Create digital differential analyzer_line.py (TheAlgorithms#10929)

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Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Tianyi Zheng <[email protected]>

graphics/digital_differential_analyzer_line.py

@@ -0,0 +1,52 @@
+import matplotlib.pyplot as plt
+
+
+def digital_differential_analyzer_line(
+    p1: tuple[int, int], p2: tuple[int, int]
+) -> list[tuple[int, int]]:
+    """
+    Draws a line between two points using the DDA algorithm.
+
+    Args:
+    - p1: Coordinates of the starting point.
+    - p2: Coordinates of the ending point.
+    Returns:
+    - List of coordinate points that form the line.
+
+    >>> digital_differential_analyzer_line((1, 1), (4, 4))
+    [(2, 2), (3, 3), (4, 4)]
+    """
+    x1, y1 = p1
+    x2, y2 = p2
+    dx = x2 - x1
+    dy = y2 - y1
+    steps = max(abs(dx), abs(dy))
+    x_increment = dx / float(steps)
+    y_increment = dy / float(steps)
+    coordinates = []
+    x: float = x1
+    y: float = y1
+    for _ in range(steps):
+        x += x_increment
+        y += y_increment
+        coordinates.append((int(round(x)), int(round(y))))
+    return coordinates
+
+
+if __name__ == "__main__":
+    import doctest
+
+    doctest.testmod()
+
+    x1 = int(input("Enter the x-coordinate of the starting point: "))
+    y1 = int(input("Enter the y-coordinate of the starting point: "))
+    x2 = int(input("Enter the x-coordinate of the ending point: "))
+    y2 = int(input("Enter the y-coordinate of the ending point: "))
+    coordinates = digital_differential_analyzer_line((x1, y1), (x2, y2))
+    x_points, y_points = zip(*coordinates)
+    plt.plot(x_points, y_points, marker="o")
+    plt.title("Digital Differential Analyzer Line Drawing Algorithm")
+    plt.xlabel("X-axis")
+    plt.ylabel("Y-axis")
+    plt.grid()
+    plt.show()