def __init__(self, **kwargs): super().__init__(**kwargs) body = Cube(side_length=1) for dim, scale_factor in enumerate(self.body_dimensions): body.stretch(scale_factor, dim=dim) body.set_width(self.width) body.set_fill(self.shaded_body_color, opacity=1) body.sort(lambda p: p[2]) body[-1].set_fill(self.body_color) screen_plate = body.copy() keyboard = VGroup(*[ VGroup(*[ Square(**self.key_color_kwargs) for x in range(12 - y % 2) ]).arrange(RIGHT, buff=SMALL_BUFF) for y in range(4) ]).arrange(DOWN, buff=MED_SMALL_BUFF) keyboard.stretch_to_fit_width( self.keyboard_width_to_body_width * body.get_width(), ) keyboard.stretch_to_fit_height( self.keyboard_height_to_body_height * body.get_height(), ) keyboard.next_to(body, OUT, buff=0.1 * SMALL_BUFF) keyboard.shift(MED_SMALL_BUFF * UP) body.add(keyboard) screen_plate.stretch(self.screen_thickness / self.body_dimensions[2], dim=2) screen = Rectangle( stroke_width=0, fill_color=BLACK, fill_opacity=1, ) screen.replace(screen_plate, stretch=True) screen.scale_in_place(self.screen_width_to_screen_plate_width) screen.next_to(screen_plate, OUT, buff=0.1 * SMALL_BUFF) screen_plate.add(screen) screen_plate.next_to(body, UP, buff=0) screen_plate.rotate( self.open_angle, RIGHT, about_point=screen_plate.get_bottom() ) self.screen_plate = screen_plate self.screen = screen axis = Line( body.get_corner(UP + LEFT + OUT), body.get_corner(UP + RIGHT + OUT), color=BLACK, stroke_width=2 ) self.axis = axis self.add(body, screen_plate, axis) self.rotate(5 * np.pi / 12, LEFT, about_point=ORIGIN) self.rotate(np.pi / 6, DOWN, about_point=ORIGIN)
def __init__(self, **kwargs): if not hasattr(self, "args"): self.args = serialize_args([]) if not hasattr(self, "config"): self.config = serialize_config({ **kwargs, }) super().__init__(**kwargs) body = Cube(side_length=1) for dim, scale_factor in enumerate(self.body_dimensions): body.stretch(scale_factor, dim=dim) body.set_width(self.width) body.set_fill(self.shaded_body_color, opacity=1) body.sort(lambda p: p[2]) body[-1].set_fill(self.body_color) screen_plate = body.copy() keyboard = VGroup(*[ VGroup( *[Square(**self.key_color_kwargs) for x in range(12 - y % 2)]).arrange(RIGHT, buff=SMALL_BUFF) for y in range(4) ]).arrange(DOWN, buff=MED_SMALL_BUFF) keyboard.stretch_to_fit_width( self.keyboard_width_to_body_width * body.get_width(), ) keyboard.stretch_to_fit_height( self.keyboard_height_to_body_height * body.get_height(), ) keyboard.next_to(body, OUT, buff=0.1 * SMALL_BUFF) keyboard.shift(MED_SMALL_BUFF * UP) body.add(keyboard) screen_plate.stretch(self.screen_thickness / self.body_dimensions[2], dim=2) screen = Rectangle( stroke_width=0, fill_color=BLACK, fill_opacity=1, ) screen.replace(screen_plate, stretch=True) screen.scale_in_place(self.screen_width_to_screen_plate_width) screen.next_to(screen_plate, OUT, buff=0.1 * SMALL_BUFF) screen_plate.add(screen) screen_plate.next_to(body, UP, buff=0) screen_plate.rotate(self.open_angle, RIGHT, about_point=screen_plate.get_bottom()) self.screen_plate = screen_plate self.screen = screen axis = Line(body.get_corner(UP + LEFT + OUT), body.get_corner(UP + RIGHT + OUT), color=BLACK, stroke_width=2) self.axis = axis self.add(body, screen_plate, axis) self.rotate(5 * np.pi / 12, LEFT, about_point=ORIGIN) self.rotate(np.pi / 6, DOWN, about_point=ORIGIN)
def get_riemann_rectangles( self, graph, x_min=None, x_max=None, dx=0.1, input_sample_type="left", stroke_width=1, stroke_color=BLACK, fill_opacity=1, start_color=None, end_color=None, show_signed_area=True, width_scale_factor=1.001 ): x_min = x_min if x_min is not None else self.x_min x_max = x_max if x_max is not None else self.x_max if start_color is None: start_color = self.default_riemann_start_color if end_color is None: end_color = self.default_riemann_end_color rectangles = VGroup() x_range = np.arange(x_min, x_max, dx) colors = color_gradient([start_color, end_color], len(x_range)) for x, color in zip(x_range, colors): if input_sample_type == "left": sample_input = x elif input_sample_type == "right": sample_input = x + dx elif input_sample_type == "center": sample_input = x + 0.5 * dx else: raise Exception("Invalid input sample type") graph_point = self.input_to_graph_point(sample_input, graph) points = VGroup(*list(map(VectorizedPoint, [ self.coords_to_point(x, 0), self.coords_to_point(x + width_scale_factor * dx, 0), graph_point ]))) rect = Rectangle() rect.replace(points, stretch=True) if graph_point[1] < self.graph_origin[1] and show_signed_area: fill_color = invert_color(color) else: fill_color = color rect.set_fill(fill_color, opacity=fill_opacity) rect.set_stroke(stroke_color, width=stroke_width) rectangles.add(rect) return rectangles
def get_riemann_rectangles( self, graph, x_min=None, x_max=None, dx=0.1, input_sample_type="left", stroke_width=1, stroke_color=BLACK, fill_opacity=1, start_color=None, end_color=None, show_signed_area=True, width_scale_factor=1.001 ): x_min = x_min if x_min is not None else self.x_min x_max = x_max if x_max is not None else self.x_max if start_color is None: start_color = self.default_riemann_start_color if end_color is None: end_color = self.default_riemann_end_color rectangles = VGroup() x_range = np.arange(x_min, x_max, dx) colors = color_gradient([start_color, end_color], len(x_range)) for x, color in zip(x_range, colors): if input_sample_type == "left": sample_input = x elif input_sample_type == "right": sample_input = x + dx elif input_sample_type == "center": sample_input = x + 0.5 * dx else: raise Exception("Invalid input sample type") graph_point = self.input_to_graph_point(sample_input, graph) points = VGroup(*list(map(VectorizedPoint, [ self.coords_to_point(x, 0), self.coords_to_point(x + width_scale_factor * dx, 0), graph_point ]))) rect = Rectangle() rect.replace(points, stretch=True) if graph_point[1] < self.graph_origin[1] and show_signed_area: fill_color = invert_color(color) else: fill_color = color rect.set_fill(fill_color, opacity=fill_opacity) rect.set_stroke(stroke_color, width=stroke_width) rectangles.add(rect) return rectangles
def get_riemann_rectangles(self, graph, x_min=None, x_max=None, dx=0.1, input_sample_type="left", stroke_width=1, stroke_color=BLACK, fill_opacity=1, start_color=None, end_color=None, show_signed_area=True, width_scale_factor=1.001): """ This method returns the VGroup() of the Riemann Rectangles for a particular curve. Parameters ---------- graph (ParametricFunction) The graph whose area needs to be approximated by the Riemann Rectangles. x_min Union[int,float] The lower bound from which to start adding rectangles x_max Union[int,float] The upper bound where the rectangles stop. dx Union[int,float] The smallest change in x-values that is considered significant. input_sample_type str Can be any of "left", "right" or "center stroke_width : Union[int, float] The stroke_width of the border of the rectangles. stroke_color : str The string of hex colour of the rectangle's border. fill_opacity Union[int, float] The opacity of the rectangles. start_color : str, The hex starting colour for the rectangles, this will, if end_color is a different colour, make a nice gradient. end_color : str, The hex ending colour for the rectangles, this will, if start_color is a different colour, make a nice gradient. show_signed_area : bool (True) Whether or not to indicate -ve area if curve dips below x-axis. width_scale_factor : Union[int, float] How much the width of the rectangles are scaled by when transforming. Returns ------- VGroup A VGroup containing the Riemann Rectangles. """ x_min = x_min if x_min is not None else self.x_min x_max = x_max if x_max is not None else self.x_max if start_color is None: start_color = self.default_riemann_start_color if end_color is None: end_color = self.default_riemann_end_color rectangles = VGroup() x_range = np.arange(x_min, x_max, dx) colors = color_gradient([start_color, end_color], len(x_range)) for x, color in zip(x_range, colors): if input_sample_type == "left": sample_input = x elif input_sample_type == "right": sample_input = x + dx elif input_sample_type == "center": sample_input = x + 0.5 * dx else: raise Exception("Invalid input sample type") graph_point = self.input_to_graph_point(sample_input, graph) points = VGroup(*list( map(VectorizedPoint, [ self.coords_to_point(x, 0), self.coords_to_point(x + width_scale_factor * dx, 0), graph_point ]))) rect = Rectangle() rect.replace(points, stretch=True) if graph_point[1] < self.graph_origin[1] and show_signed_area: fill_color = invert_color(color) else: fill_color = color rect.set_fill(fill_color, opacity=fill_opacity) rect.set_stroke(stroke_color, width=stroke_width) rectangles.add(rect) return rectangles