freescale porting, work in progress

[helm.git] / helm / software / matita / contribs / ng_assembly / freescale_tests / micro_tests9.ma

diff --git a/helm/software/matita/contribs/ng_assembly/freescale_tests/micro_tests9.ma b/helm/software/matita/contribs/ng_assembly/freescale_tests/micro_tests9.ma
new file mode 100755 (executable)
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* ********************************************************************** *)
+(*                          Progetto FreeScale                            *)
+(*                                                                        *)
+(*   Sviluppato da: Ing. Cosimo Oliboni, oliboni@cs.unibo.it              *)
+(*   Ultima modifica: 05/08/2009                                          *)
+(*                                                                        *)
+(* ********************************************************************** *)
+
+include "freescale_tests/micro_tests_tools.ma".
+include "freescale/multivm.ma".
+include "freescale/status_lemmas.ma".
+include "common/nat_to_num.ma".
+
+(* ****************************************** *)
+(* MICRO TEST DI CORRETTEZZA DELLE ISTRUZIONI *)
+(* ****************************************** *)
+
+(* ********************* *)
+(* TEOREMA MULT PER RS08 *)
+(* ********************* *)
+
+ndefinition mTest_RS08_mult_source ≝ let m ≝ RS08 in source_to_byte8 m (
+(* 
+   ZH:ZL=X*Y con [0x0020-0x004F] X ≝ [0x0020] Y ≝ [0x0021] ZH ≝ [0x0022] ZL ≝ [0x0023]
+*)
+(* [0x3800] ZH <- 0      3clk *) (compile m ? CLR (maDIR1 〈x2,x2〉) I) @
+(* [0x3802] ZL <- 0      3clk *) (compile m ? CLR (maDIR1 〈x2,x3〉) I) @
+(* [0x3804] (l1) A <- Y  3clk *) (compile m ? LDA (maDIR1 〈x2,x1〉) I) @
+(* [0x3806] A=0 goto l2  3clk *) (compile m ? BEQ (maIMM1 〈x0,xE〉) I) @
+(* [0x3808] A <- ZL      3clk *) (compile m ? LDA (maDIR1 〈x2,x3〉) I) @
+(* [0x380A] Y --         5clk *) (compile m ? DEC (maDIR1 〈x2,x1〉) I) @
+(* [0x380C] A += X       3clk *) (compile m ? ADD (maDIR1 〈x2,x0〉) I) @
+(* [0x380E] C=0 goto l3  3clk *) (compile m ? BCC (maIMM1 〈x0,x2〉) I) @
+(* [0x3810] ZH ++        5clk *) (compile m ? INC (maDIR1 〈x2,x2〉) I) @
+(* [0x3812] (l3) ZL <- A 3clk *) (compile m ? STA (maDIR1 〈x2,x3〉) I) @
+(* [0x3814] goto l1      3clk *) (compile m ? BRA (maIMM1 〈xE,xE〉) I)
+(* [0x3816] (l2) si puo' quindi enunciare che
+                 - il caso base X * 0 richiede 12 cicli
+                 - bisogna aggiungere Y * 26 cicli, Y>0
+                 - bisogna aggiungere ZH * 5 cicli, X * Y > 0xFF *)
+).
+
+(* creazione del processore+caricamento+impostazione registri *)
+ndefinition mTest_RS08_mult_status ≝
+λt:memory_impl.
+λb1,b2,b3,b4:byte8.
+ set_z_flag RS08 t (* Z<-true *)
+ (set_pc_reg RS08 t (* PC<-mTest_RS08_prog *)
+  (start_of_mcu_version_RS08 
+   MC9RS08KA2 t
+   (load_from_source_at t (* carica X,Y,ZH,ZL:mTest_RS08_RAM *)
+    (load_from_source_at t (zero_memory t) (* carica source in ROM:mTest_RS08_prog *)
+     mTest_RS08_mult_source mTest_RS08_prog)
+    [ b1 ; b2 ; b3 ; b4 ] mTest_RS08_RAM)
+   (build_memory_type_of_mcu_version (FamilyRS08 MC9RS08KA2) t)
+   (mk_byte8 x0 x0) (mk_byte8 x0 x0) (* non deterministici tutti a 0 *)
+   false false false false false false (* non deterministici tutti a 0 *)
+   ) mTest_RS08_prog)
+  true.
+
+(* parametrizzazione dell'enunciato del teorema mult *)
+(* NB: la memoria e' cambiata e bisogna applicare eq_status *)
+ndefinition ok_mTest_RS08_mult_full_aux ≝
+λt:memory_impl.λX,Y:byte8.
+ eq_anystatus RS08 t
+  (match execute RS08 t (TickOK ? (mTest_RS08_mult_status t X Y 〈x0,x0〉 〈x0,x0〉))
+                                  (nat12 + (nat26 * (nat_of_b8 Y)) + (nat5 * (nat_of_b8 (w16h (mul_b8 X Y)))))
+   (* FIXME: alla ALU azzero C perche' la funzione che ne descrive il valore finale e' MOLTO complessa *)
+   with [ TickERR s _ ⇒ s | TickSUSP s _ ⇒ s | TickOK s ⇒ set_c_flag RS08 t s false ])
+  (set_pc_reg RS08 t (mTest_RS08_mult_status t X 〈x0,x0〉 (w16h (mul_b8 X Y)) (w16l (mul_b8 X Y))) 〈〈x3,x8〉:〈x1,x6〉〉)
+  (* controllo che coincidano X,Y,ZH,ZL *)
+  [ 〈〈x0,x0〉:〈x2,x0〉〉 ; 〈〈x0,x0〉:〈x2,x1〉〉 ; 〈〈x0,x0〉:〈x2,x2〉〉 ; 〈〈x0,x0〉:〈x2,x3〉〉 ] = true.
+
+nlemma ok_mTest_RS08_mult_full : 
+let X ≝ 〈xF,xF〉 in
+let Y ≝ 〈x1,xE〉 in
+ ∀t:memory_impl.
+  ok_mTest_RS08_mult_full_aux t X Y.
+ #t;
+ nletin X ≝ (〈xF,xF〉);
+ nletin Y ≝ (〈x1,xE〉);
+ napply (eq_to_eqanystatus_weak [ 〈〈x0,x0〉:〈x2,x0〉〉 ; 〈〈x0,x0〉:〈x2,x1〉〉 ; 〈〈x0,x0〉:〈x2,x2〉〉 ; 〈〈x0,x0〉:〈x2,x3〉〉 ] RS08 t
+        (match execute RS08 t (TickOK ? (mTest_RS08_mult_status t X Y 〈x0,x0〉 〈x0,x0〉))
+                                        (nat12 + (nat26 * (nat_of_b8 Y)) + (nat5 * (nat_of_b8 (w16h (mul_b8 X Y)))))
+         with [ TickERR s _ ⇒ s | TickSUSP s _ ⇒ s | TickOK s ⇒ set_c_flag RS08 t s false ])
+        (set_pc_reg RS08 t (mTest_RS08_mult_status t X 〈x0,x0〉 (w16h (mul_b8 X Y)) (w16l (mul_b8 X Y))) 〈〈x3,x8〉:〈x1,x6〉〉));
+ nelim t;
+ nnormalize in ⊢ (? ? ? %);
+ napply refl_eq.
+nqed.