script/tutorial/64_NumericalAnalysis.js

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+///////////////////////////////////////////////////////////////////////////////////////////////////
+// Use of numerical analysis functions in mathutils
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+run("mathutils")
+
+//interpolation
+var fy = [0, 1, 4,10,50,25,12, 5, 3, 0] 
+var fx = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
+types = ["linear", "cubic",  "akima", "loess", "neville", "newton"]
+functions = types.map(function(t) {return interpolate(fy,fx,t)})    
+
+plot_x = range (0,9,0.01)
+values = functions.map(function(f) {return get_values(f,plot_x)})    
+plots=plot(values,types,plot_x)
+
+//derivative
+for (var i=0; i<types.length; i++){
+    try{
+        d = deriv(functions[i])
+        plots[i].addSeries(new LinePlotSeries("derivative"))
+        plots[i].getSeries(1).setData(plot_x, get_values(d,plot_x))    
+    } catch(ex){
+        //not differentiable
+    }
+}
+
+//integration
+for (var i=0; i<types.length; i++){
+    s = integrate(functions[i],fx)
+    plots[i].addMarker(fx[fx.length-1]+0.1, null, "Integral=" + Math.round(s,4), plots[i].background).setLabelPaint(Color.BLACK)
+}
+
+//Direct calculation on arrays:
+print ("Deriv (linear interpolation): ", deriv(fy,fx))
+print ("Deriv (cubic interpolation): ", deriv(fy, fx, "cubic"))
+print ("Integral (linear interpolation): ", integrate(fy, null, fx, "cubic"))
+print ("Integral (cubic interpolation): ", integrate(fy, null, fx, "cubic"))
+print ("Integral (linear interpolation in range [1,5]): ", integrate(fy, [1,5], fx))