private void Swap(int i, int j)
{
HeapElem tmp = _heap[i];
_heap[i] = _heap[j];
_heap[j] = tmp;
}
private void Grow()
{
int newCapacity = _heap.Length * GrowFactor;
var newHeap = new HeapElem[newCapacity];
Array.Copy(_heap, newHeap, _heap.Length);
_heap = newHeap;
}
private void Dijkstry(string start, string end)
{
HeapElem smallestPathFromCity = null, p, t;
string vertexFromHeap, key;
int oldValNeighbour, lengthToCurrCity, sum;
while (heap.Count > 0)
{
smallestPathFromCity = heap.First();
//heap = RemoveHeap(heap);
heap.Remove(smallestPathFromCity);
vertexFromHeap = smallestPathFromCity.vertex;
if (visited[vertexFromHeap] == true)
{
continue;
}
lengthToCurrCity = smallestPathFromCity.length;
visited[vertexFromHeap] = true;
foreach (KeyValuePair <string, int> x in array[vertexFromHeap].incList)
{
if (!table.ContainsKey(x.Key))
{
table.Add(x.Key, new TableElement());
visited.Add(x.Key, false);
}
key = x.Key;
oldValNeighbour = table[key].length;
sum = lengthToCurrCity + x.Value;
if (sum < oldValNeighbour)
{
table[key].length = sum;
table[key].prevVertex = vertexFromHeap;
if (visited[key] == false)
{
t = new HeapElem(oldValNeighbour, key);
p = new HeapElem(sum, key);
if (heap.TryGetValue(t, out t))
{
heap.Remove(t);
heap.Add(p);
}
else
{
heap.Add(p);
}
}
}
}
if (String.Compare(end, vertexFromHeap) == 0)
{
break;
}
}
}
static HeapElem SearchHeapElemNext(HeapElem he, ref List <HeapElem> lshe)
{
foreach (var v in lshe)
{
if (v.start > he.end)
{
return(v);
}
}
return(lshe[0]);
}
public int Pop()
{
if (_count == 0)
{
throw new InvalidOperationException("Heap is empty");
}
HeapElem ret = _heap[0];
_count--;
Swap(_count, 0); // swap last element into first slot
HeapifyDown(0);
return(ret.value);
}
public void Add(int value, float score)
{
_seenVals.Add(value);
var elem = new HeapElem();
elem.value = value;
elem.score = score;
if (_count == _heap.Length)
{
Grow();
}
_heap[_count++] = elem;
HeapifyUp(_count - 1);
}
public int CompareTo(object obj)
{
if (obj == null)
{
return(1);
}
HeapElem otherTemperature = obj as HeapElem;
if (otherTemperature != null)
{
return((int)this.GetMergeNorm() - (int)otherTemperature.GetMergeNorm());
}
else
{
throw new ArgumentException("Object is not a HeapElement");
}
}
static void MergeTwoHeapElem(HeapElem h1, HeapElem h2)
{
List <float> keyEl = new List <float>(dictCol.Keys);
// We have 2 in the list
HeapStatElem hse = new HeapStatElem();
HeapElem he = new HeapElem();
he.spread = h1.spread + h2.spread;
he.start = h1.start;
he.end = h2.end;
hse.range_high_key = h2.hsElem.range_high_key;
hse.equal_rows = h2.hsElem.equal_rows;
hse.distint_range_rows = h1.hsElem.distint_range_rows + 1 + h2.hsElem.distint_range_rows;
hse.range_rows = h1.hsElem.range_rows + h1.hsElem.equal_rows + h2.hsElem.range_rows;
hse.average_range_rows = hse.range_rows / hse.distint_range_rows;
he.hsElem = hse;
List <float> lisError = new List <float>();
// Now that we will go from the start to the end
// indices, so that we can find out the error values
for (int j = he.start; j <= he.end; j++)
{
float estimate = hse.average_range_rows;
float actual = dictCol[keyEl[j]];
float err = (estimate + 1) / (actual + 1);
if (err < 1)
{
err = 1 / err;
}
lisError.Add(err);
}
lisError.Sort();
he.errorList = lisError;
// Now we will need to generate the sorted
// list and find out the new metrics
float prod1 = 0, sum1 = 0;
int k = 0;
for (int j = he.start; j <= he.end; j++, k++)
{
float val = (k + 1) * lisError[k];
prod1 += val;
sum1 += lisError[k];
}
float sumn = k * (k + 1) / 2;
float sumns = k * (k + 1) * (2 * k + 1) / 6;
float betanom = k * prod1 - sumn * sum1;
float betaden = k * (sumns) - sumn * sumn;
float betam = betanom / betaden;
float alphanom = sum1 * sumns - prod1 * sumn;
float alpha = alphanom / betaden;
h1.mergeend = he.end;
h1.mergestart = he.start;
h1.mergehsElemM = hse;
h1.mergeerrorList = lisError;
h1.mergeintercept = betam;
h1.mergeslope = alpha;
h1.mergespread = he.spread;
}
// This is the one that creates various histogram elements
// from the values we already store and keep
static void CreateHistogramFromAlgorithm(List <float> colVal, List <StatStep> histLs, int num)
{
//we have the histogram
int countHistInit = dictCol.Count();
List <float> keyEl = new List <float>(dictCol.Keys);
List <HeapStatElem> lhse = new List <HeapStatElem>();
List <float> errorList = new List <float>();
// Next will be the priority heap implementation
// So if there are modulo values, they will be picked i nthe end
// in a separate process
for (int i = 0; i < countHistInit / num - 1; i++)
{
HeapStatElem hs = new HeapStatElem();
hs.range_high_key = keyEl[i * num + num - 1];
// For each histogram element , add their values in the q-error metric, which is a temporary thing
for (int j = 0; j < num - 1; j++)
{
hs.range_rows += dictCol[keyEl[i * num + j]];
}
hs.equal_rows = dictCol[keyEl[i * num + (num - 1)]];
hs.distint_range_rows = num - 1;
hs.average_range_rows = hs.range_rows / hs.distint_range_rows;
lhse.Add(hs);
}
HeapStatElem hsElem = new HeapStatElem();
hsElem.equal_rows = dictCol[keyEl[countHistInit - 1]];
hsElem.range_high_key = keyEl[countHistInit - 1];
int tot = 0;
int d = 0;
for (int i = ((countHistInit / num) - 1) * num; i < countHistInit - 1; i++)
{
if (i < countHistInit - 1)
{
tot += dictCol[keyEl[i]];
d++;
}
}
hsElem.range_rows = tot;
hsElem.average_range_rows = tot / d;
hsElem.distint_range_rows = d;
// Final bucket if there are some values left, we will work on it
lhse.Add(hsElem);
// We have the hist Elem.
// Now use that to find the -q list and fill the q-error for each bucket.
// Now have the q-errors
List <float> qeList = new List <float>();
List <HeapElem> heElemList = new List <HeapElem>();
maxalpha = float.MinValue;
maxbeta = float.MinValue;
foreach (var v in keyEl)
{
float estimate = CalculateEMQEsitmateFromHist(ref lhse, v);
float actual = dictCol[v];
// now we have the actual and estimate
float qe = (estimate + 1) / (actual + 1);
if (qe < 1)
{
qe = (float)(1) / qe;
}
qeList.Add(qe);
}
for (int i = 0; i < countHistInit / num; i++)
{
HeapElem he = new HeapElem();
he.start = i * num;
he.end = (i + 1) * (num) - 1;
he.hsElem = lhse[i];
he.spread = (int)lhse[i].range_rows + (int)lhse[i].equal_rows;
he.errorList = new List <float>();
float prod1 = 0, sum2 = 0, nls = 0, ls = 0;
for (int j = 0; j < num; j++)
{
he.errorList.Add(qeList[i * num + j]);
}
he.errorList.Sort();
for (int j = 0; j < num; j++)
{
float val = (j + 1) * he.errorList[j];
prod1 += val;
sum2 += he.errorList[j];
}
float sumn = (num) * (num + 1) / 2;
float sumns = (num) * (num + 1) * (2 * num + 1) / 6;
float betanom = num * prod1 - (sumn) * sum2;
float betaden = num * sumns - (sumn) * (sumn);
float beta = betanom / betaden;
float alphanom = prod1 * sumns - sum2 * sumn;
float alphaden = betaden;
float alpha = alphanom / alphaden;
he.intercept = alpha;
he.slope = beta;
if (alpha > maxalpha)
{
maxalpha = alpha;
}
if (beta > maxbeta)
{
maxbeta = beta;
}
// We will get the merged norm, that we will need
he.mergenorm = he.GetMergeNorm();
heElemList.Add(he);
// At the end of the three, we will need to find the beta and alpha
}
HeapElem heElem = new HeapElem();
int c = 0;
heElem.start = (countHistInit / num) * num;
heElem.end = countHistInit - 1;
heElem.hsElem = lhse[countHistInit / num - 1];
float prod1o = 0, sum2o = 0, nlso = 0, lso = 0;
heElem.errorList = new List <float>();
// Now for the last bucket
for (int i = (countHistInit / num) * num; i < countHistInit; i++)
{
c++;
heElem.errorList.Add(qeList[i]);
}
heElem.errorList.Sort();
for (int i = (countHistInit / num) * num, k = 0; i < countHistInit; i++, k++)
{
float val = (k + 1) * heElem.errorList[k];
prod1o += val;
sum2o += heElem.errorList[k];
}
heElem.spread = c;
float sumno = c * (c + 1) / 2;
float sumnso = c * (c + 1) * (2 * c + 1) / 6;
float betanomo = c * prod1o - sumno * sum2o;
float betadeno = c * sumnso - sumno * sumno;
float betao = betanomo / betadeno;
float alphanomo = sum2o * sumnso - prod1o * sumno;
float alphao = alphanomo / betadeno;
if (alphao > maxalpha)
{
maxalpha = alphao;
}
if (betao > maxbeta)
{
maxbeta = betao;
}
heElem.intercept = alphao;
heElem.slope = betao;
heElem.mergenorm = heElem.GetMergeNorm();
heElemList.Add(heElem);
// The list if ready, now, we need to build the Heap where the top element with the
// We will iterate over this list and now create the their mergestories.
int heapElemCount = heElemList.Count;
for (int i = 0; i < heapElemCount - 1; i++)
{
HeapElem h1 = heElemList[i];
HeapElem h2 = heElemList[i + 1];
MergeTwoHeapElem(h1, h2);
// We have for nodes, their merged values.
}
// Heap Elem List has all the heaps with their mergeability information defined.
Heap.PriorityQueue <HeapElem, Tuple <float, float> > heapForWork = new Heap.PriorityQueue <HeapElem, Tuple <float, float> >();
for (int i = 0; i < heElemList.Count - 1; i++)
{
heapForWork.Enqueue(heElemList[i], new Tuple <float, float>(heElemList[i].mergeslope, heElemList[i].mergeintercept));
}
// At this point the heap is ready. Now pop and keep merging till the end.
while (heapForWork.Count > numSteps)
{
HeapElem he = heapForWork.Dequeue().Key;
// We got the he elem, now the hard work of the merged one to be inserted.
HeapElem heNew = new HeapElem();
HeapStatElem hs = new HeapStatElem();
heNew.hsElem = he.mergehsElemM;
heNew.intercept = he.mergeintercept;
heNew.slope = he.mergeslope;
heNew.intercept = he.mergeintercept;
heNew.errorList = he.mergeerrorList;
heNew.spread = he.spread;
heNew.end = he.mergeend;
heNew.start = he.mergestart;
int k = 0;
for (int i = 0; i < heElemList.Count; i++)
{
if (heElemList[i].start > he.end)
{
k = i;
heElemList[i] = heNew;
break;
}
}
if (k < heElemList.Count - 2)
{
// Now to merge it with the next element.
MergeTwoHeapElem(heNew, heElemList[k + 2]);
// We iwll keep removing it after every change.
heElemList.RemoveAt(k + 1);
}
foreach (var v in heapForWork)
{
if (v.Key.end + 1 == he.start)
{
MergeTwoHeapElem(v.Key, heNew);
break;
}
}
// So both the sides are merged and we can have them in the heap inserted back again.
}
// At this point, we will have merged a few cases here and here
// Now build the list
foreach (var v in heElemList)
{
// Should have the lmited he element list
StatStep ss = new StatStep();
ss.average_range_rows = v.hsElem.average_range_rows;
ss.distint_range_rows = v.hsElem.distint_range_rows;
ss.equal_rows = v.hsElem.equal_rows;
ss.range_high_key = v.hsElem.range_high_key;
ss.range_rows = v.hsElem.range_rows;
histLs.Add(ss);
}
return;
}
public string VirtRoad(string start, string startNewRoad, string endNewRoad, int roadLength)
{
if (prevCityPath != start || table == null)
{
prevCityPath = start;
heap = new SortedSet <HeapElem>(new ByLength());
visited = new Dictionary <string, bool>();
visited.Add(start, false);
heap.Add(new HeapElem(0, start));
table = new Dictionary <string, TableElement>();
table.Add(start, new TableElement());
table[start].length = 0;
table[start].prevVertex = start;
Dijkstry(start, startNewRoad);
if (!visited.ContainsKey(endNewRoad) || !visited[endNewRoad])
{
Dijkstry(start, endNewRoad);
}
}
else
{
if (!visited.ContainsKey(startNewRoad) || !visited[startNewRoad])
{
Dijkstry(start, startNewRoad);
}
if (!visited.ContainsKey(endNewRoad) || !visited[endNewRoad])
{
Dijkstry(start, endNewRoad);
}
}
SortedSet <HeapElem> heapNR = new SortedSet <HeapElem>(new ByLength());
//[x,1] -is on heap
Dictionary <string, bool[]> isVisitedHeap = new Dictionary <string, bool[]>();
int cityShortestPath = 0;
int oldValue = table[endNewRoad].length;
int newValue = roadLength + table[startNewRoad].length;
bool onHeap, isVisited;
HeapElem t, p;
if (oldValue > newValue)
{
cityShortestPath++;
isVisitedHeap.Add(endNewRoad, new bool[2]);
heapNR.Add(new HeapElem(newValue, endNewRoad));
}
else if (table[startNewRoad].length > roadLength + table[endNewRoad].length)
{
isVisitedHeap.Add(startNewRoad, new bool[2]);
cityShortestPath++;
heapNR.Add(new HeapElem(roadLength + table[endNewRoad].length, startNewRoad));
}
else
{
return("0");
}
HeapElem el = null;
while (heapNR.Count > 0 && cityShortestPath < 100)
{
el = heapNR.First();
heapNR.Remove(el);
isVisitedHeap[el.vertex][1] = false;
isVisitedHeap[el.vertex][0] = true;
foreach (KeyValuePair <string, int> x in array[el.vertex].incList)
{
if (!isVisitedHeap.ContainsKey(x.Key))
{
isVisitedHeap.Add(x.Key, new bool[2]);
}
if (!visited[x.Key])
{
Dijkstry(start, x.Key);
}
oldValue = table[x.Key].length;
newValue = el.length + x.Value;
if (oldValue > newValue)
{
onHeap = isVisitedHeap[x.Key][1];
isVisited = isVisitedHeap[x.Key][0];
if (onHeap)
{
heapNR.Remove(new HeapElem(oldValue, x.Key));
heapNR.Add(new HeapElem(newValue, x.Key));
}
else if (!isVisited)
{
cityShortestPath++;
heapNR.Add(new HeapElem(newValue, x.Key));
isVisitedHeap[x.Key][1] = true;
}
}
}
}
return((cityShortestPath >= 100) ? "100+" : cityShortestPath.ToString());
}