class_docstr: Class for the n-dimensional Poincare half-space.
  
  Class for the n-dimensional Poincaré half space model. For other
  representations of hyperbolic spaces see the `Hyperbolic` class.
  
  Parameters
  ----------
  dim : int
      Dimension of the hyperbolic space.
docstr: Project a point in ambient space to the open set.
  
  The last coordinate is floored to `atol` if it is negative.
  
  Parameters
  ----------
  point : array-like, shape=[..., dim_embedding]
      Point in ambient space.
  atol : float
      Tolerance to evaluate positivity.
  
  Returns
  -------
  projected : array-like, shape=[..., dim_embedding]
      Projected point.
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code: def projection(self, point, atol=gs.atol):
      """Project a point in ambient space to the open set.
  
      The last coordinate is floored to `atol` if it is negative.
  
      Parameters
      ----------
      point : array-like, shape=[..., dim_embedding]
          Point in ambient space.
      atol : float
          Tolerance to evaluate positivity.
  
      Returns
      -------
      projected : array-like, shape=[..., dim_embedding]
          Projected point.
      """
      last = gs.where(point[..., -1] < atol, atol, point[..., -1])
      return gs.concatenate([point[..., :-1], last[..., None]], axis=-1)
  
imports: import math
  import geomstats.backend
  from geomstats.geometry._hyperbolic import _Hyperbolic
  from geomstats.geometry.base import VectorSpaceOpenSet
  from geomstats.geometry.euclidean import Euclidean
  from geomstats.geometry.poincare_ball import PoincareBall
  from geomstats.geometry.riemannian_metric import RiemannianMetric
  from geomstats.vectorization import repeat_out
label_desc: Use image node_id 4 for calling the PoincareHalfSpace obj's underlying member method code with example usage: obj.projection(point, atol) and returns: gs