When working on engineering problems, you often encounter mathematical functions that are difficult or impossible to compute exactly using elementary operations. SciPy's `scipy.special` submodule provides access to a wide range of special functions that are widely used in engineering, physics, and probability theory. One such function is the **gamma function**, which generalizes the factorial function to non-integer values and appears frequently in probability distributions and statistical calculations.


import unittest
import user_code
import ast
import re   
import unittest
import importlib
import math

class TestTask(unittest.TestCase):
    def test_gamma_positive_integer(self):
        import user_code
        importlib.reload(user_code)
        result = user_code.compute_gamma(5)
        expected = math.gamma(5)
        _dynamic_test(
            self,
            abs(result - expected) < 1e-10,
            "Correct gamma value for integer input (5)",
            f"Expected gamma(5)={expected}, got {result}",
        )

    def test_gamma_positive_noninteger(self):
        import user_code
        importlib.reload(user_code)
        result = user_code.compute_gamma(2.7)
        expected = math.gamma(2.7)
        _dynamic_test(
            self,
            abs(result - expected) < 1e-10,
            "Correct gamma value for non-integer input (2.7)",
            f"Expected gamma(2.7)={expected}, got {result}",
        )

    def test_gamma_half(self):
        import user_code
        importlib.reload(user_code)
        result = user_code.compute_gamma(0.5)
        expected = math.gamma(0.5)
        _dynamic_test(
            self,
            abs(result - expected) < 1e-10,
            "Correct gamma value for input 0.5",
            f"Expected gamma(0.5)={expected}, got {result}",
        )

def _dynamic_test(test_case, condition, success_message, failure_message):
    if condition:
        test_case._testMethodName = success_message
        test_case.assertTrue(True, success_message)
    else:
        test_case._testMethodName = failure_message
        test_case.fail(failure_message)

def normalize_text(text):
    text = text.lower()
    text = re.sub(r"\s{2,}", " ", text)
    text = re.sub(r"\s*([,:?])\s*", r"\1 ", text)
    return text.strip()

def change_var(code: str, var_name: str, value: str) -> str:
    tree = ast.parse(code)
    lines = code.splitlines()
    for i, node in enumerate(tree.body):
        if isinstance(node, ast.Assign):
            for target in node.targets:
                if isinstance(target, ast.Name) and target.id == var_name:
                    start_line = node.lineno - 1
                    line = lines[start_line]
                    indent = ' ' * (len(line) - len(line.lstrip()))
                    lines[start_line] = f"{indent}{var_name} = {value}"
                    next_line = len(lines)
                    for next_node in tree.body[i+1:]:
                        if hasattr(next_node, 'lineno'):
                            next_line = next_node.lineno - 1
                            break
                    if next_line > start_line + 1:
                        lines[start_line+1:next_line] = []
                    
                    return '\\n'.join(lines)
    return code

if __name__ == "__main__":
    unittest.main()


test_main.py

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Challenge: Special Functions in Engineering

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Challenge: Special Functions in Engineering

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