Ideal template

[imh]

The original spec was

• a plot of sin(k_x) or tan(k_x),
• a button to switch a plot from sin(k_x) to tan(k_x),
• an input box for k.

What would complete the awesomeness would be if there was also maybe a table of values for "map (\x -> (x*k, x+k)) [1..20]" or something.

you da best.

[ghorn]

the bullet points aren't too hard, what do you mean by the table of values for the 'map ...'?

[imh]

i imagined

---------------------------------------------------
| k input            |                                   |
| tan/sin switch |                                    |
|--------------------|                                    |
| k*1   |  k + 1   |     PLOTTY THINGS   |
| k*2   |  k + 2   |                                    |
| k*3   |  k + 3   |                                    |
| k*4   |  k + 4   |                                    |
---------------------------------------------------

[imh]

since you're offering, I'd appreciate the previous template to study and learn from, as well as these two, in order of increasing complexity, so i can learn from them without having to understand it all at once:

Definitions

let f 0 = 1 f i = (f $ i - 1) * k g i = if (mod i 12 == 0) then (f i) else (g $ i - 1) h 0 = 20 h i = 20 + (g $ i - 1) * j a i = (f i) * jp + (h i)

let: jp = j + q j = jp - q

GUI

Input boxes for jp, j, and q, where

• entering jp uses the formula above to set j given q
• entering j uses the formula to set jp given q.
• entering q sets either jp or j in terms of the other depending on which was last updated. Maybe make the last one updated bold or colored or something too.

a table for i, f, g, h, and a for i in [1..30]

a plot of either tan or sin of either f, g, h, or a, with a button setting the tan/sin choice, and a button setting the f/g/h/a choice.

Then again with

Then the same kind of thing, but with a different plot and some different types:

Definitions

Let f, g, h, and a be types where we have:

e (f 0) = 1 e (f i) = (e $ f $ i - 1) * k e (g i) = if (mod i 12 == 0) then (e $ f i) else (e $ g $ i - 1) e (h 0) = 20 e (h i) = 20 + (e $ g $ i - 1) * j e (a i) = (e $ f i) * jp + (e $ h i)

and

v (whatever 0) = 1 v (whatever i) = sqrt $ 1 + (v $ whatever $ i - 1)**2

and

d (whatever i) x = exp (- (x - (e $ whatever i))**2)

where 'whatever' is f, g, h, or a.

I doubt that this is the way the types would work here, but I hope it gets the point across of what I'm trying to achieve. I just want the recursion to compute some object that is more than what's displayed, and be able to be displayed as a value or a function.

GUI

This time instead of the plots above, it will plot (d $ whatever i) for whichever of the elements of the table is clicked. That element will be bold or colorful or something.

for example, if you have | 0 | f 0 | g 0 | h 0 | a 0 | | 1 | f 1 | g 1 | h 1 | a 1 | and click on g 1's box, that box's contents will become bold, and the plot will become a gaussian centered there.