Created
September 30, 2020 23:41
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3D Wireframe
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def tick(args) | |
unless args.state.model | |
args.state.model = Object3D.new('data/lowpoly_teapot.off') | |
args.state.model.fast_3x3_transform!(rotate3D(0.2, 0.0, 0.0)) | |
args.state.spin_mtx = rotate3D(0.00, 0.00, 0.01) | |
args.outputs.static_lines << args.state.model.edges | |
end | |
args.state.model.fast_3x3_transform!(args.state.spin_mtx) | |
end | |
def mtx_dot(a, b) | |
js = (0...b[0].length) | |
ks = (0...b.length) | |
(0...a.length).map do |i| | |
js.map do |j| | |
sum = 0 | |
ks.each { |k| sum += a[i][k] * b[k][j] } | |
sum | |
end | |
end | |
end | |
def rotate3D(theta_x = 0.1, theta_y = 0.1, theta_z = 0.1) | |
c_x, s_x = Math.cos(theta_x), Math.sin(theta_x) | |
c_y, s_y = Math.cos(theta_y), Math.sin(theta_y) | |
c_z, s_z = Math.cos(theta_z), Math.sin(theta_z) | |
rot_x = [[1, 0, 0], [0, c_x, -s_x], [0, s_x, c_x]] | |
rot_y = [[c_y, 0, s_y], [0, 1, 0], [-s_y, 0, c_y]] | |
rot_z = [[c_z, -s_z, 0], [s_z, c_z, 0], [0, 0, 1]] | |
mtx_dot(mtx_dot(rot_x, rot_y), rot_z) | |
end | |
class Vertex | |
attr_accessor :x, :y, :z | |
attr_accessor :id | |
def initialize(data, id) | |
@x = data[0].to_f | |
@y = data[1].to_f | |
@z = data[2].to_f | |
@id = id | |
end | |
def fast_3x3_transform!(mtx) | |
@x, @y, @z = mtx[0][0] * @x + mtx[0][1] * @y + mtx[0][2] * @z, mtx[1][0] * @x + mtx[1][1] * @y + mtx[1][2] * @z, mtx[2][0] * @x + mtx[2][1] * @y + mtx[2][2] * @z | |
end | |
def col_vector | |
[@x, @y, @z].transpose | |
end | |
def set_col_vector(col) | |
@x = col[0][0] | |
@y = col[1][0] | |
@z = col[2][0] | |
end | |
end | |
class Face | |
attr_reader :verts, :edges | |
def initialize(data, verts) | |
vert_count = data[0].to_i | |
vert_ids = data[1, vert_count].map(&:to_i) | |
@verts = vert_ids.map { |i| verts[i] } | |
@edges = (0...vert_count).map { |i| Edge.new(verts[vert_ids[i - 1]], verts[vert_ids[i]]) }.rotate(1) | |
end | |
end | |
class Edge | |
attr_accessor :a, :r, :g, :b | |
attr_reader :point_a, :point_b | |
def initialize(point_a, point_b) | |
@point_a, @point_b = point_a, point_b | |
@a = 255 | |
@r = @g = @b = 0 | |
end | |
def sorted | |
@point_a.id < @point_b.id ? self : Edge.new(@point_b, @point_a) | |
end | |
def x | |
@point_a.x * 300 + 640 | |
end | |
def y | |
@point_a.z * 300 + 360 | |
end | |
def x2 | |
@point_b.x * 300 + 640 | |
end | |
def y2 | |
@point_b.z * 300 + 360 | |
end | |
def primitive_marker | |
:line | |
end | |
end | |
class Object3D | |
attr_reader :vert_count, :face_count, :edge_count, :verts, :faces, :edges | |
def initialize(path = 'data/lowpoly_teapot.off') | |
@vert_count = @face_count = @edge_count = 0 | |
@verts = [] | |
@faces = [] | |
@edges = [] | |
_init_from_file(path) | |
end | |
def _init_from_file(path) | |
file_lines = $gtk.read_file(path).split("\n") | |
.reject { |line| line.start_with?('#') || line.split(' ').length == 0 } # Strip out simple comments and blank lines | |
.map { |line| line.split('#')[0] } # Strip out end of line comments | |
.map { |line| line.split(' ') } # Tokenize by splitting on whitespace | |
raise "OFF file did not start with OFF." if file_lines.shift != ["OFF"] | |
raise "<NVertices NFaces NEdges> line malformed" if file_lines[0].length != 3 | |
@vert_count, @face_count, @edge_count = file_lines.shift&.map(&:to_i) | |
raise "Incorrect number of vertices and/or faces (Parsed VFE header: #{@vert_count} #{@face_count} #{@edge_count})" if file_lines.length != @vert_count + @face_count | |
vert_lines = file_lines[0, @vert_count] | |
face_lines = file_lines[@vert_count, @face_count] | |
@verts = vert_lines.map_with_index { |line, id| Vertex.new(line, id) } | |
@faces = face_lines.map { |line| Face.new(line, @verts) } | |
@edges = @faces.flat_map(&:edges).uniq do |edge| | |
sorted = edge.sorted | |
[sorted.point_a, sorted.point_b] | |
end | |
end | |
def fast_3x3_transform!(mtx) | |
@verts.each { |vert| vert.fast_3x3_transform!(mtx) } | |
end | |
end |
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NOTE: I renamed
lowpoly_teapot.off
tozzz_lowpoly_teapot.off
so the code would show at the top of the gist.The code assumes there's a file called
lowpoly_teapot.off
in thedata
directory.