/**
* Method gets the of edge-crossings, if an edge is vertical
*
* @param edge the vertical edge
* @param edges the rest of edges in the graph
* @param op the graph
* @return crossing-amount
*/
private static int infinitSlope(Edge edge, LinkedList<Edge> edges, OperatorGraph op) {
int crossings = 0;
HashMap<GraphWrapper, GraphBox> boxes = op.getBoxes();
GraphBox source1 = boxes.get(edge.getSource());
GraphBox target1 = boxes.get(edge.getTarget());
for (Edge edge2 : edges) {
GraphBox source2 = boxes.get(edge2.getSource());
GraphBox target2 = boxes.get(edge2.getTarget());
if (target2.getX() == source2.getX()) {
double m =
((double) target2.getY() - (double) source2.getY())
/ ((double) target2.getX() - (double) source2.getX()); // slope of line 2
double b = target2.getY() - (m * target2.getX()); // crossing with y-axis off line 2
double y = m * source1.getX() + b;
double minY = Math.min(source1.getY(), target1.getY());
double maxY = Math.max(source1.getY(), target1.getY());
if ((y > minY) && (y < maxY)) {
crossings++;
}
}
}
return crossings;
}
/**
* Method tests if a graph-layout is symmetric to an axis and shows the result on command-line
*
* @param graph
*/
public static String symmetry_Test(OperatorGraph graph) {
int width = GraphHelper.graphWidth(graph);
double symLine = width / 2;
HashMap<GraphWrapper, GraphBox> boxes = graph.getBoxes();
LinkedList<GraphBox> left = new LinkedList<GraphBox>();
LinkedList<GraphBox> right = new LinkedList<GraphBox>();
String result = "Test: Axially Symmetry:\n";
// get boxes of left and right side of symmetry-line
for (GraphBox box : boxes.values()) {
if ((box.getX() + box.width) <= symLine) {
left.add(box);
} else if (box.getX() >= symLine) {
right.add(box);
} else { // test if node is centered on symmetry-line
if ((box.getX() + (box.width / 2)) != symLine) {
result += "Node not in the middle of the symmetry axe!\n";
result += "Node with x = " + box.getX() + " y = " + box.getY() + ".\n";
}
}
}
// test if node-amount on left and right side of symmetry-line is equal
if (left.size() != right.size()) {
result += "Different number of nodes on both sides of the symmetry axe:\n";
result += "Left: " + left.size() + " Right: " + right.size() + "\n";
}
// compute symmetric node-counter-parts
int symCounter = 0;
boolean sym = true;
for (GraphBox box1 : left) {
double symSpace = symLine - (box1.getX() + box1.width);
int y = box1.getY();
for (GraphBox box2 : right) {
if (y == box2.getY()) {
if ((symLine + symSpace) == box2.getX()) {
sym = true;
symCounter++;
break;
} else {
sym = false;
}
}
sym = false;
}
}
// compute number of symmetric nodes
final int sumSizes = left.size() + right.size();
double p = (sumSizes == 0) ? 100 : (2 * symCounter * 100) / ((double) sumSizes);
if (sym == false) {
result += "The graph is " + p + "% axially symmetric!\n";
} else {
result += "The graph is 100% axially symmetric!\n";
}
return result;
}
/**
* Method compares the average edge-length and the average node-distance with the optimal
* Sugiyama-distance.
*
* @param graph
*/
public static String smallestSeparation_Test(OperatorGraph graph) {
HashMap<GraphWrapper, GraphBox> boxes = graph.getBoxes();
int nodeAmount = boxes.size();
double scaleConst = 1.0;
int width = GraphHelper.graphWidth(graph);
int height = GraphHelper.graphHeight(graph);
LinkedList<Double> distances = new LinkedList<Double>();
// compute optimal distance after Sugiyama
double optiDist = scaleConst * Math.sqrt((width * height) / nodeAmount);
double ariMiddle = 0.0;
int edges = 0;
LinkedList<Double> length = new LinkedList<Double>();
for (GraphWrapper gw : boxes.keySet()) {
LinkedList<GraphWrapper> children = gw.getPrecedingElements();
for (GraphWrapper child : children) {
double edgeLen = edgeLength(graph, gw, child);
length.add(edgeLen);
ariMiddle += edgeLen;
edges++;
}
}
ariMiddle = ariMiddle / edges;
double avrDist = 0.0;
for (GraphWrapper node1 : boxes.keySet()) {
LinkedList<GraphWrapperIDTuple> childrenTuple = node1.getSucceedingElements();
LinkedList<GraphWrapper> children = new LinkedList<GraphWrapper>();
for (GraphWrapperIDTuple child : childrenTuple) {
children.add(child.getOperator());
}
GraphBox box1 = boxes.get(node1);
for (GraphWrapper node2 : boxes.keySet()) {
if ((!node2.equals(node1))) {
GraphBox box2 = boxes.get(node2);
// compute distance between node1 and node 2
int x = box2.getX() - box1.getX();
int y = box2.getY() - box1.getY();
double distance = Math.sqrt(Math.pow(x, 2) + Math.pow(y, 2));
distances.add(distance);
avrDist += distance;
}
}
}
avrDist = avrDist / distances.size();
String result = "Test: Smallest Separation:\n";
result += "The optimal distance based on Sugiyama is " + optiDist + ".\n";
result += "The average distance between not connected nodes is " + avrDist + ".\n";
result += "The average edge length is " + ariMiddle + ".\n";
return result;
}
/**
* Method gets the edge-length between the nodes a and b
*
* @param graph the graph
* @param a first node
* @param b second node
* @return edge length
*/
private static double edgeLength(OperatorGraph graph, GraphWrapper a, GraphWrapper b) {
double length = 0.0;
HashMap<GraphWrapper, GraphBox> boxes = graph.getBoxes();
GraphBox boxA = boxes.get(a);
GraphBox boxB = boxes.get(b);
double x = boxA.getX() - boxB.getX();
double y = boxA.getY() - boxB.getY();
length = Math.sqrt(Math.pow(x, 2) + Math.pow(y, 2));
return length;
}
/**
* Method tests if graph-nodes are uniform distributed over the screen.
*
* @param op the graph
*/
public static String uniformDistribution_Test(OperatorGraph op) {
HashMap<GraphWrapper, GraphBox> boxes = op.getBoxes();
double width = GraphHelper.graphWidth(op);
double height = GraphHelper.graphHeight(op);
int nodeAmount = boxes.size();
int fieldNumber = 0;
// compute number of grid-fields
fieldNumber = (int) Math.floor(Math.sqrt(nodeAmount));
int[][] grid = new int[fieldNumber][fieldNumber];
// compute width and height of grid-fields
int fieldSpaceX = (int) Math.ceil(width / fieldNumber);
int fieldSpaceY = (int) Math.ceil(height / fieldNumber);
int x = fieldSpaceX;
int y = fieldSpaceY;
// compute how many nodes are in the grid-fields
for (int i = 0; i < fieldNumber; i++) {
for (int j = 0; j < fieldNumber; j++) {
for (GraphBox box : boxes.values()) {
if ((box.getX() + box.width < x)
&& (box.getX() >= x - fieldSpaceX)
&& (box.getY() + box.height < y)
&& (box.getY() >= y - fieldSpaceY)) {
grid[i][j]++;
}
}
y += fieldSpaceY;
}
x += fieldSpaceX;
y = fieldSpaceY;
}
// test if nodes are uniformly distributed
int notUniform = 0;
boolean equ = true;
for (int i = 0; i < fieldNumber; i++) {
for (int j = 0; j < fieldNumber; j++) {
if ((grid[i][j] > 2) || (grid[i][j] < 1)) {
equ = false;
notUniform++;
}
}
}
String result = "Test: uniform distribution of nodes:\n";
result += "Size of grid: " + fieldNumber + " * " + fieldNumber + "\n";
System.out.println("");
if (equ == false) {
int fields = fieldNumber * fieldNumber;
// compute percent of uniform node distribution
double p = 100 - ((notUniform * 100) / fields);
result += "The graph is about " + p + "% uniformly filled with nodes...\n";
} else {
result += "All grid fields contain 1 or 2 nodes.\n";
result += "The graph is 100% uniformly filled with nodes...\n";
}
return result;
}
/**
* Method computes the amount of edge-crossing in a graph and displays the result on command-line
*/
public static String minEdgeCrossing_Test(OperatorGraph graph) {
HashMap<GraphWrapper, GraphBox> boxes = graph.getBoxes();
LinkedList<Edge> edges = new LinkedList<Edge>();
int crossCounter = 0;
// get all edges of the graph
for (GraphWrapper gw : boxes.keySet()) {
LinkedList<GraphWrapperIDTuple> children = gw.getSucceedingElements();
for (GraphWrapperIDTuple child : children) {
Edge edge = new Edge(gw, child.getOperator(), 0);
edges.add(edge);
}
}
int edgecount = 0;
LinkedList<Edge> visited = new LinkedList<Edge>();
for (int i = 0; i < edges.size(); i++
/** Edge edge1 : edges* */
) {
Edge edge1 = edges.get(i);
edgecount++;
GraphBox sourceE1 = boxes.get(edge1.getSource());
GraphBox targetE1 = boxes.get(edge1.getTarget());
// edge 1 is vertical
if ((targetE1.getX() == sourceE1.getX())) {
crossCounter = infinitSlope(edge1, edges, graph);
} else {
double m1 =
((double) targetE1.getY() - (double) sourceE1.getY())
/ ((double) targetE1.getX() - (double) sourceE1.getX()); // slope of line 1
double b1 = (targetE1.getY()) - (m1 * targetE1.getX()); // slope of line 1
for (int j = 0; j < edges.size(); j++
/** Edge edge2 : edges* */
) {
Edge edge2 = edges.get(j);
if ((!edge2.equals(edge1)) && (!visited.contains(edge2)) && (m1 != 0.0)) {
GraphBox sourceE2 = boxes.get(edge2.getSource());
GraphBox targetE2 = boxes.get(edge2.getTarget());
// edge 2 is vertical
if (targetE2.getX() == sourceE2.getX()) {
crossCounter += infinitSlope(edge2, edge1, graph);
} else {
double m2 =
((double) targetE2.getY() - (double) sourceE2.getY())
/ ((double) targetE2.getX() - (double) sourceE2.getX()); // slope of line 2
double b2 =
(targetE2.getY()) - (m2 * targetE2.getX()); // crossing with y-axis of line 2
double x = ((b2 - b1) / (m1 - m2));
double y = ((m1 * x) + b1); // cross-point-coordinates of the 2 lines
double maxXe1 = Math.max(sourceE1.getX(), targetE1.getX());
double maxXe2 = Math.max(sourceE2.getX(), targetE2.getX());
double minXe1 = Math.min(sourceE1.getX(), targetE1.getX());
double minXe2 = Math.min(sourceE2.getX(), targetE2.getX());
double maxYe1 = Math.max(sourceE1.getY(), targetE1.getY());
double maxYe2 = Math.max(sourceE2.getY(), targetE2.getY());
double minYe1 = Math.min(sourceE1.getY(), targetE1.getY());
double minYe2 = Math.min(sourceE2.getY(), targetE2.getY());
// test if cross-point is part of edge 1
if ((x < maxXe1) && (x > minXe1) && (y < maxYe1) && (y > minYe1)) {
if ((x < maxXe2) && (x > minXe2) && (y < maxYe2) && (y > minYe2)) {
crossCounter++;
}
}
}
// visited.add(edge2);
}
}
}
visited.add(edge1);
}
return "Test: Crossing Edges:\nThe number of edges crossing is "
+ crossCounter
+ " of total "
+ edgecount
+ " edges.\n";
}