def get_secant_slope_group( self, x, graph, dx=None, dx_line_color=None, df_line_color=None, dx_label=None, df_label=None, include_secant_line=True, secant_line_color=None, secant_line_length=10, ): """ Resulting group is of the form VGroup( dx_line, df_line, dx_label, (if applicable) df_label, (if applicable) secant_line, (if applicable) ) with attributes of those names. """ kwargs = locals() kwargs.pop("self") group = VGroup() group.kwargs = kwargs dx = dx or float(self.x_max - self.x_min) / 10 dx_line_color = dx_line_color or self.default_input_color df_line_color = df_line_color or graph.get_color() p1 = self.input_to_graph_point(x, graph) p2 = self.input_to_graph_point(x + dx, graph) interim_point = p2[0] * RIGHT + p1[1] * UP group.dx_line = Line(p1, interim_point, color=dx_line_color) group.df_line = Line(interim_point, p2, color=df_line_color) group.add(group.dx_line, group.df_line) labels = VGroup() if dx_label is not None: group.dx_label = TexMobject(dx_label) labels.add(group.dx_label) group.add(group.dx_label) if df_label is not None: group.df_label = TexMobject(df_label) labels.add(group.df_label) group.add(group.df_label) if len(labels) > 0: max_width = 0.8 * group.dx_line.get_width() max_height = 0.8 * group.df_line.get_height() if labels.get_width() > max_width: labels.set_width(max_width) if labels.get_height() > max_height: labels.set_height(max_height) if dx_label is not None: group.dx_label.next_to(group.dx_line, np.sign(dx) * DOWN, buff=group.dx_label.get_height() / 2) group.dx_label.set_color(group.dx_line.get_color()) if df_label is not None: group.df_label.next_to(group.df_line, np.sign(dx) * RIGHT, buff=group.df_label.get_height() / 2) group.df_label.set_color(group.df_line.get_color()) if include_secant_line: secant_line_color = secant_line_color or self.default_derivative_color group.secant_line = Line(p1, p2, color=secant_line_color) group.secant_line.scale_in_place(secant_line_length / group.secant_line.get_length()) group.add(group.secant_line) return group
def get_secant_slope_group( self, x, graph, dx=None, dx_line_color=None, df_line_color=None, dx_label=None, df_label=None, include_secant_line=True, secant_line_color=None, secant_line_length=10, ): """ This method returns a VGroup of (two lines representing dx and df, the labels for dx and df, and the Secant to the Graph/curve at a particular x value. Parameters ---------- x (Union[float, int]) The x value at which the secant enters, and intersects the graph for the first time. graph (ParametricFunction) The curve/graph for which the secant must be found. dx (Union[float, int]) The change in x after which the secant exits. dx_line_color (str) The line color for the line that indicates the change in x. df_line_color (str) The line color for the line that indicates the change in y. dx_label (str) The label to be provided for the change in x. df_label (str) The label to be provided for the change in y. include_secant_line (bool=True) Whether or not to include the secant line in the graph, or just have the df and dx lines and labels. secant_line_color (str) The color of the secant line. secant_line_length (Union[float,int=10]) How long the secant line should be. Returns: -------- VGroup Resulting group is of the form VGroup( dx_line, df_line, dx_label, (if applicable) df_label, (if applicable) secant_line, (if applicable) ) with attributes of those names. """ kwargs = locals() kwargs.pop("self") group = VGroup() group.kwargs = kwargs dx = dx or float(self.x_max - self.x_min) / 10 dx_line_color = dx_line_color or self.default_input_color df_line_color = df_line_color or graph.get_color() p1 = self.input_to_graph_point(x, graph) p2 = self.input_to_graph_point(x + dx, graph) interim_point = p2[0] * RIGHT + p1[1] * UP group.dx_line = Line(p1, interim_point, color=dx_line_color) group.df_line = Line(interim_point, p2, color=df_line_color) group.add(group.dx_line, group.df_line) labels = VGroup() if dx_label is not None: group.dx_label = TexMobject(dx_label) labels.add(group.dx_label) group.add(group.dx_label) if df_label is not None: group.df_label = TexMobject(df_label) labels.add(group.df_label) group.add(group.df_label) if len(labels) > 0: max_width = 0.8 * group.dx_line.get_width() max_height = 0.8 * group.df_line.get_height() if labels.get_width() > max_width: labels.set_width(max_width) if labels.get_height() > max_height: labels.set_height(max_height) if dx_label is not None: group.dx_label.next_to(group.dx_line, np.sign(dx) * DOWN, buff=group.dx_label.get_height() / 2) group.dx_label.set_color(group.dx_line.get_color()) if df_label is not None: group.df_label.next_to(group.df_line, np.sign(dx) * RIGHT, buff=group.df_label.get_height() / 2) group.df_label.set_color(group.df_line.get_color()) if include_secant_line: secant_line_color = secant_line_color or self.default_derivative_color group.secant_line = Line(p1, p2, color=secant_line_color) group.secant_line.scale_in_place(secant_line_length / group.secant_line.get_length()) group.add(group.secant_line) return group
def get_secant_slope_group( self, x, graph, dx=None, dx_line_color=None, df_line_color=None, dx_label=None, df_label=None, include_secant_line=True, secant_line_color=None, secant_line_length=10, ): """ Resulting group is of the form VGroup( dx_line, df_line, dx_label, (if applicable) df_label, (if applicable) secant_line, (if applicable) ) with attributes of those names. """ kwargs = locals() kwargs.pop("self") group = VGroup() group.kwargs = kwargs dx = dx or float(self.x_max - self.x_min) / 10 dx_line_color = dx_line_color or self.default_input_color df_line_color = df_line_color or graph.get_color() p1 = self.input_to_graph_point(x, graph) p2 = self.input_to_graph_point(x + dx, graph) interim_point = p2[0] * RIGHT + p1[1] * UP group.dx_line = Line( p1, interim_point, color=dx_line_color ) group.df_line = Line( interim_point, p2, color=df_line_color ) group.add(group.dx_line, group.df_line) labels = VGroup() if dx_label is not None: group.dx_label = TexMobject(dx_label) labels.add(group.dx_label) group.add(group.dx_label) if df_label is not None: group.df_label = TexMobject(df_label) labels.add(group.df_label) group.add(group.df_label) if len(labels) > 0: max_width = 0.8 * group.dx_line.get_width() max_height = 0.8 * group.df_line.get_height() if labels.get_width() > max_width: labels.set_width(max_width) if labels.get_height() > max_height: labels.set_height(max_height) if dx_label is not None: group.dx_label.next_to( group.dx_line, np.sign(dx) * DOWN, buff=group.dx_label.get_height() / 2 ) group.dx_label.set_color(group.dx_line.get_color()) if df_label is not None: group.df_label.next_to( group.df_line, np.sign(dx) * RIGHT, buff=group.df_label.get_height() / 2 ) group.df_label.set_color(group.df_line.get_color()) if include_secant_line: secant_line_color = secant_line_color or self.default_derivative_color group.secant_line = Line(p1, p2, color=secant_line_color) group.secant_line.scale_in_place( secant_line_length / group.secant_line.get_length() ) group.add(group.secant_line) return group