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def `sphere(radius: float, density: float) -> None`

生成球体上的点集。

Args:

radius:

density:

Returns:

List[Point3]: 球体上的点集。

源代码

python

@staticmethod
def sphere(radius: float, density: float):
    """
        生成球体上的点集。
        Args:
            radius:
            density:
        Returns:
            List[Point3]: 球体上的点集。
        """
    area = 4 * np.pi * radius ** 2
    num = int(area * density)
    phi_list = np.arccos([clamp(-1 + (2.0 * _ - 1.0) / num, -1, 1) for _ in range(num)])
    theta_list = np.sqrt(num * np.pi) * phi_list
    x_array = radius * np.sin(phi_list) * np.cos(theta_list)
    y_array = radius * np.sin(phi_list) * np.sin(theta_list)
    z_array = radius * np.cos(phi_list)
    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]

class `GeometricModels`

@staticmethod

def `sphere(radius: float, density: float) -> None`

生成球体上的点集。

Args:

radius:

density:

Returns:

List[Point3]: 球体上的点集。

源代码

python

@staticmethod
def sphere(radius: float, density: float):
    """
        生成球体上的点集。
        Args:
            radius:
            density:
        Returns:
            List[Point3]: 球体上的点集。
        """
    area = 4 * np.pi * radius ** 2
    num = int(area * density)
    phi_list = np.arccos([clamp(-1 + (2.0 * _ - 1.0) / num, -1, 1) for _ in range(num)])
    theta_list = np.sqrt(num * np.pi) * phi_list
    x_array = radius * np.sin(phi_list) * np.cos(theta_list)
    y_array = radius * np.sin(phi_list) * np.sin(theta_list)
    z_array = radius * np.cos(phi_list)
    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]

var `area = 4 * np.pi * radius ** 2`

var `num = int(area * density)`

var `phi_list = np.arccos([clamp(-1 + (2.0 * _ - 1.0) / num, -1, 1) for _ in range(num)])`

var `theta_list = np.sqrt(num * np.pi) * phi_list`

var `x_array = radius * np.sin(phi_list) * np.cos(theta_list)`

var `y_array = radius * np.sin(phi_list) * np.sin(theta_list)`

var `z_array = radius * np.cos(phi_list)`

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def sphere(radius: float, density: float) -> None ​

class GeometricModels ​

@staticmethod ​

def sphere(radius: float, density: float) -> None ​

var area = 4 * np.pi * radius ** 2 ​

var num = int(area * density) ​

var phi_list = np.arccos([clamp(-1 + (2.0 * _ - 1.0) / num, -1, 1) for _ in range(num)]) ​

var theta_list = np.sqrt(num * np.pi) * phi_list ​

var x_array = radius * np.sin(phi_list) * np.cos(theta_list) ​

var y_array = radius * np.sin(phi_list) * np.sin(theta_list) ​

var z_array = radius * np.cos(phi_list) ​

def `sphere(radius: float, density: float) -> None`

class `GeometricModels`

@staticmethod

def `sphere(radius: float, density: float) -> None`

var `area = 4 * np.pi * radius ** 2`

var `num = int(area * density)`

var `phi_list = np.arccos([clamp(-1 + (2.0 * _ - 1.0) / num, -1, 1) for _ in range(num)])`

var `theta_list = np.sqrt(num * np.pi) * phi_list`

var `x_array = radius * np.sin(phi_list) * np.cos(theta_list)`

var `y_array = radius * np.sin(phi_list) * np.sin(theta_list)`

var `z_array = radius * np.cos(phi_list)`