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R9490 Homework_sp4e_Peruzzo_SáezUribe
test_eigen.py
View Options
import
pytest
from
pybind11_tests
import
ConstructorStats
pytestmark
=
pytest
.
requires_eigen_and_numpy
with
pytest
.
suppress
(
ImportError
):
from
pybind11_tests
import
eigen
as
m
import
numpy
as
np
ref
=
np
.
array
([[
0.
,
3
,
0
,
0
,
0
,
11
],
[
22
,
0
,
0
,
0
,
17
,
11
],
[
7
,
5
,
0
,
1
,
0
,
11
],
[
0
,
0
,
0
,
0
,
0
,
11
],
[
0
,
0
,
14
,
0
,
8
,
11
]])
def
assert_equal_ref
(
mat
):
np
.
testing
.
assert_array_equal
(
mat
,
ref
)
def
assert_sparse_equal_ref
(
sparse_mat
):
assert_equal_ref
(
sparse_mat
.
toarray
())
def
test_fixed
():
assert_equal_ref
(
m
.
fixed_c
())
assert_equal_ref
(
m
.
fixed_r
())
assert_equal_ref
(
m
.
fixed_copy_r
(
m
.
fixed_r
()))
assert_equal_ref
(
m
.
fixed_copy_c
(
m
.
fixed_c
()))
assert_equal_ref
(
m
.
fixed_copy_r
(
m
.
fixed_c
()))
assert_equal_ref
(
m
.
fixed_copy_c
(
m
.
fixed_r
()))
def
test_dense
():
assert_equal_ref
(
m
.
dense_r
())
assert_equal_ref
(
m
.
dense_c
())
assert_equal_ref
(
m
.
dense_copy_r
(
m
.
dense_r
()))
assert_equal_ref
(
m
.
dense_copy_c
(
m
.
dense_c
()))
assert_equal_ref
(
m
.
dense_copy_r
(
m
.
dense_c
()))
assert_equal_ref
(
m
.
dense_copy_c
(
m
.
dense_r
()))
def
test_partially_fixed
():
ref2
=
np
.
array
([[
0.
,
1
,
2
,
3
],
[
4
,
5
,
6
,
7
],
[
8
,
9
,
10
,
11
],
[
12
,
13
,
14
,
15
]])
np
.
testing
.
assert_array_equal
(
m
.
partial_copy_four_rm_r
(
ref2
),
ref2
)
np
.
testing
.
assert_array_equal
(
m
.
partial_copy_four_rm_c
(
ref2
),
ref2
)
np
.
testing
.
assert_array_equal
(
m
.
partial_copy_four_rm_r
(
ref2
[:,
1
]),
ref2
[:,
[
1
]])
np
.
testing
.
assert_array_equal
(
m
.
partial_copy_four_rm_c
(
ref2
[
0
,
:]),
ref2
[[
0
],
:])
np
.
testing
.
assert_array_equal
(
m
.
partial_copy_four_rm_r
(
ref2
[:,
(
0
,
2
)]),
ref2
[:,
(
0
,
2
)])
np
.
testing
.
assert_array_equal
(
m
.
partial_copy_four_rm_c
(
ref2
[(
3
,
1
,
2
),
:]),
ref2
[(
3
,
1
,
2
),
:])
np
.
testing
.
assert_array_equal
(
m
.
partial_copy_four_cm_r
(
ref2
),
ref2
)
np
.
testing
.
assert_array_equal
(
m
.
partial_copy_four_cm_c
(
ref2
),
ref2
)
np
.
testing
.
assert_array_equal
(
m
.
partial_copy_four_cm_r
(
ref2
[:,
1
]),
ref2
[:,
[
1
]])
np
.
testing
.
assert_array_equal
(
m
.
partial_copy_four_cm_c
(
ref2
[
0
,
:]),
ref2
[[
0
],
:])
np
.
testing
.
assert_array_equal
(
m
.
partial_copy_four_cm_r
(
ref2
[:,
(
0
,
2
)]),
ref2
[:,
(
0
,
2
)])
np
.
testing
.
assert_array_equal
(
m
.
partial_copy_four_cm_c
(
ref2
[(
3
,
1
,
2
),
:]),
ref2
[(
3
,
1
,
2
),
:])
# TypeError should be raise for a shape mismatch
functions
=
[
m
.
partial_copy_four_rm_r
,
m
.
partial_copy_four_rm_c
,
m
.
partial_copy_four_cm_r
,
m
.
partial_copy_four_cm_c
]
matrix_with_wrong_shape
=
[[
1
,
2
],
[
3
,
4
]]
for
f
in
functions
:
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
f
(
matrix_with_wrong_shape
)
assert
"incompatible function arguments"
in
str
(
excinfo
.
value
)
def
test_mutator_descriptors
():
zr
=
np
.
arange
(
30
,
dtype
=
'float32'
)
.
reshape
(
5
,
6
)
# row-major
zc
=
zr
.
reshape
(
6
,
5
)
.
transpose
()
# column-major
m
.
fixed_mutator_r
(
zr
)
m
.
fixed_mutator_c
(
zc
)
m
.
fixed_mutator_a
(
zr
)
m
.
fixed_mutator_a
(
zc
)
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
m
.
fixed_mutator_r
(
zc
)
assert
(
'(arg0: numpy.ndarray[float32[5, 6], flags.writeable, flags.c_contiguous]) -> None'
in
str
(
excinfo
.
value
))
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
m
.
fixed_mutator_c
(
zr
)
assert
(
'(arg0: numpy.ndarray[float32[5, 6], flags.writeable, flags.f_contiguous]) -> None'
in
str
(
excinfo
.
value
))
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
m
.
fixed_mutator_a
(
np
.
array
([[
1
,
2
],
[
3
,
4
]],
dtype
=
'float32'
))
assert
(
'(arg0: numpy.ndarray[float32[5, 6], flags.writeable]) -> None'
in
str
(
excinfo
.
value
))
zr
.
flags
.
writeable
=
False
with
pytest
.
raises
(
TypeError
):
m
.
fixed_mutator_r
(
zr
)
with
pytest
.
raises
(
TypeError
):
m
.
fixed_mutator_a
(
zr
)
def
test_cpp_casting
():
assert
m
.
cpp_copy
(
m
.
fixed_r
())
==
22.
assert
m
.
cpp_copy
(
m
.
fixed_c
())
==
22.
z
=
np
.
array
([[
5.
,
6
],
[
7
,
8
]])
assert
m
.
cpp_copy
(
z
)
==
7.
assert
m
.
cpp_copy
(
m
.
get_cm_ref
())
==
21.
assert
m
.
cpp_copy
(
m
.
get_rm_ref
())
==
21.
assert
m
.
cpp_ref_c
(
m
.
get_cm_ref
())
==
21.
assert
m
.
cpp_ref_r
(
m
.
get_rm_ref
())
==
21.
with
pytest
.
raises
(
RuntimeError
)
as
excinfo
:
# Can't reference m.fixed_c: it contains floats, m.cpp_ref_any wants doubles
m
.
cpp_ref_any
(
m
.
fixed_c
())
assert
'Unable to cast Python instance'
in
str
(
excinfo
.
value
)
with
pytest
.
raises
(
RuntimeError
)
as
excinfo
:
# Can't reference m.fixed_r: it contains floats, m.cpp_ref_any wants doubles
m
.
cpp_ref_any
(
m
.
fixed_r
())
assert
'Unable to cast Python instance'
in
str
(
excinfo
.
value
)
assert
m
.
cpp_ref_any
(
m
.
ReturnTester
.
create
())
==
1.
assert
m
.
cpp_ref_any
(
m
.
get_cm_ref
())
==
21.
assert
m
.
cpp_ref_any
(
m
.
get_cm_ref
())
==
21.
def
test_pass_readonly_array
():
z
=
np
.
full
((
5
,
6
),
42.0
)
z
.
flags
.
writeable
=
False
np
.
testing
.
assert_array_equal
(
z
,
m
.
fixed_copy_r
(
z
))
np
.
testing
.
assert_array_equal
(
m
.
fixed_r_const
(),
m
.
fixed_r
())
assert
not
m
.
fixed_r_const
()
.
flags
.
writeable
np
.
testing
.
assert_array_equal
(
m
.
fixed_copy_r
(
m
.
fixed_r_const
()),
m
.
fixed_r_const
())
def
test_nonunit_stride_from_python
():
counting_mat
=
np
.
arange
(
9.0
,
dtype
=
np
.
float32
)
.
reshape
((
3
,
3
))
second_row
=
counting_mat
[
1
,
:]
second_col
=
counting_mat
[:,
1
]
np
.
testing
.
assert_array_equal
(
m
.
double_row
(
second_row
),
2.0
*
second_row
)
np
.
testing
.
assert_array_equal
(
m
.
double_col
(
second_row
),
2.0
*
second_row
)
np
.
testing
.
assert_array_equal
(
m
.
double_complex
(
second_row
),
2.0
*
second_row
)
np
.
testing
.
assert_array_equal
(
m
.
double_row
(
second_col
),
2.0
*
second_col
)
np
.
testing
.
assert_array_equal
(
m
.
double_col
(
second_col
),
2.0
*
second_col
)
np
.
testing
.
assert_array_equal
(
m
.
double_complex
(
second_col
),
2.0
*
second_col
)
counting_3d
=
np
.
arange
(
27.0
,
dtype
=
np
.
float32
)
.
reshape
((
3
,
3
,
3
))
slices
=
[
counting_3d
[
0
,
:,
:],
counting_3d
[:,
0
,
:],
counting_3d
[:,
:,
0
]]
for
slice_idx
,
ref_mat
in
enumerate
(
slices
):
np
.
testing
.
assert_array_equal
(
m
.
double_mat_cm
(
ref_mat
),
2.0
*
ref_mat
)
np
.
testing
.
assert_array_equal
(
m
.
double_mat_rm
(
ref_mat
),
2.0
*
ref_mat
)
# Mutator:
m
.
double_threer
(
second_row
)
m
.
double_threec
(
second_col
)
np
.
testing
.
assert_array_equal
(
counting_mat
,
[[
0.
,
2
,
2
],
[
6
,
16
,
10
],
[
6
,
14
,
8
]])
def
test_negative_stride_from_python
(
msg
):
"""Eigen doesn't support (as of yet) negative strides. When a function takes an Eigen matrix by
copy or const reference, we can pass a numpy array that has negative strides. Otherwise, an
exception will be thrown as Eigen will not be able to map the numpy array."""
counting_mat
=
np
.
arange
(
9.0
,
dtype
=
np
.
float32
)
.
reshape
((
3
,
3
))
counting_mat
=
counting_mat
[::
-
1
,
::
-
1
]
second_row
=
counting_mat
[
1
,
:]
second_col
=
counting_mat
[:,
1
]
np
.
testing
.
assert_array_equal
(
m
.
double_row
(
second_row
),
2.0
*
second_row
)
np
.
testing
.
assert_array_equal
(
m
.
double_col
(
second_row
),
2.0
*
second_row
)
np
.
testing
.
assert_array_equal
(
m
.
double_complex
(
second_row
),
2.0
*
second_row
)
np
.
testing
.
assert_array_equal
(
m
.
double_row
(
second_col
),
2.0
*
second_col
)
np
.
testing
.
assert_array_equal
(
m
.
double_col
(
second_col
),
2.0
*
second_col
)
np
.
testing
.
assert_array_equal
(
m
.
double_complex
(
second_col
),
2.0
*
second_col
)
counting_3d
=
np
.
arange
(
27.0
,
dtype
=
np
.
float32
)
.
reshape
((
3
,
3
,
3
))
counting_3d
=
counting_3d
[::
-
1
,
::
-
1
,
::
-
1
]
slices
=
[
counting_3d
[
0
,
:,
:],
counting_3d
[:,
0
,
:],
counting_3d
[:,
:,
0
]]
for
slice_idx
,
ref_mat
in
enumerate
(
slices
):
np
.
testing
.
assert_array_equal
(
m
.
double_mat_cm
(
ref_mat
),
2.0
*
ref_mat
)
np
.
testing
.
assert_array_equal
(
m
.
double_mat_rm
(
ref_mat
),
2.0
*
ref_mat
)
# Mutator:
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
m
.
double_threer
(
second_row
)
assert
msg
(
excinfo
.
value
)
==
"""
double_threer(): incompatible function arguments. The following argument types are supported:
1. (arg0: numpy.ndarray[float32[1, 3], flags.writeable]) -> None
Invoked with: """
+
repr
(
np
.
array
([
5.
,
4.
,
3.
],
dtype
=
'float32'
))
# noqa: E501 line too long
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
m
.
double_threec
(
second_col
)
assert
msg
(
excinfo
.
value
)
==
"""
double_threec(): incompatible function arguments. The following argument types are supported:
1. (arg0: numpy.ndarray[float32[3, 1], flags.writeable]) -> None
Invoked with: """
+
repr
(
np
.
array
([
7.
,
4.
,
1.
],
dtype
=
'float32'
))
# noqa: E501 line too long
def
test_nonunit_stride_to_python
():
assert
np
.
all
(
m
.
diagonal
(
ref
)
==
ref
.
diagonal
())
assert
np
.
all
(
m
.
diagonal_1
(
ref
)
==
ref
.
diagonal
(
1
))
for
i
in
range
(
-
5
,
7
):
assert
np
.
all
(
m
.
diagonal_n
(
ref
,
i
)
==
ref
.
diagonal
(
i
)),
"m.diagonal_n({})"
.
format
(
i
)
assert
np
.
all
(
m
.
block
(
ref
,
2
,
1
,
3
,
3
)
==
ref
[
2
:
5
,
1
:
4
])
assert
np
.
all
(
m
.
block
(
ref
,
1
,
4
,
4
,
2
)
==
ref
[
1
:,
4
:])
assert
np
.
all
(
m
.
block
(
ref
,
1
,
4
,
3
,
2
)
==
ref
[
1
:
4
,
4
:])
def
test_eigen_ref_to_python
():
chols
=
[
m
.
cholesky1
,
m
.
cholesky2
,
m
.
cholesky3
,
m
.
cholesky4
]
for
i
,
chol
in
enumerate
(
chols
,
start
=
1
):
mymat
=
chol
(
np
.
array
([[
1.
,
2
,
4
],
[
2
,
13
,
23
],
[
4
,
23
,
77
]]))
assert
np
.
all
(
mymat
==
np
.
array
([[
1
,
0
,
0
],
[
2
,
3
,
0
],
[
4
,
5
,
6
]])),
"cholesky{}"
.
format
(
i
)
def
assign_both
(
a1
,
a2
,
r
,
c
,
v
):
a1
[
r
,
c
]
=
v
a2
[
r
,
c
]
=
v
def
array_copy_but_one
(
a
,
r
,
c
,
v
):
z
=
np
.
array
(
a
,
copy
=
True
)
z
[
r
,
c
]
=
v
return
z
def
test_eigen_return_references
():
"""Tests various ways of returning references and non-referencing copies"""
master
=
np
.
ones
((
10
,
10
))
a
=
m
.
ReturnTester
()
a_get1
=
a
.
get
()
assert
not
a_get1
.
flags
.
owndata
and
a_get1
.
flags
.
writeable
assign_both
(
a_get1
,
master
,
3
,
3
,
5
)
a_get2
=
a
.
get_ptr
()
assert
not
a_get2
.
flags
.
owndata
and
a_get2
.
flags
.
writeable
assign_both
(
a_get1
,
master
,
2
,
3
,
6
)
a_view1
=
a
.
view
()
assert
not
a_view1
.
flags
.
owndata
and
not
a_view1
.
flags
.
writeable
with
pytest
.
raises
(
ValueError
):
a_view1
[
2
,
3
]
=
4
a_view2
=
a
.
view_ptr
()
assert
not
a_view2
.
flags
.
owndata
and
not
a_view2
.
flags
.
writeable
with
pytest
.
raises
(
ValueError
):
a_view2
[
2
,
3
]
=
4
a_copy1
=
a
.
copy_get
()
assert
a_copy1
.
flags
.
owndata
and
a_copy1
.
flags
.
writeable
np
.
testing
.
assert_array_equal
(
a_copy1
,
master
)
a_copy1
[
7
,
7
]
=
-
44
# Shouldn't affect anything else
c1want
=
array_copy_but_one
(
master
,
7
,
7
,
-
44
)
a_copy2
=
a
.
copy_view
()
assert
a_copy2
.
flags
.
owndata
and
a_copy2
.
flags
.
writeable
np
.
testing
.
assert_array_equal
(
a_copy2
,
master
)
a_copy2
[
4
,
4
]
=
-
22
# Shouldn't affect anything else
c2want
=
array_copy_but_one
(
master
,
4
,
4
,
-
22
)
a_ref1
=
a
.
ref
()
assert
not
a_ref1
.
flags
.
owndata
and
a_ref1
.
flags
.
writeable
assign_both
(
a_ref1
,
master
,
1
,
1
,
15
)
a_ref2
=
a
.
ref_const
()
assert
not
a_ref2
.
flags
.
owndata
and
not
a_ref2
.
flags
.
writeable
with
pytest
.
raises
(
ValueError
):
a_ref2
[
5
,
5
]
=
33
a_ref3
=
a
.
ref_safe
()
assert
not
a_ref3
.
flags
.
owndata
and
a_ref3
.
flags
.
writeable
assign_both
(
a_ref3
,
master
,
0
,
7
,
99
)
a_ref4
=
a
.
ref_const_safe
()
assert
not
a_ref4
.
flags
.
owndata
and
not
a_ref4
.
flags
.
writeable
with
pytest
.
raises
(
ValueError
):
a_ref4
[
7
,
0
]
=
987654321
a_copy3
=
a
.
copy_ref
()
assert
a_copy3
.
flags
.
owndata
and
a_copy3
.
flags
.
writeable
np
.
testing
.
assert_array_equal
(
a_copy3
,
master
)
a_copy3
[
8
,
1
]
=
11
c3want
=
array_copy_but_one
(
master
,
8
,
1
,
11
)
a_copy4
=
a
.
copy_ref_const
()
assert
a_copy4
.
flags
.
owndata
and
a_copy4
.
flags
.
writeable
np
.
testing
.
assert_array_equal
(
a_copy4
,
master
)
a_copy4
[
8
,
4
]
=
88
c4want
=
array_copy_but_one
(
master
,
8
,
4
,
88
)
a_block1
=
a
.
block
(
3
,
3
,
2
,
2
)
assert
not
a_block1
.
flags
.
owndata
and
a_block1
.
flags
.
writeable
a_block1
[
0
,
0
]
=
55
master
[
3
,
3
]
=
55
a_block2
=
a
.
block_safe
(
2
,
2
,
3
,
2
)
assert
not
a_block2
.
flags
.
owndata
and
a_block2
.
flags
.
writeable
a_block2
[
2
,
1
]
=
-
123
master
[
4
,
3
]
=
-
123
a_block3
=
a
.
block_const
(
6
,
7
,
4
,
3
)
assert
not
a_block3
.
flags
.
owndata
and
not
a_block3
.
flags
.
writeable
with
pytest
.
raises
(
ValueError
):
a_block3
[
2
,
2
]
=
-
44444
a_copy5
=
a
.
copy_block
(
2
,
2
,
2
,
3
)
assert
a_copy5
.
flags
.
owndata
and
a_copy5
.
flags
.
writeable
np
.
testing
.
assert_array_equal
(
a_copy5
,
master
[
2
:
4
,
2
:
5
])
a_copy5
[
1
,
1
]
=
777
c5want
=
array_copy_but_one
(
master
[
2
:
4
,
2
:
5
],
1
,
1
,
777
)
a_corn1
=
a
.
corners
()
assert
not
a_corn1
.
flags
.
owndata
and
a_corn1
.
flags
.
writeable
a_corn1
*=
50
a_corn1
[
1
,
1
]
=
999
master
[
0
,
0
]
=
50
master
[
0
,
9
]
=
50
master
[
9
,
0
]
=
50
master
[
9
,
9
]
=
999
a_corn2
=
a
.
corners_const
()
assert
not
a_corn2
.
flags
.
owndata
and
not
a_corn2
.
flags
.
writeable
with
pytest
.
raises
(
ValueError
):
a_corn2
[
1
,
0
]
=
51
# All of the changes made all the way along should be visible everywhere
# now (except for the copies, of course)
np
.
testing
.
assert_array_equal
(
a_get1
,
master
)
np
.
testing
.
assert_array_equal
(
a_get2
,
master
)
np
.
testing
.
assert_array_equal
(
a_view1
,
master
)
np
.
testing
.
assert_array_equal
(
a_view2
,
master
)
np
.
testing
.
assert_array_equal
(
a_ref1
,
master
)
np
.
testing
.
assert_array_equal
(
a_ref2
,
master
)
np
.
testing
.
assert_array_equal
(
a_ref3
,
master
)
np
.
testing
.
assert_array_equal
(
a_ref4
,
master
)
np
.
testing
.
assert_array_equal
(
a_block1
,
master
[
3
:
5
,
3
:
5
])
np
.
testing
.
assert_array_equal
(
a_block2
,
master
[
2
:
5
,
2
:
4
])
np
.
testing
.
assert_array_equal
(
a_block3
,
master
[
6
:
10
,
7
:
10
])
np
.
testing
.
assert_array_equal
(
a_corn1
,
master
[
0
::
master
.
shape
[
0
]
-
1
,
0
::
master
.
shape
[
1
]
-
1
])
np
.
testing
.
assert_array_equal
(
a_corn2
,
master
[
0
::
master
.
shape
[
0
]
-
1
,
0
::
master
.
shape
[
1
]
-
1
])
np
.
testing
.
assert_array_equal
(
a_copy1
,
c1want
)
np
.
testing
.
assert_array_equal
(
a_copy2
,
c2want
)
np
.
testing
.
assert_array_equal
(
a_copy3
,
c3want
)
np
.
testing
.
assert_array_equal
(
a_copy4
,
c4want
)
np
.
testing
.
assert_array_equal
(
a_copy5
,
c5want
)
def
assert_keeps_alive
(
cl
,
method
,
*
args
):
cstats
=
ConstructorStats
.
get
(
cl
)
start_with
=
cstats
.
alive
()
a
=
cl
()
assert
cstats
.
alive
()
==
start_with
+
1
z
=
method
(
a
,
*
args
)
assert
cstats
.
alive
()
==
start_with
+
1
del
a
# Here's the keep alive in action:
assert
cstats
.
alive
()
==
start_with
+
1
del
z
# Keep alive should have expired:
assert
cstats
.
alive
()
==
start_with
def
test_eigen_keepalive
():
a
=
m
.
ReturnTester
()
cstats
=
ConstructorStats
.
get
(
m
.
ReturnTester
)
assert
cstats
.
alive
()
==
1
unsafe
=
[
a
.
ref
(),
a
.
ref_const
(),
a
.
block
(
1
,
2
,
3
,
4
)]
copies
=
[
a
.
copy_get
(),
a
.
copy_view
(),
a
.
copy_ref
(),
a
.
copy_ref_const
(),
a
.
copy_block
(
4
,
3
,
2
,
1
)]
del
a
assert
cstats
.
alive
()
==
0
del
unsafe
del
copies
for
meth
in
[
m
.
ReturnTester
.
get
,
m
.
ReturnTester
.
get_ptr
,
m
.
ReturnTester
.
view
,
m
.
ReturnTester
.
view_ptr
,
m
.
ReturnTester
.
ref_safe
,
m
.
ReturnTester
.
ref_const_safe
,
m
.
ReturnTester
.
corners
,
m
.
ReturnTester
.
corners_const
]:
assert_keeps_alive
(
m
.
ReturnTester
,
meth
)
for
meth
in
[
m
.
ReturnTester
.
block_safe
,
m
.
ReturnTester
.
block_const
]:
assert_keeps_alive
(
m
.
ReturnTester
,
meth
,
4
,
3
,
2
,
1
)
def
test_eigen_ref_mutators
():
"""Tests Eigen's ability to mutate numpy values"""
orig
=
np
.
array
([[
1.
,
2
,
3
],
[
4
,
5
,
6
],
[
7
,
8
,
9
]])
zr
=
np
.
array
(
orig
)
zc
=
np
.
array
(
orig
,
order
=
'F'
)
m
.
add_rm
(
zr
,
1
,
0
,
100
)
assert
np
.
all
(
zr
==
np
.
array
([[
1.
,
2
,
3
],
[
104
,
5
,
6
],
[
7
,
8
,
9
]]))
m
.
add_cm
(
zc
,
1
,
0
,
200
)
assert
np
.
all
(
zc
==
np
.
array
([[
1.
,
2
,
3
],
[
204
,
5
,
6
],
[
7
,
8
,
9
]]))
m
.
add_any
(
zr
,
1
,
0
,
20
)
assert
np
.
all
(
zr
==
np
.
array
([[
1.
,
2
,
3
],
[
124
,
5
,
6
],
[
7
,
8
,
9
]]))
m
.
add_any
(
zc
,
1
,
0
,
10
)
assert
np
.
all
(
zc
==
np
.
array
([[
1.
,
2
,
3
],
[
214
,
5
,
6
],
[
7
,
8
,
9
]]))
# Can't reference a col-major array with a row-major Ref, and vice versa:
with
pytest
.
raises
(
TypeError
):
m
.
add_rm
(
zc
,
1
,
0
,
1
)
with
pytest
.
raises
(
TypeError
):
m
.
add_cm
(
zr
,
1
,
0
,
1
)
# Overloads:
m
.
add1
(
zr
,
1
,
0
,
-
100
)
m
.
add2
(
zr
,
1
,
0
,
-
20
)
assert
np
.
all
(
zr
==
orig
)
m
.
add1
(
zc
,
1
,
0
,
-
200
)
m
.
add2
(
zc
,
1
,
0
,
-
10
)
assert
np
.
all
(
zc
==
orig
)
# a non-contiguous slice (this won't work on either the row- or
# column-contiguous refs, but should work for the any)
cornersr
=
zr
[
0
::
2
,
0
::
2
]
cornersc
=
zc
[
0
::
2
,
0
::
2
]
assert
np
.
all
(
cornersr
==
np
.
array
([[
1.
,
3
],
[
7
,
9
]]))
assert
np
.
all
(
cornersc
==
np
.
array
([[
1.
,
3
],
[
7
,
9
]]))
with
pytest
.
raises
(
TypeError
):
m
.
add_rm
(
cornersr
,
0
,
1
,
25
)
with
pytest
.
raises
(
TypeError
):
m
.
add_cm
(
cornersr
,
0
,
1
,
25
)
with
pytest
.
raises
(
TypeError
):
m
.
add_rm
(
cornersc
,
0
,
1
,
25
)
with
pytest
.
raises
(
TypeError
):
m
.
add_cm
(
cornersc
,
0
,
1
,
25
)
m
.
add_any
(
cornersr
,
0
,
1
,
25
)
m
.
add_any
(
cornersc
,
0
,
1
,
44
)
assert
np
.
all
(
zr
==
np
.
array
([[
1.
,
2
,
28
],
[
4
,
5
,
6
],
[
7
,
8
,
9
]]))
assert
np
.
all
(
zc
==
np
.
array
([[
1.
,
2
,
47
],
[
4
,
5
,
6
],
[
7
,
8
,
9
]]))
# You shouldn't be allowed to pass a non-writeable array to a mutating Eigen method:
zro
=
zr
[
0
:
4
,
0
:
4
]
zro
.
flags
.
writeable
=
False
with
pytest
.
raises
(
TypeError
):
m
.
add_rm
(
zro
,
0
,
0
,
0
)
with
pytest
.
raises
(
TypeError
):
m
.
add_any
(
zro
,
0
,
0
,
0
)
with
pytest
.
raises
(
TypeError
):
m
.
add1
(
zro
,
0
,
0
,
0
)
with
pytest
.
raises
(
TypeError
):
m
.
add2
(
zro
,
0
,
0
,
0
)
# integer array shouldn't be passable to a double-matrix-accepting mutating func:
zi
=
np
.
array
([[
1
,
2
],
[
3
,
4
]])
with
pytest
.
raises
(
TypeError
):
m
.
add_rm
(
zi
)
def
test_numpy_ref_mutators
():
"""Tests numpy mutating Eigen matrices (for returned Eigen::Ref<...>s)"""
m
.
reset_refs
()
# In case another test already changed it
zc
=
m
.
get_cm_ref
()
zcro
=
m
.
get_cm_const_ref
()
zr
=
m
.
get_rm_ref
()
zrro
=
m
.
get_rm_const_ref
()
assert
[
zc
[
1
,
2
],
zcro
[
1
,
2
],
zr
[
1
,
2
],
zrro
[
1
,
2
]]
==
[
23
]
*
4
assert
not
zc
.
flags
.
owndata
and
zc
.
flags
.
writeable
assert
not
zr
.
flags
.
owndata
and
zr
.
flags
.
writeable
assert
not
zcro
.
flags
.
owndata
and
not
zcro
.
flags
.
writeable
assert
not
zrro
.
flags
.
owndata
and
not
zrro
.
flags
.
writeable
zc
[
1
,
2
]
=
99
expect
=
np
.
array
([[
11.
,
12
,
13
],
[
21
,
22
,
99
],
[
31
,
32
,
33
]])
# We should have just changed zc, of course, but also zcro and the original eigen matrix
assert
np
.
all
(
zc
==
expect
)
assert
np
.
all
(
zcro
==
expect
)
assert
np
.
all
(
m
.
get_cm_ref
()
==
expect
)
zr
[
1
,
2
]
=
99
assert
np
.
all
(
zr
==
expect
)
assert
np
.
all
(
zrro
==
expect
)
assert
np
.
all
(
m
.
get_rm_ref
()
==
expect
)
# Make sure the readonly ones are numpy-readonly:
with
pytest
.
raises
(
ValueError
):
zcro
[
1
,
2
]
=
6
with
pytest
.
raises
(
ValueError
):
zrro
[
1
,
2
]
=
6
# We should be able to explicitly copy like this (and since we're copying,
# the const should drop away)
y1
=
np
.
array
(
m
.
get_cm_const_ref
())
assert
y1
.
flags
.
owndata
and
y1
.
flags
.
writeable
# We should get copies of the eigen data, which was modified above:
assert
y1
[
1
,
2
]
==
99
y1
[
1
,
2
]
+=
12
assert
y1
[
1
,
2
]
==
111
assert
zc
[
1
,
2
]
==
99
# Make sure we aren't referencing the original
def
test_both_ref_mutators
():
"""Tests a complex chain of nested eigen/numpy references"""
m
.
reset_refs
()
# In case another test already changed it
z
=
m
.
get_cm_ref
()
# numpy -> eigen
z
[
0
,
2
]
-=
3
z2
=
m
.
incr_matrix
(
z
,
1
)
# numpy -> eigen -> numpy -> eigen
z2
[
1
,
1
]
+=
6
z3
=
m
.
incr_matrix
(
z
,
2
)
# (numpy -> eigen)^3
z3
[
2
,
2
]
+=
-
5
z4
=
m
.
incr_matrix
(
z
,
3
)
# (numpy -> eigen)^4
z4
[
1
,
1
]
-=
1
z5
=
m
.
incr_matrix
(
z
,
4
)
# (numpy -> eigen)^5
z5
[
0
,
0
]
=
0
assert
np
.
all
(
z
==
z2
)
assert
np
.
all
(
z
==
z3
)
assert
np
.
all
(
z
==
z4
)
assert
np
.
all
(
z
==
z5
)
expect
=
np
.
array
([[
0.
,
22
,
20
],
[
31
,
37
,
33
],
[
41
,
42
,
38
]])
assert
np
.
all
(
z
==
expect
)
y
=
np
.
array
(
range
(
100
),
dtype
=
'float64'
)
.
reshape
(
10
,
10
)
y2
=
m
.
incr_matrix_any
(
y
,
10
)
# np -> eigen -> np
y3
=
m
.
incr_matrix_any
(
y2
[
0
::
2
,
0
::
2
],
-
33
)
# np -> eigen -> np slice -> np -> eigen -> np
y4
=
m
.
even_rows
(
y3
)
# numpy -> eigen slice -> (... y3)
y5
=
m
.
even_cols
(
y4
)
# numpy -> eigen slice -> (... y4)
y6
=
m
.
incr_matrix_any
(
y5
,
1000
)
# numpy -> eigen -> (... y5)
# Apply same mutations using just numpy:
yexpect
=
np
.
array
(
range
(
100
),
dtype
=
'float64'
)
.
reshape
(
10
,
10
)
yexpect
+=
10
yexpect
[
0
::
2
,
0
::
2
]
-=
33
yexpect
[
0
::
4
,
0
::
4
]
+=
1000
assert
np
.
all
(
y6
==
yexpect
[
0
::
4
,
0
::
4
])
assert
np
.
all
(
y5
==
yexpect
[
0
::
4
,
0
::
4
])
assert
np
.
all
(
y4
==
yexpect
[
0
::
4
,
0
::
2
])
assert
np
.
all
(
y3
==
yexpect
[
0
::
2
,
0
::
2
])
assert
np
.
all
(
y2
==
yexpect
)
assert
np
.
all
(
y
==
yexpect
)
def
test_nocopy_wrapper
():
# get_elem requires a column-contiguous matrix reference, but should be
# callable with other types of matrix (via copying):
int_matrix_colmajor
=
np
.
array
([[
1
,
2
,
3
],
[
4
,
5
,
6
],
[
7
,
8
,
9
]],
order
=
'F'
)
dbl_matrix_colmajor
=
np
.
array
(
int_matrix_colmajor
,
dtype
=
'double'
,
order
=
'F'
,
copy
=
True
)
int_matrix_rowmajor
=
np
.
array
(
int_matrix_colmajor
,
order
=
'C'
,
copy
=
True
)
dbl_matrix_rowmajor
=
np
.
array
(
int_matrix_rowmajor
,
dtype
=
'double'
,
order
=
'C'
,
copy
=
True
)
# All should be callable via get_elem:
assert
m
.
get_elem
(
int_matrix_colmajor
)
==
8
assert
m
.
get_elem
(
dbl_matrix_colmajor
)
==
8
assert
m
.
get_elem
(
int_matrix_rowmajor
)
==
8
assert
m
.
get_elem
(
dbl_matrix_rowmajor
)
==
8
# All but the second should fail with m.get_elem_nocopy:
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
m
.
get_elem_nocopy
(
int_matrix_colmajor
)
assert
(
'get_elem_nocopy(): incompatible function arguments.'
in
str
(
excinfo
.
value
)
and
', flags.f_contiguous'
in
str
(
excinfo
.
value
))
assert
m
.
get_elem_nocopy
(
dbl_matrix_colmajor
)
==
8
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
m
.
get_elem_nocopy
(
int_matrix_rowmajor
)
assert
(
'get_elem_nocopy(): incompatible function arguments.'
in
str
(
excinfo
.
value
)
and
', flags.f_contiguous'
in
str
(
excinfo
.
value
))
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
m
.
get_elem_nocopy
(
dbl_matrix_rowmajor
)
assert
(
'get_elem_nocopy(): incompatible function arguments.'
in
str
(
excinfo
.
value
)
and
', flags.f_contiguous'
in
str
(
excinfo
.
value
))
# For the row-major test, we take a long matrix in row-major, so only the third is allowed:
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
m
.
get_elem_rm_nocopy
(
int_matrix_colmajor
)
assert
(
'get_elem_rm_nocopy(): incompatible function arguments.'
in
str
(
excinfo
.
value
)
and
', flags.c_contiguous'
in
str
(
excinfo
.
value
))
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
m
.
get_elem_rm_nocopy
(
dbl_matrix_colmajor
)
assert
(
'get_elem_rm_nocopy(): incompatible function arguments.'
in
str
(
excinfo
.
value
)
and
', flags.c_contiguous'
in
str
(
excinfo
.
value
))
assert
m
.
get_elem_rm_nocopy
(
int_matrix_rowmajor
)
==
8
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
m
.
get_elem_rm_nocopy
(
dbl_matrix_rowmajor
)
assert
(
'get_elem_rm_nocopy(): incompatible function arguments.'
in
str
(
excinfo
.
value
)
and
', flags.c_contiguous'
in
str
(
excinfo
.
value
))
def
test_eigen_ref_life_support
():
"""Ensure the lifetime of temporary arrays created by the `Ref` caster
The `Ref` caster sometimes creates a copy which needs to stay alive. This needs to
happen both for directs casts (just the array) or indirectly (e.g. list of arrays).
"""
a
=
np
.
full
(
shape
=
10
,
fill_value
=
8
,
dtype
=
np
.
int8
)
assert
m
.
get_elem_direct
(
a
)
==
8
list_of_a
=
[
a
]
assert
m
.
get_elem_indirect
(
list_of_a
)
==
8
def
test_special_matrix_objects
():
assert
np
.
all
(
m
.
incr_diag
(
7
)
==
np
.
diag
([
1.
,
2
,
3
,
4
,
5
,
6
,
7
]))
asymm
=
np
.
array
([[
1.
,
2
,
3
,
4
],
[
5
,
6
,
7
,
8
],
[
9
,
10
,
11
,
12
],
[
13
,
14
,
15
,
16
]])
symm_lower
=
np
.
array
(
asymm
)
symm_upper
=
np
.
array
(
asymm
)
for
i
in
range
(
4
):
for
j
in
range
(
i
+
1
,
4
):
symm_lower
[
i
,
j
]
=
symm_lower
[
j
,
i
]
symm_upper
[
j
,
i
]
=
symm_upper
[
i
,
j
]
assert
np
.
all
(
m
.
symmetric_lower
(
asymm
)
==
symm_lower
)
assert
np
.
all
(
m
.
symmetric_upper
(
asymm
)
==
symm_upper
)
def
test_dense_signature
(
doc
):
assert
doc
(
m
.
double_col
)
==
"""
double_col(arg0: numpy.ndarray[float32[m, 1]]) -> numpy.ndarray[float32[m, 1]]
"""
assert
doc
(
m
.
double_row
)
==
"""
double_row(arg0: numpy.ndarray[float32[1, n]]) -> numpy.ndarray[float32[1, n]]
"""
assert
doc
(
m
.
double_complex
)
==
"""
double_complex(arg0: numpy.ndarray[complex64[m, 1]]) -> numpy.ndarray[complex64[m, 1]]
"""
assert
doc
(
m
.
double_mat_rm
)
==
"""
double_mat_rm(arg0: numpy.ndarray[float32[m, n]]) -> numpy.ndarray[float32[m, n]]
"""
def
test_named_arguments
():
a
=
np
.
array
([[
1.0
,
2
],
[
3
,
4
],
[
5
,
6
]])
b
=
np
.
ones
((
2
,
1
))
assert
np
.
all
(
m
.
matrix_multiply
(
a
,
b
)
==
np
.
array
([[
3.
],
[
7
],
[
11
]]))
assert
np
.
all
(
m
.
matrix_multiply
(
A
=
a
,
B
=
b
)
==
np
.
array
([[
3.
],
[
7
],
[
11
]]))
assert
np
.
all
(
m
.
matrix_multiply
(
B
=
b
,
A
=
a
)
==
np
.
array
([[
3.
],
[
7
],
[
11
]]))
with
pytest
.
raises
(
ValueError
)
as
excinfo
:
m
.
matrix_multiply
(
b
,
a
)
assert
str
(
excinfo
.
value
)
==
'Nonconformable matrices!'
with
pytest
.
raises
(
ValueError
)
as
excinfo
:
m
.
matrix_multiply
(
A
=
b
,
B
=
a
)
assert
str
(
excinfo
.
value
)
==
'Nonconformable matrices!'
with
pytest
.
raises
(
ValueError
)
as
excinfo
:
m
.
matrix_multiply
(
B
=
a
,
A
=
b
)
assert
str
(
excinfo
.
value
)
==
'Nonconformable matrices!'
@pytest.requires_eigen_and_scipy
def
test_sparse
():
assert_sparse_equal_ref
(
m
.
sparse_r
())
assert_sparse_equal_ref
(
m
.
sparse_c
())
assert_sparse_equal_ref
(
m
.
sparse_copy_r
(
m
.
sparse_r
()))
assert_sparse_equal_ref
(
m
.
sparse_copy_c
(
m
.
sparse_c
()))
assert_sparse_equal_ref
(
m
.
sparse_copy_r
(
m
.
sparse_c
()))
assert_sparse_equal_ref
(
m
.
sparse_copy_c
(
m
.
sparse_r
()))
@pytest.requires_eigen_and_scipy
def
test_sparse_signature
(
doc
):
assert
doc
(
m
.
sparse_copy_r
)
==
"""
sparse_copy_r(arg0: scipy.sparse.csr_matrix[float32]) -> scipy.sparse.csr_matrix[float32]
"""
# noqa: E501 line too long
assert
doc
(
m
.
sparse_copy_c
)
==
"""
sparse_copy_c(arg0: scipy.sparse.csc_matrix[float32]) -> scipy.sparse.csc_matrix[float32]
"""
# noqa: E501 line too long
def
test_issue738
():
"""Ignore strides on a length-1 dimension (even if they would be incompatible length > 1)"""
assert
np
.
all
(
m
.
iss738_f1
(
np
.
array
([[
1.
,
2
,
3
]]))
==
np
.
array
([[
1.
,
102
,
203
]]))
assert
np
.
all
(
m
.
iss738_f1
(
np
.
array
([[
1.
],
[
2
],
[
3
]]))
==
np
.
array
([[
1.
],
[
12
],
[
23
]]))
assert
np
.
all
(
m
.
iss738_f2
(
np
.
array
([[
1.
,
2
,
3
]]))
==
np
.
array
([[
1.
,
102
,
203
]]))
assert
np
.
all
(
m
.
iss738_f2
(
np
.
array
([[
1.
],
[
2
],
[
3
]]))
==
np
.
array
([[
1.
],
[
12
],
[
23
]]))
def
test_issue1105
():
"""Issue 1105: 1xN or Nx1 input arrays weren't accepted for eigen
compile-time row vectors or column vector"""
assert
m
.
iss1105_row
(
np
.
ones
((
1
,
7
)))
assert
m
.
iss1105_col
(
np
.
ones
((
7
,
1
)))
# These should still fail (incompatible dimensions):
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
m
.
iss1105_row
(
np
.
ones
((
7
,
1
)))
assert
"incompatible function arguments"
in
str
(
excinfo
.
value
)
with
pytest
.
raises
(
TypeError
)
as
excinfo
:
m
.
iss1105_col
(
np
.
ones
((
1
,
7
)))
assert
"incompatible function arguments"
in
str
(
excinfo
.
value
)
def
test_custom_operator_new
():
"""Using Eigen types as member variables requires a class-specific
operator new with proper alignment"""
o
=
m
.
CustomOperatorNew
()
np
.
testing
.
assert_allclose
(
o
.
a
,
0.0
)
np
.
testing
.
assert_allclose
(
o
.
b
.
diagonal
(),
1.0
)
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