From 0321a5e9fe028792c91d5eb3fe6ecda43dd560b9 Mon Sep 17 00:00:00 2001
From: nadavtzaysler <110530309+nadavtzaysler@users.noreply.github.com>
Date: Wed, 5 Jun 2024 10:46:58 +0300
Subject: [PATCH 1/3] added re-factored code for clean code excercise

---
 main.py | 101 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 101 insertions(+)
 create mode 100644 main.py

diff --git a/main.py b/main.py
new file mode 100644
index 0000000..3fe6be1
--- /dev/null
+++ b/main.py
@@ -0,0 +1,101 @@
+import math
+
+def calculate_sum(num: int) -> int:
+    if num <= 0:
+        return 0
+    return sum(range(num))
+
+def is_prime(num: int) -> bool:
+    for i in range(2, int(math.sqrt(num)) + 1):
+        if num % i == 0:
+            return False
+    return num > 2
+
+def factorial(num: int) -> int | None:
+    if num < 0:
+        raise ValueError("Negative values are not supported.")
+    elif num == 0:
+        return 1
+    else:
+        result = 1
+        for i in range(1, num + 1):
+            result *= i
+        return result
+
+def recursive_factorial(num: int) -> int | None:
+    if num < 0:
+        raise ValueError("Negative values are not supported.")
+    elif num == 0 or num == 1:
+        return 1
+    else:
+        return num * recursive_factorial(num-1)
+
+def print_numbers(num: int) -> None:
+    for i in range(num):
+        if is_prime(i):
+            print(f"{i} is prime")
+        else:
+            print(f"{i} is not prime")
+
+def calculate_power(base: int, exponent: int) -> int | None:
+    if exponent < 0:
+        raise ValueError("Exponent cannot be negative.")
+    elif exponent == 0:
+        return 1
+    else:
+        return base ** exponent
+
+def calculate_square_root(base: int) -> int | float | None:
+    if base < 0:
+        raise ValueError("Cannot calculate square root of a negative number.")
+    else:
+        return math.sqrt(base)
+
+def calculate_hypotenuse(a: int, b: int) -> int | None:
+    if a < 0 or b < 0:
+        raise ValueError("Both sides must be positive.")
+    else:
+        return math.hypot(a, b)
+
+def calculate_fibonacci(num: int) -> int | None:
+    if num < 0:
+        raise ValueError("Negative values are not supported.")
+    elif num == 0:
+        return 0
+    elif num == 1:
+        return 1
+    else:
+        a, b = 0, 1
+        for _ in range(2, num + 1):
+            a, b = b, a + b
+        return b
+    
+def calculate_factorial_sum(num: int) -> int:
+    if num < 0:
+        raise ValueError("Negative values are not supported.")
+    else:
+        return sum(factorial(i) for i in range(num + 1))
+
+def calculate_exponential_sum(exponent: int, num: int) -> int | None:
+    if num < 0:
+        raise ValueError("Number of terms cannot be negative.")
+    else:
+        return sum(calculate_power(exponent, i) / factorial(i) for i in range(num + 1))
+
+def main():
+    try:
+        num = int(input("Enter a number: "))
+        print(f"Sum of numbers from 0 to {num}: {calculate_sum(num)}")
+        print(f"Factorial of {num}: {factorial(num)}")
+        print_numbers(num)
+        print(f"2^3 = {calculate_power(2, 3)}")
+        print(f"Square root of 16: {calculate_square_root(16)}")
+        print(f"Hypotenuse of 3 and 4: {calculate_hypotenuse(3, 4)}")
+        print(f"Fibonacci sequence up to 10: {calculate_fibonacci(10)}")
+        print(f"Factorial sum up to 5: {calculate_factorial_sum(5)}")
+        print(f"Exponential sum of 2 up to 5 terms: {calculate_exponential_sum(2, 5)}")
+    except ValueError as e:
+        print(f"Error: {e}")
+
+if __name__ == "__main__":
+    main()
\ No newline at end of file

From bfd7d3a4b530ca6344ccb3b647203790e67f1b6d Mon Sep 17 00:00:00 2001
From: nadavtzaysler <110530309+nadavtzaysler@users.noreply.github.com>
Date: Thu, 6 Jun 2024 11:18:24 +0300
Subject: [PATCH 2/3] fixed type hinting across all project, moved math
 functions to different module and fixed behavior/cleancode issues across all
 code

---
 .gitignore        | 324 +++++++++++++++++++++++-----------------------
 main.py           | 113 +++-------------
 math_functions.py |  85 ++++++++++++
 3 files changed, 265 insertions(+), 257 deletions(-)
 create mode 100644 math_functions.py

diff --git a/.gitignore b/.gitignore
index 82f9275..090fef4 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,162 +1,162 @@
-# Byte-compiled / optimized / DLL files
-__pycache__/
-*.py[cod]
-*$py.class
-
-# C extensions
-*.so
-
-# Distribution / packaging
-.Python
-build/
-develop-eggs/
-dist/
-downloads/
-eggs/
-.eggs/
-lib/
-lib64/
-parts/
-sdist/
-var/
-wheels/
-share/python-wheels/
-*.egg-info/
-.installed.cfg
-*.egg
-MANIFEST
-
-# PyInstaller
-#  Usually these files are written by a python script from a template
-#  before PyInstaller builds the exe, so as to inject date/other infos into it.
-*.manifest
-*.spec
-
-# Installer logs
-pip-log.txt
-pip-delete-this-directory.txt
-
-# Unit test / coverage reports
-htmlcov/
-.tox/
-.nox/
-.coverage
-.coverage.*
-.cache
-nosetests.xml
-coverage.xml
-*.cover
-*.py,cover
-.hypothesis/
-.pytest_cache/
-cover/
-
-# Translations
-*.mo
-*.pot
-
-# Django stuff:
-*.log
-local_settings.py
-db.sqlite3
-db.sqlite3-journal
-
-# Flask stuff:
-instance/
-.webassets-cache
-
-# Scrapy stuff:
-.scrapy
-
-# Sphinx documentation
-docs/_build/
-
-# PyBuilder
-.pybuilder/
-target/
-
-# Jupyter Notebook
-.ipynb_checkpoints
-
-# IPython
-profile_default/
-ipython_config.py
-
-# pyenv
-#   For a library or package, you might want to ignore these files since the code is
-#   intended to run in multiple environments; otherwise, check them in:
-# .python-version
-
-# pipenv
-#   According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control.
-#   However, in case of collaboration, if having platform-specific dependencies or dependencies
-#   having no cross-platform support, pipenv may install dependencies that don't work, or not
-#   install all needed dependencies.
-#Pipfile.lock
-
-# poetry
-#   Similar to Pipfile.lock, it is generally recommended to include poetry.lock in version control.
-#   This is especially recommended for binary packages to ensure reproducibility, and is more
-#   commonly ignored for libraries.
-#   https://python-poetry.org/docs/basic-usage/#commit-your-poetrylock-file-to-version-control
-#poetry.lock
-
-# pdm
-#   Similar to Pipfile.lock, it is generally recommended to include pdm.lock in version control.
-#pdm.lock
-#   pdm stores project-wide configurations in .pdm.toml, but it is recommended to not include it
-#   in version control.
-#   https://pdm.fming.dev/latest/usage/project/#working-with-version-control
-.pdm.toml
-.pdm-python
-.pdm-build/
-
-# PEP 582; used by e.g. github.com/David-OConnor/pyflow and github.com/pdm-project/pdm
-__pypackages__/
-
-# Celery stuff
-celerybeat-schedule
-celerybeat.pid
-
-# SageMath parsed files
-*.sage.py
-
-# Environments
-.env
-.venv
-env/
-venv/
-ENV/
-env.bak/
-venv.bak/
-
-# Spyder project settings
-.spyderproject
-.spyproject
-
-# Rope project settings
-.ropeproject
-
-# mkdocs documentation
-/site
-
-# mypy
-.mypy_cache/
-.dmypy.json
-dmypy.json
-
-# Pyre type checker
-.pyre/
-
-# pytype static type analyzer
-.pytype/
-
-# Cython debug symbols
-cython_debug/
-
-# PyCharm
-#  JetBrains specific template is maintained in a separate JetBrains.gitignore that can
-#  be found at https://github.com/github/gitignore/blob/main/Global/JetBrains.gitignore
-#  and can be added to the global gitignore or merged into this file.  For a more nuclear
-#  option (not recommended) you can uncomment the following to ignore the entire idea folder.
-#.idea/
+# Byte-compiled / optimized / DLL files
+__pycache__/
+*.py[cod]
+*$py.class
+
+# C extensions
+*.so
+
+# Distribution / packaging
+.Python
+build/
+develop-eggs/
+dist/
+downloads/
+eggs/
+.eggs/
+lib/
+lib64/
+parts/
+sdist/
+var/
+wheels/
+share/python-wheels/
+*.egg-info/
+.installed.cfg
+*.egg
+MANIFEST
+
+# PyInstaller
+#  Usually these files are written by a python script from a template
+#  before PyInstaller builds the exe, so as to inject date/other infos into it.
+*.manifest
+*.spec
+
+# Installer logs
+pip-log.txt
+pip-delete-this-directory.txt
+
+# Unit test / coverage reports
+htmlcov/
+.tox/
+.nox/
+.coverage
+.coverage.*
+.cache
+nosetests.xml
+coverage.xml
+*.cover
+*.py,cover
+.hypothesis/
+.pytest_cache/
+cover/
+
+# Translations
+*.mo
+*.pot
+
+# Django stuff:
+*.log
+local_settings.py
+db.sqlite3
+db.sqlite3-journal
+
+# Flask stuff:
+instance/
+.webassets-cache
+
+# Scrapy stuff:
+.scrapy
+
+# Sphinx documentation
+docs/_build/
+
+# PyBuilder
+.pybuilder/
+target/
+
+# Jupyter Notebook
+.ipynb_checkpoints
+
+# IPython
+profile_default/
+ipython_config.py
+
+# pyenv
+#   For a library or package, you might want to ignore these files since the code is
+#   intended to run in multiple environments; otherwise, check them in:
+# .python-version
+
+# pipenv
+#   According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control.
+#   However, in case of collaboration, if having platform-specific dependencies or dependencies
+#   having no cross-platform support, pipenv may install dependencies that don't work, or not
+#   install all needed dependencies.
+#Pipfile.lock
+
+# poetry
+#   Similar to Pipfile.lock, it is generally recommended to include poetry.lock in version control.
+#   This is especially recommended for binary packages to ensure reproducibility, and is more
+#   commonly ignored for libraries.
+#   https://python-poetry.org/docs/basic-usage/#commit-your-poetrylock-file-to-version-control
+#poetry.lock
+
+# pdm
+#   Similar to Pipfile.lock, it is generally recommended to include pdm.lock in version control.
+#pdm.lock
+#   pdm stores project-wide configurations in .pdm.toml, but it is recommended to not include it
+#   in version control.
+#   https://pdm.fming.dev/latest/usage/project/#working-with-version-control
+.pdm.toml
+.pdm-python
+.pdm-build/
+
+# PEP 582; used by e.g. github.com/David-OConnor/pyflow and github.com/pdm-project/pdm
+__pypackages__/
+
+# Celery stuff
+celerybeat-schedule
+celerybeat.pid
+
+# SageMath parsed files
+*.sage.py
+
+# Environments
+.env
+.venv
+env/
+venv/
+ENV/
+env.bak/
+venv.bak/
+
+# Spyder project settings
+.spyderproject
+.spyproject
+
+# Rope project settings
+.ropeproject
+
+# mkdocs documentation
+/site
+
+# mypy
+.mypy_cache/
+.dmypy.json
+dmypy.json
+
+# Pyre type checker
+.pyre/
+
+# pytype static type analyzer
+.pytype/
+
+# Cython debug symbols
+cython_debug/
+
+# PyCharm
+#  JetBrains specific template is maintained in a separate JetBrains.gitignore that can
+#  be found at https://github.com/github/gitignore/blob/main/Global/JetBrains.gitignore
+#  and can be added to the global gitignore or merged into this file.  For a more nuclear
+#  option (not recommended) you can uncomment the following to ignore the entire idea folder.
+#.idea/
diff --git a/main.py b/main.py
index 3fe6be1..74573f9 100644
--- a/main.py
+++ b/main.py
@@ -1,101 +1,24 @@
-import math
+from math_functions import print_numbers, calculate_triangular_number, factorial, calculate_power, calculate_square_root, calculate_hypotenuse, calculate_fibonacci_by_index, calculate_factorial_sum, calculate_exponential_sum
 
-def calculate_sum(num: int) -> int:
-    if num <= 0:
-        return 0
-    return sum(range(num))
-
-def is_prime(num: int) -> bool:
-    for i in range(2, int(math.sqrt(num)) + 1):
-        if num % i == 0:
-            return False
-    return num > 2
-
-def factorial(num: int) -> int | None:
-    if num < 0:
-        raise ValueError("Negative values are not supported.")
-    elif num == 0:
-        return 1
-    else:
-        result = 1
-        for i in range(1, num + 1):
-            result *= i
-        return result
-
-def recursive_factorial(num: int) -> int | None:
-    if num < 0:
-        raise ValueError("Negative values are not supported.")
-    elif num == 0 or num == 1:
-        return 1
-    else:
-        return num * recursive_factorial(num-1)
-
-def print_numbers(num: int) -> None:
-    for i in range(num):
-        if is_prime(i):
-            print(f"{i} is prime")
-        else:
-            print(f"{i} is not prime")
-
-def calculate_power(base: int, exponent: int) -> int | None:
-    if exponent < 0:
-        raise ValueError("Exponent cannot be negative.")
-    elif exponent == 0:
-        return 1
-    else:
-        return base ** exponent
-
-def calculate_square_root(base: int) -> int | float | None:
-    if base < 0:
-        raise ValueError("Cannot calculate square root of a negative number.")
-    else:
-        return math.sqrt(base)
-
-def calculate_hypotenuse(a: int, b: int) -> int | None:
-    if a < 0 or b < 0:
-        raise ValueError("Both sides must be positive.")
-    else:
-        return math.hypot(a, b)
-
-def calculate_fibonacci(num: int) -> int | None:
-    if num < 0:
-        raise ValueError("Negative values are not supported.")
-    elif num == 0:
-        return 0
-    elif num == 1:
-        return 1
-    else:
-        a, b = 0, 1
-        for _ in range(2, num + 1):
-            a, b = b, a + b
-        return b
-    
-def calculate_factorial_sum(num: int) -> int:
-    if num < 0:
-        raise ValueError("Negative values are not supported.")
-    else:
-        return sum(factorial(i) for i in range(num + 1))
-
-def calculate_exponential_sum(exponent: int, num: int) -> int | None:
-    if num < 0:
-        raise ValueError("Number of terms cannot be negative.")
-    else:
-        return sum(calculate_power(exponent, i) / factorial(i) for i in range(num + 1))
 
 def main():
-    try:
-        num = int(input("Enter a number: "))
-        print(f"Sum of numbers from 0 to {num}: {calculate_sum(num)}")
-        print(f"Factorial of {num}: {factorial(num)}")
-        print_numbers(num)
-        print(f"2^3 = {calculate_power(2, 3)}")
-        print(f"Square root of 16: {calculate_square_root(16)}")
-        print(f"Hypotenuse of 3 and 4: {calculate_hypotenuse(3, 4)}")
-        print(f"Fibonacci sequence up to 10: {calculate_fibonacci(10)}")
-        print(f"Factorial sum up to 5: {calculate_factorial_sum(5)}")
-        print(f"Exponential sum of 2 up to 5 terms: {calculate_exponential_sum(2, 5)}")
-    except ValueError as e:
-        print(f"Error: {e}")
+    while(True):
+        try:
+            num = int(input("Enter a number: "))
+        except ValueError as e:
+            print("please insert positive number")
+            continue
+        break
+
+    print(f"Sum of numbers from 0 to {num}: {calculate_triangular_number(num)}")
+    print(f"Factorial of {num}: {factorial(num)}")
+    print_numbers(num)
+    print(f"2^3 = {calculate_power(2, 3)}")
+    print(f"Square root of 16: {calculate_square_root(16)}")
+    print(f"Hypotenuse of 3 and 4: {calculate_hypotenuse(3, 4)}")
+    print(f"Fibonacci sequence up to 10: {calculate_fibonacci_by_index(10)}")
+    print(f"Factorial sum up to 5: {calculate_factorial_sum(5)}")
+    print(f"Exponential sum of 2 up to 5 terms: {calculate_exponential_sum(2, 5)}")
 
 if __name__ == "__main__":
     main()
\ No newline at end of file
diff --git a/math_functions.py b/math_functions.py
new file mode 100644
index 0000000..6256e2c
--- /dev/null
+++ b/math_functions.py
@@ -0,0 +1,85 @@
+import math
+
+def calculate_triangular_number(num: int) -> int:
+    if num <= 0:
+        return 0
+    return sum(range(num + 1))
+
+def is_prime(num):
+    if num <= 1:
+        return False
+    for divisor in range(2, int(math.sqrt(num)) + 1):
+        if num % divisor == 0:
+            return False
+    return True
+
+def factorial(num: int) -> int:
+    if num < 0:
+        raise ValueError("Negative values are not supported.")
+    elif num == 0:
+        return 1
+    else:
+        result = 1
+        for i in range(1, num + 1):
+            result *= i
+        return result
+
+def recursive_factorial(num: int) -> int:
+    if num < 0:
+        raise ValueError("Negative values are not supported.")
+    elif num == 0 or num == 1:
+        return 1
+    else:
+        return num * recursive_factorial(num-1)
+
+def print_numbers(num: int) -> None:
+    for i in range(num):
+        if is_prime(i):
+            print(f"{i} is prime")
+        else:
+            print(f"{i} is not prime")
+
+def calculate_power(base: int, exponent: int) -> int:
+    if exponent < 0:
+        raise ValueError("Exponent cannot be negative.")
+    elif exponent == 0:
+        return 1
+    else:
+        return base ** exponent
+
+def calculate_square_root(base: int) -> float:
+    if base < 0:
+        raise ValueError("Cannot calculate square root of a negative number.")
+    else:
+        return math.sqrt(base)
+
+def calculate_hypotenuse(a: float, b: float) -> float:
+    if a < 0 or b < 0:
+        raise ValueError("Both sides must be positive.")
+    else:
+        return math.hypot(a, b)
+
+def calculate_fibonacci_by_index(index: int) -> int:
+    if index < 0:
+        raise ValueError("Negative values are not supported.")
+    elif index == 0:
+        return 0
+    elif index == 1:
+        return 1
+    else:
+        a, b = 0, 1
+        for _ in range(2, index + 1):
+            a, b = b, a + b
+        return b
+    
+def calculate_factorial_sum(num: int) -> int:
+    if num < 0:
+        raise ValueError("Negative values are not supported.")
+    else:
+        return sum(factorial(i) for i in range(num + 1))
+
+def calculate_exponential_sum(exponent: int, num: int) -> int | None:
+    if num < 0:
+        raise ValueError("Number of terms cannot be negative.")
+    else:
+        return sum(calculate_power(exponent, i) / factorial(i) for i in range(num + 1))
\ No newline at end of file

From 328c752c7da3872d62953dfbcf981e7d6aa6d717 Mon Sep 17 00:00:00 2001
From: nadavtzaysler <110530309+nadavtzaysler@users.noreply.github.com>
Date: Mon, 10 Jun 2024 14:18:04 +0300
Subject: [PATCH 3/3] Add files via upload

---
 math_functions.py | 249 ++++++++++++++++++++++++++++++----------------
 1 file changed, 165 insertions(+), 84 deletions(-)

diff --git a/math_functions.py b/math_functions.py
index 6256e2c..f062734 100644
--- a/math_functions.py
+++ b/math_functions.py
@@ -1,85 +1,166 @@
-import math
-
-def calculate_triangular_number(num: int) -> int:
-    if num <= 0:
-        return 0
-    return sum(range(num + 1))
-
-def is_prime(num):
-    if num <= 1:
-        return False
-    for divisor in range(2, int(math.sqrt(num)) + 1):
-        if num % divisor == 0:
-            return False
-    return True
-
-def factorial(num: int) -> int:
-    if num < 0:
-        raise ValueError("Negative values are not supported.")
-    elif num == 0:
-        return 1
-    else:
-        result = 1
-        for i in range(1, num + 1):
-            result *= i
-        return result
-
-def recursive_factorial(num: int) -> int:
-    if num < 0:
-        raise ValueError("Negative values are not supported.")
-    elif num == 0 or num == 1:
-        return 1
-    else:
-        return num * recursive_factorial(num-1)
-
-def print_numbers(num: int) -> None:
-    for i in range(num):
-        if is_prime(i):
-            print(f"{i} is prime")
-        else:
-            print(f"{i} is not prime")
-
-def calculate_power(base: int, exponent: int) -> int:
-    if exponent < 0:
-        raise ValueError("Exponent cannot be negative.")
-    elif exponent == 0:
-        return 1
-    else:
-        return base ** exponent
-
-def calculate_square_root(base: int) -> float:
-    if base < 0:
-        raise ValueError("Cannot calculate square root of a negative number.")
-    else:
-        return math.sqrt(base)
-
-def calculate_hypotenuse(a: float, b: float) -> float:
-    if a < 0 or b < 0:
-        raise ValueError("Both sides must be positive.")
-    else:
-        return math.hypot(a, b)
-
-def calculate_fibonacci_by_index(index: int) -> int:
-    if index < 0:
-        raise ValueError("Negative values are not supported.")
-    elif index == 0:
-        return 0
-    elif index == 1:
-        return 1
-    else:
-        a, b = 0, 1
-        for _ in range(2, index + 1):
-            a, b = b, a + b
-        return b
-    
-def calculate_factorial_sum(num: int) -> int:
-    if num < 0:
-        raise ValueError("Negative values are not supported.")
-    else:
-        return sum(factorial(i) for i in range(num + 1))
-
-def calculate_exponential_sum(exponent: int, num: int) -> int | None:
-    if num < 0:
-        raise ValueError("Number of terms cannot be negative.")
-    else:
+import math
+
+def calculate_triangular_number(num: int) -> int:
+    return sum(range(num + 1))
+
+def is_prime(num):
+    if num <= 1:
+        return False
+    for divisor in range(2, int(math.sqrt(num)) + 1):
+        if num % divisor == 0:
+            return False
+    return True
+
+def factorial(num: int) -> int:
+    if num < 0:
+        raise ValueError("Negative values are not supported.")
+    elif num == 0:
+        return 1
+    else:
+        result = 1
+        for i in range(1, num + 1):
+            result *= i
+        return result
+
+def recursive_factorial(num: int) -> int:
+    if num < 0:
+        raise ValueError("Negative values are not supported.")
+    elif num == 0 or num == 1:
+        return 1
+    else:
+        return num * recursive_factorial(num-1)
+
+def print_numbers(num: int) -> None:
+    for i in range(num):
+        if is_prime(i):
+            print(f"{i} is prime")
+        else:
+            print(f"{i} is not prime")
+
+def calculate_power(base: int, exponent: int) -> int:
+    if exponent < 0:
+        raise ValueError("Exponent cannot be negative.")
+    else:
+        return base ** exponent
+
+def calculate_square_root(base: int) -> float:
+    if base < 0:
+        raise ValueError("Cannot calculate square root of a negative number.")
+    else:
+        return math.sqrt(base)
+
+def calculate_hypotenuse(a: float, b: float) -> float:
+    if a < 0 or b < 0:
+        raise ValueError("Both sides must be positive.")
+    else:
+        return math.hypot(a, b)
+
+def calculate_fibonacci_by_index(index: int) -> int:
+    if index < 0:
+        raise ValueError("Negative values are not supported.")
+    elif index == 0:
+        return 0
+    elif index == 1:
+        return 1
+    else:
+        a, b = 0, 1
+        for _ in range(2, index + 1):
+            a, b = b, a + b
+        return b
+    
+def calculate_factorial_sum(num: int) -> int:
+    if num < 0:
+        raise ValueError("Negative values are not supported.")
+    else:
+        return sum(factorial(i) for i in range(num + 1))
+
+def calculate_exponential_sum(exponent: int, num: int) -> int | None:
+    if num < 0:
+        raise ValueError("Number of terms cannot be negative.")
+    else:
+        return sum(calculate_power(exponent, i) / factorial(i) for i in range(num + 1))
+import math
+
+def calculate_triangular_number(num: int) -> int:
+    if num <= 0:
+        return 0
+    return sum(range(num + 1))
+
+def is_prime(num):
+    if num <= 1:
+        return False
+    for divisor in range(2, int(math.sqrt(num)) + 1):
+        if num % divisor == 0:
+            return False
+    return True
+
+def factorial(num: int) -> int:
+    if num < 0:
+        raise ValueError("Negative values are not supported.")
+    elif num == 0:
+        return 1
+    else:
+        result = 1
+        for i in range(1, num + 1):
+            result *= i
+        return result
+
+def recursive_factorial(num: int) -> int:
+    if num < 0:
+        raise ValueError("Negative values are not supported.")
+    elif num == 0 or num == 1:
+        return 1
+    else:
+        return num * recursive_factorial(num-1)
+
+def print_numbers(num: int) -> None:
+    for i in range(num):
+        if is_prime(i):
+            print(f"{i} is prime")
+        else:
+            print(f"{i} is not prime")
+
+def calculate_power(base: int, exponent: int) -> int:
+    if exponent < 0:
+        raise ValueError("Exponent cannot be negative.")
+    elif exponent == 0:
+        return 1
+    else:
+        return base ** exponent
+
+def calculate_square_root(base: int) -> float:
+    if base < 0:
+        raise ValueError("Cannot calculate square root of a negative number.")
+    else:
+        return math.sqrt(base)
+
+def calculate_hypotenuse(a: float, b: float) -> float:
+    if a < 0 or b < 0:
+        raise ValueError("Both sides must be positive.")
+    else:
+        return math.hypot(a, b)
+
+def calculate_fibonacci_by_index(index: int) -> int:
+    if index < 0:
+        raise ValueError("Negative values are not supported.")
+    elif index == 0:
+        return 0
+    elif index == 1:
+        return 1
+    else:
+        a, b = 0, 1
+        for _ in range(2, index + 1):
+            a, b = b, a + b
+        return b
+    
+def calculate_factorial_sum(num: int) -> int:
+    if num < 0:
+        raise ValueError("Negative values are not supported.")
+    else:
+        return sum(factorial(i) for i in range(num + 1))
+
+def calculate_exponential_sum(exponent: int, num: int) -> int | None:
+    if num < 0:
+        raise ValueError("Number of terms cannot be negative.")
+    else:
         return sum(calculate_power(exponent, i) / factorial(i) for i in range(num + 1))
\ No newline at end of file