commonMain.Cap.kt Maven / Gradle / Ivy
The newest version!
package org.openrndr.extra.meshgenerators
import org.openrndr.draw.VertexBuffer
import org.openrndr.math.Matrix44
import org.openrndr.math.Vector2
import org.openrndr.math.Vector3
import org.openrndr.math.YPolarity
import org.openrndr.math.transforms.rotateY
/**
* A shape created by rotating an envelope around a vertical axis.
*
* @param sides the angular resolution of the cap
* @param radius the radius of the cap
* @param envelope a list of points defining the profile of the cap. The default envelope is a horizontal line which produces a flat round disk. By providing a more complex envelope one can create curved shapes like a bowl.
* @return A vertex buffer containing the triangles to render the 3D shape
*/
fun capMesh(
sides: Int,
radius: Double,
envelope: List = listOf(
Vector2(0.0, 0.0),
Vector2(1.0, 0.0)
)
): VertexBuffer {
val vb = meshVertexBuffer(6 * sides * (envelope.size - 1))
vb.put {
generateCap(sides, radius, envelope, bufferWriter(this))
}
return vb
}
/**
* Generate a shape by rotating an envelope around a vertical axis.
*
* @param sides the angular resolution of the cap
* @param radius the radius of the cap
* @param envelope a list of points defining the profile of the cap. The default envelope is a horizontal line which produces a flat round disk. By providing a more complex envelope one can create curved shapes like a bowl.
* @param writer the vertex writer function
*/
fun generateCap(
sides: Int,
radius: Double,
envelope: List = listOf(
Vector2(0.0, 0.0),
Vector2(1.0, 0.0)
),
writer: VertexWriter
) {
val maxX = envelope.maxByOrNull { it.x } ?: Vector2(1.0, 0.0)
val a = maxX.x
val cleanEnvelope = envelope.map { Vector2((it.x / a) * radius, it.y) }
val normals2D = envelope.zipWithNext().map {
val d = it.second - it.first
d.normalized.perpendicular(YPolarity.CCW_POSITIVE_Y)
}
val basePositions = cleanEnvelope.map { Vector3(it.x, it.y, 0.0) }
val baseNormals = normals2D.map { Vector3(it.x, it.y, 0.0) }
for (side in 0 until sides) {
val r0 = Matrix44.rotateY(360.0 / sides * side)
val r1 = Matrix44.rotateY(360.0 / sides * (side + 1))
val v0 = basePositions.map { (r0 * it.xyz0).xyz }
val v1 = basePositions.map { (r1 * it.xyz0).xyz }
val n0 = baseNormals.map { (r0 * it.xyz0).xyz }
val n1 = baseNormals.map { (r1 * it.xyz0).xyz }
for (segment in 0 until basePositions.size - 1) {
val p00 = v0[segment]
val p01 = v0[segment + 1]
val p10 = v1[segment]
val p11 = v1[segment + 1]
val nn0 = n0[segment]
val nn1 = n1[segment]
writer(p00, nn0, Vector2.ZERO)
writer(p01, nn0, Vector2.ZERO)
writer(p11, nn1, Vector2.ZERO)
writer(p11, nn1, Vector2.ZERO)
writer(p10, nn1, Vector2.ZERO)
writer(p00, nn0, Vector2.ZERO)
}
}
}
/**
* A shape created by rotating an envelope around a vertical axis.
*
* @param sides the angular resolution of the cap
* @param length the length of the shape. A multiplier for the y component of the envelope
* @param envelope a list of points defining the profile of the shape. The default envelope is a vertical line which produces a hollow cylinder.
* @return A vertex buffer containing the triangles to render the 3D shape
*/
fun revolveMesh(
sides: Int,
length: Double,
envelope: List = listOf(
Vector2(1.0, 0.0),
Vector2(1.0, 1.0)
)
): VertexBuffer {
val vb = meshVertexBuffer(6 * sides * (envelope.size - 1))
vb.put {
generateRevolve(sides, length, envelope, bufferWriter(this))
}
return vb
}
/**
* Generate a shape by rotating an envelope around a vertical axis.
*
* @param sides the angular resolution of the cap
* @param length the length of the shape. A multiplier for the y component of the envelope
* @param envelope a list of points defining the profile of the shape. The default envelope is a vertical line which produces a hollow cylinder.
* @param writer the vertex writer function
*/
fun generateRevolve(
sides: Int,
length: Double,
envelope: List = listOf(
Vector2(1.0, 0.0),
Vector2(1.0, 1.0)
),
writer: VertexWriter
) {
val maxY = envelope.maxByOrNull { it.y } ?: Vector2(0.0, 1.0)
val a = maxY.y
val cleanEnvelope = envelope.map { Vector2((it.x), (it.y / a - 0.5) * length) }
val normals2D = envelope.zipWithNext().map {
val d = it.second - it.first
d.normalized.perpendicular() * Vector2(1.0, -1.0)
}
val basePositions = cleanEnvelope.map { Vector3(it.x, it.y, 0.0) }
val baseNormals = normals2D.map { Vector3(it.x, it.y, 0.0) }
for (side in 0 until sides) {
val r0 = Matrix44.rotateY(360.0 / sides * side)
val r1 = Matrix44.rotateY(360.0 / sides * (side + 1))
val v0 = basePositions.map { (r0 * it.xyz0).xyz }
val v1 = basePositions.map { (r1 * it.xyz0).xyz }
val n0 = baseNormals.map { (r0 * it.xyz0).xyz }
val n1 = baseNormals.map { (r1 * it.xyz0).xyz }
for (segment in 0 until basePositions.size - 1) {
val p00 = v0[segment]
val p01 = v0[segment + 1]
val p10 = v1[segment]
val p11 = v1[segment + 1]
val nn0 = n0[segment]
val nn1 = n1[segment]
writer(p00, nn0, Vector2.ZERO)
writer(p10, nn1, Vector2.ZERO)
writer(p11, nn1, Vector2.ZERO)
writer(p11, nn1, Vector2.ZERO)
writer(p01, nn0, Vector2.ZERO)
writer(p00, nn0, Vector2.ZERO)
}
}
}