* M_APM - mapmhsin.c
*
* Copyright (C) 2000 - 2007 Michael C. Ring
*
* Permission to use, copy, and distribute this software and its
* documentation for any purpose with or without fee is hereby granted,
* provided that the above copyright notice appear in all copies and
* that both that copyright notice and this permission notice appear
* in supporting documentation.
*
* Permission to modify the software is granted. Permission to distribute
* the modified code is granted. Modifications are to be distributed by
* using the file 'license.txt' as a template to modify the file header.
* 'license.txt' is available in the official MAPM distribution.
*
* This software is provided "as is" without express or implied warranty.
*/
* $Id: mapmhsin.c,v 1.4 2007/12/03 01:54:06 mike Exp $
*
* This file contains the Hyperbolic SIN, COS, & TAN functions.
*
* $Log: mapmhsin.c,v $
* Revision 1.4 2007/12/03 01:54:06 mike
* Update license
*
* Revision 1.3 2002/11/03 21:29:20 mike
* Updated function parameters to use the modern style
*
* Revision 1.2 2000/09/23 19:52:56 mike
* change divide call to reciprocal
*
* Revision 1.1 2000/04/03 18:16:26 mike
* Initial revision
*/
#include "m_apm_lc.h"
* sinh(x) == 0.5 * [ exp(x) - exp(-x) ]
*/
void m_apm_sinh(M_APM rr, int places, M_APM aa)
{
M_APM tmp1, tmp2, tmp3;
int local_precision;
tmp1 = M_get_stack_var();
tmp2 = M_get_stack_var();
tmp3 = M_get_stack_var();
local_precision = places + 4;
m_apm_exp(tmp1, local_precision, aa);
m_apm_reciprocal(tmp2, local_precision, tmp1);
m_apm_subtract(tmp3, tmp1, tmp2);
m_apm_multiply(tmp1, tmp3, MM_0_5);
m_apm_round(rr, places, tmp1);
M_restore_stack(3);
}
* cosh(x) == 0.5 * [ exp(x) + exp(-x) ]
*/
void m_apm_cosh(M_APM rr, int places, M_APM aa)
{
M_APM tmp1, tmp2, tmp3;
int local_precision;
tmp1 = M_get_stack_var();
tmp2 = M_get_stack_var();
tmp3 = M_get_stack_var();
local_precision = places + 4;
m_apm_exp(tmp1, local_precision, aa);
m_apm_reciprocal(tmp2, local_precision, tmp1);
m_apm_add(tmp3, tmp1, tmp2);
m_apm_multiply(tmp1, tmp3, MM_0_5);
m_apm_round(rr, places, tmp1);
M_restore_stack(3);
}
* tanh(x) == [ exp(x) - exp(-x) ] / [ exp(x) + exp(-x) ]
*/
void m_apm_tanh(M_APM rr, int places, M_APM aa)
{
M_APM tmp1, tmp2, tmp3, tmp4;
int local_precision;
tmp1 = M_get_stack_var();
tmp2 = M_get_stack_var();
tmp3 = M_get_stack_var();
tmp4 = M_get_stack_var();
local_precision = places + 4;
m_apm_exp(tmp1, local_precision, aa);
m_apm_reciprocal(tmp2, local_precision, tmp1);
m_apm_subtract(tmp3, tmp1, tmp2);
m_apm_add(tmp4, tmp1, tmp2);
m_apm_divide(tmp1, local_precision, tmp3, tmp4);
m_apm_round(rr, places, tmp1);
M_restore_stack(4);
}
