From f2436ee44aa0b4f7dfc892543b6cf9e3397d4e0b Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Alexander=20Neuh=C3=A4user?= Date: Wed, 5 Feb 2025 00:16:26 +0100 Subject: [PATCH] animation --- main.py | 422 +++++++++++++++++++++++++++++++++++++++--------------- manim.cfg | 4 +- 2 files changed, 312 insertions(+), 114 deletions(-) diff --git a/main.py b/main.py index 87cd819..1b53f7d 100644 --- a/main.py +++ b/main.py @@ -1,147 +1,345 @@ from manim import * +shift_pos = LEFT * config.frame_width / 4 +graph_pos = RIGHT*3 + UP *2 +graph_pos_left = graph_pos + LEFT*2 +text_pos_1 = (1.5, 3,0) +text_pos_2 = (3.0, 3,0) +start_size=config.frame_width / 2.5 +start_rad = 0.3 +l1_color = PURPLE +l2_color = LIGHT_PINK +l3_color = RED +l4_color = YELLOW +l5_color = PINK + + class DefaultTemplate(ThreeDScene): def construct(self): - shift_pos = (-3,0,0) - graph_pos = (4.5,3,0) - start_size=7 - top = Square(color=BLUE, side_length=start_size) + plus = Text("+") + plus.move_to(text_pos_1).shift(((text_pos_2[0]-text_pos_1[0])/2,0,0)) + + equal = Text("=") + equal.move_to(text_pos_1).shift(((text_pos_2[0]-text_pos_1[0])*1.5,0,0)) + + top = Square(color=WHITE, side_length=start_size) top.shift(shift_pos) - def entity(point,color, runtime=1): - dot = Dot(color=color) - lable = Text(f"{point[:2]}",font_size=25,color=color) - group = VGroup(dot,lable) - group.shift(shift_pos) - group[1].shift(tuple(x+0.35 for x in point)) - if runtime>0: - self.play(Create(group[0]), run_time=runtime) - self.play(group[0].animate.shift(point), run_time=runtime) - else: - group[0].shift(point) - self.add(group[0][0]) - return group + l1 = Square(color=l1_color, side_length=start_size, grid_xstep=start_size/2, grid_ystep=start_size/2) + l1.set_z_index(-1) + l1.shift(shift_pos) + def create_node(color,kg, destination, radius=start_rad): + node = Circle(color=color, radius=radius) + node.move_to(destination) + t = Text(str(kg), font_size=(25*1/start_rad)*radius) + t.move_to(node) + node = VGroup(node, t) + return node + def animate_dot_2_node(dot, node): + new_node = dot.copy() + self.play(Transform(new_node,node)) + return new_node + + def add_2_nodes(n1,n2, s, write=True,scale=1,color=GREEN): + self.play(n1.animate.move_to(text_pos_1)) + if write: + self.play(Write(plus)) + self.play(n2.animate.move_to(text_pos_2)) + if write: + self.play(Write(equal)) + + result = create_node(color, s, equal) + result.shift(((text_pos_2[0]-text_pos_1[0])/2,0,0)) + result.scale(scale) + self.play(Create(result)) + return result + + def get_sub(root, rad=0.75,start=-2): + slots = VGroup() + for i in range(start,2): + if start != -2 and i == start: + sub = create_node(GRAY_D, "...", root) + else: + sub = create_node(GRAY_D,i+2, root) + sub.scale(rad) + sub.shift(((i+0.5)*rad,-1,0)) + slots.add(sub) + return slots + + def get_square_text(div=1,offset_x=0,offset_y=0): + slots = VGroup() + i= 0 + for y in [1,-1]: + for x in [-1, 1]: + text = Text(text=str(i),font_size=int(50/div)) + text.move_to(l1) + text.shift((x*start_size/4/div +offset_x,y*start_size/4/div+offset_y,0)) + slots.add(text) + i+=1 + return slots + + def hide_text(): + self.play(Unwrite(plus), Unwrite(equal)) self.play(Create(top)) #self.wait(1) - p1 = entity((1,2,1), BLUE_C) - self.play(Write(p1[1])) - #self.wait(1) - self.play(FadeOut(p1[1])) - - t = Text("5kg", font_size=6) - t.move_to(p1[0]) - p1_graph = VGroup(p1[0].copy(), t) - self.add(p1_graph) - - p1.color = GRAY + p1 = self.add_particle((1,2,0), BLUE_C) + p1_node = create_node(BLUE,5, graph_pos) #self.wait(10) - self.play(p1_graph.animate.scale(4).move_to(graph_pos)) + p1_node = animate_dot_2_node(p1,p1_node) + self.play(p1.animate.set_color(GRAY)) - p2 = entity((-2,1,1), BLUE_C,0.5) - self.play(Write(p2[1])) - #self.wait(1) - self.play(FadeOut(p2[1])) + p2 =self.add_particle((-2,1,0), BLUE_C,0.5, False) - l1 = Square(color=GREEN, side_length=start_size, grid_xstep=start_size/2, grid_ystep=start_size/2) - l1.set_z_index(-1) - l1.shift(shift_pos) + p2_node = create_node(BLUE,1, graph_pos_left) + p2_node = animate_dot_2_node(p2,p2_node) + + root_1 = add_2_nodes(p1_node,p2_node, 6,color=l1_color) + + self.play(root_1.animate.move_to(graph_pos)) + sub_nodes_r1 = get_sub(root_1) + sub_text_r1 = get_square_text() + self.play(Create(l1)) + + for i, n in enumerate(sub_nodes_r1): + arrow = Arrow(start=root_1.get_center(), end=n.get_center(), color=BLUE) + new = root_1.copy() + self.play(Write(sub_text_r1[i]),Transform(new,VGroup(n,arrow))) + sub_nodes_r1[i] = new - numbs_grid = VGroup() + for i, n in enumerate(sub_text_r1): + self.play(n.animate.set_color(GRAY_D),l1.animate.set_stroke(opacity=0.5),run_time=0.2) - root_1 = p1_graph.copy() - root_1[0].color = GREEN + self.play(p2_node.animate.scale(0.75),p1_node.animate.scale(0.75)) + self.play(p1_node.animate.move_to(sub_nodes_r1[1][0]),FadeOut(sub_nodes_r1[1][0])) + self.play(p2_node.animate.move_to(sub_nodes_r1[0][0]),FadeOut(sub_nodes_r1[0][0])) + self.play(p2.animate.set_color(GRAY)) - slots = VGroup() - for i in range(-2,2): - slot_text = VGroup() - slot = root_1[0].copy() - slot.color = GRAY_D - slot.shift((i+0.5,-1,0)) - slot_text.add(slot) - slot_text.add(Text(str(i+3), color=GRAY_C,font_size=20).move_to(slot)) - slots.add(slot_text) - - root_1_1 = p1_graph.copy() - self.play(Transform(root_1_1,root_1), p1_graph.animate.shift((-1.5,0,0))) + p3 =self.add_particle((1,1,0), BLUE_C,0, False) + p3_node = create_node(BLUE,8, graph_pos_left) + p3_node = animate_dot_2_node(p3,p3_node) + root_1_1 = add_2_nodes(p3_node,root_1, 14, False, color=l1_color) + self.play(root_1_1.animate.move_to(graph_pos)) + self.play(FadeOut(root_1)) root_1 = root_1_1 + root_2 = add_2_nodes(p3_node,p1_node, 13, False, 0.75, l2_color) - i = 1 - square_numbers = VGroup() - for y in [1,-1]: - for x in [-1, 1]: - text = Text(text=str(i)) + self.play(root_2.animate.move_to(sub_nodes_r1[1][0])) - text.move_to(l1) - text.shift((x*start_size/4,y*start_size/4,0)) - arrow = Arrow(start=root_1.get_center(), end=slots[i-1].get_center(), color=BLUE) - self.play(Write(text),Transform(root_1.copy(),VGroup(slots[i-1],arrow))) - square_numbers.add(text) - i+=1 - - p1_graph.set_z_index(2) - self.play(p1_graph.animate.move_to(slots[1])) - - - - t = Text("1kg", font_size=6) - t.move_to(p2[0]) - p2_graph = VGroup(p2[0].copy(), t) - self.add(p2_graph) - p2.color = GRAY - self.play(p2_graph.animate.scale(4).move_to(graph_pos).shift((-1.5,0,0))) - - plus = Text("+") - plus.move_to(graph_pos).shift((-0.75,0,0)) - t = Text("6kg", font_size=20) - t.move_to(root_1) - t.set_z_index(3) - self.play(Write(plus)) - self.play(Transform(root_1[1], t)) - - self.play(p2_graph.animate.move_to(slots[0]), Unwrite(plus), Unwrite(square_numbers)) - - - p3 = entity((1,1,1), BLUE_C,0) - self.play(Write(p3[1])) - #self.wait(1) - self.play(FadeOut(p3[1])) - - l2 = Square(color=ORANGE, side_length=start_size/2, grid_xstep=start_size/4, grid_ystep=start_size/4) + l2 = Square(color=l2_color, side_length=start_size/2, grid_xstep=start_size/4, grid_ystep=start_size/4) l2.shift((start_size/4,start_size/4,0)) l2.set_z_index(-2) l2.shift(shift_pos) - self.play(Create(l2)) - self.wait(3) + sub_nodes_r2 = get_sub(root_2, 0.75*0.75) + sub_text_r2 = get_square_text(2, start_size/4,start_size/4) + for i, n in enumerate(sub_nodes_r2): + arrow = Arrow(start=root_2.get_center(), end=n.get_center(), color=BLUE) + new = root_2.copy() + self.play(Write(sub_text_r2[i]),Transform(new,VGroup(n,arrow))) + sub_nodes_r2[i] = new - t = Text("8kg", font_size=6) - t.move_to(p3[0]) - p3_graph = VGroup(p3[0].copy(), t) - p3.color = GRAY - self.play(p3_graph.animate.scale(4).move_to(graph_pos).shift((-1.5,0,0))) + for i, n in enumerate(sub_text_r2): + self.play(n.animate.set_color(GRAY_D),l2.animate.set_stroke(opacity=0.5),run_time=0.2) + + self.play(p1_node.animate.scale(0.75),p3_node.animate.scale(0.75*0.75)) + self.play(p1_node.animate.move_to(sub_nodes_r2[0][0]),FadeOut(sub_nodes_r2[0][0])) + self.play(p3_node.animate.move_to(sub_nodes_r2[2][0]),FadeOut(sub_nodes_r2[2][0])) + self.play(p3.animate.set_color(GRAY)) - t = Text("14kg", font_size=20) - t.move_to(root_1) - t.set_z_index(3) + p4 =self.add_particle((2,-1.8,0), BLUE_C,0, False) + p4_node = create_node(BLUE,42, graph_pos_left) + p4_node = animate_dot_2_node(p4,p4_node) + root_1_1 = add_2_nodes(p4_node,root_1, 56, False, color=l1_color) + self.play(root_1_1.animate.move_to(graph_pos)) + self.play(FadeOut(root_1)) + root_1 = root_1_1 + self.play(p4_node.animate.scale(0.75), p4.animate.set_color(GRAY)) + self.play(p4_node.animate.move_to(sub_nodes_r1[3][0]),FadeOut(sub_nodes_r1[3][0])) - self.play(Write(plus)) - self.play(Transform(root_1[1], t)) + #P5 + p5 =self.add_particle((2.5,-2.3,0), BLUE_C,0, False) + p5_node = create_node(BLUE,2, graph_pos_left) + p5_node = animate_dot_2_node(p5,p5_node) + root_1_1 = add_2_nodes(p5_node,root_1, 58, False, color=l1_color) + self.play(root_1_1.animate.move_to(graph_pos)) + self.play(FadeOut(root_1)) + root_1 = root_1_1 - self.play(p3_graph.animate.move_to(p2_graph).shift((-1.5,0,0))) + root_2_4 = add_2_nodes(p5_node,p4_node, 44, False,0.75, color=l2_color) + self.play(root_2_4.animate.move_to(sub_nodes_r1[3][0])) - plus_2 = Text("+") - plus_2.move_to(p2_graph).shift((-0.75,0,0)) - self.play(Write(plus_2)) + l3 = Square(color=l2_color, side_length=start_size/2, grid_xstep=start_size/4, grid_ystep=start_size/4) + l3.shift((start_size/4,-start_size/4,0)) + l3.set_z_index(-2) + l3.shift(shift_pos) + self.play(Create(l3)) + sub_nodes_r24 = get_sub(root_2_4, 0.75,0) + sub_text_r24 = get_square_text(2, start_size/4,-start_size/4) - root_2 = p1_graph.copy() - root_2[0].color = ORANGE + for n in sub_text_r24: + self.play(Write(n)) - self.play(Transform(VGroup(plus_2,p1_graph), root_2)) - \ No newline at end of file + for i, n in enumerate(sub_nodes_r24): + arrow = Arrow(start=root_2_4.get_center(), end=n.get_center(), color=BLUE) + new = root_2_4.copy() + self.play(Transform(new,VGroup(n,arrow))) + sub_nodes_r24[i] = new + + self.play(p4_node.animate.move_to(sub_nodes_r24[1][0]),FadeOut(sub_nodes_r24[1][0])) + self.play(p4_node.animate.scale(0.75),l3.animate.set_stroke(opacity=0.5)) + + #l4 + l4 = Square(color=l3_color, side_length=start_size/4, grid_xstep=start_size/8, grid_ystep=start_size/8) + l4.shift(((start_size/4) *1.5,(-start_size/4) *1.5,0)) + l4.set_z_index(-3) + l4.shift(shift_pos) + self.play(Create(l4)) + + root_3 = add_2_nodes(p5_node,p4_node, 44, False, 0.75**2,l3_color) + self.play(root_3.animate.move_to(sub_nodes_r24[1][0])) + + sub_nodes_r3 = get_sub(root_3, 0.75**3) + + for i, n in enumerate(sub_nodes_r3): + arrow = Arrow(start=root_3.get_center(), end=n.get_center(), color=BLUE) + new = root_3.copy() + self.play(Transform(new,VGroup(n,arrow))) + sub_nodes_r3[i] = new + + self.play(p5_node.animate.scale(0.75**3),p4_node.animate.scale(0.75), run_time=0.3) + self.play(p4_node.animate.move_to(sub_nodes_r3[0][0]),FadeOut(sub_nodes_r3[0][0])) + self.play(p5_node.animate.move_to(sub_nodes_r3[3][0]),FadeOut(sub_nodes_r3[3][0])) + + hide_text() + + graph = VGroup(p1_node,p2_node,p3_node,p4_node,p5_node,root_1,root_2,root_2_4,root_3,sub_nodes_r1,sub_nodes_r2,sub_nodes_r24,sub_nodes_r3,sub_text_r1,sub_text_r2,sub_text_r24) + self.play(FadeOut(graph),p5.animate.set_color(GRAY)) + + v = self.add_particles_and_squares() + + diagram = VGroup(v, top, p1, p2, p3, p4, p5, l1, l2, l3, l4) + + + self.begin_ambient_camera_rotation(90*DEGREES/3, about='phi') + + self.play(diagram.animate.move_to((0,0,0)),run_time=2.5) + + self.stop_ambient_camera_rotation(about='phi') + + self.begin_ambient_camera_rotation(360*DEGREES/10.5, about='theta') + self.play(l1.animate.set_stroke(opacity=1),l3.animate.set_stroke(opacity=1), + l2.animate.set_stroke(opacity=1),run_time=0.3) + self.play(top.animate.shift((0,0,2)),l1.animate.shift((0,0,0)), + l2.animate.shift((0,0,0)),l3.animate.shift((0,0,0)),l4.animate.shift((0,0,-1)), + p4.animate.shift((0,0,-2)),p5.animate.shift((0,0,-1)),p2.animate.shift((0,0,-2)) + ,p1.animate.shift((0,0,-3)) + ,*[x.animate.shift((0,0,0)) for x in v[0]] + ,*[x.animate.shift((0,0,-1)) for x in v[1]], + *[x.animate.shift((0,0,-2)) for x in v[2]], + *[x.animate.shift((0,0,-3)) for x in v[3]],run_time= 3) + self.wait(2.5) + + self.wait(2.5) + #Undo Movement + self.play(top.animate.shift((0,0,-2)),l1.animate.shift((0,0,0)), + l2.animate.shift((0,0,0)),l3.animate.shift((0,0,0)),l4.animate.shift((0,0,1)), + p4.animate.shift((0,0,2)),p5.animate.shift((0,0,1)),p2.animate.shift((0,0,2)) + ,p1.animate.shift((0,0,3)) + ,*[x.animate.shift((0,0,0)) for x in v[0]] + ,*[x.animate.shift((0,0,1)) for x in v[1]], + *[x.animate.shift((0,0,2)) for x in v[2]], + *[x.animate.shift((0,0,3)) for x in v[3]],run_time= 2.5) + self.stop_ambient_camera_rotation(about='theta') + + self.begin_ambient_camera_rotation(-90*DEGREES/3, about='phi') + self.play(diagram.animate.move_to(shift_pos),run_time=2.5) + self.stop_ambient_camera_rotation(about='phi') + self.wait(4) + + return + + def create_square(self,color, size, shift_pos, z_index, shift_values): + square = Square(color=color, side_length=size, grid_xstep=size/2, grid_ystep=size/2) + square.shift(shift_values) + square.set_z_index(z_index) + square.shift(shift_pos) + self.play(Create(square)) + return square + + def add_particles_and_squares(self): + t = 0.2 + p6 =self.add_particle((-2.7, -2.7, 0), GRAY, t, False) + p7 =self.add_particle((-2.1, -1.1, 0), GRAY, t, False) + l7 = self.create_square(l2_color, start_size / 2, shift_pos, -2, (-start_size / 4, -start_size / 4, 0)) + + p8 =self.add_particle((1.1, 2.7, 0), GRAY, t, False) + l8 = self.create_square(l3_color, start_size / 4, shift_pos, -3, ((start_size / 4) * 0.5, (start_size / 4) * 1.5, 0)) + + p9 =self.add_particle((1.67, 1.24, 0), GRAY, t, False) + p11 =self.add_particle((-0.92, 2.12, 0), GRAY, t, False) + l10 = self.create_square(l2_color, start_size / 2, shift_pos, -2, (-start_size / 4, start_size / 4, 0)) + + p12 =self.add_particle((1.13, -1.45, 0), GRAY, t, False) + p13 =self.add_particle((-2.48, 0.58, 0), GRAY, t, False) + l12 = self.create_square(l3_color, start_size / 4, shift_pos, -3, (-(start_size / 4) * 1.5, (start_size / 4) * 0.5, 0)) + + + p14 =self.add_particle((0.62, -2.14, 0), GRAY, t, False) + p15 =self.add_particle((2.35, -1.78, 0), GRAY, t, False) + p16 =self.add_particle((-1.61, 0.91, 0), GRAY, t, False) + l16 = self.create_square(l4_color, start_size / 8, shift_pos, -4, (-(start_size / 4) * 1.25, (start_size / 4) * 0.75, 0)) + + p17 =self.add_particle((-2.35, -0.98, 0), GRAY, t, False) + l17 = self.create_square(l3_color, start_size / 4, shift_pos, -3, (-(start_size / 4) * 1.5, -(start_size / 4) * 0.5, 0)) + + p18 =self.add_particle((0.84, 1.95, 0), GRAY, t, False) + l18 = self.create_square(l4_color, start_size / 8, shift_pos, -4, ((start_size / 4) * 0.75, (start_size / 4) * 1.25, 0)) + + l19 = self.create_square(l5_color, start_size / 16, shift_pos, -5, ((start_size / 4) * 0.625, (start_size / 4) * 1.375, 0)) + + p20 = self.add_particle((0.5, -0.5, 0), GRAY, t, False) + l20 = self.create_square(l3_color, start_size / 4, shift_pos, -3, ((start_size / 4) * 0.5, -(start_size / 4) * 0.5, 0)) + p21 = self.add_particle((-1.8, 1.4, 0), GRAY, t, False) + p22 = self.add_particle((1.5, -2.0, 0), GRAY, t, False) + l22 = self.create_square(l4_color, start_size / 8, shift_pos, -4, ((start_size / 4) * 1.25, -(start_size / 4) * 1.25, 0)) + p23 = self.add_particle((-0.5, -1.6, 0), GRAY, t, False) + + p24 = self.add_particle((-2.0, -2.2, 0), GRAY, t, False) + l24 = self.create_square(l3_color, start_size / 4, shift_pos, -3, (-(start_size / 4) * 1.5, -(start_size / 4) * 1.5, 0)) + + l2_g = VGroup(l7, p9, l10, p11, p14,p23) + l3_g = VGroup(p13, p7, p8, l8, p15, l12, p17, l17,p20, p12,l20,p24,p6,l24) + l4_g = VGroup(p16, l18, l16, p22,l22,p21) + l5_g = VGroup(p18, l19) + return VGroup(l2_g,l3_g,l4_g,l5_g) + + + def add_particle(self,point,color, runtime=1, write=True): + dot = Dot(color=color) + dot.move_to((shift_pos)) + lable = Text(f"{point[:2]}",font_size=25,color=color) + lable.shift(tuple(x+0.35 for x in point)) + if runtime>0: + if runtime<=0.3: + dot.shift(point) + self.play(Create(dot), run_time=runtime) + else: + self.play(Create(dot), run_time=runtime) + self.play(dot.animate.shift(point), run_time=runtime) + else: + dot.shift(point) + self.add(dot) + if write: + lable.move_to(dot) + lable.shift((0.5,0.2,0)) + self.play(Write(lable)) + #self.wait(1) + self.play(FadeOut(lable)) + return dot \ No newline at end of file diff --git a/manim.cfg b/manim.cfg index 5f6d064..33ecc1b 100644 --- a/manim.cfg +++ b/manim.cfg @@ -1,7 +1,7 @@ [CLI] frame_rate = 30 -pixel_height = 540 -pixel_width = 960 +pixel_height = 1080 +pixel_width = 1960 background_color = BLACK background_opacity = 1 scene_names = Default