1 | include "ASM/I8051.ma". |
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2 | include "common/CostLabel.ma". |
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3 | include "common/AST.ma". |
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4 | include "common/Registers.ma". |
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5 | include "utilities/extralib.ma". (* CSC: Only for Sigma type projections *) |
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6 | include "common/Graphs.ma". |
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7 | |
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8 | record params__: Type[1] ≝ |
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9 | { acc_a_reg: Type[0] |
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10 | ; acc_b_reg: Type[0] |
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11 | ; dpl_reg: Type[0] |
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12 | ; dph_reg: Type[0] |
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13 | ; pair_reg: Type[0] |
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14 | ; generic_reg: Type[0] |
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15 | |
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16 | ; extend_statements: Type[0] |
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17 | |
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18 | ; resultT: Type[0] |
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19 | ; localsT: Type[0] |
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20 | ; paramsT: Type[0] |
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21 | }. |
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22 | |
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23 | record params_: Type[1] ≝ |
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24 | { pars__:> params__ |
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25 | ; succ: Type[0] |
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26 | }. |
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27 | |
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28 | inductive joint_instruction (p:params__) (globals: list ident): Type[0] ≝ |
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29 | | joint_instr_comment: String → joint_instruction p globals |
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30 | | joint_instr_cost_label: costlabel → joint_instruction p globals |
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31 | | joint_instr_int: generic_reg p → Byte → joint_instruction p globals |
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32 | | joint_instr_move: pair_reg p → joint_instruction p globals |
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33 | | joint_instr_pop: acc_a_reg p → joint_instruction p globals |
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34 | | joint_instr_push: acc_a_reg p → joint_instruction p globals |
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35 | | joint_instr_address: ∀i: ident. (member i (eq_identifier ?) globals) → dpl_reg p → dph_reg p → joint_instruction p globals |
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36 | | joint_instr_opaccs: OpAccs → acc_a_reg p → acc_b_reg p → joint_instruction p globals |
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37 | | joint_instr_op1: Op1 → acc_a_reg p → joint_instruction p globals |
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38 | | joint_instr_op2: Op2 → acc_a_reg p → generic_reg p → joint_instruction p globals |
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39 | | joint_instr_clear_carry: joint_instruction p globals |
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40 | | joint_instr_set_carry: joint_instruction p globals |
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41 | | joint_instr_load: acc_a_reg p → dpl_reg p → dph_reg p → joint_instruction p globals |
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42 | | joint_instr_store: dpl_reg p → dph_reg p → acc_a_reg p → joint_instruction p globals |
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43 | | joint_instr_call_id: ident → nat → joint_instruction p globals |
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44 | | joint_instr_cond: acc_a_reg p → label → joint_instruction p globals |
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45 | | joint_instr_extension: extend_statements p → joint_instruction p globals. |
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46 | |
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47 | inductive joint_statement (p:params_) (globals: list ident): Type[0] ≝ |
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48 | | joint_st_sequential: joint_instruction p globals → succ p → joint_statement p globals |
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49 | | joint_st_goto: label → joint_statement p globals |
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50 | | joint_st_return: joint_statement p globals. |
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51 | |
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52 | |
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53 | record params (globals: list ident): Type[1] ≝ |
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54 | { pars_:> params_ |
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55 | ; codeT: Type[0] |
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56 | ; lookup: codeT → label → option (joint_statement pars_ globals) |
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57 | }. |
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58 | |
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59 | include alias "common/Graphs.ma". (* To pick the right lookup *) |
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60 | |
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61 | (* One common instantiation of params via Graphs of joint_statements *) |
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62 | definition graph_params: params_ → ∀globals: list ident. params globals ≝ |
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63 | λparams_,globals. mk_params globals params_ (graph (joint_statement params_ globals)) (lookup …). |
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64 | |
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65 | record joint_internal_function (globals: list ident) (p:params globals) : Type[0] ≝ |
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66 | { joint_if_luniverse: universe LabelTag; (*CSC: used only for compilation*) |
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67 | joint_if_runiverse: universe RegisterTag; (*CSC: used only for compilation*) |
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68 | (* joint_if_sig: signature; -- dropped in front end *) |
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69 | joint_if_result : resultT p; |
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70 | joint_if_params : paramsT p; |
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71 | joint_if_locals : localsT p; |
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72 | (*CSC: XXXXX stacksize unused for LTL-...*) |
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73 | joint_if_stacksize: nat; |
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74 | joint_if_code : codeT … p; |
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75 | (*CSC: XXXXX entry unused for LIN, but invariant in that case... *) |
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76 | joint_if_entry : Σl: label. lookup … joint_if_code l ≠ None ?; |
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77 | (*CSC: XXXXX exit only used up to RTL (and only for tailcall removal) *) |
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78 | joint_if_exit : Σl: label. lookup … joint_if_code l ≠ None ? |
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79 | }. |
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80 | |
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81 | (* Currified form *) |
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82 | definition set_joint_if_exit ≝ |
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83 | λglobals,pars. |
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84 | λexit: label. |
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85 | λp:joint_internal_function globals pars. |
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86 | λprf: lookup … (joint_if_code … p) exit ≠ None ?. |
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87 | mk_joint_internal_function globals pars |
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88 | (joint_if_luniverse … p) (joint_if_runiverse … p) (joint_if_result … p) |
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89 | (joint_if_params … p) (joint_if_locals … p) (joint_if_stacksize … p) |
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90 | (joint_if_code … p) (joint_if_entry … p) (dp … exit prf). |
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91 | |
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92 | definition set_luniverse ≝ |
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93 | λglobals,pars. |
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94 | λp : joint_internal_function globals pars. |
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95 | λluniverse: universe LabelTag. |
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96 | mk_joint_internal_function globals pars |
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97 | luniverse (joint_if_runiverse … p) (joint_if_result … p) |
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98 | (joint_if_params … p) (joint_if_locals … p) (joint_if_stacksize … p) |
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99 | (joint_if_code … p) (joint_if_entry … p) (joint_if_exit … p). |
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100 | |
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101 | (* Specialized for graph_params *) |
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102 | definition add_graph ≝ |
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103 | λpars_,globals.λl:label.λstmt.λp:joint_internal_function globals (graph_params pars_ globals). |
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104 | let code ≝ add … (joint_if_code ?? p) l stmt in |
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105 | mk_joint_internal_function … (graph_params pars_ globals) |
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106 | (joint_if_luniverse … p) (joint_if_runiverse … p) (joint_if_result … p) |
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107 | (joint_if_params … p) (joint_if_locals … p) (joint_if_stacksize … p) |
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108 | code (pi1 ?? (joint_if_entry … p)) (pi1 … (joint_if_exit … p)). |
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109 | normalize nodelta; |
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110 | [ cases (joint_if_entry … p) | cases (joint_if_exit … p)] |
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111 | #LBL #LBL_PRF @graph_add_lookup @LBL_PRF |
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112 | qed. |
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113 | |
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114 | definition set_locals ≝ |
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115 | λglobals,pars. |
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116 | λp : joint_internal_function globals pars. |
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117 | λlocals. |
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118 | mk_joint_internal_function globals pars |
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119 | (joint_if_luniverse … p) (joint_if_runiverse … p) (joint_if_result … p) |
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120 | (joint_if_params … p) locals (joint_if_stacksize … p) |
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121 | (joint_if_code … p) (joint_if_entry … p) (joint_if_exit … p). |
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122 | |
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123 | definition joint_function ≝ λp,globals. fundef (joint_internal_function p globals). |
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124 | |
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125 | definition joint_program ≝ |
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126 | λp:∀globals.params globals. program (λglobals. joint_function globals (p globals)) nat. |
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127 | |
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128 | (****************************************************************************) |
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129 | |
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130 | (* Used in LTL and LIN *) |
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131 | inductive registers_move: Type[0] ≝ |
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132 | | from_acc: Register → registers_move |
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133 | | to_acc: Register → registers_move. |
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