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ManipulatePlot

Wolfram Kernel
Execution environment
ManipulatePlot[f_, {t, min, max}, {p1, min, max}, ..., opts___]

a dynamic alternative to Plot and Mathematica's Manipulate, that uses input elements and Offload technic to make a fast interactive plots of a given function f[t, p1, p2...]

the set of parameters are not limited and accepts the following forms

ManipulatePlot[f_, {t, min, max}, {p1}, {p2}, ...]
ManipulatePlot[f_, {t, min, max}, {p1, min, max}, {p2}, ...]
ManipulatePlot[f_, {t, min, max}, {p1, min, max, step}, {p2}, ...]
ManipulatePlot[f_, {t, min, max}, {{p1, initial}, min, max}, {p2}, ...]
ManipulatePlot[f_, {t, min, max}, {{p1, initial, label}, min, max}, {p2}, ...]
ManipulatePlot[f_, {t, min, max}, {p1, values_List}, {p2}, ...]
ManipulatePlot[f_, {t, min, max}, {{p1, initial}, values_List}, {p2}, ...]
ManipulatePlot[f_, {t, min, max}, {{p1, initial, label}, values_List}, {p2}, ...]

where f can return _Real or {__Real}

Options

"SamplingPoints"

A number of points used in sampling. The default value is 200

It inherits some of Graphics options as well

TransitionType

See TransitionType

TransitionDuration

See TransitionDuration

ImageSize

Accepts {width, height}

PlotStyle

Specifies colors for each curve

Epilog

Prolog

Appends graphics primitives to the plot. See Graphics

"TrackedExpression"

Similar to the option of InputRange. It provides an external control over the sliders. Your expression must be an array of values with a length equal to the number of controlling parameters. For example

woo = {0.5, 0.6};

ManipulatePlot[Sin[ w x^2 + u], {x,0,10}, {w, 0, 1},{u, 0,1}, "TrackedExpression"->Offload[woo]]

now you can update it by setting a new value

woo = {0.3, 0.2, 1.3}

Example

Plot the simplest sine function

ManipulatePlot[Sin[w z + p], {z,0,10}, {w, 0, 15.1, 1}, {p, 0, Pi, 0.1}]

Or give a choice to a user

ManipulatePlot[f[w z + p], {z,0,10}, {w, 0, 15.1, 1}, {p, 0, Pi, 0.1}, {f, {Sin, Cos}}]

Issues

danger

Help needed!

There is no adaptive sampling implemented.