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940 Annexe A : Instructions et fonctions
Les expressions comme (x+y+z) et (xì yì z) sont
représentées en interne sous la forme (x+y)+z et
(xì y)ì z. Ceci affecte les valeurs retournées pour
le premier et le deuxième argument. Il existe des
raisons techniques pour lesquelles
part(x+y+z,1)
retourne y+x au lieu de x+y.
part(x+y+z) ¸ 2
part(x+y+z,2) ¸ z
part(x+y+z,1) ¸ y+x
De même, xù yù z est représentée en interne sous
la forme (xù y)ù z. Là encore, il existe des raisons
techniques pour lesquelles le premier le premier
argument retourné est y*x et non x*y.
part(xù yù z) ¸ 2
part(xù yù z,2) ¸ z
part(xù yù z,1) ¸ yøx
Lorsque vous extrayez des sous-expressions d’une
matrice, n’oubliez pas que les matrices sont
stockées sous forme de listes de listes, comme
illustré par l’exemple sur la droite.
part([a,b,c;x,y,z],0) ¸ "{"
part([a,b,c;x,y,z]) ¸ 2
part([a,b,c;x,y,z],2)! temp ¸
{x y z}
part(temp,0) ¸ "{"
part(temp) ¸ 3
part(temp,3) ¸ z
delVar temp ¸ Done
L'exemple de fonction ci-contre utilise getType()
et part() afin de définir une fonction de
dérivation formelle. Cette fonction est incomplète
mais peut être enrichie pour dériver d'autres
fonctions comme par exemples les fonctions de
Bessel.
:d(y,x)
:Func
:Local f
:If getType(y)="VAR"
: Return when(y=x,1,0,0)
:If part(y)=0
: Return 0 ¦ y=p,ˆ,
i
,numbers
:part(y,0)! f
:If f="L" ¦ if negate
: Return ë d(part(y,1),x)
:If f="
" ¦ if minus
: Return d(part(y,1),x)
ì d(part(y,2),x)
:If f="+"
: Return d(part(y,1),x)
+d(part(y,2),x)
:If f="ù "
: Return part(y,1)ù d(part(y,2),x)
+part(y,2)ù d(part(y,1),x)
:If f="{"
: Return seq(d(part(y,k),x),
k,1,part(y))
:Return undef
:EndFunc
PassErr Traitement des erreurs. Voir chap. VII et chap. 34, manuel CD. PassErr
Pause Instruction d'entrée/sortie. Voir chap. VII et chap. 33, manuel CD. Pause
Structure de contrôle. Voir chap. VII et chap. 34, manuel CD.
939


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