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Programmation Fonctionnelle
LIFPF
Commits
c1c0545e
Commit
c1c0545e
authored
1 year ago
by
COQUERY EMMANUEL
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Corrigé TP8
parent
0dfeef26
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README.md
+22
-22
22 additions, 22 deletions
README.md
tp/tp8.ml
+126
-0
126 additions, 0 deletions
tp/tp8.ml
tp/tp8b.ml
+127
-0
127 additions, 0 deletions
tp/tp8b.ml
with
275 additions
and
22 deletions
README.md
+
22
−
22
View file @
c1c0545e
...
...
@@ -6,28 +6,28 @@
-
[
Rappels git et gitlab
](
gitlab.md
)
-
[
Questions sur le cours
](
https://forge.univ-lyon1.fr/programmation-fonctionnelle/lifpf/-/issues/?sort=updated_desc&state=all&label_name%5B%5D=Question
)
| jour | heure | type | supports / remarques |
| ----- | ------------- | ------------- | ----------------------------------------------------------------------------------------- |
| 16/01 | 8h | CM |
[
Diapositives
](
cm/lifpf-cm1.pdf
)
|
| | 9h45 | TD |
[
Sujet
](
td/lifpf-td1-enonce.pdf
)
,
[
corrigé
](
td/lifpf-td1-correction.pdf
)
|
| 23/01 | 8h | CM |
[
Diapositives
](
cm/lifpf-cm2.pdf
)
,
[
Script démos
](
cm/cm2-demo.md
)
|
| | 9h45 ou 11h30 | TP |
[
Sujet
](
tp/tp1.md
)
,
[
corrigé
](
tp/tp1.ml
)
<br>
Groupe de TP, horaire et salle sur [tomuss]
|
| 30/01 | 8h | TD + QCM |
[
Sujet
](
td/lifpf-td2-enonce.pdf
)
,
[
corrigé
](
td/lifpf-td2-correction.pdf
)
|
| | 9h45 ou 11h30 | TP |
[
Sujet
](
tp/tp2.md
)
,
[
corrigé
](
tp/tp2.ml
)
<br>
Groupe de TP, horaire et salle sur [tomuss]
|
| 20/02 | 8h | CM |
[
Diapositives
](
cm/lifpf-cm3.pdf
)
|
| | 9h45 ou 11h30 | TP |
[
Sujet
](
tp/tp3.md
)
,
[
corrigé
](
tp/tp3.ml
)
|
| 27/02 | 8h | TD + QCM |
[
Sujet
](
td/lifpf-td3-enonce.pdf
)
,
[
corrigé
](
td/lifpf-td3-correction.pdf
)
|
| | 9h45 ou 11h30 | TP |
[
Sujet
](
tp/tp4.md
)
,
[
corrigé
](
tp/tp4.ml
)
|
| 06/03 | 8h | CM |
[
Diapositives
](
cm/lifpf-cm4.pdf
)
|
| | 9h45 | TD + QCM |
[
Sujet
](
td/lifpf-td4-enonce.pdf
)
,
[
corrigé
](
td/lifpf-td4-correction.pdf
)
|
| 13/03 | 8h | CM |
[
Diapositives
](
cm/lifpf-cm5.pdf
)
|
| | 9h45 ou 11h30 | TP |
[
Sujet
](
tp/tp5.md
)
,
[
corrigé de l'exercice 1
](
tp/tp5.ml
)
|
| 20/03 | 8h | TD + QCM |
[
Sujet
](
td/lifpf-td5-enonce.pdf
)
,
[
corrigé
](
td/lifpf-td5-correction.pdf
)
|
| | 9h45 ou 11h30 | TP |
[
Sujet
](
tp/tp6.md
)
, corrigés dans les TD/TPs référencés dans le sujet |
| 27/03 | 9h45 ou 11h15 | TP |
[
Sujet
](
tp/tp7.md
)
,
[
corrigé
](
tp/tp7.zip
)
|
| 03/04 | 8h | CM |
[
Diapositives
](
cm/lifpf-cm6.pdf
)
,
[
code
](
cm/cm6-code.ml
)
|
| | 9h45 | TD + Contrôle |
[
Sujet
](
td/lifpf-td6-enonce.pdf
)
|
| 24/04 | 9h45 ou 11h15 | TP |
[
Sujet
](
tp/tp8.md
)
<br>
Horaires et groupes sur [tomuss]
|
| jour | heure | type | supports / remarques
|
| ----- | ------------- | ------------- | -----------------------------------------------------------------------------------------
---------------------
|
| 16/01 | 8h | CM |
[
Diapositives
](
cm/lifpf-cm1.pdf
)
|
| | 9h45 | TD |
[
Sujet
](
td/lifpf-td1-enonce.pdf
)
,
[
corrigé
](
td/lifpf-td1-correction.pdf
)
|
| 23/01 | 8h | CM |
[
Diapositives
](
cm/lifpf-cm2.pdf
)
,
[
Script démos
](
cm/cm2-demo.md
)
|
| | 9h45 ou 11h30 | TP |
[
Sujet
](
tp/tp1.md
)
,
[
corrigé
](
tp/tp1.ml
)
|
| 30/01 | 8h | TD + QCM |
[
Sujet
](
td/lifpf-td2-enonce.pdf
)
,
[
corrigé
](
td/lifpf-td2-correction.pdf
)
|
| | 9h45 ou 11h30 | TP |
[
Sujet
](
tp/tp2.md
)
,
[
corrigé
](
tp/tp2.ml
)
|
| 20/02 | 8h | CM |
[
Diapositives
](
cm/lifpf-cm3.pdf
)
|
| | 9h45 ou 11h30 | TP |
[
Sujet
](
tp/tp3.md
)
,
[
corrigé
](
tp/tp3.ml
)
|
| 27/02 | 8h | TD + QCM |
[
Sujet
](
td/lifpf-td3-enonce.pdf
)
,
[
corrigé
](
td/lifpf-td3-correction.pdf
)
|
| | 9h45 ou 11h30 | TP |
[
Sujet
](
tp/tp4.md
)
,
[
corrigé
](
tp/tp4.ml
)
|
| 06/03 | 8h | CM |
[
Diapositives
](
cm/lifpf-cm4.pdf
)
|
| | 9h45 | TD + QCM |
[
Sujet
](
td/lifpf-td4-enonce.pdf
)
,
[
corrigé
](
td/lifpf-td4-correction.pdf
)
|
| 13/03 | 8h | CM |
[
Diapositives
](
cm/lifpf-cm5.pdf
)
|
| | 9h45 ou 11h30 | TP |
[
Sujet
](
tp/tp5.md
)
,
[
corrigé de l'exercice 1
](
tp/tp5.ml
)
|
| 20/03 | 8h | TD + QCM |
[
Sujet
](
td/lifpf-td5-enonce.pdf
)
,
[
corrigé
](
td/lifpf-td5-correction.pdf
)
|
| | 9h45 ou 11h30 | TP |
[
Sujet
](
tp/tp6.md
)
, corrigés dans les TD/TPs référencés dans le sujet
|
| 27/03 | 9h45 ou 11h15 | TP |
[
Sujet
](
tp/tp7.md
)
,
[
corrigé
](
tp/tp7.zip
)
|
| 03/04 | 8h | CM |
[
Diapositives
](
cm/lifpf-cm6.pdf
)
,
[
code
](
cm/cm6-code.ml
)
|
| | 9h45 | TD + Contrôle |
[
Sujet
](
td/lifpf-td6-enonce.pdf
)
|
| 24/04 | 9h45 ou 11h15 | TP |
[
Sujet
](
tp/tp8.md
)
, corrigé calculette programmable:
[
sans
](
tp/tp8.ml
)
ou
[
avec
](
tp/tp8b.ml
)
fonctions natives
|
### Évaluation
...
...
This diff is collapsed.
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tp/tp8.ml
0 → 100644
+
126
−
0
View file @
c1c0545e
(**********************************************************************)
(* Calculatrice programmable *)
(**********************************************************************)
(**
Type représentant les opérateurs binaires.
*)
type
binop
=
Plus
|
Moins
|
Mult
|
Div
(**
Expressions arithmétiques + let + fun + app
*)
type
expr
=
|
Cst
of
int
|
Binop
of
binop
*
expr
*
expr
|
Var
of
string
|
Let
of
string
*
expr
*
expr
|
Fun
of
string
*
expr
|
App
of
expr
*
expr
(** affichage **)
let
rec
string_of_expr
(
e
:
expr
)
:
string
=
let
string_of_binop
(
b
:
binop
)
=
match
b
with
|
Plus
->
" + "
|
Moins
->
" - "
|
Mult
->
" * "
|
Div
->
" / "
in
match
e
with
|
Cst
n
->
string_of_int
n
|
Binop
(
op
,
l
,
r
)
->
"("
^
string_of_expr
l
^
string_of_binop
op
^
string_of_expr
r
^
")"
|
Var
x
->
x
|
Let
(
v
,
e1
,
e2
)
->
"(let "
^
v
^
" = "
^
string_of_expr
e1
^
" in "
^
string_of_expr
e2
^
")"
|
Fun
(
x
,
e
)
->
"(fun "
^
x
^
" -> "
^
string_of_expr
e
^
")"
|
App
(
e1
,
e2
)
->
"("
^
string_of_expr
e1
^
" "
^
string_of_expr
e2
^
")"
(** Erreurs *)
type
eval_err
=
DivZero
|
VarNonDef
|
PasUneFonction
|
PasUnInt
(** Résultats: int ou erreur ou fermeture*)
type
resultat
=
|
Int
of
int
|
Err
of
eval_err
|
Fermeture
of
string
*
expr
*
(
string
*
resultat
)
list
(**
Évalue une expression dans un environnement
*)
let
rec
eval_expr
(
e
:
expr
)
(
env
:
(
string
*
resultat
)
list
)
:
resultat
=
match
e
with
|
Cst
n
->
Int
n
|
Binop
(
op
,
e1
,
e2
)
->
(
match
(
eval_expr
e1
env
,
eval_expr
e2
env
)
with
|
Int
v1
,
Int
v2
->
(
match
op
with
|
Plus
->
Int
(
v1
+
v2
)
|
Moins
->
Int
(
v1
-
v2
)
|
Mult
->
Int
(
v1
*
v2
)
|
Div
->
if
v2
=
0
then
Err
DivZero
else
Int
(
v1
/
v2
))
|
Fermeture
_
,
_
->
Err
PasUnInt
|
_
,
Fermeture
_
->
Err
PasUnInt
|
Err
e
,
_
->
Err
e
|
_
,
Err
e
->
Err
e
)
|
Var
x
->
(
match
List
.
assoc_opt
x
env
with
|
None
->
Err
VarNonDef
|
Some
r
->
r
)
|
Let
(
x
,
e1
,
e2
)
->
(
match
eval_expr
e1
env
with
|
Err
e
->
Err
e
|
v1
->
eval_expr
e2
((
x
,
v1
)
::
env
))
|
Fun
(
x
,
e
)
->
Fermeture
(
x
,
e
,
env
)
|
App
(
f
,
a
)
->
(
match
eval_expr
f
env
with
|
Err
e
->
Err
e
|
Int
_
->
Err
PasUneFonction
|
Fermeture
(
x
,
e
,
env_f
)
->
(
match
eval_expr
a
env
with
|
Err
e
->
Err
e
|
v
->
eval_expr
e
((
x
,
v
)
::
env_f
)))
let
e1
=
Cst
3
let
e2
=
Binop
(
Plus
,
Cst
3
,
Cst
5
)
let
e3
=
Binop
(
Div
,
Cst
3
,
Cst
0
)
let
e4
=
Let
(
"a"
,
Cst
3
,
Binop
(
Moins
,
Var
"a"
,
Cst
3
))
let
e5
=
Let
(
"a"
,
Cst
3
,
Var
"b"
)
let
e6
=
Let
(
"f1"
,
Fun
(
"x"
,
Binop
(
Plus
,
Var
"x"
,
Cst
3
))
,
Let
(
"f2"
,
Fun
(
"y"
,
Binop
(
Mult
,
App
(
Var
"f1"
,
Var
"y"
)
,
Cst
5
))
,
App
(
Var
"f2"
,
Cst
2
)
)
)
let
e7
=
Let
(
"f"
,
Fun
(
"x"
,
Fun
(
"y"
,
Binop
(
Mult
,
Var
"x"
,
Binop
(
Plus
,
Var
"y"
,
Cst
3
))
)
)
,
App
(
App
(
Var
"f"
,
Cst
5
)
,
Cst
3
)
)
;;
assert
(
eval_expr
e1
[]
=
Int
3
);;
assert
(
eval_expr
e2
[]
=
Int
8
);;
assert
(
eval_expr
e3
[]
=
Err
DivZero
);;
assert
(
eval_expr
e4
[]
=
Int
0
);;
assert
(
eval_expr
e5
[]
=
Err
VarNonDef
);;
assert
(
eval_expr
e5
[
(
"b"
,
Int
11
)
]
=
Int
11
);;
assert
(
eval_expr
e6
[]
=
Int
25
);;
assert
(
eval_expr
e7
[]
=
Int
30
)
(**********************************************************************)
This diff is collapsed.
Click to expand it.
tp/tp8b.ml
0 → 100644
+
127
−
0
View file @
c1c0545e
(**********************************************************************)
(* Calculatrice programmable, pour aller plus loin *)
(**********************************************************************)
(**
Expressions arithmétiques + let + fun + app
*)
type
expr
=
|
Cst
of
int
|
Var
of
string
|
Let
of
string
*
expr
*
expr
|
Fun
of
string
*
expr
|
App
of
expr
*
expr
(** affichage **)
let
rec
string_of_expr
(
e
:
expr
)
:
string
=
match
e
with
|
Cst
n
->
string_of_int
n
|
Var
x
->
x
|
Let
(
v
,
e1
,
e2
)
->
"(let "
^
v
^
" = "
^
string_of_expr
e1
^
" in "
^
string_of_expr
e2
^
")"
|
Fun
(
x
,
e
)
->
"(fun "
^
x
^
" -> "
^
string_of_expr
e
^
")"
|
App
(
e1
,
e2
)
->
"("
^
string_of_expr
e1
^
" "
^
string_of_expr
e2
^
")"
(** Erreurs *)
type
eval_err
=
DivZero
|
VarNonDef
|
PasUneFonction
|
PasUnInt
(** Résultats: int ou erreur ou fermeture*)
type
resultat
=
|
Int
of
int
|
Err
of
eval_err
|
Fermeture
of
string
*
expr
*
(
string
*
resultat
)
list
|
Native
of
(
resultat
->
resultat
)
(**
Évalue une expression dans un environnement
*)
let
rec
eval_expr
(
e
:
expr
)
(
env
:
(
string
*
resultat
)
list
)
:
resultat
=
match
e
with
|
Cst
n
->
Int
n
|
Var
x
->
(
match
List
.
assoc_opt
x
env
with
|
None
->
Err
VarNonDef
|
Some
r
->
r
)
|
Let
(
x
,
e1
,
e2
)
->
(
match
eval_expr
e1
env
with
|
Err
e
->
Err
e
|
v1
->
eval_expr
e2
((
x
,
v1
)
::
env
))
|
Fun
(
x
,
e
)
->
Fermeture
(
x
,
e
,
env
)
|
App
(
f
,
a
)
->
(
match
eval_expr
f
env
with
|
Err
e
->
Err
e
|
Int
_
->
Err
PasUneFonction
|
Fermeture
(
x
,
e
,
env_f
)
->
(
match
eval_expr
a
env
with
|
Err
e
->
Err
e
|
v
->
eval_expr
e
((
x
,
v
)
::
env_f
))
|
Native
f
->
f
(
eval_expr
a
env
))
let
native_binop_res
(
f
:
int
->
int
->
resultat
)
:
resultat
=
Native
(
fun
(
a
:
resultat
)
->
Native
(
fun
(
b
:
resultat
)
->
match
(
a
,
b
)
with
|
Err
e
,
_
->
Err
e
|
_
,
Err
e
->
Err
e
|
Int
va
,
Int
vb
->
f
va
vb
|
_
,
_
->
Err
PasUnInt
))
let
native_binop
(
f
:
int
->
int
->
int
)
:
resultat
=
native_binop_res
(
fun
a
b
->
Int
(
f
a
b
))
let
builtins
=
[
(
"+"
,
native_binop
(
+
));
(
"-"
,
native_binop
(
-
));
(
"*"
,
native_binop
(
*
));
(
"/"
,
native_binop_res
(
fun
x
y
->
if
y
=
0
then
Err
DivZero
else
Int
(
x
/
y
))
);
]
let
e1
=
Cst
3
let
e2
=
App
(
App
(
Var
"+"
,
Cst
3
)
,
Cst
5
)
let
e3
=
App
(
App
(
Var
"/"
,
Cst
3
)
,
Cst
0
)
let
e4
=
Let
(
"a"
,
Cst
3
,
App
(
App
(
Var
"-"
,
Var
"a"
)
,
Cst
3
))
let
e5
=
Let
(
"a"
,
Cst
3
,
Var
"b"
)
let
e6
=
Let
(
"f1"
,
Fun
(
"x"
,
App
(
App
(
Var
"+"
,
Var
"x"
)
,
Cst
3
))
,
Let
(
"f2"
,
Fun
(
"y"
,
App
(
App
(
Var
"*"
,
App
(
Var
"f1"
,
Var
"y"
))
,
Cst
5
)
)
,
App
(
Var
"f2"
,
Cst
2
)
)
)
let
e7
=
Let
(
"f"
,
Fun
(
"x"
,
Fun
(
"y"
,
App
(
App
(
Var
"*"
,
Var
"x"
)
,
App
(
App
(
Var
"+"
,
Var
"y"
)
,
Cst
3
)
)
)
)
,
App
(
App
(
Var
"f"
,
Cst
5
)
,
Cst
3
)
)
;;
assert
(
eval_expr
e1
builtins
=
Int
3
);;
assert
(
eval_expr
e2
builtins
=
Int
8
);;
assert
(
eval_expr
e3
builtins
=
Err
DivZero
);;
assert
(
eval_expr
e4
builtins
=
Int
0
);;
assert
(
eval_expr
e5
builtins
=
Err
VarNonDef
);;
assert
(
eval_expr
e5
((
"b"
,
Int
11
)
::
builtins
)
=
Int
11
);;
assert
(
eval_expr
e6
builtins
=
Int
25
);;
assert
(
eval_expr
e7
builtins
=
Int
30
)
(**********************************************************************)
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