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@neozhaoliang
Created November 28, 2022 13:29
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cheatsheet 直播示例代码
import taichi as ti
import taichi.math as tm
ti.init(arch=ti.vulkan)
w, h = 800, 640
res = (w, h)
pixels = ti.Vector.field(3, float, shape=res)
window = ti.ui.Window("fractal", res=res)
canvas = window.get_canvas()
vec3 = tm.vec3
@ti.kernel
def render(t: float):
for i, j in pixels:
col = vec3(0)
zoom = 0.0
for k in range(1, 100):
p = zoom * vec3(i - 0.5 * w, j - 0.5 * h, h) / h
p.z -= 1.0
p = tm.rot_by_axis(tm.normalize(vec3(1, 3, 3)), t * 0.2)[0 : 3, 0: 3] @ p
s = 3.0
for _ in range(5):
e = 1.0 / tm.min(1.0, tm.dot(p, p))
s *= e
p = abs(p) * e - 1.5
zoom += (d:= tm.length(p.xy) / s)
col += (tm.cos(zoom * 6.28 + vec3(0, 22, 21)) * 0.24 + 0.56) \
* float(d < 0.001) / k
pixels[i, j] = col
import time
t0 = time.perf_counter()
while window.running:
render(time.perf_counter() - t0)
canvas.set_image(pixels)
window.show()
import taichi as ti
ti.init(arch=ti.cpu)
random = ti.random
@ti.kernel
def monte_carlo_pi(num_rounds: int, n: int) -> float:
pi = 0.0
for _ in range(num_rounds):
total = 0
for __ in range(n):
x = random()
y = random()
if (x*x + y*y) <= 1.0:
total += 1
pi += 4 * total / n
return pi / num_rounds
print(monte_carlo_pi(10000, 100000))
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