NEW: JKQTPGeoBezierCurve for drawing bezier curves of degree 1-4 (+example)

README.md

@@ -61,7 +61,7 @@ This software is licensed under the term of the [GNU Lesser General Public Licen
   - [contour plots](https://jkriege2.github.io/JKQtPlotter/group__jkqtplotter__imagelots__contour.html)
   - [vector field graphs/quiver plots](https://jkriege2.github.io/JKQtPlotter/group__jkqtplotter__vectorfieldgraphs.html)
   - [financial graphs (candlestick/OHLC)](https://jkriege2.github.io/JKQtPlotter/group__jkqtplotter__financialgraphs.html)
-  - [geometric forms](http://jkriege2.github.io/JKQtPlotter/group__jkqtplotter__geoplots.html) / [annotations](http://jkriege2.github.io/JKQtPlotter/group__jkqtplotter__annotations.html)
+  - [geometric forms (lines, rectangles, polygons, circles, bezier-curves, ...)](http://jkriege2.github.io/JKQtPlotter/group__jkqtplotter__geoplots.html) / [annotations (labels, text, ranges, ...)](http://jkriege2.github.io/JKQtPlotter/group__jkqtplotter__annotations.html)
   - can be easily extended by deriving a new graph from [JKQTPPlotElement](http://jkriege2.github.io/JKQtPlotter/class_j_k_q_t_p_plot_element.html), [JKQTPPlotAnnotationElement](http://jkriege2.github.io/JKQtPlotter/class_j_k_q_t_p_plot_annotation_element.html), [JKQTPGeometricPlotElement](http://jkriege2.github.io/JKQtPlotter/class_j_k_q_t_p_geometric_plot_element.html), [JKQTPGraph](http://jkriege2.github.io/JKQtPlotter/class_j_k_q_t_p_graph.html)
 - optional: [OpenCV interface](http://jkriege2.github.io/JKQtPlotter/group__jkqtpinterfaceopencv.html), [CImg interfaces](http://jkriege2.github.io/JKQtPlotter/group__jkqtpinterfacecimg.html)
 - CMake-based build system

doc/CMakeLists.txt

@@ -248,6 +248,7 @@ if(JKQtPlotter_BUILD_EXAMPLES)
         vectorfield
         paramvectorfield
         financialgraphs
+        geo_bezier
     )
 
 
@@ -279,6 +280,7 @@ if(JKQtPlotter_BUILD_EXAMPLES)
         vectorfield/JKQTPVectorFieldGraph,JKQTPVectorFieldGraphAnchorBottom,JKQTPVectorFieldGraphAnchorMid,JKQTPVectorFieldGraphAnchorTip,JKQTPVectorFieldGraphAutoscaleLength,JKQTPVectorFieldGraphLengthFromData,JKQTPVectorFieldGraphIgnoreLength,JKQTPVectorFieldGraphIgnoreLengthAutoscaleLineWidthFromLength,JKQTPVectorFieldGraphAutoscaleLengthAutoscaleLineWidthFromLength/--iteratefunctorsteps
         paramvectorfield/JKQTPParametrizedVectorFieldGraph,JKQTPParametrizedVectorFieldGraphColorFromMagnitude,JKQTPParametrizedVectorFieldGraphColorFromAngle,JKQTPParametrizedVectorFieldGraphDefaultColor/--iteratefunctorsteps
         financialgraphs/JKQTPFinancialGraph,JKQTPFinancialGraphCandleStick,JKQTPFinancialGraphSetCandlestickTwoColor,JKQTPFinancialGraphSetCandlestickTwoColor2,JKQTPFinancialGraphSetCandlestickOneColor,JKQTPFinancialGraphOHLC,JKQTPFinancialGraphSetOHLCTwoColor,JKQTPFinancialGraphSidyBySide/--iteratefunctorsteps
+        geo_bezier/JKQTPGeoBezierCurveGraphic,JKQTPGeoBezierCurveMath,JKQTPGeoBezierCurveLogMath,JKQTPGeoBezierCurveLogGraphic/--iteratefunctorsteps
     )
 
 
@@ -289,7 +291,6 @@ if(JKQtPlotter_BUILD_EXAMPLES)
 
 
 
-
     foreach(ex ${JKQTPlotter_GenerateDocScreenshots_From})
         set(example ${ex})
         set(basename ${ex})

doc/dox/examples_and_tutorials.dox

@@ -119,6 +119,9 @@ All test-projects are Qt-projects that use qmake to build. You can load them int
 <tr><td> \image html geo_arrows_small.png
     <td> \subpage JKQTPlotterGeometricArrows
     <td> `JKQTPGeoArrow`, ...
+<tr><td> \image html geo_bezier_small.png
+    <td> \subpage JKQTPlotterGeometricBezier
+    <td> `JKQTPGeoBezierCurve`, ...
 <tr><td> \image html geo_coordinateaxis0_small.png
     <td> \subpage JKQTPlotterGeometricCoordinateAxis0
     <td> `JKQTPCoordinateAxisStyle::drawMode0`, `JKQTPGeoPolygon`, `JKQTPGeoEllipse`

doc/dox/jkqtplotter_plotelements_classdoc.dox

@@ -302,6 +302,9 @@ This group assembles graphs that add (textual) labels to the datapoints in a plo
     <tr>
       <td>\image html geo_arrows_small.png
       <td> JKQTPGeoArrow
+    <tr>
+      <td>\image html geo_bezier_small.png
+      <td> JKQTPGeoBezierCurve
     <tr>
       <td>\image html geo_rect_small.png
       <td> JKQTPGeoRectangle

doc/dox/todo.dox

@@ -12,7 +12,6 @@ This page lists several todos and wishes for future version of JKQTPlotter
     <li>data management: allow for other datatypes than double, would be good to have, double, float, ints, bool, string ... as for images</li>
     <li>data management: binding  for the <a href="https://eigen.tuxfamily.org/index.php?title=Main_Page">Eigen library</a></li>
     <li>graphic elements: annotation graphic element with text positionable like legend, or with (0..1),(0..1)-coordinates within plot</li>
-    <li>graphic elements: cubic/bezier curves for graphic elements</li>
     <li>graphic elements: make coordinate systems selectable for all: x/y-axis, 0..1/0..1, topleft/topright... </li>
     <li>graphs: barchart/ranges chart with (x,y1,y2) or (x1,x2,y)</li>
     <li>graphs: gant-chart as simplified vector field with (x,y1,y2) or (x1,x2,y), or (x,y,dx), (x,y,dy) ... different head/tail style</li>

doc/dox/whatsnew.dox

@@ -135,6 +135,7 @@ Changes, compared to  \ref page_whatsnew_V4_0_0 "v4.0.0" include:
     <li>NEW: JKQTPFinancialGraph for drawing candlestick or OHLC graphs of financial data, such as stock amrket prices (+example \ref JKQTPlotterFinancialChartExample)</li>
     <li>NEW: stacked barcharts may have a small separation (default 1pt)</li>
     <li>NEW: autoscaling for barcharts works now, also when stacked and unstacked charts are combined in one plot</li>
+    <li>NEW: JKQTPGeoBezierCurve for drawing bezier curves of degree 1-4 (+example \ref JKQTPlotterGeometricBezier)</li>
   </ul></li>
   
   <li>JKQTMathText:<ul>

examples/CMakeLists.txt

@@ -72,6 +72,7 @@ if (JKQtPlotter_BUILD_LIB_JKQTPLOTTER)
     add_subdirectory(financialgraphs)
     add_subdirectory(functionplot)
     add_subdirectory(geo_arrows)
+    add_subdirectory(geo_bezier)
     add_subdirectory(geo_simple)
     add_subdirectory(geo_coordinateaxis0)
     add_subdirectory(geometric)

examples/geo_bezier/CMakeLists.txt

@@ -0,0 +1,30 @@
+cmake_minimum_required(VERSION 3.23)
+
+set(EXAMPLE_NAME geo_bezier)
+set(EXENAME jkqtptest_${EXAMPLE_NAME})
+
+message( STATUS "..   Building Example ${EXAMPLE_NAME}" )
+
+
+# Set up source files
+set(SOURCES ${EXAMPLE_NAME}.cpp)
+set(HEADERS )
+set(RESOURCES  )
+set(UIS  )
+
+add_executable(${EXENAME} WIN32 ${SOURCES} ${HEADERS} ${RESOURCES} ${UIS})
+target_link_libraries(${EXENAME} JKQTPExampleToolsLib)
+target_include_directories(${EXENAME} PRIVATE ../../lib)
+target_link_libraries(${EXENAME} ${jkqtplotter_namespace}JKQTPlotter${jkqtplotter_LIBNAME_VERSION_PART})
+
+# precomiled headers to speed up compilation
+if (JKQtPlotter_BUILD_WITH_PRECOMPILED_HEADERS)
+  target_precompile_headers(${EXENAME} REUSE_FROM jkqtptest_simpletest)
+endif (JKQtPlotter_BUILD_WITH_PRECOMPILED_HEADERS)
+
+
+# Installation
+install(TARGETS ${EXENAME} RUNTIME DESTINATION ${CMAKE_INSTALL_BINDIR})
+
+#Installation of Qt DLLs on Windows
+jkqtplotter_deployqt(${EXENAME})

examples/geo_bezier/README.md

@@ -0,0 +1,34 @@
+# Example (JKQTPlotter): Plotting Arrows {#JKQTPlotterGeometricBezier}
+
+This project shows the capabilities of JKQTPlotter to also draw arrows as geometric elements, using JKQTPGeoBezierCurve. 
+
+The source code of the main application can be found in  [`geo_bezier.cpp`](https://github.com/jkriege2/JKQtPlotter/tree/master/examples/geo_bezier/geo_bezier.cpp). First a plot is generated. Then several types of bezier curves are added to the plot and their control points shown.
+
+
+Here is an example for drawing a cubic bézier curve:
+```.cpp
+    JKQTPGeoBezierCurve* bezCubic=new JKQTPGeoBezierCurve(&plot);
+    bezCubic->setCubic(QPointF(0.25,0.25), QPointF(0.8,2.5), QPointF(3.25,0.2), QPointF(3.75,2.75));
+    bezCubic->setLineColor(QColor("maroon"));
+    bezCubic->setHeadDecoratorSizeFactor(JKQTPArrow);
+    bezCubic->setTailDecoratorSizeFactor(JKQTPArrow);
+    plot.addGraph(bezCubic);
+```
+
+Finally we also add symbols for each control point and a poly-line connecting them:
+```.cpp
+    JKQTPGeoPolyLines* l2;
+    plot.addGraph(l2=new JKQTPGeoPolyLines(&plot, bezCubic->getPoints()));
+    l2->setLineColor(QColor("darkgrey"));
+    l2->setLineWidth(1);
+    JKQTPXYScatterGraph* scatCubic=new JKQTPXYScatterGraph(&plot);
+    scatCubic->setXYColumns(plot.getDatastore()->addCopiedPoints(bezCubic->getPoints()));
+    scatCubic->setSymbolColor(QColor("blue"));
+    scatCubic->setSymbolType(JKQTPCircle);
+    plot.addGraph(scatCubic);
+  ```
+
+Here is the resulting plot:
+
+![geo_bezier](https://raw.githubusercontent.com/jkriege2/JKQtPlotter/master/doc/images/geo_bezier.png)
+

examples/geo_bezier/geo_bezier.cpp

@@ -0,0 +1,149 @@
+/** \example geo_bezier.cpp
+ * Shows how to plot bezier curves as geometric elements with JKQTPlotter
+ *
+ * \ref JKQTPlotterGeometricBezier
+ */
+
+#include "jkqtpexampleapplication.h"
+#include <QApplication>
+#include "jkqtplotter/jkqtplotter.h"
+#include "jkqtplotter/graphs/jkqtpgeolines.h"
+#include "jkqtplotter/graphs/jkqtpscatter.h"
+
+
+int main(int argc, char* argv[])
+{
+        
+    JKQTPAppSettingController highDPIController(argc, argv);
+    JKQTPExampleApplication app(argc, argv);
+
+
+    // 1. create a plotter window
+    JKQTPlotter plot;
+
+    // 2. format graph:
+    // 2.1 set the graph scales manually
+    plot.setXY(0.05,10.05,0.05,3.15);
+    // 2.2 set the asxpect ratio to 1
+    plot.getPlotter()->setMaintainAspectRatio(true);
+    plot.getPlotter()->setAspectRatio(10.05/3.05);
+    plot.getPlotter()->setMaintainAxisAspectRatio(true);
+    plot.getPlotter()->setAxisAspectRatio(10.05/3.05);
+    // 2.3 set the asxpect ratio to 1
+    plot.getXAxis()->setDrawGrid(false);
+    plot.getYAxis()->setDrawGrid(false);
+
+    auto fx1=[&](double i) { return 0.25+(3.0-i)*9.0/4.0;};
+    auto fx2=[&](double i) { return (4.0-i)*9.0/4.0;};
+
+    // 3.1 demonastrate linear bezier curve
+    JKQTPGeoBezierCurve* bezLine=new JKQTPGeoBezierCurve(&plot);
+    bezLine->setDrawMode(JKQTPGeometricPlotElement::DrawAsGraphicElement);
+    bezLine->setLine(QPointF(fx1(0),0.25), QPointF(fx2(0),2.75));
+    bezLine->setLineColor(QColor("maroon"));
+    plot.addGraph(bezLine);
+    JKQTPXYScatterGraph* scatLine=new JKQTPXYScatterGraph(&plot);
+    scatLine->setXYColumns(plot.getDatastore()->addCopiedPoints(bezLine->getPoints()));
+    scatLine->setSymbolColor(QColor("blue"));
+    scatLine->setSymbolType(JKQTPCircle);
+    plot.addGraph(scatLine);
+
+    // 3.2 demonastrate quad bezier curve
+    JKQTPGeoPolyLines* l1;
+    JKQTPGeoBezierCurve* bezQuad=new JKQTPGeoBezierCurve(&plot);
+    bezQuad->setDrawMode(JKQTPGeometricPlotElement::DrawAsGraphicElement);
+    bezQuad->setQuad(QPointF(fx1(1),0.25), QPointF(fx1(1)+0.25,2.5), QPointF(fx2(1),2.75));
+    bezQuad->setLineColor(QColor("maroon"));
+    plot.addGraph(bezQuad);
+    plot.addGraph(l1=new JKQTPGeoPolyLines(&plot, bezQuad->getPoints()));
+    l1->setLineColor(QColor("darkgrey"));
+    l1->setLineWidth(1);
+    JKQTPXYScatterGraph* scatQuad=new JKQTPXYScatterGraph(&plot);
+    scatQuad->setXYColumns(plot.getDatastore()->addCopiedPoints(bezQuad->getPoints()));
+    scatQuad->setSymbolColor(QColor("blue"));
+    scatQuad->setSymbolType(JKQTPCircle);
+    plot.addGraph(scatQuad);
+
+    // 3.3 demonastrate cubic bezier curve
+    JKQTPGeoPolyLines* l2;
+    JKQTPGeoBezierCurve* bezCubic=new JKQTPGeoBezierCurve(&plot);
+    bezCubic->setDrawMode(JKQTPGeometricPlotElement::DrawAsGraphicElement);
+    bezCubic->setCubic(QPointF(fx1(2),0.25), QPointF(fx1(2)+0.4,2.5), QPointF(fx2(2)-0.25,0.2), QPointF(fx2(2),2.75));
+    bezCubic->setLineColor(QColor("maroon"));
+    bezCubic->setHeadDecoratorStyle(JKQTPArrow);
+    bezCubic->setTailDecoratorStyle(JKQTPArrow);
+    plot.addGraph(bezCubic);
+    plot.addGraph(l2=new JKQTPGeoPolyLines(&plot, bezCubic->getPoints()));
+    l2->setLineColor(QColor("darkgrey"));
+    l2->setLineWidth(1);
+    JKQTPXYScatterGraph* scatCubic=new JKQTPXYScatterGraph(&plot);
+    scatCubic->setXYColumns(plot.getDatastore()->addCopiedPoints(bezCubic->getPoints()));
+    scatCubic->setSymbolColor(QColor("blue"));
+    scatCubic->setSymbolType(JKQTPCircle);
+    plot.addGraph(scatCubic);
+
+
+    // 3.4 demonastrate quartic bezier curve
+    JKQTPGeoPolyLines* l3;
+    JKQTPGeoBezierCurve* bezQuart=new JKQTPGeoBezierCurve(&plot);
+    bezQuart->setDrawMode(JKQTPGeometricPlotElement::DrawAsGraphicElement);
+    bezQuart->setQuartic(QPointF(fx1(3),2.25), QPointF((fx2(3)+fx1(3))/2.0,2), QPointF(fx1(3),0.75), QPointF((fx2(3)+fx1(3))/2.0,1.5), QPointF(fx2(3),0.2));
+    bezQuart->setLineColor(QColor("maroon"));
+    bezQuart->setHeadDecoratorStyle(JKQTPArrow);
+    bezQuart->setTailDecoratorStyle(JKQTPArrow);
+    plot.addGraph(bezQuart);
+    plot.addGraph(l3=new JKQTPGeoPolyLines(&plot, bezQuart->getPoints()));
+    l3->setLineColor(QColor("darkgrey"));
+    l3->setLineWidth(1);
+    JKQTPXYScatterGraph* scatQuartic=new JKQTPXYScatterGraph(&plot);
+    scatQuartic->setXYColumns(plot.getDatastore()->addCopiedPoints(bezQuart->getPoints()));
+    scatQuartic->setSymbolColor(QColor("blue"));
+    scatQuartic->setSymbolType(JKQTPCircle);
+    plot.addGraph(scatQuartic);
+
+
+
+    // 4. show plotter and make it a decent size
+    plot.show();
+    plot.resize(600/plot.devicePixelRatioF(),250/plot.devicePixelRatioF());
+
+
+    app.addExportStepFunctor([&](){
+        bezLine->setDrawMode(JKQTPGeometricPlotElement::DrawAsMathematicalCurve);
+        bezQuad->setDrawMode(JKQTPGeometricPlotElement::DrawAsMathematicalCurve);
+        bezCubic->setDrawMode(JKQTPGeometricPlotElement::DrawAsMathematicalCurve);
+        bezQuart->setDrawMode(JKQTPGeometricPlotElement::DrawAsMathematicalCurve);
+        plot.redrawPlot();
+    });
+
+    app.addExportStepFunctor([&](){
+        plot.getPlotter()->setMaintainAspectRatio(false);
+        plot.getPlotter()->setMaintainAxisAspectRatio(false);
+        plot.setXY(0.2,8.8,0.15,3.9);
+        bezLine->setDrawMode(JKQTPGeometricPlotElement::DrawAsMathematicalCurve);
+        bezQuad->setDrawMode(JKQTPGeometricPlotElement::DrawAsMathematicalCurve);
+        bezCubic->setDrawMode(JKQTPGeometricPlotElement::DrawAsMathematicalCurve);
+        bezQuart->setDrawMode(JKQTPGeometricPlotElement::DrawAsMathematicalCurve);
+        l1->setDrawMode(JKQTPGeometricPlotElement::DrawAsMathematicalCurve);
+        l2->setDrawMode(JKQTPGeometricPlotElement::DrawAsMathematicalCurve);
+        l3->setDrawMode(JKQTPGeometricPlotElement::DrawAsMathematicalCurve);
+        plot.getXAxis()->setLogAxis(true);
+        plot.getYAxis()->setLogAxis(true);
+        plot.redrawPlot();
+    });
+    app.addExportStepFunctor([&](){
+        plot.getPlotter()->setMaintainAspectRatio(false);
+        plot.getPlotter()->setMaintainAxisAspectRatio(false);
+        plot.getXAxis()->setLogAxis(true);
+        plot.getYAxis()->setLogAxis(true);
+        bezLine->setDrawMode(JKQTPGeometricPlotElement::DrawAsGraphicElement);
+        bezQuad->setDrawMode(JKQTPGeometricPlotElement::DrawAsGraphicElement);
+        bezCubic->setDrawMode(JKQTPGeometricPlotElement::DrawAsGraphicElement);
+        bezQuart->setDrawMode(JKQTPGeometricPlotElement::DrawAsGraphicElement);
+        l1->setDrawMode(JKQTPGeometricPlotElement::DrawAsGraphicElement);
+        l2->setDrawMode(JKQTPGeometricPlotElement::DrawAsGraphicElement);
+        l3->setDrawMode(JKQTPGeometricPlotElement::DrawAsGraphicElement);
+        plot.redrawPlot();
+    });
+    return app.exec();
+}

lib/jkqtcommon/jkqtpmathtools.h

@@ -529,6 +529,7 @@ inline double jkqtp_polyEval(double x, PolyItP firstP, PolyItP lastP) {
     return v;
 }
 
+
 /*! \brief a C++-functor, which evaluates a polynomial
     \ingroup jkqtptools_math_basic
 */
@@ -578,12 +579,79 @@ QString jkqtp_polynomialModel2Latex(PolyItP firstP, PolyItP lastP) {
     return str;
 }
 
+
+
+/*! \brief Calculates a factorial \f$ n!=n\cdot(n-1)\cdot(n-2)\cdot...\cdot2\cdot1 \f$
+    \ingroup jkqtptools_math_basic
+
+    */
+template <class T=int>
+#ifdef __cpp_consteval
+consteval
+#else
+constexpr
+#endif
+    T jkqtp_factorial(T n) {
+    T result = 1;
+    for (T i =1; i <= n; i++){
+        result = result*i;
+    }
+    return result;
+}
+
+
+/*! \brief Calculates a combination \f$ \left(\stackrel{n}{k}\right)=\frac{n!}{k!\cdot(n-k)!} \f$
+    \ingroup jkqtptools_math_basic
+
+    */
+template <class T=int>
+#ifdef __cpp_consteval
+consteval
+#else
+constexpr
+#endif
+    T jkqtp_combination(T n, T k) {
+    if (n==k) return 1;
+    if (k==0) return 1;
+    if (k>n) return 0;
+    return jkqtp_factorial(n)/(jkqtp_factorial(k)*jkqtp_factorial(n-k));
+}
+
+
+
+/*! \brief creates a functor that evaluates the Bernstein polynomial \f$ B_i^n(t):=\left(\stackrel{n}{i}\right)\cdot t^i\cdot(1-t)^{n-1},\ \ \ \ 0\leq i\leq n \f$
+    \ingroup jkqtptools_math_basic
+
+    */
+template <class T>
+std::function<T(T)> jkqtp_makeBernstein(int n, int i){
+    if (n==0 && i==0) return [=](T t) { return 1; };
+    if (n==1 && i==0) return [=](T t) { return (1.0-t); };
+    if (n==1 && i==1) return [=](T t) { return t; };
+    if (n==2 && i==0) return [=](T t) { return jkqtp_sqr(1.0-t); };
+    if (n==2 && i==1) return [=](T t) { return T(2.0)*t*(1.0-t); };
+    if (n==2 && i==2) return [=](T t) { return jkqtp_sqr(t); };
+    if (n==3 && i==0) return [=](T t) { return T(1)*jkqtp_cube(1.0-t); };
+    if (n==3 && i==1) return [=](T t) { return T(3)*t*jkqtp_sqr(1.0-t); };
+    if (n==3 && i==2) return [=](T t) { return T(3)*jkqtp_sqr(t)*(1.0-t); };
+    if (n==3 && i==3) return [=](T t) { return T(1)*jkqtp_cube(t); };
+    if (n==4 && i==0) return [=](T t) { return T(1)*jkqtp_pow4(1.0-t); };
+    if (n==4 && i==1) return [=](T t) { return T(4)*t*jkqtp_cube(1.0-t); };
+    if (n==4 && i==2) return [=](T t) { return T(6)*jkqtp_sqr(t)*jkqtp_sqr(1.0-t); };
+    if (n==4 && i==3) return [=](T t) { return T(4)*jkqtp_cube(t)*(1.0-t); };
+    if (n==4 && i==4) return [=](T t) { return T(1)*jkqtp_pow4(t); };
+    const T fac=jkqtp_combination<int64_t>(n,i);
+    return [=](T t) { return fac*pow(t,i)*pow(1.0-t,n-i); };
+}
+
+
 /*! \brief calculate the grwates common divisor (GCD) of \a a and \a b
     \ingroup jkqtptools_math_basic
 
     */
 JKQTCOMMON_LIB_EXPORT uint64_t jkqtp_gcd(uint64_t a, uint64_t b);
 
+
 /*! \brief calculates numeratur integer part \a intpart , \a num and denominator \a denom of a fraction, representing a given floating-point number \a input
     \ingroup jkqtptools_math_basic
 

lib/jkqtplotter/graphs/jkqtpgeolines.cpp

@@ -521,6 +521,8 @@ JKQTPGeoPolyLines::JKQTPGeoPolyLines(JKQTBasePlotter* parent, const QVector<QPoi
     JKQTPGeoBaseDecoratedLine(parent)
 {
     this->points=points;
+    setHeadDecoratorStyle(JKQTPNoDecorator);
+    setTailDecoratorStyle(JKQTPNoDecorator);
 }
 
 JKQTPGeoPolyLines::JKQTPGeoPolyLines(JKQTPlotter* parent, const QVector<QPointF>& points):
@@ -845,3 +847,226 @@ bool JKQTPGeoArc::getYMinMax(double& miny, double& maxy, double& smallestGreater
 
 
 
+
+JKQTPGeoBezierCurve::JKQTPGeoBezierCurve(JKQTBasePlotter *parent, const QPointF &start, const QPointF &control1, const QPointF &end):
+    JKQTPGeoBaseDecoratedLine(parent)
+{
+    setQuad(start,control1,end);
+    setHeadDecoratorStyle(JKQTPNoDecorator);
+    setTailDecoratorStyle(JKQTPNoDecorator);
+}
+
+JKQTPGeoBezierCurve::JKQTPGeoBezierCurve(JKQTPlotter *parent, const QPointF &start, const QPointF &control1, const QPointF &end):
+    JKQTPGeoBezierCurve(parent->getPlotter(),start,control1,end)
+{
+
+}
+
+JKQTPGeoBezierCurve::JKQTPGeoBezierCurve(JKQTBasePlotter *parent, const QPointF &start, const QPointF &control1, const QPointF &control2, const QPointF &end):
+    JKQTPGeoBaseDecoratedLine(parent)
+{
+    setCubic(start,control1,control2,end);
+    setHeadDecoratorStyle(JKQTPNoDecorator);
+    setTailDecoratorStyle(JKQTPNoDecorator);
+}
+
+JKQTPGeoBezierCurve::JKQTPGeoBezierCurve(JKQTPlotter *parent, const QPointF &start, const QPointF &control1, const QPointF &control2, const QPointF &end):
+    JKQTPGeoBezierCurve(parent->getPlotter(),start,control1,control2,end)
+{
+
+}
+
+JKQTPGeoBezierCurve::JKQTPGeoBezierCurve(JKQTBasePlotter *parent):
+    JKQTPGeoBaseDecoratedLine(parent)
+{
+    setHeadDecoratorStyle(JKQTPNoDecorator);
+    setTailDecoratorStyle(JKQTPNoDecorator);
+}
+
+JKQTPGeoBezierCurve::JKQTPGeoBezierCurve(JKQTPlotter *parent):
+    JKQTPGeoBezierCurve(parent->getPlotter())
+{
+
+}
+
+bool JKQTPGeoBezierCurve::getXMinMax(double& minx, double& maxx, double& smallestGreaterZero) {
+    minx=0;
+    maxx=0;
+    smallestGreaterZero=0;
+    if (points.size()>0) {
+        minx=points[0].x();
+        maxx=points[0].x();
+        for (int i=1; i<points.size(); i++) {
+            double x=points[i].x();
+            if (x>maxx) maxx=x;
+            if (x<minx) minx=x;
+            double xvsgz;
+            xvsgz=x; SmallestGreaterZeroCompare_xvsgz();
+        }
+        return true;
+    }
+    return false;
+    //qDebug()<<"getXMinMax"<<minx<<maxx;
+}
+
+bool JKQTPGeoBezierCurve::getYMinMax(double& miny, double& maxy, double& smallestGreaterZero) {
+    miny=0;
+    maxy=0;
+    smallestGreaterZero=0;
+    if (points.size()>0) {
+        miny=points[0].y();
+        maxy=points[0].y();
+        for (int i=1; i<points.size(); i++) {
+            double y=points[i].y();
+            if (y>maxy) maxy=y;
+            if (y<miny) miny=y;
+            double xvsgz;
+            xvsgz=y; SmallestGreaterZeroCompare_xvsgz();
+        }
+        return true;
+    }
+    return false;
+    //qDebug()<<"getYMinMax"<<miny<<maxy;
+}
+
+void JKQTPGeoBezierCurve::draw(JKQTPEnhancedPainter& painter) {
+    clearHitTestData();
+    if (points.size()>=2) {
+        reserveHitTestData(points.size());
+
+        double angle1, angle2;
+        QPointF xx1, xx2;
+        bool doDrawDecorator=false;
+        painter.save(); auto __finalpaint=JKQTPFinally([&painter]() {painter.restore();});
+        painter.setPen(getLinePen(painter, parent));
+        painter.setBrush(Qt::NoBrush);
+        if ((points.size()<=4) && ((getDrawMode()==DrawAsGraphicElement) || (getXAxis()->isLinearAxis() && getYAxis()->isLinearAxis()))) {
+            const QVector<QPointF> path=transform(points);
+            angle1=atan2(path[1].y()-path[0].y(), path[1].x()-path[0].x());
+            angle2=atan2(path[path.size()-2].y()-path[path.size()-1].y(), path[path.size()-2].x()-path[path.size()-1].x());
+            xx1=path[0];
+            xx2=path[path.size()-1];
+            QPainterPath ppath;
+            if (path.size()>0) ppath.moveTo(path[0]);
+            if (path.size()==2) ppath.lineTo(path[1]);
+            else if (path.size()==3) ppath.quadTo(path[1], path[2]);
+            else if (path.size()==4) ppath.cubicTo(path[1], path[2], path[3]);
+
+            // draw corrected line
+            if (path.size()>0) {
+                painter.drawPath(ppath);
+                doDrawDecorator=true;
+            }
+        } else {
+            if (points.size()>1) {
+                std::function<QPointF(double)> plotfunc;
+                const auto B2_0=jkqtp_makeBernstein<double>(2,0);
+                const auto B2_1=jkqtp_makeBernstein<double>(2,1);
+                const auto B2_2=jkqtp_makeBernstein<double>(2,2);
+                const auto B3_0=jkqtp_makeBernstein<double>(3,0);
+                const auto B3_1=jkqtp_makeBernstein<double>(3,1);
+                const auto B3_2=jkqtp_makeBernstein<double>(3,2);
+                const auto B3_3=jkqtp_makeBernstein<double>(3,3);
+                const auto B4_0=jkqtp_makeBernstein<double>(4,0);
+                const auto B4_1=jkqtp_makeBernstein<double>(4,1);
+                const auto B4_2=jkqtp_makeBernstein<double>(4,2);
+                const auto B4_3=jkqtp_makeBernstein<double>(4,3);
+                const auto B4_4=jkqtp_makeBernstein<double>(4,4);
+                if (points.size()==2) plotfunc=[&](double t) -> QPointF { return points[0]+t*(points[1]-points[0]); };
+                else if (points.size()==3) plotfunc=[&](double t) -> QPointF { return points[0]*B2_0(t)+points[1]*B2_1(t)+points[2]*B2_2(t); };
+                else if (points.size()==4) plotfunc=[&](double t) -> QPointF { return points[0]*B3_0(t)+points[1]*B3_1(t)+points[2]*B3_2(t)+points[3]*B3_3(t); };
+                else if (points.size()==5) plotfunc=[&](double t) -> QPointF { return points[0]*B4_0(t)+points[1]*B4_1(t)+points[2]*B4_2(t)+points[3]*B4_3(t)+points[4]*B4_4(t); };
+
+                if (plotfunc) {
+                    std::function<QPointF(double)> fTransformedFunc= std::bind([plotfunc](const JKQTPPlotElement* plot, double t) -> QPointF { return plot->transform(plotfunc(t)); }, this, std::placeholders::_1);
+                    const int minSamples=10;
+                    const int maxRefinementDegree=5;
+                    const double slopeTolerance=0.005;
+                    const int minPixelPerSample=32;
+                    const double maxConsecutiveAngleDegree=0.2;
+                    JKQTPAdaptiveFunctionGraphEvaluator evaluator(fTransformedFunc, minSamples, maxRefinementDegree, slopeTolerance, minPixelPerSample);
+                    QVector<QPointF> data=evaluator.evaluate(0,1);
+                    data=JKQTPSimplyfyLineSegemnts(data, maxConsecutiveAngleDegree);
+
+                    painter.drawPolylineFast(data.data(), data.size());
+                    doDrawDecorator=true;
+                }
+            }
+        }
+
+
+        // potentially draw line-end decorators/arrows
+        if (doDrawDecorator) {
+            painter.setBrush(getLineColor());
+            JKQTPPlotLineDecorator(painter, xx1.x(), xx1.y(), angle1, getTailDecoratorStyle(), calcTailDecoratorSize(getLinePen(painter, getParent()).widthF()));
+            JKQTPPlotLineDecorator(painter, xx2.x(), xx2.y(), angle2, getHeadDecoratorStyle(), calcHeadDecoratorSize(getLinePen(painter, getParent()).widthF()));
+        }
+
+
+        for (const auto& p:points) {
+            addHitTestData(p.x(), p.y());
+        }
+
+    }
+}
+void JKQTPGeoBezierCurve::setPoints(const QVector<QPointF> &__value)
+{
+    const int maxPoints=5;
+    if (points.size()<2 || points.size()>maxPoints) throw std::runtime_error("JKQTPGeoBezierCurve only supports 2, 3 ... or "+std::to_string(maxPoints)+" points, but you supplied "+std::to_string(__value.size())+"!");
+    points=__value;
+}
+
+QVector<QPointF> JKQTPGeoBezierCurve::getPoints() const
+{
+    return points;
+}
+
+QPointF JKQTPGeoBezierCurve::getStart() const
+{
+    return points[0];
+}
+
+QPointF JKQTPGeoBezierCurve::getEnd() const
+{
+    return points.last();
+}
+
+QPointF JKQTPGeoBezierCurve::getControl1() const
+{
+    return points[1];
+}
+
+QPointF JKQTPGeoBezierCurve::getControl2() const
+{
+    return points[2];
+}
+
+void JKQTPGeoBezierCurve::setLine(const QPointF &start, const QPointF &end)
+{
+    points={start,end};
+}
+
+void JKQTPGeoBezierCurve::setQuad(const QPointF &start, const QPointF &control1, const QPointF &end)
+{
+    points={start,control1,end};
+}
+
+void JKQTPGeoBezierCurve::setCubic(const QPointF &start, const QPointF &control1, const QPointF &control2, const QPointF &end)
+{
+    points={start,control1,control2,end};
+}
+
+void JKQTPGeoBezierCurve::setQuartic(const QPointF &start, const QPointF &control1, const QPointF &control2, const QPointF &control3, const QPointF &end)
+{
+    points={start,control1,control2,control3,end};
+}
+
+int JKQTPGeoBezierCurve::getDegree() const
+{
+    return points.size()-1;
+}
+
+int JKQTPGeoBezierCurve::getNumberOfCOntrolPoints() const
+{
+    return points.size();
+}

lib/jkqtplotter/graphs/jkqtpgeolines.h

@@ -452,6 +452,127 @@ class JKQTPLOTTER_LIB_EXPORT JKQTPGeoPolyLines: public JKQTPGeoBaseDecoratedLine
 };
 
 
+
+/** \brief This JKQTPGeometricPlotElement is used to draw a bezier curve
+ *  \ingroup jkqtplotter_geoplots
+ *
+ *  \image html JKQTPlotterGeometricBezierGraphic.png "drawn with JKQTPGeometricPlotElement::DrawMode::DrawAsGraphicElement"
+ *
+ *  \see \ref JKQTPlotterGeometricBezier, JKQTPGeoBaseDecoratedLine
+ *
+ *  \section JKQTPGeoBezierCurveDrawMode DrawMode for JKQTPGeoBezierCurve
+ *  This class support JKQTPGeometricPlotElement::DrawMode::DrawAsMathematicalCurve , which will only have a significant effect with logarithmic axes.
+ *  THe image above is the default JKQTPGeometricPlotElement::DrawMode::DrawAsGraphicElement on a linear axis.
+ *
+ *  On logarithmic axes (x&y) the two modes draw very different shapes:
+ *
+ *  \image html JKQTPlotterGeometricBezierLogMath.png "drawn with JKQTPGeometricPlotElement::DrawMode::DrawAsMathematicalCurve"
+ *  \image html JKQTPlotterGeometricBezierLogGraphic.png "drawn with JKQTPGeometricPlotElement::DrawMode::DrawAsGraphicElement"
+ *
+ *  For DrawAsGraphicElement only the control points are converted to screen-coordinates, but drawing takes place in the (linear) screen-system.
+ *  For DrawAsMathematicalCurve drawing is done in the log-coordinate system.
+ *
+ *  \section JKQTPGeoBezierCurveDecorators Line-End Decorators for JKQTPGeoBezierCurve
+ *
+ *  You can also activate line-end decorators (aka arrows) for this poly-line, by using code like this:
+ *  \code
+ *      bezier->setHeadDecoratorStyle(JKQTPFilledDoubleArrow);
+ *      bezier->setTailDecoratorStyle(JKQTPCircleDecorator);
+ *  \endcode
+ *
+ *  \see \ref JKQTPlotterGeometricBezier
+ *
+ */
+class JKQTPLOTTER_LIB_EXPORT JKQTPGeoBezierCurve: public JKQTPGeoBaseDecoratedLine {
+    Q_OBJECT
+public:
+    /** \brief class constructor with start, end and one control point (i.e. a quadratic bezier curve)
+         *
+         *  \param parent the parent plotter object
+         *  \param points points on the polygon
+         */
+    JKQTPGeoBezierCurve(JKQTBasePlotter* parent, const QPointF& start, const QPointF& control1, const QPointF& end);
+    /** \brief class constructor with start, end and one control point (i.e. a quadratic bezier curve)
+         *
+         *  \param parent the parent plotter object
+         *  \param points points on the polygon
+         */
+    JKQTPGeoBezierCurve(JKQTPlotter* parent, const QPointF& start, const QPointF& control1, const QPointF& end);
+    /** \brief class constructor with start, end and two control points (i.e. a cubic bezier curve)
+         *
+         *  \param parent the parent plotter object
+         *  \param points points on the polygon
+         */
+    JKQTPGeoBezierCurve(JKQTBasePlotter* parent, const QPointF& start, const QPointF& control1, const QPointF& control2, const QPointF& end);
+    /** \brief class constructor with start, end and two control points (i.e. a cubic bezier curve)
+         *
+         *  \param parent the parent plotter object
+         *  \param points points on the polygon
+         */
+    JKQTPGeoBezierCurve(JKQTPlotter* parent, const QPointF& start, const QPointF& control1, const QPointF& control2, const QPointF& end);
+    /** \brief class constructor
+         *
+         *  \param parent the parent plotter object
+         */
+    JKQTPGeoBezierCurve(JKQTBasePlotter* parent);
+    /** \brief class constructor
+         *
+         *  \param parent the parent plotter object
+         */
+    JKQTPGeoBezierCurve(JKQTPlotter* parent);
+
+
+
+    /** \copydoc JKQTPPlotElement::getXMinMax() */
+    virtual bool getXMinMax(double& minx, double& maxx, double& smallestGreaterZero) override;
+    /** \copydoc JKQTPPlotElement::getYMinMax() */
+    virtual bool getYMinMax(double& miny, double& maxy, double& smallestGreaterZero) override;
+
+    /** \brief plots the graph to the plotter object specified as parent
+         *
+         * \note This function support JKQTPGeometricPlotElement::DrawMode::DrawAsMathematicalCurve. If set,
+         *       and non-linear axes are chosen, the points of the poly-line will be possibly
+         *       connected by curves, instead of straight lines. In the mode
+         *       JKQTPGeometricPlotElement::DrawMode::DrawAsGraphicElement the points are connected by straight
+         *       lines, independent of the linearity or non-linearity of the coordinate axes.
+         */
+    virtual void draw(JKQTPEnhancedPainter& painter) override;
+
+    /** \copydoc points */
+    void setPoints(const QVector<QPointF> & __value);
+    /** \copydoc points */
+    QVector<QPointF> getPoints() const;
+
+    /** \brief get the start point of the curve */
+    QPointF getStart()const;
+    /** \brief get the end point of the curve */
+    QPointF getEnd()const;
+    /** \brief get the control point 1 of the curve */
+    QPointF getControl1()const;
+    /** \brief get the control point 2 of the curve */
+    QPointF getControl2()const;
+    /** \brief set a linear bezier curve (2 control points) */
+    void setLine(const QPointF& start, const QPointF& end);
+    /** \brief set a quadratic bezier curve (3 control points) */
+    void setQuad(const QPointF& start, const QPointF& control1, const QPointF& end);
+    /** \brief set a cubic bezier curve (4 control points) */
+    void setCubic(const QPointF& start, const QPointF& control1, const QPointF& control2, const QPointF& end);
+    /** \brief set a cubic bezier curve (5 control points) */
+    void setQuartic(const QPointF& start, const QPointF& control1, const QPointF& control2, const QPointF& control3, const QPointF& end);
+    /** \brief get the degree of the curve (number of points -1) */
+    int getDegree() const;
+    /** \brief get the number of control points (including start and end) */
+    int getNumberOfCOntrolPoints() const;
+
+protected:
+    /** \brief list with all control points of the bezier curve
+     *
+     *  \note This class supports at most 4 points are alllowed
+     */
+    QVector<QPointF> points;
+};
+
+
 /** \brief This JKQTPGeometricPlotElement is used to draw an arc
  *  \ingroup jkqtplotter_geoplots
  *

lib/jkqtplotter/jkqtpdatastorage.cpp

@@ -714,6 +714,119 @@ void JKQTPDatastore::copyColumnData(size_t toColumn, size_t fromColumn)
     setColumnImageWidth(toColumn, getColumnImageWidth(static_cast<int>(fromColumn)));
 }
 
+////////////////////////////////////////////////////////////////////////////////////////////////
+std::pair<size_t, size_t> JKQTPDatastore::addCopiedPoints(const std::list<QPoint> &points, const QString &namex, const QString &namey)
+{
+    const auto cx=addColumn(points.size(),namex);
+    const auto cy=addColumn(points.size(),namey);
+    int i=0;
+    for (const auto& p: points) {
+        set(cx, i, p.x());
+        set(cy, i, p.y());
+        i++;
+    }
+    return {cx,cy};
+}
+
+////////////////////////////////////////////////////////////////////////////////////////////////
+std::pair<size_t, size_t> JKQTPDatastore::addCopiedPoints(const std::list<QPointF> &points, const QString &namex, const QString &namey)
+{
+    const auto cx=addColumn(points.size(),namex);
+    const auto cy=addColumn(points.size(),namey);
+    int i=0;
+    for (const auto& p: points) {
+        set(cx, i, p.x());
+        set(cy, i, p.y());
+        i++;
+    }
+    return {cx,cy};
+}
+
+////////////////////////////////////////////////////////////////////////////////////////////////
+std::pair<size_t, size_t> JKQTPDatastore::addCopiedPoints(const std::vector<QPoint> &points, const QString &namex, const QString &namey)
+{
+    const auto cx=addColumn(points.size(),namex);
+    const auto cy=addColumn(points.size(),namey);
+    int i=0;
+    for (const auto& p: points) {
+        set(cx, i, p.x());
+        set(cy, i, p.y());
+        i++;
+    }
+    return {cx,cy};
+}
+
+////////////////////////////////////////////////////////////////////////////////////////////////
+std::pair<size_t, size_t> JKQTPDatastore::addCopiedPoints(const std::vector<QPointF> &points, const QString &namex, const QString &namey)
+{
+    const auto cx=addColumn(points.size(),namex);
+    const auto cy=addColumn(points.size(),namey);
+    int i=0;
+    for (const auto& p: points) {
+        set(cx, i, p.x());
+        set(cy, i, p.y());
+        i++;
+    }
+    return {cx,cy};
+}
+
+////////////////////////////////////////////////////////////////////////////////////////////////
+std::pair<size_t, size_t> JKQTPDatastore::addCopiedPoints(const QList<QPoint> &points, const QString &namex, const QString &namey)
+{
+    const auto cx=addColumn(points.size(),namex);
+    const auto cy=addColumn(points.size(),namey);
+    int i=0;
+    for (const auto& p: points) {
+        set(cx, i, p.x());
+        set(cy, i, p.y());
+        i++;
+    }
+    return {cx,cy};
+}
+
+////////////////////////////////////////////////////////////////////////////////////////////////
+std::pair<size_t, size_t> JKQTPDatastore::addCopiedPoints(const QList<QPointF> &points, const QString &namex, const QString &namey)
+{
+    const auto cx=addColumn(points.size(),namex);
+    const auto cy=addColumn(points.size(),namey);
+    int i=0;
+    for (const auto& p: points) {
+        set(cx, i, p.x());
+        set(cy, i, p.y());
+        i++;
+    }
+    return {cx,cy};
+}
+
+#if QT_VERSION<QT_VERSION_CHECK(6,0,0)
+////////////////////////////////////////////////////////////////////////////////////////////////
+std::pair<size_t, size_t> JKQTPDatastore::addCopiedPoints(const QVector<QPoint> &points, const QString &namex, const QString &namey)
+{
+    const auto cx=addColumn(points.size(),namex);
+    const auto cy=addColumn(points.size(),namey);
+    int i=0;
+    for (const auto& p: points) {
+        set(cx, i, p.x());
+        set(cy, i, p.y());
+        i++;
+    }
+    return {cx,cy};
+}
+
+////////////////////////////////////////////////////////////////////////////////////////////////
+std::pair<size_t, size_t> JKQTPDatastore::addCopiedPoints(const QVector<QPointF> &points, const QString &namex, const QString &namey)
+{
+    const auto cx=addColumn(points.size(),namex);
+    const auto cy=addColumn(points.size(),namey);
+    int i=0;
+    for (const auto& p: points) {
+        set(cx, i, p.x());
+        set(cy, i, p.y());
+        i++;
+    }
+    return {cx,cy};
+}
+#endif
 
 ////////////////////////////////////////////////////////////////////////////////////////////////
 size_t JKQTPDatastore::addLinearColumn(size_t rows, double start, double end, const QString& name) {

lib/jkqtplotter/jkqtpdatastorage.h

@@ -824,6 +824,25 @@ class JKQTPLOTTER_LIB_EXPORT JKQTPDatastore{
 
 
 
+        /** \brief add two columns to the datastore. They will be filled with the values from \a points (first column: x-value, second column: y-value)
+         *
+         *  \param points list of datapoints to add
+         *  \param namex name for the column with the x-values
+         *  \param namey name for the column with the y-values
+         *  \return the IDs of the newly created column
+         *
+         */
+        std::pair<size_t,size_t> addCopiedPoints(const QList<QPointF>& points, const QString& namex=QString(""), const QString &namey=QString(""));
+        std::pair<size_t,size_t> addCopiedPoints(const QList<QPoint>& points, const QString& namex=QString(""), const QString &namey=QString(""));
+#if QT_VERSION<QT_VERSION_CHECK(6,0,0)
+        std::pair<size_t,size_t> addCopiedPoints(const QVector<QPointF>& points, const QString& namex=QString(""), const QString &namey=QString(""));
+        std::pair<size_t,size_t> addCopiedPoints(const QVector<QPoint>& points, const QString& namex=QString(""), const QString &namey=QString(""));
+#endif
+        std::pair<size_t,size_t> addCopiedPoints(const std::vector<QPointF>& points, const QString& namex=QString(""), const QString &namey=QString(""));
+        std::pair<size_t,size_t> addCopiedPoints(const std::vector<QPoint>& points, const QString& namex=QString(""), const QString &namey=QString(""));
+        std::pair<size_t,size_t> addCopiedPoints(const std::list<QPointF>& points, const QString& namex=QString(""), const QString &namey=QString(""));
+        std::pair<size_t,size_t> addCopiedPoints(const std::list<QPoint>& points, const QString& namex=QString(""), const QString &namey=QString(""));
+
         /** \brief add one column to the datastore. It will be filled with the values from \a first ... \a last
          *
          *  \tparam TIterator a standard C++ iterator