mirror of
https://github.com/levinsv/pgadmin3.git
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132 lines
3.2 KiB
C++
132 lines
3.2 KiB
C++
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/*
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* M_APM - mapmhasn.c
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*
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* Copyright (C) 2000 - 2007 Michael C. Ring
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*
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* Permission to use, copy, and distribute this software and its
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* documentation for any purpose with or without fee is hereby granted,
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* provided that the above copyright notice appear in all copies and
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* that both that copyright notice and this permission notice appear
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* in supporting documentation.
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*
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* Permission to modify the software is granted. Permission to distribute
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* the modified code is granted. Modifications are to be distributed by
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* using the file 'license.txt' as a template to modify the file header.
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* 'license.txt' is available in the official MAPM distribution.
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*
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* This software is provided "as is" without express or implied warranty.
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*/
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/*
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*
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* This file contains the Inverse Hyperbolic SIN, COS, & TAN functions.
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*/
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#include "pgAdmin3.h"
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#include "pgscript/utilities/mapm-lib/m_apm_lc.h"
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/****************************************************************************/
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/*
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* arcsinh(x) == log [ x + sqrt(x^2 + 1) ]
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*
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* also, use arcsinh(-x) == -arcsinh(x)
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*/
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void m_apm_arcsinh(M_APM rr, int places, M_APM aa)
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{
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M_APM tmp0, tmp1, tmp2;
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/* result is 0 if input is 0 */
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if (aa->m_apm_sign == 0)
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{
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M_set_to_zero(rr);
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return;
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}
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tmp0 = M_get_stack_var();
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tmp1 = M_get_stack_var();
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tmp2 = M_get_stack_var();
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m_apm_absolute_value(tmp0, aa);
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m_apm_multiply(tmp1, tmp0, tmp0);
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m_apm_add(tmp2, tmp1, MM_One);
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m_apm_sqrt(tmp1, (places + 6), tmp2);
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m_apm_add(tmp2, tmp0, tmp1);
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m_apm_log(rr, places, tmp2);
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rr->m_apm_sign = aa->m_apm_sign; /* fix final sign */
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M_restore_stack(3);
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}
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/****************************************************************************/
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/*
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* arccosh(x) == log [ x + sqrt(x^2 - 1) ]
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*
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* x >= 1.0
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*/
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void m_apm_arccosh(M_APM rr, int places, M_APM aa)
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{
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M_APM tmp1, tmp2;
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int ii;
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ii = m_apm_compare(aa, MM_One);
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if (ii == -1) /* x < 1 */
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{
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M_apm_log_error_msg(M_APM_RETURN, "\'m_apm_arccosh\', Argument < 1");
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M_set_to_zero(rr);
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return;
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}
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tmp1 = M_get_stack_var();
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tmp2 = M_get_stack_var();
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m_apm_multiply(tmp1, aa, aa);
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m_apm_subtract(tmp2, tmp1, MM_One);
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m_apm_sqrt(tmp1, (places + 6), tmp2);
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m_apm_add(tmp2, aa, tmp1);
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m_apm_log(rr, places, tmp2);
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M_restore_stack(2);
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}
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/****************************************************************************/
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/*
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* arctanh(x) == 0.5 * log [ (1 + x) / (1 - x) ]
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*
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* |x| < 1.0
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*/
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void m_apm_arctanh(M_APM rr, int places, M_APM aa)
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{
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M_APM tmp1, tmp2, tmp3;
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int ii, local_precision;
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tmp1 = M_get_stack_var();
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m_apm_absolute_value(tmp1, aa);
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ii = m_apm_compare(tmp1, MM_One);
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if (ii >= 0) /* |x| >= 1.0 */
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{
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M_apm_log_error_msg(M_APM_RETURN, "\'m_apm_arctanh\', |Argument| >= 1");
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M_set_to_zero(rr);
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M_restore_stack(1);
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return;
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}
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tmp2 = M_get_stack_var();
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tmp3 = M_get_stack_var();
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local_precision = places + 8;
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m_apm_add(tmp1, MM_One, aa);
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m_apm_subtract(tmp2, MM_One, aa);
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m_apm_divide(tmp3, local_precision, tmp1, tmp2);
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m_apm_log(tmp2, local_precision, tmp3);
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m_apm_multiply(tmp1, tmp2, MM_0_5);
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m_apm_round(rr, places, tmp1);
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M_restore_stack(3);
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}
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/****************************************************************************/
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