[475] | 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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[698] | 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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[475] | 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 Status: Type[0] ≝ |
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| 88 | { |
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| 89 | code_memory: BitVectorTrie Byte 16; |
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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 | lemma sfr8051_index_19: |
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| 106 | ∀i: SFR8051. |
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| 107 | sfr_8051_index i < 19. |
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| 108 | # i |
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| 109 | cases i |
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| 110 | normalize |
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| 111 | repeat (@ le_S_S) |
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| 112 | @ le_O_n |
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| 113 | qed. |
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| 114 | |
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| 115 | lemma sfr8052_index_5: |
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| 116 | ∀i: SFR8052. |
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| 117 | sfr_8052_index i < 5. |
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| 118 | # i |
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| 119 | cases i |
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| 120 | normalize |
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| 121 | repeat (@ le_S_S) |
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| 122 | @ le_O_n |
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| 123 | qed. |
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| 124 | |
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| 125 | definition set_clock ≝ |
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| 126 | λs: Status. |
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| 127 | λt: Time. |
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| 128 | let old_code_memory ≝ code_memory s in |
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| 129 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 130 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 131 | let old_external_ram ≝ external_ram s in |
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| 132 | let old_program_counter ≝ program_counter s in |
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| 133 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 134 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 135 | let old_p1_latch ≝ p1_latch s in |
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| 136 | let old_p3_latch ≝ p3_latch s in |
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| 137 | mk_Status old_code_memory |
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| 138 | old_low_internal_ram |
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| 139 | old_high_internal_ram |
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| 140 | old_external_ram |
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| 141 | old_program_counter |
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| 142 | old_special_function_registers_8051 |
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| 143 | old_special_function_registers_8052 |
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| 144 | old_p1_latch |
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| 145 | old_p3_latch |
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| 146 | t. |
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| 147 | |
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| 148 | definition set_p1_latch ≝ |
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| 149 | λs: Status. |
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| 150 | λb: Byte. |
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| 151 | let old_code_memory ≝ code_memory s in |
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| 152 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 153 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 154 | let old_external_ram ≝ external_ram s in |
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| 155 | let old_program_counter ≝ program_counter s in |
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| 156 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 157 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 158 | let old_p3_latch ≝ p3_latch s in |
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| 159 | let old_clock ≝ clock s in |
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| 160 | mk_Status old_code_memory |
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| 161 | old_low_internal_ram |
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| 162 | old_high_internal_ram |
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| 163 | old_external_ram |
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| 164 | old_program_counter |
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| 165 | old_special_function_registers_8051 |
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| 166 | old_special_function_registers_8052 |
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| 167 | b |
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| 168 | old_p3_latch |
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| 169 | old_clock. |
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| 170 | |
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| 171 | definition set_p3_latch ≝ |
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| 172 | λs: Status. |
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| 173 | λb: Byte. |
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| 174 | let old_code_memory ≝ code_memory s in |
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| 175 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 176 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 177 | let old_external_ram ≝ external_ram s in |
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| 178 | let old_program_counter ≝ program_counter s in |
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| 179 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 180 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 181 | let old_p1_latch ≝ p1_latch s in |
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| 182 | let old_clock ≝ clock s in |
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| 183 | mk_Status old_code_memory |
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| 184 | old_low_internal_ram |
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| 185 | old_high_internal_ram |
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| 186 | old_external_ram |
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| 187 | old_program_counter |
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| 188 | old_special_function_registers_8051 |
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| 189 | old_special_function_registers_8052 |
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| 190 | old_p1_latch |
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| 191 | b |
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| 192 | old_clock. |
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| 193 | |
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| 194 | definition get_8051_sfr ≝ |
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| 195 | λs: Status. |
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| 196 | λi: SFR8051. |
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| 197 | let sfr ≝ special_function_registers_8051 s in |
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| 198 | let index ≝ sfr_8051_index i in |
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| 199 | get_index_v … sfr index ?. |
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| 200 | @ sfr8051_index_19 |
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| 201 | qed. |
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| 202 | |
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| 203 | definition get_8052_sfr ≝ |
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| 204 | λs: Status. |
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| 205 | λi: SFR8052. |
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| 206 | let sfr ≝ special_function_registers_8052 s in |
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| 207 | let index ≝ sfr_8052_index i in |
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| 208 | get_index_v … sfr index ?. |
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| 209 | @ sfr8052_index_5 |
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| 210 | qed. |
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| 211 | |
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| 212 | definition set_8051_sfr ≝ |
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| 213 | λs: Status. |
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| 214 | λi: SFR8051. |
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| 215 | λb: Byte. |
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| 216 | let index ≝ sfr_8051_index i in |
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| 217 | let old_code_memory ≝ code_memory s in |
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| 218 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 219 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 220 | let old_external_ram ≝ external_ram s in |
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| 221 | let old_program_counter ≝ program_counter s in |
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| 222 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 223 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 224 | let new_special_function_registers_8051 ≝ |
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| 225 | set_index Byte 19 old_special_function_registers_8051 index b ? in |
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| 226 | let old_p1_latch ≝ p1_latch s in |
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| 227 | let old_p3_latch ≝ p3_latch s in |
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| 228 | let old_clock ≝ clock s in |
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| 229 | mk_Status old_code_memory |
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| 230 | old_low_internal_ram |
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| 231 | old_high_internal_ram |
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| 232 | old_external_ram |
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| 233 | old_program_counter |
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| 234 | new_special_function_registers_8051 |
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| 235 | old_special_function_registers_8052 |
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| 236 | old_p1_latch |
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| 237 | old_p3_latch |
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| 238 | old_clock. |
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| 239 | @ (sfr8051_index_19 i) |
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| 240 | qed. |
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| 241 | |
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| 242 | definition set_8052_sfr ≝ |
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| 243 | λs: Status. |
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| 244 | λi: SFR8052. |
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| 245 | λb: Byte. |
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| 246 | let index ≝ sfr_8052_index i in |
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| 247 | let old_code_memory ≝ code_memory s in |
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| 248 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 249 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 250 | let old_external_ram ≝ external_ram s in |
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| 251 | let old_program_counter ≝ program_counter s in |
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| 252 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 253 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 254 | let new_special_function_registers_8052 ≝ |
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| 255 | set_index Byte 5 old_special_function_registers_8052 index b ? in |
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| 256 | let old_p1_latch ≝ p1_latch s in |
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| 257 | let old_p3_latch ≝ p3_latch s in |
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| 258 | let old_clock ≝ clock s in |
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| 259 | mk_Status old_code_memory |
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| 260 | old_low_internal_ram |
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| 261 | old_high_internal_ram |
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| 262 | old_external_ram |
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| 263 | old_program_counter |
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| 264 | old_special_function_registers_8051 |
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| 265 | new_special_function_registers_8052 |
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| 266 | old_p1_latch |
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| 267 | old_p3_latch |
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| 268 | old_clock. |
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| 269 | @ (sfr8052_index_5 i) |
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| 270 | qed. |
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| 271 | |
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| 272 | definition set_program_counter ≝ |
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| 273 | λs: Status. |
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| 274 | λw: Word. |
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| 275 | let old_code_memory ≝ code_memory s in |
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| 276 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 277 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 278 | let old_external_ram ≝ external_ram s in |
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| 279 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 280 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 281 | let old_p1_latch ≝ p1_latch s in |
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| 282 | let old_p3_latch ≝ p3_latch s in |
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| 283 | let old_clock ≝ clock s in |
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| 284 | mk_Status old_code_memory |
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| 285 | old_low_internal_ram |
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| 286 | old_high_internal_ram |
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| 287 | old_external_ram |
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| 288 | w |
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| 289 | old_special_function_registers_8051 |
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| 290 | old_special_function_registers_8052 |
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| 291 | old_p1_latch |
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| 292 | old_p3_latch |
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| 293 | old_clock. |
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| 294 | |
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| 295 | definition set_code_memory ≝ |
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| 296 | λs: Status. |
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| 297 | λr: BitVectorTrie Byte 16. |
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| 298 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 299 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 300 | let old_external_ram ≝ external_ram s in |
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| 301 | let old_program_counter ≝ program_counter s in |
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| 302 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 303 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 304 | let old_p1_latch ≝ p1_latch s in |
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| 305 | let old_p3_latch ≝ p3_latch s in |
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| 306 | let old_clock ≝ clock s in |
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| 307 | mk_Status r |
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| 308 | old_low_internal_ram |
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| 309 | old_high_internal_ram |
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| 310 | old_external_ram |
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| 311 | old_program_counter |
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| 312 | old_special_function_registers_8051 |
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| 313 | old_special_function_registers_8052 |
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| 314 | old_p1_latch |
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| 315 | old_p3_latch |
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| 316 | old_clock. |
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| 317 | |
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| 318 | definition set_low_internal_ram ≝ |
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| 319 | λs: Status. |
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| 320 | λr: BitVectorTrie Byte 7. |
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| 321 | let old_code_memory ≝ code_memory s in |
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| 322 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 323 | let old_external_ram ≝ external_ram s in |
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| 324 | let old_program_counter ≝ program_counter s in |
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| 325 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 326 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 327 | let old_p1_latch ≝ p1_latch s in |
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| 328 | let old_p3_latch ≝ p3_latch s in |
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| 329 | let old_clock ≝ clock s in |
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| 330 | mk_Status old_code_memory |
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| 331 | r |
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| 332 | old_high_internal_ram |
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| 333 | old_external_ram |
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| 334 | old_program_counter |
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| 335 | old_special_function_registers_8051 |
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| 336 | old_special_function_registers_8052 |
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| 337 | old_p1_latch |
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| 338 | old_p3_latch |
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| 339 | old_clock. |
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| 340 | |
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| 341 | definition set_high_internal_ram ≝ |
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| 342 | λs: Status. |
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| 343 | λr: BitVectorTrie Byte 7. |
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| 344 | let old_code_memory ≝ code_memory s in |
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| 345 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 346 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 347 | let old_external_ram ≝ external_ram s in |
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| 348 | let old_program_counter ≝ program_counter s in |
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| 349 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 350 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 351 | let old_p1_latch ≝ p1_latch s in |
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| 352 | let old_p3_latch ≝ p3_latch s in |
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| 353 | let old_clock ≝ clock s in |
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| 354 | mk_Status old_code_memory |
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| 355 | old_low_internal_ram |
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| 356 | r |
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| 357 | old_external_ram |
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| 358 | old_program_counter |
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| 359 | old_special_function_registers_8051 |
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| 360 | old_special_function_registers_8052 |
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| 361 | old_p1_latch |
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| 362 | old_p3_latch |
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| 363 | old_clock. |
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| 364 | |
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| 365 | definition set_external_ram ≝ |
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| 366 | λs: Status. |
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| 367 | λr: BitVectorTrie Byte 16. |
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| 368 | let old_code_memory ≝ code_memory s in |
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| 369 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 370 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 371 | let old_program_counter ≝ program_counter s in |
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| 372 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 373 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 374 | let old_p1_latch ≝ p1_latch s in |
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| 375 | let old_p3_latch ≝ p3_latch s in |
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| 376 | let old_clock ≝ clock s in |
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| 377 | mk_Status old_code_memory |
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| 378 | old_low_internal_ram |
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| 379 | old_high_internal_ram |
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| 380 | r |
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| 381 | old_program_counter |
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| 382 | old_special_function_registers_8051 |
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| 383 | old_special_function_registers_8052 |
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| 384 | old_p1_latch |
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| 385 | old_p3_latch |
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| 386 | old_clock. |
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| 387 | |
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| 388 | definition get_cy_flag ≝ |
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| 389 | λs: Status. |
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| 390 | let sfr ≝ special_function_registers_8051 s in |
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| 391 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
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| 392 | get_index_v bool 8 psw O ?. |
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| 393 | normalize |
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| 394 | @ (le_S_S ? ?) |
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| 395 | [ @ le_O_n |
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| 396 | | repeat (@ (le_S_S)); |
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| 397 | // |
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| 398 | ] |
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| 399 | qed. |
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| 400 | |
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| 401 | definition get_ac_flag ≝ |
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| 402 | λs: Status. |
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| 403 | let sfr ≝ special_function_registers_8051 s in |
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| 404 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
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| 405 | get_index_v bool 8 psw (S O) ?. |
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| 406 | normalize |
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| 407 | repeat (@ (le_S_S ? ?)) |
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| 408 | @ le_O_n |
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| 409 | qed. |
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| 410 | |
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| 411 | definition get_fo_flag ≝ |
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| 412 | λs: Status. |
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| 413 | let sfr ≝ special_function_registers_8051 s in |
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| 414 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
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| 415 | get_index_v bool 8 psw 2 ?. |
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| 416 | normalize |
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| 417 | repeat (@ (le_S_S ? ?)) |
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| 418 | @ le_O_n |
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| 419 | qed. |
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| 420 | |
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| 421 | definition get_rs1_flag ≝ |
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| 422 | λs: Status. |
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| 423 | let sfr ≝ special_function_registers_8051 s in |
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| 424 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
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| 425 | get_index_v bool 8 psw 3 ?. |
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| 426 | normalize |
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| 427 | repeat (@ (le_S_S ? ?)) |
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| 428 | @ le_O_n |
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| 429 | qed. |
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| 430 | |
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| 431 | definition get_rs0_flag ≝ |
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| 432 | λs: Status. |
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| 433 | let sfr ≝ special_function_registers_8051 s in |
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| 434 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
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| 435 | get_index_v bool 8 psw 4 ?. |
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| 436 | normalize |
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| 437 | repeat (@ (le_S_S ? ?)) |
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| 438 | @ le_O_n |
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| 439 | qed. |
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| 440 | |
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| 441 | definition get_ov_flag ≝ |
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| 442 | λs: Status. |
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| 443 | let sfr ≝ special_function_registers_8051 s in |
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| 444 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
---|
| 445 | get_index_v bool 8 psw 5 ?. |
---|
| 446 | normalize |
---|
| 447 | repeat (@ (le_S_S ? ?)) |
---|
| 448 | @ le_O_n |
---|
| 449 | qed. |
---|
| 450 | |
---|
| 451 | definition get_ud_flag ≝ |
---|
| 452 | λs: Status. |
---|
| 453 | let sfr ≝ special_function_registers_8051 s in |
---|
| 454 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
---|
| 455 | get_index_v bool 8 psw 6 ?. |
---|
| 456 | normalize |
---|
| 457 | repeat (@ (le_S_S ? ?)) |
---|
| 458 | @ le_O_n |
---|
| 459 | qed. |
---|
| 460 | |
---|
| 461 | definition get_p_flag ≝ |
---|
| 462 | λs: Status. |
---|
| 463 | let sfr ≝ special_function_registers_8051 s in |
---|
| 464 | let psw ≝ get_index_v Byte 19 sfr (sfr_8051_index SFR_PSW) ? in |
---|
| 465 | get_index_v bool 8 psw 7 ?. |
---|
| 466 | normalize |
---|
| 467 | repeat (@ (le_S_S ? ?)) |
---|
| 468 | @ le_O_n |
---|
| 469 | qed. |
---|
| 470 | |
---|
| 471 | definition set_flags ≝ |
---|
| 472 | λs: Status. |
---|
| 473 | λcy: Bit. |
---|
| 474 | λac: option Bit. |
---|
| 475 | λov: Bit. |
---|
| 476 | let 〈 nu, nl 〉 ≝ split … 4 4 (get_8051_sfr s SFR_PSW) in |
---|
| 477 | let old_cy ≝ get_index_v… nu O ? in |
---|
| 478 | let old_ac ≝ get_index_v… nu 1 ? in |
---|
| 479 | let old_fo ≝ get_index_v… nu 2 ? in |
---|
| 480 | let old_rs1 ≝ get_index_v… nu 3 ? in |
---|
| 481 | let old_rs0 ≝ get_index_v… nl O ? in |
---|
| 482 | let old_ov ≝ get_index_v… nl 1 ? in |
---|
| 483 | let old_ud ≝ get_index_v… nl 2 ? in |
---|
| 484 | let old_p ≝ get_index_v… nl 3 ? in |
---|
| 485 | let new_ac ≝ match ac with [ None ⇒ old_ac | Some j ⇒ j ] in |
---|
| 486 | let new_psw ≝ [[ old_cy ; new_ac ; old_fo ; old_rs1 ; |
---|
| 487 | old_rs0 ; old_ov ; old_ud ; old_p ]] in |
---|
| 488 | set_8051_sfr s SFR_PSW new_psw. |
---|
| 489 | [1,2,3,4,5,6,7,8: |
---|
| 490 | normalize |
---|
| 491 | repeat (@ le_S_S) |
---|
| 492 | @ le_O_n |
---|
| 493 | ] |
---|
| 494 | qed. |
---|
| 495 | |
---|
| 496 | definition initialise_status ≝ |
---|
| 497 | let status ≝ mk_Status (Stub Byte 16) (* Code mem. *) |
---|
| 498 | (Stub Byte 7) (* Low mem. *) |
---|
| 499 | (Stub Byte 7) (* High mem. *) |
---|
| 500 | (Stub Byte 16) (* Ext mem. *) |
---|
| 501 | (zero 16) (* PC. *) |
---|
| 502 | (replicate Byte 19 (zero 8)) (* 8051 SFR. *) |
---|
| 503 | (replicate Byte 5 (zero 8)) (* 8052 SFR. *) |
---|
| 504 | (zero 8) (* P1 latch. *) |
---|
| 505 | (zero 8) (* P3 latch. *) |
---|
| 506 | O (* Clock. *) |
---|
| 507 | in |
---|
| 508 | set_8051_sfr status SFR_SP (bitvector_of_nat 8 7). |
---|
| 509 | |
---|
| 510 | axiom not_implemented: False. |
---|
| 511 | |
---|
| 512 | definition get_bit_addressable_sfr ≝ |
---|
| 513 | λs: Status. |
---|
| 514 | λn: nat. |
---|
| 515 | λb: BitVector n. |
---|
| 516 | λl: bool. |
---|
| 517 | let address ≝ nat_of_bitvector … b in |
---|
| 518 | if (eqb address 128) then |
---|
| 519 | ? |
---|
| 520 | else if (eqb address 144) then |
---|
| 521 | if l then |
---|
| 522 | (p1_latch s) |
---|
| 523 | else |
---|
| 524 | (get_8051_sfr s SFR_P1) |
---|
| 525 | else if (eqb address 160) then |
---|
| 526 | ? |
---|
| 527 | else if (eqb address 176) then |
---|
| 528 | if l then |
---|
| 529 | (p3_latch s) |
---|
| 530 | else |
---|
| 531 | (get_8051_sfr s SFR_P3) |
---|
| 532 | else if (eqb address 153) then |
---|
| 533 | get_8051_sfr s SFR_SBUF |
---|
| 534 | else if (eqb address 138) then |
---|
| 535 | get_8051_sfr s SFR_TL0 |
---|
| 536 | else if (eqb address 139) then |
---|
| 537 | get_8051_sfr s SFR_TL1 |
---|
| 538 | else if (eqb address 140) then |
---|
| 539 | get_8051_sfr s SFR_TH0 |
---|
| 540 | else if (eqb address 141) then |
---|
| 541 | get_8051_sfr s SFR_TH1 |
---|
| 542 | else if (eqb address 200) then |
---|
| 543 | get_8052_sfr s SFR_T2CON |
---|
| 544 | else if (eqb address 202) then |
---|
| 545 | get_8052_sfr s SFR_RCAP2L |
---|
| 546 | else if (eqb address 203) then |
---|
| 547 | get_8052_sfr s SFR_RCAP2H |
---|
| 548 | else if (eqb address 204) then |
---|
| 549 | get_8052_sfr s SFR_TL2 |
---|
| 550 | else if (eqb address 205) then |
---|
| 551 | get_8052_sfr s SFR_TH2 |
---|
| 552 | else if (eqb address 135) then |
---|
| 553 | get_8051_sfr s SFR_PCON |
---|
| 554 | else if (eqb address 136) then |
---|
| 555 | get_8051_sfr s SFR_TCON |
---|
| 556 | else if (eqb address 137) then |
---|
| 557 | get_8051_sfr s SFR_TMOD |
---|
| 558 | else if (eqb address 152) then |
---|
| 559 | get_8051_sfr s SFR_SCON |
---|
| 560 | else if (eqb address 168) then |
---|
| 561 | get_8051_sfr s SFR_IE |
---|
| 562 | else if (eqb address 184) then |
---|
| 563 | get_8051_sfr s SFR_IP |
---|
| 564 | else if (eqb address 129) then |
---|
| 565 | get_8051_sfr s SFR_SP |
---|
| 566 | else if (eqb address 130) then |
---|
| 567 | get_8051_sfr s SFR_DPL |
---|
| 568 | else if (eqb address 131) then |
---|
| 569 | get_8051_sfr s SFR_DPH |
---|
| 570 | else if (eqb address 208) then |
---|
| 571 | get_8051_sfr s SFR_PSW |
---|
| 572 | else if (eqb address 224) then |
---|
| 573 | get_8051_sfr s SFR_ACC_A |
---|
| 574 | else if (eqb address 240) then |
---|
| 575 | get_8051_sfr s SFR_ACC_B |
---|
| 576 | else |
---|
| 577 | ?. |
---|
| 578 | cases not_implemented |
---|
| 579 | qed. |
---|
| 580 | |
---|
| 581 | definition set_bit_addressable_sfr ≝ |
---|
| 582 | λs: Status. |
---|
| 583 | λb: Byte. |
---|
| 584 | λv: Byte. |
---|
| 585 | let address ≝ nat_of_bitvector … b in |
---|
| 586 | if (eqb address 128) then |
---|
| 587 | ? |
---|
| 588 | else if (eqb address 144) then |
---|
| 589 | let status_1 ≝ set_8051_sfr s SFR_P1 v in |
---|
| 590 | let status_2 ≝ set_p1_latch s v in |
---|
| 591 | status_2 |
---|
| 592 | else if (eqb address 160) then |
---|
| 593 | ? |
---|
| 594 | else if (eqb address 176) then |
---|
| 595 | let status_1 ≝ set_8051_sfr s SFR_P3 v in |
---|
| 596 | let status_2 ≝ set_p3_latch s v in |
---|
| 597 | status_2 |
---|
| 598 | else if (eqb address 153) then |
---|
| 599 | set_8051_sfr s SFR_SBUF v |
---|
| 600 | else if (eqb address 138) then |
---|
| 601 | set_8051_sfr s SFR_TL0 v |
---|
| 602 | else if (eqb address 139) then |
---|
| 603 | set_8051_sfr s SFR_TL1 v |
---|
| 604 | else if (eqb address 140) then |
---|
| 605 | set_8051_sfr s SFR_TH0 v |
---|
| 606 | else if (eqb address 141) then |
---|
| 607 | set_8051_sfr s SFR_TH1 v |
---|
| 608 | else if (eqb address 200) then |
---|
| 609 | set_8052_sfr s SFR_T2CON v |
---|
| 610 | else if (eqb address 202) then |
---|
| 611 | set_8052_sfr s SFR_RCAP2L v |
---|
| 612 | else if (eqb address 203) then |
---|
| 613 | set_8052_sfr s SFR_RCAP2H v |
---|
| 614 | else if (eqb address 204) then |
---|
| 615 | set_8052_sfr s SFR_TL2 v |
---|
| 616 | else if (eqb address 205) then |
---|
| 617 | set_8052_sfr s SFR_TH2 v |
---|
| 618 | else if (eqb address 135) then |
---|
| 619 | set_8051_sfr s SFR_PCON v |
---|
| 620 | else if (eqb address 136) then |
---|
| 621 | set_8051_sfr s SFR_TCON v |
---|
| 622 | else if (eqb address 137) then |
---|
| 623 | set_8051_sfr s SFR_TMOD v |
---|
| 624 | else if (eqb address 152) then |
---|
| 625 | set_8051_sfr s SFR_SCON v |
---|
| 626 | else if (eqb address 168) then |
---|
| 627 | set_8051_sfr s SFR_IE v |
---|
| 628 | else if (eqb address 184) then |
---|
| 629 | set_8051_sfr s SFR_IP v |
---|
| 630 | else if (eqb address 129) then |
---|
| 631 | set_8051_sfr s SFR_SP v |
---|
| 632 | else if (eqb address 130) then |
---|
| 633 | set_8051_sfr s SFR_DPL v |
---|
| 634 | else if (eqb address 131) then |
---|
| 635 | set_8051_sfr s SFR_DPH v |
---|
| 636 | else if (eqb address 208) then |
---|
| 637 | set_8051_sfr s SFR_PSW v |
---|
| 638 | else if (eqb address 224) then |
---|
| 639 | set_8051_sfr s SFR_ACC_A v |
---|
| 640 | else if (eqb address 240) then |
---|
| 641 | set_8051_sfr s SFR_ACC_B v |
---|
| 642 | else |
---|
| 643 | ?. |
---|
| 644 | cases not_implemented |
---|
| 645 | qed. |
---|
| 646 | |
---|
| 647 | definition bit_address_of_register ≝ |
---|
| 648 | λs: Status. |
---|
| 649 | λr: BitVector 3. |
---|
| 650 | let b ≝ get_index_v … r O ? in |
---|
| 651 | let c ≝ get_index_v … r 1 ? in |
---|
| 652 | let d ≝ get_index_v … r 2 ? in |
---|
| 653 | let 〈 un, ln 〉 ≝ split ? 4 4 (get_8051_sfr s SFR_PSW) in |
---|
[705] | 654 | let 〈 r1, r0 〉 ≝ 〈 get_index_v … 4 un 2 ?, get_index_v … 4 un 3 ? 〉 in |
---|
[475] | 655 | let offset ≝ |
---|
| 656 | if ¬r1 ∧ ¬r0 then |
---|
| 657 | O |
---|
| 658 | else if ¬r1 ∧ r0 then |
---|
| 659 | 8 |
---|
| 660 | else if r1 ∧ r0 then |
---|
| 661 | 24 |
---|
| 662 | else |
---|
| 663 | 16 |
---|
| 664 | in |
---|
| 665 | bitvector_of_nat 7 (offset + (nat_of_bitvector ? [[ false ; b ; c ; d ]])). |
---|
| 666 | [1,2,3,4,5: |
---|
| 667 | normalize |
---|
| 668 | repeat (@ le_S_S) |
---|
| 669 | @ le_O_n; |
---|
| 670 | ] |
---|
| 671 | qed. |
---|
| 672 | |
---|
| 673 | definition get_register ≝ |
---|
| 674 | λs: Status. |
---|
| 675 | λr: BitVector 3. |
---|
| 676 | let address ≝ bit_address_of_register s r in |
---|
| 677 | lookup … address (low_internal_ram s) (zero 8). |
---|
| 678 | |
---|
| 679 | definition set_register ≝ |
---|
| 680 | λs: Status. |
---|
| 681 | λr: BitVector 3. |
---|
| 682 | λv: Byte. |
---|
| 683 | let address ≝ bit_address_of_register s r in |
---|
| 684 | let old_low_internal_ram ≝ low_internal_ram s in |
---|
| 685 | let new_low_internal_ram ≝ insert … address v old_low_internal_ram in |
---|
| 686 | set_low_internal_ram s new_low_internal_ram. |
---|
| 687 | |
---|
| 688 | definition read_at_stack_pointer ≝ |
---|
| 689 | λs: Status. |
---|
| 690 | let 〈 nu, nl 〉 ≝ split … 4 4 (get_8051_sfr s SFR_SP) in |
---|
| 691 | let m ≝ get_index_v … nu O ? in |
---|
| 692 | let r1 ≝ get_index_v … nu 1 ? in |
---|
| 693 | let r2 ≝ get_index_v … nu 2 ? in |
---|
| 694 | let r3 ≝ get_index_v … nu 3 ? in |
---|
| 695 | let address ≝ [[ r1 ; r2 ; r3 ]] @@ nl in |
---|
| 696 | let memory ≝ |
---|
| 697 | if m then |
---|
| 698 | (low_internal_ram s) |
---|
| 699 | else |
---|
| 700 | (high_internal_ram s) |
---|
| 701 | in |
---|
| 702 | lookup … address memory (zero 8). |
---|
| 703 | [1,2,3,4: |
---|
| 704 | normalize |
---|
| 705 | repeat (@ le_S_S) |
---|
| 706 | @ le_O_n |
---|
| 707 | ] |
---|
| 708 | qed. |
---|
| 709 | |
---|
| 710 | definition write_at_stack_pointer ≝ |
---|
| 711 | λs: Status. |
---|
| 712 | λv: Byte. |
---|
| 713 | let 〈 nu, nl 〉 ≝ split … 4 4 (get_8051_sfr s SFR_SP) in |
---|
| 714 | let bit_zero ≝ get_index_v… nu O ? in |
---|
| 715 | let bit_1 ≝ get_index_v… nu 1 ? in |
---|
| 716 | let bit_2 ≝ get_index_v… nu 2 ? in |
---|
| 717 | let bit_3 ≝ get_index_v… nu 3 ? in |
---|
| 718 | if bit_zero then |
---|
| 719 | let memory ≝ insert … ([[ bit_1 ; bit_2 ; bit_3 ]] @@ nl) |
---|
| 720 | v (low_internal_ram s) in |
---|
| 721 | set_low_internal_ram s memory |
---|
| 722 | else |
---|
| 723 | let memory ≝ insert … ([[ bit_1 ; bit_2 ; bit_3 ]] @@ nl) |
---|
| 724 | v (high_internal_ram s) in |
---|
| 725 | set_high_internal_ram s memory. |
---|
| 726 | [1,2,3,4: |
---|
| 727 | normalize |
---|
| 728 | repeat (@ le_S_S) |
---|
| 729 | @ le_O_n |
---|
| 730 | ] |
---|
| 731 | qed. |
---|
| 732 | |
---|
| 733 | definition set_arg_16: Status → Word → [[ dptr ]] → Status ≝ |
---|
| 734 | λs,v,a. |
---|
| 735 | match a return λx. bool_to_Prop (is_in ? [[ dptr ]] x) → ? with |
---|
| 736 | [ DPTR ⇒ λ_:True. |
---|
| 737 | let 〈 bu, bl 〉 ≝ split … 8 8 v in |
---|
| 738 | let status ≝ set_8051_sfr s SFR_DPH bu in |
---|
| 739 | let status ≝ set_8051_sfr status SFR_DPL bl in |
---|
| 740 | status |
---|
| 741 | | _ ⇒ λK. |
---|
| 742 | match K in False with |
---|
| 743 | [ |
---|
| 744 | ] |
---|
| 745 | ] (subaddressing_modein … a). |
---|
| 746 | |
---|
| 747 | definition get_arg_16: Status → [[ data16 ]] → Word ≝ |
---|
| 748 | λs, a. |
---|
| 749 | match a return λx. bool_to_Prop (is_in ? [[ data16 ]] x) → ? with |
---|
| 750 | [ DATA16 d ⇒ λ_:True. d |
---|
| 751 | | _ ⇒ λK. |
---|
| 752 | match K in False with |
---|
| 753 | [ |
---|
| 754 | ] |
---|
| 755 | ] (subaddressing_modein … a). |
---|
| 756 | |
---|
| 757 | definition get_arg_8: Status → bool → [[ direct ; indirect ; register ; |
---|
| 758 | acc_a ; acc_b ; data ; acc_dptr ; |
---|
| 759 | acc_pc ; ext_indirect ; |
---|
| 760 | ext_indirect_dptr ]] → Byte ≝ |
---|
| 761 | λs, l, a. |
---|
| 762 | match a return λx. bool_to_Prop (is_in ? [[ direct ; indirect ; register ; |
---|
| 763 | acc_a ; acc_b ; data ; acc_dptr ; |
---|
| 764 | acc_pc ; ext_indirect ; |
---|
| 765 | ext_indirect_dptr ]] x) → ? with |
---|
| 766 | [ ACC_A ⇒ λacc_a: True. get_8051_sfr s SFR_ACC_A |
---|
| 767 | | ACC_B ⇒ λacc_b: True. get_8051_sfr s SFR_ACC_B |
---|
| 768 | | DATA d ⇒ λdata: True. d |
---|
| 769 | | REGISTER r ⇒ λregister: True. get_register s r |
---|
| 770 | | EXT_INDIRECT_DPTR ⇒ |
---|
| 771 | λext_indirect_dptr: True. |
---|
| 772 | let address ≝ (get_8051_sfr s SFR_DPH) @@ (get_8051_sfr s SFR_DPL) in |
---|
| 773 | lookup … 16 address (external_ram s) (zero 8) |
---|
| 774 | | EXT_INDIRECT e ⇒ |
---|
| 775 | λext_indirect: True. |
---|
| 776 | let address ≝ get_register s [[ false; false; e ]] in |
---|
| 777 | let padded_address ≝ pad 8 8 address in |
---|
| 778 | lookup … 16 padded_address (external_ram s) (zero 8) |
---|
| 779 | | ACC_DPTR ⇒ |
---|
| 780 | λacc_dptr: True. |
---|
| 781 | let dptr ≝ (get_8051_sfr s SFR_DPH) @@ (get_8051_sfr s SFR_DPL) in |
---|
| 782 | let padded_acc ≝ pad 8 8 (get_8051_sfr s SFR_ACC_A) in |
---|
| 783 | let 〈 carry, address 〉 ≝ half_add 16 dptr padded_acc in |
---|
| 784 | lookup … 16 address (external_ram s) (zero 8) |
---|
| 785 | | ACC_PC ⇒ |
---|
| 786 | λacc_pc: True. |
---|
| 787 | let padded_acc ≝ pad 8 8 (get_8051_sfr s SFR_ACC_A) in |
---|
| 788 | let 〈 carry, address 〉 ≝ half_add 16 (program_counter s) padded_acc in |
---|
| 789 | lookup … 16 address (external_ram s) (zero 8) |
---|
| 790 | | DIRECT d ⇒ |
---|
| 791 | λdirect: True. |
---|
| 792 | let 〈 nu, nl 〉 ≝ split … 4 4 d in |
---|
| 793 | let bit_1 ≝ get_index_v … nu 1 ? in |
---|
| 794 | match bit_1 with |
---|
| 795 | [ true ⇒ |
---|
| 796 | let 〈 bit_one, three_bits 〉 ≝ split ? 1 3 nu in |
---|
| 797 | let address ≝ three_bits @@ nl in |
---|
| 798 | lookup ? 7 address (low_internal_ram s) (zero 8) |
---|
| 799 | | false ⇒ get_bit_addressable_sfr s 8 d l |
---|
| 800 | ] |
---|
| 801 | | INDIRECT i ⇒ |
---|
| 802 | λindirect: True. |
---|
| 803 | let 〈 nu, nl 〉 ≝ split ? 4 4 (get_register s [[ false; false; i]]) in |
---|
| 804 | let 〈 bit_one_v, three_bits 〉 ≝ split ? 1 3 nu in |
---|
| 805 | let bit_1 ≝ get_index_v … bit_one_v O ? in |
---|
| 806 | match bit_1 with |
---|
| 807 | [ true ⇒ |
---|
| 808 | lookup ? 7 (three_bits @@ nl) (low_internal_ram s) (zero 8) |
---|
| 809 | | false ⇒ |
---|
| 810 | lookup ? 7 (three_bits @@ nl) (high_internal_ram s) (zero 8) |
---|
| 811 | ] |
---|
| 812 | | _ ⇒ λother. |
---|
| 813 | match other in False with [ ] |
---|
| 814 | ] (subaddressing_modein … a). |
---|
| 815 | [1,2: |
---|
| 816 | normalize |
---|
| 817 | repeat (@ le_S_S) |
---|
| 818 | @ le_O_n |
---|
| 819 | ] |
---|
| 820 | qed. |
---|
| 821 | |
---|
| 822 | definition set_arg_8: Status → [[ direct ; indirect ; register ; |
---|
| 823 | acc_a ; acc_b ; ext_indirect ; |
---|
| 824 | ext_indirect_dptr ]] → Byte → Status ≝ |
---|
| 825 | λs, a, v. |
---|
| 826 | match a return λx. bool_to_Prop (is_in ? [[ direct ; indirect ; register ; |
---|
| 827 | acc_a ; acc_b ; ext_indirect ; |
---|
| 828 | ext_indirect_dptr ]] x) → ? with |
---|
| 829 | [ DIRECT d ⇒ |
---|
| 830 | λdirect: True. |
---|
| 831 | let 〈 nu, nl 〉 ≝ split … 4 4 d in |
---|
| 832 | let bit_1 ≝ get_index_v … nu 1 ? in |
---|
| 833 | let 〈 ignore, three_bits 〉 ≝ split ? 1 3 nu in |
---|
| 834 | match bit_1 with |
---|
| 835 | [ true ⇒ set_bit_addressable_sfr s d v |
---|
| 836 | | false ⇒ |
---|
| 837 | let memory ≝ insert ? 7 (three_bits @@ nl) v (low_internal_ram s) in |
---|
| 838 | set_low_internal_ram s memory |
---|
| 839 | ] |
---|
| 840 | | INDIRECT i ⇒ |
---|
| 841 | λindirect: True. |
---|
| 842 | let register ≝ get_register s [[ false; false; i ]] in |
---|
| 843 | let 〈nu, nl〉 ≝ split ? 4 4 register in |
---|
| 844 | let bit_1 ≝ get_index_v … nu 1 ? in |
---|
| 845 | let 〈ignore, three_bits〉 ≝ split ? 1 3 nu in |
---|
| 846 | match bit_1 with |
---|
| 847 | [ true ⇒ |
---|
| 848 | let memory ≝ insert … (three_bits @@ nl) v (low_internal_ram s) in |
---|
| 849 | set_low_internal_ram s memory |
---|
| 850 | | false ⇒ |
---|
| 851 | let memory ≝ insert … (three_bits @@ nl) v (high_internal_ram s) in |
---|
| 852 | set_high_internal_ram s memory |
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| 853 | ] |
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| 854 | | REGISTER r ⇒ λregister: True. set_register s r v |
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| 855 | | ACC_A ⇒ λacc_a: True. set_8051_sfr s SFR_ACC_A v |
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| 856 | | ACC_B ⇒ λacc_b: True. set_8051_sfr s SFR_ACC_B v |
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| 857 | | EXT_INDIRECT e ⇒ |
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| 858 | λext_indirect: True. |
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| 859 | let address ≝ get_register s [[ false; false; e ]] in |
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| 860 | let padded_address ≝ pad 8 8 address in |
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| 861 | let memory ≝ insert ? 16 padded_address v (external_ram s) in |
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| 862 | set_external_ram s memory |
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| 863 | | EXT_INDIRECT_DPTR ⇒ |
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| 864 | λext_indirect_dptr: True. |
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| 865 | let address ≝ (get_8051_sfr s SFR_DPH) @@ (get_8051_sfr s SFR_DPL) in |
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| 866 | let memory ≝ insert ? 16 address v (external_ram s) in |
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| 867 | set_external_ram s memory |
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| 868 | | _ ⇒ |
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| 869 | λother: False. |
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| 870 | match other in False with [ ] |
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| 871 | ] (subaddressing_modein … a). |
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| 872 | [1,2,3,4: |
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| 873 | normalize |
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| 874 | repeat (@ le_S_S) |
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| 875 | @ le_O_n |
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| 876 | ] |
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| 877 | qed. |
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| 878 | |
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| 879 | theorem modulus_less_than: |
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| 880 | ∀m,n: nat. (m mod (S n)) < S n. |
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| 881 | #n #m |
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| 882 | normalize |
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| 883 | @ le_S_S |
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| 884 | lapply (le_n n) |
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| 885 | generalize in ⊢ (?%? → ?(??%?)?) |
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| 886 | elim n in ⊢ (∀_:?. ??% → ?(?%??)?) |
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| 887 | [ normalize |
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| 888 | #n |
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| 889 | @ (less_than_or_equal_b_elim n m) |
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| 890 | normalize |
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| 891 | [ // |
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| 892 | | #H #K |
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| 893 | inversion K |
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| 894 | [ # H1 |
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| 895 | < H1 |
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| 896 | // |
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| 897 | | #x #H1 #H2 #H3 |
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| 898 | destruct |
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| 899 | ] |
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| 900 | ] |
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| 901 | | normalize |
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| 902 | # y # H1 # n # H2 |
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| 903 | @ (less_than_or_equal_b_elim n m) |
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| 904 | normalize |
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| 905 | [ // |
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| 906 | | # K |
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| 907 | @ H1 |
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| 908 | cut (n ≤ S y → n - S m ≤ y) |
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| 909 | /2/ |
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| 910 | cases n |
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| 911 | normalize |
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| 912 | // |
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| 913 | # x # K1 |
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| 914 | lapply (le_S_S_to_le … K1) |
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| 915 | generalize in match m |
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| 916 | elim x |
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| 917 | normalize |
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| 918 | // |
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| 919 | # w1 # H # m |
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| 920 | cases m |
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| 921 | normalize |
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| 922 | // |
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| 923 | # q # K2 |
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| 924 | apply H |
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| 925 | /3/ |
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| 926 | ] |
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| 927 | ] |
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| 928 | qed. |
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| 929 | |
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| 930 | definition get_arg_1: Status → [[ bit_addr ; n_bit_addr ; carry ]] → |
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| 931 | bool → bool ≝ |
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| 932 | λs, a, l. |
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| 933 | match a return λx. bool_to_Prop (is_in ? [[ bit_addr ; |
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| 934 | n_bit_addr ; |
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| 935 | carry ]] x) → ? with |
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| 936 | [ BIT_ADDR b ⇒ |
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| 937 | λbit_addr: True. |
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| 938 | let 〈 nu, nl 〉 ≝ split … 4 4 b in |
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| 939 | let bit_1 ≝ get_index_v … nu 1 ? in |
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| 940 | let 〈 bit_one_v, three_bits 〉 ≝ split ? 1 3 nu in |
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| 941 | match bit_1 with |
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| 942 | [ true ⇒ |
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| 943 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
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| 944 | let d ≝ address ÷ 8 in |
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| 945 | let m ≝ address mod 8 in |
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| 946 | let trans ≝ bitvector_of_nat 8 ((d * 8) + 128) in |
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| 947 | let sfr ≝ get_bit_addressable_sfr s ? trans l in |
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| 948 | get_index_v … sfr m ? |
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| 949 | | false ⇒ |
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| 950 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
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| 951 | let address' ≝ bitvector_of_nat 7 ((address ÷ 8) + 32) in |
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| 952 | let t ≝ lookup … 7 address' (low_internal_ram s) (zero 8) in |
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| 953 | get_index_v … t (modulus address 8) ? |
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| 954 | ] |
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| 955 | | N_BIT_ADDR n ⇒ |
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| 956 | λn_bit_addr: True. |
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| 957 | let 〈 nu, nl 〉 ≝ split … 4 4 n in |
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| 958 | let bit_1 ≝ get_index_v … nu 1 ? in |
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| 959 | let 〈 bit_one_v, three_bits 〉 ≝ split ? 1 3 nu in |
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| 960 | match bit_1 with |
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| 961 | [ true ⇒ |
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| 962 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
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| 963 | let d ≝ address ÷ 8 in |
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| 964 | let m ≝ address mod 8 in |
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| 965 | let trans ≝ bitvector_of_nat 8 ((d * 8) + 128) in |
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| 966 | let sfr ≝ get_bit_addressable_sfr s ? trans l in |
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| 967 | ¬(get_index_v … sfr m ?) |
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| 968 | | false ⇒ |
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| 969 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
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| 970 | let address' ≝ bitvector_of_nat 7 ((address ÷ 8) + 32) in |
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| 971 | let trans ≝ lookup … 7 address' (low_internal_ram s) (zero 8) in |
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| 972 | ¬(get_index_v … trans (modulus address 8) ?) |
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| 973 | ] |
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| 974 | | CARRY ⇒ λcarry: True. get_cy_flag s |
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| 975 | | _ ⇒ λother. |
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| 976 | match other in False with [ ] |
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| 977 | ] (subaddressing_modein … a). |
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| 978 | [3,6: |
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| 979 | normalize |
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| 980 | repeat (@ le_S_S) |
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| 981 | @ le_O_n |
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| 982 | |1,2,4,5: |
---|
| 983 | apply modulus_less_than |
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| 984 | ] |
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| 985 | qed. |
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| 986 | |
---|
| 987 | definition set_arg_1: Status → [[ bit_addr ; carry ]] → |
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| 988 | Bit → Status ≝ |
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| 989 | λs, a, v. |
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| 990 | match a return λx. bool_to_Prop (is_in ? [[ bit_addr ; carry ]] x) → ? with |
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| 991 | [ BIT_ADDR b ⇒ λbit_addr: True. |
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| 992 | let 〈 nu, nl 〉 ≝ split ? 4 4 (get_8051_sfr s SFR_PSW) in |
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| 993 | let bit_1 ≝ get_index_v … nu 1 ? in |
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| 994 | let 〈 ignore, three_bits 〉 ≝ split ? 1 3 nu in |
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| 995 | match bit_1 with |
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| 996 | [ true ⇒ |
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| 997 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
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| 998 | let d ≝ address ÷ 8 in |
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| 999 | let m ≝ address mod 8 in |
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| 1000 | let t ≝ bitvector_of_nat 8 ((d * 8) + 128) in |
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| 1001 | let sfr ≝ get_bit_addressable_sfr s ? t true in |
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| 1002 | let new_sfr ≝ set_index … sfr m v ? in |
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| 1003 | set_bit_addressable_sfr s new_sfr t |
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| 1004 | | false ⇒ |
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| 1005 | let address ≝ nat_of_bitvector … (three_bits @@ nl) in |
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| 1006 | let address' ≝ bitvector_of_nat 7 ((address ÷ 8) + 32) in |
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| 1007 | let t ≝ lookup … 7 address' (low_internal_ram s) (zero 8) in |
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| 1008 | let n_bit ≝ set_index … t (modulus address 8) v ? in |
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| 1009 | let memory ≝ insert ? 7 address' n_bit (low_internal_ram s) in |
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| 1010 | set_low_internal_ram s memory |
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| 1011 | ] |
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| 1012 | | CARRY ⇒ |
---|
| 1013 | λcarry: True. |
---|
| 1014 | let 〈 nu, nl 〉 ≝ split ? 4 4 (get_8051_sfr s SFR_PSW) in |
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| 1015 | let bit_1 ≝ get_index_v… nu 1 ? in |
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| 1016 | let bit_2 ≝ get_index_v… nu 2 ? in |
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| 1017 | let bit_3 ≝ get_index_v… nu 3 ? in |
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| 1018 | let new_psw ≝ [[ v; bit_1 ; bit_2; bit_3 ]] @@ nl in |
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| 1019 | set_8051_sfr s SFR_PSW new_psw |
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| 1020 | | _ ⇒ |
---|
| 1021 | λother: False. |
---|
| 1022 | match other in False with |
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| 1023 | [ ] |
---|
| 1024 | ] (subaddressing_modein … a). |
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| 1025 | [1,2,3,6: |
---|
| 1026 | normalize |
---|
| 1027 | repeat (@ le_S_S) |
---|
| 1028 | @ le_O_n |
---|
| 1029 | |4,5: |
---|
| 1030 | @ modulus_less_than |
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| 1031 | ] |
---|
| 1032 | qed. |
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| 1033 | |
---|
| 1034 | definition load_code_memory ≝ |
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| 1035 | fold_left_i … ( |
---|
| 1036 | λi, mem, v. |
---|
| 1037 | insert … (bitvector_of_nat … i) v mem) (Stub Byte 16). |
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| 1038 | |
---|
| 1039 | definition load ≝ |
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| 1040 | λl, status. |
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| 1041 | set_code_memory status (load_code_memory l). |
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