Creates a new CutCylinder geometry.
Configuration options.
Protected_Cached bounding volume to prevent re-allocation
Protected_The indices of the geometry for indexed rendering.
Protected_Whether the geometry is purely line-based.
Protected Optional_Optional skinning joints (4 IDs per vertex).
Protected_The normals of the geometry (nx, ny, nz).
Protected_The tangents of the geometry (tx, ty, tz).
Protected_The UV coordinates of the geometry (u, v).
Protected_The vertices of the geometry (x, y, z).
Protected Optional_Optional skinning weights (4 weights per vertex).
Protected_The indices for wireframe rendering.
The maximum height (h2).
The minimum height (h1).
The number of height subdivisions.
Whether the cylinder ends are open (no caps).
The number of radial subdivisions.
The cylinder radius (r).
The central angle in radians.
The start angle in radians.
Protected_Helper method to create an appropriately sized index array. Automatically chooses between 16-bit and 32-bit indices based on vertex count.
The number of indices needed.
A Uint16Array or Uint32Array.
Applies a Matrix4 transformation to all geometry vertices in-place.
The transformation matrix.
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Computes the normals of the geometry using the current vertices and indices. Averages normals for shared vertices.
Computes the tangents of the geometry based on normals and UVs. Required for normal mapping.
Computes the wireframe indices (line-segments) from the current triangle topology.
ProtectedgenerateGenerates the raw geometry data. Must be implemented by subclasses.
Returns a bounding volume that encapsulates this geometry.
The bounding volume.
Calculates the cut angle $\alpha = \arctan\left(\frac{h_2 - h_1}{2r}\right)$ of the top face in radians.
Returns the raw geometry data ready for GPU upload.
The geometry data interface.
Gets the top surface height at a given circumference angle $\theta$.
Circumference angle in radians.
Calculates the lateral / mantle surface area $M = \frac{\theta_{\text{len}}}{2\pi} \cdot \pi r (h_1 + h_2)$.
Calculates the semi-major axis $a = \sqrt{r^2 + \left(\frac{h_2 - h_1}{2}\right)^2}$ of the elliptical cut top.
Calculates the total surface area $A$.
Calculates the volume $V = \frac{\theta_{\text{len}}}{2\pi} \cdot \pi r^2 \frac{h_1 + h_2}{2}$.
Rotates the geometry vertices around the X-axis in-place.
The rotation angle in radians.
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Rotates the geometry vertices around the Y-axis in-place.
The rotation angle in radians.
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Rotates the geometry vertices around the Z-axis in-place.
The rotation angle in radians.
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Scales the geometry vertices in-place.
The scale factor.
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A cut cylinder geometry (Zylinderabschnitt / obliquely cut cylinder / cylindrical ungula).
A cylinder sliced obliquely by a plane at an angle, creating an elliptical top face with minimum height $h_1$ and maximum height $h_2$.
Mathematical formulas:
See
https://rechneronline.de/pi/zylinderabschnitt.php