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test_utils.py
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import
pytest
from
utils
import
*
# noqa
def
test_removeall_list
():
assert
removeall
(
4
, [])
==
[]
assert
removeall
(
4
, [
1
,
2
,
3
,
4
])
==
[
1
,
2
,
3
]
assert
removeall
(
4
, [
4
,
1
,
4
,
2
,
3
,
4
,
4
])
==
[
1
,
2
,
3
]
def
test_removeall_string
():
assert
removeall
(
's'
,
''
)
==
''
assert
removeall
(
's'
,
'This is a test. Was a test.'
)
==
'Thi i a tet. Wa a tet.'
def
test_unique
():
assert
unique
([
1
,
2
,
3
,
2
,
1
])
==
[
1
,
2
,
3
]
assert
unique
([
1
,
5
,
6
,
7
,
6
,
5
])
==
[
1
,
5
,
6
,
7
]
def
test_product
():
assert
product
([
1
,
2
,
3
,
4
])
==
24
assert
product
(
list
(
range
(
1
,
11
)))
==
3628800
def
test_first
():
assert
first
(
'word'
)
==
'w'
assert
first
(
''
)
is
None
assert
first
(
''
,
'empty'
)
==
'empty'
assert
first
(
range
(
10
))
==
0
assert
first
(
x
for
x
in
range
(
10
)
if
x
>
3
)
==
4
assert
first
(
x
for
x
in
range
(
10
)
if
x
>
100
)
is
None
def
test_is_in
():
e
=
[]
assert
is_in
(
e
, [
1
,
e
,
3
])
is
True
assert
is_in
(
e
, [
1
, [],
3
])
is
False
def
test_argminmax
():
assert
argmin
([
-
2
,
1
],
key
=
abs
)
==
1
assert
argmax
([
-
2
,
1
],
key
=
abs
)
==
-
2
assert
argmax
([
'one'
,
'to'
,
'three'
],
key
=
len
)
==
'three'
def
test_histogram
():
assert
histogram
([
1
,
2
,
4
,
2
,
4
,
5
,
7
,
9
,
2
,
1
])
==
[(
1
,
2
), (
2
,
3
),
(
4
,
2
), (
5
,
1
),
(
7
,
1
), (
9
,
1
)]
assert
histogram
([
1
,
2
,
4
,
2
,
4
,
5
,
7
,
9
,
2
,
1
],
0
,
lambda
x
:
x
*
x
)
==
[(
1
,
2
), (
4
,
3
),
(
16
,
2
), (
25
,
1
),
(
49
,
1
), (
81
,
1
)]
assert
histogram
([
1
,
2
,
4
,
2
,
4
,
5
,
7
,
9
,
2
,
1
],
1
)
==
[(
2
,
3
), (
4
,
2
),
(
1
,
2
), (
9
,
1
),
(
7
,
1
), (
5
,
1
)]
def
test_dotproduct
():
assert
dotproduct
([
1
,
2
,
3
], [
1000
,
100
,
10
])
==
1230
def
test_element_wise_product
():
assert
element_wise_product
([
1
,
2
,
5
], [
7
,
10
,
0
])
==
[
7
,
20
,
0
]
assert
element_wise_product
([
1
,
6
,
3
,
0
], [
9
,
12
,
0
,
0
])
==
[
9
,
72
,
0
,
0
]
def
test_matrix_multiplication
():
assert
matrix_multiplication
([[
1
,
2
,
3
],
[
2
,
3
,
4
]],
[[
3
,
4
],
[
1
,
2
],
[
1
,
0
]])
==
[[
8
,
8
], [
13
,
14
]]
assert
matrix_multiplication
([[
1
,
2
,
3
],
[
2
,
3
,
4
]],
[[
3
,
4
,
8
,
1
],
[
1
,
2
,
5
,
0
],
[
1
,
0
,
0
,
3
]],
[[
1
,
2
],
[
3
,
4
],
[
5
,
6
],
[
1
,
2
]])
==
[[
132
,
176
], [
224
,
296
]]
def
test_vector_to_diagonal
():
assert
vector_to_diagonal
([
1
,
2
,
3
])
==
[[
1
,
0
,
0
], [
0
,
2
,
0
], [
0
,
0
,
3
]]
assert
vector_to_diagonal
([
0
,
3
,
6
])
==
[[
0
,
0
,
0
], [
0
,
3
,
0
], [
0
,
0
,
6
]]
def
test_vector_add
():
assert
vector_add
((
0
,
1
), (
8
,
9
))
==
(
8
,
10
)
def
test_scalar_vector_product
():
assert
scalar_vector_product
(
2
, [
1
,
2
,
3
])
==
[
2
,
4
,
6
]
def
test_scalar_matrix_product
():
assert
rounder
(
scalar_matrix_product
(
-
5
, [[
1
,
2
], [
3
,
4
], [
0
,
6
]]))
==
[[
-
5
,
-
10
], [
-
15
,
-
20
],
[
0
,
-
30
]]
assert
rounder
(
scalar_matrix_product
(
0.2
, [[
1
,
2
], [
2
,
3
]]))
==
[[
0.2
,
0.4
], [
0.4
,
0.6
]]
def
test_inverse_matrix
():
assert
rounder
(
inverse_matrix
([[
1
,
0
], [
0
,
1
]]))
==
[[
1
,
0
], [
0
,
1
]]
assert
rounder
(
inverse_matrix
([[
2
,
1
], [
4
,
3
]]))
==
[[
1.5
,
-
0.5
], [
-
2.0
,
1.0
]]
assert
rounder
(
inverse_matrix
([[
4
,
7
], [
2
,
6
]]))
==
[[
0.6
,
-
0.7
], [
-
0.2
,
0.4
]]
def
test_rounder
():
assert
rounder
(
5.3330000300330
)
==
5.3330
assert
rounder
(
10.234566
)
==
10.2346
assert
rounder
([
1.234566
,
0.555555
,
6.010101
])
==
[
1.2346
,
0.5556
,
6.0101
]
assert
rounder
([[
1.234566
,
0.555555
,
6.010101
],
[
10.505050
,
12.121212
,
6.030303
]])
==
[[
1.2346
,
0.5556
,
6.0101
],
[
10.5051
,
12.1212
,
6.0303
]]
def
test_num_or_str
():
assert
num_or_str
(
'42'
)
==
42
assert
num_or_str
(
' 42x '
)
==
'42x'
def
test_normalize
():
assert
normalize
([
1
,
2
,
1
])
==
[
0.25
,
0.5
,
0.25
]
def
test_clip
():
assert
[
clip
(
x
,
0
,
1
)
for
x
in
[
-
1
,
0.5
,
10
]]
==
[
0
,
0.5
,
1
]
def
test_sigmoid
():
assert
isclose
(
0.5
,
sigmoid
(
0
))
assert
isclose
(
0.7310585786300049
,
sigmoid
(
1
))
assert
isclose
(
0.2689414213699951
,
sigmoid
(
-
1
))
def
test_step
():
assert
step
(
1
)
==
step
(
0.5
)
==
1
assert
step
(
0
)
==
1
assert
step
(
-
1
)
==
step
(
-
0.5
)
==
0
def
test_Expr
():
A
,
B
,
C
=
symbols
(
'A, B, C'
)
assert
symbols
(
'A, B, C'
)
==
(
Symbol
(
'A'
),
Symbol
(
'B'
),
Symbol
(
'C'
))
assert
A
.
op
==
repr
(
A
)
==
'A'
assert
arity
(
A
)
==
0
and
A
.
args
==
()
b
=
Expr
(
'+'
,
A
,
1
)
assert
arity
(
b
)
==
2
and
b
.
op
==
'+'
and
b
.
args
==
(
A
,
1
)
u
=
Expr
(
'-'
,
b
)
assert
arity
(
u
)
==
1
and
u
.
op
==
'-'
and
u
.
args
==
(
b
,)
assert
(
b
**
u
)
==
(
b
**
u
)
assert
(
b
**
u
)
!=
(
u
**
b
)
assert
A
+
b
*
C
**
2
==
A
+
(
b
*
(
C
**
2
))
ex
=
C
+
1
/
(
A
%
1
)
assert
list
(
subexpressions
(
ex
))
==
[(
C
+
(
1
/
(
A
%
1
))),
C
, (
1
/
(
A
%
1
)),
1
, (
A
%
1
),
A
,
1
]
assert
A
in
subexpressions
(
ex
)
assert
B
not
in
subexpressions
(
ex
)
def
test_expr
():
P
,
Q
,
x
,
y
,
z
,
GP
=
symbols
(
'P, Q, x, y, z, GP'
)
assert
(
expr
(
y
+
2
*
x
)
==
expr
(
'y + 2 * x'
)
==
Expr
(
'+'
,
y
,
Expr
(
'*'
,
2
,
x
)))
assert
expr
(
'P & Q ==> P'
)
==
Expr
(
'==>'
,
P
&
Q
,
P
)
assert
expr
(
'P & Q <=> Q & P'
)
==
Expr
(
'<=>'
, (
P
&
Q
), (
Q
&
P
))
assert
expr
(
'P(x) | P(y) & Q(z)'
)
==
(
P
(
x
)
|
(
P
(
y
)
&
Q
(
z
)))
# x is grandparent of z if x is parent of y and y is parent of z:
assert
(
expr
(
'GP(x, z) <== P(x, y) & P(y, z)'
)
==
Expr
(
'<=='
,
GP
(
x
,
z
),
P
(
x
,
y
)
&
P
(
y
,
z
)))
if
__name__
==
'__main__'
:
pytest
.
main
()
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