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Fernando K
maratona
Commits
f66bb900
Commit
f66bb900
authored
2 years ago
by
Fernando K
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Remove arquivo geometry coberto por outros
parent
dac6b0ab
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fontes/geometry.h
+0
-81
0 additions, 81 deletions
fontes/geometry.h
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0 additions
and
81 deletions
fontes/geometry.h
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dac6b0ab
#define aa first
#define bb second
#define px real()
#define py imag()
typedef
complex
<
double
>
pt
;
typedef
pair
<
pt
,
pt
>
seg
;
double
dot
(
pt
a
,
pt
b
)
{
return
(
conj
(
a
)
*
b
).
px
;
}
double
cross
(
pt
a
,
pt
b
)
{
return
(
conj
(
a
)
*
b
).
py
;
}
pt
vec
(
pt
a
,
pt
b
)
{
return
b
-
a
;
}
pt
vec
(
seg
s
)
{
return
s
.
bb
-
s
.
aa
;
}
bool
on_segment
(
seg
s
,
pt
p
)
{
return
cross
(
s
.
aa
-
p
,
s
.
bb
-
p
)
==
0
&&
dot
(
s
.
aa
-
p
,
s
.
bb
-
p
)
<=
0
;
}
int
sgn
(
double
v
)
{
return
(
v
>
EPS
)
-
(
v
<
EPS
);
}
int
ord_ornt
(
seg
s
,
pt
c
)
{
return
sgn
(
cross
(
vec
(
s
),
vec
(
s
.
bb
,
c
)));
}
bool
intersect_seg
(
seg
s
,
seg
t
)
{
int
o1
=
ord_ornt
(
s
,
t
.
aa
),
o2
=
ord_ornt
(
s
,
t
.
bb
);
int
o3
=
ord_ornt
(
t
,
s
.
aa
),
o4
=
ord_ornt
(
t
,
s
.
bb
);
return
(
(
o1
!=
o2
&&
o3
!=
o4
)
||
(
o1
==
0
&&
on_segment
(
s
,
t
.
aa
))
||
(
o2
==
0
&&
on_segment
(
s
,
t
.
bb
))
||
(
o3
==
0
&&
on_segment
(
t
,
s
.
aa
))
||
(
o4
==
0
&&
on_segment
(
t
,
s
.
bb
)));
}
// precondition is that they aren't collinear
pt
point_in_line_line
(
seg
a
,
seg
b
)
{
return
a
.
aa
+
vec
(
a
)
*
(
cross
(
vec
(
a
.
aa
,
b
.
aa
),
vec
(
b
))
/
cross
(
vec
(
a
),
vec
(
b
)));
}
pt
point_in_seg
(
pt
p
,
seg
s
)
{
if
(
s
.
aa
==
s
.
bb
)
{
return
s
.
aa
;
}
double
l
=
dot
(
vec
(
s
.
aa
,
p
),
vec
(
s
))
/
norm
(
vec
(
s
));
if
(
l
<
0
.
0
)
{
return
s
.
aa
;
}
if
(
l
>
1
.
0
)
{
return
s
.
bb
;
}
return
s
.
aa
+
l
*
vec
(
s
);
}
double
distance_seg_point
(
pt
p
,
seg
s
)
{
return
abs
(
p
-
point_in_seg
(
p
,
s
));
}
double
distance_seg_seg
(
seg
s
,
seg
t
)
{
if
(
intersect_seg
(
s
,
t
))
{
return
0
;
}
double
v1
=
distance_seg_point
(
s
.
aa
,
t
);
double
v2
=
distance_seg_point
(
s
.
bb
,
t
);
double
v3
=
distance_seg_point
(
t
.
aa
,
s
);
double
v4
=
distance_seg_point
(
t
.
bb
,
s
);
return
min
({
v1
,
v2
,
v3
,
v4
});
}
bool
is_inside_poly
(
vector
<
pt
>&
ps
,
pt
p
,
bool
strict
)
{
int
n
=
ps
.
size
();
if
(
n
<
3
)
{
return
false
;
}
int
count
=
0
;
for
(
int
i
=
0
;
i
<
n
;
i
++
)
{
int
j
=
(
i
+
1
)
%
n
;
if
(
on_segment
(
seg
(
ps
[
i
],
ps
[
j
]),
p
))
{
return
strict
;
}
count
^=
((
p
.
py
<
ps
[
i
].
py
)
-
(
p
.
py
<
ps
[
j
].
py
))
*
ord_ornt
(
seg
(
ps
[
i
],
ps
[
j
]),
p
)
>
0
;
}
return
count
;
}
double
polygon_area
(
vector
<
pt
>&
ps
)
{
double
area
=
cross
(
ps
[
ps
.
size
()
-
1
],
ps
[
0
]);
for
(
int
i
=
1
;
i
<
ps
.
size
();
i
++
)
{
area
+=
cross
(
ps
[
i
-
1
],
ps
[
i
]);
}
return
area
/
2
.
0
;
}
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