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/*
* M_APM - mapm_sin.c
*
* Copyright (C) 1999 - 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.
*/
/*
*
* This file contains the top level (user callable) SIN / COS / TAN
* functions.
*
*/
#include "pgAdmin3.h"
#include "pgscript/utilities/mapm-lib/m_apm_lc.h"
/****************************************************************************/
void m_apm_sin(M_APM r, int places, M_APM a)
{
M_APM tmp3;
tmp3 = M_get_stack_var();
M_limit_angle_to_pi(tmp3, (places + 6), a);
M_5x_sin(r, places, tmp3);
M_restore_stack(1);
}
/****************************************************************************/
void m_apm_cos(M_APM r, int places, M_APM a)
{
M_APM tmp3;
tmp3 = M_get_stack_var();
M_limit_angle_to_pi(tmp3, (places + 6), a);
M_4x_cos(r, places, tmp3);
M_restore_stack(1);
}
/****************************************************************************/
void m_apm_sin_cos(M_APM sinv, M_APM cosv, int places, M_APM aa)
{
M_APM tmp5, tmp6, tmp7;
tmp5 = M_get_stack_var();
tmp6 = M_get_stack_var();
tmp7 = M_get_stack_var();
M_limit_angle_to_pi(tmp5, (places + 6), aa);
M_4x_cos(tmp7, (places + 6), tmp5);
/*
* compute sin(x) = sqrt(1 - cos(x) ^ 2).
*
* note that the sign of 'sin' will always be positive after the
* sqrt call. we need to adjust the sign based on what quadrant
* the original angle is in.
*/
M_cos_to_sin(tmp6, (places + 6), tmp7);
if (tmp6->m_apm_sign != 0)
tmp6->m_apm_sign = tmp5->m_apm_sign;
m_apm_round(sinv, places, tmp6);
m_apm_round(cosv, places, tmp7);
M_restore_stack(3);
}
/****************************************************************************/
void m_apm_tan(M_APM r, int places, M_APM a)
{
M_APM tmps, tmpc, tmp0;
tmps = M_get_stack_var();
tmpc = M_get_stack_var();
tmp0 = M_get_stack_var();
m_apm_sin_cos(tmps, tmpc, (places + 4), a);
/* tan(x) = sin(x) / cos(x) */
m_apm_divide(tmp0, (places + 4), tmps, tmpc);
m_apm_round(r, places, tmp0);
M_restore_stack(3);
}
/****************************************************************************/
void M_limit_angle_to_pi(M_APM rr, int places, M_APM aa)
{
M_APM tmp7, tmp8, tmp9;
M_check_PI_places(places);
tmp9 = M_get_stack_var();
m_apm_copy(tmp9, MM_lc_PI);
if (m_apm_compare(aa, tmp9) == 1) /* > PI */
{
tmp7 = M_get_stack_var();
tmp8 = M_get_stack_var();
m_apm_add(tmp7, aa, tmp9);
m_apm_integer_divide(tmp9, tmp7, MM_lc_2_PI);
m_apm_multiply(tmp8, tmp9, MM_lc_2_PI);
m_apm_subtract(tmp9, aa, tmp8);
m_apm_round(rr, places, tmp9);
M_restore_stack(3);
return;
}
tmp9->m_apm_sign = -1;
if (m_apm_compare(aa, tmp9) == -1) /* < -PI */
{
tmp7 = M_get_stack_var();
tmp8 = M_get_stack_var();
m_apm_add(tmp7, aa, tmp9);
m_apm_integer_divide(tmp9, tmp7, MM_lc_2_PI);
m_apm_multiply(tmp8, tmp9, MM_lc_2_PI);
m_apm_subtract(tmp9, aa, tmp8);
m_apm_round(rr, places, tmp9);
M_restore_stack(3);
return;
}
m_apm_copy(rr, aa);
M_restore_stack(1);
}
/****************************************************************************/
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