**Colinéarité** signifie que trois points ou plus se trouvent sur une même ligne droite. Autrement dit, si une ligne droite peut passer par tous les points donnés sans changer de direction, ces points sont colinéaires.

Définition


import unittest
import user_code
import ast
import re   
import importlib
import csv
import unittest
import importlib

class TestTask(unittest.TestCase):
    def test_true_collinear_diagonal(self):
        import user_code
        importlib.reload(user_code)
        result = user_code.are_collinear((0, 0), (1, 1), (2, 2))
        _dynamic_test(
            self,
            result is True,
            "Correctly returns True for diagonal collinear points.",
            f"Expected True for (0,0), (1,1), (2,2), got {result}.",
        )

    def test_false_non_collinear(self):
        import user_code
        importlib.reload(user_code)
        result = user_code.are_collinear((0, 0), (1, 2), (2, 1))
        _dynamic_test(
            self,
            result is False,
            "Correctly returns False for non-collinear points.",
            f"Expected False for (0,0), (1,2), (2,1), got {result}.",
        )

    def test_true_horizontal(self):
        import user_code
        importlib.reload(user_code)
        result = user_code.are_collinear((1, 5), (3, 5), (100, 5))
        _dynamic_test(
            self,
            result is True,
            "Correctly returns True for horizontal collinear points.",
            f"Expected True for (1,5), (3,5), (100,5), got {result}.",
        )

    def test_true_vertical(self):
        import user_code
        importlib.reload(user_code)
        result = user_code.are_collinear((2, -3), (2, 0), (2, 99))
        _dynamic_test(
            self,
            result is True,
            "Correctly returns True for vertical collinear points.",
            f"Expected True for (2,-3), (2,0), (2,99), got {result}.",
        )

    def test_true_negative_coords(self):
        import user_code
        importlib.reload(user_code)
        result = user_code.are_collinear((-1, -2), (-2, -4), (-3, -6))
        _dynamic_test(
            self,
            result is True,
            "Correctly returns True for negative collinear points.",
            f"Expected True for (-1,-2), (-2,-4), (-3,-6), got {result}.",
        )

    def test_false_mixed_coords(self):
        import user_code
        importlib.reload(user_code)
        result = user_code.are_collinear((-2, 1), (0, 0), (1, 2))
        _dynamic_test(
            self,
            result is False,
            "Correctly returns False for mixed coordinate non-collinear points.",
            f"Expected False for (-2,1), (0,0), (1,2), got {result}.",
        )

    def test_true_all_same_point(self):
        import user_code
        importlib.reload(user_code)
        result = user_code.are_collinear((5, 5), (5, 5), (5, 5))
        _dynamic_test(
            self,
            result is True,
            "Correctly returns True when all points are identical.",
            f"Expected True for (5,5), (5,5), (5,5), 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()
    changed = False
    # Collect all assignment nodes to modify
    assign_nodes = [
        (i, node)
        for i, node in enumerate(tree.body)
        if isinstance(node, ast.Assign)
        and any(isinstance(target, ast.Name) and target.id == var_name for target in node.targets)
    ]

    # If nothing to change, return unmodified code
    if not assign_nodes:
        return code

    # Perform replacements for all matching assignments (from last to first to not break line offsets)
    for i, node in reversed(assign_nodes):
        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] = []
        changed = True

    return '\\n'.join(lines) if changed else code

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


test_main.py

Apprenez les fondamentaux de la modélisation géométrique avec Python. Découvrez comment représenter, manipuler et approximer des figures géométriques de manière programmatique. Ce cours couvre les formes de base, les transformations et les techniques d'approximation pratiques, rendant les concepts géométriques accessibles et interactifs.

Commencez avec les concepts fondamentaux de la modélisation géométrique et découvrez comment Python peut être utilisé pour représenter et manipuler des formes de base.

Explorez les transformations géométriques telles que la translation, la rotation et la mise à l'échelle, et observez leur impact sur les formes en Python.

Apprenez à approximer des courbes et des formes complexes en utilisant des polygones et d'autres techniques en Python.

Challenge: Colinéarité des points

Solution