## Sliders

Making a movable point from variables respects their constraints.

→ this allows for 1D sliders:

set v=1 , then settle some value range. then draw point (0,v), and makes it vertically movable (in facts it is the default).

Note that DesmosGraph is smart enough so that even translation and scaling are permitted to draw your slider: (0, v/2 + 1/2 ) . ( But not non-linear transforms ).

Same principle to tune 2 variables as a square 2D slider.

What about other shapes, e.g., disk ?

DesmosGraph allows to put equation everywhere, comprising in parameters tunings, so that the second parameter range can be constrained by the first: range -sqrt(1-v²), sqrt(1-v²)

Example here. More extreme: spiral slider.

## Keyboard user control

Desmos have multiple input and output alternatives, to help with various disabilities.

One of the features is that many thing can be controlled from the keyboard.

This include selecting a movable point ( use CTRL-ALT-P , then TAB or shift TAB to browse points ) and moving it ( using arrow keys ).

Practical use: to let the user control 1 ot 2 parameters via keyboard, put a discrete movable point somewhere, and just tell users to first do CTRL-ALT-P once, then use arrow keys.

Example here.

## Interrupted contours

Sometime you want to store several contours or shapes in a same list.

This is possible, because DesmosGraph knows special numbers “undefined” like 0/0 , and “infinity”, like 1/0 or `infty` command.

The first can be used to interrupt contours, the second to make horizontal or vertical asymptotes.

Example here.

## Function selector

Sometime you want to test a transform other several possible functions, or let the user experiment. Instead of changing the formula for f(x) or swapping the namings `f`_{i}(x) vs `f(x)`, you can implement a function selector by storing them in a table: `F(x) = [ `*all functions* ] then `f(x) = F(x)[s]` .

Example here.

## Copy-Pasting a Graph in another

Sometime you make ( or find ) utilitary graphs, e.g. with functions for complex, or geometry, or 3D, or Fourier, or music, or whatever. You would like to include them for use in your new shader.

→ in your graph, create a folder, and just copy the URL in the folder name !

( Attention: the utilitary graph must have no folders, though ).

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