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 */
46void	m_apm_sinh(M_APM rr, int places, M_APM aa)
47{
48M_APM	tmp1, tmp2, tmp3;
49int     local_precision;
50
51tmp1 = M_get_stack_var();
52tmp2 = M_get_stack_var();
53tmp3 = M_get_stack_var();
54
55local_precision = places + 4;
56
57m_apm_exp(tmp1, local_precision, aa);
58m_apm_reciprocal(tmp2, local_precision, tmp1);
59m_apm_subtract(tmp3, tmp1, tmp2);
60m_apm_multiply(tmp1, tmp3, MM_0_5);
61m_apm_round(rr, places, tmp1);
62
63M_restore_stack(3);
64}
65/****************************************************************************/
66/*
67 *      cosh(x) == 0.5 * [ exp(x) + exp(-x) ]
68 */
69void	m_apm_cosh(M_APM rr, int places, M_APM aa)
70{
71M_APM	tmp1, tmp2, tmp3;
72int     local_precision;
73
74tmp1 = M_get_stack_var();
75tmp2 = M_get_stack_var();
76tmp3 = M_get_stack_var();
77
78local_precision = places + 4;
79
80m_apm_exp(tmp1, local_precision, aa);
81m_apm_reciprocal(tmp2, local_precision, tmp1);
82m_apm_add(tmp3, tmp1, tmp2);
83m_apm_multiply(tmp1, tmp3, MM_0_5);
84m_apm_round(rr, places, tmp1);
85
86M_restore_stack(3);
87}
88/****************************************************************************/
89/*
90 *      tanh(x) == [ exp(x) - exp(-x) ]  /  [ exp(x) + exp(-x) ]
91 */
92void	m_apm_tanh(M_APM rr, int places, M_APM aa)
93{
94M_APM	tmp1, tmp2, tmp3, tmp4;
95int     local_precision;
96
97tmp1 = M_get_stack_var();
98tmp2 = M_get_stack_var();
99tmp3 = M_get_stack_var();
100tmp4 = M_get_stack_var();
101
102local_precision = places + 4;
103
104m_apm_exp(tmp1, local_precision, aa);
105m_apm_reciprocal(tmp2, local_precision, tmp1);
106m_apm_subtract(tmp3, tmp1, tmp2);
107m_apm_add(tmp4, tmp1, tmp2);
108m_apm_divide(tmp1, local_precision, tmp3, tmp4);
109m_apm_round(rr, places, tmp1);
110
111M_restore_stack(4);
112}
113/****************************************************************************/
114