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November 2, 2021 13:41
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Xiaolin Wu's anti-aliased line algorithm in Python3 JIT'd with numba
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import numpy as np | |
from numba import jit | |
# Reference: https://en.wikipedia.org/wiki/Xiaolin_Wu%27s_line_algorithm#Algorithm | |
@jit(nopython=True, nogil=True, cache=True, fastmath=True) | |
def ipart(x): | |
return np.floor(x) | |
@jit(nopython=True, nogil=True, cache=True, fastmath=True) | |
def fpart(x): | |
return x - np.floor(x) | |
@jit(nopython=True, nogil=True, cache=True, fastmath=True) | |
def rfpart(x): | |
return 1 - fpart(x) | |
@jit(nopython=True, nogil=True, cache=True, fastmath=True) | |
def draw_line(x0: int, y0: int, x1: int, y1: int) -> np.array: | |
out = [] | |
steep = abs(y1 - y0) > abs(x1 - x0) | |
if steep: | |
x0, y0 = y0, x0 | |
x1, y1 = y1, x1 | |
if x0 > x1: | |
x0, x1 = x1, x0 | |
y0, y1 = y1, y0 | |
dx = x1 - x0 | |
dy = y1 - y0 | |
if dx == 0: | |
gradient = 1 | |
else: | |
gradient = dy / dx | |
xend = np.round(x0) | |
yend = y0 + gradient * (xend - x0) | |
xgap = rfpart(x0 + 0.5) | |
xpx11 = xend | |
ypx11 = ipart(yend) | |
if steep: | |
out.append((ypx11, xpx11, rfpart(yend) * xgap)) | |
out.append((ypx11 + 1, xpx11, fpart(yend) * xgap)) | |
else: | |
out.append((xpx11, ypx11, rfpart(yend) * xgap)) | |
out.append((xpx11, ypx11 + 1, fpart(yend) * xgap)) | |
intery = yend + gradient | |
xend = np.round(x1) | |
yend = y1 + gradient * (xend - x1) | |
xgap = fpart(x1 + 0.5) | |
xpx12 = xend | |
ypx12 = ipart(yend) | |
if steep: | |
out.append((ypx12, xpx12, rfpart(yend) * xgap)) | |
out.append((ypx12 + 1, xpx12, fpart(yend) * xgap)) | |
else: | |
out.append((xpx12, ypx12, rfpart(yend) * xgap)) | |
out.append((xpx12, ypx12 + 1, fpart(yend) * xgap)) | |
if steep: | |
for x in range(xpx11 + 1, xpx12): | |
out.append((ipart(intery), x, rfpart(intery))) | |
out.append((ipart(intery) + 1, x, fpart(intery))) | |
intery += gradient | |
else: | |
for x in range(xpx11 + 1, xpx12): | |
out.append((x, ipart(intery), rfpart(intery))) | |
out.append((x, ipart(intery) + 1, fpart(intery))) | |
intery += gradient | |
return np.array(out) |
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