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c2228a8019
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c2228a8019 | |||
a98e40d16b |
117
rainbow.py
117
rainbow.py
@ -2,8 +2,9 @@ import numpy as np
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from raytrace_2D import Disk
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import csv
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import colorspace
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from rich.progress import track
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from rich.progress import Progress, track
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from PIL import Image
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from concurrent.futures import ProcessPoolExecutor, ThreadPoolExecutor, as_completed
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class Ray:
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def __init__(self, origin, direction, intensity):
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@ -13,8 +14,8 @@ class Ray:
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center = [0,0]
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r = 1
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n = 1.3
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disk = Disk(center, r, n)
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# n = 1.3
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# disk = Disk(center, r, n)
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dx = 0.00001
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N = int(2*r /dx - 1)
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min_intensity = 0.00001
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@ -105,30 +106,60 @@ def water_refraction_index(t, wavelength):
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def sun_spectral(wavelength):
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return 1e16/(np.power(wavelength,5)*(np.exp(6.62607015e6*2.99792458/(wavelength*1.380649*(5250+273.15)))-1))
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def rainbow(n_theta, temp):
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angles, d_theta = np.linspace(0,np.pi/2,n_theta, retstep=True)
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def modified_trace(wavelength, temp, center, r, dx, N, n_theta, d_theta, min_intensity, max_ray, max_angle):
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n = water_refraction_index(temp, wavelength)
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disk = Disk(center, r, n)
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stack = []
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for x in np.linspace(-r + dx, r-dx, N):
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stack.append(Ray([x, 2*r], [0,-1], 10*np.abs(x)))
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ray_count = 0
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XYZ = colorspace.wavelength2XYZ(wavelength)*sun_spectral(wavelength)
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own_angle_XYZ = np.zeros((n_theta, 3))
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while stack and ray_count < max_ray:
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ray = stack.pop()
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ray_count += 1
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if ray is None:
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continue
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if isinstance(ray, Ray):
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if ray.intensity < min_intensity:
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continue
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direction = ray.direction
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t,intersection_point = disk.find_intersection(ray)
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if intersection_point is not None:
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points.append(np.concatenate((ray.origin, intersection_point,[ray.intensity])))
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normal = disk.get_normal(intersection_point)
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stack.extend(reflection_and_refraction(ray, intersection_point, normal, disk.refractive_index))
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else:
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points.append(np.concatenate((ray.origin, ray.origin+ray.direction,[ray.intensity])))
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if direction[1] > 0:
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angle = np.arccos(direction[1])
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if angle < max_angle:
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own_angle_XYZ[int(angle/d_theta)] += XYZ*ray.intensity*direction[1]
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return own_angle_XYZ
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def rainbow(n_theta, max_theta, temp):
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angles, d_theta = np.linspace(0,max_theta,n_theta, retstep=True)
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angle_spectral = np.zeros((n_theta, len(colorspace.data_wavelength)))
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angle_XYZ = np.zeros((n_theta, 3))
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angle_sRGB = np.zeros((n_theta, 3))
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num_wavelength = len(colorspace.data_wavelength)
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for wavelength_index in track(range(num_wavelength), description="simulating..."):
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wavelength = colorspace.data_wavelength[wavelength_index]
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n = water_refraction_index(temp, wavelength)
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disk = Disk(center, r, n)
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stack = []
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for x in np.linspace(-r + dx, r-dx, N):
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stack.append(Ray([x, 2*r], [0,-1], 10*np.abs(x)))
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result = np.array(trace(disk, stack, max_ray))
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result[:,1] *= sun_spectral(wavelength)
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angle_indexes = np.floor(result[:,0]/d_theta)
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for i,angle_index in enumerate(angle_indexes):
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angle_spectral[int(angle_index), wavelength_index] += result[i,1]
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for i,spectral in enumerate(angle_spectral):
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angle_XYZ[i] = colorspace.spectral2XYZ(spectral)
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angle_sRGB[i] = colorspace.XYZ2RGB(angle_XYZ[i])
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with Progress() as progress:
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# 创建一个进度条
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task = progress.add_task("[green]Simulating...", total=num_wavelength)
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# 使用 ThreadPoolExecutor 并行执行
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with ProcessPoolExecutor() as executor:
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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]
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for future in as_completed(futures):
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result = future.result()
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angle_XYZ += result
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progress.update(task, advance=1)
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for i,XYZ in enumerate(angle_XYZ):
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angle_sRGB[i] = colorspace.XYZ2RGB(XYZ)
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maxRGB = np.max(angle_sRGB)
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angle_sRGB/= maxRGB
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@ -136,12 +167,21 @@ def rainbow(n_theta, temp):
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np.clip(angle_sRGB, 0, 1)
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return angles,angle_sRGB
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def bin_find(x, list):
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def bin_find(x, list, start):
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l,r = 0, len(list)-1
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if x < list[l]:
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return 0
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if x >= list[r]:
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return r
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if list[start] <= x < list[start + 1]:
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return start
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elif list[start] < x:
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l = start
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else:
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r = start
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while l <= r:
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mid = l + (r-l)//2
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if list[mid] <= x < list[mid + 1]:
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@ -152,18 +192,39 @@ def bin_find(x, list):
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r = mid - 1
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return -1
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def draw_column(i, w, h, radius, angle_sRGB):
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index = 0
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column = np.zeros((h, 3), dtype=np.int8)
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for j in range(h):
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r = np.linalg.norm(np.array([i,j]) - [w/2, 0])
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index = bin_find(r, radius, index)
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column[j] = angle_sRGB[index]*255
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return i,column
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def take_picture(angles, angle_sRGB, w, h, distance, filename="image.png"):
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image_array = np.zeros((w, h, 3), dtype=np.uint8)
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radius = distance * np.tan(angles)
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for i in track(range(w), description="generating picture..."):
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for j in range(h):
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r = np.linalg.norm(np.array([i,j]) - [w/2, 0])
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index = bin_find(r, radius)
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image_array[i,j] = angle_sRGB[index]*255
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with Progress() as progress:
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# 创建一个进度条
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task2 = progress.add_task("[green]Rendering...", total=w)
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# 使用 ThreadPoolExecutor 并行执行
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with ProcessPoolExecutor() as executor:
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futures2 = [executor.submit(draw_column, i, w,h,radius,angle_sRGB) for i in range(w)]
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for future in as_completed(futures2):
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ind,column = future.result()
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image_array[ind] = column
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progress.update(task2, advance=1)
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image = Image.fromarray(image_array, "RGB")
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image.save(filename)
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if __name__=="__main__":
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angles,sRGB=rainbow(10000, 10)
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w = 7680
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h = 4320
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dis = 2400
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max_angle = 1.1*np.arctan(np.sqrt(1+(h*h+w*w/4)/(dis*dis)))
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angles,sRGB=rainbow(100, max_angle, 10)
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np.savez_compressed("saved.npz", a=angles, b=sRGB)
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take_picture(angles,sRGB, 7680, 4320, 2400, "image.png")
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