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Pierre Fernbach
curves
Commits
2c88bfbe
Commit
2c88bfbe
authored
Aug 06, 2019
by
Guilhem Saurel
Committed by
Pierre Fernbach
Sep 03, 2019
Browse files
remove StringIO, not available in Python 3
auto reformat may have moved a few other things ;)
parent
d73a9fda
Changes
1
Hide whitespace changes
Inline
Side-by-side
python/test/test.py
View file @
2c88bfbe
# FOR PRINT, TO REMOVE
import
StringIO
import
sys
# END FOR PRINT
import
unittest
from
numpy
import
matrix
from
numpy.linalg
import
norm
import
unittest
from
curves
import
(
bezier3
,
bezier6
,
bezier_from_hermite
,
bezier_from_polynomial
,
cubic_hermite_spline
,
curve_constraints
,
exact_cubic
,
hermite_from_bezier
,
hermite_from_polynomial
,
piecewise_bezier3_curve
,
piecewise_bezier6_curve
,
piecewise_cubic_hermite_curve
,
piecewise_polynomial_curve
,
polynomial
,
polynomial_from_bezier
,
polynomial_from_hermite
)
from
curves
import
bezier3
,
bezier6
from
curves
import
curve_constraints
,
polynomial
,
exact_cubic
,
cubic_hermite_spline
from
curves
import
piecewise_polynomial_curve
,
piecewise_bezier3_curve
,
piecewise_bezier6_curve
,
piecewise_cubic_hermite_curve
from
curves
import
polynomial_from_bezier
,
polynomial_from_hermite
from
curves
import
bezier_from_hermite
,
bezier_from_polynomial
from
curves
import
hermite_from_bezier
,
hermite_from_polynomial
class
TestCurves
(
unittest
.
TestCase
):
#def print_str(self, inStr):
...
...
@@ -27,10 +20,10 @@ class TestCurves(unittest.TestCase):
# - Variables : degree, nbWayPoints
__EPS
=
1e-6
waypoints
=
matrix
([[
1.
,
2.
,
3.
]]).
T
a
=
bezier3
(
waypoints
,
0.
,
2.
)
a
=
bezier3
(
waypoints
,
0.
,
2.
)
t
=
0.
while
t
<
2.
:
self
.
assertTrue
(
norm
(
a
(
t
)
-
matrix
([
1.
,
2.
,
3.
]).
T
)
<
__EPS
)
self
.
assertTrue
(
norm
(
a
(
t
)
-
matrix
([
1.
,
2.
,
3.
]).
T
)
<
__EPS
)
t
+=
0.1
waypoints
=
matrix
([[
1.
,
2.
,
3.
],
[
4.
,
5.
,
6.
]]).
transpose
()
waypoints6
=
matrix
([[
1.
,
2.
,
3.
,
7.
,
5.
,
5.
],
[
4.
,
5.
,
6.
,
4.
,
5.
,
6.
]]).
transpose
()
...
...
@@ -40,25 +33,25 @@ class TestCurves(unittest.TestCase):
a
=
bezier3
(
waypoints
,
0.
,
3.
)
# Test : Degree, min, max, derivate
#self.print_str(("test 1")
self
.
assertEqual
(
a
.
degree
,
a
.
nbWaypoints
-
1
)
self
.
assertEqual
(
a
.
degree
,
a
.
nbWaypoints
-
1
)
a
.
min
()
a
.
max
()
a
(
0.4
)
self
.
assertTrue
((
a
.
derivate
(
0.4
,
0
)
==
a
(
0.4
)).
all
())
self
.
assertTrue
((
a
.
derivate
(
0.4
,
0
)
==
a
(
0.4
)).
all
())
a
.
derivate
(
0.4
,
2
)
a
=
a
.
compute_derivate
(
100
)
prim
=
a
.
compute_primitive
(
1
)
# Check primitive and derivate - order 1
for
i
in
range
(
10
):
t
=
float
(
i
)
/
10.
self
.
assertTrue
((
a
(
t
)
==
prim
.
derivate
(
t
,
1
)).
all
())
self
.
assertTrue
((
prim
(
0
)
==
matrix
([
0.
,
0.
,
0.
])).
all
())
self
.
assertTrue
((
a
(
t
)
==
prim
.
derivate
(
t
,
1
)).
all
())
self
.
assertTrue
((
prim
(
0
)
==
matrix
([
0.
,
0.
,
0.
])).
all
())
# Check primitive and derivate - order 2
prim
=
a
.
compute_primitive
(
2
)
for
i
in
range
(
10
):
t
=
float
(
i
)
/
10.
self
.
assertTrue
((
a
(
t
)
==
prim
.
derivate
(
t
,
2
)).
all
())
self
.
assertTrue
((
prim
(
0
)
==
matrix
([
0.
,
0.
,
0.
])).
all
())
self
.
assertTrue
((
a
(
t
)
==
prim
.
derivate
(
t
,
2
)).
all
())
self
.
assertTrue
((
prim
(
0
)
==
matrix
([
0.
,
0.
,
0.
])).
all
())
# Create new bezier3 curve
waypoints
=
matrix
([[
1.
,
2.
,
3.
],
[
4.
,
5.
,
6.
],
[
4.
,
5.
,
6.
],
[
4.
,
5.
,
6.
],
[
4.
,
5.
,
6.
]]).
transpose
()
a0
=
bezier3
(
waypoints
)
...
...
@@ -68,11 +61,11 @@ class TestCurves(unittest.TestCase):
# Check change in argument time_t of bezier3
for
i
in
range
(
10
):
t
=
float
(
i
)
/
10.
self
.
assertTrue
(
norm
(
a0
(
t
)
-
a1
(
3
*
t
))
<
__EPS
)
self
.
assertTrue
(
norm
(
a0
.
derivate
(
t
,
1
)
-
a1
.
derivate
(
3
*
t
,
1
)
*
3.
)
<
__EPS
)
self
.
assertTrue
(
norm
(
a0
.
derivate
(
t
,
2
)
-
a1
.
derivate
(
3
*
t
,
2
)
*
9.
)
<
__EPS
)
self
.
assertTrue
(
norm
(
prim0
(
t
)
-
prim1
(
t
*
3
)
/
3.
)
<
__EPS
)
self
.
assertTrue
((
prim
(
0
)
==
matrix
([
0.
,
0.
,
0.
])).
all
())
self
.
assertTrue
(
norm
(
a0
(
t
)
-
a1
(
3
*
t
))
<
__EPS
)
self
.
assertTrue
(
norm
(
a0
.
derivate
(
t
,
1
)
-
a1
.
derivate
(
3
*
t
,
1
)
*
3.
)
<
__EPS
)
self
.
assertTrue
(
norm
(
a0
.
derivate
(
t
,
2
)
-
a1
.
derivate
(
3
*
t
,
2
)
*
9.
)
<
__EPS
)
self
.
assertTrue
(
norm
(
prim0
(
t
)
-
prim1
(
t
*
3
)
/
3.
)
<
__EPS
)
self
.
assertTrue
((
prim
(
0
)
==
matrix
([
0.
,
0.
,
0.
])).
all
())
# testing bezier with constraints
c
=
curve_constraints
()
c
.
init_vel
=
matrix
([
0.
,
1.
,
1.
]).
transpose
()
...
...
@@ -82,20 +75,20 @@ class TestCurves(unittest.TestCase):
#Check derivate with constraints
waypoints
=
matrix
([[
1.
,
2.
,
3.
],
[
4.
,
5.
,
6.
]]).
transpose
()
a
=
bezier3
(
waypoints
,
c
)
self
.
assertTrue
(
norm
(
a
.
derivate
(
0
,
1
)
-
c
.
init_vel
)
<
1e-10
)
self
.
assertTrue
(
norm
(
a
.
derivate
(
1
,
2
)
-
c
.
end_acc
)
<
1e-10
)
self
.
assertTrue
(
norm
(
a
.
derivate
(
0
,
1
)
-
c
.
init_vel
)
<
1e-10
)
self
.
assertTrue
(
norm
(
a
.
derivate
(
1
,
2
)
-
c
.
end_acc
)
<
1e-10
)
return
def
test_polynomial
(
self
):
# To test :
# - Functions : constructor, min, max, derivate
waypoints
=
matrix
([[
1.
,
2.
,
3.
],
[
4.
,
5.
,
6.
]]).
transpose
()
a
=
polynomial
(
waypoints
)
# Defined on [0.,1.]
a
=
polynomial
(
waypoints
,
-
1.
,
3.
)
# Defined on [-1.,3.]
a
=
polynomial
(
waypoints
)
# Defined on [0.,1.]
a
=
polynomial
(
waypoints
,
-
1.
,
3.
)
# Defined on [-1.,3.]
a
.
min
()
a
.
max
()
a
(
0.4
)
self
.
assertTrue
((
a
.
derivate
(
0.4
,
0
)
==
a
(
0.4
)).
all
())
self
.
assertTrue
((
a
.
derivate
(
0.4
,
0
)
==
a
(
0.4
)).
all
())
a
.
derivate
(
0.4
,
2
)
return
...
...
@@ -104,14 +97,14 @@ class TestCurves(unittest.TestCase):
# - Functions : constructor, min, max, derivate, add_curve, is_continuous
waypoints1
=
matrix
([[
1.
,
1.
,
1.
]]).
transpose
()
waypoints2
=
matrix
([[
1.
,
1.
,
1.
],
[
1.
,
1.
,
1.
]]).
transpose
()
a
=
polynomial
(
waypoints1
,
0.
,
1.
)
a
=
polynomial
(
waypoints1
,
0.
,
1.
)
b
=
polynomial
(
waypoints2
,
1.
,
3.
)
ppc
=
piecewise_polynomial_curve
(
a
)
ppc
.
add_curve
(
b
)
ppc
.
min
()
ppc
.
max
()
ppc
(
0.4
)
self
.
assertTrue
((
ppc
.
derivate
(
0.4
,
0
)
==
ppc
(
0.4
)).
all
())
self
.
assertTrue
((
ppc
.
derivate
(
0.4
,
0
)
==
ppc
(
0.4
)).
all
())
ppc
.
derivate
(
0.4
,
2
)
ppc
.
is_continuous
(
0
)
ppc
.
is_continuous
(
1
)
...
...
@@ -128,7 +121,7 @@ class TestCurves(unittest.TestCase):
ppc
.
min
()
ppc
.
max
()
ppc
(
0.4
)
self
.
assertTrue
((
ppc
.
derivate
(
0.4
,
0
)
==
ppc
(
0.4
)).
all
())
self
.
assertTrue
((
ppc
.
derivate
(
0.4
,
0
)
==
ppc
(
0.4
)).
all
())
ppc
.
derivate
(
0.4
,
2
)
ppc
.
is_continuous
(
0
)
ppc
.
is_continuous
(
1
)
...
...
@@ -145,7 +138,7 @@ class TestCurves(unittest.TestCase):
ppc
.
min
()
ppc
.
max
()
ppc
(
0.4
)
self
.
assertTrue
((
ppc
.
derivate
(
0.4
,
0
)
==
ppc
(
0.4
)).
all
())
self
.
assertTrue
((
ppc
.
derivate
(
0.4
,
0
)
==
ppc
(
0.4
)).
all
())
ppc
.
derivate
(
0.4
,
2
)
ppc
.
is_continuous
(
0
)
ppc
.
is_continuous
(
1
)
...
...
@@ -165,7 +158,7 @@ class TestCurves(unittest.TestCase):
ppc
.
min
()
ppc
.
max
()
ppc
(
0.4
)
self
.
assertTrue
((
ppc
.
derivate
(
0.4
,
0
)
==
ppc
(
0.4
)).
all
())
self
.
assertTrue
((
ppc
.
derivate
(
0.4
,
0
)
==
ppc
(
0.4
)).
all
())
ppc
.
derivate
(
0.4
,
2
)
ppc
.
is_continuous
(
0
)
ppc
.
is_continuous
(
1
)
...
...
@@ -180,7 +173,7 @@ class TestCurves(unittest.TestCase):
a
.
min
()
a
.
max
()
a
(
0.4
)
self
.
assertTrue
((
a
.
derivate
(
0.4
,
0
)
==
a
(
0.4
)).
all
())
self
.
assertTrue
((
a
.
derivate
(
0.4
,
0
)
==
a
(
0.4
)).
all
())
a
.
derivate
(
0.4
,
2
)
a
.
getNumberSplines
()
a
.
getSplineAt
(
0
)
...
...
@@ -212,7 +205,7 @@ class TestCurves(unittest.TestCase):
a
.
min
()
a
.
max
()
a
(
0.4
)
self
.
assertTrue
((
a
.
derivate
(
0.4
,
0
)
==
a
(
0.4
)).
all
())
self
.
assertTrue
((
a
.
derivate
(
0.4
,
0
)
==
a
(
0.4
)).
all
())
a
.
derivate
(
0.4
,
2
)
return
...
...
@@ -222,25 +215,26 @@ class TestCurves(unittest.TestCase):
a
=
bezier3
(
waypoints
)
# converting bezier to polynomial
a_pol
=
polynomial_from_bezier
(
a
)
self
.
assertTrue
(
norm
(
a
(
0.3
)
-
a_pol
(
0.3
))
<
__EPS
)
self
.
assertTrue
(
norm
(
a
(
0.3
)
-
a_pol
(
0.3
))
<
__EPS
)
# converting polynomial to hermite
a_chs
=
hermite_from_polynomial
(
a_pol
)
;
self
.
assertTrue
(
norm
(
a_chs
(
0.3
)
-
a_pol
(
0.3
))
<
__EPS
)
a_chs
=
hermite_from_polynomial
(
a_pol
)
self
.
assertTrue
(
norm
(
a_chs
(
0.3
)
-
a_pol
(
0.3
))
<
__EPS
)
# converting hermite to bezier
a_bc
=
bezier_from_hermite
(
a_chs
)
;
self
.
assertTrue
(
norm
(
a_chs
(
0.3
)
-
a_bc
(
0.3
))
<
__EPS
)
self
.
assertTrue
(
norm
(
a
(
0.3
)
-
a_bc
(
0.3
))
<
__EPS
)
a_bc
=
bezier_from_hermite
(
a_chs
)
self
.
assertTrue
(
norm
(
a_chs
(
0.3
)
-
a_bc
(
0.3
))
<
__EPS
)
self
.
assertTrue
(
norm
(
a
(
0.3
)
-
a_bc
(
0.3
))
<
__EPS
)
# converting bezier to hermite
a_chs
=
hermite_from_bezier
(
a
)
;
self
.
assertTrue
(
norm
(
a
(
0.3
)
-
a_chs
(
0.3
))
<
__EPS
)
a_chs
=
hermite_from_bezier
(
a
)
self
.
assertTrue
(
norm
(
a
(
0.3
)
-
a_chs
(
0.3
))
<
__EPS
)
# converting hermite to polynomial
a_pol
=
polynomial_from_hermite
(
a_chs
)
self
.
assertTrue
(
norm
(
a_pol
(
0.3
)
-
a_chs
(
0.3
))
<
__EPS
)
self
.
assertTrue
(
norm
(
a_pol
(
0.3
)
-
a_chs
(
0.3
))
<
__EPS
)
# converting polynomial to bezier
a_bc
=
bezier_from_polynomial
(
a_pol
)
self
.
assertTrue
(
norm
(
a_bc
(
0.3
)
-
a_pol
(
0.3
))
<
__EPS
)
self
.
assertTrue
(
norm
(
a
(
0.3
)
-
a_bc
(
0.3
))
<
__EPS
)
self
.
assertTrue
(
norm
(
a_bc
(
0.3
)
-
a_pol
(
0.3
))
<
__EPS
)
self
.
assertTrue
(
norm
(
a
(
0.3
)
-
a_bc
(
0.3
))
<
__EPS
)
return
if
__name__
==
'__main__'
:
unittest
.
main
()
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