acoustics.html

<style>

</style>

<div id="fig_el124261401680596647209469156260"></div>
<script>
function mpld3_load_lib(url, callback){
  var s = document.createElement('script');
  s.src = url;
  s.async = true;
  s.onreadystatechange = s.onload = callback;
  s.onerror = function(){console.warn("failed to load library " + url);};
  document.getElementsByTagName("head")[0].appendChild(s);
}

if(typeof(mpld3) !== "undefined" && mpld3._mpld3IsLoaded){
   // already loaded: just create the figure
   !function(mpld3){
       
    // init custom PPLane plugin
    mpld3.register_plugin("drag", PPlanePlugin);
    PPlanePlugin.prototype = Object.create(mpld3.Plugin.prototype);
    PPlanePlugin.prototype.constructor = PPlanePlugin;
    PPlanePlugin.prototype.requiredProps = ["id", "idmpoint", 
                                            "idlinesla", "idlineslb", "idlinesra", "idlinesrb",  
                                            "idqlm", "idqmm", "idqrm", "idqone", "idqtwo", 
                                            "idrl0", "idrl1", "idrr0", "idrr1"];
    PPlanePlugin.prototype.defaultProps = {}
    function PPlanePlugin(fig, props){
        mpld3.Plugin.call(this, fig, props);
        mpld3.insert_css("#" + fig.figid + " path.dragging",
                         {"fill-opacity": "1.0 !important",
                          "stroke-opacity": "1.0 !important"});
    };

    // Call draw function, this function is being looped all the time
    PPlanePlugin.prototype.draw = function(){
        // Get elements into script variables
        var obj = mpld3.get_element(this.props.id);
        var midpoint = mpld3.get_element(this.props.idmpoint);
        var linesla = mpld3.get_element(this.props.idlinesla);
        var lineslb = mpld3.get_element(this.props.idlineslb);
        var linesra = mpld3.get_element(this.props.idlinesra);
        var linesrb = mpld3.get_element(this.props.idlinesrb);
        var qlm = mpld3.get_element(this.props.idqlm);
        var qmm = mpld3.get_element(this.props.idqmm);
        var qrm = mpld3.get_element(this.props.idqrm);
        var qone = mpld3.get_element(this.props.idqone);
        var qtwo = mpld3.get_element(this.props.idqtwo);
        var rl0 = this.props.idrl0;
        var rl1 = this.props.idrl1;
        var rr0 = this.props.idrr0;
        var rr1 = this.props.idrr1;
        
        // Set initial conditions for javascript calculations
        var qleft = obj.offsets[0];
        var qright = obj.offsets[1];
        var qmid = midpoint.offsets[0];
        var off = 13;
        // Calculate slopes for eigenlines
        var ml = rl1/rl0;
        var mr = rr1/rr0;
        
        // Main d3 drag function
        var drag = d3.behavior.drag()
            .origin(function(d) { return {x:obj.ax.x(d[0]),
                                          y:obj.ax.y(d[1])}; })                              
            .on("dragstart", dragstarted)
            .on("drag", dragged)
            .on("dragend", dragended);
    
        // Set elements of ql and qr points and call main drag function
        obj.elements()
           .data(obj.offsets)
           .style("cursor", "default")
           .call(drag);      

        // Begin drag function
        function dragstarted(d) {
          d3.event.sourceEvent.stopPropagation();
          d3.select(this).classed("dragging", true);
        }
    
        // The drag function called while dragging is happening (meat of code here)
        function dragged(d,i) {
          // Convert mouse coordinates in drag event (d3.event) to python coordinates d
          d[0] = obj.ax.x.invert(d3.event.x);
          d[1] = obj.ax.y.invert(d3.event.y);             
          // Move ql and qr stored in obj (they have been selected in drag)
          d3.select(this)
            .attr("transform", "translate(" + [d3.event.x, d3.event.y] + ")");
          // If obj corresponds to ql, move all the other left elements 
          if (i==0){
              // Move text marker
              qlm.elements().transition().duration(1)
                  .attr("transform", "translate(" + [d3.event.x + off, d3.event.y + off] + ")");
                  
              // Move eigenlines
              for (var ii=0; ii<2; ii++) {
                linesla.data[ii][1] = ml*(linesla.data[ii][0] - d[0]) + d[1];
                lineslb.data[ii][1] = mr*(lineslb.data[ii][0] - d[0]) + d[1]; }
                
              // In script calculations of middle state
              qleft = [d[0], d[1]];
              var det = rl0*rr1 - rr0*rl1;
              var alphal = (rr1*(qright[0] - qleft[0]) - rr0*(qright[1] - qleft[1]))/det
              qmid[0] = qleft[0] + alphal*rl0;
              qmid[1] = qleft[1] + alphal*rl1;
              var xx = obj.ax.x(qmid[0]);
              var yy = obj.ax.y(qmid[1]); 
             
                }
          // if element corresponds to qr
          else {
              // Move text marker
              qrm.elements().transition().duration(1)
                  .attr("transform", "translate(" + [d3.event.x + off, d3.event.y + off] + ")");
                  
              // Move eigenlines
              for (var ii=0; ii<2; ii++) {
                linesra.data[ii][1] = ml*(linesra.data[ii][0] - d[0]) + d[1];
                linesrb.data[ii][1] = mr*(linesrb.data[ii][0] - d[0]) + d[1]; }
                
              // In script calculations of middle state    
              qright = [d[0], d[1]];
              var det = rl0*rr1 - rr0*rl1;
              var alphal = (rr1*(qright[0] - qleft[0]) - rr0*(qright[1] - qleft[1]))/det
              qmid[0] = qleft[0] + alphal*rl0;
              qmid[1] = qleft[1] + alphal*rl1;
              var xx = obj.ax.x(qmid[0]);
              var yy = obj.ax.y(qmid[1]);
                }
              // Update middle state point and marker position
              midpoint.elements().transition().duration(5)
                .attr("transform", "translate(" + [xx, yy] + ")");
              qmm.elements().transition().duration(5)
                .attr("transform", "translate(" + [xx + 0.7*off, yy + 0.7*off] + ")"); 
                
              // Update eigenlines
              linesla.elements().transition().duration(5)
                  .attr("d", linesla.datafunc(linesla.data));
              lineslb.elements().transition().duration(5)
                  .attr("d", lineslb.datafunc(lineslb.data));
              linesra.elements().transition().duration(5)
                  .attr("d", linesra.datafunc(linesra.data));
              linesrb.elements().transition().duration(5)
                  .attr("d", linesrb.datafunc(linesrb.data));
                
              // Update subplots of q1 and q2
              qone.data[0][1] = qleft[0];
              qone.data[1][1] = qleft[0];
              qone.data[2][1] = qmid[0];
              qone.data[3][1] = qmid[0];
              qone.data[4][1] = qright[0];
              qone.data[5][1] = qright[0];
              qtwo.data[0][2] = qleft[1];
              qtwo.data[1][2] = qleft[1];
              qtwo.data[2][2] = qmid[1];
              qtwo.data[3][2] = qmid[1];
              qtwo.data[4][2] = qright[1];
              qtwo.data[5][2] = qright[1];
              qone.elements().transition().duration(5)
                .attr("d", qone.datafunc(qone.data));
              qtwo.elements().transition().duration(5)
                .attr("d", qtwo.datafunc(qtwo.data));  
        }
        // End dragging
        function dragended(d) {
          d3.select(this).classed("dragging", false);
        }
    }
    mpld3.register_plugin("drag", PPlanePlugin); 
    
       mpld3.draw_figure("fig_el124261401680596647209469156260", {"axes": [{"xlim": [-5.0, 5.0], "yscale": "linear", "axesbg": "#FFFFFF", "texts": [{"v_baseline": "hanging", "h_anchor": "middle", "color": "#000000", "text": "Pressure", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 12.0, "position": [0.5, -0.085714285714285715], "rotation": -0.0, "id": "el12426140168059188176"}, {"v_baseline": "auto", "h_anchor": "middle", "color": "#000000", "text": "Velocity", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 12.0, "position": [-0.1064950980392157, 0.5], "rotation": -90.0, "id": "el12426140168059273360"}, {"v_baseline": "auto", "h_anchor": "middle", "color": "#000000", "text": "Phase Plane", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 18.0, "position": [0.5, 1.0198412698412698], "rotation": -0.0, "id": "el12426140168058468688"}], "zoomable": true, "images": [], "xdomain": [-5.0, 5.0], "ylim": [-5.0, 5.0], "paths": [], "sharey": [], "sharex": [], 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"h_anchor": "middle", "color": "#000000", "text": "x", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 12.0, "position": [0.5, -0.085714285714285715], "rotation": -0.0, "id": "el12426140168058760592"}, {"v_baseline": "auto", "h_anchor": "middle", "color": "#000000", "text": "Pressure", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 18.0, "position": [0.5, 1.0198412698412698], "rotation": -0.0, "id": "el12426140168058296016"}], "zoomable": true, "images": [], "xdomain": [-5.0, 5.0], "ylim": [-5.0, 5.0], "paths": [], "sharey": [], "sharex": [], "axesbgalpha": null, "axes": [{"scale": "linear", "tickformat": null, "grid": {"color": "#000000", "alpha": 0.1, "dasharray": "6,6", "gridOn": true}, "fontsize": 12.0, "position": "bottom", "nticks": 7, "tickvalues": null}, {"scale": "linear", "tickformat": null, "grid": {"color": "#000000", "alpha": 0.1, "dasharray": "6,6", "gridOn": true}, "fontsize": 12.0, "position": "left", "nticks": 7, "tickvalues": null}], "lines": [{"color": "#000000", "yindex": 1, "coordinates": "data", "dasharray": "10,0", "zorder": 2, "alpha": 1.0, "xindex": 0, "linewidth": 4.0, "data": "data10", "id": "el12426140168057483152"}], "markers": [], "id": "el12426140168058699472", "ydomain": [-5.0, 5.0], "collections": [], "xscale": "linear", "bbox": [0.34621212121212119, 0.20000000000000007, 0.25757575757575757, 0.69999999999999996]}, {"xlim": [-5.0, 5.0], "yscale": "linear", "axesbg": "#FFFFFF", "texts": [{"v_baseline": "hanging", "h_anchor": "middle", "color": "#000000", "text": "x", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 12.0, "position": [0.50000000000000044, -0.085714285714285715], "rotation": -0.0, "id": "el12426140168057998864"}, {"v_baseline": "auto", "h_anchor": "middle", "color": "#000000", "text": "Velocity", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 18.0, "position": [0.50000000000000044, 1.0198412698412698], "rotation": -0.0, "id": "el12426140168057698448"}], "zoomable": true, "images": [], "xdomain": [-5.0, 5.0], "ylim": [-5.0, 5.0], "paths": [], "sharey": [], "sharex": [], "axesbgalpha": null, "axes": [{"scale": "linear", "tickformat": null, "grid": {"color": "#000000", "alpha": 0.1, "dasharray": "6,6", "gridOn": true}, "fontsize": 12.0, "position": "bottom", "nticks": 7, "tickvalues": null}, {"scale": "linear", "tickformat": null, "grid": {"color": "#000000", "alpha": 0.1, "dasharray": "6,6", "gridOn": true}, "fontsize": 12.0, "position": "left", "nticks": 7, "tickvalues": null}], "lines": [{"color": "#000000", "yindex": 2, "coordinates": "data", "dasharray": "10,0", "zorder": 2, "alpha": 1.0, "xindex": 0, "linewidth": 4.0, "data": "data10", "id": "el12426140168057481808"}], "markers": [], "id": "el12426140168057945808", "ydomain": [-5.0, 5.0], "collections": [], "xscale": "linear", "bbox": [0.64242424242424234, 0.20000000000000007, 0.25757575757575757, 0.69999999999999996]}], "height": 400.0, "width": 1080.0, "plugins": [{"idlinesla": "el12426140168058699152", "idlineslb": "el12426140168057788240", "idrr1": 1.0, "idrr0": 2.0, "idqtwo": "el12426140168057481808", "idlinesra": "el12426140168057790096", "idqone": "el12426140168057483152", "idqlm": "el12426140168057418064pts", "idqmm": "el12426140168057480144pts", "idrl0": -2.0, "idrl1": 1.0, "idqrm": "el12426140168057419600pts", "idlinesrb": "el12426140168057373968", "idmpoint": "el12426140168057421136pts", "type": "drag", "id": "el12426140168057375568pts"}], "data": {"data10": [[-5.0, -2.0, 2.0], [-2.0, -2.0, 2.0], [-2.0, 4.0, -1.0], [2.0, 4.0, -1.0], [2.0, 0.0, -3.0], [5.0, 0.0, -3.0]], "data08": [[4.0, -1.0]], "data09": [[4.4, -1.28]], "data06": [[-1.6, 1.6]], "data07": [[0.4, -3.4]], "data04": [[-5.00000000003, -0.5], [5.00000000003, -5.5]], "data05": [[-2.0, 2.0], [0.0, -3.0]], "data02": [[-5.00000000001, 0.49999999997], [5.00000000001, 5.50000000007]], "data03": [[-5.00000000002, -5.50000000005], [5.00000000002, -0.49999999995]], "data01": [[-5.0, 3.5], [5.0, -1.5]]}, "id": "el12426140168059664720"});
   }(mpld3);
}else if(typeof define === "function" && define.amd){
   // require.js is available: use it to load d3/mpld3
   require.config({paths: {d3: "https://mpld3.github.io/js/d3.v3.min"}});
   require(["d3"], function(d3){
      window.d3 = d3;
      mpld3_load_lib("https://mpld3.github.io/js/mpld3.v0.2.js", function(){
         
    // init custom PPLane plugin
    mpld3.register_plugin("drag", PPlanePlugin);
    PPlanePlugin.prototype = Object.create(mpld3.Plugin.prototype);
    PPlanePlugin.prototype.constructor = PPlanePlugin;
    PPlanePlugin.prototype.requiredProps = ["id", "idmpoint", 
                                            "idlinesla", "idlineslb", "idlinesra", "idlinesrb",  
                                            "idqlm", "idqmm", "idqrm", "idqone", "idqtwo", 
                                            "idrl0", "idrl1", "idrr0", "idrr1"];
    PPlanePlugin.prototype.defaultProps = {}
    function PPlanePlugin(fig, props){
        mpld3.Plugin.call(this, fig, props);
        mpld3.insert_css("#" + fig.figid + " path.dragging",
                         {"fill-opacity": "1.0 !important",
                          "stroke-opacity": "1.0 !important"});
    };

    // Call draw function, this function is being looped all the time
    PPlanePlugin.prototype.draw = function(){
        // Get elements into script variables
        var obj = mpld3.get_element(this.props.id);
        var midpoint = mpld3.get_element(this.props.idmpoint);
        var linesla = mpld3.get_element(this.props.idlinesla);
        var lineslb = mpld3.get_element(this.props.idlineslb);
        var linesra = mpld3.get_element(this.props.idlinesra);
        var linesrb = mpld3.get_element(this.props.idlinesrb);
        var qlm = mpld3.get_element(this.props.idqlm);
        var qmm = mpld3.get_element(this.props.idqmm);
        var qrm = mpld3.get_element(this.props.idqrm);
        var qone = mpld3.get_element(this.props.idqone);
        var qtwo = mpld3.get_element(this.props.idqtwo);
        var rl0 = this.props.idrl0;
        var rl1 = this.props.idrl1;
        var rr0 = this.props.idrr0;
        var rr1 = this.props.idrr1;
        
        // Set initial conditions for javascript calculations
        var qleft = obj.offsets[0];
        var qright = obj.offsets[1];
        var qmid = midpoint.offsets[0];
        var off = 13;
        // Calculate slopes for eigenlines
        var ml = rl1/rl0;
        var mr = rr1/rr0;
        
        // Main d3 drag function
        var drag = d3.behavior.drag()
            .origin(function(d) { return {x:obj.ax.x(d[0]),
                                          y:obj.ax.y(d[1])}; })                              
            .on("dragstart", dragstarted)
            .on("drag", dragged)
            .on("dragend", dragended);
    
        // Set elements of ql and qr points and call main drag function
        obj.elements()
           .data(obj.offsets)
           .style("cursor", "default")
           .call(drag);      

        // Begin drag function
        function dragstarted(d) {
          d3.event.sourceEvent.stopPropagation();
          d3.select(this).classed("dragging", true);
        }
    
        // The drag function called while dragging is happening (meat of code here)
        function dragged(d,i) {
          // Convert mouse coordinates in drag event (d3.event) to python coordinates d
          d[0] = obj.ax.x.invert(d3.event.x);
          d[1] = obj.ax.y.invert(d3.event.y);             
          // Move ql and qr stored in obj (they have been selected in drag)
          d3.select(this)
            .attr("transform", "translate(" + [d3.event.x, d3.event.y] + ")");
          // If obj corresponds to ql, move all the other left elements 
          if (i==0){
              // Move text marker
              qlm.elements().transition().duration(1)
                  .attr("transform", "translate(" + [d3.event.x + off, d3.event.y + off] + ")");
                  
              // Move eigenlines
              for (var ii=0; ii<2; ii++) {
                linesla.data[ii][1] = ml*(linesla.data[ii][0] - d[0]) + d[1];
                lineslb.data[ii][1] = mr*(lineslb.data[ii][0] - d[0]) + d[1]; }
                
              // In script calculations of middle state
              qleft = [d[0], d[1]];
              var det = rl0*rr1 - rr0*rl1;
              var alphal = (rr1*(qright[0] - qleft[0]) - rr0*(qright[1] - qleft[1]))/det
              qmid[0] = qleft[0] + alphal*rl0;
              qmid[1] = qleft[1] + alphal*rl1;
              var xx = obj.ax.x(qmid[0]);
              var yy = obj.ax.y(qmid[1]); 
             
                }
          // if element corresponds to qr
          else {
              // Move text marker
              qrm.elements().transition().duration(1)
                  .attr("transform", "translate(" + [d3.event.x + off, d3.event.y + off] + ")");
                  
              // Move eigenlines
              for (var ii=0; ii<2; ii++) {
                linesra.data[ii][1] = ml*(linesra.data[ii][0] - d[0]) + d[1];
                linesrb.data[ii][1] = mr*(linesrb.data[ii][0] - d[0]) + d[1]; }
                
              // In script calculations of middle state    
              qright = [d[0], d[1]];
              var det = rl0*rr1 - rr0*rl1;
              var alphal = (rr1*(qright[0] - qleft[0]) - rr0*(qright[1] - qleft[1]))/det
              qmid[0] = qleft[0] + alphal*rl0;
              qmid[1] = qleft[1] + alphal*rl1;
              var xx = obj.ax.x(qmid[0]);
              var yy = obj.ax.y(qmid[1]);
                }
              // Update middle state point and marker position
              midpoint.elements().transition().duration(5)
                .attr("transform", "translate(" + [xx, yy] + ")");
              qmm.elements().transition().duration(5)
                .attr("transform", "translate(" + [xx + 0.7*off, yy + 0.7*off] + ")"); 
                
              // Update eigenlines
              linesla.elements().transition().duration(5)
                  .attr("d", linesla.datafunc(linesla.data));
              lineslb.elements().transition().duration(5)
                  .attr("d", lineslb.datafunc(lineslb.data));
              linesra.elements().transition().duration(5)
                  .attr("d", linesra.datafunc(linesra.data));
              linesrb.elements().transition().duration(5)
                  .attr("d", linesrb.datafunc(linesrb.data));
                
              // Update subplots of q1 and q2
              qone.data[0][1] = qleft[0];
              qone.data[1][1] = qleft[0];
              qone.data[2][1] = qmid[0];
              qone.data[3][1] = qmid[0];
              qone.data[4][1] = qright[0];
              qone.data[5][1] = qright[0];
              qtwo.data[0][2] = qleft[1];
              qtwo.data[1][2] = qleft[1];
              qtwo.data[2][2] = qmid[1];
              qtwo.data[3][2] = qmid[1];
              qtwo.data[4][2] = qright[1];
              qtwo.data[5][2] = qright[1];
              qone.elements().transition().duration(5)
                .attr("d", qone.datafunc(qone.data));
              qtwo.elements().transition().duration(5)
                .attr("d", qtwo.datafunc(qtwo.data));  
        }
        // End dragging
        function dragended(d) {
          d3.select(this).classed("dragging", false);
        }
    }
    mpld3.register_plugin("drag", PPlanePlugin); 
    
         mpld3.draw_figure("fig_el124261401680596647209469156260", {"axes": [{"xlim": [-5.0, 5.0], "yscale": "linear", "axesbg": "#FFFFFF", "texts": [{"v_baseline": "hanging", "h_anchor": "middle", "color": "#000000", "text": "Pressure", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 12.0, "position": [0.5, -0.085714285714285715], "rotation": -0.0, "id": "el12426140168059188176"}, {"v_baseline": "auto", "h_anchor": "middle", "color": "#000000", "text": "Velocity", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 12.0, "position": [-0.1064950980392157, 0.5], "rotation": -90.0, "id": "el12426140168059273360"}, {"v_baseline": "auto", "h_anchor": "middle", "color": "#000000", "text": "Phase Plane", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 18.0, "position": [0.5, 1.0198412698412698], "rotation": -0.0, "id": "el12426140168058468688"}], "zoomable": true, "images": [], "xdomain": [-5.0, 5.0], "ylim": [-5.0, 5.0], "paths": [], "sharey": [], "sharex": [], "axesbgalpha": null, "axes": [{"scale": "linear", "tickformat": null, "grid": {"color": "#000000", "alpha": 0.1, "dasharray": "6,6", "gridOn": true}, "fontsize": 12.0, "position": "bottom", "nticks": 7, "tickvalues": null}, {"scale": "linear", "tickformat": null, "grid": {"color": "#000000", "alpha": 0.1, "dasharray": "6,6", "gridOn": true}, "fontsize": 12.0, "position": "left", "nticks": 7, "tickvalues": null}], "lines": [{"color": "#000000", "yindex": 1, "coordinates": "data", "dasharray": "10,0", "zorder": 2, "alpha": 1, "xindex": 0, "linewidth": 1.0, "data": "data01", "id": "el12426140168058699152"}, {"color": "#000000", "yindex": 1, "coordinates": "data", "dasharray": "10,0", "zorder": 2, "alpha": 1, "xindex": 0, "linewidth": 1.0, "data": "data02", "id": "el12426140168057788240"}, {"color": "#000000", "yindex": 1, "coordinates": "data", "dasharray": "10,0", "zorder": 2, "alpha": 1, "xindex": 0, "linewidth": 1.0, "data": "data03", "id": "el12426140168057790096"}, {"color": "#000000", "yindex": 1, "coordinates": "data", "dasharray": "10,0", "zorder": 2, "alpha": 1, "xindex": 0, "linewidth": 1.0, "data": "data04", "id": "el12426140168057373968"}, {"color": "#000000", "yindex": 1, "coordinates": "data", "dasharray": "10,0", "zorder": 2, "alpha": 1, "xindex": 0, "linewidth": 1.0, "data": "data09", "id": "el12426140168057480144"}], "markers": [{"edgecolor": "#000000", "facecolor": "#000000", "edgewidth": 1, "yindex": 1, "coordinates": "data", "zorder": 2, "markerpath": [[[0.0, 5.0], [1.3260155, 5.0], [2.597899353924267, 4.473168457941209], [3.5355339059327378, 3.5355339059327378], [4.473168457941209, 2.597899353924267], [5.0, 1.3260155], [5.0, 0.0], [5.0, -1.3260155], [4.473168457941209, -2.597899353924267], [3.5355339059327378, -3.5355339059327378], [2.597899353924267, -4.473168457941209], [1.3260155, -5.0], [0.0, -5.0], [-1.3260155, -5.0], [-2.597899353924267, -4.473168457941209], [-3.5355339059327378, -3.5355339059327378], [-4.473168457941209, -2.597899353924267], [-5.0, -1.3260155], [-5.0, 0.0], [-5.0, 1.3260155], [-4.473168457941209, 2.597899353924267], [-3.5355339059327378, 3.5355339059327378], [-2.597899353924267, 4.473168457941209], [-1.3260155, 5.0], [0.0, 5.0]], ["M", "C", "C", "C", "C", "C", "C", "C", "C", "Z"]], "alpha": 0.7, "xindex": 0, "data": "data05", "id": "el12426140168057375568pts"}, {"edgecolor": "#000000", "facecolor": "#000000", "edgewidth": 0.5, "yindex": 1, "coordinates": "data", "zorder": 2, "markerpath": [[[-4.404752396166135, 7.19771442614893], [-4.323651388547555, 6.681617104939788], [-4.095094003440648, 6.681617104939788], [-3.243533423445564, 6.681617104939788], [-2.753240968296879, 6.541533546325877], [-2.262948513148194, 6.4051363971491755], [-2.1118057262226593, 5.8742934381912], [-1.0980431309904155, 1.8634799705087237], [-2.447268985008602, 3.1905873679036607], [-3.7964948390267876, 3.1905873679036607], [-5.282117842221676, 3.1905873679036607], [-6.129992012779553, 2.0662324895551727], 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[-0.03452960709433306, -0.30426539915369366], [0.4886698510205125, -0.30426539915369366], [0.8897894355752296, 0.027094257652376275], [1.2930890178720897, 0.3562739167163005], [1.2930890178720897, 0.8663933883782768], [1.7094685866218242, 0.3213939528419778], [2.2675480086109925, 0.009654275715214489], [2.8256274306001625, -0.30426539915369366], [3.4534667803379815, -0.30426539915369366], [4.114006096207973, -0.30426539915369366], [4.5936055994799165, 0.03363425087881167], [5.075385100494007, 0.3693539031691717], [5.075385100494007, 0.9906532596805524], [5.502664657954462, 0.38243388962204294], [6.078184061880798, 0.0401742441052475], [6.655883463549273, -0.30426539915369366], [7.336042759098575, -0.30426539915369366], [8.057622011748634, -0.30426539915369366], [8.495801557919819, 0.08813419443244142], [8.936161101833147, 0.47835379027643166], [8.936161101833147, 1.1999330429264914], [8.936161101833147, 1.7732724491106775], [8.68110136600216, 2.584231609188691], [8.426041630171174, 3.3951907692667036], [8.044542025295762, 4.395809732911348], [7.846162230760548, 4.8797692316675825], [7.846162230760548, 5.232928865895103], [7.846162230760548, 5.649308434644836], [8.173161892082327, 5.649308434644836], [8.718161327618624, 5.649308434644836], [9.08004095281473, 5.065069039749924], [9.441920578010834, 4.478649647112865], [9.590160424476704, 3.809390340274291], [9.631580381577464, 3.728730423814919], [9.70788030255255, 3.728730423814919], [9.871380133213439, 3.728730423814919], [9.925880076767069, 3.728730423814919], [9.962940038383536, 3.765790385431387], [10.0, 3.8028503470478556], [10.0, 3.850810297375049], [10.0, 3.8638902838279208], [9.986920013547131, 3.8922302544758085], [9.795080212238357, 4.681389437132369], [9.322020702192848, 5.350648743970945], [8.848961192147339, 6.0177280530673745], [8.140461925950149, 6.0177280530673745], [7.649962433967481, 6.0177280530673745], [7.301162795224251, 5.679828403034868], [6.954543154223163, 5.341928753002364], [6.954543154223163, 4.860149251988275], [6.954543154223163, 4.613809507125868], [7.070083034556863, 4.315149816451976], [7.464662625885136, 3.2643909047379918], [7.726262354942563, 2.440351758207108], [7.990042081742136, 1.616312611676224], [7.990042081742136, 0.9906532596805524], [7.990042081742136, 0.6004336638365628], [7.833082244307679, 0.3279339460684132], [7.676122406873223, 0.055434228300263566], [7.3098827861928335, 0.055434228300263566], [6.546883576442017, 0.055434228300263566], [5.986624156710697, 0.5241337428614807], [5.428544734721527, 0.9906532596805524], [5.020885156940377, 1.7601924626578072], [4.992545186292489, 1.8953523226708087], [4.979465199839614, 1.9716522436458908], [4.079126132333652, 5.553388533990447], [4.031166182006459, 5.745228335299224], [3.863306355861276, 5.880388195312227], [3.6976265274582403, 6.0177280530673745], [3.4948867374387405, 6.0177280530673745], [3.3313869067778494, 6.0177280530673745], [3.2049470377334295, 5.908728165960115], [3.078507168689006, 5.799728278852855], [3.078507168689006, 5.623148461739094], [3.078507168689006, 5.540308547537576], [3.0915871551418768, 5.498888590436818], [3.985386229421408, 1.9433122729980035], [4.127086082660847, 1.3721528645559617], [4.127086082660847, 0.9906532596805524], [4.127086082660847, 0.6004336638365628], [3.9657662497420993, 0.3279339460684132], [3.8066264145655015, 0.055434228300263566], [3.4251268096900915, 0.055434228300263566], [2.915007338028115, 0.055434228300263566], [2.4855477828255133, 0.2821539934833637], [2.0560882276229098, 0.5066937609243194], [1.7356285595275658, 0.8772933770890028], [1.4151688914322236, 1.2478929932536862], [1.1513891646326524, 1.7601924626578072], [0.203090146799493, 5.553388533990447], [0.15513019647229775, 5.745228335299224], [-0.01272962967288116, 5.880388195312227], [-0.17840945807591702, 6.0177280530673745], [-0.38332924583756345, 6.0177280530673745], [-0.5533690697248907, 6.0177280530673745], [-0.675448943285021, 5.908728165960115], [-0.7975288168451531, 5.799728278852855], [-0.7975288168451531, 5.623148461739094]], ["M", "S", "S", "S", "L", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "L", "S", "S", "S", "S", "S", "S", "L", "S", "M", "S", "S", "L", "S", "S", "S", "S", "S", "S", "S", "S", "M", "S", "L", "S", "S", "S", "S", "S", "S", "L", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "L", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "S", "L", "S", "S", "S", "S", "S", "L", "S", "S", "S", "S", "S", "S", "L", "S", "S", "S", "S"]], "alpha": 1, "xindex": 0, "data": "data09", "id": "el12426140168057480144pts"}], "id": "el12426140168059671760", "ydomain": [-5.0, 5.0], "collections": [], "xscale": "linear", "bbox": [0.050000000000000003, 0.20000000000000007, 0.25757575757575757, 0.69999999999999996]}, {"xlim": [-5.0, 5.0], "yscale": "linear", "axesbg": "#FFFFFF", "texts": [{"v_baseline": "hanging", "h_anchor": "middle", "color": "#000000", "text": "x", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 12.0, "position": [0.5, -0.085714285714285715], "rotation": -0.0, "id": "el12426140168058760592"}, {"v_baseline": "auto", "h_anchor": "middle", "color": "#000000", "text": "Pressure", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 18.0, "position": [0.5, 1.0198412698412698], "rotation": -0.0, "id": "el12426140168058296016"}], "zoomable": true, "images": [], "xdomain": [-5.0, 5.0], "ylim": [-5.0, 5.0], "paths": [], "sharey": [], "sharex": [], "axesbgalpha": null, "axes": [{"scale": "linear", "tickformat": null, "grid": {"color": "#000000", "alpha": 0.1, "dasharray": "6,6", "gridOn": true}, "fontsize": 12.0, "position": "bottom", "nticks": 7, "tickvalues": null}, {"scale": "linear", "tickformat": null, "grid": {"color": "#000000", "alpha": 0.1, "dasharray": "6,6", "gridOn": true}, "fontsize": 12.0, "position": "left", "nticks": 7, "tickvalues": null}], "lines": [{"color": "#000000", "yindex": 1, "coordinates": "data", "dasharray": "10,0", "zorder": 2, "alpha": 1.0, "xindex": 0, "linewidth": 4.0, "data": "data10", "id": "el12426140168057483152"}], "markers": [], "id": "el12426140168058699472", "ydomain": [-5.0, 5.0], "collections": [], "xscale": "linear", "bbox": [0.34621212121212119, 0.20000000000000007, 0.25757575757575757, 0.69999999999999996]}, {"xlim": [-5.0, 5.0], "yscale": "linear", "axesbg": "#FFFFFF", "texts": [{"v_baseline": "hanging", "h_anchor": "middle", "color": "#000000", "text": "x", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 12.0, "position": [0.50000000000000044, -0.085714285714285715], "rotation": -0.0, "id": "el12426140168057998864"}, {"v_baseline": "auto", "h_anchor": "middle", "color": "#000000", "text": "Velocity", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 18.0, "position": [0.50000000000000044, 1.0198412698412698], "rotation": -0.0, "id": "el12426140168057698448"}], "zoomable": true, "images": [], "xdomain": [-5.0, 5.0], "ylim": [-5.0, 5.0], "paths": [], "sharey": [], "sharex": [], "axesbgalpha": null, "axes": [{"scale": "linear", "tickformat": null, "grid": {"color": "#000000", "alpha": 0.1, "dasharray": "6,6", "gridOn": true}, "fontsize": 12.0, "position": "bottom", "nticks": 7, "tickvalues": null}, {"scale": "linear", "tickformat": null, "grid": {"color": "#000000", "alpha": 0.1, "dasharray": "6,6", "gridOn": true}, "fontsize": 12.0, "position": "left", "nticks": 7, "tickvalues": null}], "lines": [{"color": "#000000", "yindex": 2, "coordinates": "data", "dasharray": "10,0", "zorder": 2, "alpha": 1.0, "xindex": 0, "linewidth": 4.0, "data": "data10", "id": "el12426140168057481808"}], "markers": [], "id": "el12426140168057945808", "ydomain": [-5.0, 5.0], "collections": [], "xscale": "linear", "bbox": [0.64242424242424234, 0.20000000000000007, 0.25757575757575757, 0.69999999999999996]}], "height": 400.0, "width": 1080.0, "plugins": [{"idlinesla": "el12426140168058699152", "idlineslb": "el12426140168057788240", "idrr1": 1.0, "idrr0": 2.0, "idqtwo": "el12426140168057481808", "idlinesra": "el12426140168057790096", "idqone": "el12426140168057483152", "idqlm": "el12426140168057418064pts", "idqmm": "el12426140168057480144pts", "idrl0": -2.0, "idrl1": 1.0, "idqrm": "el12426140168057419600pts", "idlinesrb": "el12426140168057373968", "idmpoint": "el12426140168057421136pts", "type": "drag", "id": "el12426140168057375568pts"}], "data": {"data10": [[-5.0, -2.0, 2.0], [-2.0, -2.0, 2.0], [-2.0, 4.0, -1.0], [2.0, 4.0, -1.0], [2.0, 0.0, -3.0], [5.0, 0.0, -3.0]], "data08": [[4.0, -1.0]], "data09": [[4.4, -1.28]], "data06": [[-1.6, 1.6]], "data07": [[0.4, -3.4]], "data04": [[-5.00000000003, -0.5], [5.00000000003, -5.5]], "data05": [[-2.0, 2.0], [0.0, -3.0]], "data02": [[-5.00000000001, 0.49999999997], [5.00000000001, 5.50000000007]], "data03": [[-5.00000000002, -5.50000000005], [5.00000000002, -0.49999999995]], "data01": [[-5.0, 3.5], [5.0, -1.5]]}, "id": "el12426140168059664720"});
      });
    });
}else{
    // require.js not available: dynamically load d3 & mpld3
    mpld3_load_lib("https://mpld3.github.io/js/d3.v3.min.js", function(){
         mpld3_load_lib("https://mpld3.github.io/js/mpld3.v0.2.js", function(){
                 
    // init custom PPLane plugin
    mpld3.register_plugin("drag", PPlanePlugin);
    PPlanePlugin.prototype = Object.create(mpld3.Plugin.prototype);
    PPlanePlugin.prototype.constructor = PPlanePlugin;
    PPlanePlugin.prototype.requiredProps = ["id", "idmpoint", 
                                            "idlinesla", "idlineslb", "idlinesra", "idlinesrb",  
                                            "idqlm", "idqmm", "idqrm", "idqone", "idqtwo", 
                                            "idrl0", "idrl1", "idrr0", "idrr1"];
    PPlanePlugin.prototype.defaultProps = {}
    function PPlanePlugin(fig, props){
        mpld3.Plugin.call(this, fig, props);
        mpld3.insert_css("#" + fig.figid + " path.dragging",
                         {"fill-opacity": "1.0 !important",
                          "stroke-opacity": "1.0 !important"});
    };

    // Call draw function, this function is being looped all the time
    PPlanePlugin.prototype.draw = function(){
        // Get elements into script variables
        var obj = mpld3.get_element(this.props.id);
        var midpoint = mpld3.get_element(this.props.idmpoint);
        var linesla = mpld3.get_element(this.props.idlinesla);
        var lineslb = mpld3.get_element(this.props.idlineslb);
        var linesra = mpld3.get_element(this.props.idlinesra);
        var linesrb = mpld3.get_element(this.props.idlinesrb);
        var qlm = mpld3.get_element(this.props.idqlm);
        var qmm = mpld3.get_element(this.props.idqmm);
        var qrm = mpld3.get_element(this.props.idqrm);
        var qone = mpld3.get_element(this.props.idqone);
        var qtwo = mpld3.get_element(this.props.idqtwo);
        var rl0 = this.props.idrl0;
        var rl1 = this.props.idrl1;
        var rr0 = this.props.idrr0;
        var rr1 = this.props.idrr1;
        
        // Set initial conditions for javascript calculations
        var qleft = obj.offsets[0];
        var qright = obj.offsets[1];
        var qmid = midpoint.offsets[0];
        var off = 13;
        // Calculate slopes for eigenlines
        var ml = rl1/rl0;
        var mr = rr1/rr0;
        
        // Main d3 drag function
        var drag = d3.behavior.drag()
            .origin(function(d) { return {x:obj.ax.x(d[0]),
                                          y:obj.ax.y(d[1])}; })                              
            .on("dragstart", dragstarted)
            .on("drag", dragged)
            .on("dragend", dragended);
    
        // Set elements of ql and qr points and call main drag function
        obj.elements()
           .data(obj.offsets)
           .style("cursor", "default")
           .call(drag);      

        // Begin drag function
        function dragstarted(d) {
          d3.event.sourceEvent.stopPropagation();
          d3.select(this).classed("dragging", true);
        }
    
        // The drag function called while dragging is happening (meat of code here)
        function dragged(d,i) {
          // Convert mouse coordinates in drag event (d3.event) to python coordinates d
          d[0] = obj.ax.x.invert(d3.event.x);
          d[1] = obj.ax.y.invert(d3.event.y);             
          // Move ql and qr stored in obj (they have been selected in drag)
          d3.select(this)
            .attr("transform", "translate(" + [d3.event.x, d3.event.y] + ")");
          // If obj corresponds to ql, move all the other left elements 
          if (i==0){
              // Move text marker
              qlm.elements().transition().duration(1)
                  .attr("transform", "translate(" + [d3.event.x + off, d3.event.y + off] + ")");
                  
              // Move eigenlines
              for (var ii=0; ii<2; ii++) {
                linesla.data[ii][1] = ml*(linesla.data[ii][0] - d[0]) + d[1];
                lineslb.data[ii][1] = mr*(lineslb.data[ii][0] - d[0]) + d[1]; }
                
              // In script calculations of middle state
              qleft = [d[0], d[1]];
              var det = rl0*rr1 - rr0*rl1;
              var alphal = (rr1*(qright[0] - qleft[0]) - rr0*(qright[1] - qleft[1]))/det
              qmid[0] = qleft[0] + alphal*rl0;
              qmid[1] = qleft[1] + alphal*rl1;
              var xx = obj.ax.x(qmid[0]);
              var yy = obj.ax.y(qmid[1]); 
             
                }
          // if element corresponds to qr
          else {
              // Move text marker
              qrm.elements().transition().duration(1)
                  .attr("transform", "translate(" + [d3.event.x + off, d3.event.y + off] + ")");
                  
              // Move eigenlines
              for (var ii=0; ii<2; ii++) {
                linesra.data[ii][1] = ml*(linesra.data[ii][0] - d[0]) + d[1];
                linesrb.data[ii][1] = mr*(linesrb.data[ii][0] - d[0]) + d[1]; }
                
              // In script calculations of middle state    
              qright = [d[0], d[1]];
              var det = rl0*rr1 - rr0*rl1;
              var alphal = (rr1*(qright[0] - qleft[0]) - rr0*(qright[1] - qleft[1]))/det
              qmid[0] = qleft[0] + alphal*rl0;
              qmid[1] = qleft[1] + alphal*rl1;
              var xx = obj.ax.x(qmid[0]);
              var yy = obj.ax.y(qmid[1]);
                }
              // Update middle state point and marker position
              midpoint.elements().transition().duration(5)
                .attr("transform", "translate(" + [xx, yy] + ")");
              qmm.elements().transition().duration(5)
                .attr("transform", "translate(" + [xx + 0.7*off, yy + 0.7*off] + ")"); 
                
              // Update eigenlines
              linesla.elements().transition().duration(5)
                  .attr("d", linesla.datafunc(linesla.data));
              lineslb.elements().transition().duration(5)
                  .attr("d", lineslb.datafunc(lineslb.data));
              linesra.elements().transition().duration(5)
                  .attr("d", linesra.datafunc(linesra.data));
              linesrb.elements().transition().duration(5)
                  .attr("d", linesrb.datafunc(linesrb.data));
                
              // Update subplots of q1 and q2
              qone.data[0][1] = qleft[0];
              qone.data[1][1] = qleft[0];
              qone.data[2][1] = qmid[0];
              qone.data[3][1] = qmid[0];
              qone.data[4][1] = qright[0];
              qone.data[5][1] = qright[0];
              qtwo.data[0][2] = qleft[1];
              qtwo.data[1][2] = qleft[1];
              qtwo.data[2][2] = qmid[1];
              qtwo.data[3][2] = qmid[1];
              qtwo.data[4][2] = qright[1];
              qtwo.data[5][2] = qright[1];
              qone.elements().transition().duration(5)
                .attr("d", qone.datafunc(qone.data));
              qtwo.elements().transition().duration(5)
                .attr("d", qtwo.datafunc(qtwo.data));  
        }
        // End dragging
        function dragended(d) {
          d3.select(this).classed("dragging", false);
        }
    }
    mpld3.register_plugin("drag", PPlanePlugin); 
    
                 mpld3.draw_figure("fig_el124261401680596647209469156260", {"axes": [{"xlim": [-5.0, 5.0], "yscale": "linear", "axesbg": "#FFFFFF", "texts": [{"v_baseline": "hanging", "h_anchor": "middle", "color": "#000000", "text": "Pressure", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 12.0, "position": [0.5, -0.085714285714285715], "rotation": -0.0, "id": "el12426140168059188176"}, {"v_baseline": "auto", "h_anchor": "middle", "color": "#000000", "text": "Velocity", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 12.0, "position": [-0.1064950980392157, 0.5], "rotation": -90.0, "id": "el12426140168059273360"}, {"v_baseline": "auto", "h_anchor": "middle", "color": "#000000", "text": "Phase Plane", "coordinates": "axes", "zorder": 3, "alpha": 1, "fontsize": 18.0, "position": [0.5, 1.0198412698412698], "rotation": -0.0, "id": "el12426140168058468688"}], "zoomable": true, "images": [], "xdomain": [-5.0, 5.0], "ylim": [-5.0, 5.0], "paths": [], "sharey": [], 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