3 replies to this topic

[-Tom-]

Hi!
Q:How to draw function given in intervals and integrate it later?
I searched instruction and there is nothing. Could anyone help me?

[PAP]

Hi!
Q:How to draw function given in intervals and integrate it later?
I searched instruction and there is nothing. Could anyone help me?

You probably mean that you want to define a piecewise function, then integrate it from x=a to x=b. If so, defining a piecewise function is described in the manual. Integration is straightforward, but expect very slow convergence, if build-in integration is used, and the function is not smooth. On the other hand, defining and solving this problem in a CPLua program using LuaNumAn is very easy and accurate. For more details see a similar topic; you will find more information about this problem, and its solution.

[-Tom-]

No, this is not what I wanted. What I need is to define a function on many ranges, using piecewise I can define: here-this, rest-this :| it is not satysfying. I already used Lua, not exacly LuaNumAn (sorry for this) and I must say that it was best solution, like always. Integration doesnt have to be so accurate in my case. But Im still interested how to solve my problem without Lua....

[PAP]

What I need is to define a function on many ranges, using piecewise I can define: here-this, rest-this :| it is not satysfying.

You should use nested piecewise functions. For example the following code:

piecewise(case1,val1,piecewise(case2,val2,val3))

will return val1, if case1 is satisfied; if not, it will return val2, if case2 is satisfied, otherwise, it will return val3. Needless to say that you can nest more than 2 piecewise functions. This way you can define multi-branch functions .

I already used Lua, not exacly LuaNumAn (sorry for this) and I must say that it was best solution, like always. Integration doesnt have to be so accurate in my case. But Im still interested how to solve my problem without Lua....

Well, built-in definite integration is powerful, but usually slower than LuaNumAn functions. Like you said, a Lua program implementation is the best solution anyway.