manual 补充; cpu 写法速度不可接受
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@ -14,5 +14,23 @@
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其中 `obj_ty`、`op_ty` 分别为物体类型(如 `cube`、`sphere`、`torus` 等)与变换类型(如 `pos`、`rot`)。
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# 支持的物体
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目前支持的物体有(不包含 alias):
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`cube`:可选参数长宽高
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`sphere`:可选参数半径
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`torus`:可选参数半径与粗细
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`cylinder`:可选参数半径与高度
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`capsule`:可选参数高度与半径
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特殊物体:
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`camera`:可选参数焦距
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# 支持的变换
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目前支持的变换有
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`pos`
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`rot`
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`color`
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`lookat`
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# 特殊说明
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`<op_ty>` 不包含 scale。非正交的变换会破坏 SDF 的性质。
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@ -1,109 +0,0 @@
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from typing import Optional
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import numpy as np
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from PIL import Image
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from konabot.plugins.marchtoy.command import Scene
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from konabot.plugins.marchtoy.obj import Object, Transform
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class SDQuery:
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def __init__(self, _value: float = np.inf, _obj: Optional[Object] = None):
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self.value: float = _value
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self.obj: Optional[Object] = _obj
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class Rasterizer:
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EPS = 0.001
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MAX_ITER = 128
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MAX_DIST = 128.0
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def __init__(self, _scene: Scene, _res: tuple[int, int]):
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self.scene = _scene
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self.width, self.height = _res
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self.fb_rgba = np.zeros((self.height, self.width, 4), dtype=np.float32)
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def sdf(self, p: np.ndarray) -> SDQuery:
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qry = SDQuery()
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for obj, _ in self.scene.canvas_objs:
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sd = obj.sdf(p)
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if sd < qry.value:
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qry.value = sd
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qry.obj = obj
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return qry
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def nrm(self, p: np.ndarray) -> np.ndarray:
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dx = np.array((self.EPS, 0.0, 0.0))
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dy = np.array((0.0, self.EPS, 0.0))
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dz = np.array((0.0, 0.0, self.EPS))
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grad = np.array(
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[
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self.sdf(p + dx).value - self.sdf(p - dx).value,
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self.sdf(p + dy).value - self.sdf(p - dy).value,
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self.sdf(p + dz).value - self.sdf(p - dz).value,
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],
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dtype=np.float32,
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)
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return Transform.normalize(grad)
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def color(self, p: np.ndarray, obj: Object) -> np.ndarray:
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normal = self.nrm(p)
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light_dir = Transform.normalize(np.array((0.5, 0.8, -0.6), dtype=np.float32))
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light = 0.2 + 0.8 * max(float(np.dot(normal, light_dir)), 0.0)
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base = np.array(obj.texture.color, dtype=np.float32)
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return np.array((base[0] * light, base[1] * light, base[2] * light, base[3]))
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def march(self, origin: np.ndarray, direction: np.ndarray) -> np.ndarray:
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p = origin.copy()
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travel = 0.0
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for _ in range(self.MAX_ITER):
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qry = self.sdf(p)
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if not np.isfinite(qry.value):
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break
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if qry.value < self.EPS and qry.obj is not None:
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return self.color(p, qry.obj)
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if qry.value > self.MAX_DIST or travel > self.MAX_DIST:
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break
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p += direction * qry.value
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travel += qry.value
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return np.zeros(4, dtype=np.float32)
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def camera_basis(self) -> tuple[np.ndarray, np.ndarray]:
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cam = self.scene.camera
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cam_pos = cam.transform.t[0:3, 3]
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cam_z = Transform.normalize(
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(cam.transform.t @ np.array((0.0, 0.0, -1.0, 0.0), dtype=np.float32))[:3]
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)
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world_up = (
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np.array((0.0, 0.0, 1.0), dtype=np.float32)
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if abs(cam_z[1]) > 0.999
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else np.array((0.0, 1.0, 0.0), dtype=np.float32)
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)
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cam_x = Transform.normalize(np.cross(cam_z, world_up))
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cam_y = Transform.normalize(np.cross(cam_x, cam_z))
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view = np.column_stack((cam_x, cam_y, cam_z))
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return cam_pos, view
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def rasterize(self) -> np.ndarray:
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cam_pos, view = self.camera_basis()
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resolution = np.array((self.width, self.height), dtype=np.float32)
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aspect = np.array((self.width / self.height, 1.0), dtype=np.float32)
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cam_focus = float(self.scene.camera.focus)
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for y, x in np.ndindex(self.height, self.width):
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frag_coord = np.array((x + 0.5, y + 0.5), dtype=np.float32)
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uv = 2.0 * (frag_coord / resolution - 0.5) * aspect
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ray_local = Transform.normalize(np.array((uv[0], uv[1], cam_focus)))
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ray_world = Transform.normalize(view @ ray_local)
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self.fb_rgba[y, x] = self.march(cam_pos, ray_world)
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return self.fb_rgba
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async def render(command: str, res: tuple[int, int]):
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rasterizer = Rasterizer(Scene(command), res)
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fb_output = rasterizer.rasterize()
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rgba = np.clip(fb_output * 255.0, 0.0, 255.0).astype(np.uint8)
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return Image.fromarray(rgba, mode="RGBA")
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