X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_assembly%2Fnum%2Fword32.ma;h=a5a74faa8803279db711d45b9f6b34763a3c9644;hb=d00e19c7000a00659ffd609ef79675eb0f010659;hp=81c0af5954e4fb341d09e858ad144f684ea17a82;hpb=38fccc2b774e493a94eedef76342b56079c0e694;p=helm.git diff --git a/helm/software/matita/contribs/ng_assembly/num/word32.ma b/helm/software/matita/contribs/ng_assembly/num/word32.ma index 81c0af595..a5a74faa8 100755 --- a/helm/software/matita/contribs/ng_assembly/num/word32.ma +++ b/helm/software/matita/contribs/ng_assembly/num/word32.ma @@ -42,20 +42,27 @@ ndefinition eq_w32 ≝ λdw1,dw2.(eq_w16 (w32h dw1) (w32h dw2)) ⊗ (eq_w16 (w32 (* operatore < *) ndefinition lt_w32 ≝ -λdw1,dw2:word32.match lt_w16 (w32h dw1) (w32h dw2) with - [ true ⇒ true - | false ⇒ match gt_w16 (w32h dw1) (w32h dw2) with - [ true ⇒ false - | false ⇒ lt_w16 (w32l dw1) (w32l dw2) ]]. +λdw1,dw2:word32. + (lt_w16 (w32h dw1) (w32h dw2)) ⊕ + ((eq_w16 (w32h dw1) (w32h dw2)) ⊗ (lt_w16 (w32l dw1) (w32l dw2))). (* operatore ≤ *) -ndefinition le_w32 ≝ λdw1,dw2:word32.(eq_w32 dw1 dw2) ⊕ (lt_w32 dw1 dw2). +ndefinition le_w32 ≝ +λdw1,dw2:word32. + (lt_w16 (w32h dw1) (w32h dw2)) ⊕ + ((eq_w16 (w32h dw1) (w32h dw2)) ⊗ (le_w16 (w32l dw1) (w32l dw2))). (* operatore > *) -ndefinition gt_w32 ≝ λdw1,dw2:word32.⊖ (le_w32 dw1 dw2). +ndefinition gt_w32 ≝ +λdw1,dw2:word32. + (gt_w16 (w32h dw1) (w32h dw2)) ⊕ + ((eq_w16 (w32h dw1) (w32h dw2)) ⊗ (gt_w16 (w32l dw1) (w32l dw2))). (* operatore ≥ *) -ndefinition ge_w32 ≝ λdw1,dw2:word32.⊖ (lt_w32 dw1 dw2). +ndefinition ge_w32 ≝ +λdw1,dw2:word32. + (gt_w16 (w32h dw1) (w32h dw2)) ⊕ + ((eq_w16 (w32h dw1) (w32h dw2)) ⊗ (ge_w16 (w32l dw1) (w32l dw2))). (* operatore and *) ndefinition and_w32 ≝ @@ -224,11 +231,11 @@ 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〉 nat15) 〈〈x8,x0〉:〈x0,x0〉〉 〈〈x0,x0〉:〈x0,x0〉〉 nat15 ]]. (* operatore x in [inf,sup] *) ndefinition inrange_w32 ≝ -λx,inf,sup:word32.(le_w32 inf sup) ⊗ (ge_w32 x inf) ⊗ (le_w32 x sup). +λx,inf,sup:word32.(le_w32 inf x) ⊗ (le_w32 x sup). (* iteratore sulle word *) ndefinition forall_w32 ≝