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Merge pull request #217 from 3b1b/eop
More functionality for GraphScene
This commit is contained in:
Grant Sanderson
@ -1,243 +0,0 @@
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from big_ol_pile_of_manim_imports import *
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from eop.pascal import *
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WIDTH = 12
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HEIGHT = 1
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GRADE_COLOR_1 = COLOR_HEADS = RED
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GRADE_COLOR_2 = COLOR_TAILS = BLUE
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NB_ROWS = 6
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class Coin(Circle):
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CONFIG = {
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"radius": 0.2,
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"stroke_width": 3,
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"stroke_color": WHITE,
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"fill_opacity": 1,
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"symbol": "\euro",
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}
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def __init__(self, **kwargs):
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Circle.__init__(self,**kwargs)
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self.symbol_mob = TextMobject(self.symbol, stroke_color = self.stroke_color)
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self.symbol_mob.scale_to_fit_height(0.5*self.get_height()).move_to(self)
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self.add(self.symbol_mob)
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class Heads(Coin):
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CONFIG = {
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"fill_color": COLOR_HEADS,
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"symbol": "H",
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}
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class Tails(Coin):
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CONFIG = {
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"fill_color": COLOR_TAILS,
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"symbol": "T",
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}
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class CoinStack(VGroup):
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CONFIG = {
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"spacing": 0.1,
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"size": 5,
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"face": Heads,
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}
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def generate_points(self):
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for n in range(self.size):
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coin = self.face()
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coin.shift(n * self.spacing * RIGHT)
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self.add(coin)
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class HeadsStack(CoinStack):
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CONFIG = { "face": Heads }
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class TailsStack(CoinStack):
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CONFIG = { "face": Tails }
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class TallyStack(VGroup):
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def __init__(self,h,t,**kwargs):
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self.nb_heads = h
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self.nb_tails = t
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VGroup.__init__(self,**kwargs)
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def generate_points(self):
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stack1 = HeadsStack(size = self.nb_heads)
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stack2 = TailsStack(size = self.nb_tails)
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stack2.next_to(stack1, RIGHT, buff = SMALL_BUFF)
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self.add(stack1, stack2)
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class AreaSplittingScene(Scene):
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def create_rect_row(self,n):
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rects_group = VGroup()
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for k in range(n+1):
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proportion = float(choose(n,k)) / 2**n
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new_rect = Rectangle(
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width = proportion * WIDTH,
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height = HEIGHT,
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fill_color = graded_color(n,k),
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fill_opacity = 1
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)
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new_rect.next_to(rects_group,RIGHT,buff = 0)
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rects_group.add(new_rect)
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return rects_group
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def split_rect_row(self,rect_row):
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split_row = VGroup()
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for rect in rect_row.submobjects:
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half = rect.copy().stretch_in_place(0.5,0)
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left_half = half.next_to(rect.get_center(),LEFT,buff = 0)
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right_half = half.copy().next_to(rect.get_center(),RIGHT,buff = 0)
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split_row.add(left_half, right_half)
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return split_row
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def rect_center(self,n,i,j):
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if n < 0:
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raise Exception("wrong indices " + str(n) + ", " + str(i) + ", " + str(j))
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if i < 0 or i > n:
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raise Exception("wrong indices " + str(n) + ", " + str(i) + ", " + str(j))
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if j > choose(n,i) or j < 0:
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raise Exception("wrong indices " + str(n) + ", " + str(i) + ", " + str(j))
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rect = self.brick_array[n][i]
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width = rect.get_width()
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left_x = rect.get_center()[0] - width/2
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spacing = width / choose(n,i)
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x = left_x + (j+0.5) * spacing
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return np.array([x,rect.get_center()[1], rect.get_center()[2]])
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def construct(self):
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# Draw the bricks
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brick_wall = VGroup()
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rect_row = self.create_rect_row(0)
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rect_row.move_to(3.5*UP + 0*HEIGHT*DOWN)
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self.add(rect_row)
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brick_wall.add(rect_row)
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self.brick_array = [[rect_row.submobjects[0]]]
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for n in range(NB_ROWS):
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# copy and shift
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new_rect_row = rect_row.copy()
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self.add(new_rect_row)
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self.play(new_rect_row.shift,HEIGHT * DOWN)
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self.wait()
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#split
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split_row = self.split_rect_row(new_rect_row)
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self.play(FadeIn(split_row))
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self.remove(new_rect_row)
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self.wait()
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# merge
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rect_row = self.create_rect_row(n+1)
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rect_row.move_to(3.5*UP + (n+1)*HEIGHT*DOWN)
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self.play(FadeIn(rect_row))
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brick_wall.add(rect_row)
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self.remove(split_row)
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self.wait()
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# add to brick dict
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rect_array = []
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for rect in rect_row.submobjects:
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rect_array.append(rect)
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self.brick_array.append(rect_array)
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self.play(
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brick_wall.set_fill, {"opacity" : 0.2}
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)
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# Draw the branches
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for (n, rect_row_array) in enumerate(self.brick_array):
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for (i, rect) in enumerate(rect_row_array):
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pos = rect.get_center()
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tally = TallyStack(n - i, i)
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tally.move_to(pos)
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# from the left
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lines = VGroup()
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if i > 0:
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for j in range(choose(n-1,i-1)):
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start_pos = self.rect_center(n-1,i-1,j)
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end_pos = self.rect_center(n,i,j)
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lines.add(Line(start_pos,end_pos, stroke_color = GRADE_COLOR_2))
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self.play(
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LaggedStart(ShowCreation, lines))
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# from the right
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lines = VGroup()
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if i < n:
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for j in range(choose(n-1,i)):
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start_pos = self.rect_center(n-1,i,j)
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if i != 0:
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end_pos = self.rect_center(n,i,choose(n-1,i-1) + j)
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else:
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end_pos = self.rect_center(n,i,j)
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lines.add(Line(start_pos,end_pos, stroke_color = GRADE_COLOR_1))
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self.play(
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LaggedStart(ShowCreation, lines))
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#self.play(FadeIn(tally))
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self.wait()
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File diff suppressed because it is too large
Load Diff
@ -18,7 +18,11 @@ class Histogram(VMobject):
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"y_scale" : 1.0,
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"x_labels" : "auto", # widths, mids, auto, none, [...]
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"y_labels" : "auto", # auto, none, [...]
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"x_min" : 0
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"y_label_position" : "top", # "center"
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"x_min" : 0,
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"bar_stroke_width" : 5,
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"outline_stroke_width" : 0,
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"stroke_color" : WHITE
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}
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def __init__(self, x_values, y_values, mode = "widths", **kwargs):
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@ -119,7 +123,13 @@ class Histogram(VMobject):
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bar = Rectangle(
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width = self.widths_scaled[i],
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height = self.y_values_scaled[i],
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stroke_width = self.bar_stroke_width,
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stroke_color = self.stroke_color,
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)
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if bar.height == 0:
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bar.height = 0.01
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bar.generate_points()
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t = float(x - self.x_min)/(self.x_max - self.x_min)
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bar_color = interpolate_color(
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self.start_color,
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@ -127,7 +137,6 @@ class Histogram(VMobject):
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t
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)
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bar.set_fill(color = bar_color, opacity = 1)
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bar.set_stroke(width = 0)
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bar.next_to(previous_bar,RIGHT,buff = 0, aligned_edge = DOWN)
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self.bars.add(bar)
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@ -137,7 +146,12 @@ class Histogram(VMobject):
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self.x_labels_group.add(x_label)
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y_label = TextMobject(self.y_labels[i])
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y_label.next_to(bar, UP)
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if self.y_label_position == "top":
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y_label.next_to(bar, UP)
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elif self.y_label_position == "center":
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y_label.move_to(bar)
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else:
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raise Exception("y_label_position must be top or center")
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self.y_labels_group.add(y_label)
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if i == 0:
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@ -155,11 +169,12 @@ class Histogram(VMobject):
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# lower left
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outline_points.append(outline_points[0])
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self.outline = Polygon(*outline_points)
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self.outline.set_stroke(color = WHITE)
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self.outline = Polygon(*outline_points,
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stroke_width = self.outline_stroke_width,
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stroke_color = self.stroke_color)
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self.add(self.bars, self.x_labels_group, self.y_labels_group, self.outline)
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print self.submobjects
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self.move_to(ORIGIN)
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def get_lower_left_point(self):
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return self.bars[0].get_anchors()[-2]
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@ -274,58 +289,3 @@ class FlashThroughHistogram(Animation):
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class SampleScene(Scene):
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def construct(self):
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x_values = np.array([1,2,3,4,5])
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y_values = np.array([4,3,5,2,3])
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hist1 = Histogram(
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x_values = x_values,
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y_values = y_values,
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x_scale = 0.5,
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y_scale = 0.5,
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).shift(1*DOWN)
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self.add(hist1)
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self.wait()
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y_values2 = np.array([3,8,7,15,5])
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hist2 = Histogram(
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x_values = x_values,
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y_values = y_values2,
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x_scale = 0.5,
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y_scale = 0.5,
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x_labels = text_range(1,6,1),
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)
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v1 = hist1.get_lower_left_point()
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v2 = hist2.get_lower_left_point()
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hist2.shift(v1 - v2)
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# self.play(
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# ReplacementTransform(hist1,hist2)
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# )
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self.play(
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FlashThroughHistogram(
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hist1,
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direction = "horizontal",
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mode = "linear",
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run_time = 10,
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rate_func = None,
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)
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)
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@ -10,21 +10,6 @@ GRADE_COLOR_1 = RED
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GRADE_COLOR_2 = BLUE
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def rainbow_color(alpha):
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nb_colors = 100
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rainbow = color_gradient([RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE], nb_colors)
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rainbow = np.append(rainbow,PURPLE)
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index = int(alpha * nb_colors)
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return rainbow[index]
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def graded_color(n,k):
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if n != 0:
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alpha = float(k)/n
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else:
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alpha = 0.5
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color = interpolate_color(GRADE_COLOR_1, GRADE_COLOR_2, alpha)
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return color
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def graded_square(n,k):
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return Square(
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@ -57,6 +57,11 @@ class GraphScene(Scene):
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def setup(self):
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self.default_graph_colors_cycle = it.cycle(self.default_graph_colors)
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self.left_T_label = VGroup()
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self.left_v_line = VGroup()
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self.right_T_label = VGroup()
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self.right_v_line = VGroup()
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def setup_axes(self, animate=False):
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# TODO, once eoc is done, refactor this to be less redundant.
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x_num_range = float(self.x_max - self.x_min)
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@ -291,7 +296,7 @@ class GraphScene(Scene):
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def get_area(self, graph, t_min, t_max):
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numerator = max(t_max - t_min, 0.01)
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numerator = max(t_max - t_min, 0.0001)
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dx = float(numerator) / self.num_rects
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return self.get_riemann_rectangles(
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graph,
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@ -439,13 +444,17 @@ class GraphScene(Scene):
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return group
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def add_T_label(self, x_val, color = WHITE, animated = False, **kwargs):
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def add_T_label(self, x_val, side = RIGHT, label = None, color = WHITE, animated = False, **kwargs):
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triangle = RegularPolygon(n=3, start_angle = np.pi/2)
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triangle.scale_to_fit_height(MED_SMALL_BUFF)
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triangle.move_to(self.coords_to_point(x_val, 0), UP)
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triangle.set_fill(color, 1)
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triangle.set_stroke(width = 0)
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T_label = TexMobject(self.variable_point_label, fill_color = color)
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if label == None:
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T_label = TexMobject(self.variable_point_label, fill_color = color)
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else:
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T_label = TexMobject(label, fill_color = color)
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T_label.next_to(triangle, DOWN)
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v_line = self.get_vertical_line_to_graph(
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x_val, self.v_graph,
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@ -459,11 +468,16 @@ class GraphScene(Scene):
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Write(T_label, run_time = 1),
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**kwargs
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)
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else:
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self.add(triangle, v_line, T_label)
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self.T_label_group = VGroup(T_label, triangle)
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self.right_v_line = v_line
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if np.all(side == LEFT):
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self.left_T_label_group = VGroup(T_label, triangle)
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self.left_v_line = v_line
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self.add(self.left_T_label_group, self.left_v_line)
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elif np.all(side == RIGHT):
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self.right_T_label_group = VGroup(T_label, triangle)
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self.right_v_line = v_line
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self.add(self.right_T_label_group, self.right_v_line)
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@ -472,6 +486,7 @@ class GraphScene(Scene):
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graph,
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new_t_min,
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new_t_max,
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fade_close_to_origin = True,
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run_time = 1.0
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):
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curr_t_min = self.x_axis.point_to_number(self.area.get_left())
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@ -482,33 +497,39 @@ class GraphScene(Scene):
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new_t_max = curr_t_max
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group = VGroup(self.area)
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if hasattr(self, "right_v_line"):
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group.add(self.right_v_line)
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else:
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group.add(VGroup())
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# because update_group expects 3 elements in group
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if hasattr(self, "T_label_group"):
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group.add(self.T_label_group)
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else:
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group.add(VGroup())
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group.add(self.left_v_line)
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group.add(self.left_T_label_group)
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group.add(self.right_v_line)
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group.add(self.right_T_label_group)
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def update_group(group, alpha):
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area, v_line, T_label = group
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area, left_v_line, left_T_label, right_v_line, right_T_label = group
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t_min = interpolate(curr_t_min, new_t_min, alpha)
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t_max = interpolate(curr_t_max, new_t_max, alpha)
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new_area = self.get_area(graph,t_min, t_max)
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new_v_line = self.get_vertical_line_to_graph(
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new_left_v_line = self.get_vertical_line_to_graph(
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t_min, graph
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)
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new_left_v_line.set_color(left_v_line.get_color())
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left_T_label.move_to(new_left_v_line.get_bottom(), UP)
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new_right_v_line = self.get_vertical_line_to_graph(
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t_max, graph
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)
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new_v_line.set_color(v_line.get_color())
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T_label.move_to(new_v_line.get_bottom(), UP)
|
||||
new_right_v_line.set_color(right_v_line.get_color())
|
||||
right_T_label.move_to(new_right_v_line.get_bottom(), UP)
|
||||
|
||||
#Fade close to 0
|
||||
if len(T_label) > 0:
|
||||
T_label[0].set_fill(opacity = min(1, t_max))
|
||||
# Fade close to 0
|
||||
if fade_close_to_origin:
|
||||
if len(left_T_label) > 0:
|
||||
left_T_label[0].set_fill(opacity = min(1, np.abs(t_min)))
|
||||
if len(right_T_label) > 0:
|
||||
right_T_label[0].set_fill(opacity = min(1, np.abs(t_max)))
|
||||
|
||||
Transform(area, new_area).update(1)
|
||||
Transform(v_line, new_v_line).update(1)
|
||||
Transform(left_v_line, new_left_v_line).update(1)
|
||||
Transform(right_v_line, new_right_v_line).update(1)
|
||||
return group
|
||||
|
||||
return UpdateFromAlphaFunc(group, update_group, run_time = run_time)
|
||||
|
||||
Reference in New Issue
Block a user