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- based on https://github.com/paulmasson/mathcell - see paulmasson/mathcell#1 - see tranleduy2000/ncalc#67
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| ## Manipulate | ||
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| ``` | ||
| Manipulate(plot, {x, min, max}) | ||
| ``` | ||
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| > generate a JavaScript control for the expression `plot` which can be manipulated by a range slider `{x, min, max}`. | ||
| **Note**: This feature is not available on all supported platforms. | ||
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| ### Examples | ||
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| In the console apps, this command shows an HTML page with a JavaScript plot control, | ||
| where the value of the variable `a` can be manipulated by a slider in the range `[0..10]`. | ||
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| ``` | ||
| >> Manipulate(Plot(Sin(x)*Cos(1 + a*x), {x, 0, 2*Pi}), {a,0,10}) | ||
| ``` | ||
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...brary/matheclipse-core/src/main/java/org/matheclipse/core/builtin/ManipulateFunction.java
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| package org.matheclipse.core.builtin; | ||
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| import java.io.IOException; | ||
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| import org.matheclipse.core.basic.Config; | ||
| import org.matheclipse.core.basic.ToggleFeature; | ||
| import org.matheclipse.core.eval.EvalEngine; | ||
| import org.matheclipse.core.eval.interfaces.AbstractEvaluator; | ||
| import org.matheclipse.core.expression.F; | ||
| import org.matheclipse.core.interfaces.IAST; | ||
| import org.matheclipse.core.interfaces.IExpr; | ||
| import org.matheclipse.core.interfaces.ISymbol; | ||
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| public class ManipulateFunction { | ||
| private final static String MATHCELL = // | ||
| "MathCell( id, [ `1` ] );\n" + // | ||
| "\n" + // | ||
| "parent.update = function( id ) {\n" + // | ||
| "\n" + // | ||
| // " var phase = document.getElementById( id + 'phase' ).value;\n" + // | ||
| " `2`" + // | ||
| "\n" + // | ||
| " `3`" + // | ||
| // " var p2 = plot( x => Math.cos(x-phase), [0, 2*Math.PI], { color: 'purple' } );\n" + // | ||
| // "\n" + // | ||
| // " var data = [ p1, p2 ];\n" + // | ||
| "\n" + // | ||
| " var config = { type: 'svg' };\n" + // | ||
| "\n" + // | ||
| " evaluate( id, data, config );\n" + // | ||
| "\n" + // | ||
| "}"; | ||
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| /** | ||
| * | ||
| * See <a href="https://pangin.pro/posts/computation-in-static-initializer">Beware of computation in static | ||
| * initializer</a> | ||
| */ | ||
| private static class Initializer { | ||
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| private static void init() { | ||
| F.Manipulate.setEvaluator(new Manipulate()); | ||
| } | ||
| } | ||
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| private static class Manipulate extends AbstractEvaluator { | ||
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| @Override | ||
| public IExpr evaluate(final IAST ast, EvalEngine engine) { | ||
| try { | ||
| if (ast.arg1().isAST(F.Plot)) { | ||
| IAST plot = (IAST) ast.arg1(); | ||
| if (plot.size() == 3 && plot.arg2().isList()) { | ||
| IAST plotRange = (IAST) plot.arg2(); | ||
| if (plotRange.isAST3() && plotRange.arg1().isSymbol()) { | ||
| ISymbol plotSymbol = (ISymbol) plotRange.arg1(); | ||
| if (ast.arg2().isList()) { | ||
| IAST sliderRange = (IAST) ast.arg2(); | ||
| if (sliderRange.isAST3() && sliderRange.arg1().isSymbol()) { | ||
| String js = MATHCELL; | ||
| String sliderSymbol = OutputFunctions.toJavaScript(sliderRange.arg1()); | ||
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| // { type: 'slider', min: 0, max: 2*Math.PI, name: 'phase', label: 'phase' } | ||
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| StringBuilder slider = new StringBuilder(); | ||
| slider.append("{ type: 'slider', min: "); | ||
| slider.append(OutputFunctions.toJavaScript(sliderRange.arg2())); | ||
| slider.append(", max: "); | ||
| slider.append(OutputFunctions.toJavaScript(sliderRange.arg3())); | ||
| slider.append(", name: '"); | ||
| slider.append(sliderSymbol); | ||
| slider.append("', label: '"); | ||
| slider.append(sliderSymbol); | ||
| slider.append("' }\n"); | ||
| js = js.replaceAll("`1`", slider.toString()); | ||
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| // var a = document.getElementById( id + 'a' ).value; | ||
| StringBuilder variable = new StringBuilder(); | ||
| variable.append("var "); | ||
| variable.append(sliderSymbol); | ||
| variable.append(" = document.getElementById( id + '"); | ||
| variable.append(sliderSymbol); | ||
| variable.append("' ).value;\n"); | ||
| js = js.replaceAll("`2`", variable.toString()); | ||
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| // plot( x => (Math.sin(x*(1+a*x))), [0, 2*Math.PI], { } ) | ||
| StringBuilder function = new StringBuilder(); | ||
| function.append("var p1 = plot( "); | ||
| function.append(OutputFunctions.toJavaScript(plotSymbol)); | ||
| function.append(" => ("); | ||
| function.append(OutputFunctions.toJavaScript(plot.arg1())); | ||
| function.append("), ["); | ||
| function.append(OutputFunctions.toJavaScript(plotRange.arg2())); | ||
| function.append(", "); | ||
| function.append(OutputFunctions.toJavaScript(plotRange.arg3())); | ||
| function.append("], { } );\n"); | ||
| // var data = [ p1, p2 ]; | ||
| function.append(" var data = [ p1 ];"); | ||
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| js = js.replaceAll("`3`", function.toString()); | ||
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| return F.JSFormData(js, "mathcell"); | ||
| } | ||
| } | ||
| } | ||
| } | ||
| } | ||
| } catch (IOException ioex) { | ||
| if (Config.SHOW_STACKTRACE) { | ||
| ioex.printStackTrace(); | ||
| } | ||
| } catch (RuntimeException rex) { | ||
| if (Config.SHOW_STACKTRACE) { | ||
| rex.printStackTrace(); | ||
| } | ||
| } | ||
| return F.NIL; | ||
| } | ||
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| @Override | ||
| public int[] expectedArgSize() { | ||
| return IOFunctions.ARGS_2_2; | ||
| } | ||
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| @Override | ||
| public void setUp(final ISymbol newSymbol) { | ||
| newSymbol.setAttributes(ISymbol.HOLDALL); | ||
| } | ||
| } | ||
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| public static void initialize() { | ||
| if (ToggleFeature.MANIPULATE) { | ||
| Initializer.init(); | ||
| } | ||
| } | ||
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| private ManipulateFunction() { | ||
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| } | ||
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| } |
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