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philippe.montando
maths_optimisation
Commits
89796ed4
Commit
89796ed4
authored
3 years ago
by
sgegito
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adding this commit just for safety before deleting old func
parent
abd4839b
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2 changed files
opti.c
+88
-24
88 additions, 24 deletions
opti.c
opti.h
+6
-2
6 additions, 2 deletions
opti.h
with
94 additions
and
26 deletions
opti.c
+
88
−
24
View file @
89796ed4
#include
"opti.h"
int
LINE_POINTS
=
1000000
;
int
CLOUD_POINTS
=
10000
;
int
CLOUD_POINTS
=
3
;
double
X_VALUE
=
0
.
000001
;
double
RANDOMNESS
=
0
.
01
;
// Learning rate
double
LR
=
0
.
0001
;
double
ER
=
0
.
00001
;
double
ER
=
0
.
00000
00001
;
// y(x)=ax+b
...
...
@@ -79,11 +79,11 @@ Point* cloud2(double *a, double *b){
return
my_cloud
;
}
double
random_point_in_cloud2
(
Point
*
my_cloud
){
double
random_point_in_cloud2
_5
(
Point
*
my_cloud
){
double
v
=
double_random
(
0
,
1
);
for
(
int
i
=
0
;
i
<
CLOUD_POINTS
;
i
++
){
if
(
v
==
my_cloud
[
i
].
x
){
v
=
random_point_in_cloud2
(
my_cloud
);
v
=
random_point_in_cloud2
_5
(
my_cloud
);
}
}
return
v
;
...
...
@@ -93,7 +93,7 @@ Point* cloud2_5(double *a, double *b){
Point
*
my_cloud
=
(
Point
*
)
malloc
(
sizeof
(
Point
)
*
CLOUD_POINTS
);
for
(
int
i
=
0
;
i
<
CLOUD_POINTS
;
i
++
){
Point
chosen_point
;
chosen_point
.
x
=
random_point_in_cloud2
(
my_cloud
);
chosen_point
.
x
=
random_point_in_cloud2
_5
(
my_cloud
);
double
rj
=
double_random
(
-
RANDOMNESS
,
RANDOMNESS
);
chosen_point
.
y
=
(
*
a
*
chosen_point
.
x
)
+*
b
+
rj
;
my_cloud
[
i
].
x
=
chosen_point
.
x
;
...
...
@@ -115,6 +115,17 @@ Point* cloud3(double *a, double *b){
return
my_cloud
;
}
Point
*
cloud_test
(){
Point
*
my_cloud
=
(
Point
*
)
malloc
(
sizeof
(
Point
)
*
3
);
my_cloud
[
0
].
x
=
0
.
51
;
my_cloud
[
0
].
y
=
0
.
24
;
my_cloud
[
1
].
x
=
0
.
98
;
my_cloud
[
1
].
y
=
0
.
867
;
my_cloud
[
2
].
x
=
0
.
1
;
my_cloud
[
2
].
y
=
0
.
0042
;
return
my_cloud
;
}
// Méthode des moindres carrés
double
*
averages
(
Point
*
my_cloud
,
int
cloud_size
){
//double* avg = (double*)malloc(sizeof(double)*4);
...
...
@@ -177,10 +188,44 @@ double gradient(double *a, double *b, Point* my_cloud, int cloud_size, bool is_a
return
my_gradient
;
}
// La nouvelle fonction gradient_descent 2 en 1, uniquement chez Lidl
// Formule fausse et pas fait la norme donc bug. A refaire demain.
void
gradient_descent_v2
(
double
*
a
,
double
*
b
,
Point
*
my_cloud
,
double
current_cost
){
double
gr_A
,
gr_B
,
my_new_a
,
my_new_b
;
/*void gradient_one(double* a, double* b, Point* my_cloud, double* current_cost){
double gr_A,gr_B;
double* my_new_a,my_new_b;
gr_A = gradient(a, b, my_cloud, CLOUD_POINTS, true);
gr_B = gradient(a, b, my_cloud, CLOUD_POINTS, false);
// Les 2 lignes ci-dessous pourraient être condensées, mais c'est pour rendre le code
// plus explicite que je sépare volontairement les étapes.
my_new_a = (*a) - (LR * gr_A);
//printf("\nNew A : %f\n", my_new_a);
my_new_b = (*b) - (LR * gr_B);
//printf("New B : %f\n", my_new_b);
*current_cost = cost2(a,b,my_new_a,my_new_b);
//printf("\nCost : %f\n", current_cost);
*a = my_new_a; *b = my_new_b;
}
void gradient_descent_v3(double* a, double* b, Point* my_cloud){
//double current_cost = 10.0;
printf("\navant\n");
gradient_one(a, b,my_cloud, ¤t_cost);
printf("\naprès\n");
int nb_it = 1;
//double* a_n_b = (double*)malloc(sizeof(double)*2);
while(current_cost>=ER){
gradient_one(a, b,my_cloud, ¤t_cost);
nb_it++;
}
printf("\nCost : %f || Nombre d'itérations : %d\n ", current_cost, nb_it);
//a_n_b[0]=a; a_n_b[1]=b;
//return a_n_b;
}*/
void
gradient_descent_v4
(
double
*
a
,
double
*
b
,
Point
*
my_cloud
){
double
gr_A
,
gr_B
,
my_new_a
,
my_new_b
,
current_cost
;
double
*
zero
;
double
z
=
0
.
0
;
zero
=
&
z
;
current_cost
=
cost2
(
zero
,
zero
,
a
,
b
);
int
nb_it
=
0
;
//double* a_n_b = (double*)malloc(sizeof(double)*2);
while
(
current_cost
>=
ER
){
...
...
@@ -192,7 +237,7 @@ void gradient_descent_v2(double* a, double* b, Point* my_cloud, double current_c
//printf("\nNew A : %f\n", my_new_a);
my_new_b
=
(
*
b
)
-
(
LR
*
gr_B
);
//printf("New B : %f\n", my_new_b);
current_cost
=
cost2
(
a
,
b
,
my_new_a
,
my_new_b
);
current_cost
=
cost2
(
a
,
b
,
&
my_new_a
,
&
my_new_b
);
//printf("\nCost : %f\n", current_cost);
*
a
=
my_new_a
;
*
b
=
my_new_b
;
//current_cost = cost(a, b, my_cloud, CLOUD_POINTS);
...
...
@@ -203,17 +248,33 @@ void gradient_descent_v2(double* a, double* b, Point* my_cloud, double current_c
//return a_n_b;
}
double
cost
(
double
*
a
,
double
*
b
,
Point
*
my_cloud
,
int
cloud_size
){
double
my_error
;
for
(
int
i
=
0
;
i
<
cloud_size
;
i
++
){
//E(a,b)= somme des (aXi+b+Yi)^2
my_error
+=
popow
((((
*
a
)
*
my_cloud
[
i
].
x
)
+
(
*
b
)
+
my_cloud
[
i
].
y
),
2
);
// La nouvelle fonction gradient_descent 2 en 1, uniquement chez Lidl
// Formule fausse et pas fait la norme donc bug. A refaire demain.
void
gradient_descent_v2
(
double
*
a
,
double
*
b
,
Point
*
my_cloud
,
double
current_cost
){
double
gr_A
,
gr_B
,
my_new_a
,
my_new_b
;
int
nb_it
=
0
;
//double* a_n_b = (double*)malloc(sizeof(double)*2);
while
(
current_cost
>=
ER
){
gr_A
=
gradient
(
a
,
b
,
my_cloud
,
CLOUD_POINTS
,
true
);
gr_B
=
gradient
(
a
,
b
,
my_cloud
,
CLOUD_POINTS
,
false
);
// Les 2 lignes ci-dessous pourraient être condensées, mais c'est pour rendre le code
// plus explicite que je sépare volontairement les étapes.
my_new_a
=
(
*
a
)
-
(
LR
*
gr_A
);
//printf("\nNew A : %f\n", my_new_a);
my_new_b
=
(
*
b
)
-
(
LR
*
gr_B
);
//printf("New B : %f\n", my_new_b);
current_cost
=
cost2
(
a
,
b
,
&
my_new_a
,
&
my_new_b
);
//printf("\nCost : %f\n", current_cost);
*
a
=
my_new_a
;
*
b
=
my_new_b
;
//current_cost = cost(a, b, my_cloud, CLOUD_POINTS);
nb_it
++
;
}
return
my_error
;
printf
(
"
\n
Cost : %f || Nombre d'itérations : %d
\n
"
,
current_cost
,
nb_it
);
//a_n_b[0]=a; a_n_b[1]=b;
//return a_n_b;
}
double
cost2
(
double
*
a
,
double
*
b
,
double
new_a
,
double
new_b
){
return
sqrt
(
popow
((
new_a
-
*
a
),
2
)
+
popow
((
new_b
-
*
b
),
2
));
double
cost2
(
double
*
a
,
double
*
b
,
double
*
new_a
,
double
*
new_b
){
return
sqrt
(
popow
((
*
new_a
-
*
a
),
2
)
+
popow
((
*
new_b
-
*
b
),
2
));
}
int
main
(
void
){
...
...
@@ -232,14 +293,17 @@ int main (void){
destroy_vector(&X);
*/
//Point* first_line = line(7.0, 5.5);
double
a_init
=
0
.
556
;
double
b_init
=
0
.
88732
;
Point
*
fluffy
=
cloud2_5
(
&
a_init
,
&
b_init
);
double
a_init
=
0
.
98902527076
;
double
b_init
=
-
0
.
1537833935
;
//Point* fluffy = cloud2_5(&a_init, &b_init);
Point
*
fluffy
=
cloud_test
();
printf
(
"
\n
a initial = %f || b initial = %f
\n
"
,
a_init
,
b_init
);
double
a
=
double_random
(
-
100
,
100
);
double
b
=
double_random
(
-
100
,
100
);
double
initial_cost
=
cost
(
&
a
,
&
b
,
fluffy
,
CLOUD_POINTS
);
gradient_descent_v2
(
&
a
,
&
b
,
fluffy
,
initial_cost
);
//double initial_cost = cost2(&a, &b,0,0);
//gradient_descent_v2(&a, &b, fluffy, initial_cost);
double
initial_costs
=
0
;
gradient_descent_v4
(
&
a
,
&
b
,
fluffy
);
printf
(
"
\n
a trouvé = %f || b trouvé = %f
\n
"
,
a
,
b
);
printf
(
"
\n
done
\n
"
);
free
(
fluffy
);
...
...
This diff is collapsed.
Click to expand it.
opti.h
+
6
−
2
View file @
89796ed4
...
...
@@ -24,12 +24,16 @@ Point* cloud1(Point* a_line);
Point
*
cloud2
(
double
*
a
,
double
*
b
);
double
random_point_in_cloud2
(
Point
*
my_cloud
);
Point
*
cloud3
(
double
*
a
,
double
*
b
);
Point
*
cloud_test
();
double
*
averages
(
Point
*
my_cloud
,
int
cloud_size
);
double
*
a_and_b
(
double
*
my_averages
);
double
*
sums
(
Point
*
my_cloud
,
int
cloud_size
);
double
gradient
(
double
*
a
,
double
*
b
,
Point
*
my_cloud
,
int
cloud_size
,
bool
is_a
);
void
gradient_descent_v2
(
double
*
a
,
double
*
b
,
Point
*
my_cloud
,
double
cost
);
double
cost
(
double
*
a
,
double
*
b
,
Point
*
my_cloud
,
int
cloud_size
);
double
cost2
(
double
*
a
,
double
*
b
,
double
new_a
,
double
new_b
);
double
cost
(
double
*
a
,
double
*
b
,
Point
*
my_cloud
);
void
gradient_descent_v4
(
double
*
a
,
double
*
b
,
Point
*
my_cloud
);
/*void gradient_one(double* a, double* b, Point* my_cloud, double* current_cost);
void gradient_descent_v3(double* a, double* b, Point* my_cloud);*/
double
cost2
(
double
*
a
,
double
*
b
,
double
*
new_a
,
double
*
new_b
);
#endif
\ No newline at end of file
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