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| 1 | +from manimlib.imports import * |
| 2 | + |
| 3 | +NEW_BLUE = "#68a8e1" |
| 4 | + |
| 5 | +class Thumbnail(GraphScene): |
| 6 | + CONFIG = { |
| 7 | + "y_max": 8, |
| 8 | + "y_axis_height": 5, |
| 9 | + } |
| 10 | + |
| 11 | + def construct(self): |
| 12 | + self.show_function_graph() |
| 13 | + |
| 14 | + def show_function_graph(self): |
| 15 | + self.setup_axes(animate=False) |
| 16 | + def func(x): |
| 17 | + return 0.1 * (x + 3-5) * (x - 3-5) * (x-5) + 5 |
| 18 | + |
| 19 | + def rect(x): |
| 20 | + return 2.775*(x-1.5)+3.862 |
| 21 | + recta = self.get_graph(rect,x_min=-1,x_max=5) |
| 22 | + graph = self.get_graph(func,x_min=0.2,x_max=9) |
| 23 | + graph.set_color(NEW_BLUE) |
| 24 | + input_tracker_p1 = ValueTracker(1.5) |
| 25 | + input_tracker_p2 = ValueTracker(3.5) |
| 26 | + |
| 27 | + def get_x_value(input_tracker): |
| 28 | + return input_tracker.get_value() |
| 29 | + |
| 30 | + def get_y_value(input_tracker): |
| 31 | + return graph.underlying_function(get_x_value(input_tracker)) |
| 32 | + |
| 33 | + def get_x_point(input_tracker): |
| 34 | + return self.coords_to_point(get_x_value(input_tracker), 0) |
| 35 | + |
| 36 | + def get_y_point(input_tracker): |
| 37 | + return self.coords_to_point(0, get_y_value(input_tracker)) |
| 38 | + |
| 39 | + def get_graph_point(input_tracker): |
| 40 | + return self.coords_to_point(get_x_value(input_tracker), get_y_value(input_tracker)) |
| 41 | + |
| 42 | + def get_v_line(input_tracker): |
| 43 | + return DashedLine(get_x_point(input_tracker), get_graph_point(input_tracker), stroke_width=2) |
| 44 | + |
| 45 | + def get_h_line(input_tracker): |
| 46 | + return DashedLine(get_graph_point(input_tracker), get_y_point(input_tracker), stroke_width=2) |
| 47 | + # |
| 48 | + input_triangle_p1 = RegularPolygon(n=3, start_angle=TAU / 4) |
| 49 | + output_triangle_p1 = RegularPolygon(n=3, start_angle=0) |
| 50 | + for triangle in input_triangle_p1, output_triangle_p1: |
| 51 | + triangle.set_fill(WHITE, 1) |
| 52 | + triangle.set_stroke(width=0) |
| 53 | + triangle.scale(0.1) |
| 54 | + # |
| 55 | + input_triangle_p2 = RegularPolygon(n=3, start_angle=TAU / 4) |
| 56 | + output_triangle_p2 = RegularPolygon(n=3, start_angle=0) |
| 57 | + for triangle in input_triangle_p2, output_triangle_p2: |
| 58 | + triangle.set_fill(WHITE, 1) |
| 59 | + triangle.set_stroke(width=0) |
| 60 | + triangle.scale(0.1) |
| 61 | + |
| 62 | + # |
| 63 | + x_label_p1 = TexMobject("a") |
| 64 | + output_label_p1 = TexMobject("f(a)") |
| 65 | + x_label_p2 = TexMobject("b") |
| 66 | + output_label_p2 = TexMobject("f(b)") |
| 67 | + v_line_p1 = get_v_line(input_tracker_p1) |
| 68 | + v_line_p2 = get_v_line(input_tracker_p2) |
| 69 | + h_line_p1 = get_h_line(input_tracker_p1) |
| 70 | + h_line_p2 = get_h_line(input_tracker_p2) |
| 71 | + graph_dot_p1 = Dot(color=WHITE) |
| 72 | + graph_dot_p2 = Dot(color=WHITE) |
| 73 | + |
| 74 | + # reposition mobjects |
| 75 | + x_label_p1.next_to(v_line_p1, DOWN) |
| 76 | + x_label_p2.next_to(v_line_p2, DOWN) |
| 77 | + output_label_p1.next_to(h_line_p1, LEFT) |
| 78 | + output_label_p2.next_to(h_line_p2, LEFT) |
| 79 | + input_triangle_p1.next_to(v_line_p1, DOWN, buff=0) |
| 80 | + input_triangle_p2.next_to(v_line_p2, DOWN, buff=0) |
| 81 | + output_triangle_p1.next_to(h_line_p1, LEFT, buff=0) |
| 82 | + output_triangle_p2.next_to(h_line_p2, LEFT, buff=0) |
| 83 | + graph_dot_p1.move_to(get_graph_point(input_tracker_p1)) |
| 84 | + graph_dot_p2.move_to(get_graph_point(input_tracker_p2)) |
| 85 | + |
| 86 | + |
| 87 | + # |
| 88 | + self.play( |
| 89 | + ShowCreation(graph), |
| 90 | + ) |
| 91 | + # Animacion del punto a |
| 92 | + self.add_foreground_mobject(graph_dot_p1) |
| 93 | + self.add_foreground_mobject(graph_dot_p2) |
| 94 | + self.play( |
| 95 | + DrawBorderThenFill(input_triangle_p1), |
| 96 | + Write(x_label_p1), |
| 97 | + ShowCreation(v_line_p1), |
| 98 | + GrowFromCenter(graph_dot_p1), |
| 99 | + ShowCreation(h_line_p1), |
| 100 | + Write(output_label_p1), |
| 101 | + DrawBorderThenFill(output_triangle_p1), |
| 102 | + DrawBorderThenFill(input_triangle_p2), |
| 103 | + Write(x_label_p2), |
| 104 | + ShowCreation(v_line_p2), |
| 105 | + GrowFromCenter(graph_dot_p2), |
| 106 | + ShowCreation(h_line_p2), |
| 107 | + Write(output_label_p2), |
| 108 | + DrawBorderThenFill(output_triangle_p2), |
| 109 | + run_time=0.5 |
| 110 | + ) |
| 111 | + self.add( |
| 112 | + input_triangle_p2, |
| 113 | + x_label_p2, |
| 114 | + graph_dot_p2, |
| 115 | + v_line_p2, |
| 116 | + h_line_p2, |
| 117 | + output_triangle_p2, |
| 118 | + output_label_p2, |
| 119 | + ) |
| 120 | + ################### |
| 121 | + pendiente_recta = self.get_secant_slope_group( |
| 122 | + 1.9, recta, dx = 1.4, |
| 123 | + df_label = None, |
| 124 | + dx_label = None, |
| 125 | + dx_line_color = PURPLE, |
| 126 | + df_line_color= ORANGE, |
| 127 | + ) |
| 128 | + grupo_secante = self.get_secant_slope_group( |
| 129 | + 1.5, graph, dx = 2, |
| 130 | + df_label = None, |
| 131 | + dx_label = None, |
| 132 | + dx_line_color = "#942357", |
| 133 | + df_line_color= "#3f7d5c", |
| 134 | + secant_line_color = RED, |
| 135 | + ) |
| 136 | + |
| 137 | + |
| 138 | + self.add( |
| 139 | + input_triangle_p2, |
| 140 | + graph_dot_p2, |
| 141 | + v_line_p2, |
| 142 | + h_line_p2, |
| 143 | + output_triangle_p2, |
| 144 | + ) |
| 145 | + self.play(FadeIn(grupo_secante)) |
| 146 | + |
| 147 | + kwargs = { |
| 148 | + "x_min" : 4, |
| 149 | + "x_max" : 9, |
| 150 | + "fill_opacity" : 0.75, |
| 151 | + "stroke_width" : 0.25, |
| 152 | + } |
| 153 | + self.graph=graph |
| 154 | + iteraciones=6 |
| 155 | + |
| 156 | + |
| 157 | + self.rect_list = self.get_riemann_rectangles_list( |
| 158 | + graph, iteraciones,start_color=PURPLE,end_color=ORANGE, **kwargs |
| 159 | + ) |
| 160 | + flat_rects = self.get_riemann_rectangles( |
| 161 | + self.get_graph(lambda x : 0), dx = 0.5,start_color=invert_color(PURPLE),end_color=invert_color(ORANGE),**kwargs |
| 162 | + ) |
| 163 | + rects = self.rect_list[0] |
| 164 | + self.transform_between_riemann_rects( |
| 165 | + flat_rects, rects, |
| 166 | + replace_mobject_with_target_in_scene = True, |
| 167 | + run_time=0.9 |
| 168 | + ) |
| 169 | + |
| 170 | + # adding manim |
| 171 | + picture = Group(*self.mobjects) |
| 172 | + picture.scale(0.6).to_edge(LEFT, buff=SMALL_BUFF) |
| 173 | + manim = TextMobject("Manim").set_height(1.5) \ |
| 174 | + .next_to(picture, RIGHT) \ |
| 175 | + .shift(DOWN * 0.7) |
| 176 | + self.add(manim) |
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