def process_option(self, name, value):
if name == "System`VertexColors":
if not value.has_form("List", None):
raise BoxConstructError
black = RGBColor(components=[0, 0, 0, 1])
self.vertex_colors = [[black] * len(line) for line in self.lines]
colors = value.leaves
if not self.multi_parts:
colors = [Expression(SymbolList, *colors)]
for line_index, line in enumerate(self.lines):
if line_index >= len(colors):
break
line_colors = colors[line_index]
if not line_colors.has_form("List", None):
continue
for index, color in enumerate(line_colors.leaves):
if index >= len(self.vertex_colors[line_index]):
break
try:
self.vertex_colors[line_index][index] = _Color.create(
color)
except ColorError:
continue
else:
raise BoxConstructError
def apply(self, colors, u, evaluation):
"Blend[{colors___}, u_]"
colors_orig = colors
try:
colors = [_Color.create(color) for color in colors.get_sequence()]
if not colors:
raise ColorError
except ColorError:
evaluation.message("Blend", "arg",
Expression(SymbolList, colors_orig))
return
if u.has_form("List", None):
values = [value.round_to_float(evaluation) for value in u.leaves]
if None in values:
values = None
if len(u.leaves) != len(colors):
values = None
use_list = True
else:
values = u.round_to_float(evaluation)
if values is None:
pass
elif values > 1:
values = 1.0
elif values < 0:
values = 0.0
use_list = False
if values is None:
return evaluation.message("Blend", "argl", u,
Expression(SymbolList, colors_orig))
if use_list:
return self.do_blend(colors, values).to_expr()
else:
x = values
pos = int(floor(x * (len(colors) - 1)))
x = (x - pos * 1.0 / (len(colors) - 1)) * (len(colors) - 1)
if pos == len(colors) - 1:
return colors[-1].to_expr()
else:
return self.do_blend(colors[pos:(pos + 2)],
[1 - x, x]).to_expr()
def _prepare_elements(self, leaves, options, neg_y=False, max_width=None):
if not leaves:
raise BoxConstructError
self.graphics_options = self.get_option_values(leaves[1:], **options)
background = self.graphics_options["System`Background"]
if (isinstance(background, Symbol)
and background.get_name() == "System`Automatic"):
self.background_color = None
else:
self.background_color = _Color.create(background)
base_width, base_height, size_multiplier, size_aspect = self._get_image_size(
options, self.graphics_options, max_width)
plot_range = self.graphics_options["System`PlotRange"].to_python()
if plot_range == "System`Automatic":
plot_range = ["System`Automatic", "System`Automatic"]
if not isinstance(plot_range, list) or len(plot_range) != 2:
raise BoxConstructError
evaluation = options.get("evaluation", None)
if evaluation is None:
evaluation = self.evaluation
elements = GraphicsElements(leaves[0], evaluation, neg_y)
axes = [] # to be filled further down
def calc_dimensions(final_pass=True):
"""
calc_dimensions gets called twice: In the first run
(final_pass = False, called inside _prepare_elements), the extent
of all user-defined graphics is determined.
Axes are created accordingly.
In the second run (final_pass = True, called from outside),
the dimensions of these axes are taken into account as well.
This is also important to size absolutely sized objects correctly
(e.g. values using AbsoluteThickness).
"""
# always need to compute extent if size aspect is automatic
if "System`Automatic" in plot_range or size_aspect is None:
xmin, xmax, ymin, ymax = elements.extent()
else:
xmin = xmax = ymin = ymax = None
if (final_pass and any(x for x in axes) and
plot_range != ["System`Automatic", "System`Automatic"]):
# Take into account the dimensions of axes and axes labels
# (they should be displayed completely even when a specific
# PlotRange is given).
exmin, exmax, eymin, eymax = elements.extent(
completely_visible_only=True)
else:
exmin = exmax = eymin = eymax = None
def get_range(min, max):
if max < min:
min, max = max, min
elif min == max:
if min < 0:
min, max = 2 * min, 0
elif min > 0:
min, max = 0, 2 * min
else:
min, max = -1, 1
return min, max
try:
if plot_range[0] == "System`Automatic":
if xmin is None and xmax is None:
xmin = 0
xmax = 1
elif xmin == xmax:
xmin -= 1
xmax += 1
elif isinstance(plot_range[0], list) and len(
plot_range[0]) == 2:
xmin, xmax = list(map(float, plot_range[0]))
xmin, xmax = get_range(xmin, xmax)
xmin = elements.translate((xmin, 0))[0]
xmax = elements.translate((xmax, 0))[0]
if exmin is not None and exmin < xmin:
xmin = exmin
if exmax is not None and exmax > xmax:
xmax = exmax
else:
raise BoxConstructError
if plot_range[1] == "System`Automatic":
if ymin is None and ymax is None:
ymin = 0
ymax = 1
elif ymin == ymax:
ymin -= 1
ymax += 1
elif isinstance(plot_range[1], list) and len(
plot_range[1]) == 2:
ymin, ymax = list(map(float, plot_range[1]))
ymin, ymax = get_range(ymin, ymax)
ymin = elements.translate((0, ymin))[1]
ymax = elements.translate((0, ymax))[1]
if ymin > ymax:
ymin, ymax = ymax, ymin
if eymin is not None and eymin < ymin:
ymin = eymin
if eymax is not None and eymax > ymax:
ymax = eymax
else:
raise BoxConstructError
except (ValueError, TypeError):
raise BoxConstructError
w = 0 if (xmin is None or xmax is None) else xmax - xmin
h = 0 if (ymin is None or ymax is None) else ymax - ymin
if size_aspect is None:
aspect = h / w
else:
aspect = size_aspect
height = base_height
if height is None:
height = base_width * aspect
width = height / aspect
if width > base_width:
width = base_width
height = width * aspect
height = height
width *= size_multiplier
height *= size_multiplier
return xmin, xmax, ymin, ymax, w, h, width, height
xmin, xmax, ymin, ymax, w, h, width, height = calc_dimensions(
final_pass=False)
elements.set_size(xmin, ymin, w, h, width, height)
xmin -= w * 0.02
xmax += w * 0.02
ymin -= h * 0.02
ymax += h * 0.02
axes.extend(
self.create_axes(elements, self.graphics_options, xmin, xmax, ymin,
ymax))
return elements, calc_dimensions
def _prepare_elements(self, leaves, options, max_width=None):
if not leaves:
raise BoxConstructError
self.graphics_options = self.get_option_values(leaves[1:], **options)
background = self.graphics_options["System`Background"]
if (isinstance(background, Symbol)
and background.get_name() == "System`Automatic"):
self.background_color = None
else:
self.background_color = _Color.create(background)
evaluation = options["evaluation"]
base_width, base_height, size_multiplier, size_aspect = self._get_image_size(
options, self.graphics_options, max_width)
# TODO: Handle ImageScaled[], and Scaled[]
lighting_option = self.graphics_options["System`Lighting"]
lighting = lighting_option.to_python() # can take symbols or strings
self.lighting = []
if lighting == "System`Automatic":
self.lighting = [
{
"type": "Ambient",
"color": [0.3, 0.2, 0.4]
},
{
"type": "Directional",
"color": [0.8, 0.0, 0.0],
"position": [2, 0, 2],
},
{
"type": "Directional",
"color": [0.0, 0.8, 0.0],
"position": [2, 2, 2],
},
{
"type": "Directional",
"color": [0.0, 0.0, 0.8],
"position": [0, 2, 2],
},
]
elif lighting == "Neutral": # Lighting->"Neutral"
self.lighting = [
{
"type": "Ambient",
"color": [0.3, 0.3, 0.3]
},
{
"type": "Directional",
"color": [0.3, 0.3, 0.3],
"position": [2, 0, 2],
},
{
"type": "Directional",
"color": [0.3, 0.3, 0.3],
"position": [2, 2, 2],
},
{
"type": "Directional",
"color": [0.3, 0.3, 0.3],
"position": [0, 2, 2],
},
]
elif lighting == "System`None":
pass
elif isinstance(lighting, list) and all(
isinstance(light, list) for light in lighting):
for light in lighting:
if light[0] in [
'"Ambient"', '"Directional"', '"Point"', '"Spot"'
]:
try:
head = light[1].get_head_name()
except AttributeError:
break
color = get_class(head)(light[1])
if light[0] == '"Ambient"':
self.lighting.append({
"type": "Ambient",
"color": color.to_rgba()
})
elif light[0] == '"Directional"':
position = [0, 0, 0]
if isinstance(light[2], list):
if len(light[2]) == 3:
position = light[2]
if len(light[2]) == 2 and all( # noqa
isinstance(p, list) and len(p) == 3
for p in light[2]):
position = [
light[2][0][i] - light[2][1][i]
for i in range(3)
]
self.lighting.append({
"type": "Directional",
"color": color.to_rgba(),
"position": position,
})
elif light[0] == '"Point"':
position = [0, 0, 0]
if isinstance(light[2], list) and len(light[2]) == 3:
position = light[2]
self.lighting.append({
"type": "Point",
"color": color.to_rgba(),
"position": position,
})
elif light[0] == '"Spot"':
position = [0, 0, 1]
target = [0, 0, 0]
if isinstance(light[2], list):
if len(light[2]) == 2:
if (isinstance(light[2][0], list)
and len(light[2][0]) == 3 # noqa
):
position = light[2][0]
if (isinstance(light[2][1], list)
and len(light[2][1]) == 3 # noqa
):
target = light[2][1]
if len(light[2]) == 3:
position = light[2]
angle = light[3]
self.lighting.append({
"type": "Spot",
"color": color.to_rgba(),
"position": position,
"target": target,
"angle": angle,
})
else:
evaluation.message("Graphics3D", "invlight", lighting_option)
# ViewPoint Option
viewpoint_option = self.graphics_options["System`ViewPoint"]
viewpoint = viewpoint_option.to_python(n_evaluation=evaluation)
if isinstance(viewpoint, list) and len(viewpoint) == 3:
if all(isinstance(x, numbers.Real) for x in viewpoint):
# TODO Infinite coordinates e.g. {0, 0, Infinity}
pass
else:
try:
viewpoint = {
"Above": [0, 0, 2],
"Below": [0, 0, -2],
"Front": [0, -2, 0],
"Back": [0, 2, 0],
"Left": [-2, 0, 0],
"Right": [2, 0, 0],
}[viewpoint]
except KeyError:
# evaluation.message()
# TODO
viewpoint = [1.3, -2.4, 2]
assert (isinstance(viewpoint, list) and len(viewpoint) == 3
and all(isinstance(x, numbers.Real) for x in viewpoint))
self.viewpoint = viewpoint
# TODO Aspect Ratio
# aspect_ratio = self.graphics_options['AspectRatio'].to_python()
boxratios = self.graphics_options["System`BoxRatios"].to_python()
if boxratios == "System`Automatic":
boxratios = ["System`Automatic"] * 3
else:
boxratios = boxratios
if not isinstance(boxratios, list) or len(boxratios) != 3:
raise BoxConstructError
plot_range = self.graphics_options["System`PlotRange"].to_python()
if plot_range == "System`Automatic":
plot_range = ["System`Automatic"] * 3
if not isinstance(plot_range, list) or len(plot_range) != 3:
raise BoxConstructError
elements = Graphics3DElements(leaves[0], evaluation)
def calc_dimensions(final_pass=True):
if "System`Automatic" in plot_range:
xmin, xmax, ymin, ymax, zmin, zmax = elements.extent()
else:
xmin = xmax = ymin = ymax = zmin = zmax = None
try:
if plot_range[0] == "System`Automatic":
if xmin is None and xmax is None:
xmin = 0
xmax = 1
elif xmin == xmax:
xmin -= 1
xmax += 1
elif isinstance(plot_range[0], list) and len(
plot_range[0]) == 2:
xmin, xmax = list(map(float, plot_range[0]))
xmin = elements.translate((xmin, 0, 0))[0]
xmax = elements.translate((xmax, 0, 0))[0]
else:
raise BoxConstructError
if plot_range[1] == "System`Automatic":
if ymin is None and ymax is None:
ymin = 0
ymax = 1
elif ymin == ymax:
ymin -= 1
ymax += 1
elif isinstance(plot_range[1], list) and len(
plot_range[1]) == 2:
ymin, ymax = list(map(float, plot_range[1]))
ymin = elements.translate((0, ymin, 0))[1]
ymax = elements.translate((0, ymax, 0))[1]
else:
raise BoxConstructError
if plot_range[2] == "System`Automatic":
if zmin is None and zmax is None:
zmin = 0
zmax = 1
elif zmin == zmax:
zmin -= 1
zmax += 1
elif isinstance(plot_range[1], list) and len(
plot_range[1]) == 2:
zmin, zmax = list(map(float, plot_range[2]))
zmin = elements.translate((0, 0, zmin))[2]
zmax = elements.translate((0, 0, zmax))[2]
else:
raise BoxConstructError
except (ValueError, TypeError):
raise BoxConstructError
boxscale = [1.0, 1.0, 1.0]
if boxratios[0] != "System`Automatic":
boxscale[0] = boxratios[0] / (xmax - xmin)
if boxratios[1] != "System`Automatic":
boxscale[1] = boxratios[1] / (ymax - ymin)
if boxratios[2] != "System`Automatic":
boxscale[2] = boxratios[2] / (zmax - zmin)
if final_pass:
xmin *= boxscale[0]
xmax *= boxscale[0]
ymin *= boxscale[1]
ymax *= boxscale[1]
zmin *= boxscale[2]
zmax *= boxscale[2]
# Rescale lighting
for i, light in enumerate(self.lighting):
if self.lighting[i]["type"] != "Ambient":
self.lighting[i]["position"] = [
light["position"][j] * boxscale[j]
for j in range(3)
]
if self.lighting[i]["type"] == "Spot":
self.lighting[i]["target"] = [
light["target"][j] * boxscale[j] for j in range(3)
]
# Rescale viewpoint
self.viewpoint = [
vp * max([xmax - xmin, ymax - ymin, zmax - zmin])
for vp in self.viewpoint
]
w = 0 if (xmin is None or xmax is None) else xmax - xmin
h = 0 if (ymin is None or ymax is None) else ymax - ymin
return xmin, xmax, ymin, ymax, zmin, zmax, boxscale, w, h
xmin, xmax, ymin, ymax, zmin, zmax, boxscale, w, h = calc_dimensions(
final_pass=False)
axes, ticks, ticks_style = self.create_axes(
elements,
self.graphics_options,
xmin,
xmax,
ymin,
ymax,
zmin,
zmax,
boxscale,
)
return elements, axes, ticks, ticks_style, calc_dimensions, boxscale