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+def trace(disk:Disk, stack:list, max_ray:int): + ray_count = 0 + while stack and ray_count < max_ray: ray = stack.pop() + ray_count += 1 if ray is None: continue if isinstance(ray, Ray): @@ -65,9 +68,9 @@ def trace(disk:Disk, stack:list): if direction[1] > 0: result.append([np.arccos(direction[1]), ray.intensity*direction[1]]) -# init() -stack.append(Ray([0.8, 2*r], [0,-1], 1)) -trace(disk, stack) +init() +# stack.append(Ray([0.8, 2*r], [0,-1], 1)) +trace(disk, stack, max_ray) with open("result.csv", 'w', newline='') as f: writer = csv.writer(f) diff --git a/raytrace_2D.py b/raytrace_2D.py index 310defc..c5d312d 100644 --- a/raytrace_2D.py +++ b/raytrace_2D.py @@ -48,12 +48,20 @@ class Disk(Shapes): if discriminant < 0: return None, None # 没有交点 else: - if np.dot(oc, oc) <= self.radius * self.radius + 1e-10: + dis2 = np.dot(oc,oc) + epsilon = 1e-12 + if dis2 > 1 - epsilon and dis2 < 1 + epsilon: + normal = self.get_normal(ray.origin) + if np.dot(normal, ray.direction) < 0: + t = (-b + np.sqrt(discriminant)) / (2.0 * a) + else: + return None, None + elif dis2 <= 1 - epsilon: t = (-b + np.sqrt(discriminant)) / (2.0 * a) else: t = (-b - np.sqrt(discriminant)) / (2.0 * a) - if t < 0: - return None, None + if t < 0: + return None, None intersection_point = ray.origin + t * ray.direction intersection_point = self.center + self.radius * (intersection_point - self.center)/np.linalg.norm(intersection_point - self.center) return t,intersection_point diff --git a/result.csv b/result.csv index 22349c0..3d23f43 100644 --- a/result.csv +++ b/result.csv @@ -1,5 +1,778 @@ -0.7993010857076976,0.0007048815056688454 -1.3928938872949743,0.003657341850518903 -1.2482567878728648,0.0003454071966921608 -0.8743957180247236,0.0006520310605573929 -0.1162362891411113,0.0010096197790698755 +0.545045746477608,0.10009662782056312 +0.8532694206900227,0.04079850252004099 +1.2349703849866729,0.003045440023223418 +0.16334478218095388,0.004833285798479544 +1.5616599493485868,2.3722613791566842e-05 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