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ManipulatePlot

Wolfram Kernel
Execution environment
wljs-manipulate
Package
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

Appearance​

By the default is "Default". Set it to None to remove the frame and info boxes.

"ControlsLayout"​

By the default is "Vertical", another possible value is "Horisontal"

Epilog​

Prolog​

Appends graphics primitives to the plot. See Graphics

"UpdateFunction"​

Allows to alter the data generated on update or cause user-defined side-effects. The following values are expected

Function[input,
	(* side effects *)
	(* RETURN *)
	True <- accept change
	False <- prevent default
	_ <- will be written instead
]

This allows to add extra dynamic features to your plot nicely

Module[{label, pos},
  ManipulatePlot[x w, {x,0,1}, {w,0,2},
    Epilog->Text[label // Offload, pos // Offload],
    "UpdateFunction" -> Function[input,
      label = StringTemplate["w = ``"][input];
      pos = {0.5, input 0.5 + 0.2};
      True
    ]
  ]
]

"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}}]

Supported output forms​

Portability​

It can be automatically exported to Interactive HTML or MDX in automatic mode.

Issues​

danger

Help needed!

There is no adaptive sampling implemented.

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