blocks|key|3381480|text|您要正确地将函数传递给FunctionGraph，问题是，如果没有为绘图显式指定一个x_range，Manim将选择范围[-config.frame_x_radius,+config.frame_x_radius]+(也就是说，它跨越整个帧的宽度；默认为-7.11到%2B7.11)。|type|unstyled|depth|inlineStyleRanges|offset|length|style|CODE|entityRanges|data|3381481|在函数中插入负值是有问题的，Manim抱怨道。要么将x_range=[0,+7]传递给FunctionGraph，要么查看ImplicitFunction+(在我看来，这对于处理椭圆曲线更为有用)。|3381482|最后一个提示:要对FunctionGraph进行合理的扩展可能有点棘手，您可能需要考虑创建一个Axes+mobject，然后使用相应的Axes.plot或Axes.plot_implicit方法。|3381483|entityMap|0|LINK|mutability|MUTABLE|url|https://docs.manim.community/en/stable/reference/manim.mobject.graphing.functions.ImplicitFunction.html?highlight=ImplicitFunction#manim.mobject.graphing.functions.ImplicitFunction^0|B|D|16|7|1O|1B|0|Q|E|17|D|1P|G|1P|G|0|0|9|D|1B|4|1V|9|25|I|0^^$0|@$1|2|3|4|5|6|7|R|8|@$9|S|A|T|B|C]|$9|U|A|V|B|C]|$9|W|A|X|B|C]]|D|@]|E|$]]|$1|F|3|G|5|6|7|Y|8|@$9|Z|A|10|B|C]|$9|11|A|12|B|C]|$9|13|A|14|B|C]]|D|@$9|15|A|16|1|17]]|E|$]]|$1|H|3|I|5|6|7|18|8|@$9|19|A|1A|B|C]|$9|1B|A|1C|B|C]|$9|1D|A|1E|B|C]|$9|1F|A|1G|B|C]]|D|@]|E|$]]|$1|J|3|-4|5|6|7|1H|8|@]|D|@]|E|$]]]|K|$L|$5|M|N|O|E|$P|Q]]]]

You are passing the function to <code>FunctionGraph</code> correctly, the problem is that if you don't explicitly specify a <code>x_range</code> for the plot, Manim will choose the range <code>[-config.frame_x_radius, config.frame_x_radius]</code> (that is, it spans over the entire width
of the frame; by default from -7.11 to +7.11).
Plugging in negative values in your function is problematic, and so Manim complains. Either pass <code>x_range=[0, 7]</code> to <code>FunctionGraph</code>, or check out <a href="https://docs.manim.community/en/stable/reference/manim.mobject.graphing.functions.ImplicitFunction.html?highlight=ImplicitFunction#manim.mobject.graphing.functions.ImplicitFunction" rel="nofollow noreferrer"><code>ImplicitFunction</code></a> (which to me seems more useful for working with elliptic curves).
And one final hint: It can be a bit tricky to get sane scaling for <code>FunctionGraph</code>, you might want to consider creating an <code>Axes</code> mobject and then use the corresponding <code>Axes.plot</code> or <code>Axes.plot_implicit</code> methods.

blocks|key|3381558|text|以下几点对我有用：|type|unstyled|depth|inlineStyleRanges|entityRanges|data|3381559|#!/usr/bin/env+python
"""
#+python+-m+manim+--quality+l+simple_ec.py+EllipticCurve1+-p
"""
from+manim+import+*

class+EllipticCurve(Scene):
++++def+construct(self):
++++++++ax+=+Axes(x_range=[-3.2,+6.2,+1],+y_range=[-21,+21,+10]
++++++++++++++++++,+x_length=14+++++++++,+y_length=7.5
++++++++++++++++++,+color=BLUE
++++++++++++++++++,+x_axis_config={"numbers_to_include":+range(-3,+6+%2B+1,+1),
+++++++++++++++++++++++++++++++++++"font_size":+24,}
++++++++++++++++++,+y_axis_config={"numbers_to_include":+range(-20,+20+%2B+10,+10),
+++++++++++++++++++++++++++++++++++"font_size":+24,}
++++++++++++++++++,+tips=False)
++++++++
++++++++a+=+ax.plot_implicit_curve(lambda+x,+y:+-y**2+%2B+x**3+-+x+%2B+19
+++++++++++++++++++++++++++++++++++,+color=YELLOW)

++++++++plane+=+NumberPlane(x_range=[-3.2,+6.2,+1],+y_range=[-21,+21,+10]
++++++++++++++++++++++++++++,+x_length=14+++++++++,+y_length=7.5
++++++++++++++++++++++++++++,+color=GRAY)

++++++++self.add(ax,+a,+plane)
++++++++self.wait(5)|code-block|syntax|javascript|3381560|它使用了一个隐式绘图--+axes对象ax的方法ax，并且正在生成：|offset|length|style|CODE|3381561|​|3381562|📷|atomic|3381563|3381564|注:从注释中提取了想要的椭圆曲线。这是曲线y=x-x%2B+19。(当然，我们不能通过从R.H.S中“按条件”提取平方根来分离y。--不管术语的符号是什么.)曲线(从理性主义上看)没有扭转点，它的秩是1，生成元是(2，5)。|3381565|entityMap|0|IMAGE|mutability|IMMUTABLE|imageUrl|https://developer.qcloudimg.com/http-save/yehe-900000/888fba0b33f93f4f776346dd3b1bac47.png|imageAlt^0|0|0|J|2|O|2|0|0|0|1|0|0|0|0^^$0|@$1|2|3|4|5|6|7|13|8|@]|9|@]|A|$]]|$1|B|3|C|5|D|7|14|8|@]|9|@]|A|$E|F]]|$1|G|3|H|5|6|7|15|8|@$I|16|J|17|K|L]|$I|18|J|19|K|L]]|9|@]|A|$]]|$1|M|3|N|5|6|7|1A|8|@]|9|@]|A|$]]|$1|O|3|P|5|Q|7|1B|8|@]|9|@$I|1C|J|1D|1|1E]]|A|$]]|$1|R|3|N|5|6|7|1F|8|@]|9|@]|A|$]]|$1|S|3|T|5|6|7|1G|8|@]|9|@]|A|$]]|$1|U|3|-4|5|6|7|1H|8|@]|9|@]|A|$]]]|V|$W|$5|X|Y|Z|A|$10|11|12|-4]]]]

The following worked for me:
<pre><code>#!/usr/bin/env python
&quot;&quot;&quot;
# python -m manim --quality l simple_ec.py EllipticCurve1 -p
&quot;&quot;&quot;
from manim import *

class EllipticCurve(Scene):
 def construct(self):
 ax = Axes(x_range=[-3.2, 6.2, 1], y_range=[-21, 21, 10]
 , x_length=14 , y_length=7.5
 , color=BLUE
 , x_axis_config={&quot;numbers_to_include&quot;: range(-3, 6 + 1, 1),
 &quot;font_size&quot;: 24,}
 , y_axis_config={&quot;numbers_to_include&quot;: range(-20, 20 + 10, 10),
 &quot;font_size&quot;: 24,}
 , tips=False)
 
 a = ax.plot_implicit_curve(lambda x, y: -y**2 + x**3 - x + 19
 , color=YELLOW)

 plane = NumberPlane(x_range=[-3.2, 6.2, 1], y_range=[-21, 21, 10]
 , x_length=14 , y_length=7.5
 , color=GRAY)

 self.add(ax, a, plane)
 self.wait(5)
 
</code></pre>
It uses an implicit plot, the method <code>plot_implicit_curve</code> of the axes object <code>ax</code>, and is producing:
<a href="https://i.stack.imgur.com/847hN.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/847hN.png" alt="elliptic curve yy = xxx - x + 19" /></a>
Note: The wanted elliptic curve was extracted from the comments. It is the curve y² = x³ - x + 19 . (Of course, we cannot isolate y by extracting the square root &quot;termwise&quot; from the R.H.S. - whatever the signs of the terms may be...) The curve (seen over the rationals) has no torsion points, its rank is one, and a generator is (2, 5).

I'm playing with manim and I'd like to create an animation with an elliptic curve. This is my code, in the file functions.py:
<pre><code>from manim import *

class EllipticCurve(Scene):

 def construct(self):
 basic_ec = FunctionGraph(
 lambda x: x**1.5 - x**0.5 + 19**0.5
 )

 self.play(Create(basic_ec))
</code></pre>
When I execute this command <code>manim -pql functions.py EllipticCurve</code>, I get the following error:
<code>ValueError: array must not contain infs or NaNs</code>
I believe the the method <code>FunctionGraph</code> expects a function, instead of a curve, but how can I animate and plot an elliptic curve? Is there any other method? Am I missing something?

How to create animations of elliptic curves in manim?

翻译质量差，导致语言生硬或混乱。

没有提供实际的解决方法或示例。

解答不清晰，无法理解或解决问题。

页面排版不美观，阅读体验差。

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我在玩manim，我想制作一个椭圆曲线的动画。这是我的代码，在文件functions.py中：from manim import *class EllipticCurve(Scene):    def construct(self):        basic_ec = FunctionGraph(          ...

问如何在manim中创建椭圆曲线的动画？
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问如何在manim中创建椭圆曲线的动画？EN