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/* |
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* SLV: Ascend Numeric Solver |
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* by Karl Michael Westerberg |
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* Created: 2/6/90 |
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* Version: $Revision: 1.8 $ |
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* Version control file: $RCSfile: calc.h,v $ |
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* Date last modified: $Date: 1997/07/21 17:01:04 $ |
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* Last modified by: $Author: kt2g $ |
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* |
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* This file is part of the SLV solver. |
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* |
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* Copyright (C) 1990 Karl Michael Westerberg |
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* Copyright (C) 1993 Joseph Zaher |
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* Copyright (C) 1994 Joseph Zaher, Benjamin Andrew Allan |
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* |
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* The SLV solver is free software; you can redistribute |
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* it and/or modify it under the terms of the GNU General Public License as |
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* published by the Free Software Foundation; either version 2 of the |
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* License, or (at your option) any later version. |
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* |
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* The SLV solver is distributed in hope that it will be |
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* useful, but WITHOUT ANY WARRANTY; without even the implied warranty of |
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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* General Public License for more details. |
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* |
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* You should have received a copy of the GNU General Public License along with |
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* the program; if not, write to the Free Software Foundation, Inc., 675 |
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* Mass Ave, Cambridge, MA 02139 USA. Check the file named COPYING. |
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* COPYING is found in ../compiler. |
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*/ |
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|
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/*************************************************************************** |
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*** Contents: Calculation module |
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*** |
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*** Authors: Karl Westerberg |
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*** Joseph Zaher |
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*** |
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*** Dates: 06/90 - original version |
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*** 08/93 - removed calc_D0, calc_D1, calc_D2, calc_Dn |
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*** and added them as internal functions of the |
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*** exprman module. |
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*** 04/94 - enhanced error messaging |
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*** |
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*** Description: Operations are provided for computing unary and binary |
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*** functions. First, second, and nth derivatives may |
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*** also be computed for all of the functions featured. A |
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*** global boolean variable calc_ok, which is declared |
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*** external so that it may be monitored from other |
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*** modules, will be set to FALSE in the event of a |
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*** calculation error. Also, to suppress printing of error |
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*** messages in the event of an error, set the global |
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*** variable calc_print_errors to FALSE. |
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***************************************************************************/ |
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#ifndef calc__already_included |
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#define calc__already_included |
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|
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extern int32 calc_ok; |
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extern boolean calc_print_errors; |
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/** |
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*** The variable calc_ok will be set to FALSE whenever an undefined |
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*** numerical calculation is attempted. In this case, if the variable |
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*** calc_print_errors is set to TRUE, a description of the error will be |
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*** printed to stderr. In order to monitor errors effectively, it is |
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*** the responsibility of the user to set the calc_ok variable to TRUE |
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*** before calling any of the functions below. |
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**/ |
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|
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#define calc_ERF_COEF 1.1283791670955130 /* = 2 / sqrt(PI) */ |
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#define calc_LOG10_COEF 0.4342944819032518 /* = log10(e) = 1/ln(10) */ |
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#define calc_PI 3.1415926535897930 |
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|
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extern real64 calc_upower(real64, unsigned); |
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extern real64 calc_factorial(unsigned); |
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extern real64 calc_rec(); |
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extern real64 calc_cube(); |
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extern real64 calc_Dn_rec(); |
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#ifdef HAVE_ERF |
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extern real64 calc_erf_inv(); |
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#endif /* HAVE_ERF */ |
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extern real64 calc_lnm_inv(); |
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extern int calc_is_int(); |
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/** |
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*** value = calc_upower(x,n) Compute x^n. |
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*** value = calc_factorial(n) Compute n!. |
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*** value = calc_rec(x) Compute 1/x. |
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*** value = calc_cube(x) Compute x^3 with range check |
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*** value = calc_Dn_rec(x,n) Compute n-th derivative of 1/x. |
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*** value = calc_erf_inv(x) Compute inverse of erf. |
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*** isint = calc_is_int(x) 0,1 ==> even/odd int, else ==> not an int. |
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*** real64 value,x; |
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*** unsigned n; |
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*** int isint; |
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**/ |
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|
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/** All of the following calc_XXXX_Di must resolve to C functions |
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*** rather than macros because calc_func_Di takes the address of them. |
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**/ |
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|
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#define calc_sin_D0 sin |
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#define calc_sinh_D0 sinh |
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#define calc_cos_D0 cos |
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#define calc_cosh_D0 cosh |
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extern real64 calc_tan_D0(); |
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#define calc_tanh_D0 tanh |
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extern real64 calc_arcsin_D0(); |
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#define calc_arcsinh_D0 arcsinh |
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extern real64 calc_arccos_D0(); |
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extern real64 calc_arccosh_D0(); |
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#define calc_arctan_D0 atan |
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extern real64 calc_arctanh_D0(); |
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#ifdef HAVE_ERF |
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#define calc_erf_D0 erf |
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#endif /* HAVE_ERF */ |
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extern real64 calc_exp_D0(); |
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extern real64 calc_ln_D0(); |
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#define calc_lnm_D0 lnm |
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extern real64 calc_log_D0(); |
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#define calc_sqr_D0 sqr |
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extern real64 calc_sqrt_D0(); |
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#define calc_cbrt_D0 cbrt |
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#define calc_fabs_D0 fabs |
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/** |
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*** value = calc_<uop>_D0(x) |
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*** real64 value,x; |
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*** |
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*** Computes value of unary operator. |
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**/ |
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|
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#define calc_sin_D1 cos |
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#define calc_sinh_D1 cosh |
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#define calc_cos_D1 dcos |
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#define calc_cosh_D1 sinh |
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extern real64 calc_tan_D1(double); |
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#define calc_tanh_D1 dtanh |
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extern real64 calc_arcsin_D1(double); |
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#define calc_arcsinh_D1 darcsinh |
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extern real64 calc_arccos_D1(double); |
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extern real64 calc_arccosh_D1(double); |
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#define calc_arctan_D1 datan |
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extern real64 calc_arctanh_D1(double); |
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#ifdef HAVE_ERF |
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extern real64 calc_erf_D1(double); |
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#endif /* HAVE_ERF */ |
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#define calc_exp_D1 calc_exp_D0 |
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#define calc_ln_D1 calc_rec |
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#define calc_lnm_D1 dlnm |
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extern real64 calc_log_D1(double); |
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#define calc_sqr_D1 dsqr |
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extern real64 calc_sqrt_D1(double); |
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extern real64 calc_cbrt_D1(double); |
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extern real64 calc_fabs_D1(double); |
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/** |
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*** value = calc_<uop>_D1(x) |
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*** real64 value,x; |
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*** |
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*** Computes first derivative of unary operator. |
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**/ |
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|
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|
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#define calc_sin_D2 dcos |
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#define calc_sinh_D2 sinh |
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#define calc_cos_D2 dcos2 |
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#define calc_cosh_D2 cosh |
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extern real64 calc_tan_D2(); |
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#define calc_tanh_D2 dtanh2 |
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extern real64 calc_arcsin_D2(); |
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#define calc_arcsinh_D2 darcsinh2 |
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extern real64 calc_arccos_D2(); |
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extern real64 calc_arccosh_D2(); |
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#define calc_arctan_D2 datan2 |
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extern real64 calc_arctanh_D2(); |
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#ifdef HAVE_ERF |
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extern real64 calc_erf_D2(); |
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#endif /* HAVE_ERF */ |
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#define calc_exp_D2 calc_exp_D0 |
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extern real64 calc_ln_D2(); |
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#define calc_lnm_D2 dlnm2 |
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extern real64 calc_log_D2(); |
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#define calc_sqr_D2 dsqr2 |
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extern real64 calc_sqrt_D2(); |
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extern real64 calc_cbrt_D2(); |
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extern real64 calc_fabs_D2(); |
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/** |
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*** value = calc_<uop>_D2(x) |
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*** real64 value,x; |
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*** |
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*** Computes second derivative of unary operator. |
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**/ |
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|
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extern real64 calc_arcsin_Dn(); |
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extern real64 calc_arccos_Dn(); |
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extern real64 calc_arctan_Dn(); |
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extern real64 calc_cos_Dn(); |
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extern real64 calc_sin_Dn(); |
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#ifdef HAVE_ERF |
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extern real64 calc_erf_Dn(); |
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#endif /* HAVE_ERF */ |
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extern real64 calc_exp_Dn(); |
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extern real64 calc_ln_Dn(); |
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extern real64 calc_log_Dn(); |
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extern real64 calc_sqr_Dn(); |
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extern real64 calc_sqrt_Dn(); |
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extern real64 calc_tan_Dn(); |
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extern real64 calc_fabs_Dn(); |
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/** |
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*** value = calc_<uop>_Dn(x,n) |
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*** real64 value,x; |
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*** int n; n >= 0 |
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*** |
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*** Computes n-th derivative of unary operator. |
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**/ |
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|
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#define calc_add_D0(x,y) ((x)+(y)) |
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#define calc_sub_D0(x,y) ((x)-(y)) |
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#define calc_mul_D0(x,y) ((x)*(y)) |
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#define calc_div_D0(x,y) calc_mul_D0(x,calc_rec(y)) |
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#define calc_ipow_D0(x,y) asc_ipow(x,(int)y) |
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extern real64 calc_pow_D0(); |
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/** |
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*** value = calc_<binop>_D0(x,y) |
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*** real64 value,x,y; |
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*** |
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*** Computes x <binop> y and returns the value. |
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**/ |
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|
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#define calc_add_D1(x,y,wrt) (1.0) |
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#define calc_sub_D1(x,y,wrt) (1.0 - 2.0*(wrt)) |
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#define calc_mul_D1(x,y,wrt) ((wrt)==0 ? ((x),(y)) : ((y),(x))) |
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extern real64 calc_div_D1(); |
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#define calc_ipow_D1(x,y) asc_d1ipow(x,(int)y) |
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extern real64 calc_pow_D1(); |
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/** |
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*** diff = calc_<binop>_D1(x,y,wrt) |
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*** real64 diff,x,y; |
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*** int wrt; 0 ==> w.r.t 1st arg, 1 ==> w.r.t. 2nd arg |
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*** |
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*** Computes derivative of x <binop> y w.r.t. x or y depending on wrt. |
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**/ |
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|
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#define calc_add_D2(x,y,wrt1,wrt2) (0.0) |
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#define calc_sub_D2(x,y,wrt1,wrt2) (0.0) |
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#define calc_mul_D2(x,y,wrt1,wrt2) ((wrt1)!=(wrt2)?1.0:0.0) |
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extern real64 calc_div_D2(); |
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#define calc_ipow_D2(x,y) asc_d2ipow(x,(int)y) |
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extern real64 calc_pow_D2(); |
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/** |
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*** diff2 = calc_<binop>_D2(x,y,wrt1,wrt2) |
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*** real64 diff2,x,y; |
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*** int wrt1,wrt2; 0 ==> w.r.t 1st arg, 1 ==> w.r.t. 2nd arg |
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*** |
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*** Computes 2nd derivative of x <binop> y w.r.t. x or y depending on |
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*** wrt1 and wrt2. |
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**/ |
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|
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extern real64 calc_add_Dn(); |
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extern real64 calc_sub_Dn(); |
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extern real64 calc_mul_Dn(); |
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extern real64 calc_div_Dn(); |
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extern real64 calc_pow_Dn(); |
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/** |
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*** diffn = calc_<binop>_Dn(x,y,nwrt0,nwrt1) |
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*** real64 diffn,x,y; |
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*** int nwrt0,nwrt1; |
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*** |
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*** Computes nwrt0'th derivative wrt x of the nwrt1'th derivative wrt y |
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*** of x <binop> y. |
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**/ |
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|
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#endif |
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