def axes(scale=1, radius=None, **kwds):
"""
Creates basic axes in three dimensions. Each axis is a three
dimensional arrow object.
INPUT:
- ``scale`` - (default: 1) The length of the axes (all three
will be the same).
- ``radius`` - (default: .01) The radius of the axes as arrows.
EXAMPLES::
sage: from sage.plot.plot3d.plot3d import axes
sage: S = axes(6, color='black'); S
Graphics3d Object
::
sage: T = axes(2, .5); T
Graphics3d Object
"""
if radius is None:
radius = scale/100.0
return Graphics3dGroup([arrow3d((0,0,0),(scale,0,0), radius, **kwds),
arrow3d((0,0,0),(0,scale,0), radius, **kwds),
arrow3d((0,0,0),(0,0,scale), radius, **kwds)])
def axes(scale=1, radius=None, **kwds):
"""
Creates basic axes in three dimensions. Each axis is a three
dimensional arrow object.
INPUT:
- ``scale`` - (default: 1) The length of the axes (all three
will be the same).
- ``radius`` - (default: .01) The radius of the axes as arrows.
EXAMPLES::
sage: from sage.plot.plot3d.plot3d import axes
sage: S = axes(6, color='black'); S
Graphics3d Object
::
sage: T = axes(2, .5); T
Graphics3d Object
"""
if radius is None:
radius = scale / 100.0
return Graphics3dGroup([
arrow3d((0, 0, 0), (scale, 0, 0), radius, **kwds),
arrow3d((0, 0, 0), (0, scale, 0), radius, **kwds),
arrow3d((0, 0, 0), (0, 0, scale), radius, **kwds)
])
def tachyon_repr(self, render_params):
"""
Returns representation of the line suitable for plotting
using the Tachyon ray tracer.
TESTS::
sage: L = line3d([(cos(i),sin(i),i^2) for i in srange(0,10,.01)],color='red')
sage: L.tachyon_repr(L.default_render_params())[0]
'FCylinder base 1.0 0.0 0.0 apex 0.999950000417 0.00999983333417 0.0001 rad 0.005 texture...'
"""
T = render_params.transform
cmds = []
px, py, pz = self.points[0] if T is None else T(self.points[0])
radius = self.thickness * TACHYON_PIXEL
for P in self.points[1:]:
x, y, z = P if T is None else T(P)
if self.arrow_head and P is self.points[-1]:
A = shapes.arrow3d((px, py, pz), (x, y, z), radius = radius, texture = self.texture)
render_params.push_transform(~T)
cmds.append(A.tachyon_repr(render_params))
render_params.pop_transform()
else:
cmds.append("FCylinder base %s %s %s apex %s %s %s rad %s %s" % (px, py, pz,
x, y, z,
radius,
self.texture.id))
px, py, pz = x, y, z
return cmds
def axes(scale=1, radius=None, **kwds):
if radius is None:
radius = scale/100.0
return Graphics3dGroup([arrow3d((0,0,0),(scale,0,0), radius, **kwds),
arrow3d((0,0,0),(0,scale,0), radius, **kwds),
arrow3d((0,0,0),(0,0,scale), radius, **kwds)])
