59d799dabc
* Moved the ExpressionParser class to shared. It's now built into its own static library. * Added hexadecimal number support to the expression parser as well as Evaluation*() methods to get a number instead of a string. git-svn-id: file:///srv/svn/repos/haiku/haiku/trunk@31298 a95241bf-73f2-0310-859d-f6bbb57e9c96
194 lines
5.3 KiB
C
194 lines
5.3 KiB
C
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/*
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* M_APM - mapm_sin.c
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*
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* Copyright (C) 1999 - 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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* $Id: mapm_sin.c,v 1.17 2007/12/03 01:48:31 mike Exp $
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*
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* This file contains the top level (user callable) SIN / COS / TAN
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* functions.
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*
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* $Log: mapm_sin.c,v $
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* Revision 1.17 2007/12/03 01:48:31 mike
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* Update license
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*
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* Revision 1.16 2002/11/03 21:53:47 mike
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* Updated function parameters to use the modern style
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*
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* Revision 1.15 2001/03/25 20:59:46 mike
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* move PI stuff to new file
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*
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* Revision 1.14 2001/02/07 19:12:14 mike
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* eliminate MM_skip_limit_PI_check
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*
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* Revision 1.13 2000/11/18 11:05:36 mike
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* minor code re-arrangement in PI AGM
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*
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* Revision 1.12 2000/07/11 23:34:42 mike
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* adjust loop break-out for AGM PI algorithm
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*
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* Revision 1.11 2000/07/11 20:19:47 mike
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* use new algorithm to compute PI (AGM)
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*
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* Revision 1.10 2000/05/21 01:07:57 mike
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* use _sin_cos in _tan function
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*
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* Revision 1.9 2000/05/19 17:13:56 mike
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* use local copies of PI variables & recompute
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* on the fly as needed
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*
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* Revision 1.8 1999/09/21 21:03:06 mike
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* make sure the sign of 'sin' from M_cos_to_sin is non-zero
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* before assigning it from the original angle.
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*
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* Revision 1.7 1999/09/18 03:27:27 mike
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* added m_apm_sin_cos
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*
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* Revision 1.6 1999/07/09 22:50:33 mike
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* skip limit to PI when not needed
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*
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* Revision 1.5 1999/06/20 23:42:29 mike
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* use new function for COS function
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*
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* Revision 1.4 1999/06/20 19:27:12 mike
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* changed local static variables to MAPM stack variables
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*
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* Revision 1.3 1999/05/17 03:54:56 mike
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* init globals in TAN function also
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*
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* Revision 1.2 1999/05/15 02:18:31 mike
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* add check for number of decimal places
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*
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* Revision 1.1 1999/05/10 20:56:31 mike
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* Initial revision
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*/
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#include "m_apm_lc.h"
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/****************************************************************************/
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void m_apm_sin(M_APM r, int places, M_APM a)
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{
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M_APM tmp3;
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tmp3 = M_get_stack_var();
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M_limit_angle_to_pi(tmp3, (places + 6), a);
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M_5x_sin(r, places, tmp3);
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M_restore_stack(1);
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}
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/****************************************************************************/
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void m_apm_cos(M_APM r, int places, M_APM a)
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{
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M_APM tmp3;
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tmp3 = M_get_stack_var();
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M_limit_angle_to_pi(tmp3, (places + 6), a);
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M_4x_cos(r, places, tmp3);
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M_restore_stack(1);
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}
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/****************************************************************************/
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void m_apm_sin_cos(M_APM sinv, M_APM cosv, int places, M_APM aa)
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{
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M_APM tmp5, tmp6, tmp7;
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tmp5 = M_get_stack_var();
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tmp6 = M_get_stack_var();
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tmp7 = M_get_stack_var();
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M_limit_angle_to_pi(tmp5, (places + 6), aa);
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M_4x_cos(tmp7, (places + 6), tmp5);
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/*
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* compute sin(x) = sqrt(1 - cos(x) ^ 2).
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*
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* note that the sign of 'sin' will always be positive after the
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* sqrt call. we need to adjust the sign based on what quadrant
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* the original angle is in.
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*/
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M_cos_to_sin(tmp6, (places + 6), tmp7);
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if (tmp6->m_apm_sign != 0)
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tmp6->m_apm_sign = tmp5->m_apm_sign;
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m_apm_round(sinv, places, tmp6);
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m_apm_round(cosv, places, tmp7);
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M_restore_stack(3);
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}
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/****************************************************************************/
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void m_apm_tan(M_APM r, int places, M_APM a)
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{
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M_APM tmps, tmpc, tmp0;
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tmps = M_get_stack_var();
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tmpc = M_get_stack_var();
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tmp0 = M_get_stack_var();
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m_apm_sin_cos(tmps, tmpc, (places + 4), a);
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/* tan(x) = sin(x) / cos(x) */
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m_apm_divide(tmp0, (places + 4), tmps, tmpc);
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m_apm_round(r, places, tmp0);
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M_restore_stack(3);
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}
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/****************************************************************************/
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void M_limit_angle_to_pi(M_APM rr, int places, M_APM aa)
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{
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M_APM tmp7, tmp8, tmp9;
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M_check_PI_places(places);
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tmp9 = M_get_stack_var();
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m_apm_copy(tmp9, MM_lc_PI);
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if (m_apm_compare(aa, tmp9) == 1) /* > PI */
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{
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tmp7 = M_get_stack_var();
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tmp8 = M_get_stack_var();
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m_apm_add(tmp7, aa, tmp9);
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m_apm_integer_divide(tmp9, tmp7, MM_lc_2_PI);
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m_apm_multiply(tmp8, tmp9, MM_lc_2_PI);
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m_apm_subtract(tmp9, aa, tmp8);
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m_apm_round(rr, places, tmp9);
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M_restore_stack(3);
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return;
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}
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tmp9->m_apm_sign = -1;
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if (m_apm_compare(aa, tmp9) == -1) /* < -PI */
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{
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tmp7 = M_get_stack_var();
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tmp8 = M_get_stack_var();
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m_apm_add(tmp7, aa, tmp9);
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m_apm_integer_divide(tmp9, tmp7, MM_lc_2_PI);
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m_apm_multiply(tmp8, tmp9, MM_lc_2_PI);
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m_apm_subtract(tmp9, aa, tmp8);
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m_apm_round(rr, places, tmp9);
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M_restore_stack(3);
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return;
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}
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m_apm_copy(rr, aa);
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M_restore_stack(1);
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}
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/****************************************************************************/
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