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68 lines
3.3 KiB
Markdown
68 lines
3.3 KiB
Markdown
# Example (JKQTPlotter): Vector Field Plot Example {#JKQTPlotterVectorFieldExample}
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This project (see [`vectorfield`](https://github.com/jkriege2/JKQtPlotter/tree/master/examples/vectorfield) demonstrates the use of JKQTPVectorFieldGraph to visualize a vector field.
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The source code of the main application is (see [`vectorfield.cpp`](https://github.com/jkriege2/JKQtPlotter/tree/master/examples/vectorfield/vectorfield.cpp).
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Here is a short summary of the important parts of the code:
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```.cpp
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// 1. setup a plotter window and get a pointer to the internal datastore (for convenience)
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JKQTPlotter plot;
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JKQTPDatastore* ds=plot.getDatastore();
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// 2. make up some arbitrary data to be used for plotting
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// this generates a 2D grid of x/y-coordinates and then calculates dx=cos(y)*sqrt(x/3.0) and dy=sin(x)*sqrt(x/3.0)
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const auto columnXY=ds->addLinearGridColumns(NX, 0, 6, NY, -3, 3,"x","y");
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const auto columnDX=ds->addCalculatedColumnFromColumn(columnXY.first, columnXY.second, [](double x,double y) { return sin(y)*sqrt(x/3.0); });
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const auto columnDY=ds->addCalculatedColumnFromColumn(columnXY.first, columnXY.second, [](double x,double y) { return cos(x)*sqrt(x/3.0); });
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// 3. create JKQTPVectorFieldGraph to display the data:
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JKQTPVectorFieldGraph* graph1=new JKQTPVectorFieldGraph(&plot);
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graph1->setXYColumns(columnXY);
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graph1->setDxColumn(columnDX);
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graph1->setDyColumn(columnDY);
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graph1->setTitle(QObject::tr("$\\vec{f}(x,y)=\\bigl[\\sin(y)\\cdot\\sqrt{x/3}, \\cos(x)\\cdot\\sqrt{x/3}\\bigr]^\\mathrm{T}$"));
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// 4. add the graphs to the plot, so it is actually displayed
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plot.addGraph(graph1);
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```
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The result looks like this:
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![vectorfield](https://raw.githubusercontent.com/jkriege2/JKQtPlotter/master/screenshots/vectorfield.png)
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By default, the length of the drawn vector is determined from the actual length in the data via an autoscaling algorithm that is supposed to prevent the vectors from overlapping.
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But you can modify this behaviour by adding a line
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```.cpp
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graph1->setVectorLengthMode(JKQTPVectorFieldGraph::LengthFromData);
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```
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which will use the given lengths directly (only scaled by an optional factor defined by JKQTPVectorFieldGraph::setLengthScaleFactor() ). The result then looks like this:
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![vectorfield](https://raw.githubusercontent.com/jkriege2/JKQtPlotter/master/doc/images/JKQTPVectorFieldGraphLengthFromData.png)
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Alternatively you can also set
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```.cpp
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graph1->setVectorLengthMode(JKQTPVectorFieldGraph::IgnoreLength);
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```
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which will draw all vectors with the same length. You can scale this length by setting JKQTPVectorFieldGraph::setAutoscaleLengthFactor() ). The result then looks like this:
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![vectorfield](https://raw.githubusercontent.com/jkriege2/JKQtPlotter/master/doc/images/JKQTPVectorFieldGraphIgnoreLength.png)
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Finally it is also possibly to scale the vector's line width with its length:
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```.cpp
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graph1->setVectorLengthMode(JKQTPVectorFieldGraph::AutoscaleLength);
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graph1->setVectorLineWidthMode(JKQTPVectorFieldGraph::AutoscaleLineWidthFromLength);
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```
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This will result in a plot like this:
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![vectorfield](https://raw.githubusercontent.com/jkriege2/JKQtPlotter/master/doc/images/JKQTPVectorFieldGraphAutoscaleLengthAutoscaleLineWidthFromLength.png)
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