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

class TestTask(unittest.TestCase):
    def test_cost_function_value(self):
        import user_code
        importlib.reload(user_code)
        # Test at x = 3
        val = user_code.cost_function([3])
        expected = 2 * 3 ** 2 - 12 * 3 + 50
        _dynamic_test(
            self,
            math.isclose(val, expected, rel_tol=1e-7),
            "cost_function returns correct value for x=3",
            f"Expected {expected} for x=3, got {val}"
        )
        # Test at x = 0
        val0 = user_code.cost_function([0])
        expected0 = 2 * 0 ** 2 - 12 * 0 + 50
        _dynamic_test(
            self,
            math.isclose(val0, expected0, rel_tol=1e-7),
            "cost_function returns correct value for x=0",
            f"Expected {expected0} for x=0, got {val0}"
        )

    def test_minimize_finds_minimum(self):
        import user_code
        importlib.reload(user_code)
        # The minimum of 2x^2 - 12x + 50 is at x = 3
        result = getattr(user_code, 'result', None)
        _dynamic_test(
            self,
            result is not None and hasattr(result, 'x'),
            "minimize returns a result with attribute 'x'",
            f"minimize did not return a result with attribute 'x'"
        )
        min_x = result.x[0]
        _dynamic_test(
            self,
            math.isclose(min_x, 3.0, rel_tol=1e-4),
            "minimize finds the correct minimum at x=3",
            f"Expected minimum at x=3, got x={min_x}"
        )

    def test_optimal_production_type(self):
        import user_code
        importlib.reload(user_code)
        optimal_production = getattr(user_code, 'optimal_production', None)
        _dynamic_test(
            self,
            isinstance(optimal_production, float),
            "optimal_production is a float",
            f"optimal_production should be float, got {type(optimal_production)}"
        )

    def test_minimum_cost_value(self):
        import user_code
        importlib.reload(user_code)
        result = getattr(user_code, 'result', None)
        _dynamic_test(
            self,
            result is not None and hasattr(result, 'fun'),
            "minimize result has attribute 'fun'",
            f"minimize result missing attribute 'fun'"
        )
        min_cost = result.fun
        # The minimum cost at x=3 is 2*9 - 12*3 + 50 = 18 - 36 + 50 = 32
        _dynamic_test(
            self,
            math.isclose(min_cost, 32.0, rel_tol=1e-4),
            "result.fun matches minimum cost value",
            f"Expected minimum cost 32.0, got {min_cost}"
        )

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

A comprehensive course designed for students with strong math backgrounds and intermediate to advanced Python skills, focusing on leveraging SciPy for scientific computing, optimization, integration, and advanced mathematical operations.

Explore the structure, core modules, and essential features of SciPy for scientific computing.

Dive into SciPy's powerful linear algebra capabilities for solving real-world mathematical problems.

Master optimization techniques and root-finding algorithms using SciPy for scientific and engineering problems.

Explore advanced mathematical operations including integration, interpolation, and basic signal processing with SciPy.

Challenge: Minimizing Cost Functions

Solution

Awesome!

Challenge: Minimizing Cost Functions

Solution