2D function plots

F# for Visualization provides advanced interactive 2D function plotting capability with typeset mathematics.

F# for Visualization can be loaded with only one lines of code:

> #r "FSharpForVisualization.dll";;

The definitions required for 2D function plotting are in the following modules:

> open FlyingFrog.Graphics;;
> open FlyingFrog.Graphics.Typeset;;

A simple 2D function plot may be spawned from the F# interactive session using the Plot constructor:

> Plot([Function id], (-1e30, 1e30), (-1e30, 1e30));;

To give:

Note how the large numbers on the ticks are automatically typeset in conventional scientific notation.

The vertical range and labels are optional arguments to the Plot constructor. The following example demonstrates the use of typeset labels:

> let labels = Row[math "x"], Row[Super(math "x", math 3); math "-x-1"];;
val labels : math * math
> Plot([Function(fun x -> pown x 3 - x - 1.0)], (-3., 3.), (-3., 4.), Labels=labels);;

Note the typeset label. Typeset mathematics can include a wide variety of constructs including square roots and even integrals with limits.

For a more advanced example, consider the 1D Mexican hat wavelet written in terms of the second Hermite polynomial h2:

> let wavelet t =
    let pi = System.Math.PI
    let c = 1.0 / sqrt(2.0 ** -3.5 * sqrt pi * 3.0)
    let h2 x = 4.0 * x * x - 2.0
    0.25 * c * h2(t / 2.0) * exp(-t*t / 4.0);;
val wavelet : float -> float

> let labels = Row[math "t"], Row[Sub(Greek.Psi, math 2); math "(t)"];;
val labels : math * math

> Plot([Function wavelet], (-8., 8.), (-0.9, 0.5), Labels=labels);;

This functionality of F# for Visualization can be used to plot any function of one variable.

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