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56 changes: 56 additions & 0 deletions graphics/bresenham_line_basic.py
Original file line number Diff line number Diff line change
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"""
Classic Bresenham's Line Drawing Algorithm
------------------------------------------

Draws a line between two points (x1, y1) and (x2, y2)
for slope 0 ≤ m ≤ 1, without floating-point operations.

Reference : https://www.geeksforgeeks.org/dsa/bresenhams-line-generation-algorithm/

>>> classic_bresenham_line((0, 0), (5, 3))
[(0, 0), (1, 1), (2, 1), (3, 2), (4, 2), (5, 3)]
"""

import matplotlib.pyplot as plt


def classic_bresenham_line(
p1: tuple[int, int], p2: tuple[int, int]
) -> list[tuple[int, int]]:
x1, y1 = p1
x2, y2 = p2

dx = x2 - x1
dy = y2 - y1
p = 2 * dy - dx
y = y1
points = []

for x in range(x1, x2 + 1):
points.append((x, y))
if p < 0:
p += 2 * dy
else:
y += 1
p += 2 * (dy - dx)
return points


if __name__ == "__main__":
import doctest

doctest.testmod()

x1 = int(input("Enter x1: "))
y1 = int(input("Enter y1: "))
x2 = int(input("Enter x2: "))
y2 = int(input("Enter y2: "))

points = classic_bresenham_line((x1, y1), (x2, y2))
print("Generated points:", points)

xs, ys = zip(*points)
plt.plot(xs, ys, marker="o")
plt.title("Classic Bresenham's Line Algorithm")
plt.grid()
plt.show()