src/libs/mapm/mapmhsin.c

   1
   2 /*
   3  *  M_APM  -  mapmhsin.c
   4  *
   5  *  Copyright (C) 2000 - 2007   Michael C. Ring
   6  *
   7  *  Permission to use, copy, and distribute this software and its
   8  *  documentation for any purpose with or without fee is hereby granted,
   9  *  provided that the above copyright notice appear in all copies and
  10  *  that both that copyright notice and this permission notice appear
  11  *  in supporting documentation.
  12  *
  13  *  Permission to modify the software is granted. Permission to distribute
  14  *  the modified code is granted. Modifications are to be distributed by
  15  *  using the file 'license.txt' as a template to modify the file header.
  16  *  'license.txt' is available in the official MAPM distribution.
  17  *
  18  *  This software is provided "as is" without express or implied warranty.
  19  */
  20
  21 /*
  22  *      $Id: mapmhsin.c,v 1.4 2007/12/03 01:54:06 mike Exp $
  23  *
  24  *      This file contains the Hyperbolic SIN, COS, & TAN functions.
  25  *
  26  *      $Log: mapmhsin.c,v $
  27  *      Revision 1.4  2007/12/03 01:54:06  mike
  28  *      Update license
  29  *
  30  *      Revision 1.3  2002/11/03 21:29:20  mike
  31  *      Updated function parameters to use the modern style
  32  *
  33  *      Revision 1.2  2000/09/23 19:52:56  mike
  34  *      change divide call to reciprocal
  35  *
  36  *      Revision 1.1  2000/04/03 18:16:26  mike
  37  *      Initial revision
  38  */
  39
  40 #include "m_apm_lc.h"
  41
  42 /****************************************************************************/
  43 /*
  44  *      sinh(x) == 0.5 * [ exp(x) - exp(-x) ]
  45  */
  46 void    m_apm_sinh(M_APM rr, int places, M_APM aa)
  47 {
  48 M_APM   tmp1, tmp2, tmp3;
  49 int     local_precision;
  50
  51 tmp1 = M_get_stack_var();
  52 tmp2 = M_get_stack_var();
  53 tmp3 = M_get_stack_var();
  54
  55 local_precision = places + 4;
  56
  57 m_apm_exp(tmp1, local_precision, aa);
  58 m_apm_reciprocal(tmp2, local_precision, tmp1);
  59 m_apm_subtract(tmp3, tmp1, tmp2);
  60 m_apm_multiply(tmp1, tmp3, MM_0_5);
  61 m_apm_round(rr, places, tmp1);
  62
  63 M_restore_stack(3);
  64 }
  65 /****************************************************************************/
  66 /*
  67  *      cosh(x) == 0.5 * [ exp(x) + exp(-x) ]
  68  */
  69 void    m_apm_cosh(M_APM rr, int places, M_APM aa)
  70 {
  71 M_APM   tmp1, tmp2, tmp3;
  72 int     local_precision;
  73
  74 tmp1 = M_get_stack_var();
  75 tmp2 = M_get_stack_var();
  76 tmp3 = M_get_stack_var();
  77
  78 local_precision = places + 4;
  79
  80 m_apm_exp(tmp1, local_precision, aa);
  81 m_apm_reciprocal(tmp2, local_precision, tmp1);
  82 m_apm_add(tmp3, tmp1, tmp2);
  83 m_apm_multiply(tmp1, tmp3, MM_0_5);
  84 m_apm_round(rr, places, tmp1);
  85
  86 M_restore_stack(3);
  87 }
  88 /****************************************************************************/
  89 /*
  90  *      tanh(x) == [ exp(x) - exp(-x) ]  /  [ exp(x) + exp(-x) ]
  91  */
  92 void    m_apm_tanh(M_APM rr, int places, M_APM aa)
  93 {
  94 M_APM   tmp1, tmp2, tmp3, tmp4;
  95 int     local_precision;
  96
  97 tmp1 = M_get_stack_var();
  98 tmp2 = M_get_stack_var();
  99 tmp3 = M_get_stack_var();
 100 tmp4 = M_get_stack_var();
 101
 102 local_precision = places + 4;
 103
 104 m_apm_exp(tmp1, local_precision, aa);
 105 m_apm_reciprocal(tmp2, local_precision, tmp1);
 106 m_apm_subtract(tmp3, tmp1, tmp2);
 107 m_apm_add(tmp4, tmp1, tmp2);
 108 m_apm_divide(tmp1, local_precision, tmp3, tmp4);
 109 m_apm_round(rr, places, tmp1);
 110
 111 M_restore_stack(4);
 112 }
 113 /****************************************************************************/