sinh$m (2) --- calculate hyperbolic sine                 04/27/83


          | _C_a_l_l_i_n_g _I_n_f_o_r_m_a_t_i_o_n

          |      longreal function sinh$m (x)
          |      real x

          |      Library: vswtmath (Subsystem mathematical library)


          | _F_u_n_c_t_i_o_n

          |      This routine calculates the hyperbolic sine of its argument,
          |      defined  as  sinh(x)  =  [exp(x) - exp(-x)]/2.  The argument
          |      must  be  smaller  than  22623.630826296.    The   condition
          |      SWT_MATH_ERROR$  is signalled if there is an argument error.
          |      An on-unit can be established to deal with this  error;  the
          |      SWT  Math  Library  contains a default handler named 'err$m'
          |      which the user may utilize.  If an error is  signalled,  the
          |      default return value will be zero.

          |      This  function  is  intended  to serve as a single precision
          |      function although it returns a double precision result.  The
          |      function has been coded so that any value returned will  not
          |      overflow  or  underflow  a  single  precision floating point
          |      value.  The double precision register  overlaps  the  single
          |      precision register so it is possible to declare and use this
          |      function as simply a "real" function.


          | _I_m_p_l_e_m_e_n_t_a_t_i_o_n

          |      The  algorithm  was  adapted from the algorithm given in the
          |      book _S_o_f_t_w_a_r_e _M_a_n_u_a_l _f_o_r _t_h_e _E_l_e_m_e_n_t_a_r_y _F_u_n_c_t_i_o_n_s by William
          |      Waite and William Cody, Jr.  (Prentice-Hall, 1980).


          | _C_a_l_l_s

          |      dexp$m, Primos signl$


          | _S_e_e _A_l_s_o

          |      cosh$m (2), dexp$m (2), dsnh$m (2), err$m (2),
          |      _S_W_T _M_a_t_h _L_i_b_r_a_r_y _U_s_e_r_'_s _G_u_i_d_e














            sinh$m (2)                    - 1 -                    sinh$m (2)