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/ASM.ma". |
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6 | include "ASM/Arithmetic.ma". |
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7 | include "ASM/BitVectorTrie.ma". |
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8 | |
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9 | definition Time ≝ nat. |
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10 | |
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11 | inductive 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 | inductive 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 | inductive 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 | definition 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 ⇒ O |
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47 | | SFR_DPL ⇒ 1 |
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48 | | SFR_DPH ⇒ 2 |
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49 | | SFR_PCON ⇒ 3 |
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50 | | SFR_TCON ⇒ 4 |
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51 | | SFR_TMOD ⇒ 5 |
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52 | | SFR_TL0 ⇒ 6 |
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53 | | SFR_TL1 ⇒ 7 |
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54 | | SFR_TH0 ⇒ 8 |
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55 | | SFR_TH1 ⇒ 9 |
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56 | | SFR_P1 ⇒ 10 |
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57 | | SFR_SCON ⇒ 11 |
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58 | | SFR_SBUF ⇒ 12 |
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59 | | SFR_IE ⇒ 13 |
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60 | | SFR_P3 ⇒ 14 |
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61 | | SFR_IP ⇒ 15 |
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62 | | SFR_PSW ⇒ 16 |
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63 | | SFR_ACC_A ⇒ 17 |
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64 | | SFR_ACC_B ⇒ 18 |
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65 | ]. |
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66 | |
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67 | inductive 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 | definition 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 ⇒ O |
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78 | | SFR_RCAP2L ⇒ 1 |
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79 | | SFR_RCAP2H ⇒ 2 |
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80 | | SFR_TL2 ⇒ 3 |
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81 | | SFR_TH2 ⇒ 4 |
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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 | record PreStatus (M: Type[0]): Type[0] ≝ |
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88 | { |
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89 | code_memory: M; |
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90 | low_internal_ram: BitVectorTrie Byte 7; |
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91 | high_internal_ram: BitVectorTrie Byte 7; |
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92 | external_ram: BitVectorTrie Byte 16; |
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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 19; |
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97 | special_function_registers_8052: Vector Byte 5; |
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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 | definition Status ≝ PreStatus (BitVectorTrie Byte 16). |
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106 | definition PseudoStatus ≝ PreStatus (pseudo_assembly_program). |
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107 | |
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108 | lemma sfr8051_index_19: |
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109 | ∀i: SFR8051. |
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110 | sfr_8051_index i < 19. |
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111 | # i |
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112 | cases i |
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113 | normalize |
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114 | repeat (@ le_S_S) |
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115 | @ le_O_n |
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116 | qed. |
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117 | |
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118 | lemma sfr8052_index_5: |
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119 | ∀i: SFR8052. |
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120 | sfr_8052_index i < 5. |
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121 | # i |
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122 | cases i |
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123 | normalize |
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124 | repeat (@ le_S_S) |
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125 | @ le_O_n |
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126 | qed. |
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127 | |
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128 | definition set_clock ≝ |
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129 | λM: Type[0]. |
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130 | λs: PreStatus M. |
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131 | λt: Time. |
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132 | let old_code_memory ≝ code_memory ? s in |
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133 | let old_low_internal_ram ≝ low_internal_ram ? s in |
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134 | let old_high_internal_ram ≝ high_internal_ram ? s in |
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135 | let old_external_ram ≝ external_ram ? s in |
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136 | let old_program_counter ≝ program_counter ? s in |
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137 | let old_special_function_registers_8051 ≝ special_function_registers_8051 ? s in |
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138 | let old_special_function_registers_8052 ≝ special_function_registers_8052 ? s in |
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139 | let old_p1_latch ≝ p1_latch ? s in |
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140 | let old_p3_latch ≝ p3_latch ? s in |
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141 | mk_PreStatus M old_code_memory |
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142 | old_low_internal_ram |
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143 | old_high_internal_ram |
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144 | old_external_ram |
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145 | old_program_counter |
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146 | old_special_function_registers_8051 |
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147 | old_special_function_registers_8052 |
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148 | old_p1_latch |
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149 | old_p3_latch |
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150 | t. |
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151 | |
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152 | definition set_p1_latch ≝ |
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153 | λM: Type[0]. |
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154 | λs: PreStatus M. |
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155 | λb: Byte. |
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156 | let old_code_memory ≝ code_memory ? s in |
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157 | let old_low_internal_ram ≝ low_internal_ram ? s in |
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158 | let old_high_internal_ram ≝ high_internal_ram ? s in |
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159 | let old_external_ram ≝ external_ram ? s in |
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160 | let old_program_counter ≝ program_counter ? s in |
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161 | let old_special_function_registers_8051 ≝ special_function_registers_8051 ? s in |
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162 | let old_special_function_registers_8052 ≝ special_function_registers_8052 ? s in |
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163 | let old_p3_latch ≝ p3_latch ? s in |
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164 | let old_clock ≝ clock ? s in |
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165 | mk_PreStatus M old_code_memory |
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166 | old_low_internal_ram |
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167 | old_high_internal_ram |
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168 | old_external_ram |
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169 | old_program_counter |
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170 | old_special_function_registers_8051 |
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171 | old_special_function_registers_8052 |
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172 | b |
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173 | old_p3_latch |
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174 | old_clock. |
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175 | |
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176 | definition set_p3_latch ≝ |
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177 | λM: Type[0]. |
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178 | λs: PreStatus M. |
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179 | λb: Byte. |
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180 | let old_code_memory ≝ code_memory ? s in |
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181 | let old_low_internal_ram ≝ low_internal_ram ? s in |
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182 | let old_high_internal_ram ≝ high_internal_ram ? s in |
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183 | let old_external_ram ≝ external_ram ? s in |
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184 | let old_program_counter ≝ program_counter ? s in |
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185 | let old_special_function_registers_8051 ≝ special_function_registers_8051 ? s in |
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186 | let old_special_function_registers_8052 ≝ special_function_registers_8052 ? s in |
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187 | let old_p1_latch ≝ p1_latch ? s in |
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188 | let old_clock ≝ clock ? s in |
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189 | mk_PreStatus M old_code_memory |
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190 | old_low_internal_ram |
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191 | old_high_internal_ram |
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192 | old_external_ram |
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193 | old_program_counter |
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194 | old_special_function_registers_8051 |
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195 | old_special_function_registers_8052 |
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196 | old_p1_latch |
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197 | b |
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198 | old_clock. |
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199 | |
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200 | definition get_8051_sfr ≝ |
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201 | λM: Type[0]. |
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202 | λs: PreStatus M. |
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203 | λi: SFR8051. |
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204 | let sfr ≝ special_function_registers_8051 ? s in |
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205 | let index ≝ sfr_8051_index i in |
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206 | get_index_v … sfr index ?. |
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207 | @ sfr8051_index_19 |
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208 | qed. |
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209 | |
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210 | definition get_8052_sfr ≝ |
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211 | λM: Type[0]. |
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212 | λs: PreStatus M. |
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213 | λi: SFR8052. |
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214 | let sfr ≝ special_function_registers_8052 ? s in |
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215 | let index ≝ sfr_8052_index i in |
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216 | get_index_v … sfr index ?. |
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217 | @ sfr8052_index_5 |
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218 | qed. |
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219 | |
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220 | definition set_8051_sfr ≝ |
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221 | λM: Type[0]. |
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222 | λs: PreStatus M. |
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223 | λi: SFR8051. |
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224 | λb: Byte. |
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225 | let index ≝ sfr_8051_index i in |
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226 | let old_code_memory ≝ code_memory ? s in |
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227 | let old_low_internal_ram ≝ low_internal_ram ? s in |
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228 | let old_high_internal_ram ≝ high_internal_ram ? s in |
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229 | let old_external_ram ≝ external_ram ? s in |
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230 | let old_program_counter ≝ program_counter ? s in |
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231 | let old_special_function_registers_8051 ≝ special_function_registers_8051 ? s in |
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232 | let old_special_function_registers_8052 ≝ special_function_registers_8052 ? s in |
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233 | let new_special_function_registers_8051 ≝ |
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234 | set_index Byte 19 old_special_function_registers_8051 index b ? in |
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235 | let old_p1_latch ≝ p1_latch ? s in |
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236 | let old_p3_latch ≝ p3_latch ? s in |
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237 | let old_clock ≝ clock ? s in |
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238 | mk_PreStatus M 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 | old_program_counter |
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243 | new_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 | old_clock. |
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248 | @ (sfr8051_index_19 i) |
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249 | qed. |
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250 | |
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251 | definition set_8052_sfr ≝ |
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252 | λM: Type[0]. |
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253 | λs: PreStatus M. |
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254 | λi: SFR8052. |
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255 | λb: Byte. |
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256 | let index ≝ sfr_8052_index i in |
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257 | let old_code_memory ≝ code_memory ? s in |
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258 | let old_low_internal_ram ≝ low_internal_ram ? s in |
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259 | let old_high_internal_ram ≝ high_internal_ram ? s in |
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260 | let old_external_ram ≝ external_ram ? s in |
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261 | let old_program_counter ≝ program_counter ? s in |
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262 | let old_special_function_registers_8051 ≝ special_function_registers_8051 ? s in |
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263 | let old_special_function_registers_8052 ≝ special_function_registers_8052 ? s in |
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264 | let new_special_function_registers_8052 ≝ |
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265 | set_index Byte 5 old_special_function_registers_8052 index b ? in |
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266 | let old_p1_latch ≝ p1_latch ? s in |
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267 | let old_p3_latch ≝ p3_latch ? s in |
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268 | let old_clock ≝ clock ? s in |
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269 | mk_PreStatus M old_code_memory |
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270 | old_low_internal_ram |
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271 | old_high_internal_ram |
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272 | old_external_ram |
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273 | old_program_counter |
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274 | old_special_function_registers_8051 |
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275 | new_special_function_registers_8052 |
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276 | old_p1_latch |
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277 | old_p3_latch |
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278 | old_clock. |
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279 | @ (sfr8052_index_5 i) |
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280 | qed. |
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281 | |
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282 | definition set_program_counter ≝ |
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283 | λM: Type[0]. |
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284 | λs: PreStatus M. |
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285 | λw: Word. |
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286 | let old_code_memory ≝ code_memory ? s in |
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287 | let old_low_internal_ram ≝ low_internal_ram ? s in |
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288 | let old_high_internal_ram ≝ high_internal_ram ? s in |
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289 | let old_external_ram ≝ external_ram ? s in |
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290 | let old_special_function_registers_8051 ≝ special_function_registers_8051 ? s in |
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291 | let old_special_function_registers_8052 ≝ special_function_registers_8052 ? s in |
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292 | let old_p1_latch ≝ p1_latch ? s in |
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293 | let old_p3_latch ≝ p3_latch ? s in |
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294 | let old_clock ≝ clock ? s in |
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295 | mk_PreStatus M old_code_memory |
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296 | old_low_internal_ram |
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297 | old_high_internal_ram |
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298 | old_external_ram |
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299 | w |
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300 | old_special_function_registers_8051 |
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301 | old_special_function_registers_8052 |
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302 | old_p1_latch |
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303 | old_p3_latch |
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304 | old_clock. |
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305 | |
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306 | definition set_code_memory ≝ |
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307 | λM: Type[0]. |
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308 | λs: PreStatus M. |
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309 | λr: M. |
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310 | let old_low_internal_ram ≝ low_internal_ram ? s in |
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311 | let old_high_internal_ram ≝ high_internal_ram ? s in |
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312 | let old_external_ram ≝ external_ram ? s in |
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313 | let old_program_counter ≝ program_counter ? s in |
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314 | let old_special_function_registers_8051 ≝ special_function_registers_8051 ? s in |
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315 | let old_special_function_registers_8052 ≝ special_function_registers_8052 ? s in |
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316 | let old_p1_latch ≝ p1_latch ? s in |
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317 | let old_p3_latch ≝ p3_latch ? s in |
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318 | let old_clock ≝ clock ? s in |
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319 | mk_PreStatus M r |
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320 | old_low_internal_ram |
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321 | old_high_internal_ram |
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322 | old_external_ram |
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323 | old_program_counter |
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324 | old_special_function_registers_8051 |
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325 | old_special_function_registers_8052 |
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326 | old_p1_latch |
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327 | old_p3_latch |
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328 | old_clock. |
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329 | |
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330 | definition set_low_internal_ram ≝ |
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331 | λM: Type[0]. |
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332 | λs: PreStatus M. |
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333 | λr: BitVectorTrie Byte 7. |
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334 | let old_code_memory ≝ code_memory ? s in |
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335 | let old_high_internal_ram ≝ high_internal_ram ? s in |
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336 | let old_external_ram ≝ external_ram ? s in |
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337 | let old_program_counter ≝ program_counter ? s in |
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338 | let old_special_function_registers_8051 ≝ special_function_registers_8051 ? s in |
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339 | let old_special_function_registers_8052 ≝ special_function_registers_8052 ? s in |
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340 | let old_p1_latch ≝ p1_latch ? s in |
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341 | let old_p3_latch ≝ p3_latch ? s in |
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342 | let old_clock ≝ clock ? s in |
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343 | mk_PreStatus M old_code_memory |
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344 | r |
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345 | old_high_internal_ram |
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346 | old_external_ram |
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347 | old_program_counter |
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348 | old_special_function_registers_8051 |
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349 | old_special_function_registers_8052 |
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350 | old_p1_latch |
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351 | old_p3_latch |
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352 | old_clock. |
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353 | |
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354 | definition set_high_internal_ram ≝ |
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355 | λM: Type[0]. |
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356 | λs: PreStatus M. |
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357 | λr: BitVectorTrie Byte 7. |
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358 | let old_code_memory ≝ code_memory ? s in |
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359 | let old_low_internal_ram ≝ low_internal_ram ? s in |
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360 | let old_high_internal_ram ≝ high_internal_ram ? s in |
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361 | let old_external_ram ≝ external_ram ? s in |
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362 | let old_program_counter ≝ program_counter ? s in |
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363 | let old_special_function_registers_8051 ≝ special_function_registers_8051 ? s in |
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364 | let old_special_function_registers_8052 ≝ special_function_registers_8052 ? s in |
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365 | let old_p1_latch ≝ p1_latch ? s in |
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366 | let old_p3_latch ≝ p3_latch ? s in |
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367 | let old_clock ≝ clock ? s in |
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368 | mk_PreStatus M old_code_memory |
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369 | old_low_internal_ram |
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370 | r |
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371 | old_external_ram |
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372 | old_program_counter |
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373 | old_special_function_registers_8051 |
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374 | old_special_function_registers_8052 |
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375 | old_p1_latch |
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376 | old_p3_latch |
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377 | old_clock. |
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378 | |
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379 | definition set_external_ram ≝ |
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380 | λM: Type[0]. |
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381 | λs: PreStatus M. |
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382 | λr: BitVectorTrie Byte 16. |
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383 | let old_code_memory ≝ code_memory ? s in |
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384 | let old_low_internal_ram ≝ low_internal_ram ? s in |
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385 | let old_high_internal_ram ≝ high_internal_ram ? s in |
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386 | let old_program_counter ≝ program_counter ? s in |
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387 | let old_special_function_registers_8051 ≝ special_function_registers_8051 ? s in |
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388 | let old_special_function_registers_8052 ≝ special_function_registers_8052 ? s in |
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389 | let old_p1_latch ≝ p1_latch ? s in |
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390 | let old_p3_latch ≝ p3_latch ? s in |
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391 | let old_clock ≝ clock ? s in |
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392 | mk_PreStatus M old_code_memory |
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393 | old_low_internal_ram |
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394 | old_high_internal_ram |
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395 | r |
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396 | old_program_counter |
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397 | old_special_function_registers_8051 |
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398 | old_special_function_registers_8052 |
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399 | old_p1_latch |
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400 | old_p3_latch |
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401 | old_clock. |
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402 | |
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403 | definition get_cy_flag ≝ |
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404 | λM: Type[0]. |
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405 | λs: PreStatus M. |
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406 | let sfr ≝ special_function_registers_8051 ? s in |
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407 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
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408 | get_index_v bool 8 psw O ?. |
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409 | normalize |
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410 | @ (le_S_S ? ?) |
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411 | [ @ le_O_n |
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412 | | repeat (@ (le_S_S)); |
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413 | // |
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414 | ] |
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415 | qed. |
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416 | |
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417 | definition get_ac_flag ≝ |
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418 | λM: Type[0]. |
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419 | λs: PreStatus M. |
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420 | let sfr ≝ special_function_registers_8051 ? s in |
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421 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
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422 | get_index_v bool 8 psw (S O) ?. |
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423 | normalize |
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424 | repeat (@ (le_S_S ? ?)) |
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425 | @ le_O_n |
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426 | qed. |
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427 | |
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428 | definition get_fo_flag ≝ |
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429 | λM: Type[0]. |
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430 | λs: PreStatus M. |
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431 | let sfr ≝ special_function_registers_8051 ? s in |
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432 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
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433 | get_index_v bool 8 psw 2 ?. |
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434 | normalize |
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435 | repeat (@ (le_S_S ? ?)) |
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436 | @ le_O_n |
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437 | qed. |
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438 | |
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439 | definition get_rs1_flag ≝ |
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440 | λM: Type[0]. |
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441 | λs: PreStatus M. |
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442 | let sfr ≝ special_function_registers_8051 ? s in |
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443 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
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444 | get_index_v bool 8 psw 3 ?. |
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445 | normalize |
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446 | repeat (@ (le_S_S ? ?)) |
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447 | @ le_O_n |
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448 | qed. |
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449 | |
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450 | definition get_rs0_flag ≝ |
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451 | λM: Type[0]. |
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452 | λs: PreStatus M. |
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453 | let sfr ≝ special_function_registers_8051 ? s in |
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454 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
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455 | get_index_v bool 8 psw 4 ?. |
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456 | normalize |
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457 | repeat (@ (le_S_S ? ?)) |
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458 | @ le_O_n |
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459 | qed. |
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460 | |
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461 | definition get_ov_flag ≝ |
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462 | λM: Type[0]. |
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463 | λs: PreStatus M. |
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464 | let sfr ≝ special_function_registers_8051 ? s in |
---|
465 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
---|
466 | get_index_v bool 8 psw 5 ?. |
---|
467 | normalize |
---|
468 | repeat (@ (le_S_S ? ?)) |
---|
469 | @ le_O_n |
---|
470 | qed. |
---|
471 | |
---|
472 | definition get_ud_flag ≝ |
---|
473 | λM: Type[0]. |
---|
474 | λs: PreStatus M. |
---|
475 | let sfr ≝ special_function_registers_8051 ? s in |
---|
476 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
---|
477 | get_index_v bool 8 psw 6 ?. |
---|
478 | normalize |
---|
479 | repeat (@ (le_S_S ? ?)) |
---|
480 | @ le_O_n |
---|
481 | qed. |
---|
482 | |
---|
483 | definition get_p_flag ≝ |
---|
484 | λM: Type[0]. |
---|
485 | λs: PreStatus M. |
---|
486 | let sfr ≝ special_function_registers_8051 ? s in |
---|
487 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
---|
488 | get_index_v bool 8 psw 7 ?. |
---|
489 | normalize |
---|
490 | repeat (@ (le_S_S ? ?)) |
---|
491 | @ le_O_n |
---|
492 | qed. |
---|
493 | |
---|
494 | definition set_flags ≝ |
---|
495 | λM: Type[0]. |
---|
496 | λs: PreStatus M. |
---|
497 | λcy: Bit. |
---|
498 | λac: option Bit. |
---|
499 | λov: Bit. |
---|
500 | let 〈 nu, nl 〉 ≝ split … 4 4 (get_8051_sfr ? s SFR_PSW) in |
---|
501 | let old_cy ≝ get_index_v… nu O ? in |
---|
502 | let old_ac ≝ get_index_v… nu 1 ? in |
---|
503 | let old_fo ≝ get_index_v… nu 2 ? in |
---|
504 | let old_rs1 ≝ get_index_v… nu 3 ? in |
---|
505 | let old_rs0 ≝ get_index_v… nl O ? in |
---|
506 | let old_ov ≝ get_index_v… nl 1 ? in |
---|
507 | let old_ud ≝ get_index_v… nl 2 ? in |
---|
508 | let old_p ≝ get_index_v… nl 3 ? in |
---|
509 | let new_ac ≝ match ac with [ None ⇒ old_ac | Some j ⇒ j ] in |
---|
510 | let new_psw ≝ [[ old_cy ; new_ac ; old_fo ; old_rs1 ; |
---|
511 | old_rs0 ; old_ov ; old_ud ; old_p ]] in |
---|
512 | set_8051_sfr ? s SFR_PSW new_psw. |
---|
513 | [1,2,3,4,5,6,7,8: |
---|
514 | normalize |
---|
515 | repeat (@ le_S_S) |
---|
516 | @ le_O_n |
---|
517 | ] |
---|
518 | qed. |
---|
519 | |
---|
520 | definition initialise_status ≝ |
---|
521 | λM: Type[0]. |
---|
522 | λcode_mem: M. |
---|
523 | let status ≝ mk_PreStatus M code_mem (* Code mem. *) |
---|
524 | (Stub Byte 7) (* Low mem. *) |
---|
525 | (Stub Byte 7) (* High mem. *) |
---|
526 | (Stub Byte 16) (* Ext mem. *) |
---|
527 | (zero 16) (* PC. *) |
---|
528 | (replicate Byte 19 (zero 8)) (* 8051 SFR. *) |
---|
529 | (replicate Byte 5 (zero 8)) (* 8052 SFR. *) |
---|
530 | (zero 8) (* P1 latch. *) |
---|
531 | (zero 8) (* P3 latch. *) |
---|
532 | O (* Clock. *) |
---|
533 | in |
---|
534 | set_8051_sfr ? status SFR_SP (bitvector_of_nat 8 7). |
---|
535 | |
---|
536 | axiom not_implemented: False. |
---|
537 | |
---|
538 | definition get_bit_addressable_sfr ≝ |
---|
539 | λM: Type[0]. |
---|
540 | λs: PreStatus M. |
---|
541 | λn: nat. |
---|
542 | λb: BitVector n. |
---|
543 | λl: bool. |
---|
544 | let address ≝ nat_of_bitvector … b in |
---|
545 | if (eqb address 128) then |
---|
546 | ? |
---|
547 | else if (eqb address 144) then |
---|
548 | if l then |
---|
549 | (p1_latch ? s) |
---|
550 | else |
---|
551 | (get_8051_sfr ? s SFR_P1) |
---|
552 | else if (eqb address 160) then |
---|
553 | ? |
---|
554 | else if (eqb address 176) then |
---|
555 | if l then |
---|
556 | (p3_latch ? s) |
---|
557 | else |
---|
558 | (get_8051_sfr ? s SFR_P3) |
---|
559 | else if (eqb address 153) then |
---|
560 | get_8051_sfr ? s SFR_SBUF |
---|
561 | else if (eqb address 138) then |
---|
562 | get_8051_sfr ? s SFR_TL0 |
---|
563 | else if (eqb address 139) then |
---|
564 | get_8051_sfr ? s SFR_TL1 |
---|
565 | else if (eqb address 140) then |
---|
566 | get_8051_sfr ? s SFR_TH0 |
---|
567 | else if (eqb address 141) then |
---|
568 | get_8051_sfr ? s SFR_TH1 |
---|
569 | else if (eqb address 200) then |
---|
570 | get_8052_sfr ? s SFR_T2CON |
---|
571 | else if (eqb address 202) then |
---|
572 | get_8052_sfr ? s SFR_RCAP2L |
---|
573 | else if (eqb address 203) then |
---|
574 | get_8052_sfr ? s SFR_RCAP2H |
---|
575 | else if (eqb address 204) then |
---|
576 | get_8052_sfr ? s SFR_TL2 |
---|
577 | else if (eqb address 205) then |
---|
578 | get_8052_sfr ? s SFR_TH2 |
---|
579 | else if (eqb address 135) then |
---|
580 | get_8051_sfr ? s SFR_PCON |
---|
581 | else if (eqb address 136) then |
---|
582 | get_8051_sfr ? s SFR_TCON |
---|
583 | else if (eqb address 137) then |
---|
584 | get_8051_sfr ? s SFR_TMOD |
---|
585 | else if (eqb address 152) then |
---|
586 | get_8051_sfr ? s SFR_SCON |
---|
587 | else if (eqb address 168) then |
---|
588 | get_8051_sfr ? s SFR_IE |
---|
589 | else if (eqb address 184) then |
---|
590 | get_8051_sfr ? s SFR_IP |
---|
591 | else if (eqb address 129) then |
---|
592 | get_8051_sfr ? s SFR_SP |
---|
593 | else if (eqb address 130) then |
---|
594 | get_8051_sfr ? s SFR_DPL |
---|
595 | else if (eqb address 131) then |
---|
596 | get_8051_sfr ? s SFR_DPH |
---|
597 | else if (eqb address 208) then |
---|
598 | get_8051_sfr ? s SFR_PSW |
---|
599 | else if (eqb address 224) then |
---|
600 | get_8051_sfr ? s SFR_ACC_A |
---|
601 | else if (eqb address 240) then |
---|
602 | get_8051_sfr ? s SFR_ACC_B |
---|
603 | else |
---|
604 | ?. |
---|
605 | cases not_implemented |
---|
606 | qed. |
---|
607 | |
---|
608 | definition set_bit_addressable_sfr ≝ |
---|
609 | λM: Type[0]. |
---|
610 | λs: PreStatus M. |
---|
611 | λb: Byte. |
---|
612 | λv: Byte. |
---|
613 | let address ≝ nat_of_bitvector … b in |
---|
614 | if (eqb address 128) then |
---|
615 | ? |
---|
616 | else if (eqb address 144) then |
---|
617 | let status_1 ≝ set_8051_sfr ? s SFR_P1 v in |
---|
618 | let status_2 ≝ set_p1_latch ? s v in |
---|
619 | status_2 |
---|
620 | else if (eqb address 160) then |
---|
621 | ? |
---|
622 | else if (eqb address 176) then |
---|
623 | let status_1 ≝ set_8051_sfr ? s SFR_P3 v in |
---|
624 | let status_2 ≝ set_p3_latch ? s v in |
---|
625 | status_2 |
---|
626 | else if (eqb address 153) then |
---|
627 | set_8051_sfr ? s SFR_SBUF v |
---|
628 | else if (eqb address 138) then |
---|
629 | set_8051_sfr ? s SFR_TL0 v |
---|
630 | else if (eqb address 139) then |
---|
631 | set_8051_sfr ? s SFR_TL1 v |
---|
632 | else if (eqb address 140) then |
---|
633 | set_8051_sfr ? s SFR_TH0 v |
---|
634 | else if (eqb address 141) then |
---|
635 | set_8051_sfr ? s SFR_TH1 v |
---|
636 | else if (eqb address 200) then |
---|
637 | set_8052_sfr ? s SFR_T2CON v |
---|
638 | else if (eqb address 202) then |
---|
639 | set_8052_sfr ? s SFR_RCAP2L v |
---|
640 | else if (eqb address 203) then |
---|
641 | set_8052_sfr ? s SFR_RCAP2H v |
---|
642 | else if (eqb address 204) then |
---|
643 | set_8052_sfr ? s SFR_TL2 v |
---|
644 | else if (eqb address 205) then |
---|
645 | set_8052_sfr ? s SFR_TH2 v |
---|
646 | else if (eqb address 135) then |
---|
647 | set_8051_sfr ? s SFR_PCON v |
---|
648 | else if (eqb address 136) then |
---|
649 | set_8051_sfr ? s SFR_TCON v |
---|
650 | else if (eqb address 137) then |
---|
651 | set_8051_sfr ? s SFR_TMOD v |
---|
652 | else if (eqb address 152) then |
---|
653 | set_8051_sfr ? s SFR_SCON v |
---|
654 | else if (eqb address 168) then |
---|
655 | set_8051_sfr ? s SFR_IE v |
---|
656 | else if (eqb address 184) then |
---|
657 | set_8051_sfr ? s SFR_IP v |
---|
658 | else if (eqb address 129) then |
---|
659 | set_8051_sfr ? s SFR_SP v |
---|
660 | else if (eqb address 130) then |
---|
661 | set_8051_sfr ? s SFR_DPL v |
---|
662 | else if (eqb address 131) then |
---|
663 | set_8051_sfr ? s SFR_DPH v |
---|
664 | else if (eqb address 208) then |
---|
665 | set_8051_sfr ? s SFR_PSW v |
---|
666 | else if (eqb address 224) then |
---|
667 | set_8051_sfr ? s SFR_ACC_A v |
---|
668 | else if (eqb address 240) then |
---|
669 | set_8051_sfr ? s SFR_ACC_B v |
---|
670 | else |
---|
671 | ?. |
---|
672 | cases not_implemented |
---|
673 | qed. |
---|
674 | |
---|
675 | definition bit_address_of_register ≝ |
---|
676 | λM: Type[0]. |
---|
677 | λs: PreStatus M. |
---|
678 | λr: BitVector 3. |
---|
679 | let b ≝ get_index_v … r O ? in |
---|
680 | let c ≝ get_index_v … r 1 ? in |
---|
681 | let d ≝ get_index_v … r 2 ? in |
---|
682 | let 〈 un, ln 〉 ≝ split ? 4 4 (get_8051_sfr ? s SFR_PSW) in |
---|
683 | let 〈 r1, r0 〉 ≝ 〈 get_index_v … 4 un 2 ?, get_index_v … 4 un 3 ? 〉 in |
---|
684 | let offset ≝ |
---|
685 | if ¬r1 ∧ ¬r0 then |
---|
686 | O |
---|
687 | else if ¬r1 ∧ r0 then |
---|
688 | 8 |
---|
689 | else if r1 ∧ r0 then |
---|
690 | 24 |
---|
691 | else |
---|
692 | 16 |
---|
693 | in |
---|
694 | bitvector_of_nat 7 (offset + (nat_of_bitvector ? [[ false ; b ; c ; d ]])). |
---|
695 | [1,2,3,4,5: |
---|
696 | normalize |
---|
697 | repeat (@ le_S_S) |
---|
698 | @ le_O_n; |
---|
699 | ] |
---|
700 | qed. |
---|
701 | |
---|
702 | definition get_register ≝ |
---|
703 | λM: Type[0]. |
---|
704 | λs: PreStatus M. |
---|
705 | λr: BitVector 3. |
---|
706 | let address ≝ bit_address_of_register ? s r in |
---|
707 | lookup … address (low_internal_ram ? s) (zero 8). |
---|
708 | |
---|
709 | definition set_register ≝ |
---|
710 | λM: Type[0]. |
---|
711 | λs: PreStatus M. |
---|
712 | λr: BitVector 3. |
---|
713 | λv: Byte. |
---|
714 | let address ≝ bit_address_of_register ? s r in |
---|
715 | let old_low_internal_ram ≝ low_internal_ram ? s in |
---|
716 | let new_low_internal_ram ≝ insert … address v old_low_internal_ram in |
---|
717 | set_low_internal_ram ? s new_low_internal_ram. |
---|
718 | |
---|
719 | definition read_at_stack_pointer ≝ |
---|
720 | λM: Type[0]. |
---|
721 | λs: PreStatus M. |
---|
722 | let 〈 nu, nl 〉 ≝ split … 4 4 (get_8051_sfr ? s SFR_SP) in |
---|
723 | let m ≝ get_index_v … nu O ? in |
---|
724 | let r1 ≝ get_index_v … nu 1 ? in |
---|
725 | let r2 ≝ get_index_v … nu 2 ? in |
---|
726 | let r3 ≝ get_index_v … nu 3 ? in |
---|
727 | let address ≝ [[ r1 ; r2 ; r3 ]] @@ nl in |
---|
728 | let memory ≝ |
---|
729 | if m then |
---|
730 | (low_internal_ram ? s) |
---|
731 | else |
---|
732 | (high_internal_ram ? s) |
---|
733 | in |
---|
734 | lookup … address memory (zero 8). |
---|
735 | [1,2,3,4: |
---|
736 | normalize |
---|
737 | repeat (@ le_S_S) |
---|
738 | @ le_O_n |
---|
739 | ] |
---|
740 | qed. |
---|
741 | |
---|
742 | definition write_at_stack_pointer ≝ |
---|
743 | λM: Type[0]. |
---|
744 | λs: PreStatus M. |
---|
745 | λv: Byte. |
---|
746 | let 〈 nu, nl 〉 ≝ split … 4 4 (get_8051_sfr ? s SFR_SP) in |
---|
747 | let bit_zero ≝ get_index_v… nu O ? in |
---|
748 | let bit_1 ≝ get_index_v… nu 1 ? in |
---|
749 | let bit_2 ≝ get_index_v… nu 2 ? in |
---|
750 | let bit_3 ≝ get_index_v… nu 3 ? in |
---|
751 | if bit_zero then |
---|
752 | let memory ≝ insert … ([[ bit_1 ; bit_2 ; bit_3 ]] @@ nl) |
---|
753 | v (low_internal_ram ? s) in |
---|
754 | set_low_internal_ram ? s memory |
---|
755 | else |
---|
756 | let memory ≝ insert … ([[ bit_1 ; bit_2 ; bit_3 ]] @@ nl) |
---|
757 | v (high_internal_ram ? s) in |
---|
758 | set_high_internal_ram ? s memory. |
---|
759 | [1,2,3,4: |
---|
760 | normalize |
---|
761 | repeat (@ le_S_S) |
---|
762 | @ le_O_n |
---|
763 | ] |
---|
764 | qed. |
---|
765 | |
---|
766 | definition set_arg_16: ∀M: Type[0]. PreStatus M → Word → [[ dptr ]] → PreStatus M ≝ |
---|
767 | λM. |
---|
768 | λs. |
---|
769 | λv. |
---|
770 | λa. |
---|
771 | match a return λx. bool_to_Prop (is_in ? [[ dptr ]] x) → ? with |
---|
772 | [ DPTR ⇒ λ_:True. |
---|
773 | let 〈 bu, bl 〉 ≝ split … 8 8 v in |
---|
774 | let status ≝ set_8051_sfr ? s SFR_DPH bu in |
---|
775 | let status ≝ set_8051_sfr ? status SFR_DPL bl in |
---|
776 | status |
---|
777 | | _ ⇒ λK. |
---|
778 | match K in False with |
---|
779 | [ |
---|
780 | ] |
---|
781 | ] (subaddressing_modein … a). |
---|
782 | |
---|
783 | definition get_arg_16: ∀M: Type[0]. PreStatus M → [[ data16 ]] → Word ≝ |
---|
784 | λm, s, a. |
---|
785 | match a return λx. bool_to_Prop (is_in ? [[ data16 ]] x) → ? with |
---|
786 | [ DATA16 d ⇒ λ_:True. d |
---|
787 | | _ ⇒ λK. |
---|
788 | match K in False with |
---|
789 | [ |
---|
790 | ] |
---|
791 | ] (subaddressing_modein … a). |
---|
792 | |
---|
793 | definition get_arg_8: ∀M: Type[0]. PreStatus M → bool → [[ direct ; indirect ; registr ; |
---|
794 | acc_a ; acc_b ; data ; acc_dptr ; |
---|
795 | acc_pc ; ext_indirect ; |
---|
796 | ext_indirect_dptr ]] → Byte ≝ |
---|
797 | λm, s, l, a. |
---|
798 | match a return λx. bool_to_Prop (is_in ? [[ direct ; indirect ; registr ; |
---|
799 | acc_a ; acc_b ; data ; acc_dptr ; |
---|
800 | acc_pc ; ext_indirect ; |
---|
801 | ext_indirect_dptr ]] x) → ? with |
---|
802 | [ ACC_A ⇒ λacc_a: True. get_8051_sfr ? s SFR_ACC_A |
---|
803 | | ACC_B ⇒ λacc_b: True. get_8051_sfr ? s SFR_ACC_B |
---|
804 | | DATA d ⇒ λdata: True. d |
---|
805 | | REGISTER r ⇒ λregister: True. get_register ? s r |
---|
806 | | EXT_INDIRECT_DPTR ⇒ |
---|
807 | λext_indirect_dptr: True. |
---|
808 | let address ≝ (get_8051_sfr ? s SFR_DPH) @@ (get_8051_sfr ? s SFR_DPL) in |
---|
809 | lookup … 16 address (external_ram ? s) (zero 8) |
---|
810 | | EXT_INDIRECT e ⇒ |
---|
811 | λext_indirect: True. |
---|
812 | let address ≝ get_register ? s [[ false; false; e ]] in |
---|
813 | let padded_address ≝ pad 8 8 address in |
---|
814 | lookup … 16 padded_address (external_ram ? s) (zero 8) |
---|
815 | | ACC_DPTR ⇒ |
---|
816 | λacc_dptr: True. |
---|
817 | let dptr ≝ (get_8051_sfr ? s SFR_DPH) @@ (get_8051_sfr ? s SFR_DPL) in |
---|
818 | let padded_acc ≝ pad 8 8 (get_8051_sfr ? s SFR_ACC_A) in |
---|
819 | let 〈 carry, address 〉 ≝ half_add 16 dptr padded_acc in |
---|
820 | lookup … 16 address (external_ram ? s) (zero 8) |
---|
821 | | ACC_PC ⇒ |
---|
822 | λacc_pc: True. |
---|
823 | let padded_acc ≝ pad 8 8 (get_8051_sfr ? s SFR_ACC_A) in |
---|
824 | let 〈 carry, address 〉 ≝ half_add 16 (program_counter ? s) padded_acc in |
---|
825 | lookup … 16 address (external_ram ? s) (zero 8) |
---|
826 | | DIRECT d ⇒ |
---|
827 | λdirect: True. |
---|
828 | let 〈 nu, nl 〉 ≝ split … 4 4 d in |
---|
829 | let bit_1 ≝ get_index_v … nu 1 ? in |
---|
830 | match bit_1 with |
---|
831 | [ true ⇒ |
---|
832 | let 〈 bit_one, three_bits 〉 ≝ split ? 1 3 nu in |
---|
833 | let address ≝ three_bits @@ nl in |
---|
834 | lookup ? 7 address (low_internal_ram ? s) (zero 8) |
---|
835 | | false ⇒ get_bit_addressable_sfr ? s 8 d l |
---|
836 | ] |
---|
837 | | INDIRECT i ⇒ |
---|
838 | λindirect: True. |
---|
839 | let 〈 nu, nl 〉 ≝ split ? 4 4 (get_register ? s [[ false; false; i]]) in |
---|
840 | let 〈 bit_one_v, three_bits 〉 ≝ split ? 1 3 nu in |
---|
841 | let bit_1 ≝ get_index_v … bit_one_v O ? in |
---|
842 | match bit_1 with |
---|
843 | [ true ⇒ |
---|
844 | lookup ? 7 (three_bits @@ nl) (low_internal_ram ? s) (zero 8) |
---|
845 | | false ⇒ |
---|
846 | lookup ? 7 (three_bits @@ nl) (high_internal_ram ? s) (zero 8) |
---|
847 | ] |
---|
848 | | _ ⇒ λother. |
---|
849 | match other in False with [ ] |
---|
850 | ] (subaddressing_modein … a). |
---|
851 | [1,2: |
---|
852 | normalize |
---|
853 | repeat (@ le_S_S) |
---|
854 | @ le_O_n |
---|
855 | ] |
---|
856 | qed. |
---|
857 | |
---|
858 | definition set_arg_8: ∀M: Type[0]. PreStatus M → [[ direct ; indirect ; registr ; |
---|
859 | acc_a ; acc_b ; ext_indirect ; |
---|
860 | ext_indirect_dptr ]] → Byte → PreStatus M ≝ |
---|
861 | λm, s, a, v. |
---|
862 | match a return λx. bool_to_Prop (is_in ? [[ direct ; indirect ; registr ; |
---|
863 | acc_a ; acc_b ; ext_indirect ; |
---|
864 | ext_indirect_dptr ]] x) → ? with |
---|
865 | [ DIRECT d ⇒ |
---|
866 | λdirect: True. |
---|
867 | let 〈 nu, nl 〉 ≝ split … 4 4 d in |
---|
868 | let bit_1 ≝ get_index_v … nu 1 ? in |
---|
869 | let 〈 ignore, three_bits 〉 ≝ split ? 1 3 nu in |
---|
870 | match bit_1 with |
---|
871 | [ true ⇒ set_bit_addressable_sfr ? s d v |
---|
872 | | false ⇒ |
---|
873 | let memory ≝ insert ? 7 (three_bits @@ nl) v (low_internal_ram ? s) in |
---|
874 | set_low_internal_ram ? s memory |
---|
875 | ] |
---|
876 | | INDIRECT i ⇒ |
---|
877 | λindirect: True. |
---|
878 | let register ≝ get_register ? s [[ false; false; i ]] in |
---|
879 | let 〈nu, nl〉 ≝ split ? 4 4 register in |
---|
880 | let bit_1 ≝ get_index_v … nu 1 ? in |
---|
881 | let 〈ignore, three_bits〉 ≝ split ? 1 3 nu in |
---|
882 | match bit_1 with |
---|
883 | [ true ⇒ |
---|
884 | let memory ≝ insert … (three_bits @@ nl) v (low_internal_ram ? s) in |
---|
885 | set_low_internal_ram ? s memory |
---|
886 | | false ⇒ |
---|
887 | let memory ≝ insert … (three_bits @@ nl) v (high_internal_ram ? s) in |
---|
888 | set_high_internal_ram ? s memory |
---|
889 | ] |
---|
890 | | REGISTER r ⇒ λregister: True. set_register ? s r v |
---|
891 | | ACC_A ⇒ λacc_a: True. set_8051_sfr ? s SFR_ACC_A v |
---|
892 | | ACC_B ⇒ λacc_b: True. set_8051_sfr ? s SFR_ACC_B v |
---|
893 | | EXT_INDIRECT e ⇒ |
---|
894 | λext_indirect: True. |
---|
895 | let address ≝ get_register ? s [[ false; false; e ]] in |
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896 | let padded_address ≝ pad 8 8 address in |
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897 | let memory ≝ insert ? 16 padded_address v (external_ram ? s) in |
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898 | set_external_ram ? s memory |
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899 | | EXT_INDIRECT_DPTR ⇒ |
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900 | λext_indirect_dptr: True. |
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901 | let address ≝ (get_8051_sfr ? s SFR_DPH) @@ (get_8051_sfr ? s SFR_DPL) in |
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902 | let memory ≝ insert ? 16 address v (external_ram ? s) in |
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903 | set_external_ram ? s memory |
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904 | | _ ⇒ |
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905 | λother: False. |
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906 | match other in False with [ ] |
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907 | ] (subaddressing_modein … a). |
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908 | [1,2,3,4: |
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909 | normalize |
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910 | repeat (@ le_S_S) |
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911 | @ le_O_n |
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912 | ] |
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913 | qed. |
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914 | |
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915 | theorem modulus_less_than: |
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916 | ∀m,n: nat. (m mod (S n)) < S n. |
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917 | #n #m |
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918 | normalize |
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919 | @ le_S_S |
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920 | lapply (le_n n) |
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921 | generalize in ⊢ (?%? → ?(??%?)?) |
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922 | elim n in ⊢ (∀_:?. ??% → ?(?%??)?) |
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923 | [ normalize |
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924 | #n |
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925 | @ (less_than_or_equal_b_elim n m) |
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926 | normalize |
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927 | [ // |
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928 | | #H #K |
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929 | inversion K |
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930 | [ # H1 |
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931 | < H1 |
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932 | // |
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933 | | #x #H1 #H2 #H3 |
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934 | destruct |
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935 | ] |
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936 | ] |
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937 | | normalize |
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938 | # y # H1 # n # H2 |
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939 | @ (less_than_or_equal_b_elim n m) |
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940 | normalize |
---|
941 | [ // |
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942 | | # K |
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943 | @ H1 |
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944 | cut (n ≤ S y → n - S m ≤ y) |
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945 | /2/ |
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946 | cases n |
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947 | normalize |
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948 | // |
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949 | # x # K1 |
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950 | lapply (le_S_S_to_le … K1) |
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951 | generalize in match m |
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952 | elim x |
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953 | normalize |
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954 | // |
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955 | # w1 # H # m |
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956 | cases m |
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957 | normalize |
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958 | // |
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959 | # q # K2 |
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960 | apply H |
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961 | /3/ |
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962 | ] |
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963 | ] |
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964 | qed. |
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965 | |
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966 | definition get_arg_1: ∀M: Type[0]. PreStatus M → [[ bit_addr ; n_bit_addr ; carry ]] → |
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967 | bool → bool ≝ |
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968 | λm, s, a, l. |
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969 | match a return λx. bool_to_Prop (is_in ? [[ bit_addr ; |
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970 | n_bit_addr ; |
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971 | carry ]] x) → ? with |
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972 | [ BIT_ADDR b ⇒ |
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973 | λbit_addr: True. |
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974 | let 〈 nu, nl 〉 ≝ split … 4 4 b in |
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975 | let bit_1 ≝ get_index_v … nu 1 ? in |
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976 | let 〈 bit_one_v, three_bits 〉 ≝ split ? 1 3 nu in |
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977 | match bit_1 with |
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978 | [ true ⇒ |
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979 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
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980 | let d ≝ address ÷ 8 in |
---|
981 | let m ≝ address mod 8 in |
---|
982 | let trans ≝ bitvector_of_nat 8 ((d * 8) + 128) in |
---|
983 | let sfr ≝ get_bit_addressable_sfr ? s ? trans l in |
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984 | get_index_v … sfr m ? |
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985 | | false ⇒ |
---|
986 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
---|
987 | let address' ≝ bitvector_of_nat 7 ((address ÷ 8) + 32) in |
---|
988 | let t ≝ lookup … 7 address' (low_internal_ram ? s) (zero 8) in |
---|
989 | get_index_v … t (modulus address 8) ? |
---|
990 | ] |
---|
991 | | N_BIT_ADDR n ⇒ |
---|
992 | λn_bit_addr: True. |
---|
993 | let 〈 nu, nl 〉 ≝ split … 4 4 n in |
---|
994 | let bit_1 ≝ get_index_v … nu 1 ? in |
---|
995 | let 〈 bit_one_v, three_bits 〉 ≝ split ? 1 3 nu in |
---|
996 | match bit_1 with |
---|
997 | [ true ⇒ |
---|
998 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
---|
999 | let d ≝ address ÷ 8 in |
---|
1000 | let m ≝ address mod 8 in |
---|
1001 | let trans ≝ bitvector_of_nat 8 ((d * 8) + 128) in |
---|
1002 | let sfr ≝ get_bit_addressable_sfr ? s ? trans l in |
---|
1003 | ¬(get_index_v … sfr m ?) |
---|
1004 | | false ⇒ |
---|
1005 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
---|
1006 | let address' ≝ bitvector_of_nat 7 ((address ÷ 8) + 32) in |
---|
1007 | let trans ≝ lookup … 7 address' (low_internal_ram ? s) (zero 8) in |
---|
1008 | ¬(get_index_v … trans (modulus address 8) ?) |
---|
1009 | ] |
---|
1010 | | CARRY ⇒ λcarry: True. get_cy_flag ? s |
---|
1011 | | _ ⇒ λother. |
---|
1012 | match other in False with [ ] |
---|
1013 | ] (subaddressing_modein … a). |
---|
1014 | [3,6: |
---|
1015 | normalize |
---|
1016 | repeat (@ le_S_S) |
---|
1017 | @ le_O_n |
---|
1018 | |1,2,4,5: |
---|
1019 | apply modulus_less_than |
---|
1020 | ] |
---|
1021 | qed. |
---|
1022 | |
---|
1023 | definition set_arg_1: ∀M: Type[0]. PreStatus M → [[ bit_addr ; carry ]] → |
---|
1024 | Bit → PreStatus M ≝ |
---|
1025 | λm, s, a, v. |
---|
1026 | match a return λx. bool_to_Prop (is_in ? [[ bit_addr ; carry ]] x) → ? with |
---|
1027 | [ BIT_ADDR b ⇒ λbit_addr: True. |
---|
1028 | let 〈 nu, nl 〉 ≝ split ? 4 4 (get_8051_sfr ? s SFR_PSW) in |
---|
1029 | let bit_1 ≝ get_index_v … nu 1 ? in |
---|
1030 | let 〈 ignore, three_bits 〉 ≝ split ? 1 3 nu in |
---|
1031 | match bit_1 with |
---|
1032 | [ true ⇒ |
---|
1033 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
---|
1034 | let d ≝ address ÷ 8 in |
---|
1035 | let m ≝ address mod 8 in |
---|
1036 | let t ≝ bitvector_of_nat 8 ((d * 8) + 128) in |
---|
1037 | let sfr ≝ get_bit_addressable_sfr ? s ? t true in |
---|
1038 | let new_sfr ≝ set_index … sfr m v ? in |
---|
1039 | set_bit_addressable_sfr ? s new_sfr t |
---|
1040 | | false ⇒ |
---|
1041 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
---|
1042 | let address' ≝ bitvector_of_nat 7 ((address ÷ 8) + 32) in |
---|
1043 | let t ≝ lookup … 7 address' (low_internal_ram ? s) (zero 8) in |
---|
1044 | let n_bit ≝ set_index … t (modulus address 8) v ? in |
---|
1045 | let memory ≝ insert ? 7 address' n_bit (low_internal_ram ? s) in |
---|
1046 | set_low_internal_ram ? s memory |
---|
1047 | ] |
---|
1048 | | CARRY ⇒ |
---|
1049 | λcarry: True. |
---|
1050 | let 〈 nu, nl 〉 ≝ split ? 4 4 (get_8051_sfr ? s SFR_PSW) in |
---|
1051 | let bit_1 ≝ get_index_v… nu 1 ? in |
---|
1052 | let bit_2 ≝ get_index_v… nu 2 ? in |
---|
1053 | let bit_3 ≝ get_index_v… nu 3 ? in |
---|
1054 | let new_psw ≝ [[ v; bit_1 ; bit_2; bit_3 ]] @@ nl in |
---|
1055 | set_8051_sfr ? s SFR_PSW new_psw |
---|
1056 | | _ ⇒ |
---|
1057 | λother: False. |
---|
1058 | match other in False with |
---|
1059 | [ ] |
---|
1060 | ] (subaddressing_modein … a). |
---|
1061 | [1,2,3,6: |
---|
1062 | normalize |
---|
1063 | repeat (@ le_S_S) |
---|
1064 | @ le_O_n |
---|
1065 | |4,5: |
---|
1066 | @ modulus_less_than |
---|
1067 | ] |
---|
1068 | qed. |
---|
1069 | |
---|
1070 | definition load_code_memory ≝ |
---|
1071 | fold_left_i … ( |
---|
1072 | λi, mem, v. |
---|
1073 | insert … (bitvector_of_nat … i) v mem) (Stub Byte 16). |
---|
1074 | |
---|
1075 | definition load ≝ |
---|
1076 | λl. |
---|
1077 | λstatus. |
---|
1078 | set_code_memory ? status (load_code_memory l). |
---|
1079 | |
---|
1080 | definition fetch_pseudo_instruction: list labelled_instruction → Word → (pseudo_instruction × Word) ≝ |
---|
1081 | λcode_mem. |
---|
1082 | λpc: Word. |
---|
1083 | let 〈lbl, instr〉 ≝ nth (nat_of_bitvector ? pc) … code_mem ? in |
---|
1084 | let 〈flags, new_pc〉 ≝ half_add ? pc (bitvector_of_nat ? 1) in |
---|
1085 | 〈instr, new_pc〉. |
---|
1086 | cases not_implemented. |
---|
1087 | qed. |
---|