freescale porting, work in progress

[helm.git] / helm / software / matita / contribs / ng_assembly / freescale / word32.ma

diff --git a/helm/software/matita/contribs/ng_assembly/freescale/word32.ma b/helm/software/matita/contribs/ng_assembly/freescale/word32.ma
index fa57c68f5f919063c785578cc226ad81a2e6089d..8eb5d52e540888cdae1dce4a68dff1458e744996 100755 (executable)
--- a/helm/software/matita/contribs/ng_assembly/freescale/word32.ma
+++ b/helm/software/matita/contribs/ng_assembly/freescale/word32.ma
@@ -90,10 +90,10 @@ ndefinition ror_w32 ≝
    | false ⇒ mk_word32 wh' wl' ]]].
 
 (* operatore rotazione destra n-volte *)
-nlet rec ror_w32_n (dw:word32) (n:nat) on n ≝
- match n with
-  [ O ⇒ dw
-  | S n' ⇒ ror_w32_n (ror_w32 dw) n' ].
+nlet rec ror_w32_n (dw:word32) (n:bitrigesim) (r:rec_bitrigesim n) on r ≝
+ match r with
+  [ bi_O ⇒ dw
+  | bi_S t n' ⇒ ror_w32_n (ror_w32 dw) t n' ].
 
 (* operatore rotazione sinistra con carry *)
 ndefinition rcl_w32 ≝
@@ -116,10 +116,10 @@ ndefinition rol_w32 ≝
    | false ⇒ mk_word32 wh' wl' ]]].
 
 (* operatore rotazione sinistra n-volte *)
-nlet rec rol_w32_n (dw:word32) (n:nat) on n ≝
- match n with
-  [ O ⇒ dw
-  | S n' ⇒ rol_w32_n (rol_w32 dw) n' ].
+nlet rec rol_w32_n (dw:word32) (n:bitrigesim) (r:rec_bitrigesim n) on r ≝
+ match r with
+  [ bi_O ⇒ dw
+  | bi_S t n' ⇒ rol_w32_n (rol_w32 dw) t n' ].
 
 (* operatore not/complemento a 1 *)
 ndefinition not_w32 ≝
@@ -164,9 +164,6 @@ ndefinition plus_w32_d_c ≝
 (* operatore Most Significant Bit *)
 ndefinition MSB_w32 ≝ λdw:word32.eq_ex x8 (and_ex x8 (b8h (w16h (w32h dw)))).
 
-(* word → naturali *)
-ndefinition nat_of_word32 ≝ λdw:word32. (256 * 256 * (nat_of_word16 (w32h dw))) + (nat_of_word16 (w32l dw)).
-
 (* operatore predecessore *)
 ndefinition pred_w32 ≝
 λdw:word32.match eq_w16 (w32l dw) (mk_word16 (mk_byte8 x0 x0) (mk_byte8 x0 x0)) with
@@ -203,15 +200,15 @@ ndefinition mul_w16 ≝
 ]]]]]].
 
 (* divisione senza segno (secondo la logica delle ALU): (quoziente resto) overflow *)
-nlet rec div_w16_aux (divd:word32) (divs:word32) (molt:word16) (q:word16) (c:nat) on c ≝
+nlet rec div_w16_aux (divd:word32) (divs:word32) (molt:word16) (q:word16) (c:exadecim) (rc:rec_exadecim c) on rc ≝
   let w' ≝ plus_w32_d_d divd (compl_w32 divs) in
-   match c with
-   [ O ⇒ match le_w32 divs divd with
+   match rc with
+   [ ex_O ⇒ match le_w32 divs divd with
     [ true ⇒ triple … (or_w16 molt q) (w32l w') (⊖ (eq_w16 (w32h w') 〈〈x0,x0〉:〈x0,x0〉〉))
     | false ⇒ triple … q (w32l divd) (⊖ (eq_w16 (w32h divd) 〈〈x0,x0〉:〈x0,x0〉〉)) ]
-   | S c' ⇒ match le_w32 divs divd with
-    [ true ⇒ div_w16_aux w' (ror_w32 divs) (ror_w16 molt) (or_w16 molt q) c'
-    | false ⇒ div_w16_aux divd (ror_w32 divs) (ror_w16 molt) q c' ]].
+   | ex_S t c' ⇒ match le_w32 divs divd with
+    [ true ⇒ div_w16_aux w' (ror_w32 divs) (ror_w16 molt) (or_w16 molt q) t c'
+    | false ⇒ div_w16_aux divd (ror_w32 divs) (ror_w16 molt) q t c' ]].
 
 ndefinition div_w16 ≝
 λw:word32.λb:word16.match eq_w16 b 〈〈x0,x0〉:〈x0,x0〉〉 with
@@ -227,15 +224,15 @@ ndefinition div_w16 ≝
 (* 3) ad ogni ciclo il divisore e il moltiplicatore vengono scalati di 1 a dx *)
 (* 4) il moltiplicatore e' la quantita' aggiunta al quoziente se il divisore *)
 (*    puo' essere sottratto al dividendo *) 
-  | false ⇒ div_w16_aux w (rol_w32_n 〈〈〈x0,x0〉:〈x0,x0〉〉.b〉 15) 〈〈x8,x0〉:〈x0,x0〉〉 〈〈x0,x0〉:〈x0,x0〉〉 15 ]].
+  | false ⇒ div_w16_aux w (rol_w32_n 〈〈〈x0,x0〉:〈x0,x0〉〉.b〉 ? (bit_to_recbit t0F)) 〈〈x8,x0〉:〈x0,x0〉〉 〈〈x0,x0〉:〈x0,x0〉〉 ? (ex_to_recex xF) ]].
 
 (* operatore x in [inf,sup] *)
-ndefinition in_range ≝
+ndefinition inrange_w32 ≝
 λx,inf,sup:word32.(le_w32 inf sup) ⊗ (ge_w32 x inf) ⊗ (le_w32 x sup).
 
 (* iteratore sulle word *)
-ndefinition forall_word32 ≝
+ndefinition forall_w32 ≝
  λP.
-  forall_word16 (λbh.
-  forall_word16 (λbl.
+  forall_w16 (λbh.
+  forall_w16 (λbl.
    P (mk_word32 bh bl ))).