Class: Mittsu::ParametricGeometry

Inherits:
Geometry
  • Object
show all
Defined in:
lib/mittsu/extras/geometries/parametric_geometry.rb

Instance Attribute Summary

Attributes inherited from Geometry

#bounding_box, #bounding_sphere, #colors, #dynamic, #face_vertex_uvs, #faces, #has_tangents, #id, #line_distances, #morph_colors, #morph_normals, #morph_targets, #name, #skin_indices, #skin_weights, #type, #uuid, #vertices

Class Method Summary collapse

Instance Method Summary collapse

Methods inherited from Geometry

#apply_matrix, #center, #clone, #compute_bounding_box, #compute_bounding_sphere, #compute_face_normals, #compute_line_distances, #compute_morph_normals, #compute_tangents, #compute_vertex_normals, #dispose, #from_buffer_geometry, #merge, #merge_mesh, #merge_vertices, #to_json

Methods included from EventDispatcher

#add_event_listener, #dispatch_event, #has_event_listener, #remove_event_listener

Constructor Details

#initialize(func, slices, stacks) ⇒ ParametricGeometry

Returns a new instance of ParametricGeometry.



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# File 'lib/mittsu/extras/geometries/parametric_geometry.rb', line 5

def initialize(func, slices, stacks)
  super()

  @type = 'ParametricGeometry'

  @parameters = {
    func:   func,
    slices: slices,
    stacks: stacks
  }

  from_buffer_geometry(ParametricBufferGeometry.new(func, slices, stacks))
  merge_vertices
end

Class Method Details

.klein ⇒ Object 



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# File 'lib/mittsu/extras/geometries/parametric_geometry.rb', line 20

def self.klein
  -> (v, u, target = Vector3.new) {
    u *= ::Math::PI
    v *= 2.0 * ::Math::PI

    u = u * 2.0
    x = nil
    y = nil
    z = nil

    if u < ::Math::PI
      x = 3.0 * ::Math.cos(u) * (1.0 + ::Math.sin(u)) + (2.0 * (1.0 - ::Math.cos(u) / 2.0)) * ::Math.cos(u) * ::Math.cos(v)
      z = -8.0 * ::Math.sin(u) - 2.0 * (1.0 - ::Math.cos(u) / 2.0) * ::Math.sin(u) * ::Math.cos(v)
    else
      x = 3.0 * ::Math.cos(u) * (1.0 + ::Math.sin(u)) + (2.0 * (1.0 - ::Math.cos(u) / 2.0)) * ::Math.cos(v + ::Math::PI)
      z = -8.0 * ::Math.sin(u)
    end

    y = -2.0 * (1.0 - ::Math.cos(u) / 2.0) * ::Math.sin(v)

    target.set(x, y, z)
  }
end

.mobius ⇒ Object 



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# File 'lib/mittsu/extras/geometries/parametric_geometry.rb', line 54

def self.mobius
  -> (u, t, target = Vector3.new) {
    # flat mobius strip
    # http://www.wolframalpha.com/input/?i=M%C3%B6bius+strip+parametric+equations&lk=1&a=ClashPrefs_*Surface.MoebiusStrip.SurfaceProperty.ParametricEquations-
    u = u - 0.5
    v = 2.0 * ::Math::PI * t

    a = 2.0

    x = ::Math.cos(v) * (a + u * ::Math.cos(v / 2.0))
    y = ::Math.sin(v) * (a + u * ::Math.cos(v / 2.0))
    z = u * ::Math.sin(v / 2)

    target.set(x, y, z)
  }
end

.mobius3d ⇒ Object 



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# File 'lib/mittsu/extras/geometries/parametric_geometry.rb', line 71

def self.mobius3d
  -> (u, t, target = Vector3.new) {
    # volumetric mobius strip

    u *= ::Math::PI
    t *= 2.0 * ::Math::PI

    u = u * 2.0
    phi = u / 2.0
    major = 2.25
    a = 0.125
    b = 0.65

    x = a * ::Math.cos(t) * ::Math.cos(phi) - b * ::Math.sin(t) * ::Math.sin(phi)
    z = a * ::Math.cos(t) * ::Math.sin(phi) + b * ::Math.sin(t) * ::Math.cos(phi)
    y = (major + x) * ::Math.sin(u)
    x = (major + x) * ::Math.cos(u)

    target.set(x, y, z)
  }
end

.plane(width, height) ⇒ Object 



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# File 'lib/mittsu/extras/geometries/parametric_geometry.rb', line 44

def self.plane(width, height)
  -> (u, v, target = Vector3.new) {
    x = u.to_f * width.to_f
    y = 0.0
    z = v.to_f * height.to_f

    target.set(x, y, z)
  }
end