/* * M_APM - mapmcnst.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. */ /* * $Id: mapmcnst.c,v 1.24 2007/12/03 01:51:16 mike Exp $ * * This file contains declarations and initializes the constants * used throughout the library. * * $Log: mapmcnst.c,v $ * Revision 1.24 2007/12/03 01:51:16 mike * Update license * * Revision 1.23 2003/05/06 21:28:53 mike * add lib version functions * * Revision 1.22 2003/03/30 21:14:16 mike * add local copies of log(2) and log(10) * * Revision 1.21 2002/11/03 22:45:29 mike * Updated function parameters to use the modern style * * Revision 1.20 2002/05/17 22:40:25 mike * call m_apm_init from cpp_precision to init the library * if it hasn't been done yet. * * Revision 1.19 2001/07/16 19:40:12 mike * add function M_free_all_cnst * * Revision 1.18 2001/02/07 19:17:58 mike * eliminate MM_skip_limit_PI_check * * Revision 1.17 2000/05/19 16:31:02 mike * add local copies for PI variables * * Revision 1.16 2000/05/04 23:52:03 mike * added new constant, 256R. * renamed _008 to _125R * * Revision 1.15 2000/04/11 18:44:21 mike * no longer need the constant 'Fifteen' * * Revision 1.14 2000/04/05 20:12:53 mike * add C++ min precision function * * Revision 1.13 1999/07/09 22:47:48 mike * add skip limit PI check * * Revision 1.12 1999/07/08 23:34:50 mike * change constant * * Revision 1.11 1999/07/08 22:58:08 mike * add new constant * * Revision 1.10 1999/06/23 01:09:53 mike * added new constant 15 * * Revision 1.9 1999/06/20 23:32:30 mike * added new constants * * Revision 1.8 1999/06/20 19:24:14 mike * delete constants no longer needed * * Revision 1.7 1999/06/20 18:57:29 mike * fixed missing init for new constants * * Revision 1.6 1999/06/20 18:53:44 mike * added more constants * * Revision 1.5 1999/05/31 23:50:30 mike * delete constants no longer needed * * Revision 1.4 1999/05/14 19:50:22 mike * added more constants with more digits * * Revision 1.3 1999/05/12 20:53:08 mike * added more constants * * Revision 1.2 1999/05/10 21:52:24 mike * added some comments * * Revision 1.1 1999/05/10 20:56:31 mike * Initial revision */ #include "m_apm_lc.h" int MM_lc_PI_digits = 0; int MM_lc_log_digits; int MM_cpp_min_precision; /* only used in C++ wrapper */ M_APM MM_Zero = NULL; M_APM MM_One = NULL; M_APM MM_Two = NULL; M_APM MM_Three = NULL; M_APM MM_Four = NULL; M_APM MM_Five = NULL; M_APM MM_Ten = NULL; M_APM MM_0_5 = NULL; M_APM MM_E = NULL; M_APM MM_PI = NULL; M_APM MM_HALF_PI = NULL; M_APM MM_2_PI = NULL; M_APM MM_lc_PI = NULL; M_APM MM_lc_HALF_PI = NULL; M_APM MM_lc_2_PI = NULL; M_APM MM_lc_log2 = NULL; M_APM MM_lc_log10 = NULL; M_APM MM_lc_log10R = NULL; M_APM MM_0_85 = NULL; M_APM MM_5x_125R = NULL; M_APM MM_5x_64R = NULL; M_APM MM_5x_256R = NULL; M_APM MM_5x_Eight = NULL; M_APM MM_5x_Sixteen = NULL; M_APM MM_5x_Twenty = NULL; M_APM MM_LOG_E_BASE_10 = NULL; M_APM MM_LOG_10_BASE_E = NULL; M_APM MM_LOG_2_BASE_E = NULL; M_APM MM_LOG_3_BASE_E = NULL; static char MM_cnst_PI[] = "3.1415926535897932384626433832795028841971693993751058209749445923078\ 1640628620899862803482534211706798214808651328230664709384460955"; static char MM_cnst_E[] = "2.7182818284590452353602874713526624977572470936999595749669676277240\ 76630353547594571382178525166427427466391932003059921817413596629"; static char MM_cnst_log_2[] = "0.6931471805599453094172321214581765680755001343602552541206800094933\ 93621969694715605863326996418687542001481020570685733685520235758"; static char MM_cnst_log_3[] = "1.0986122886681096913952452369225257046474905578227494517346943336374\ 9429321860896687361575481373208878797002906595786574236800422593"; static char MM_cnst_log_10[] = "2.3025850929940456840179914546843642076011014886287729760333279009675\ 7260967735248023599720508959829834196778404228624863340952546508"; static char MM_cnst_1_log_10[] = "0.4342944819032518276511289189166050822943970058036665661144537831658\ 64649208870774729224949338431748318706106744766303733641679287159"; /* * the following constants have ~520 digits each, if needed */ /* static char MM_cnst_PI[] = "3.1415926535897932384626433832795028841971693993751058209749445923078\ 164062862089986280348253421170679821480865132823066470938446095505822\ 317253594081284811174502841027019385211055596446229489549303819644288\ 109756659334461284756482337867831652712019091456485669234603486104543\ 266482133936072602491412737245870066063155881748815209209628292540917\ 153643678925903600113305305488204665213841469519415116094330572703657\ 595919530921861173819326117931051185480744623799627495673518857527248\ 91227938183011949129833673362440656643"; static char MM_cnst_E[] = "2.7182818284590452353602874713526624977572470936999595749669676277240\ 766303535475945713821785251664274274663919320030599218174135966290435\ 729003342952605956307381323286279434907632338298807531952510190115738\ 341879307021540891499348841675092447614606680822648001684774118537423\ 454424371075390777449920695517027618386062613313845830007520449338265\ 602976067371132007093287091274437470472306969772093101416928368190255\ 151086574637721112523897844250569536967707854499699679468644549059879\ 3163688923009879312773617821542499923"; static char MM_cnst_log_2[] = "0.6931471805599453094172321214581765680755001343602552541206800094933\ 936219696947156058633269964186875420014810205706857336855202357581305\ 570326707516350759619307275708283714351903070386238916734711233501153\ 644979552391204751726815749320651555247341395258829504530070953263666\ 426541042391578149520437404303855008019441706416715186447128399681717\ 845469570262716310645461502572074024816377733896385506952606683411372\ 738737229289564935470257626520988596932019650585547647033067936544325\ 47632744951250406069438147104689946506"; static char MM_cnst_log_3[] = "1.0986122886681096913952452369225257046474905578227494517346943336374\ 942932186089668736157548137320887879700290659578657423680042259305198\ 210528018707672774106031627691833813671793736988443609599037425703167\ 959115211455919177506713470549401667755802222031702529468975606901065\ 215056428681380363173732985777823669916547921318181490200301038236301\ 222486527481982259910974524908964580534670088459650857484441190188570\ 876474948670796130858294116021661211840014098255143919487688936798494\ 3022557315353296853452952514592138765"; static char MM_cnst_log_10[] = "2.3025850929940456840179914546843642076011014886287729760333279009675\ 726096773524802359972050895982983419677840422862486334095254650828067\ 566662873690987816894829072083255546808437998948262331985283935053089\ 653777326288461633662222876982198867465436674744042432743651550489343\ 149393914796194044002221051017141748003688084012647080685567743216228\ 355220114804663715659121373450747856947683463616792101806445070648000\ 277502684916746550586856935673420670581136429224554405758925724208241\ 31469568901675894025677631135691929203"; static char MM_cnst_1_log_10[] = "0.4342944819032518276511289189166050822943970058036665661144537831658\ 646492088707747292249493384317483187061067447663037336416792871589639\ 065692210646628122658521270865686703295933708696588266883311636077384\ 905142844348666768646586085135561482123487653435434357317253835622281\ 395603048646652366095539377356176323431916710991411597894962993512457\ 934926357655469077671082419150479910989674900103277537653570270087328\ 550951731440674697951899513594088040423931518868108402544654089797029\ 86328682876262414401345704354613292060"; */ /****************************************************************************/ char *m_apm_lib_version(char *v) { strcpy(v, MAPM_LIB_VERSION); return(v); } /****************************************************************************/ char *m_apm_lib_short_version(char *v) { strcpy(v, MAPM_LIB_SHORT_VERSION); return(v); } /****************************************************************************/ void M_free_all_cnst() { if (MM_lc_PI_digits != 0) { m_apm_free(MM_Zero); m_apm_free(MM_One); m_apm_free(MM_Two); m_apm_free(MM_Three); m_apm_free(MM_Four); m_apm_free(MM_Five); m_apm_free(MM_Ten); m_apm_free(MM_0_5); m_apm_free(MM_LOG_2_BASE_E); m_apm_free(MM_LOG_3_BASE_E); m_apm_free(MM_E); m_apm_free(MM_PI); m_apm_free(MM_HALF_PI); m_apm_free(MM_2_PI); m_apm_free(MM_lc_PI); m_apm_free(MM_lc_HALF_PI); m_apm_free(MM_lc_2_PI); m_apm_free(MM_lc_log2); m_apm_free(MM_lc_log10); m_apm_free(MM_lc_log10R); m_apm_free(MM_0_85); m_apm_free(MM_5x_125R); m_apm_free(MM_5x_64R); m_apm_free(MM_5x_256R); m_apm_free(MM_5x_Eight); m_apm_free(MM_5x_Sixteen); m_apm_free(MM_5x_Twenty); m_apm_free(MM_LOG_E_BASE_10); m_apm_free(MM_LOG_10_BASE_E); MM_lc_PI_digits = 0; } } /****************************************************************************/ void M_init_trig_globals() { MM_lc_PI_digits = VALID_DECIMAL_PLACES; MM_lc_log_digits = VALID_DECIMAL_PLACES; MM_cpp_min_precision = 30; MM_Zero = m_apm_init(); MM_One = m_apm_init(); MM_Two = m_apm_init(); MM_Three = m_apm_init(); MM_Four = m_apm_init(); MM_Five = m_apm_init(); MM_Ten = m_apm_init(); MM_0_5 = m_apm_init(); MM_LOG_2_BASE_E = m_apm_init(); MM_LOG_3_BASE_E = m_apm_init(); MM_E = m_apm_init(); MM_PI = m_apm_init(); MM_HALF_PI = m_apm_init(); MM_2_PI = m_apm_init(); MM_lc_PI = m_apm_init(); MM_lc_HALF_PI = m_apm_init(); MM_lc_2_PI = m_apm_init(); MM_lc_log2 = m_apm_init(); MM_lc_log10 = m_apm_init(); MM_lc_log10R = m_apm_init(); MM_0_85 = m_apm_init(); MM_5x_125R = m_apm_init(); MM_5x_64R = m_apm_init(); MM_5x_256R = m_apm_init(); MM_5x_Eight = m_apm_init(); MM_5x_Sixteen = m_apm_init(); MM_5x_Twenty = m_apm_init(); MM_LOG_E_BASE_10 = m_apm_init(); MM_LOG_10_BASE_E = m_apm_init(); m_apm_set_string(MM_One, "1"); m_apm_set_string(MM_Two, "2"); m_apm_set_string(MM_Three, "3"); m_apm_set_string(MM_Four, "4"); m_apm_set_string(MM_Five, "5"); m_apm_set_string(MM_Ten, "10"); m_apm_set_string(MM_0_5, "0.5"); m_apm_set_string(MM_0_85, "0.85"); m_apm_set_string(MM_5x_125R, "8.0E-3"); m_apm_set_string(MM_5x_64R, "1.5625E-2"); m_apm_set_string(MM_5x_256R, "3.90625E-3"); m_apm_set_string(MM_5x_Eight, "8"); m_apm_set_string(MM_5x_Sixteen, "16"); m_apm_set_string(MM_5x_Twenty, "20"); m_apm_set_string(MM_LOG_2_BASE_E, MM_cnst_log_2); m_apm_set_string(MM_LOG_3_BASE_E, MM_cnst_log_3); m_apm_set_string(MM_LOG_10_BASE_E, MM_cnst_log_10); m_apm_set_string(MM_LOG_E_BASE_10, MM_cnst_1_log_10); m_apm_set_string(MM_lc_log2, MM_cnst_log_2); m_apm_set_string(MM_lc_log10, MM_cnst_log_10); m_apm_set_string(MM_lc_log10R, MM_cnst_1_log_10); m_apm_set_string(MM_E, MM_cnst_E); m_apm_set_string(MM_PI, MM_cnst_PI); m_apm_multiply(MM_HALF_PI, MM_PI, MM_0_5); m_apm_multiply(MM_2_PI, MM_PI, MM_Two); m_apm_copy(MM_lc_PI, MM_PI); m_apm_copy(MM_lc_HALF_PI, MM_HALF_PI); m_apm_copy(MM_lc_2_PI, MM_2_PI); } /****************************************************************************/ void m_apm_cpp_precision(int digits) { if (MM_lc_PI_digits == 0) { m_apm_free(m_apm_init()); } if (digits >= 2) MM_cpp_min_precision = digits; else MM_cpp_min_precision = 2; } /****************************************************************************/