code: def dst(x, type=2, n=None, axis=-1, norm=None, overwrite_x=False):
      """
      Return the Discrete Sine Transform of arbitrary type sequence x.
  
      Parameters
      ----------
      x : array_like
          The input array.
      type : {1, 2, 3, 4}, optional
          Type of the DST (see Notes). Default type is 2.
      n : int, optional
          Length of the transform.  If ``n < x.shape[axis]``, `x` is
          truncated.  If ``n > x.shape[axis]``, `x` is zero-padded. The
          default results in ``n = x.shape[axis]``.
      axis : int, optional
          Axis along which the dst is computed; the default is over the
          last axis (i.e., ``axis=-1``).
      norm : {None, 'ortho'}, optional
          Normalization mode (see Notes). Default is None.
      overwrite_x : bool, optional
          If True, the contents of `x` can be destroyed; the default is False.
  
      Returns
      -------
      dst : ndarray of reals
          The transformed input array.
  
      See Also
      --------
      idst : Inverse DST
  
      Notes
      -----
      For a single dimension array ``x``.
  
      There are theoretically 8 types of the DST for different combinations of
      even/odd boundary conditions and boundary off sets [1]_, only the first
      3 types are implemented in scipy.
  
      **Type I**
  
      There are several definitions of the DST-I; we use the following
      for ``norm=None``.  DST-I assumes the input is odd around n=-1 and n=N. ::
  
                   N-1
        y[k] = 2 * sum x[n]*sin(pi*(k+1)*(n+1)/(N+1))
                   n=0
  
      Note that the DST-I is only supported for input size > 1
      The (unnormalized) DST-I is its own inverse, up to a factor `2(N+1)`.
      The orthonormalized DST-I is exactly its own inverse.
  
      **Type II**
  
      There are several definitions of the DST-II; we use the following
      for ``norm=None``.  DST-II assumes the input is odd around n=-1/2 and
      n=N-1/2; the output is odd around k=-1 and even around k=N-1 ::
  
                  N-1
        y[k] = 2* sum x[n]*sin(pi*(k+1)*(n+0.5)/N), 0 <= k < N.
                  n=0
  
      if ``norm='ortho'``, ``y[k]`` is multiplied by a scaling factor `f` ::
  
          f = sqrt(1/(4*N)) if k == 0
          f = sqrt(1/(2*N)) otherwise.
  
      **Type III**
  
      There are several definitions of the DST-III, we use the following
      (for ``norm=None``).  DST-III assumes the input is odd around n=-1
      and even around n=N-1 ::
  
                                   N-2
        y[k] = x[N-1]*(-1)**k + 2* sum x[n]*sin(pi*(k+0.5)*(n+1)/N), 0 <= k < N.
                                   n=0
  
      The (unnormalized) DST-III is the inverse of the (unnormalized) DST-II, up
      to a factor `2N`.  The orthonormalized DST-III is exactly the inverse of
      the orthonormalized DST-II.
  
      .. versionadded:: 0.11.0
  
      **Type IV**
  
      There are several definitions of the DST-IV, we use the following
      (for ``norm=None``).  DST-IV assumes the input is odd around n=-0.5
      and even around n=N-0.5 ::
  
                  N-1
        y[k] = 2* sum x[n]*sin(pi*(k+0.5)*(n+0.5)/N), 0 <= k < N.
                  n=0
  
      The (unnormalized) DST-IV is its own inverse, up
      to a factor `2N`.  The orthonormalized DST-IV is exactly its own inverse.
  
      .. versionadded:: 1.2.0
         Support for DST-IV.
  
      References
      ----------
      .. [1] Wikipedia, "Discrete sine transform",
             https://en.wikipedia.org/wiki/Discrete_sine_transform
  
      """
      return _dst(
          x, type, n, axis, normalize=norm, overwrite_x=overwrite_x
      )
  
imports: from __future__ import division, print_function, absolute_import
  import numpy
  from scipy.fftpack import _fftpack
  from scipy.fftpack.basic import _datacopied, _fix_shape, _asfarray
  from scipy.fftpack.helper import _init_nd_shape_and_axes
  import atexit
label_desc: Use image node_id 14 for calling a global function with example usage: dst(x, type, n, axis, norm, overwrite_x) and returns: _dst