import { isSimpleGraph } from '../essence';
import Graph from '../Graph';
import { containAllSameNodes, containSameEdges } from './contain';

/**
 * @description Check if one graph is the complement of another graph.
 * @description.zh-CN 检查一个图是否是另一个图的补图。
 */
export const isGraphComplement = <NodeIDType = any, EdgeType = any>(
  originGraph: Graph<NodeIDType, any, EdgeType, any>,
  targetGraph: Graph<NodeIDType, any, EdgeType, any>,
) => {
  if (!isSimpleGraph(originGraph) || !isSimpleGraph(targetGraph)) {
    return false;
  }
  if (!containAllSameNodes(originGraph, targetGraph)) {
    return false;
  }
  if (containSameEdges(originGraph, targetGraph)) {
    return false;
  }

  const nodeCount = originGraph.nodeCount();

  return originGraph.edgeCount() + targetGraph.edgeCount() === (nodeCount * (nodeCount - 1)) / 2;
};