def createHullMesh(self, hull_points):
mesh = MeshData()
if len(hull_points) > 3:
center = (hull_points.min(0) + hull_points.max(0)) / 2.0
mesh.addVertex(center[0], -0.1, center[1])
else:
return None
for point in hull_points:
mesh.addVertex(point[0], -0.1, point[1])
indices = []
for i in range(len(hull_points) - 1):
indices.append([0, i + 1, i + 2])
indices.append([0, mesh.getVertexCount() - 1, 1])
mesh.addIndices(numpy.array(indices, numpy.int32))
return mesh
def createHullMesh(self, hull_points):
mesh = MeshData()
if len(hull_points) > 3:
center = (hull_points.min(0) + hull_points.max(0)) / 2.0
mesh.addVertex(center[0], -0.1, center[1])
else:
return None
for point in hull_points:
mesh.addVertex(point[0], -0.1, point[1])
indices = []
for i in range(len(hull_points) - 1):
indices.append([0, i + 1, i + 2])
indices.append([0, mesh.getVertexCount() - 1, 1])
mesh.addIndices(numpy.array(indices, numpy.int32))
return mesh
def __init__(self, node, hull, parent = None):
super().__init__(parent)
self.setCalculateBoundingBox(False)
self._material = None
self._original_parent = parent
self._inherit_orientation = False
self._inherit_scale = False
self._node = node
self._node.transformationChanged.connect(self._onNodePositionChanged)
self._node.parentChanged.connect(self._onNodeParentChanged)
#self._onNodePositionChanged(self._node)
self._hull = hull
hull_points = self._hull.getPoints()
center = (hull_points.min(0) + hull_points.max(0)) / 2.0
mesh = MeshData()
mesh.addVertex(center[0], 0.1, center[1])
for point in hull_points:
mesh.addVertex(point[0], 0.1, point[1])
indices = []
for i in range(len(hull_points) - 1):
indices.append([0, i + 1, i + 2])
indices.append([0, mesh.getVertexCount() - 1, 1])
mesh.addIndices(numpy.array(indices, numpy.int32))
self.setMeshData(mesh)
def __init__(self, node, hull, parent = None):
super().__init__(parent)
self.setCalculateBoundingBox(False)
self._material = None
self._original_parent = parent
self._inherit_orientation = False
self._inherit_scale = False
self._node = node
self._node.transformationChanged.connect(self._onNodePositionChanged)
self._node.parentChanged.connect(self._onNodeParentChanged)
#self._onNodePositionChanged(self._node)
self._hull = hull
hull_points = self._hull.getPoints()
mesh = MeshData()
if len(hull_points) > 3:
center = (hull_points.min(0) + hull_points.max(0)) / 2.0
mesh.addVertex(center[0], 0.1, center[1])
else: #Hull has not enough points
return
for point in hull_points:
mesh.addVertex(point[0], 0.1, point[1])
indices = []
for i in range(len(hull_points) - 1):
indices.append([0, i + 1, i + 2])
indices.append([0, mesh.getVertexCount() - 1, 1])
mesh.addIndices(numpy.array(indices, numpy.int32))
self.setMeshData(mesh)
class MeshBuilder:
def __init__(self):
self._mesh_data = MeshData()
def getData(self):
return self._mesh_data
def addLine(self, v0, v1, **kwargs):
self._mesh_data.addVertex(v0.x, v0.y, v0.z)
self._mesh_data.addVertex(v1.x, v1.y, v1.z)
color = kwargs.get("color", None)
if color:
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 2, color)
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 1, color)
def addFace(self, v0, v1, v2, **kwargs):
normal = kwargs.get("normal", None)
if normal:
self._mesh_data.addFaceWithNormals(
v0.x, v0.y, v0.z,
normal.x, normal.y, normal.z,
v1.x, v1.y, v1.z,
normal.x, normal.y, normal.z,
v2.x, v2.y, v2.z,
normal.x, normal.y, normal.z
)
else:
self._mesh_data.addFace(v0.x, v0.y, v0.z, v1.x, v1.y, v1.z, v2.x, v2.y, v2.z)
color = kwargs.get("color", None)
if color:
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 3, color)
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 2, color)
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 1, color)
def addQuad(self, v0, v1, v2, v3, **kwargs):
self.addFace(v0, v2, v1,
color = kwargs.get("color"),
normal = kwargs.get("normal")
)
self.addFace(v0, v3, v2,
color = kwargs.get("color"),
normal = kwargs.get("normal")
)
def addCube(self, **kwargs):
width = kwargs["width"]
height = kwargs["height"]
depth = kwargs["depth"]
center = kwargs.get("center", Vector(0, 0, 0))
minW = -width / 2 + center.x
maxW = width / 2 + center.x
minH = -height / 2 + center.y
maxH = height / 2 + center.y
minD = -depth / 2 + center.z
maxD = depth / 2 + center.z
start = self._mesh_data.getVertexCount()
verts = numpy.asarray([
[minW, minH, maxD],
[minW, maxH, maxD],
[maxW, maxH, maxD],
[maxW, minH, maxD],
[minW, minH, minD],
[minW, maxH, minD],
[maxW, maxH, minD],
[maxW, minH, minD],
], dtype=numpy.float32)
self._mesh_data.addVertices(verts)
indices = numpy.asarray([
[start, start + 2, start + 1],
[start, start + 3, start + 2],
[start + 3, start + 7, start + 6],
[start + 3, start + 6, start + 2],
[start + 7, start + 5, start + 6],
[start + 7, start + 4, start + 5],
[start + 4, start + 1, start + 5],
[start + 4, start + 0, start + 1],
[start + 1, start + 6, start + 5],
[start + 1, start + 2, start + 6],
[start + 0, start + 7, start + 3],
[start + 0, start + 4, start + 7]
], dtype=numpy.int32)
self._mesh_data.addIndices(indices)
color = kwargs.get("color", None)
if color:
vertex_count = self._mesh_data.getVertexCount()
for i in range(1, 9):
self._mesh_data.setVertexColor(vertex_count - i, color)
def addArc(self, **kwargs):
radius = kwargs["radius"]
axis = kwargs["axis"]
max_angle = kwargs.get("angle", math.pi * 2)
center = kwargs.get("center", Vector(0, 0, 0))
sections = kwargs.get("sections", 32)
color = kwargs.get("color", None)
if axis == Vector.Unit_Y:
start = axis.cross(Vector.Unit_X).normalize() * radius
else:
start = axis.cross(Vector.Unit_Y).normalize() * radius
angle_increment = max_angle / sections
angle = 0
point = start + center
m = Matrix()
while angle <= max_angle:
self._mesh_data.addVertex(point.x, point.y, point.z)
angle += angle_increment
m.setByRotationAxis(angle, axis)
point = start.multiply(m) + center
self._mesh_data.addVertex(point.x, point.y, point.z)
if color:
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 2, color)
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 1, color)
def addDonut(self, **kwargs):
inner_radius = kwargs["inner_radius"]
outer_radius = kwargs["outer_radius"]
width = kwargs["width"]
center = kwargs.get("center", Vector(0, 0, 0))
sections = kwargs.get("sections", 32)
color = kwargs.get("color", None)
angle = kwargs.get("angle", 0)
axis = kwargs.get("axis", Vector.Unit_Y)
vertices = []
indices = []
colors = []
start = self._mesh_data.getVertexCount()
for i in range(sections):
v1 = start + i * 3
v2 = v1 + 1
v3 = v1 + 2
v4 = v1 + 3
v5 = v1 + 4
v6 = v1 + 5
if i+1 >= sections: # connect the end to the start
v4 = start
v5 = start + 1
v6 = start + 2
theta = i * math.pi / (sections / 2)
c = math.cos(theta)
s = math.sin(theta)
vertices.append( [inner_radius * c, inner_radius * s, 0] )
vertices.append( [outer_radius * c, outer_radius * s, width] )
vertices.append( [outer_radius * c, outer_radius * s, -width] )
indices.append( [v1, v4, v5] )
indices.append( [v2, v1, v5] )
indices.append( [v2, v5, v6] )
indices.append( [v3, v2, v6] )
indices.append( [v3, v6, v4] )
indices.append( [v1, v3, v4] )
if color:
colors.append( [color.r, color.g, color.b, color.a] )
colors.append( [color.r, color.g, color.b, color.a] )
colors.append( [color.r, color.g, color.b, color.a] )
matrix = Matrix()
matrix.setByRotationAxis(angle, axis)
vertices = numpy.asarray(vertices, dtype = numpy.float32)
vertices = vertices.dot(matrix.getData()[0:3,0:3])
vertices[:] += center.getData()
self._mesh_data.addVertices(vertices)
self._mesh_data.addIndices(numpy.asarray(indices, dtype = numpy.int32))
self._mesh_data.addColors(numpy.asarray(colors, dtype = numpy.float32))
def addPyramid(self, **kwargs):
width = kwargs["width"]
height = kwargs["height"]
depth = kwargs["depth"]
angle = math.radians(kwargs.get("angle", 0))
axis = kwargs.get("axis", Vector.Unit_Y)
center = kwargs.get("center", Vector(0, 0, 0))
minW = -width / 2
maxW = width / 2
minD = -depth / 2
maxD = depth / 2
start = self._mesh_data.getVertexCount()
matrix = Matrix()
matrix.setByRotationAxis(angle, axis)
verts = numpy.asarray([
[minW, 0, maxD],
[maxW, 0, maxD],
[minW, 0, minD],
[maxW, 0, minD],
[0, height, 0]
], dtype=numpy.float32)
verts = verts.dot(matrix.getData()[0:3,0:3])
verts[:] += center.getData()
self._mesh_data.addVertices(verts)
indices = numpy.asarray([
[start, start + 1, start + 4],
[start + 1, start + 3, start + 4],
[start + 3, start + 2, start + 4],
[start + 2, start, start + 4],
[start, start + 3, start + 1],
[start, start + 2, start + 3]
], dtype=numpy.int32)
self._mesh_data.addIndices(indices)
color = kwargs.get("color", None)
if color:
vertex_count = self._mesh_data.getVertexCount()
for i in range(1, 6):
self._mesh_data.setVertexColor(vertex_count - i, color)
class MeshBuilder:
## Creates a new MeshBuilder with an empty mesh.
def __init__(self):
self._mesh_data = MeshData()
## Gets the mesh that was built by this MeshBuilder.
#
# Note that this gets a reference to the mesh. Adding more primitives to
# the MeshBuilder will cause the mesh returned by this function to change
# as well.
#
# \return A mesh with all the primitives added to this MeshBuilder.
def getData(self):
return self._mesh_data
## Adds a 3-dimensional line to the mesh of this mesh builder.
#
# \param v0 One endpoint of the line to add.
# \param v1 The other endpoint of the line to add.
# \param color (Optional) The colour of the line, if any. If no colour is
# provided, the colour is determined by the shader.
def addLine(self, v0, v1, color = None):
self._mesh_data.addVertex(v0.x, v0.y, v0.z)
self._mesh_data.addVertex(v1.x, v1.y, v1.z)
if color: #Add colours to the vertices, if we have them.
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 2, color)
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 1, color)
## Adds a triangle to the mesh of this mesh builder.
#
# \param v0 The first corner of the triangle.
# \param v1 The second corner of the triangle.
# \param v2 The third corner of the triangle.
# \param normal (Optional) The normal vector for the triangle. If no
# normal vector is provided, it will be calculated automatically.
# \param color (Optional) The colour for the triangle. If no colour is
# provided, the colour is determined by the shader.
def addFace(self, v0, v1, v2, normal = None, color = None):
if normal:
self._mesh_data.addFaceWithNormals(
v0.x, v0.y, v0.z,
normal.x, normal.y, normal.z,
v1.x, v1.y, v1.z,
normal.x, normal.y, normal.z,
v2.x, v2.y, v2.z,
normal.x, normal.y, normal.z
)
else:
self._mesh_data.addFace(v0.x, v0.y, v0.z, v1.x, v1.y, v1.z, v2.x, v2.y, v2.z) #Computes the normal by itself.
if color: #Add colours to the vertices if we have them.
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 3, color)
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 2, color)
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 1, color)
## Add a quadrilateral to the mesh of this mesh builder.
#
# The quadrilateral will be constructed as two triangles. v0 and v2 are
# the two vertices across the diagonal of the quadrilateral.
#
# \param v0 The first corner of the quadrilateral.
# \param v1 The second corner of the quadrilateral.
# \param v2 The third corner of the quadrilateral.
# \param v3 The fourth corner of the quadrilateral.
# \param normal (Optional) The normal vector for the quadrilateral. Both
# triangles will get the same normal vector, if provided. If no normal
# vector is provided, the normal vectors for both triangles are computed
# automatically.
# \param color (Optional) The colour for the quadrilateral. If no colour
# is provided, the colour is determined by the shader.
def addQuad(self, v0, v1, v2, v3, normal = None, color = None):
self.addFace(v0, v2, v1,
color = color,
normal = normal
)
self.addFace(v0, v3, v2, #v0 and v2 are shared with the other triangle!
color = color,
normal = normal
)
## Add a rectangular cuboid to the mesh of this mesh builder.
#
# A rectangular cuboid is a square block with arbitrary width, height and
# depth.
#
# \param width The size of the rectangular cuboid in the X dimension.
# \param height The size of the rectangular cuboid in the Y dimension.
# \param depth The size of the rectangular cuboid in the Z dimension.
# \param center (Optional) The position of the centre of the rectangular
# cuboid in space. If not provided, the cuboid is placed at the coordinate
# origin.
# \param color (Optional) The colour for the rectangular cuboid. If no
# colour is provided, the colour is determined by the shader.
def addCube(self, width, height, depth, center = Vector(0, 0, 0), color = None):
#Compute the actual positions of the planes.
minW = -width / 2 + center.x
maxW = width / 2 + center.x
minH = -height / 2 + center.y
maxH = height / 2 + center.y
minD = -depth / 2 + center.z
maxD = depth / 2 + center.z
start = self._mesh_data.getVertexCount()
verts = numpy.asarray([ #All 8 corners.
[minW, minH, maxD],
[minW, maxH, maxD],
[maxW, maxH, maxD],
[maxW, minH, maxD],
[minW, minH, minD],
[minW, maxH, minD],
[maxW, maxH, minD],
[maxW, minH, minD],
], dtype=numpy.float32)
self._mesh_data.addVertices(verts)
indices = numpy.asarray([ #All 6 quads (12 triangles).
[start, start + 2, start + 1],
[start, start + 3, start + 2],
[start + 3, start + 7, start + 6],
[start + 3, start + 6, start + 2],
[start + 7, start + 5, start + 6],
[start + 7, start + 4, start + 5],
[start + 4, start + 1, start + 5],
[start + 4, start + 0, start + 1],
[start + 1, start + 6, start + 5],
[start + 1, start + 2, start + 6],
[start + 0, start + 7, start + 3],
[start + 0, start + 4, start + 7]
], dtype=numpy.int32)
self._mesh_data.addIndices(indices)
if color: #If we have a colour, add a colour to all of the vertices.
vertex_count = self._mesh_data.getVertexCount()
for i in range(1, 9):
self._mesh_data.setVertexColor(vertex_count - i, color)
## Add an arc to the mesh of this mesh builder.
#
# An arc is a curve that is also a segment of a circle.
#
# \param radius The radius of the circle this arc is a segment of.
# \param axis The axis perpendicular to the plane on which the arc lies.
# \param angle (Optional) The length of the arc, in radians. If not
# provided, the entire circle is used (2 pi).
# \param center (Optional) The position of the centre of the arc in space.
# If no position is provided, the arc is centred around the coordinate
# origin.
# \param sections (Optional) The resolution of the arc. The arc is
# approximated by this number of line segments.
# \param color (Optional) The colour for the arc. If no colour is
# provided, the colour is determined by the shader.
def addArc(self, radius, axis, angle = math.pi * 2, center = Vector(0, 0, 0), sections = 32, color = None):
#We'll compute the vertices of the arc by computing an initial point and
#rotating the initial point with a rotation matrix.
if axis == Vector.Unit_Y:
start = axis.cross(Vector.Unit_X).normalize() * radius
else:
start = axis.cross(Vector.Unit_Y).normalize() * radius
angle_increment = angle / sections
current_angle = 0
point = start + center
m = Matrix()
while current_angle <= angle: #Add each of the vertices.
self._mesh_data.addVertex(point.x, point.y, point.z)
current_angle += angle_increment
m.setByRotationAxis(current_angle, axis)
point = start.multiply(m) + center #Get the next vertex by rotating the start position with a matrix.
self._mesh_data.addVertex(point.x, point.y, point.z)
if color: #If we have a colour, add that colour to the new vertex.
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 2, color)
self._mesh_data.setVertexColor(self._mesh_data.getVertexCount() - 1, color)
## Adds a torus to the mesh of this mesh builder.
#
# The torus is the shape of a doughnut. This doughnut is delicious and
# moist, but not very healthy.
#
# \param inner_radius The radius of the hole inside the torus. Must be
# smaller than outer_radius.
# \param outer_radius The radius of the outside of the torus. Must be
# larger than inner_radius.
# \param width The radius of the torus in perpendicular direction to its
# perimeter. This is the "thickness".
# \param center (Optional) The position of the centre of the torus. If no
# position is provided, the torus will be centred around the coordinate
# origin.
# \param sections (Optional) The resolution of the torus in the
# circumference. The resolution of the intersection of the torus cannot be
# changed.
# \param color (Optional) The colour of the torus. If no colour is
# provided, a colour will be determined by the shader.
# \param angle (Optional) An angle of rotation to rotate the torus by, in
# radians.
# \param axis (Optional) An axis of rotation to rotate the torus around.
# If no axis is provided and the angle of rotation is nonzero, the torus
# will be rotated around the Y-axis.
def addDonut(self, inner_radius, outer_radius, width, center = Vector(0, 0, 0), sections = 32, color = None, angle = 0, axis = Vector.Unit_Y):
vertices = []
indices = []
colors = []
start = self._mesh_data.getVertexCount() #Starting index.
for i in range(sections):
v1 = start + i * 3 #Indices for each of the vertices we'll add for this section.
v2 = v1 + 1
v3 = v1 + 2
v4 = v1 + 3
v5 = v1 + 4
v6 = v1 + 5
if i+1 >= sections: # connect the end to the start
v4 = start
v5 = start + 1
v6 = start + 2
theta = i * math.pi / (sections / 2) #Angle of this piece around torus perimeter.
c = math.cos(theta) #X-coordinate around torus perimeter.
s = math.sin(theta) #Y-coordinate around torus perimeter.
#One vertex on the inside perimeter, two on the outside perimiter (up and down).
vertices.append( [inner_radius * c, inner_radius * s, 0] )
vertices.append( [outer_radius * c, outer_radius * s, width] )
vertices.append( [outer_radius * c, outer_radius * s, -width] )
#Connect the vertices to the next segment.
indices.append( [v1, v4, v5] )
indices.append( [v2, v1, v5] )
indices.append( [v2, v5, v6] )
indices.append( [v3, v2, v6] )
indices.append( [v3, v6, v4] )
indices.append( [v1, v3, v4] )
if color: #If we have a colour, add it to the vertices.
colors.append( [color.r, color.g, color.b, color.a] )
colors.append( [color.r, color.g, color.b, color.a] )
colors.append( [color.r, color.g, color.b, color.a] )
#Rotate the resulting torus around the specified axis.
matrix = Matrix()
matrix.setByRotationAxis(angle, axis)
vertices = numpy.asarray(vertices, dtype = numpy.float32)
vertices = vertices.dot(matrix.getData()[0:3, 0:3])
vertices[:] += center.getData() #And translate to the desired position.
self._mesh_data.addVertices(vertices)
self._mesh_data.addIndices(numpy.asarray(indices, dtype = numpy.int32))
self._mesh_data.addColors(numpy.asarray(colors, dtype = numpy.float32))
## Adds a pyramid to the mesh of this mesh builder.
#
# \param width The width of the base of the pyramid.
# \param height The height of the pyramid (from base to notch).
# \param depth The depth of the base of the pyramid.
# \param angle (Optional) An angle of rotation to rotate the pyramid by,
# in degrees.
# \param axis (Optional) An axis of rotation to rotate the pyramid around.
# If no axis is provided and the angle of rotation is nonzero, the pyramid
# will be rotated around the Y-axis.
# \param center (Optional) The position of the centre of the base of the
# pyramid. If not provided, the pyramid will be placed on the coordinate
# origin.
# \param color (Optional) The colour of the pyramid. If no colour is
# provided, a colour will be determined by the shader.
def addPyramid(self, width, height, depth, angle = 0, axis = Vector.Unit_Y, center = Vector(0, 0, 0), color = None):
angle = math.radians(angle)
minW = -width / 2
maxW = width / 2
minD = -depth / 2
maxD = depth / 2
start = self._mesh_data.getVertexCount() #Starting index.
matrix = Matrix()
matrix.setByRotationAxis(angle, axis)
verts = numpy.asarray([ #All 5 vertices of the pyramid.
[minW, 0, maxD],
[maxW, 0, maxD],
[minW, 0, minD],
[maxW, 0, minD],
[0, height, 0]
], dtype=numpy.float32)
verts = verts.dot(matrix.getData()[0:3,0:3]) #Rotate the pyramid around the axis.
verts[:] += center.getData()
self._mesh_data.addVertices(verts)
indices = numpy.asarray([ #Connect the vertices to each other (6 triangles).
[start, start + 1, start + 4], #The four sides of the pyramid.
[start + 1, start + 3, start + 4],
[start + 3, start + 2, start + 4],
[start + 2, start, start + 4],
[start, start + 3, start + 1], #The base of the pyramid.
[start, start + 2, start + 3]
], dtype=numpy.int32)
self._mesh_data.addIndices(indices)
if color: #If we have a colour, add the colour to each of the vertices.
vertex_count = self._mesh_data.getVertexCount()
for i in range(1, 6):
self._mesh_data.setVertexColor(vertex_count - i, color)