**共線性**とは、3点以上の点が同一直線上に存在することを指します。つまり、与えられたすべての点を通過する直線を方向を変えずに引くことができる場合、それらの点は共線であると言えます。

定義


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

Pythonを使用した幾何モデリングの基礎を学びます。幾何図形をプログラムで表現、操作、近似する方法を探求します。本コースでは、基本的な図形、変換、および実践的な近似手法を取り上げ、幾何学の概念をわかりやすく、インタラクティブに学べます。

幾何モデリングの基本概念と、Pythonを用いて基本的な図形を表現・操作する方法について学びます。

平行移動、回転、拡大縮小などの幾何学的変換について掘り下げ、Pythonで図形にどのような影響を与えるかを学びます。

Pythonで多角形やその他の手法を用いて曲線や複雑な形状を近似する方法を学びます。

チャレンジ：点の共線性

解答