Automative Smart treatment of axises for visulization

[idealkindom]

DESCRIPTION

Hope plot3d，mesh，surf,etc. could treat functions’ variables automatively with reference to the plot setting sequence, instead of defining functions with x, y.
A clear and concise description of what the intent of the new feature is. Ex. It would improve usability when [...]

Describe the solution you'd like
For Example For F（a,b,c）when setting b and c for plot function， b is x and c y.Instead，c coud also be x and b y.

Additional context
Add any other context or screenshots about the feature request here.

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DEVS' SECTION

ANALYSIS

(Describe, what's the issue and which changes have to be made)

IMPLEMENTATION STEPS

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• Implement the necessary changes in a new branch created here on GitHub
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PULL REQUEST

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[numeredev]

I'm not quite sure, whether I understand the issue correctly. From what I believe that I understood, you want to have something like

mesh F(a,b,c) -set plotvars={b,c} ...

where you can select the plotting varibles directly. This is different from the current behavior, i.e. using x and y explicit in the expression:

mesh F(A,x,y) -set ...

Under the assumption that this is, what you meant, can you tell us, what's the root cause for the feature request? What did you try to do? In which way does that simplify the interaction with the application?

[idealkindom]

I'm not quite sure, whether I understand the issue correctly. From what I believe that I understood, you want to have something like

mesh F(a,b,c) -set plotvars={b,c} ...

where you can select the plotting varibles directly. This is different from the current behavior, i.e. using x and y explicit in the expression:

mesh F(A,x,y) -set ...

Under the assumption that this is, what you meant, can you tell us, what's the root cause for the feature request? What did you try to do? In which way does that simplify the interaction with the application?

In physics and engineering there are many functions that include mutiple variables, for example we may have a function like P(p_0,c, phi, a,R) with some complicated from. If we want to study the influence of any one or two variables, of cource we could redefine it with x,y,z, however ,it makes it hard to associate the variable's true physical implications, thus I think if NumeRe could support to visualize any fucntion with any variable definition it would help a lot for efficiency. I learned visulaization from the examples in NumeRe, maybe I have not grasp the skills fully.

[numeredev]

There is a difference between defining a function with some argument and using it with some variables, this means that although a function is defined as f(a,b,c) one can still use it with the variables x, y and z: f(x,y,z)

define f(a,b,c) := a*sin(b)+cos(c)
mesh f(x,_pi,y)

But I assume that this is not new for you. Can you provide us

• with a minimal working example
• The same example but your desired adaptations?