This commit is contained in:
Yingjie Wang 2023-11-10 11:29:28 -05:00
parent a98e40d16b
commit c2228a8019
3 changed files with 85 additions and 41 deletions

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@ -2,8 +2,9 @@ import numpy as np
from raytrace_2D import Disk
import csv
import colorspace
from rich.progress import track
from rich.progress import Progress, track
from PIL import Image
from concurrent.futures import ProcessPoolExecutor, ThreadPoolExecutor, as_completed
class Ray:
def __init__(self, origin, direction, intensity):
@ -13,8 +14,8 @@ class Ray:
center = [0,0]
r = 1
n = 1.3
disk = Disk(center, r, n)
# n = 1.3
# disk = Disk(center, r, n)
dx = 0.00001
N = int(2*r /dx - 1)
min_intensity = 0.00001
@ -105,44 +106,57 @@ def water_refraction_index(t, wavelength):
def sun_spectral(wavelength):
return 1e16/(np.power(wavelength,5)*(np.exp(6.62607015e6*2.99792458/(wavelength*1.380649*(5250+273.15)))-1))
def rainbow(n_theta, temp):
angles, d_theta = np.linspace(0,np.pi/2,n_theta, retstep=True)
def modified_trace(wavelength, temp, center, r, dx, N, n_theta, d_theta, min_intensity, max_ray, max_angle):
n = water_refraction_index(temp, wavelength)
disk = Disk(center, r, n)
stack = []
for x in np.linspace(-r + dx, r-dx, N):
stack.append(Ray([x, 2*r], [0,-1], 10*np.abs(x)))
ray_count = 0
XYZ = colorspace.wavelength2XYZ(wavelength)*sun_spectral(wavelength)
own_angle_XYZ = np.zeros((n_theta, 3))
while stack and ray_count < max_ray:
ray = stack.pop()
ray_count += 1
if ray is None:
continue
if isinstance(ray, Ray):
if ray.intensity < min_intensity:
continue
direction = ray.direction
t,intersection_point = disk.find_intersection(ray)
if intersection_point is not None:
points.append(np.concatenate((ray.origin, intersection_point,[ray.intensity])))
normal = disk.get_normal(intersection_point)
stack.extend(reflection_and_refraction(ray, intersection_point, normal, disk.refractive_index))
else:
points.append(np.concatenate((ray.origin, ray.origin+ray.direction,[ray.intensity])))
if direction[1] > 0:
angle = np.arccos(direction[1])
if angle < max_angle:
own_angle_XYZ[int(angle/d_theta)] += XYZ*ray.intensity*direction[1]
return own_angle_XYZ
def rainbow(n_theta, max_theta, temp):
angles, d_theta = np.linspace(0,max_theta,n_theta, retstep=True)
angle_XYZ = np.zeros((n_theta, 3))
angle_sRGB = np.zeros((n_theta, 3))
num_wavelength = len(colorspace.data_wavelength)
def modified_trace(wavelength_index):
wavelength = colorspace.data_wavelength[wavelength_index]
n = water_refraction_index(temp, wavelength)
disk = Disk(center, r, n)
stack = []
for x in np.linspace(-r + dx, r-dx, N):
stack.append(Ray([x, 2*r], [0,-1], 10*np.abs(x)))
ray_count = 0
XYZ = colorspace.wavelength2XYZ(wavelength)*sun_spectral(wavelength)
while stack and ray_count < max_ray:
ray = stack.pop()
ray_count += 1
if ray is None:
continue
if isinstance(ray, Ray):
if ray.intensity < min_intensity:
continue
direction = ray.direction
t,intersection_point = disk.find_intersection(ray)
if intersection_point is not None:
points.append(np.concatenate((ray.origin, intersection_point,[ray.intensity])))
normal = disk.get_normal(intersection_point)
stack.extend(reflection_and_refraction(ray, intersection_point, normal, disk.refractive_index))
else:
points.append(np.concatenate((ray.origin, ray.origin+ray.direction,[ray.intensity])))
if direction[1] > 0:
angle = np.arccos(direction[1])
angle_XYZ[int(angle/d_theta)] += XYZ*ray.intensity*direction[1]
with Progress() as progress:
# 创建一个进度条
task = progress.add_task("[green]Simulating...", total=num_wavelength)
map(modified_trace, range(num_wavelength))
# 使用 ThreadPoolExecutor 并行执行
with ProcessPoolExecutor() as executor:
futures = [executor.submit(modified_trace, wavelength, temp, center, r, dx, N, n_theta, d_theta, min_intensity, max_ray, max_theta) for wavelength in colorspace.data_wavelength]
for future in as_completed(futures):
result = future.result()
angle_XYZ += result
progress.update(task, advance=1)
for i,XYZ in enumerate(angle_XYZ):
angle_sRGB[i] = colorspace.XYZ2RGB(XYZ)
@ -153,12 +167,21 @@ def rainbow(n_theta, temp):
np.clip(angle_sRGB, 0, 1)
return angles,angle_sRGB
def bin_find(x, list):
def bin_find(x, list, start):
l,r = 0, len(list)-1
if x < list[l]:
return 0
if x >= list[r]:
return r
if list[start] <= x < list[start + 1]:
return start
elif list[start] < x:
l = start
else:
r = start
while l <= r:
mid = l + (r-l)//2
if list[mid] <= x < list[mid + 1]:
@ -169,18 +192,39 @@ def bin_find(x, list):
r = mid - 1
return -1
def draw_column(i, w, h, radius, angle_sRGB):
index = 0
column = np.zeros((h, 3), dtype=np.int8)
for j in range(h):
r = np.linalg.norm(np.array([i,j]) - [w/2, 0])
index = bin_find(r, radius, index)
column[j] = angle_sRGB[index]*255
return i,column
def take_picture(angles, angle_sRGB, w, h, distance, filename="image.png"):
image_array = np.zeros((w, h, 3), dtype=np.uint8)
radius = distance * np.tan(angles)
for i in track(range(w), description="generating picture..."):
for j in range(h):
r = np.linalg.norm(np.array([i,j]) - [w/2, 0])
index = bin_find(r, radius)
image_array[i,j] = angle_sRGB[index]*255
with Progress() as progress:
# 创建一个进度条
task2 = progress.add_task("[green]Rendering...", total=w)
# 使用 ThreadPoolExecutor 并行执行
with ProcessPoolExecutor() as executor:
futures2 = [executor.submit(draw_column, i, w,h,radius,angle_sRGB) for i in range(w)]
for future in as_completed(futures2):
ind,column = future.result()
image_array[ind] = column
progress.update(task2, advance=1)
image = Image.fromarray(image_array, "RGB")
image.save(filename)
if __name__=="__main__":
angles,sRGB=rainbow(10000, 10)
w = 7680
h = 4320
dis = 2400
max_angle = 1.1*np.arctan(np.sqrt(1+(h*h+w*w/4)/(dis*dis)))
angles,sRGB=rainbow(100, max_angle, 10)
np.savez_compressed("saved.npz", a=angles, b=sRGB)
take_picture(angles,sRGB, 7680, 4320, 2400, "image.png")

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