code: def _calculate_p_value(
      con_min_dis_pairs: Tensor,
      n_total: Tensor,
      preds_ties: Optional[Tensor],
      preds_ties_p1: Optional[Tensor],
      preds_ties_p2: Optional[Tensor],
      target_ties: Optional[Tensor],
      target_ties_p1: Optional[Tensor],
      target_ties_p2: Optional[Tensor],
      variant: _MetricVariant,
      alternative: Optional[_TestAlternative],
  ) -> Tensor:
      """Calculate p-value for Kendall's tau from metric metadata."""
      t_value_denominator_base = (
          n_total * (n_total - 1) * (2 * n_total + 5)
      )
      if variant == _MetricVariant.A:
          t_value = (
              3
              * con_min_dis_pairs
              / torch.sqrt(t_value_denominator_base / 2)
          )
      else:
          m = n_total * (n_total - 1)
          t_value_denominator: Tensor = (
              t_value_denominator_base - preds_ties_p2 - target_ties_p2
          ) / 18
          t_value_denominator += (2 * preds_ties * target_ties) / m  # type: ignore
          t_value_denominator += preds_ties_p1 * target_ties_p1 / (9 * m * (n_total - 2))  # type: ignore
          t_value = con_min_dis_pairs / torch.sqrt(t_value_denominator)
  
      if alternative == _TestAlternative.TWO_SIDED:
          t_value = torch.abs(t_value)
      if alternative in [
          _TestAlternative.TWO_SIDED,
          _TestAlternative.GREATER,
      ]:
          t_value *= -1
      p_value = _get_p_value_for_t_value_from_dist(t_value)
      if alternative == _TestAlternative.TWO_SIDED:
          p_value *= 2
      return p_value
  
imports: from typing import List, Optional, Tuple, Union
  import torch
  from torch import Tensor
  from typing_extensions import Literal
  from torchmetrics.functional.regression.utils import _check_data_shape_to_num_outputs
  from torchmetrics.utilities.checks import _check_same_shape
  from torchmetrics.utilities.data import _bincount, _cumsum, dim_zero_cat
  from torchmetrics.utilities.enums import EnumStr
label_desc: Use image node_id 11 for calling a global function with example usage: _calculate_p_value(con_min_dis_pairs, n_total, preds_ties, preds_ties_p1, preds_ties_p2, target_ties, target_ties_p1, target_ties_p2, variant, alternative) and returns: p_value