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import
pytest
from
utils
import
*
import
random
def
test_sequence
():
assert
sequence
(
1
)
==
(
1
,)
assert
sequence
(
"helloworld"
)
==
"helloworld"
assert
sequence
({
"hello"
:
4
,
"world"
:
5
})
==
({
"hello"
:
4
,
"world"
:
5
},)
assert
sequence
([
1
,
2
,
3
])
==
[
1
,
2
,
3
]
assert
sequence
((
4
,
5
,
6
))
==
(
4
,
5
,
6
)
assert
sequence
([(
1
,
2
),(
2
,
3
),(
4
,
5
)])
==
[(
1
,
2
), (
2
,
3
),(
4
,
5
)]
assert
sequence
(([
1
,
2
],[
3
,
4
],[
5
,
6
]))
==
([
1
,
2
], [
3
,
4
],[
5
,
6
])
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
]
assert
removeall
(
1
, [
2
,
3
,
4
,
5
,
6
])
==
[
2
,
3
,
4
,
5
,
6
]
def
test_removeall_string
():
assert
removeall
(
's'
,
''
)
==
''
assert
removeall
(
's'
,
'This is a test. Was a test.'
)
==
'Thi i a tet. Wa a tet.'
assert
removeall
(
'a'
,
'artificial intelligence: a modern approach'
)
==
'rtificil intelligence: modern pproch'
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
]
assert
unique
([
1
,
2
,
3
,
4
,
5
])
==
[
1
,
2
,
3
,
4
,
5
]
def
test_count
():
assert
count
([
1
,
2
,
3
,
4
,
2
,
3
,
4
])
==
7
assert
count
(
"aldpeofmhngvia"
)
==
14
assert
count
([
True
,
False
,
True
,
True
,
False
])
==
3
assert
count
([
5
>
1
,
len
(
"abc"
)
==
3
,
3
+
1
==
5
])
==
2
assert
count
(
"aima"
)
==
4
def
test_multimap
():
assert
multimap
([(
1
,
2
),(
1
,
3
),(
1
,
4
),(
2
,
3
),(
2
,
4
),(
4
,
5
)])
==
\
{
1
: [
2
,
3
,
4
],
2
: [
3
,
4
],
4
: [
5
]}
assert
multimap
([(
"a"
,
2
), (
"a"
,
3
), (
"a"
,
4
), (
"b"
,
3
), (
"b"
,
4
), (
"c"
,
5
)])
==
\
{
'a'
: [
2
,
3
,
4
],
'b'
: [
3
,
4
],
'c'
: [
5
]}
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
([
1
,
2
,
3
,
4
,
5
])
==
1
assert
first
([])
==
None
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
assert
first
((
1
,
2
,
3
))
==
1
assert
first
(
range
(
2
,
10
))
==
2
assert
first
([(
1
,
2
),(
1
,
3
),(
1
,
4
)])
==
(
1
,
2
)
assert
first
({
1
:
"one"
,
2
:
"two"
,
3
:
"three"
})
==
1
def
test_is_in
():
e
=
[]
assert
is_in
(
e
, [
1
,
e
,
3
])
is
True
assert
is_in
(
e
, [
1
, [],
3
])
is
False
def
test_mode
():
assert
mode
([
12
,
32
,
2
,
1
,
2
,
3
,
2
,
3
,
2
,
3
,
44
,
3
,
12
,
4
,
9
,
0
,
3
,
45
,
3
])
==
3
assert
mode
(
"absndkwoajfkalwpdlsdlfllalsflfdslgflal"
)
==
'l'
assert
mode
(
"artificialintelligence"
)
==
'i'
def
test_powerset
():
assert
powerset
([
1
,
2
,
3
])
==
[(
1
,), (
2
,), (
3
,), (
1
,
2
), (
1
,
3
), (
2
,
3
), (
1
,
2
,
3
)]
def
test_argminmax
():
assert
argmin
([
-
2
,
1
],
key
=
abs
)
==
1
assert
argmin
([
'one'
,
'to'
,
'three'
],
key
=
len
)
==
'to'
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
assert
dotproduct
([
1
,
2
,
3
], [
0
,
0
,
0
])
==
0
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
)
assert
vector_add
((
1
,
1
,
1
), (
2
,
2
,
2
))
==
(
3
,
3
,
3
)
def
test_scalar_vector_product
():
assert
scalar_vector_product
(
2
, [
1
,
2
,
3
])
==
[
2
,
4
,
6
]
assert
scalar_vector_product
(
0
, [
9
,
9
,
9
])
==
[
0
,
0
,
0
]
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_norm
():
assert
isclose
(
norm
([
1
,
2
,
1
],
1
),
4
)
assert
isclose
(
norm
([
3
,
4
],
2
),
5
)
assert
isclose
(
norm
([
-
1
,
1
,
2
],
4
),
18
**
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_gaussian
():
assert
gaussian
(
1
,
0.5
,
0.7
)
==
0.6664492057835993
assert
gaussian
(
5
,
2
,
4.5
)
==
0.19333405840142462
assert
gaussian
(
3
,
1
,
3
)
==
0.3989422804014327
def
test_sigmoid_derivative
():
value
=
1
assert
sigmoid_derivative
(
value
)
==
0
value
=
3
assert
sigmoid_derivative
(
value
)
==
-
6
def
test_weighted_choice
():
choices
=
[(
'a'
,
0.5
), (
'b'
,
0.3
), (
'c'
,
0.2
)]
choice
=
weighted_choice
(
choices
)
assert
choice
in
choices
def
compare_list
(
x
,
y
):
return
all
([
elm_x
==
y
[
i
]
for
i
,
elm_x
in
enumerate
(
x
)])
def
test_distance
():
assert
distance
((
1
,
2
), (
5
,
5
))
==
5.0
def
test_distance_squared
():
assert
distance_squared
((
1
,
2
), (
5
,
5
))
==
25.0
def
test_vector_clip
():
assert
vector_clip
((
-
1
,
10
), (
0
,
0
), (
9
,
9
))
==
(
0
,
9
)
def
test_turn_heading
():
assert
turn_heading
((
0
,
1
),
1
)
==
(
-
1
,
0
)
assert
turn_heading
((
0
,
1
),
-
1
)
==
(
1
,
0
)
assert
turn_heading
((
1
,
0
),
1
)
==
(
0
,
1
)
assert
turn_heading
((
1
,
0
),
-
1
)
==
(
0
,
-
1
)
assert
turn_heading
((
0
,
-
1
),
1
)
==
(
1
,
0
)
assert
turn_heading
((
0
,
-
1
),
-
1
)
==
(
-
1
,
0
)
assert
turn_heading
((
-
1
,
0
),
1
)
==
(
0
,
-
1
)
assert
turn_heading
((
-
1
,
0
),
-
1
)
==
(
0
,
1
)
def
test_turn_left
():
assert
turn_left
((
0
,
1
))
==
(
-
1
,
0
)
def
test_turn_right
():
assert
turn_right
((
0
,
1
))
==
(
1
,
0
)
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
)))
def
test_min_priorityqueue
():
queue
=
PriorityQueue
(
f
=
lambda
x
:
x
[
1
])
queue
.
append
((
1
,
100
))
queue
.
append
((
2
,
30
))
queue
.
append
((
3
,
50
))
assert
queue
.
pop
()
==
(
2
,
30
)
assert
len
(
queue
)
==
2
assert
queue
[(
3
,
50
)]
==
50
assert
(
1
,
100
)
in
queue
del
queue
[(
1
,
100
)]
assert
(
1
,
100
)
not
in
queue
queue
.
extend
([(
1
,
100
), (
4
,
10
)])
assert
queue
.
pop
()
==
(
4
,
10
)
assert
len
(
queue
)
==
2
def
test_max_priorityqueue
():
queue
=
PriorityQueue
(
order
=
'max'
,
f
=
lambda
x
:
x
[
1
])
queue
.
append
((
1
,
100
))
queue
.
append
((
2
,
30
))
queue
.
append
((
3
,
50
))
assert
queue
.
pop
()
==
(
1
,
100
)
def
test_priorityqueue_with_objects
():
class
Test
:
def
__init__
(
self
,
a
,
b
):
self
.
a
=
a
self
.
b
=
b
def
__eq__
(
self
,
other
):
return
self
.
a
==
other
.
a
queue
=
PriorityQueue
(
f
=
lambda
x
:
x
.
b
)
queue
.
append
(
Test
(
1
,
100
))
other
=
Test
(
1
,
10
)
assert
queue
[
other
]
==
100
assert
other
in
queue
del
queue
[
other
]
assert
len
(
queue
)
==
0
if
__name__
==
'__main__'
:
pytest
.
main
()
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