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@ -15,7 +15,7 @@ from . import GridError
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# without having to pass `cell_data` again each time?
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eps_callable_t = Callable[[numpy.ndarray, numpy.ndarray, numpy.ndarray], numpy.ndarray]
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foreground_callable_t = Callable[[numpy.ndarray, numpy.ndarray, numpy.ndarray], numpy.ndarray]
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def draw_polygons(self,
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@ -24,7 +24,7 @@ def draw_polygons(self,
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center: numpy.ndarray,
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polygons: Sequence[numpy.ndarray],
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thickness: float,
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eps: Union[Sequence[Union[float, eps_callable_t]], float, eps_callable_t],
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foreground: Union[Sequence[Union[float, foreground_callable_t]], float, foreground_callable_t],
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) -> None:
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"""
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Draw polygons on an axis-aligned plane.
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@ -37,9 +37,9 @@ def draw_polygons(self,
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(non-closed, clockwise). If Nx3, the `surface_normal` coordinate is ignored. Each
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polygon must have at least 3 vertices.
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thickness: Thickness of the layer to draw
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eps: Value to draw with ('epsilon'). Can be scalar, callable, or a list
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foreground: Value to draw with ('brush color'). Can be scalar, callable, or a list
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of any of these (1 per grid). Callable values should take an ndarray the shape of the
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grid and return an ndarray of equal shape containing the eps value at the given x, y,
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grid and return an ndarray of equal shape containing the foreground value at the given x, y,
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and z (natural, not grid coordinates).
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Raises:
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@ -66,11 +66,11 @@ def draw_polygons(self,
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raise GridError(malformed + 'must be in plane with surface normal '
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+ 'xyz'[surface_normal])
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# Broadcast eps where necessary
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if numpy.size(eps) == 1:
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eps = [eps] * len(cell_data)
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elif isinstance(eps, numpy.ndarray):
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raise GridError('ndarray not supported for eps')
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# Broadcast foreground where necessary
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if numpy.size(foreground) == 1:
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foreground = [foreground] * len(cell_data)
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elif isinstance(foreground, numpy.ndarray):
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raise GridError('ndarray not supported for foreground')
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# ## Compute sub-domain of the grid occupied by polygons
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# 1) Compute outer bounds (bd) of polygons
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@ -103,21 +103,21 @@ def draw_polygons(self,
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# iterate over grids
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for i, grid in enumerate(cell_data):
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# ## Evaluate or expand eps[i]
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if callable(eps[i]):
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# ## Evaluate or expand foreground[i]
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if callable(foreground[i]):
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# meshgrid over the (shifted) domain
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domain = [self.shifted_xyz(i)[k][bdi_min[k]:bdi_max[k]+1] for k in range(3)]
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(x0, y0, z0) = numpy.meshgrid(*domain, indexing='ij')
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# evaluate on the meshgrid
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eps_i = eps[i](x0, y0, z0)
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if not numpy.isfinite(eps_i).all():
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raise GridError(f'Non-finite values in eps[{i}]')
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elif numpy.size(eps[i]) != 1:
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raise GridError(f'Unsupported eps[{i}]: {type(eps[i])}')
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foreground_i = foreground[i](x0, y0, z0)
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if not numpy.isfinite(foreground_i).all():
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raise GridError(f'Non-finite values in foreground[{i}]')
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elif numpy.size(foreground[i]) != 1:
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raise GridError(f'Unsupported foreground[{i}]: {type(foreground[i])}')
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else:
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# eps[i] is scalar non-callable
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eps_i = eps[i]
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# foreground[i] is scalar non-callable
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foreground_i = foreground[i]
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w_xy = numpy.zeros((bdi_max - bdi_min + 1)[surface].astype(int))
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@ -185,7 +185,7 @@ def draw_polygons(self,
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# ## Modify the grid
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g_slice = (i,) + tuple(numpy.s_[bdi_min[a]:bdi_max[a] + 1] for a in range(3))
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cell_data[g_slice] = (1 - w) * cell_data[g_slice] + w * eps_i
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cell_data[g_slice] = (1 - w) * cell_data[g_slice] + w * foreground_i
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def draw_polygon(self,
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@ -194,7 +194,7 @@ def draw_polygon(self,
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center: numpy.ndarray,
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polygon: numpy.ndarray,
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thickness: float,
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eps: Union[Sequence[Union[float, eps_callable_t]], float, eps_callable_t],
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foreground: Union[Sequence[Union[float, foreground_callable_t]], float, foreground_callable_t],
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) -> None:
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"""
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Draw a polygon on an axis-aligned plane.
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@ -207,9 +207,9 @@ def draw_polygon(self,
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clockwise). If Nx3, the `surface_normal` coordinate is ignored. Must have at
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least 3 vertices.
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thickness: Thickness of the layer to draw
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eps: Value to draw with ('epsilon'). See `draw_polygons()` for details.
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foreground: Value to draw with ('brush color'). See `draw_polygons()` for details.
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"""
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self.draw_polygons(cell_data, surface_normal, center, [polygon], thickness, eps)
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self.draw_polygons(cell_data, surface_normal, center, [polygon], thickness, foreground)
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def draw_slab(self,
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@ -217,7 +217,7 @@ def draw_slab(self,
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surface_normal: int,
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center: numpy.ndarray,
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thickness: float,
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eps: Union[List[Union[float, eps_callable_t]], float, eps_callable_t],
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foreground: Union[List[Union[float, foreground_callable_t]], float, foreground_callable_t],
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) -> None:
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"""
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Draw an axis-aligned infinite slab.
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@ -227,7 +227,7 @@ def draw_slab(self,
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surface_normal: Axis normal to the plane we're drawing on. Integer in `range(3)`.
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center: `surface_normal` coordinate value at the center of the slab
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thickness: Thickness of the layer to draw
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eps: Value to draw with ('epsilon'). See `draw_polygons()` for details.
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foreground: Value to draw with ('brush color'). See `draw_polygons()` for details.
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"""
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# Turn surface_normal into its integer representation
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if surface_normal not in range(3):
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@ -259,14 +259,14 @@ def draw_slab(self,
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[xyz_max[0], xyz_min[1]],
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[xyz_min[0], xyz_min[1]]], dtype=float)
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self.draw_polygon(cell_data, surface_normal, center_shift, p, thickness, eps)
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self.draw_polygon(cell_data, surface_normal, center_shift, p, thickness, foreground)
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def draw_cuboid(self,
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cell_data: numpy.ndarray,
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center: numpy.ndarray,
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dimensions: numpy.ndarray,
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eps: Union[List[Union[float, eps_callable_t]], float, eps_callable_t],
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foreground: Union[List[Union[float, foreground_callable_t]], float, foreground_callable_t],
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) -> None:
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"""
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Draw an axis-aligned cuboid
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@ -276,14 +276,14 @@ def draw_cuboid(self,
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center: 3-element ndarray or list specifying the cuboid's center
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dimensions: 3-element list or ndarray containing the x, y, and z edge-to-edge
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sizes of the cuboid
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eps: Value to draw with ('epsilon'). See `draw_polygons()` for details.
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foreground: Value to draw with ('brush color'). See `draw_polygons()` for details.
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"""
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p = numpy.array([[-dimensions[0], +dimensions[1]],
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[+dimensions[0], +dimensions[1]],
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[+dimensions[0], -dimensions[1]],
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[-dimensions[0], -dimensions[1]]], dtype=float) / 2.0
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thickness = dimensions[2]
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self.draw_polygon(cell_data, 2, center, p, thickness, eps)
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self.draw_polygon(cell_data, 2, center, p, thickness, foreground)
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def draw_cylinder(self,
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@ -293,7 +293,7 @@ def draw_cylinder(self,
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radius: float,
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thickness: float,
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num_points: int,
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eps: Union[List[Union[float, eps_callable_t]], float, eps_callable_t],
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foreground: Union[List[Union[float, foreground_callable_t]], float, foreground_callable_t],
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) -> None:
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"""
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Draw an axis-aligned cylinder. Approximated by a num_points-gon
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@ -305,13 +305,13 @@ def draw_cylinder(self,
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radius: cylinder radius
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thickness: Thickness of the layer to draw
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num_points: The circle is approximated by a polygon with `num_points` vertices
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eps: Value to draw with ('epsilon'). See `draw_polygons()` for details.
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foreground: Value to draw with ('brush color'). See `draw_polygons()` for details.
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"""
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theta = numpy.linspace(0, 2*numpy.pi, num_points, endpoint=False)
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x = radius * numpy.sin(theta)
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y = radius * numpy.cos(theta)
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polygon = numpy.hstack((x[:, None], y[:, None]))
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self.draw_polygon(cell_data, surface_normal, center, polygon, thickness, eps)
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self.draw_polygon(cell_data, surface_normal, center, polygon, thickness, foreground)
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def draw_extrude_rectangle(self,
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@ -351,7 +351,7 @@ def draw_extrude_rectangle(self,
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numpy.array([-1, 1, 1, -1], dtype=float) * dim[1]/2.0)).T
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thickness = distance
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eps_func = []
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foreground_func = []
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for i, grid in enumerate(cell_data):
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z = self.pos2ind(rectangle[0, :], i, round_ind=False, check_bounds=False)[direction]
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@ -360,19 +360,19 @@ def draw_extrude_rectangle(self,
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fpart = z - numpy.floor(z)
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mult = [1-fpart, fpart][::s] # reverses if s negative
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eps = mult[0] * grid[tuple(ind)]
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foreground = mult[0] * grid[tuple(ind)]
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ind[direction] += 1
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eps += mult[1] * grid[tuple(ind)]
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foreground += mult[1] * grid[tuple(ind)]
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def f_eps(xs, ys, zs, i=i, eps=eps) -> numpy.ndarray:
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def f_foreground(xs, ys, zs, i=i, foreground=foreground) -> numpy.ndarray:
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# transform from natural position to index
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xyzi = numpy.array([self.pos2ind(qrs, which_shifts=i)
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for qrs in zip(xs.flat, ys.flat, zs.flat)], dtype=int)
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# reshape to original shape and keep only in-plane components
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qi, ri = (numpy.reshape(xyzi[:, k], xs.shape) for k in surface)
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return eps[qi, ri]
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return foreground[qi, ri]
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eps_func.append(f_eps)
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foreground_func.append(f_foreground)
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self.draw_polygon(cell_data, direction, center, p, thickness, eps_func)
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self.draw_polygon(cell_data, direction, center, p, thickness, foreground_func)
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