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stratum0
mensactrl
Commits
c9ec20f2
Commit
c9ec20f2
authored
10 years ago
by
Raoul
Committed by
daniel
10 years ago
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Small demo showing two colliding dodecahedra.
parent
d661394c
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python/dodecahedra.py
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c9ec20f2
#!/usr/bin/env python2
# Raoul, Hackover 2014, GPL v2
import
client
import
time
import
random
from
numpy
import
sin
,
cos
,
pi
,
array
,
sqrt
,
clip
,
linspace
,
dot
from
numpy.linalg
import
norm
from
numpy
import
random
from
copy
import
deepcopy
CENX
=
client
.
WIDTH
/
2.0
CENY
=
client
.
HEIGHT
/
2.0
B
=
25
tau
=
0.8
sigma
=
1.2
xmin
=
sigma
*
B
-
2
ymin
=
tau
*
B
xmax
=
client
.
WIDTH
-
sigma
*
B
ymax
=
client
.
HEIGHT
-
tau
*
B
-
2
NT
=
10
def
cube
(
a
=
10
):
vert
=
[(
-
a
,
-
a
,
-
a
),
(
-
a
,
a
,
-
a
),
(
a
,
a
,
-
a
),
(
a
,
-
a
,
-
a
),
(
-
a
,
-
a
,
a
),
(
-
a
,
a
,
a
),
(
a
,
a
,
a
),
(
a
,
-
a
,
a
)]
return
array
(
vert
)
edge_map_cube
=
[(
0
,
1
),
(
1
,
2
),
(
2
,
3
),
(
3
,
0
),
(
4
,
5
),
(
5
,
6
),
(
6
,
7
),
(
7
,
4
),
(
0
,
4
),
(
1
,
5
),
(
2
,
6
),
(
3
,
7
)]
def
dode
(
a
=
15
):
p
=
1.618033
q
=
1.0
vert
=
[(
-
q
,
-
q
,
-
q
),
# 0
(
-
q
,
q
,
-
q
),
(
q
,
q
,
-
q
),
(
q
,
-
q
,
-
q
),
(
-
q
,
-
q
,
q
),
# 4
(
-
q
,
q
,
q
),
(
q
,
q
,
q
),
(
q
,
-
q
,
q
),
(
0
,
1
/
p
,
p
),
# 8
(
0
,
-
1
/
p
,
p
),
(
0
,
1
/
p
,
-
p
),
(
0
,
-
1
/
p
,
-
p
),
(
p
,
0
,
1
/
p
),
# 12
(
-
p
,
0
,
1
/
p
),
(
p
,
0
,
-
1
/
p
),
(
-
p
,
0
,
-
1
/
p
),
(
1
/
p
,
p
,
0
),
# 16
(
-
1
/
p
,
p
,
0
),
(
1
/
p
,
-
p
,
0
),
(
-
1
/
p
,
-
p
,
0
)]
#
# 5---------6
# / 8 /
# / 9 /
# 4---------7
# 11 12
# 17 16
# 15 19 18 14
# 1---------2
# Z / 10 /
# |Y 11 /
# 0-X-------3
#
return
a
*
array
(
vert
)
edge_map_dode
=
[(
3
,
14
),
(
2
,
14
),
(
6
,
12
),
(
7
,
12
),
(
12
,
14
),
(
0
,
15
),
(
1
,
15
),
(
4
,
13
),
(
5
,
13
),
(
13
,
15
),
(
1
,
10
),
(
2
,
10
),
(
0
,
11
),
(
3
,
11
),
(
10
,
11
),
(
4
,
9
),
(
7
,
9
),
(
5
,
8
),
(
6
,
8
),
(
9
,
8
),
(
4
,
19
),
(
0
,
19
),
(
5
,
17
),
(
1
,
17
),
(
6
,
16
),
(
2
,
16
),
(
7
,
18
),
(
3
,
18
),
(
19
,
18
),
(
17
,
16
)]
def
rotatex
(
vertl
,
phi
=
pi
/
3
):
Rx
=
array
([[
1
,
0
,
0
],
[
0
,
cos
(
phi
),
sin
(
phi
)],
[
0
,
-
sin
(
phi
),
cos
(
phi
)]])
vertl_t
=
dot
(
Rx
,
vertl
.
T
).
T
return
vertl_t
def
rotatey
(
vertl
,
phi
=
pi
/
3
):
Ry
=
array
([[
cos
(
phi
),
0
,
sin
(
phi
)],
[
0
,
1
,
0
],
[
-
sin
(
phi
),
0
,
cos
(
phi
)]])
vertl_t
=
dot
(
Ry
,
vertl
.
T
).
T
return
vertl_t
def
rotatez
(
vertl
,
phi
=
pi
/
3
):
Rz
=
array
([[
cos
(
phi
),
sin
(
phi
),
0
],
[
-
sin
(
phi
),
cos
(
phi
),
0
],
[
0
,
0
,
1
]])
vertl_t
=
dot
(
Rz
,
vertl
.
T
).
T
return
vertl_t
def
propagate
(
x
,
v
):
ti
=
x
[:]
+
v
[:]
x
[:]
=
ti
if
abs
(
ti
[
0
])
<
xmin
or
abs
(
ti
[
0
])
>
xmax
:
v
[
0
]
*=
-
1
if
abs
(
ti
[
1
])
<
ymin
or
abs
(
ti
[
1
])
>
ymax
:
v
[
1
]
*=
-
1
def
move
(
vertl
,
center
):
return
[
center
+
v
for
v
in
vertl
]
def
project
(
vertlist
):
vert_xy
=
[]
for
v
in
vertlist
:
u
=
v
[:
2
]
u
[
1
]
+=
10
u
[
1
]
*=
tau
vert_xy
.
append
(
u
)
return
vert_xy
def
reflect
(
v1
,
v2
,
n
):
v1n
=
v1
-
2
*
dot
(
v1
,
n
)
*
n
v2n
=
v2
-
2
*
dot
(
v2
,
n
)
*
n
return
v1n
,
v2n
def
line
(
u
,
v
):
xd
=
v
[
0
]
-
u
[
0
]
yd
=
v
[
1
]
-
u
[
1
]
t
=
linspace
(
0
,
1
,
NT
)
lx
=
u
[
0
]
+
xd
*
t
ly
=
u
[
1
]
+
yd
*
t
lx
=
lx
.
round
()
ly
=
ly
.
round
()
return
lx
,
ly
def
show
(
vl
,
el
,
col
=
255
):
pixels
=
[]
pixelso
=
[]
for
i
,
e
in
enumerate
(
el
):
u
=
e
[
0
]
v
=
e
[
1
]
lx
,
ly
=
line
(
vl
[
u
],
vl
[
v
])
for
lxi
,
lyi
in
zip
(
lx
,
ly
):
pixels
.
append
(
(
lxi
,
lyi
,
col
)
)
pixelso
.
append
(
(
lxi
,
lyi
,
0
)
)
return
pixels
,
pixelso
def
clear
():
pixels
=
[
0
]
*
client
.
HEIGHT
*
client
.
WIDTH
client
.
blit
(
0
,
0
,
client
.
WIDTH
,
client
.
HEIGHT
,
pixels
)
if
__name__
==
"
__main__
"
:
x1
=
array
([
CENX
-
100
,
CENY
,
0
])
v1
=
array
([
1.5
,
0.75
,
0
])
x2
=
array
([
CENX
+
100
,
CENY
,
0
])
v2
=
array
([
-
2.5
,
-
0.25
,
0
])
c1
=
dode
(
16
)
c2
=
dode
(
16
)
m
=
edge_map_dode
m
+=
[(
mi
[
0
]
+
20
,
mi
[
1
]
+
20
)
for
mi
in
m
]
c1
=
rotatez
(
c1
,
pi
/
4.0
)
c1
=
rotatex
(
c1
,
pi
/
3.0
)
c2
=
rotatez
(
c2
,
pi
/
4.0
)
c2
=
rotatex
(
c2
,
pi
/
3.0
)
r1y
=
pi
/
50
r1z
=
pi
/
30
r2y
=
-
pi
/
30
r2z
=
-
pi
/
50
pixo
=
[]
clear
()
ti
=
0
while
(
True
):
c1
=
rotatey
(
c1
,
r1y
)
c1
=
rotatez
(
c1
,
r1z
)
c2
=
rotatey
(
c2
,
r2y
)
c2
=
rotatez
(
c2
,
r2z
)
propagate
(
x1
,
v1
)
propagate
(
x2
,
v2
)
n
=
x1
-
x2
if
(
norm
(
n
))
<
54
:
v1
,
v2
=
reflect
(
v1
,
v2
,
n
/
norm
(
n
))
ry
=
clip
(
2
*
random
.
uniform
(),
-
1.25
,
1.25
)
rz
=
clip
(
2
*
random
.
uniform
(),
-
1.25
,
1.25
)
r1y
=
clip
(
r1y
*
ry
,
-
0.18
,
0.18
)
r1z
=
clip
(
r1z
*
rz
,
-
0.18
,
0.18
)
r2y
=
clip
(
r2y
*
ry
,
-
0.18
,
0.18
)
r2z
=
clip
(
r2z
*
rz
,
-
0.18
,
0.18
)
cc1
=
project
(
move
(
c1
,
x1
))
cc2
=
project
(
move
(
c2
,
x2
))
pix
,
pixoo
=
show
(
cc1
+
cc2
,
m
)
client
.
set_pixels
(
pixo
+
pix
)
pixo
=
pixoo
ti
+=
1
if
ti
>
2000
:
pixo
=
[]
ti
=
0
x1
=
array
([
CENX
-
100
,
CENY
,
0
])
v1
=
array
([
1.5
,
0.75
,
0
])
x2
=
array
([
CENX
+
100
,
CENY
,
0
])
v2
=
array
([
-
2.5
,
-
0.25
,
0
])
clear
()
time
.
sleep
(
0.01
)
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