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 | clock: Time |
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103 | }. |
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104 | |
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105 | nlemma sfr8051_index_nineteen: |
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106 | ∀i: SFR8051. |
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107 | sfr_8051_index i < nineteen. |
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108 | #i; ncases i; nnormalize; nrepeat (napply less_than_or_equal_monotone); |
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109 | napply less_than_or_equal_zero. |
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110 | nqed. |
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111 | |
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112 | nlemma sfr8052_index_five: |
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113 | ∀i: SFR8052. |
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114 | sfr_8052_index i < five. |
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115 | #i; ncases i; nnormalize; nrepeat (napply less_than_or_equal_monotone); |
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116 | napply less_than_or_equal_zero. |
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117 | nqed. |
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118 | |
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119 | ndefinition set_clock ≝ |
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120 | λs: Status. |
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121 | λt: Time. |
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122 | let old_code_memory ≝ code_memory s in |
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123 | let old_low_internal_ram ≝ low_internal_ram s in |
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124 | let old_high_internal_ram ≝ high_internal_ram s in |
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125 | let old_external_ram ≝ external_ram s in |
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126 | let old_program_counter ≝ program_counter s in |
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127 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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128 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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129 | let old_p1_latch ≝ p1_latch s in |
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130 | let old_p3_latch ≝ p3_latch s in |
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131 | mk_Status old_code_memory |
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132 | old_low_internal_ram |
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133 | old_high_internal_ram |
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134 | old_external_ram |
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135 | old_program_counter |
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136 | old_special_function_registers_8051 |
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137 | old_special_function_registers_8052 |
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138 | old_p1_latch |
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139 | old_p3_latch |
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140 | t. |
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141 | |
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142 | ndefinition set_p1_latch ≝ |
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143 | λs: Status. |
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144 | λb: Byte. |
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145 | let old_code_memory ≝ code_memory s in |
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146 | let old_low_internal_ram ≝ low_internal_ram s in |
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147 | let old_high_internal_ram ≝ high_internal_ram s in |
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148 | let old_external_ram ≝ external_ram s in |
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149 | let old_program_counter ≝ program_counter s in |
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150 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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151 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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152 | let old_p3_latch ≝ p3_latch s in |
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153 | let old_clock ≝ clock s in |
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154 | mk_Status old_code_memory |
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155 | old_low_internal_ram |
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156 | old_high_internal_ram |
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157 | old_external_ram |
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158 | old_program_counter |
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159 | old_special_function_registers_8051 |
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160 | old_special_function_registers_8052 |
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161 | b |
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162 | old_p3_latch |
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163 | old_clock. |
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164 | |
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165 | ndefinition set_p3_latch ≝ |
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166 | λs: Status. |
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167 | λb: Byte. |
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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_program_counter ≝ program_counter s in |
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173 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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174 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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175 | let old_p1_latch ≝ p1_latch s in |
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176 | let old_clock ≝ clock s in |
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177 | mk_Status old_code_memory |
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178 | old_low_internal_ram |
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179 | old_high_internal_ram |
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180 | old_external_ram |
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181 | old_program_counter |
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182 | old_special_function_registers_8051 |
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183 | old_special_function_registers_8052 |
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184 | old_p1_latch |
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185 | b |
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186 | old_clock. |
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187 | |
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188 | ndefinition get_8051_sfr ≝ |
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189 | λs: Status. |
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190 | λi: SFR8051. |
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191 | let sfr ≝ special_function_registers_8051 s in |
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192 | let index ≝ sfr_8051_index i in |
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193 | get_index ?? sfr index ?. |
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194 | napply (sfr8051_index_nineteen i). |
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195 | nqed. |
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196 | |
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197 | ndefinition get_8052_sfr ≝ |
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198 | λs: Status. |
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199 | λi: SFR8052. |
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200 | let sfr ≝ special_function_registers_8052 s in |
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201 | let index ≝ sfr_8052_index i in |
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202 | get_index ?? sfr index ?. |
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203 | napply (sfr8052_index_five i). |
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204 | nqed. |
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205 | |
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206 | ndefinition set_8051_sfr ≝ |
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207 | λs: Status. |
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208 | λi: SFR8051. |
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209 | λb: Byte. |
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210 | let index ≝ sfr_8051_index i in |
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211 | let old_code_memory ≝ code_memory s in |
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212 | let old_low_internal_ram ≝ low_internal_ram s in |
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213 | let old_high_internal_ram ≝ high_internal_ram s in |
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214 | let old_external_ram ≝ external_ram s in |
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215 | let old_program_counter ≝ program_counter s in |
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216 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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217 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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218 | let new_special_function_registers_8051 ≝ |
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219 | set_index Byte nineteen old_special_function_registers_8051 index b ? in |
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220 | let old_p1_latch ≝ p1_latch s in |
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221 | let old_p3_latch ≝ p3_latch s in |
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222 | let old_clock ≝ clock s in |
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223 | mk_Status old_code_memory |
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224 | old_low_internal_ram |
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225 | old_high_internal_ram |
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226 | old_external_ram |
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227 | old_program_counter |
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228 | new_special_function_registers_8051 |
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229 | old_special_function_registers_8052 |
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230 | old_p1_latch |
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231 | old_p3_latch |
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232 | old_clock. |
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233 | napply (sfr8051_index_nineteen i). |
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234 | nqed. |
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235 | |
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236 | ndefinition set_8052_sfr ≝ |
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237 | λs: Status. |
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238 | λi: SFR8052. |
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239 | λb: Byte. |
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240 | let index ≝ sfr_8052_index i in |
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241 | let old_code_memory ≝ code_memory s in |
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242 | let old_low_internal_ram ≝ low_internal_ram s in |
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243 | let old_high_internal_ram ≝ high_internal_ram s in |
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244 | let old_external_ram ≝ external_ram s in |
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245 | let old_program_counter ≝ program_counter s in |
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246 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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247 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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248 | let new_special_function_registers_8052 ≝ |
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249 | set_index Byte five old_special_function_registers_8052 index b ? in |
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250 | let old_p1_latch ≝ p1_latch s in |
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251 | let old_p3_latch ≝ p3_latch s in |
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252 | let old_clock ≝ clock s in |
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253 | mk_Status old_code_memory |
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254 | old_low_internal_ram |
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255 | old_high_internal_ram |
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256 | old_external_ram |
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257 | old_program_counter |
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258 | old_special_function_registers_8051 |
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259 | new_special_function_registers_8052 |
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260 | old_p1_latch |
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261 | old_p3_latch |
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262 | old_clock. |
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263 | napply (sfr8052_index_five i). |
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264 | nqed. |
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265 | |
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266 | ndefinition set_program_counter ≝ |
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267 | λs: Status. |
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268 | λw: Word. |
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269 | let old_code_memory ≝ code_memory s in |
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270 | let old_low_internal_ram ≝ low_internal_ram s in |
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271 | let old_high_internal_ram ≝ high_internal_ram s in |
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272 | let old_external_ram ≝ external_ram s in |
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273 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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274 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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275 | let old_p1_latch ≝ p1_latch s in |
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276 | let old_p3_latch ≝ p3_latch s in |
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277 | let old_clock ≝ clock s in |
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278 | mk_Status old_code_memory |
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279 | old_low_internal_ram |
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280 | old_high_internal_ram |
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281 | old_external_ram |
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282 | w |
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283 | old_special_function_registers_8051 |
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284 | old_special_function_registers_8052 |
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285 | old_p1_latch |
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286 | old_p3_latch |
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287 | old_clock. |
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288 | |
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289 | ndefinition set_code_memory ≝ |
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290 | λs: Status. |
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291 | λr: BitVectorTrie Byte sixteen. |
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292 | let old_low_internal_ram ≝ low_internal_ram s in |
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293 | let old_high_internal_ram ≝ high_internal_ram s in |
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294 | let old_external_ram ≝ external_ram s in |
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295 | let old_program_counter ≝ program_counter s in |
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296 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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297 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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298 | let old_p1_latch ≝ p1_latch s in |
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299 | let old_p3_latch ≝ p3_latch s in |
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300 | let old_clock ≝ clock s in |
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301 | mk_Status r |
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302 | old_low_internal_ram |
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303 | old_high_internal_ram |
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304 | old_external_ram |
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305 | old_program_counter |
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306 | old_special_function_registers_8051 |
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307 | old_special_function_registers_8052 |
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308 | old_p1_latch |
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309 | old_p3_latch |
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310 | old_clock. |
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311 | |
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312 | ndefinition set_low_internal_ram ≝ |
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313 | λs: Status. |
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314 | λr: BitVectorTrie Byte seven. |
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315 | let old_code_memory ≝ code_memory s in |
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316 | let old_high_internal_ram ≝ high_internal_ram s in |
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317 | let old_external_ram ≝ external_ram s in |
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318 | let old_program_counter ≝ program_counter s in |
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319 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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320 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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321 | let old_p1_latch ≝ p1_latch s in |
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322 | let old_p3_latch ≝ p3_latch s in |
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323 | let old_clock ≝ clock s in |
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324 | mk_Status old_code_memory |
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325 | r |
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326 | old_high_internal_ram |
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327 | old_external_ram |
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328 | old_program_counter |
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329 | old_special_function_registers_8051 |
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330 | old_special_function_registers_8052 |
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331 | old_p1_latch |
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332 | old_p3_latch |
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333 | old_clock. |
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334 | |
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335 | ndefinition set_high_internal_ram ≝ |
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336 | λs: Status. |
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337 | λr: BitVectorTrie Byte seven. |
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338 | let old_code_memory ≝ code_memory s in |
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339 | let old_low_internal_ram ≝ low_internal_ram s in |
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340 | let old_high_internal_ram ≝ high_internal_ram s in |
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341 | let old_external_ram ≝ external_ram s in |
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342 | let old_program_counter ≝ program_counter s in |
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343 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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344 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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345 | let old_p1_latch ≝ p1_latch s in |
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346 | let old_p3_latch ≝ p3_latch s in |
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347 | let old_clock ≝ clock s in |
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348 | mk_Status old_code_memory |
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349 | old_low_internal_ram |
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350 | r |
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351 | old_external_ram |
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352 | old_program_counter |
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353 | old_special_function_registers_8051 |
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354 | old_special_function_registers_8052 |
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355 | old_p1_latch |
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356 | old_p3_latch |
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357 | old_clock. |
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358 | |
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359 | ndefinition set_external_ram ≝ |
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360 | λs: Status. |
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361 | λr: BitVectorTrie Byte sixteen. |
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362 | let old_code_memory ≝ code_memory s in |
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363 | let old_low_internal_ram ≝ low_internal_ram s in |
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364 | let old_high_internal_ram ≝ high_internal_ram s in |
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365 | let old_program_counter ≝ program_counter s in |
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366 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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367 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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368 | let old_p1_latch ≝ p1_latch s in |
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369 | let old_p3_latch ≝ p3_latch s in |
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370 | let old_clock ≝ clock s in |
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371 | mk_Status old_code_memory |
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372 | old_low_internal_ram |
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373 | old_high_internal_ram |
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374 | r |
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375 | old_program_counter |
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376 | old_special_function_registers_8051 |
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377 | old_special_function_registers_8052 |
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378 | old_p1_latch |
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379 | old_p3_latch |
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380 | old_clock. |
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381 | |
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382 | ndefinition get_cy_flag ≝ |
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383 | λs: Status. |
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384 | let sfr ≝ special_function_registers_8051 s in |
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385 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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386 | get_index Bool eight psw Z ?. |
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387 | nnormalize. |
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388 | napply (less_than_or_equal_monotone ? ?). |
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389 | napply (less_than_or_equal_zero). |
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390 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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391 | napply (less_than_or_equal_zero). |
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392 | nqed. |
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393 | |
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394 | ndefinition get_ac_flag ≝ |
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395 | λs: Status. |
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396 | let sfr ≝ special_function_registers_8051 s in |
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397 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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398 | get_index Bool eight psw (S Z) ?. |
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399 | nnormalize. |
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400 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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401 | napply (less_than_or_equal_zero). |
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402 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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403 | napply (less_than_or_equal_zero). |
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404 | nqed. |
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405 | |
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406 | ndefinition get_fo_flag ≝ |
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407 | λs: Status. |
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408 | let sfr ≝ special_function_registers_8051 s in |
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409 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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410 | get_index Bool eight psw two ?. |
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411 | nnormalize. |
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412 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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413 | napply (less_than_or_equal_zero). |
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414 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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415 | napply (less_than_or_equal_zero). |
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416 | nqed. |
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417 | |
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418 | ndefinition get_rs1_flag ≝ |
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419 | λs: Status. |
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420 | let sfr ≝ special_function_registers_8051 s in |
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421 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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422 | get_index Bool eight psw three ?. |
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423 | nnormalize. |
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424 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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425 | napply (less_than_or_equal_zero). |
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426 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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427 | napply (less_than_or_equal_zero). |
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428 | nqed. |
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429 | |
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430 | ndefinition get_rs0_flag ≝ |
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431 | λs: Status. |
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432 | let sfr ≝ special_function_registers_8051 s in |
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433 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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434 | get_index Bool eight psw four ?. |
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435 | nnormalize. |
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436 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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437 | napply (less_than_or_equal_zero). |
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438 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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439 | napply (less_than_or_equal_zero). |
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440 | nqed. |
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441 | |
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442 | ndefinition get_ov_flag ≝ |
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443 | λs: Status. |
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444 | let sfr ≝ special_function_registers_8051 s in |
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445 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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446 | get_index Bool eight psw five ?. |
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447 | nnormalize. |
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448 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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449 | napply (less_than_or_equal_zero). |
---|
450 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
---|
451 | napply (less_than_or_equal_zero). |
---|
452 | nqed. |
---|
453 | |
---|
454 | ndefinition get_ud_flag ≝ |
---|
455 | λs: Status. |
---|
456 | let sfr ≝ special_function_registers_8051 s in |
---|
457 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
---|
458 | get_index Bool eight psw six ?. |
---|
459 | nnormalize. |
---|
460 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
---|
461 | napply (less_than_or_equal_zero). |
---|
462 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
---|
463 | napply (less_than_or_equal_zero). |
---|
464 | nqed. |
---|
465 | |
---|
466 | ndefinition get_p_flag ≝ |
---|
467 | λs: Status. |
---|
468 | let sfr ≝ special_function_registers_8051 s in |
---|
469 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
---|
470 | get_index Bool eight psw seven ?. |
---|
471 | nnormalize. |
---|
472 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
---|
473 | napply (less_than_or_equal_zero). |
---|
474 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
---|
475 | napply (less_than_or_equal_zero). |
---|
476 | nqed. |
---|
477 | |
---|
478 | ndefinition set_flags ≝ |
---|
479 | λs: Status. |
---|
480 | λcy: Bit. |
---|
481 | λac: Maybe Bit. |
---|
482 | λov: Bit. |
---|
483 | let 〈 nu, nl 〉 ≝ split … four four (get_8051_sfr s SFR_PSW) in |
---|
484 | let old_cy ≝ get_index … nu Z ? in |
---|
485 | let old_ac ≝ get_index … nu one ? in |
---|
486 | let old_fo ≝ get_index … nu two ? in |
---|
487 | let old_rs1 ≝ get_index … nu three ? in |
---|
488 | let old_rs0 ≝ get_index … nl Z ? in |
---|
489 | let old_ov ≝ get_index … nl one ? in |
---|
490 | let old_ud ≝ get_index … nl two ? in |
---|
491 | let old_p ≝ get_index … nl three ? in |
---|
492 | let new_ac ≝ match ac with [ Nothing ⇒ old_ac | Just j ⇒ j ] in |
---|
493 | let new_psw ≝ [[ old_cy ; new_ac ; old_fo ; old_rs1 ; |
---|
494 | old_rs0 ; old_ov ; old_ud ; old_p ]] in |
---|
495 | set_8051_sfr s SFR_PSW new_psw. |
---|
496 | ##[##1,2,3,4,5,6,7,8: |
---|
497 | nnormalize; |
---|
498 | nrepeat (napply less_than_or_equal_monotone); |
---|
499 | napply (less_than_or_equal_zero); |
---|
500 | ##] |
---|
501 | nqed. |
---|
502 | |
---|
503 | ndefinition initialise_status ≝ |
---|
504 | let status ≝ mk_Status (Stub Byte sixteen) (* Code mem. *) |
---|
505 | (Stub Byte seven) (* Low mem. *) |
---|
506 | (Stub Byte seven) (* High mem. *) |
---|
507 | (Stub Byte sixteen) (* Ext mem. *) |
---|
508 | (zero sixteen) (* PC. *) |
---|
509 | (replicate Byte nineteen (zero eight)) (* 8051 SFR. *) |
---|
510 | (replicate Byte five (zero eight)) (* 8052 SFR. *) |
---|
511 | (zero eight) (* P1 latch. *) |
---|
512 | (zero eight) (* P3 latch. *) |
---|
513 | Z (* Clock. *) |
---|
514 | in |
---|
515 | set_8051_sfr status SFR_SP (bitvector_of_nat eight seven). |
---|
516 | |
---|
517 | naxiom not_implemented: False. |
---|
518 | |
---|
519 | ndefinition get_bit_addressable_sfr ≝ |
---|
520 | λs: Status. |
---|
521 | λn: Nat. |
---|
522 | λb: BitVector n. |
---|
523 | λl: Bool. |
---|
524 | let address ≝ nat_of_bitvector … b in |
---|
525 | if (eq_n address one_hundred_and_twenty_eight) then |
---|
526 | ? |
---|
527 | else if (eq_n address one_hundred_and_forty_four) then |
---|
528 | if l then |
---|
529 | (p1_latch s) |
---|
530 | else |
---|
531 | (get_8051_sfr s SFR_P1) |
---|
532 | else if (eq_n address one_hundred_and_sixty) then |
---|
533 | ? |
---|
534 | else if (eq_n address one_hundred_and_seventy_six) then |
---|
535 | if l then |
---|
536 | (p3_latch s) |
---|
537 | else |
---|
538 | (get_8051_sfr s SFR_P3) |
---|
539 | else if (eq_n address one_hundred_and_fifty_three) then |
---|
540 | get_8051_sfr s SFR_SBUF |
---|
541 | else if (eq_n address one_hundred_and_thirty_eight) then |
---|
542 | get_8051_sfr s SFR_TL0 |
---|
543 | else if (eq_n address one_hundred_and_thirty_nine) then |
---|
544 | get_8051_sfr s SFR_TL1 |
---|
545 | else if (eq_n address one_hundred_and_forty) then |
---|
546 | get_8051_sfr s SFR_TH0 |
---|
547 | else if (eq_n address one_hundred_and_forty_one) then |
---|
548 | get_8051_sfr s SFR_TH1 |
---|
549 | else if (eq_n address two_hundred) then |
---|
550 | get_8052_sfr s SFR_T2CON |
---|
551 | else if (eq_n address two_hundred_and_two) then |
---|
552 | get_8052_sfr s SFR_RCAP2L |
---|
553 | else if (eq_n address two_hundred_and_three) then |
---|
554 | get_8052_sfr s SFR_RCAP2H |
---|
555 | else if (eq_n address two_hundred_and_four) then |
---|
556 | get_8052_sfr s SFR_TL2 |
---|
557 | else if (eq_n address two_hundred_and_five) then |
---|
558 | get_8052_sfr s SFR_TH2 |
---|
559 | else if (eq_n address one_hundred_and_thirty_five) then |
---|
560 | get_8051_sfr s SFR_PCON |
---|
561 | else if (eq_n address one_hundred_and_thirty_six) then |
---|
562 | get_8051_sfr s SFR_TCON |
---|
563 | else if (eq_n address one_hundred_and_thirty_seven) then |
---|
564 | get_8051_sfr s SFR_TMOD |
---|
565 | else if (eq_n address one_hundred_and_fifty_two) then |
---|
566 | get_8051_sfr s SFR_SCON |
---|
567 | else if (eq_n address one_hundred_and_sixty_eight) then |
---|
568 | get_8051_sfr s SFR_IE |
---|
569 | else if (eq_n address one_hundred_and_eighty_four) then |
---|
570 | get_8051_sfr s SFR_IP |
---|
571 | else if (eq_n address one_hundred_and_twenty_nine) then |
---|
572 | get_8051_sfr s SFR_SP |
---|
573 | else if (eq_n address one_hundred_and_thirty) then |
---|
574 | get_8051_sfr s SFR_DPL |
---|
575 | else if (eq_n address one_hundred_and_thirty_one) then |
---|
576 | get_8051_sfr s SFR_DPH |
---|
577 | else if (eq_n address two_hundred_and_eight) then |
---|
578 | get_8051_sfr s SFR_PSW |
---|
579 | else if (eq_n address two_hundred_and_twenty_four) then |
---|
580 | get_8051_sfr s SFR_ACC_A |
---|
581 | else if (eq_n address two_hundred_and_forty) then |
---|
582 | get_8051_sfr s SFR_ACC_B |
---|
583 | else |
---|
584 | ?. |
---|
585 | ncases not_implemented. |
---|
586 | nqed. |
---|
587 | |
---|
588 | ndefinition set_bit_addressable_sfr ≝ |
---|
589 | λs: Status. |
---|
590 | λb: Byte. |
---|
591 | λv: Byte. |
---|
592 | let address ≝ nat_of_bitvector … b in |
---|
593 | if (eq_n address one_hundred_and_twenty_eight) then |
---|
594 | ? |
---|
595 | else if (eq_n address one_hundred_and_forty_four) then |
---|
596 | let status_1 ≝ set_8051_sfr s SFR_P1 v in |
---|
597 | let status_2 ≝ set_p1_latch s v in |
---|
598 | status_2 |
---|
599 | else if (eq_n address one_hundred_and_sixty) then |
---|
600 | ? |
---|
601 | else if (eq_n address one_hundred_and_seventy_six) then |
---|
602 | let status_1 ≝ set_8051_sfr s SFR_P3 v in |
---|
603 | let status_2 ≝ set_p3_latch s v in |
---|
604 | status_2 |
---|
605 | else if (eq_n address one_hundred_and_fifty_three) then |
---|
606 | set_8051_sfr s SFR_SBUF v |
---|
607 | else if (eq_n address one_hundred_and_thirty_eight) then |
---|
608 | set_8051_sfr s SFR_TL0 v |
---|
609 | else if (eq_n address one_hundred_and_thirty_nine) then |
---|
610 | set_8051_sfr s SFR_TL1 v |
---|
611 | else if (eq_n address one_hundred_and_forty) then |
---|
612 | set_8051_sfr s SFR_TH0 v |
---|
613 | else if (eq_n address one_hundred_and_forty_one) then |
---|
614 | set_8051_sfr s SFR_TH1 v |
---|
615 | else if (eq_n address two_hundred) then |
---|
616 | set_8052_sfr s SFR_T2CON v |
---|
617 | else if (eq_n address two_hundred_and_two) then |
---|
618 | set_8052_sfr s SFR_RCAP2L v |
---|
619 | else if (eq_n address two_hundred_and_three) then |
---|
620 | set_8052_sfr s SFR_RCAP2H v |
---|
621 | else if (eq_n address two_hundred_and_four) then |
---|
622 | set_8052_sfr s SFR_TL2 v |
---|
623 | else if (eq_n address two_hundred_and_five) then |
---|
624 | set_8052_sfr s SFR_TH2 v |
---|
625 | else if (eq_n address one_hundred_and_thirty_five) then |
---|
626 | set_8051_sfr s SFR_PCON v |
---|
627 | else if (eq_n address one_hundred_and_thirty_six) then |
---|
628 | set_8051_sfr s SFR_TCON v |
---|
629 | else if (eq_n address one_hundred_and_thirty_seven) then |
---|
630 | set_8051_sfr s SFR_TMOD v |
---|
631 | else if (eq_n address one_hundred_and_fifty_two) then |
---|
632 | set_8051_sfr s SFR_SCON v |
---|
633 | else if (eq_n address one_hundred_and_sixty_eight) then |
---|
634 | set_8051_sfr s SFR_IE v |
---|
635 | else if (eq_n address one_hundred_and_eighty_four) then |
---|
636 | set_8051_sfr s SFR_IP v |
---|
637 | else if (eq_n address one_hundred_and_twenty_nine) then |
---|
638 | set_8051_sfr s SFR_SP v |
---|
639 | else if (eq_n address one_hundred_and_thirty) then |
---|
640 | set_8051_sfr s SFR_DPL v |
---|
641 | else if (eq_n address one_hundred_and_thirty_one) then |
---|
642 | set_8051_sfr s SFR_DPH v |
---|
643 | else if (eq_n address two_hundred_and_eight) then |
---|
644 | set_8051_sfr s SFR_PSW v |
---|
645 | else if (eq_n address two_hundred_and_twenty_four) then |
---|
646 | set_8051_sfr s SFR_ACC_A v |
---|
647 | else if (eq_n address two_hundred_and_forty) then |
---|
648 | set_8051_sfr s SFR_ACC_B v |
---|
649 | else |
---|
650 | ?. |
---|
651 | ncases not_implemented. |
---|
652 | nqed. |
---|
653 | |
---|
654 | ndefinition bit_address_of_register ≝ |
---|
655 | λs: Status. |
---|
656 | λr: BitVector three. |
---|
657 | let b ≝ get_index_bv ? r Z ? in |
---|
658 | let c ≝ get_index_bv ? r one ? in |
---|
659 | let d ≝ get_index_bv ? r two ? in |
---|
660 | let 〈 un, ln 〉 ≝ split ? four four (get_8051_sfr s SFR_PSW) in |
---|
661 | let 〈 r1, r0 〉 ≝ mk_Cartesian … (get_index_bv four un two ?) (get_index_bv four un three ?) in |
---|
662 | let offset ≝ |
---|
663 | if conjunction (negation r1) (negation r0) then |
---|
664 | Z |
---|
665 | else if conjunction (negation r1) r0 then |
---|
666 | eight |
---|
667 | else if conjunction r1 r0 then |
---|
668 | twenty_four |
---|
669 | else |
---|
670 | sixteen |
---|
671 | in |
---|
672 | bitvector_of_nat seven (offset + (nat_of_bitvector ? [[ false ; b ; c ; d ]])). |
---|
673 | ##[##1,2,3,4,5: |
---|
674 | nnormalize; |
---|
675 | nrepeat (napply less_than_or_equal_monotone); |
---|
676 | napply less_than_or_equal_zero; |
---|
677 | ##] |
---|
678 | nqed. |
---|
679 | |
---|
680 | ndefinition get_register ≝ |
---|
681 | λs: Status. |
---|
682 | λr: BitVector three. |
---|
683 | let address ≝ bit_address_of_register s r in |
---|
684 | lookup … address (low_internal_ram s) (zero eight). |
---|
685 | |
---|
686 | ndefinition set_register ≝ |
---|
687 | λs: Status. |
---|
688 | λr: BitVector three. |
---|
689 | λv: Byte. |
---|
690 | let address ≝ bit_address_of_register s r in |
---|
691 | let old_low_internal_ram ≝ low_internal_ram s in |
---|
692 | let new_low_internal_ram ≝ insert … address v old_low_internal_ram in |
---|
693 | set_low_internal_ram s new_low_internal_ram. |
---|
694 | |
---|
695 | ndefinition read_at_stack_pointer ≝ |
---|
696 | λs: Status. |
---|
697 | let 〈 nu, nl 〉 ≝ split … four four (get_8051_sfr s SFR_SP) in |
---|
698 | let m ≝ get_index_bv … nu Z ? in |
---|
699 | let r1 ≝ get_index_bv … nu one ? in |
---|
700 | let r2 ≝ get_index_bv … nu two ? in |
---|
701 | let r3 ≝ get_index_bv … nu three ? in |
---|
702 | let address ≝ [[ r1 ; r2 ; r3 ]] @@ nl in |
---|
703 | let memory ≝ |
---|
704 | if m then |
---|
705 | (low_internal_ram s) |
---|
706 | else |
---|
707 | (high_internal_ram s) |
---|
708 | in |
---|
709 | lookup … address memory (zero eight). |
---|
710 | ##[##1,2,3,4: |
---|
711 | nnormalize; |
---|
712 | nrepeat (napply less_than_or_equal_monotone); |
---|
713 | napply less_than_or_equal_zero; |
---|
714 | ##] |
---|
715 | nqed. |
---|
716 | |
---|
717 | ndefinition write_at_stack_pointer ≝ |
---|
718 | λs: Status. |
---|
719 | λv: Byte. |
---|
720 | let 〈 nu, nl 〉 ≝ split … four four (get_8051_sfr s SFR_SP) in |
---|
721 | let bit_zero ≝ get_index … nu Z ? in |
---|
722 | let bit_one ≝ get_index … nu one ? in |
---|
723 | let bit_two ≝ get_index … nu two ? in |
---|
724 | let bit_three ≝ get_index … nu three ? in |
---|
725 | if bit_zero then |
---|
726 | let memory ≝ insert … ([[ bit_one ; bit_two ; bit_three ]] @@ nl) |
---|
727 | v (low_internal_ram s) in |
---|
728 | set_low_internal_ram s memory |
---|
729 | else |
---|
730 | let memory ≝ insert … ([[ bit_one ; bit_two ; bit_three ]] @@ nl) |
---|
731 | v (high_internal_ram s) in |
---|
732 | set_high_internal_ram s memory. |
---|
733 | ##[##1,2,3,4: |
---|
734 | nnormalize; |
---|
735 | nrepeat (napply less_than_or_equal_monotone); |
---|
736 | napply less_than_or_equal_zero; |
---|
737 | ##] |
---|
738 | nqed. |
---|
739 | |
---|
740 | ndefinition set_arg_16: Status → Word → [[ dptr ]] → Status ≝ |
---|
741 | λs,v,a. |
---|
742 | match a return λx. bool_to_Prop (is_in ? [[ dptr ]] x) → ? with |
---|
743 | [ DPTR ⇒ λ_:True. |
---|
744 | let 〈 bu, bl 〉 ≝ split … eight eight v in |
---|
745 | let status ≝ set_8051_sfr s SFR_DPH bu in |
---|
746 | let status ≝ set_8051_sfr status SFR_DPL bl in |
---|
747 | status |
---|
748 | | _ ⇒ λK. |
---|
749 | match K in False with |
---|
750 | [ |
---|
751 | ] |
---|
752 | ] (subaddressing_modein … a). |
---|
753 | |
---|
754 | ndefinition get_arg_16: Status → [[ data16 ]] → Word ≝ |
---|
755 | λs, a. |
---|
756 | match a return λx. bool_to_Prop (is_in ? [[ data16 ]] x) → ? with |
---|
757 | [ DATA16 d ⇒ λ_:True. d |
---|
758 | | _ ⇒ λK. |
---|
759 | match K in False with |
---|
760 | [ |
---|
761 | ] |
---|
762 | ] (subaddressing_modein … a). |
---|
763 | |
---|
764 | ndefinition get_arg_8: Status → Bool → [[ direct ; indirect ; register ; |
---|
765 | acc_a ; acc_b ; data ; acc_dptr ; |
---|
766 | acc_pc ; ext_indirect ; |
---|
767 | ext_indirect_dptr ]] → Byte ≝ |
---|
768 | λs, l, a. |
---|
769 | match a return λx. bool_to_Prop (is_in ? [[ direct ; indirect ; register ; |
---|
770 | acc_a ; acc_b ; data ; acc_dptr ; |
---|
771 | acc_pc ; ext_indirect ; |
---|
772 | ext_indirect_dptr ]] x) → ? with |
---|
773 | [ ACC_A ⇒ λacc_a: True. get_8051_sfr s SFR_ACC_A |
---|
774 | | ACC_B ⇒ λacc_b: True. get_8051_sfr s SFR_ACC_B |
---|
775 | | DATA d ⇒ λdata: True. d |
---|
776 | | REGISTER r ⇒ λregister: True. get_register s r |
---|
777 | | EXT_INDIRECT_DPTR ⇒ |
---|
778 | λext_indirect_dptr: True. |
---|
779 | let address ≝ (get_8051_sfr s SFR_DPH) @@ (get_8051_sfr s SFR_DPL) in |
---|
780 | lookup … sixteen address (external_ram s) (zero eight) |
---|
781 | | EXT_INDIRECT e ⇒ |
---|
782 | λext_indirect: True. |
---|
783 | let address ≝ get_register s [[ false; false; e ]] in |
---|
784 | let padded_address ≝ pad eight eight address in |
---|
785 | lookup … sixteen padded_address (external_ram s) (zero eight) |
---|
786 | | ACC_DPTR ⇒ |
---|
787 | λacc_dptr: True. |
---|
788 | let dptr ≝ (get_8051_sfr s SFR_DPH) @@ (get_8051_sfr s SFR_DPL) in |
---|
789 | let padded_acc ≝ pad eight eight (get_8051_sfr s SFR_ACC_A) in |
---|
790 | let 〈 carry, address 〉 ≝ half_add sixteen dptr padded_acc in |
---|
791 | lookup … sixteen address (external_ram s) (zero eight) |
---|
792 | | ACC_PC ⇒ |
---|
793 | λacc_pc: True. |
---|
794 | let padded_acc ≝ pad eight eight (get_8051_sfr s SFR_ACC_A) in |
---|
795 | let 〈 carry, address 〉 ≝ half_add sixteen (program_counter s) padded_acc in |
---|
796 | lookup … sixteen address (external_ram s) (zero eight) |
---|
797 | | DIRECT d ⇒ |
---|
798 | λdirect: True. |
---|
799 | let 〈 nu, nl 〉 ≝ split … four four d in |
---|
800 | let bit_one ≝ get_index_bv … nu one ? in |
---|
801 | match bit_one with |
---|
802 | [ true ⇒ |
---|
803 | let 〈 bit_one, three_bits 〉 ≝ split ? one three nu in |
---|
804 | let address ≝ three_bits @@ nl in |
---|
805 | lookup ? seven address (low_internal_ram s) (zero eight) |
---|
806 | | false ⇒ get_bit_addressable_sfr s eight d l |
---|
807 | ] |
---|
808 | | INDIRECT i ⇒ |
---|
809 | λindirect: True. |
---|
810 | let 〈 nu, nl 〉 ≝ split ? four four (get_register s [[ false; false; i]]) in |
---|
811 | let 〈 bit_one_v, three_bits 〉 ≝ split ? one three nu in |
---|
812 | let bit_one ≝ get_index_bv … bit_one_v Z ? in |
---|
813 | match bit_one with |
---|
814 | [ true ⇒ |
---|
815 | lookup ? seven (three_bits @@ nl) (low_internal_ram s) (zero eight) |
---|
816 | | false ⇒ |
---|
817 | lookup ? seven (three_bits @@ nl) (high_internal_ram s) (zero eight) |
---|
818 | ] |
---|
819 | | _ ⇒ λother. |
---|
820 | match other in False with [ ] |
---|
821 | ] (subaddressing_modein … a). |
---|
822 | ##[##1,2: |
---|
823 | nnormalize; |
---|
824 | nrepeat (napply less_than_or_equal_monotone); |
---|
825 | napply less_than_or_equal_zero; |
---|
826 | ##] |
---|
827 | nqed. |
---|
828 | |
---|
829 | ndefinition set_arg_8: Status → [[ direct ; indirect ; register ; |
---|
830 | acc_a ; acc_b ; ext_indirect ; |
---|
831 | ext_indirect_dptr ]] → Byte → Status ≝ |
---|
832 | λs, a, v. |
---|
833 | match a return λx. bool_to_Prop (is_in ? [[ direct ; indirect ; register ; |
---|
834 | acc_a ; acc_b ; ext_indirect ; |
---|
835 | ext_indirect_dptr ]] x) → ? with |
---|
836 | [ DIRECT d ⇒ |
---|
837 | λdirect: True. |
---|
838 | let 〈 nu, nl 〉 ≝ split … four four d in |
---|
839 | let bit_one ≝ get_index_bv … nu one ? in |
---|
840 | let 〈 ignore, three_bits 〉 ≝ split ? one three nu in |
---|
841 | match bit_one with |
---|
842 | [ true ⇒ set_bit_addressable_sfr s d v |
---|
843 | | false ⇒ |
---|
844 | let memory ≝ insert ? seven (three_bits @@ nl) v (low_internal_ram s) in |
---|
845 | set_low_internal_ram s memory |
---|
846 | ] |
---|
847 | | INDIRECT i ⇒ |
---|
848 | λindirect: True. |
---|
849 | let register ≝ get_register s [[ false; false; i ]] in |
---|
850 | let 〈 nu, nl 〉 ≝ split ? four four register in |
---|
851 | let bit_one ≝ get_index_bv ? nu one ? in |
---|
852 | let 〈 ignore, three_bits 〉 ≝ split ? one three nu in |
---|
853 | match bit_one with |
---|
854 | [ true ⇒ |
---|
855 | let memory ≝ insert … (three_bits @@ nl) v (low_internal_ram s) in |
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856 | set_low_internal_ram s memory |
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857 | | false ⇒ |
---|
858 | let memory ≝ insert … (three_bits @@ nl) v (high_internal_ram s) in |
---|
859 | set_high_internal_ram s memory |
---|
860 | ] |
---|
861 | | REGISTER r ⇒ λregister: True. set_register s r v |
---|
862 | | ACC_A ⇒ λacc_a: True. set_8051_sfr s SFR_ACC_A v |
---|
863 | | ACC_B ⇒ λacc_b: True. set_8051_sfr s SFR_ACC_B v |
---|
864 | | EXT_INDIRECT e ⇒ |
---|
865 | λext_indirect: True. |
---|
866 | let address ≝ get_register s [[ false; false; e ]] in |
---|
867 | let padded_address ≝ pad eight eight address in |
---|
868 | let memory ≝ insert ? sixteen padded_address v (external_ram s) in |
---|
869 | set_external_ram s memory |
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870 | | EXT_INDIRECT_DPTR ⇒ |
---|
871 | λext_indirect_dptr: True. |
---|
872 | let address ≝ (get_8051_sfr s SFR_DPH) @@ (get_8051_sfr s SFR_DPL) in |
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873 | let memory ≝ insert ? sixteen address v (external_ram s) in |
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874 | set_external_ram s memory |
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875 | | _ ⇒ |
---|
876 | λother: False. |
---|
877 | match other in False with [ ] |
---|
878 | ] (subaddressing_modein … a). |
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879 | ##[##1,2: |
---|
880 | nnormalize; |
---|
881 | nrepeat (napply less_than_or_equal_monotone); |
---|
882 | napply less_than_or_equal_zero |
---|
883 | ##] |
---|
884 | nqed. |
---|
885 | |
---|
886 | ntheorem modulus_less_than: |
---|
887 | ∀m,n: Nat. (m mod (S n)) < S n. |
---|
888 | #n m; nnormalize; napply less_than_or_equal_monotone; |
---|
889 | nlapply (ltoe_refl n); |
---|
890 | ngeneralize in ⊢ (?%? → ?(??%?)?); |
---|
891 | nelim n in ⊢ (∀_:?. ??% → ?(?%??)?) |
---|
892 | [ nnormalize; #n; napply (less_than_or_equal_b_elim n m); nnormalize |
---|
893 | [ // | #H K; ninversion K [ #H1; nrewrite < H1; // | #x H1 H2 H3; ndestruct ]##] |
---|
894 | ##| nnormalize; #y H1 n H2; napply (less_than_or_equal_b_elim n m); nnormalize |
---|
895 | [ // | #K; napply H1; ncut (n ≤ S y → n - S m ≤ y); /2/; |
---|
896 | ncases n; nnormalize; //; |
---|
897 | #x K1; nlapply (less_than_or_equal_injective … K1); ngeneralize in match m; |
---|
898 | nelim x; nnormalize; //; #w1 H m; ncases m; nnormalize; //; |
---|
899 | #q K2; napply H; /3/] |
---|
900 | nqed. |
---|
901 | |
---|
902 | ndefinition get_arg_1: Status → [[ bit_addr ; n_bit_addr ; carry ]] → |
---|
903 | Bool → Bool ≝ |
---|
904 | λs, a, l. |
---|
905 | match a return λx. bool_to_Prop (is_in ? [[ bit_addr ; |
---|
906 | n_bit_addr ; |
---|
907 | carry ]] x) → ? with |
---|
908 | [ BIT_ADDR b ⇒ |
---|
909 | λbit_addr: True. |
---|
910 | let 〈 nu, nl 〉 ≝ split … four four b in |
---|
911 | let bit_one ≝ get_index_bv … nu one ? in |
---|
912 | let 〈 bit_one_v, three_bits 〉 ≝ split ? one three nu in |
---|
913 | match bit_one with |
---|
914 | [ true ⇒ |
---|
915 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
---|
916 | let d ≝ address ÷ eight in |
---|
917 | let m ≝ address mod eight in |
---|
918 | let trans ≝ bitvector_of_nat eight ((d * eight) + one_hundred_and_twenty_eight) in |
---|
919 | let sfr ≝ get_bit_addressable_sfr s ? trans l in |
---|
920 | get_index_bv ? sfr m ? |
---|
921 | | false ⇒ |
---|
922 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
---|
923 | let address' ≝ bitvector_of_nat seven ((address ÷ eight) + thirty_two) in |
---|
924 | let t ≝ lookup … seven address' (low_internal_ram s) (zero eight) in |
---|
925 | get_index_bv ? t (modulus address eight) ? |
---|
926 | ] |
---|
927 | | N_BIT_ADDR n ⇒ |
---|
928 | λn_bit_addr: True. |
---|
929 | let 〈 nu, nl 〉 ≝ split … four four n in |
---|
930 | let bit_one ≝ get_index_bv … nu one ? in |
---|
931 | let 〈 bit_one_v, three_bits 〉 ≝ split ? one three nu in |
---|
932 | match bit_one with |
---|
933 | [ true ⇒ |
---|
934 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
---|
935 | let d ≝ address ÷ eight in |
---|
936 | let m ≝ address mod eight in |
---|
937 | let trans ≝ bitvector_of_nat eight ((d * eight) + one_hundred_and_twenty_eight) in |
---|
938 | let sfr ≝ get_bit_addressable_sfr s ? trans l in |
---|
939 | negation (get_index_bv ? sfr m ?) |
---|
940 | | false ⇒ |
---|
941 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
---|
942 | let address' ≝ bitvector_of_nat seven ((address ÷ eight) + thirty_two) in |
---|
943 | let trans ≝ lookup … seven address' (low_internal_ram s) (zero eight) in |
---|
944 | negation (get_index_bv ? trans (modulus address eight) ?) |
---|
945 | ] |
---|
946 | | CARRY ⇒ λcarry: True. get_cy_flag s |
---|
947 | | _ ⇒ λother. |
---|
948 | match other in False with [ ] |
---|
949 | ] (subaddressing_modein … a). |
---|
950 | ##[##3,6: |
---|
951 | nnormalize; |
---|
952 | nrepeat (napply less_than_or_equal_monotone); |
---|
953 | napply less_than_or_equal_zero; |
---|
954 | ##|##1,2,4,5: |
---|
955 | napply modulus_less_than; |
---|
956 | ##] |
---|
957 | nqed. |
---|
958 | |
---|
959 | ndefinition set_arg_1: Status → [[ bit_addr ; carry ]] → |
---|
960 | Bit → Status ≝ |
---|
961 | λs, a, v. |
---|
962 | match a return λx. bool_to_Prop (is_in ? [[ bit_addr ; carry ]] x) → ? with |
---|
963 | [ BIT_ADDR b ⇒ λbit_addr: True. |
---|
964 | let 〈 nu, nl 〉 ≝ split ? four four (get_8051_sfr s SFR_PSW) in |
---|
965 | let bit_one ≝ get_index_bv ? nu one ? in |
---|
966 | let 〈 ignore, three_bits 〉 ≝ split ? one three nu in |
---|
967 | match bit_one with |
---|
968 | [ true ⇒ |
---|
969 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
---|
970 | let d ≝ address ÷ eight in |
---|
971 | let m ≝ address mod eight in |
---|
972 | let t ≝ bitvector_of_nat eight ((d * eight) + one_hundred_and_twenty_eight) in |
---|
973 | let sfr ≝ get_bit_addressable_sfr s ? t true in |
---|
974 | let new_sfr ≝ set_index … sfr m v ? in |
---|
975 | set_bit_addressable_sfr s new_sfr t |
---|
976 | | false ⇒ |
---|
977 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
---|
978 | let address' ≝ bitvector_of_nat seven ((address ÷ eight) + thirty_two) in |
---|
979 | let t ≝ lookup … seven address' (low_internal_ram s) (zero eight) in |
---|
980 | let n_bit ≝ set_index … t (modulus address eight) v ? in |
---|
981 | let memory ≝ insert ? seven address' n_bit (low_internal_ram s) in |
---|
982 | set_low_internal_ram s memory |
---|
983 | ] |
---|
984 | | CARRY ⇒ |
---|
985 | λcarry: True. |
---|
986 | let 〈 nu, nl 〉 ≝ split ? four four (get_8051_sfr s SFR_PSW) in |
---|
987 | let bit_one ≝ get_index … nu one ? in |
---|
988 | let bit_two ≝ get_index … nu two ? in |
---|
989 | let bit_three ≝ get_index … nu three ? in |
---|
990 | let new_psw ≝ [[ v; bit_one ; bit_two; bit_three ]] @@ nl in |
---|
991 | set_8051_sfr s SFR_PSW new_psw |
---|
992 | | _ ⇒ |
---|
993 | λother: False. |
---|
994 | match other in False with |
---|
995 | [ ] |
---|
996 | ] (subaddressing_modein … a). |
---|
997 | ##[##1,2,3,6: |
---|
998 | nnormalize; |
---|
999 | nrepeat (napply less_than_or_equal_monotone); |
---|
1000 | napply less_than_or_equal_zero; |
---|
1001 | ##|##4,5: |
---|
1002 | napply modulus_less_than; |
---|
1003 | ##] |
---|
1004 | nqed. |
---|
1005 | |
---|
1006 | ndefinition load_code_memory ≝ |
---|
1007 | fold_left_i … (λi,mem,v. insert … (bitvector_of_nat … i) v mem) (Stub Byte sixteen). |
---|
1008 | |
---|
1009 | ndefinition load ≝ |
---|
1010 | λl,status. set_code_memory status (load_code_memory l). |
---|