**Kollinearitet** betyder, at tre eller flere punkter ligger på en enkelt ret linje. Med andre ord, hvis du kan tegne en ret linje, der passerer gennem alle de givne punkter uden at ændre retning, er disse punkter kollineære.

Definition


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

Lær grundlæggende geometrisk modellering ved hjælp af Python. Udforsk, hvordan man repræsenterer, manipulerer og approksimerer geometriske figurer programmatisk. Dette kursus dækker grundlæggende former, transformationer og praktiske approksimationsteknikker, hvilket gør geometriske begreber tilgængelige og interaktive.

Kom godt i gang med de grundlæggende begreber inden for geometrisk modellering, og hvordan Python kan bruges til at repræsentere og manipulere grundlæggende former.

Dyk ned i geometriske transformationer såsom translation, rotation og skalering, og se hvordan de påvirker former i Python.

Lær hvordan man kan tilnærme kurver og komplekse former ved hjælp af polygoner og andre teknikker i Python.

Udfordring: Kollinearitet af Punkter

Løsning