JKQtPlotter/examples/parametriccurve/README.md

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# Example (JKQTPlotter): Plotting Parametric Curves {#JKQTPlotterParametricCurves}
This project (see `./examples/parametriccurve/`) demonstrates how to draw parametric curves `[x,y]=f(t)`, using `JKQTPXYLineGraph` and `JKQTPXYParametrizedScatterGraph`, i.e. from a set of coordinates `[xi,yi]`, for which the vector-values function `f(t)` is evaluated explicitly. If you are alloking for an example of implicit drawing by only defining the function `f(t)` and having JKQTPlotter evaluate it automatically and adaptively, you'll have to use `JKQTPXYFunctionLineGraph`, which is explained in [`./examples/evalcurve`](https://github.com/jkriege2/JKQtPlotter/tree/master/examples/evalcurve)
The source code of the main application can be found in [`parametriccurve.cpp`](https://github.com/jkriege2/JKQtPlotter/tree/master/examples/parametriccurve/parametriccurve.cpp). First, the parametric curve (here a [logarithic spiral](https://en.wikipedia.org/wiki/Logarithmic_spiral)) is sampled into two columns containing the x- and y-values along the curve. In addition the radial distance from x=y=0 is added into a third column:
```.cpp
QVector<double> X, Y, R;
const int Ndata=500; // number of plot points in each curve
const double phiMax=4.0*M_PI;
const double a=1;
const double k=0.2;
for (double phi=-phiMax; phi<=phiMax; phi+=phiMax/double(Ndata)) {
const double x=a*exp(k*phi)*cos(phi);
const double y=a*exp(k*phi)*sin(phi);
X<<x;
Y<<y;
R<<sqrt(x*x+y*y);
}
// and copy it to the datastore
size_t columnX=ds->addCopiedColumn(X, "x");
size_t columnY=ds->addCopiedColumn(Y, "y");
size_t columnR=ds->addCopiedColumn(R, "r");
```
Then simples graph just uses the columns X and Y to plot the curve:
```.cpp
JKQTPXYLineGraph* graph1=new JKQTPXYLineGraph(&plot);
graph1->setXColumn(columnX);
graph1->setYColumn(columnY);
graph1->setDrawLine(true);
graph1->setSymbolType(JKQTPNoSymbol);
graph1->setTitle("one-colored spiral");
plot.addGraph(graph1);
```
If you use `JKQTPXYParametrizedScatterGraph` instead of `JKQTPXYLineGraph`, you can also modify the color of the line-segments, connecting the datapoints:
```.cpp
JKQTPXYParametrizedScatterGraph* graph2=new JKQTPXYParametrizedScatterGraph(&plot2);
graph2->setXColumn(columnX);
graph2->setYColumn(columnY);
graph2->setColorColumn(columnR);
graph2->setColorPalette(ette(JKQTPMathImageMATLAB);
graph2->setSymbolType(JKQTPNoSymbol);
graph2->setDrawLine(true);
graph2->setTitle("colored spiral");
graph2->getColorBarRightAxis()->setAxisLabel("color scale radius $r(\\phi)$");
plot2.addGraph(graph2);
```
The result looks like this:
![parametriccurve](https://raw.githubusercontent.com/jkriege2/JKQtPlotter/master/screenshots/parametriccurve1.png)
... and with the line-color set by the radius:
![parametriccurve](https://raw.githubusercontent.com/jkriege2/JKQtPlotter/master/screenshots/parametriccurve2.png)