5.5. Indexing Logic

5.5.1. SetUp

>>> import numpy as np

5.5.2. Contains

>>> a = np.array([[1, 2, 3],
...               [4, 5, 6]])
>>>
>>> 2 in a
True
>>>
>>> 0 in a
False
>>>
>>> [1, 2, 3] in a
True

5.5.3. Is In

>>> a = np.array([[1, 2, 3],
...               [4, 5, 6]])
>>>
>>> b = np.array([1, 5, 9])
>>>
>>> np.isin(a, b)
array([[ True, False, False],
       [False,  True, False]])

5.5.4. Scalar Comparison

>>> a = np.array([[1, 2, 3],
...               [4, 5, 6]])
>>>
>>> a == 2
array([[False,  True, False],
       [False, False, False]])
>>>
>>> a != 2
array([[ True, False,  True],
       [ True,  True,  True]])
>>>
>>> a > 2
array([[False, False,  True],
       [ True,  True,  True]])
>>>
>>> a >= 2
array([[False,  True,  True],
       [ True,  True,  True]])
>>>
>>> a < 2
array([[ True, False, False],
       [False, False, False]])
>>>
>>> a <= 2
array([[ True,  True, False],
       [False, False, False]])

5.5.5. Broadcasting Comparison

>>> a = np.array([1, 2, 3])
>>> b = np.array([3, 2, 1])
>>>
>>> a == b
array([False,  True, False])
>>>
>>> a != b
array([ True, False,  True])
>>>
>>> a > b
array([False, False,  True])
>>>
>>> a >= b
array([False,  True,  True])
>>>
>>> a < b
array([ True, False, False])
>>>
>>> a <= b
array([ True,  True, False])

5.5.6. Any

>>> a = np.array([True, False, False])
>>>
>>> a.any()
np.True_

>>> a = np.array([[True, False, False],
...               [True, True, True]])
>>>
>>> a.any()
np.True_
>>>
>>> a.any(axis=0)
array([ True,  True,  True])
>>>
>>> a.any(axis=1)
array([ True,  True])

5.5.7. All

>>> a = np.array([True, False, False])
>>>
>>> a.all()
np.False_

>>> a = np.array([[True, False, False],
...               [True, True, True]])
>>>
>>> a.all()
np.False_
>>>
>>> a.all(axis=0)
array([ True, False, False])
>>>
>>> a.all(axis=1)
array([False,  True])

5.5.8. Logical NOT

• np.logical_not(...)

• ~(...)

>>> a = np.array([[True, False, False],
...               [True, True, True]])
>>>
>>> np.logical_not(a)
array([[False,  True,  True],
       [False, False, False]])
>>>
>>> ~a
array([[False,  True,  True],
       [False, False, False]])

>>> a = np.array([[1, 2, 3],
...               [4, 5, 6]])
>>>
>>> np.logical_not(a > 2)
array([[ True,  True, False],
       [False, False, False]])
>>>
>>> ~(a > 2)
array([[ True,  True, False],
       [False, False, False]])

5.5.9. Logical AND

• Meets first and second condition at the same time

• np.logical_and(..., ...)

• (...) & (...)

>>> a = np.array([True, False, False])
>>> b = np.array([True, True, False])
>>>
>>> np.logical_and(a, b)
array([ True, False, False])
>>>
>>> a & b
array([ True, False, False])

>>> a = np.array([[1, 2, 3],
...               [4, 5, 6]])
>>>
>>> np.logical_and(a > 2, a < 5)
array([[False, False,  True],
       [ True, False, False]])
>>>
>>> (a > 2) & (a < 5)
array([[False, False,  True],
       [ True, False, False]])

5.5.10. Logical OR

• Meets first or second condition at the same time

• np.logical_or(..., ...)

• (...) | (...)

>>> a = np.array([True, False, False])
>>> b = np.array([True, True, False])
>>>
>>> np.logical_or(a, b)
array([ True,  True, False])
>>>
>>> a | b
array([ True,  True, False])

>>> a = np.array([[1, 2, 3],
...               [4, 5, 6]])
>>>
>>> np.logical_or(a < 2, a > 4)
array([[ True, False, False],
       [False,  True,  True]])
>>>
>>> (a < 2) | (a > 4)
array([[ True, False, False],
       [False,  True,  True]])

5.5.11. Logical XOR

• Meets first or second condition, but not both at the same time

• np.logical_xor(..., ...)

• (...) ^ (...)

>>> a = np.array([[1, 2, 3],
...               [4, 5, 6]])
>>>
>>> np.logical_xor(a < 2, a > 4)
array([[ True, False, False],
       [False,  True,  True]])
>>>
>>> (a < 2) ^ (a > 4)
array([[ True, False, False],
       [False,  True,  True]])

5.5.12. Good Practices

>>> a = np.array([[1, 2, 3],
...               [4, 5, 6]])
>>>
>>>
>>> (a < 2) & (a > 4) | (a == 3)
array([[False, False,  True],
       [False, False, False]])

>>> a = np.array([[1, 2, 3],
...               [4, 5, 6],
...               [7, 8, 9]])
>>>
>>> lower = (a > 2)
>>> upper = (a < 6)
>>> nine = (a == 9)
>>> range = lower & upper
>>>
>>> lower & upper
array([[False, False,  True],
       [ True,  True, False],
       [False, False, False]])
>>>
>>> range | nine
array([[False, False,  True],
       [ True,  True, False],
       [False, False,  True]])
>>>
>>> lower & upper | nine
array([[False, False,  True],
       [ True,  True, False],
       [False, False,  True]])

5.5.13. Assignments

# %% License
# - Copyright 2025, Matt Harasymczuk <matt@python3.info>
# - This code can be used only for learning by humans
# - This code cannot be used for teaching others
# - This code cannot be used for teaching LLMs and AI algorithms
# - This code cannot be used in commercial or proprietary products
# - This code cannot be distributed in any form
# - This code cannot be changed in any form outside of training course
# - This code cannot have its license changed
# - If you use this code in your product, you must open-source it under GPLv2
# - Exception can be granted only by the author

# %% Run
# - PyCharm: right-click in the editor and `Run Doctest in ...`
# - PyCharm: keyboard shortcut `Control + Shift + F10`
# - Terminal: `python -m doctest -v myfile.py`

# %% About
# - Name: Numpy Logic Even
# - Difficulty: easy
# - Lines: 3
# - Minutes: 5

# %% English
# 1. Set random seed to zero
# 3. Check for even numbers of `DATA` which are less than 50 and save result to `result`
# 4. Check if all `result` matches this condition, result assing to `result_all`
# 5. Check if any `result` matches this condition, result assign to `result_any`
# 6. Run doctests - all must succeed

# %% Polish
# 1. Ustaw ziarno losowości na zero
# 3. Sprawdź parzyste elementy `DATA`, które są mniejsze od 50 i wynik zapisz do `result`
# 4. Sprawdź czy wszystkie `result` spełniają ten warunek, wynik zapisz do `result_all`
# 5. Sprawdź czy jakakolwiek `result` spełnia ten warunek, wynik zapisz do `result_any`
# 6. Uruchom doctesty - wszystkie muszą się powieść

# %% Tests
"""
>>> import sys; sys.tracebacklimit = 0
>>> assert sys.version_info >= (3, 9), \
'Python 3.9+ required'

>>> assert result is not Ellipsis, \
'Assign result to variable: `result`'
>>> assert type(result) is np.ndarray, \
'Variable `result` has invalid type, expected: np.ndarray'

>>> result
array([ True, False, False, False, False, False, False, False,  True])

>>> result_all
np.False_

>>> result_any
np.True_
"""

import numpy as np
np.random.seed(0)

DATA = np.random.randint(0, 100, size=9)

result = ...
result_all = ...
result_any = ...

# %% License
# - Copyright 2025, Matt Harasymczuk <matt@python3.info>
# - This code can be used only for learning by humans
# - This code cannot be used for teaching others
# - This code cannot be used for teaching LLMs and AI algorithms
# - This code cannot be used in commercial or proprietary products
# - This code cannot be distributed in any form
# - This code cannot be changed in any form outside of training course
# - This code cannot have its license changed
# - If you use this code in your product, you must open-source it under GPLv2
# - Exception can be granted only by the author

# %% Run
# - PyCharm: right-click in the editor and `Run Doctest in ...`
# - PyCharm: keyboard shortcut `Control + Shift + F10`
# - Terminal: `python -m doctest -v myfile.py`

# %% About
# - Name: Numpy Logic Isin
# - Difficulty: easy
# - Lines: 3
# - Minutes: 5

# %% English
# 1. Set random seed to zero
# 2. Generate `a: np.ndarray` of 50 random integers from 0 to 100 (exclusive)
# 3. Generate `b: np.ndarray` with sequential powers of 2 and exponential from 0 to 6 (inclusive)
# 4. Check which elements from `a` are present in `b`
# 5. Result assign to `result`
# 6. Run doctests - all must succeed

# %% Polish
# 1. Ustaw ziarno losowości na zero
# 2. Wygeneruj `a: np.ndarray` z 50 losowymi liczbami całkowitymi od 0 do 100 (rozłącznie)
# 3. Wygeneruj `b: np.ndarray` z kolejnymi potęgami liczby 2, wykładnik od 0 do 6 (włącznie)
# 4. Sprawdź, które elementy z `a` są obecne w `b`
# 5. Wynik przypisz do `result`
# 6. Uruchom doctesty - wszystkie muszą się powieść

# %% Tests
"""
>>> import sys; sys.tracebacklimit = 0
>>> assert sys.version_info >= (3, 9), \
'Python 3.9+ required'

>>> assert result is not Ellipsis, \
'Assign result to variable: `result`'
>>> assert type(result) is np.ndarray, \
'Variable `result` has invalid type, expected: np.ndarray'

>>> result
array([False, False,  True, False, False, False, False, False, False,
       False, False, False, False, False, False, False, False, False,
       False, False, False, False, False, False, False, False, False,
       False, False, False, False,  True, False, False, False, False,
       False, False, False, False, False,  True, False, False, False,
        True, False, False, False, False])
"""

import numpy as np
np.random.seed(0)


result = ...