[257] | 1 | (* -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= *) |
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| 2 | (* Interpret.ma: Operational semantics for the 8051/8052 processor. *) |
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| 3 | (* -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= *) |
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| 4 | |
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| 5 | (* include "ASM.ma". *) |
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[259] | 6 | include "Arithmetic.ma". |
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[257] | 7 | include "BitVectorTrie.ma". |
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| 8 | |
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[276] | 9 | ndefinition Time ≝ Nat. |
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| 10 | |
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| 11 | ninductive SerialBufferType: Type[0] ≝ |
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| 12 | Eight: Byte → SerialBufferType |
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| 13 | | Nine: Bit → Byte → SerialBufferType. |
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| 14 | |
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| 15 | ninductive LineType: Type[0] ≝ |
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| 16 | P1: Byte → LineType |
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| 17 | | P3: Byte → LineType |
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| 18 | | SerialBuffer: SerialBufferType → LineType. |
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| 19 | |
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| 20 | (* What is a continuation, now? *) |
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| 21 | |
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[257] | 22 | ninductive SFR8051: Type[0] ≝ |
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| 23 | SFR_SP: SFR8051 |
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| 24 | | SFR_DPL: SFR8051 |
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| 25 | | SFR_DPH: SFR8051 |
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| 26 | | SFR_PCON: SFR8051 |
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| 27 | | SFR_TCON: SFR8051 |
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| 28 | | SFR_TMOD: SFR8051 |
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| 29 | | SFR_TL0: SFR8051 |
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| 30 | | SFR_TL1: SFR8051 |
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| 31 | | SFR_TH0: SFR8051 |
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| 32 | | SFR_TH1: SFR8051 |
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| 33 | | SFR_P1: SFR8051 |
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| 34 | | SFR_SCON: SFR8051 |
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| 35 | | SFR_SBUF: SFR8051 |
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| 36 | | SFR_IE: SFR8051 |
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| 37 | | SFR_P3: SFR8051 |
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| 38 | | SFR_IP: SFR8051 |
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| 39 | | SFR_PSW: SFR8051 |
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| 40 | | SFR_ACC_A: SFR8051 |
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| 41 | | SFR_ACC_B: SFR8051. |
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| 42 | |
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| 43 | ndefinition sfr_8051_index ≝ |
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| 44 | λs: SFR8051. |
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| 45 | match s with |
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| 46 | [ SFR_SP ⇒ Z |
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| 47 | | SFR_DPL ⇒ S Z |
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| 48 | | SFR_DPH ⇒ two |
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| 49 | | SFR_PCON ⇒ three |
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| 50 | | SFR_TCON ⇒ four |
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| 51 | | SFR_TMOD ⇒ five |
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| 52 | | SFR_TL0 ⇒ six |
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| 53 | | SFR_TL1 ⇒ seven |
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| 54 | | SFR_TH0 ⇒ eight |
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| 55 | | SFR_TH1 ⇒ nine |
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| 56 | | SFR_P1 ⇒ ten |
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| 57 | | SFR_SCON ⇒ eleven |
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| 58 | | SFR_SBUF ⇒ twelve |
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| 59 | | SFR_IE ⇒ thirteen |
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| 60 | | SFR_P3 ⇒ fourteen |
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| 61 | | SFR_IP ⇒ fifteen |
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| 62 | | SFR_PSW ⇒ sixteen |
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| 63 | | SFR_ACC_A ⇒ seventeen |
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| 64 | | SFR_ACC_B ⇒ eighteen |
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| 65 | ]. |
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| 66 | |
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| 67 | ninductive SFR8052: Type[0] ≝ |
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| 68 | SFR_T2CON: SFR8052 |
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| 69 | | SFR_RCAP2L: SFR8052 |
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| 70 | | SFR_RCAP2H: SFR8052 |
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| 71 | | SFR_TL2: SFR8052 |
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| 72 | | SFR_TH2: SFR8052. |
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| 73 | |
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| 74 | ndefinition sfr_8052_index ≝ |
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| 75 | λs: SFR8052. |
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| 76 | match s with |
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| 77 | [ SFR_T2CON ⇒ Z |
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| 78 | | SFR_RCAP2L ⇒ S Z |
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| 79 | | SFR_RCAP2H ⇒ two |
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| 80 | | SFR_TL2 ⇒ three |
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| 81 | | SFR_TH2 ⇒ four |
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| 82 | ]. |
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| 83 | |
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| 84 | (* -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= *) |
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| 85 | (* Processor status. *) |
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| 86 | (* -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= *) |
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| 87 | nrecord Status: Type[0] ≝ |
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| 88 | { |
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| 89 | code_memory: BitVectorTrie Byte sixteen; |
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| 90 | low_internal_ram: BitVectorTrie Byte seven; |
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| 91 | high_internal_ram: BitVectorTrie Byte seven; |
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| 92 | external_ram: BitVectorTrie Byte sixteen; |
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| 93 | |
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| 94 | program_counter: Word; |
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| 95 | |
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| 96 | special_function_registers_8051: Vector Byte nineteen; |
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[281] | 97 | special_function_registers_8052: Vector Byte five; |
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| 98 | |
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| 99 | p1_latch: Byte; |
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| 100 | p3_latch: Byte |
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[257] | 101 | }. |
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| 102 | |
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[265] | 103 | naxiom sfr8051_index_nineteen: |
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| 104 | ∀i: SFR8051. |
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| 105 | sfr_8051_index i < nineteen. |
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| 106 | |
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| 107 | naxiom sfr8052_index_five: |
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| 108 | ∀i: SFR8052. |
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| 109 | sfr_8052_index i < five. |
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[285] | 110 | |
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| 111 | ndefinition set_p1_latch ≝ |
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| 112 | λs: Status. |
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| 113 | λb: Byte. |
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| 114 | let old_code_memory ≝ code_memory s in |
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| 115 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 116 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 117 | let old_external_ram ≝ external_ram s in |
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| 118 | let old_program_counter ≝ program_counter s in |
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| 119 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 120 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 121 | let old_p3_latch ≝ p3_latch s in |
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| 122 | mk_Status old_code_memory |
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| 123 | old_low_internal_ram |
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| 124 | old_high_internal_ram |
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| 125 | old_external_ram |
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| 126 | old_program_counter |
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| 127 | old_special_function_registers_8051 |
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| 128 | old_special_function_registers_8052 |
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| 129 | b |
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| 130 | old_p3_latch. |
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[265] | 131 | |
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[285] | 132 | ndefinition set_p3_latch ≝ |
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| 133 | λs: Status. |
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| 134 | λb: Byte. |
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| 135 | let old_code_memory ≝ code_memory s in |
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| 136 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 137 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 138 | let old_external_ram ≝ external_ram s in |
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| 139 | let old_program_counter ≝ program_counter s in |
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| 140 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 141 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 142 | let old_p1_latch ≝ p1_latch s in |
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| 143 | mk_Status old_code_memory |
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| 144 | old_low_internal_ram |
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| 145 | old_high_internal_ram |
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| 146 | old_external_ram |
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| 147 | old_program_counter |
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| 148 | old_special_function_registers_8051 |
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| 149 | old_special_function_registers_8052 |
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| 150 | old_p1_latch |
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| 151 | b. |
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| 152 | |
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[265] | 153 | ndefinition get_8051_sfr ≝ |
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| 154 | λs: Status. |
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| 155 | λi: SFR8051. |
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| 156 | let sfr ≝ special_function_registers_8051 s in |
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| 157 | let index ≝ sfr_8051_index i in |
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| 158 | get_index … sfr index ?. |
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| 159 | napply (sfr8051_index_nineteen i). |
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| 160 | nqed. |
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| 161 | |
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| 162 | ndefinition get_8052_sfr ≝ |
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| 163 | λs: Status. |
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| 164 | λi: SFR8052. |
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| 165 | let sfr ≝ special_function_registers_8052 s in |
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| 166 | let index ≝ sfr_8052_index i in |
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| 167 | get_index … sfr index ?. |
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| 168 | napply (sfr8052_index_five i). |
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| 169 | nqed. |
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| 170 | |
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[259] | 171 | ndefinition set_8051_sfr ≝ |
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| 172 | λs: Status. |
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| 173 | λi: SFR8051. |
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| 174 | λb: Byte. |
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[265] | 175 | let index ≝ sfr_8051_index i in |
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| 176 | let old_code_memory ≝ code_memory s in |
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| 177 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 178 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 179 | let old_external_ram ≝ external_ram s in |
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| 180 | let old_program_counter ≝ program_counter s in |
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| 181 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 182 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 183 | let new_special_function_registers_8051 ≝ |
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| 184 | cic:/matita/ng/Vector/set_index.fix(0,3,2) Byte nineteen old_special_function_registers_8051 index b ? in |
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[285] | 185 | let old_p1_latch ≝ p1_latch s in |
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| 186 | let old_p3_latch ≝ p3_latch s in |
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[265] | 187 | mk_Status old_code_memory |
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| 188 | old_low_internal_ram |
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| 189 | old_high_internal_ram |
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| 190 | old_external_ram |
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| 191 | old_program_counter |
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| 192 | new_special_function_registers_8051 |
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[285] | 193 | old_special_function_registers_8052 |
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| 194 | old_p1_latch |
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| 195 | old_p3_latch. |
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[265] | 196 | napply (sfr8051_index_nineteen i). |
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| 197 | nqed. |
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[258] | 198 | |
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[265] | 199 | ndefinition set_8052_sfr ≝ |
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| 200 | λs: Status. |
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| 201 | λi: SFR8052. |
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| 202 | λb: Byte. |
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| 203 | let index ≝ sfr_8052_index i in |
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| 204 | let old_code_memory ≝ code_memory s in |
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| 205 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 206 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 207 | let old_external_ram ≝ external_ram s in |
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| 208 | let old_program_counter ≝ program_counter s in |
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| 209 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 210 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 211 | let new_special_function_registers_8052 ≝ |
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| 212 | cic:/matita/ng/Vector/set_index.fix(0,3,2) Byte five old_special_function_registers_8052 index b ? in |
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[285] | 213 | let old_p1_latch ≝ p1_latch s in |
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| 214 | let old_p3_latch ≝ p3_latch s in |
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[265] | 215 | mk_Status old_code_memory |
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| 216 | old_low_internal_ram |
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| 217 | old_high_internal_ram |
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| 218 | old_external_ram |
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| 219 | old_program_counter |
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| 220 | old_special_function_registers_8051 |
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[285] | 221 | new_special_function_registers_8052 |
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| 222 | old_p1_latch |
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| 223 | old_p3_latch. |
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[265] | 224 | napply (sfr8052_index_five i). |
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| 225 | nqed. |
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| 226 | |
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| 227 | ndefinition set_program_counter ≝ |
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| 228 | λs: Status. |
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| 229 | λw: Word. |
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| 230 | let old_code_memory ≝ code_memory s in |
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| 231 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 232 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 233 | let old_external_ram ≝ external_ram s in |
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| 234 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 235 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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[285] | 236 | let old_p1_latch ≝ p1_latch s in |
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| 237 | let old_p3_latch ≝ p3_latch s in |
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[265] | 238 | mk_Status old_code_memory |
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| 239 | old_low_internal_ram |
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| 240 | old_high_internal_ram |
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| 241 | old_external_ram |
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| 242 | w |
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| 243 | old_special_function_registers_8051 |
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[285] | 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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[265] | 247 | |
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| 248 | ndefinition set_code_memory ≝ |
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| 249 | λs: Status. |
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| 250 | λr: BitVectorTrie Byte sixteen. |
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| 251 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 252 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 253 | let old_external_ram ≝ external_ram s in |
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| 254 | let old_program_counter ≝ program_counter s in |
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| 255 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 256 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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[285] | 257 | let old_p1_latch ≝ p1_latch s in |
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| 258 | let old_p3_latch ≝ p3_latch s in |
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[265] | 259 | mk_Status r |
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| 260 | old_low_internal_ram |
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| 261 | old_high_internal_ram |
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| 262 | old_external_ram |
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| 263 | old_program_counter |
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| 264 | old_special_function_registers_8051 |
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[285] | 265 | old_special_function_registers_8052 |
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| 266 | old_p1_latch |
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| 267 | old_p3_latch. |
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[265] | 268 | |
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| 269 | ndefinition set_low_internal_ram ≝ |
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| 270 | λs: Status. |
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| 271 | λr: BitVectorTrie Byte seven. |
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| 272 | let old_code_memory ≝ code_memory s in |
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| 273 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 274 | let old_external_ram ≝ external_ram s in |
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| 275 | let old_program_counter ≝ program_counter s in |
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| 276 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 277 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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[285] | 278 | let old_p1_latch ≝ p1_latch s in |
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| 279 | let old_p3_latch ≝ p3_latch s in |
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[265] | 280 | mk_Status old_code_memory |
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| 281 | r |
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| 282 | old_high_internal_ram |
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| 283 | old_external_ram |
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| 284 | old_program_counter |
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| 285 | old_special_function_registers_8051 |
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[285] | 286 | old_special_function_registers_8052 |
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| 287 | old_p1_latch |
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| 288 | old_p3_latch. |
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[265] | 289 | |
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[285] | 290 | ndefinition set_high_internal_ram ≝ |
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| 291 | λs: Status. |
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| 292 | λr: BitVectorTrie Byte seven. |
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| 293 | let old_code_memory ≝ code_memory s in |
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| 294 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 295 | let old_high_internal_ram ≝ high_internal_ram s in |
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| 296 | let old_external_ram ≝ external_ram s in |
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| 297 | let old_program_counter ≝ program_counter s in |
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| 298 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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| 299 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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| 300 | let old_p1_latch ≝ p1_latch s in |
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| 301 | let old_p3_latch ≝ p3_latch s in |
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| 302 | mk_Status old_code_memory |
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| 303 | old_low_internal_ram |
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| 304 | r |
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| 305 | old_external_ram |
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| 306 | old_program_counter |
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| 307 | old_special_function_registers_8051 |
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| 308 | old_special_function_registers_8052 |
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| 309 | old_p1_latch |
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| 310 | old_p3_latch. |
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| 311 | |
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[267] | 312 | naxiom less_than_or_equal_monotone: |
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| 313 | ∀m, n: Nat. |
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| 314 | m ≤ n → S m ≤ S n. |
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| 315 | |
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| 316 | alias id "get_index" = "cic:/matita/ng/Vector/get_index.fix(0,3,2)". |
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| 317 | |
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[265] | 318 | ndefinition get_cy_flag ≝ |
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| 319 | λs: Status. |
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| 320 | let sfr ≝ special_function_registers_8051 s in |
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[267] | 321 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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| 322 | get_index Bool eight psw Z ?. |
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| 323 | nnormalize. |
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| 324 | napply (less_than_or_equal_monotone ? ?). |
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| 325 | napply (less_than_or_equal_zero). |
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| 326 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 327 | napply (less_than_or_equal_zero). |
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| 328 | nqed. |
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| 329 | |
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| 330 | ndefinition get_ac_flag ≝ |
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| 331 | λs: Status. |
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| 332 | let sfr ≝ special_function_registers_8051 s in |
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| 333 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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| 334 | get_index Bool eight psw (S Z) ?. |
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| 335 | nnormalize. |
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| 336 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 337 | napply (less_than_or_equal_zero). |
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| 338 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 339 | napply (less_than_or_equal_zero). |
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| 340 | nqed. |
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| 341 | |
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| 342 | ndefinition get_fo_flag ≝ |
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| 343 | λs: Status. |
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| 344 | let sfr ≝ special_function_registers_8051 s in |
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| 345 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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| 346 | get_index Bool eight psw two ?. |
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| 347 | nnormalize. |
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| 348 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 349 | napply (less_than_or_equal_zero). |
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| 350 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 351 | napply (less_than_or_equal_zero). |
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| 352 | nqed. |
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| 353 | |
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| 354 | ndefinition get_rs1_flag ≝ |
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| 355 | λs: Status. |
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| 356 | let sfr ≝ special_function_registers_8051 s in |
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| 357 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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| 358 | get_index Bool eight psw three ?. |
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| 359 | nnormalize. |
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| 360 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 361 | napply (less_than_or_equal_zero). |
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| 362 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 363 | napply (less_than_or_equal_zero). |
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| 364 | nqed. |
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| 365 | |
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| 366 | ndefinition get_rs0_flag ≝ |
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| 367 | λs: Status. |
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| 368 | let sfr ≝ special_function_registers_8051 s in |
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| 369 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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| 370 | get_index Bool eight psw four ?. |
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| 371 | nnormalize. |
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| 372 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 373 | napply (less_than_or_equal_zero). |
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| 374 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 375 | napply (less_than_or_equal_zero). |
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| 376 | nqed. |
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| 377 | |
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| 378 | ndefinition get_ov_flag ≝ |
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| 379 | λs: Status. |
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| 380 | let sfr ≝ special_function_registers_8051 s in |
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| 381 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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| 382 | get_index Bool eight psw five ?. |
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| 383 | nnormalize. |
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| 384 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 385 | napply (less_than_or_equal_zero). |
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| 386 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 387 | napply (less_than_or_equal_zero). |
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| 388 | nqed. |
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| 389 | |
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| 390 | ndefinition get_ud_flag ≝ |
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| 391 | λs: Status. |
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| 392 | let sfr ≝ special_function_registers_8051 s in |
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| 393 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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| 394 | get_index Bool eight psw six ?. |
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| 395 | nnormalize. |
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| 396 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 397 | napply (less_than_or_equal_zero). |
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| 398 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 399 | napply (less_than_or_equal_zero). |
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| 400 | nqed. |
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| 401 | |
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| 402 | ndefinition get_p_flag ≝ |
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| 403 | λs: Status. |
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| 404 | let sfr ≝ special_function_registers_8051 s in |
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| 405 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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| 406 | get_index Bool eight psw seven ?. |
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| 407 | nnormalize. |
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| 408 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 409 | napply (less_than_or_equal_zero). |
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| 410 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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| 411 | napply (less_than_or_equal_zero). |
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| 412 | nqed. |
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[265] | 413 | |
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[290] | 414 | ndefinition set_flags ≝ |
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| 415 | λs: Status. |
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| 416 | λcy: Bit. |
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| 417 | λac: Maybe Bit. |
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| 418 | λov: Bit. |
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| 419 | let 〈 nu, nl 〉 ≝ split … four four (get_8051_sfr s SFR_PSW) in |
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| 420 | let old_cy ≝ get_index … nu Z ? in |
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| 421 | let old_ac ≝ get_index … nu one ? in |
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| 422 | let old_fo ≝ get_index … nu two ? in |
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| 423 | let old_rs1 ≝ get_index … nu three ? in |
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| 424 | let old_rs0 ≝ get_index … nl Z ? in |
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| 425 | let old_ov ≝ get_index … nl one ? in |
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| 426 | let old_ud ≝ get_index … nl two ? in |
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| 427 | let old_p ≝ get_index … nl three ? in |
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| 428 | let new_ac ≝ match ac with [ Nothing ⇒ old_ac | Just j ⇒ j ] in |
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| 429 | let new_psw ≝ [[ old_cy ; new_ac ; old_fo ; old_rs1 ; |
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| 430 | old_rs0 ; old_ov ; old_ud ; old_p ]] in |
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| 431 | set_8051_sfr s SFR_PSW new_psw. |
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| 432 | ##[##1,2,3,4,5,6,7,8: |
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| 433 | nnormalize; |
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| 434 | nrepeat (napply less_than_or_equal_monotone); |
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| 435 | napply (less_than_or_equal_zero); |
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| 436 | ##] |
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| 437 | nqed. |
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| 438 | |
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[257] | 439 | ndefinition initialise_status ≝ |
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[285] | 440 | let status ≝ mk_Status (Stub Byte sixteen) (* Code mem. *) |
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| 441 | (Stub Byte seven) (* Low mem. *) |
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| 442 | (Stub Byte seven) (* High mem. *) |
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| 443 | (Stub Byte sixteen) (* Ext mem. *) |
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| 444 | (zero sixteen) (* PC. *) |
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| 445 | (replicate Byte nineteen (zero eight)) (* 8051 SFR. *) |
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| 446 | (replicate Byte five (zero eight)) (* 8052 SFR. *) |
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| 447 | (zero eight) (* P1 latch. *) |
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| 448 | (zero eight) in (* P3 latch. *) |
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[281] | 449 | set_program_counter status (bitvector_of_nat sixteen seven). |
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| 450 | |
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| 451 | naxiom not_implemented: False. |
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| 452 | |
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| 453 | include "Arithmetic.ma". |
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| 454 | |
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| 455 | ndefinition get_bit_addressable_sfr ≝ |
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| 456 | λs: Status. |
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| 457 | λn: Nat. |
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| 458 | λb: BitVector n. |
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| 459 | λl: Bool. |
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| 460 | let address ≝ nat_of_bitvector … b in |
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| 461 | if (decidable_equality address one_hundred_and_twenty_eight) then |
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| 462 | ? |
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| 463 | else if (decidable_equality address one_hundred_and_forty_four) then |
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| 464 | if l then |
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| 465 | (p1_latch s) |
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| 466 | else |
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| 467 | (get_8051_sfr s SFR_P1) |
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| 468 | else if (decidable_equality address one_hundred_and_sixty) then |
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| 469 | ? |
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| 470 | else if (decidable_equality address one_hundred_and_seventy_six) then |
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| 471 | if l then |
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| 472 | (p3_latch s) |
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| 473 | else |
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| 474 | (get_8051_sfr s SFR_P3) |
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| 475 | else if (decidable_equality address one_hundred_and_fifty_three) then |
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| 476 | get_8051_sfr s SFR_SBUF |
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| 477 | else if (decidable_equality address one_hundred_and_thirty_eight) then |
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| 478 | get_8051_sfr s SFR_TL0 |
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| 479 | else if (decidable_equality address one_hundred_and_thirty_nine) then |
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| 480 | get_8051_sfr s SFR_TL1 |
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| 481 | else if (decidable_equality address one_hundred_and_forty) then |
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| 482 | get_8051_sfr s SFR_TH0 |
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| 483 | else if (decidable_equality address one_hundred_and_forty_one) then |
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| 484 | get_8051_sfr s SFR_TH1 |
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| 485 | else if (decidable_equality address two_hundred) then |
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| 486 | get_8052_sfr s SFR_T2CON |
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| 487 | else if (decidable_equality address two_hundred_and_two) then |
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| 488 | get_8052_sfr s SFR_RCAP2L |
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| 489 | else if (decidable_equality address two_hundred_and_three) then |
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| 490 | get_8052_sfr s SFR_RCAP2H |
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| 491 | else if (decidable_equality address two_hundred_and_four) then |
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| 492 | get_8052_sfr s SFR_TL2 |
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| 493 | else if (decidable_equality address two_hundred_and_five) then |
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| 494 | get_8052_sfr s SFR_TH2 |
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| 495 | else if (decidable_equality address one_hundred_and_thirty_five) then |
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| 496 | get_8051_sfr s SFR_PCON |
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| 497 | else if (decidable_equality address one_hundred_and_thirty_six) then |
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| 498 | get_8051_sfr s SFR_TCON |
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| 499 | else if (decidable_equality address one_hundred_and_thirty_seven) then |
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| 500 | get_8051_sfr s SFR_TMOD |
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| 501 | else if (decidable_equality address one_hundred_and_fifty_two) then |
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| 502 | get_8051_sfr s SFR_SCON |
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| 503 | else if (decidable_equality address one_hundred_and_sixty_eight) then |
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| 504 | get_8051_sfr s SFR_IE |
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| 505 | else if (decidable_equality address one_hundred_and_eighty_four) then |
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| 506 | get_8051_sfr s SFR_IP |
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| 507 | else if (decidable_equality address one_hundred_and_twenty_nine) then |
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| 508 | get_8051_sfr s SFR_SP |
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| 509 | else if (decidable_equality address one_hundred_and_thirty) then |
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| 510 | get_8051_sfr s SFR_DPL |
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| 511 | else if (decidable_equality address one_hundred_and_thirty_one) then |
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| 512 | get_8051_sfr s SFR_DPH |
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| 513 | else if (decidable_equality address two_hundred_and_eight) then |
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| 514 | get_8051_sfr s SFR_PSW |
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| 515 | else if (decidable_equality address two_hundred_and_twenty_four) then |
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| 516 | get_8051_sfr s SFR_ACC_A |
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| 517 | else if (decidable_equality address two_hundred_and_forty) then |
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| 518 | get_8051_sfr s SFR_ACC_B |
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| 519 | else |
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| 520 | ?. |
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| 521 | ncases not_implemented. |
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[285] | 522 | nqed. |
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| 523 | |
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| 524 | ndefinition set_bit_addressable_sfr ≝ |
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| 525 | λs: Status. |
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| 526 | λb: Byte. |
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| 527 | let address ≝ nat_of_bitvector … b in |
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| 528 | if (decidable_equality address one_hundred_and_twenty_eight) then |
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| 529 | ? |
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| 530 | else if (decidable_equality address one_hundred_and_forty_four) then |
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| 531 | let status_1 ≝ set_8051_sfr s SFR_P1 b in |
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| 532 | let status_2 ≝ set_p1_latch s b in |
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| 533 | status_2 |
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| 534 | else if (decidable_equality address one_hundred_and_sixty) then |
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| 535 | ? |
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| 536 | else if (decidable_equality address one_hundred_and_seventy_six) then |
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| 537 | let status_1 ≝ set_8051_sfr s SFR_P3 b in |
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| 538 | let status_2 ≝ set_p3_latch s b in |
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| 539 | status_2 |
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| 540 | else if (decidable_equality address one_hundred_and_fifty_three) then |
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| 541 | set_8051_sfr s SFR_SBUF b |
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| 542 | else if (decidable_equality address one_hundred_and_thirty_eight) then |
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| 543 | set_8051_sfr s SFR_TL0 b |
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| 544 | else if (decidable_equality address one_hundred_and_thirty_nine) then |
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| 545 | set_8051_sfr s SFR_TL1 b |
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| 546 | else if (decidable_equality address one_hundred_and_forty) then |
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| 547 | set_8051_sfr s SFR_TH0 b |
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| 548 | else if (decidable_equality address one_hundred_and_forty_one) then |
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| 549 | set_8051_sfr s SFR_TH1 b |
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| 550 | else if (decidable_equality address two_hundred) then |
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| 551 | set_8052_sfr s SFR_T2CON b |
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| 552 | else if (decidable_equality address two_hundred_and_two) then |
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| 553 | set_8052_sfr s SFR_RCAP2L b |
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| 554 | else if (decidable_equality address two_hundred_and_three) then |
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| 555 | set_8052_sfr s SFR_RCAP2H b |
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| 556 | else if (decidable_equality address two_hundred_and_four) then |
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| 557 | set_8052_sfr s SFR_TL2 b |
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| 558 | else if (decidable_equality address two_hundred_and_five) then |
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| 559 | set_8052_sfr s SFR_TH2 b |
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| 560 | else if (decidable_equality address one_hundred_and_thirty_five) then |
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| 561 | set_8051_sfr s SFR_PCON b |
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| 562 | else if (decidable_equality address one_hundred_and_thirty_six) then |
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| 563 | set_8051_sfr s SFR_TCON b |
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| 564 | else if (decidable_equality address one_hundred_and_thirty_seven) then |
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| 565 | set_8051_sfr s SFR_TMOD b |
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| 566 | else if (decidable_equality address one_hundred_and_fifty_two) then |
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| 567 | set_8051_sfr s SFR_SCON b |
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| 568 | else if (decidable_equality address one_hundred_and_sixty_eight) then |
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| 569 | set_8051_sfr s SFR_IE b |
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| 570 | else if (decidable_equality address one_hundred_and_eighty_four) then |
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| 571 | set_8051_sfr s SFR_IP b |
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| 572 | else if (decidable_equality address one_hundred_and_twenty_nine) then |
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| 573 | set_8051_sfr s SFR_SP b |
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| 574 | else if (decidable_equality address one_hundred_and_thirty) then |
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| 575 | set_8051_sfr s SFR_DPL b |
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| 576 | else if (decidable_equality address one_hundred_and_thirty_one) then |
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| 577 | set_8051_sfr s SFR_DPH b |
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| 578 | else if (decidable_equality address two_hundred_and_eight) then |
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| 579 | set_8051_sfr s SFR_PSW b |
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| 580 | else if (decidable_equality address two_hundred_and_twenty_four) then |
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| 581 | set_8051_sfr s SFR_ACC_A b |
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| 582 | else if (decidable_equality address two_hundred_and_forty) then |
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| 583 | set_8051_sfr s SFR_ACC_B b |
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| 584 | else |
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| 585 | ?. |
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| 586 | ncases not_implemented. |
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[286] | 587 | nqed. |
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| 588 | |
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| 589 | ndefinition bit_address_of_register ≝ |
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| 590 | λs: Status. |
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| 591 | λb, c, d: Bit. |
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| 592 | let 〈 un, ln 〉 ≝ split ? four four (get_8051_sfr s SFR_PSW) in |
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| 593 | let 〈 r1, r0 〉 ≝ mk_Cartesian … (get_index four un two ?) (get_index four un three ?) in |
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| 594 | let offset ≝ |
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| 595 | if conjunction (negation r1) (negation r0) then |
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| 596 | Z |
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| 597 | else if conjunction (negation r1) r0 then |
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| 598 | eight |
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| 599 | else if conjunction r1 r0 then |
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| 600 | twenty_four |
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| 601 | else |
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| 602 | sixteen |
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| 603 | in |
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| 604 | bitvector_of_nat seven (offset + (nat_of_bitvector ? [[ false ; b ; c ; d ]])). |
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| 605 | nnormalize. |
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| 606 | nrepeat (napply less_than_or_equal_monotone). |
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| 607 | napply less_than_or_equal_zero. |
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| 608 | nrepeat (napply less_than_or_equal_monotone). |
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| 609 | napply less_than_or_equal_zero. |
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[287] | 610 | nqed. |
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| 611 | |
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| 612 | ndefinition get_register ≝ |
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| 613 | λs: Status. |
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| 614 | λb, c, d: Bit. |
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| 615 | let address ≝ bit_address_of_register s b c d in |
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| 616 | lookup … address (low_internal_ram s) (zero eight). |
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| 617 | |
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| 618 | ndefinition set_register ≝ |
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| 619 | λs: Status. |
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| 620 | λb, c, d: Bit. |
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| 621 | λv: Byte. |
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| 622 | let address ≝ bit_address_of_register s b c d in |
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| 623 | let old_low_internal_ram ≝ low_internal_ram s in |
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| 624 | let new_low_internal_ram ≝ insert … address v old_low_internal_ram in |
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| 625 | set_low_internal_ram s new_low_internal_ram. |
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| 626 | |
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| 627 | ndefinition read_at_stack_pointer ≝ |
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| 628 | λs: Status. |
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| 629 | let 〈 nu, nl 〉 ≝ split … four four (get_8051_sfr s SFR_SP) in |
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| 630 | let m ≝ get_index … nu Z ? in |
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| 631 | let r1 ≝ get_index … nu one ? in |
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| 632 | let r2 ≝ get_index … nu two ? in |
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| 633 | let r3 ≝ get_index … nu three ? in |
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| 634 | let address ≝ [[ r1 ; r2 ; r3 ]] @@ nl in |
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| 635 | let memory ≝ |
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| 636 | if m then |
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| 637 | (low_internal_ram s) |
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| 638 | else |
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| 639 | (high_internal_ram s) |
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| 640 | in |
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| 641 | lookup … address memory (zero eight). |
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| 642 | ##[##1,2,3,4: |
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| 643 | nnormalize; |
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| 644 | nrepeat (napply less_than_or_equal_monotone); |
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| 645 | napply less_than_or_equal_zero; |
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| 646 | ##] |
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[288] | 647 | nqed. |
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| 648 | |
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[289] | 649 | ndefinition write_at_stack_pointer ≝ |
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[288] | 650 | λs: Status. |
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| 651 | λv: Byte. |
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[289] | 652 | let 〈 nu, nl 〉 ≝ split … four four (get_8051_sfr s SFR_SP) in |
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| 653 | let bit_zero ≝ get_index … nu Z ? in |
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| 654 | let bit_one ≝ get_index … nu one ? in |
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| 655 | let bit_two ≝ get_index … nu two ? in |
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| 656 | let bit_three ≝ get_index … nu three ? in |
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| 657 | if bit_zero then |
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| 658 | let memory ≝ insert … ([[ bit_one ; bit_two ; bit_three ]] @@ nl) |
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| 659 | v (low_internal_ram s) in |
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| 660 | set_low_internal_ram s memory |
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| 661 | else |
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| 662 | let memory ≝ insert … ([[ bit_one ; bit_two ; bit_three ]] @@ nl) |
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| 663 | v (high_internal_ram s) in |
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| 664 | set_high_internal_ram s memory. |
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| 665 | ##[##1,2,3,4: |
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| 666 | nnormalize; |
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| 667 | nrepeat (napply less_than_or_equal_monotone); |
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| 668 | napply less_than_or_equal_zero; |
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| 669 | ##] |
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[294] | 670 | nqed. |
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| 671 | |
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| 672 | include "ASM.ma". |
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| 673 | |
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| 674 | ndefinition set_arg_16: Status → Word → [[ dptr ]] → Status ≝ |
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| 675 | λs,v,a. |
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| 676 | match a return λx. bool_to_Prop (is_in ? [[ dptr ]] x) → ? with |
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| 677 | [ DPTR ⇒ λ_:True. |
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| 678 | let 〈 bu, bl 〉 ≝ split … eight eight v in |
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| 679 | let status ≝ set_8051_sfr s SFR_DPH bu in |
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| 680 | let status ≝ set_8051_sfr status SFR_DPL bl in |
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| 681 | status |
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| 682 | | _ ⇒ λK. |
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| 683 | match K in False with |
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| 684 | [ |
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| 685 | ] |
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| 686 | ] (subaddressing_modein … a). |
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| 687 | |
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| 688 | ndefinition get_arg_16: Status → [[ data16 ]] → Word ≝ |
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| 689 | λs, a. |
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| 690 | match a return λx. bool_to_Prop (is_in ? [[ data16 ]] x) → ? with |
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| 691 | [ DATA16 d ⇒ λ_:True. d |
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| 692 | | _ ⇒ λK. |
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| 693 | match K in False with |
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| 694 | [ |
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| 695 | ] |
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[310] | 696 | ] (subaddressing_modein … a). |
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| 697 | |
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| 698 | naxiom half_add: |
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| 699 | ∀n: Nat. |
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| 700 | ∀b, c: BitVector n. |
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| 701 | BitVector n × Bool. |
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| 702 | |
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| 703 | ndefinition get_arg_8: Status → Bool → [[ direct ; indirect ; register ; |
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| 704 | acc_a ; acc_b ; data ; acc_dptr ; |
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| 705 | acc_pc ; ext_indirect ; |
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| 706 | ext_indirect_dptr ]] → Byte ≝ |
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| 707 | λs, l, a. |
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| 708 | match a return λx. bool_to_Prop (is_in ? [[ direct ; indirect ; register ; |
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| 709 | acc_a ; acc_b ; data ; acc_dptr ; |
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| 710 | acc_pc ; ext_indirect ; |
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| 711 | ext_indirect_dptr ]] x) → ? with |
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| 712 | [ ACC_A ⇒ λK: True. get_8051_sfr s SFR_ACC_A |
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| 713 | | ACC_B ⇒ λK: True. get_8051_sfr s SFR_ACC_B |
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| 714 | | DATA d ⇒ λK: True. d |
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| 715 | | REGISTER r1 r2 r3 ⇒ λK: True. get_register s r1 r2 r3 |
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| 716 | | EXT_INDIRECT_DPTR ⇒ |
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| 717 | λK: True. |
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| 718 | let address ≝ (get_8051_sfr s SFR_DPH) @@ (get_8051_sfr s SFR_DPL) in |
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| 719 | lookup … sixteen address (external_ram s) (zero eight) |
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| 720 | | EXT_INDIRECT e ⇒ |
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| 721 | λK: True. |
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| 722 | let address ≝ get_register s false false e in |
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| 723 | let padded_address ≝ pad eight eight address in |
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| 724 | lookup … sixteen padded_address (external_ram s) |
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| 725 | | ACC_DPTR ⇒ |
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| 726 | λK: True. |
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| 727 | let dptr ≝ (get_8051_sfr s SFR_DPH) @@ (get_8051_sfr s SFR_DPL) in |
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| 728 | let padded_acc ≝ pad eight eight (get_8051_sfr s SFR_ACC_A) in |
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| 729 | let 〈 address, carry 〉 ≝ half_add sixteen dptr padded_acc in |
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| 730 | lookup … sixteen address (external_ram s) (zero eight) |
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| 731 | | ACC_PC ⇒ |
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| 732 | λK: True. |
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| 733 | let padded_acc ≝ pad eight eight (get_8051_sfr s SFR_ACC_A) in |
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| 734 | let 〈 address, carry 〉 ≝ half_add sixteen (program_counter s) padded_acc in |
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| 735 | lookup … sixteen address (external_ram s) (zero eight) |
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| 736 | | DIRECT d ⇒ |
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| 737 | λK: True. |
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| 738 | ? |
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| 739 | | INDIRECT i ⇒ |
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| 740 | λK: True. ? |
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| 741 | | _ ⇒ λK. ? |
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| 742 | ] (subaddressing_modein … a). |
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| 743 | nauto; |
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| 744 | nqed. |
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