/** * Created by Alex on 2/10/14. */ var repulsionMixin = { /** * Calculate the forces the nodes apply on eachother based on a repulsion field. * This field is linearly approximated. * * @private */ _calculateNodeForces: function () { var dx, dy, angle, distance, fx, fy, combinedClusterSize, repulsingForce, node1, node2, i, j; var nodes = this.calculationNodes; var nodeIndices = this.calculationNodeIndices; // approximation constants var a_base = -2 / 3; var b = 4 / 3; // repulsing forces between nodes var nodeDistance = this.constants.physics.repulsion.nodeDistance; var minimumDistance = nodeDistance; // we loop from i over all but the last entree in the array // j loops from i+1 to the last. This way we do not double count any of the indices, nor i == j for (i = 0; i < nodeIndices.length - 1; i++) { node1 = nodes[nodeIndices[i]]; for (j = i + 1; j < nodeIndices.length; j++) { node2 = nodes[nodeIndices[j]]; combinedClusterSize = node1.clusterSize + node2.clusterSize - 2; dx = node2.x - node1.x; dy = node2.y - node1.y; distance = Math.sqrt(dx * dx + dy * dy); minimumDistance = (combinedClusterSize == 0) ? nodeDistance : (nodeDistance * (1 + combinedClusterSize * this.constants.clustering.distanceAmplification)); var a = a_base / minimumDistance; if (distance < 2 * minimumDistance) { if (distance < 0.5 * minimumDistance) { repulsingForce = 1.0; } else { repulsingForce = a * distance + b; // linear approx of 1 / (1 + Math.exp((distance / minimumDistance - 1) * steepness)) } // amplify the repulsion for clusters. repulsingForce *= (combinedClusterSize == 0) ? 1 : 1 + combinedClusterSize * this.constants.clustering.forceAmplification; repulsingForce = repulsingForce / distance; fx = dx * repulsingForce; fy = dy * repulsingForce; node1.fx -= fx; node1.fy -= fy; node2.fx += fx; node2.fy += fy; } } } } };