..
  Copyright 1988-2022 Free Software Foundation, Inc.
  This is part of the GCC manual.
  For copying conditions, see the copyright.rst file.

.. _sinh:

.. index:: SINH

.. index:: DSINH

.. index:: hyperbolic sine

.. index:: hyperbolic function, sine

.. index:: sine, hyperbolic

SINH --- Hyperbolic sine function
**********************************

.. function:: SINH(X)

  ``SINH(X)`` computes the hyperbolic sine of :samp:`{X}`.

  :param X:
    The type shall be ``REAL`` or ``COMPLEX``.

  :return:
    The return value has same type and kind as :samp:`{X}`.

  Standard:
    Fortran 90 and later, for a complex argument Fortran 2008 or later, has
    a GNU extension

  Class:
    Elemental function

  Syntax:
    .. code-block:: fortran

      RESULT = SINH(X)

  Example:
    .. code-block:: fortran

      program test_sinh
        real(8) :: x = - 1.0_8
        x = sinh(x)
      end program test_sinh

  Specific names:
    .. list-table::
       :header-rows: 1

       * - Name
         - Argument
         - Return type
         - Standard

       * - ``DSINH(X)``
         - ``REAL(8) X``
         - ``REAL(8)``
         - Fortran 90 and later

  See also:
    :ref:`ASINH`