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1 | 1 | Advanced Projects |
2 | 2 | ================================= |
3 | 3 |
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| 4 | +.. manim:: OpeningManimExample |
| 5 | + :quality: low |
| 6 | + |
| 7 | + class OpeningManimExample(Scene): |
| 8 | + def construct(self): |
| 9 | + title = Tex("This is some \\LaTeX") |
| 10 | + basel = MathTex("\\sum_{n=1}^\\infty " "\\frac{1}{n^2} = \\frac{\\pi^2}{6}") |
| 11 | + VGroup(title, basel).arrange(DOWN) |
| 12 | + self.play( |
| 13 | + Write(title), |
| 14 | + FadeInFrom(basel, UP), |
| 15 | + ) |
| 16 | + self.wait() |
| 17 | + |
| 18 | + transform_title = Tex("That was a transform") |
| 19 | + transform_title.to_corner(UP + LEFT) |
| 20 | + self.play( |
| 21 | + Transform(title, transform_title), |
| 22 | + LaggedStart(*map(FadeOutAndShiftDown, basel)), |
| 23 | + ) |
| 24 | + self.wait() |
| 25 | +
|
| 26 | + grid = NumberPlane() |
| 27 | + grid_title = Tex("This is a grid") |
| 28 | + grid_title.scale(1.5) |
| 29 | + grid_title.move_to(transform_title) |
| 30 | + |
| 31 | + self.add(grid, grid_title) # Make sure title is on top of grid |
| 32 | + self.play( |
| 33 | + FadeOut(title), |
| 34 | + FadeInFromDown(grid_title), |
| 35 | + ShowCreation(grid, run_time=3, lag_ratio=0.1), |
| 36 | + ) |
| 37 | + self.wait() |
| 38 | + |
| 39 | + grid_transform_title = Tex( |
| 40 | + "That was a non-linear function \\\\" "applied to the grid" |
| 41 | + ) |
| 42 | + grid_transform_title.move_to(grid_title, UL) |
| 43 | + grid.prepare_for_nonlinear_transform() |
| 44 | + self.play( |
| 45 | + grid.apply_function, |
| 46 | + lambda p: p |
| 47 | + + np.array( |
| 48 | + [ |
| 49 | + np.sin(p[1]), |
| 50 | + np.sin(p[0]), |
| 51 | + 0, |
| 52 | + ] |
| 53 | + ), |
| 54 | + run_time=3, |
| 55 | + ) |
| 56 | + self.wait() |
| 57 | + self.play(Transform(grid_title, grid_transform_title)) |
| 58 | + self.wait() |
| 59 | + |
| 60 | + |
| 61 | +.. manim:: SquareToCircle |
| 62 | + :quality: low |
| 63 | + |
| 64 | + class SquareToCircle(Scene): |
| 65 | + def construct(self): |
| 66 | + circle = Circle() |
| 67 | + square = Square() |
| 68 | + square.flip(RIGHT) |
| 69 | + square.rotate(-3 * TAU / 8) |
| 70 | + circle.set_fill(PINK, opacity=0.5) |
| 71 | + |
| 72 | + self.play(ShowCreation(square)) |
| 73 | + self.play(Transform(square, circle)) |
| 74 | + self.play(FadeOut(square)) |
| 75 | + |
| 76 | + |
| 77 | +.. manim:: WarpSquare |
| 78 | + :quality: low |
| 79 | + |
| 80 | + class WarpSquare(Scene): |
| 81 | + def construct(self): |
| 82 | + square = Square() |
| 83 | + self.play( |
| 84 | + ApplyPointwiseFunction( |
| 85 | + lambda point: complex_to_R3(np.exp(R3_to_complex(point))), square |
| 86 | + ) |
| 87 | + ) |
| 88 | + self.wait() |
| 89 | + |
| 90 | +.. manim:: WriteStuff |
| 91 | + :quality: low |
| 92 | + |
| 93 | + class WriteStuff(Scene): |
| 94 | + def construct(self): |
| 95 | + example_text = Tex("This is a some text", tex_to_color_map={"text": YELLOW}) |
| 96 | + example_tex = MathTex( |
| 97 | + "\\sum_{k=1}^\\infty {1 \\over k^2} = {\\pi^2 \\over 6}", |
| 98 | + ) |
| 99 | + group = VGroup(example_text, example_tex) |
| 100 | + group.arrange(DOWN) |
| 101 | + group.set_width(config["frame_width"] - 2 * LARGE_BUFF) |
| 102 | + |
| 103 | + self.play(Write(example_text)) |
| 104 | + self.play(Write(example_tex)) |
| 105 | + self.wait() |
| 106 | + |
| 107 | +.. manim:: UpdatersExample |
| 108 | + :quality: low |
| 109 | + |
| 110 | + class UpdatersExample(Scene): |
| 111 | + def construct(self): |
| 112 | + decimal = DecimalNumber( |
| 113 | + 0, |
| 114 | + show_ellipsis=True, |
| 115 | + num_decimal_places=3, |
| 116 | + include_sign=True, |
| 117 | + ) |
| 118 | + square = Square().to_edge(UP) |
| 119 | + |
| 120 | + decimal.add_updater(lambda d: d.next_to(square, RIGHT)) |
| 121 | + decimal.add_updater(lambda d: d.set_value(square.get_center()[1])) |
| 122 | + self.add(square, decimal) |
| 123 | + self.play( |
| 124 | + square.to_edge, |
| 125 | + DOWN, |
| 126 | + rate_func=there_and_back, |
| 127 | + run_time=5, |
| 128 | + ) |
| 129 | + self.wait() |
| 130 | + |
| 131 | + |
| 132 | +.. manim:: VDictExample |
| 133 | + :quality: low |
| 134 | + |
| 135 | + class VDictExample(Scene): |
| 136 | + def construct(self): |
| 137 | + square = Square().set_color(RED) |
| 138 | + circle = Circle().set_color(YELLOW).next_to(square, UP) |
| 139 | + |
| 140 | + # create dict from list of tuples each having key-mobject pair |
| 141 | + pairs = [("s", square), ("c", circle)] |
| 142 | + my_dict = VDict(pairs, show_keys=True) |
| 143 | + |
| 144 | + # display it just like a VGroup |
| 145 | + self.play(ShowCreation(my_dict)) |
| 146 | + self.wait() |
| 147 | + |
| 148 | + text = Tex("Some text").set_color(GREEN).next_to(square, DOWN) |
| 149 | + |
| 150 | + # add a key-value pair by wrapping it in a single-element list of tuple |
| 151 | + # after attrs branch is merged, it will be easier like `.add(t=text)` |
| 152 | + my_dict.add([("t", text)]) |
| 153 | + self.wait() |
| 154 | + |
| 155 | + rect = Rectangle().next_to(text, DOWN) |
| 156 | + # can also do key assignment like a python dict |
| 157 | + my_dict["r"] = rect |
| 158 | + |
| 159 | + # access submobjects like a python dict |
| 160 | + my_dict["t"].set_color(PURPLE) |
| 161 | + self.play(my_dict["t"].scale, 3) |
| 162 | + self.wait() |
| 163 | + |
| 164 | + # also supports python dict styled reassignment |
| 165 | + my_dict["t"] = Tex("Some other text").set_color(BLUE) |
| 166 | + self.wait() |
| 167 | + |
| 168 | + # remove submoject by key |
| 169 | + my_dict.remove("t") |
| 170 | + self.wait() |
| 171 | + |
| 172 | + self.play(Uncreate(my_dict["s"])) |
| 173 | + self.wait() |
| 174 | + |
| 175 | + self.play(FadeOut(my_dict["c"])) |
| 176 | + self.wait() |
| 177 | + |
| 178 | + self.play(FadeOutAndShift(my_dict["r"], DOWN)) |
| 179 | + self.wait() |
| 180 | + |
| 181 | + # you can also make a VDict from an existing dict of mobjects |
| 182 | + plain_dict = { |
| 183 | + 1: Integer(1).shift(DOWN), |
| 184 | + 2: Integer(2).shift(2 * DOWN), |
| 185 | + 3: Integer(3).shift(3 * DOWN), |
| 186 | + } |
| 187 | + |
| 188 | + vdict_from_plain_dict = VDict(plain_dict) |
| 189 | + vdict_from_plain_dict.shift(1.5 * (UP + LEFT)) |
| 190 | + self.play(ShowCreation(vdict_from_plain_dict)) |
| 191 | + |
| 192 | + # you can even use zip |
| 193 | + vdict_using_zip = VDict(zip(["s", "c", "r"], [Square(), Circle(), Rectangle()])) |
| 194 | + vdict_using_zip.shift(1.5 * RIGHT) |
| 195 | + self.play(ShowCreation(vdict_using_zip)) |
| 196 | + self.wait() |
| 197 | + |
| 198 | + |
| 199 | +.. manim:: VariableExample |
| 200 | + :quality: low |
| 201 | + |
| 202 | + class VariableExample(Scene): |
| 203 | + def construct(self): |
| 204 | + var = 0.5 |
| 205 | + on_screen_var = Variable(var, Text("var"), num_decimal_places=3) |
| 206 | + |
| 207 | + # You can also change the colours for the label and value |
| 208 | + on_screen_var.label.set_color(RED) |
| 209 | + on_screen_var.value.set_color(GREEN) |
| 210 | + |
| 211 | + self.play(Write(on_screen_var)) |
| 212 | + # The above line will just display the variable with |
| 213 | + # its initial value on the screen. If you also wish to |
| 214 | + # update it, you can do so by accessing the `tracker` attribute |
| 215 | + self.wait() |
| 216 | + var_tracker = on_screen_var.tracker |
| 217 | + var = 10.5 |
| 218 | + self.play(var_tracker.set_value, var) |
| 219 | + self.wait() |
| 220 | + |
| 221 | + int_var = 0 |
| 222 | + on_screen_int_var = Variable( |
| 223 | + int_var, Text("int_var"), var_type=Integer |
| 224 | + ).next_to(on_screen_var, DOWN) |
| 225 | + on_screen_int_var.label.set_color(RED) |
| 226 | + on_screen_int_var.value.set_color(GREEN) |
| 227 | + |
| 228 | + self.play(Write(on_screen_int_var)) |
| 229 | + self.wait() |
| 230 | + var_tracker = on_screen_int_var.tracker |
| 231 | + var = 10.5 |
| 232 | + self.play(var_tracker.set_value, var) |
| 233 | + self.wait() |
| 234 | + |
| 235 | + # If you wish to have a somewhat more complicated label for your |
| 236 | + # variable with subscripts, superscripts, etc. the default class |
| 237 | + # for the label is MathTex |
| 238 | + subscript_label_var = 10 |
| 239 | + on_screen_subscript_var = Variable(subscript_label_var, "{a}_{i}").next_to( |
| 240 | + on_screen_int_var, DOWN |
| 241 | + ) |
| 242 | + self.play(Write(on_screen_subscript_var)) |
| 243 | + self.wait() |
| 244 | + |
4 | 245 | .. manim:: ExampleSineCurve |
5 | 246 |
|
6 | 247 | class ExampleSineCurve(Scene): |
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