//冒泡排序從大到小

• (void)orderBubbleSort:(NSMutableArray *)mArray {
  for (int i = 0; i < mArray.count - 1; i ++) {
  for (int j = 0; j < mArray.count - i - 1; j ++) {
  if ([mArray[j] intValue] > [mArray[j + 1] intValue]) {
  [mArray exchangeObjectAtIndex:j withObjectAtIndex:j + 1];
  }
  }
  }
  NSLog(@"從小到大%@",mArray);
  }

//冒泡排序從小到大

• (void)reverseBubbleSort:(NSMutableArray *)mArray {
  for (int i = 0; i < mArray.count - 1; i ++) {
  for (int j = 0; j < mArray.count - i - 1; j ++) {
  if ([mArray[j] intValue] < [mArray[j + 1] intValue]) {
  [mArray exchangeObjectAtIndex:j withObjectAtIndex:j + 1];
  }
  }
  }
  NSLog(@"從大到大小%@",mArray);
  }

//快速排序

• (void)quickSort:(NSMutableArray *)mArray leftIndex:(int )left rightIndex:(int )right
  {
  if (left < right) {
  int temp = [self getMiddleIndex:mArray leftIndex:left rightIndex:right];
  [self quickSort:mArray leftIndex:left rightIndex:temp - 1];
  [self quickSort:mArray leftIndex:temp + 1 rightIndex:right];
  }
  NSLog(@"%@",mArray);
  }

• (int )getMiddleIndex:(NSMutableArray *)mArray leftIndex:(int )left rightIndex:(int )right {
  int tempValue = [mArray[left] intValue];
  while (left < right) {
  while ((left < right) && (tempValue <= [mArray[right] intValue])) {
  right --;
  }
  if (left < right) {
  mArray[left] = mArray[right];
  }
  while (left < right && ([mArray[left] intValue] <= tempValue)) {
  left ++;
  }
  if (left < right) {
  mArray[right] = mArray[left];
  }
  }
  mArray[left] = [NSNumber numberWithInt:tempValue];
  return left;
  }

• (void)HTTquickSort:(NSMutableArray *)quickArray leftIndex:(NSInteger)left rightIndex:(NSInteger )right
  {
  NSInteger i = left;
  NSInteger j = right;
  NSString *t;
  if (left>right) {
  NSLog(@"%@",quickArray);
  return;
  }
  NSString *temp = quickArray[left];
  while (i != j) {
  while (([quickArray[j] integerValue]>[temp integerValue] || [quickArray[j] integerValue] == [temp integerValue]) && i<j)
  j--;
  while (([quickArray[i] integerValue] < [temp integerValue] || [quickArray[i] integerValue] == [temp integerValue]) && i<j)
  i++;
  if (i<j) {
  t = quickArray[i];
  quickArray[i] = quickArray[j];
  quickArray[j] = t;

    }
  

  }
  quickArray[left] = quickArray[i];
  quickArray[i] = temp;

  [self HTTquickSort:quickArray leftIndex:left rightIndex:i-1];
  [self HTTquickSort:quickArray leftIndex:i+1 rightIndex:right];

}

//選擇排序

• (void)selectSort:(NSMutableArray *)mArray {
  for (int i = 0; i < mArray.count; i ++) {
  int minIndex = i;
  for (int j = i + 1; j < mArray.count; j ++) {
  if ([mArray[minIndex] intValue] > [mArray[j] intValue]) {
  minIndex = j;
  }
  }
  if(minIndex != i) {
  //如果不是無序區的最小值位置不是默認的第一個數據，則交換。
  [mArray exchangeObjectAtIndex:i withObjectAtIndex:minIndex];
  }
  }
  }

//直接插入排序

• (void)insertSort:(NSMutableArray*)array {
  for (int i = 0;i < [array count] - 1;i ++) {
  if([[array objectAtIndex:i + 1]intValue] < [[array objectAtIndex:i] intValue]) {
  NSNumber *temp=[array objectAtIndex:i+1];
  for (int j = i + 1; j > 0 && [[array objectAtIndex:j - 1] intValue] > [temp intValue]; j --){
  [array exchangeObjectAtIndex:j - 1 withObjectAtIndex:j];
  }
  }
  }
  }

//二分插入排序

• (void)binaryInsertSort:(NSMutableArray *)mArray {
  //索引從1開始 默認讓出第一元素為默認有序表 從第二個元素開始比較
  for(int i = 1 ; i < [mArray count] ; i++){
  //二分查找
  int temp= [[mArray objectAtIndex:i] intValue];
  int left = 0;
  int right = i - 1;
  while (left <= right) {
  int middle = (left + right)/2;
  if(temp < [[mArray objectAtIndex:middle] intValue]){
  right = middle - 1;
  } else {
  left = middle + 1;
  }
  }
  //排序
  for(int j = i ; j > left; j --){
  [mArray replaceObjectAtIndex:j withObject:[mArray objectAtIndex:j - 1]];
  }
  [mArray replaceObjectAtIndex:left withObject:[NSNumber numberWithInt:temp]];
  }
  }

//希爾排序
-(void)shellSort:(NSMutableArray *)mArray {
int gap = (int)[mArray count] / 2;
while (gap >= 1) {
for(int i = gap ; i < [mArray count]; i ++){
int temp = [[mArray objectAtIndex:i] intValue];
int j = i;
while (j >= gap && temp < [[mArray objectAtIndex:(j - gap)] intValue]) {
[mArray replaceObjectAtIndex:j withObject:[mArray objectAtIndex:j-gap]];
j -= gap;
}
[mArray replaceObjectAtIndex:j withObject:[NSNumber numberWithInt:temp]];
}
gap = gap / 2;
}
}

//堆排序(目前不支持負數)

• (void)heapSort:(NSMutableArray *)mArray isAsc:(BOOL)isAsc {
  for (NSInteger i = mArray.count / 2 - 1; i >= 0; -- i) {
  [self siftWithLow:i high:mArray.count asc:isAsc array:mArray];
  }
  for (NSInteger i = mArray.count - 1; i >= 1; -- i) {
  id temp = mArray[0];
  mArray[0] = mArray[i];
  mArray[i] = temp;
  [self siftWithLow:0 high:i asc:isAsc array:mArray];
  }
  }

• (void)siftWithLow:(NSInteger)low high:(NSInteger)high asc:(BOOL)isAsc array:(NSMutableArray *)mArray {
  NSInteger left = 2 * low + 1;
  NSInteger right = left + 1;
  NSInteger lastIndex = low;
  //左子節點大的情況
  if (left < high && ((mArray[left] > mArray[lastIndex] && isAsc) || (mArray[left] < mArray[lastIndex] && !isAsc))) lastIndex = left;
  //右子節點大的情況
  if (right < high && ((mArray[right] > mArray[lastIndex] && isAsc) || (mArray[right] < mArray[lastIndex] && !isAsc))) lastIndex = right;
  //節點改變
  if (lastIndex != low) {
  //較大的節點值將交換到其所在節點的父節點
  id temp = mArray[low];
  mArray[low] = mArray[lastIndex];
  mArray[lastIndex] = temp;
  //遞歸遍歷
  [self siftWithLow:lastIndex high:high asc:isAsc array:mArray];
  }
  }
  @end