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- import pyglet.gl as pgl
- from pyglet import font
- from sympy.core import S
- from sympy.plotting.pygletplot.plot_object import PlotObject
- from sympy.plotting.pygletplot.util import billboard_matrix, dot_product, \
- get_direction_vectors, strided_range, vec_mag, vec_sub
- from sympy.utilities.iterables import is_sequence
- class PlotAxes(PlotObject):
- def __init__(self, *args,
- style='', none=None, frame=None, box=None, ordinate=None,
- stride=0.25,
- visible='', overlay='', colored='', label_axes='', label_ticks='',
- tick_length=0.1,
- font_face='Arial', font_size=28,
- **kwargs):
- # initialize style parameter
- style = style.lower()
- # allow alias kwargs to override style kwarg
- if none is not None:
- style = 'none'
- if frame is not None:
- style = 'frame'
- if box is not None:
- style = 'box'
- if ordinate is not None:
- style = 'ordinate'
- if style in ['', 'ordinate']:
- self._render_object = PlotAxesOrdinate(self)
- elif style in ['frame', 'box']:
- self._render_object = PlotAxesFrame(self)
- elif style in ['none']:
- self._render_object = None
- else:
- raise ValueError(("Unrecognized axes style %s.") % (style))
- # initialize stride parameter
- try:
- stride = eval(stride)
- except TypeError:
- pass
- if is_sequence(stride):
- if len(stride) != 3:
- raise ValueError("length should be equal to 3")
- self._stride = stride
- else:
- self._stride = [stride, stride, stride]
- self._tick_length = float(tick_length)
- # setup bounding box and ticks
- self._origin = [0, 0, 0]
- self.reset_bounding_box()
- def flexible_boolean(input, default):
- if input in [True, False]:
- return input
- if input in ('f', 'F', 'false', 'False'):
- return False
- if input in ('t', 'T', 'true', 'True'):
- return True
- return default
- # initialize remaining parameters
- self.visible = flexible_boolean(kwargs, True)
- self._overlay = flexible_boolean(overlay, True)
- self._colored = flexible_boolean(colored, False)
- self._label_axes = flexible_boolean(label_axes, False)
- self._label_ticks = flexible_boolean(label_ticks, True)
- # setup label font
- self.font_face = font_face
- self.font_size = font_size
- # this is also used to reinit the
- # font on window close/reopen
- self.reset_resources()
- def reset_resources(self):
- self.label_font = None
- def reset_bounding_box(self):
- self._bounding_box = [[None, None], [None, None], [None, None]]
- self._axis_ticks = [[], [], []]
- def draw(self):
- if self._render_object:
- pgl.glPushAttrib(pgl.GL_ENABLE_BIT | pgl.GL_POLYGON_BIT | pgl.GL_DEPTH_BUFFER_BIT)
- if self._overlay:
- pgl.glDisable(pgl.GL_DEPTH_TEST)
- self._render_object.draw()
- pgl.glPopAttrib()
- def adjust_bounds(self, child_bounds):
- b = self._bounding_box
- c = child_bounds
- for i in range(3):
- if abs(c[i][0]) is S.Infinity or abs(c[i][1]) is S.Infinity:
- continue
- b[i][0] = c[i][0] if b[i][0] is None else min([b[i][0], c[i][0]])
- b[i][1] = c[i][1] if b[i][1] is None else max([b[i][1], c[i][1]])
- self._bounding_box = b
- self._recalculate_axis_ticks(i)
- def _recalculate_axis_ticks(self, axis):
- b = self._bounding_box
- if b[axis][0] is None or b[axis][1] is None:
- self._axis_ticks[axis] = []
- else:
- self._axis_ticks[axis] = strided_range(b[axis][0], b[axis][1],
- self._stride[axis])
- def toggle_visible(self):
- self.visible = not self.visible
- def toggle_colors(self):
- self._colored = not self._colored
- class PlotAxesBase(PlotObject):
- def __init__(self, parent_axes):
- self._p = parent_axes
- def draw(self):
- color = [([0.2, 0.1, 0.3], [0.2, 0.1, 0.3], [0.2, 0.1, 0.3]),
- ([0.9, 0.3, 0.5], [0.5, 1.0, 0.5], [0.3, 0.3, 0.9])][self._p._colored]
- self.draw_background(color)
- self.draw_axis(2, color[2])
- self.draw_axis(1, color[1])
- self.draw_axis(0, color[0])
- def draw_background(self, color):
- pass # optional
- def draw_axis(self, axis, color):
- raise NotImplementedError()
- def draw_text(self, text, position, color, scale=1.0):
- if len(color) == 3:
- color = (color[0], color[1], color[2], 1.0)
- if self._p.label_font is None:
- self._p.label_font = font.load(self._p.font_face,
- self._p.font_size,
- bold=True, italic=False)
- label = font.Text(self._p.label_font, text,
- color=color,
- valign=font.Text.BASELINE,
- halign=font.Text.CENTER)
- pgl.glPushMatrix()
- pgl.glTranslatef(*position)
- billboard_matrix()
- scale_factor = 0.005 * scale
- pgl.glScalef(scale_factor, scale_factor, scale_factor)
- pgl.glColor4f(0, 0, 0, 0)
- label.draw()
- pgl.glPopMatrix()
- def draw_line(self, v, color):
- o = self._p._origin
- pgl.glBegin(pgl.GL_LINES)
- pgl.glColor3f(*color)
- pgl.glVertex3f(v[0][0] + o[0], v[0][1] + o[1], v[0][2] + o[2])
- pgl.glVertex3f(v[1][0] + o[0], v[1][1] + o[1], v[1][2] + o[2])
- pgl.glEnd()
- class PlotAxesOrdinate(PlotAxesBase):
- def __init__(self, parent_axes):
- super().__init__(parent_axes)
- def draw_axis(self, axis, color):
- ticks = self._p._axis_ticks[axis]
- radius = self._p._tick_length / 2.0
- if len(ticks) < 2:
- return
- # calculate the vector for this axis
- axis_lines = [[0, 0, 0], [0, 0, 0]]
- axis_lines[0][axis], axis_lines[1][axis] = ticks[0], ticks[-1]
- axis_vector = vec_sub(axis_lines[1], axis_lines[0])
- # calculate angle to the z direction vector
- pos_z = get_direction_vectors()[2]
- d = abs(dot_product(axis_vector, pos_z))
- d = d / vec_mag(axis_vector)
- # don't draw labels if we're looking down the axis
- labels_visible = abs(d - 1.0) > 0.02
- # draw the ticks and labels
- for tick in ticks:
- self.draw_tick_line(axis, color, radius, tick, labels_visible)
- # draw the axis line and labels
- self.draw_axis_line(axis, color, ticks[0], ticks[-1], labels_visible)
- def draw_axis_line(self, axis, color, a_min, a_max, labels_visible):
- axis_line = [[0, 0, 0], [0, 0, 0]]
- axis_line[0][axis], axis_line[1][axis] = a_min, a_max
- self.draw_line(axis_line, color)
- if labels_visible:
- self.draw_axis_line_labels(axis, color, axis_line)
- def draw_axis_line_labels(self, axis, color, axis_line):
- if not self._p._label_axes:
- return
- axis_labels = [axis_line[0][::], axis_line[1][::]]
- axis_labels[0][axis] -= 0.3
- axis_labels[1][axis] += 0.3
- a_str = ['X', 'Y', 'Z'][axis]
- self.draw_text("-" + a_str, axis_labels[0], color)
- self.draw_text("+" + a_str, axis_labels[1], color)
- def draw_tick_line(self, axis, color, radius, tick, labels_visible):
- tick_axis = {0: 1, 1: 0, 2: 1}[axis]
- tick_line = [[0, 0, 0], [0, 0, 0]]
- tick_line[0][axis] = tick_line[1][axis] = tick
- tick_line[0][tick_axis], tick_line[1][tick_axis] = -radius, radius
- self.draw_line(tick_line, color)
- if labels_visible:
- self.draw_tick_line_label(axis, color, radius, tick)
- def draw_tick_line_label(self, axis, color, radius, tick):
- if not self._p._label_axes:
- return
- tick_label_vector = [0, 0, 0]
- tick_label_vector[axis] = tick
- tick_label_vector[{0: 1, 1: 0, 2: 1}[axis]] = [-1, 1, 1][
- axis] * radius * 3.5
- self.draw_text(str(tick), tick_label_vector, color, scale=0.5)
- class PlotAxesFrame(PlotAxesBase):
- def __init__(self, parent_axes):
- super().__init__(parent_axes)
- def draw_background(self, color):
- pass
- def draw_axis(self, axis, color):
- raise NotImplementedError()
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