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607 lines
11 KiB
C
607 lines
11 KiB
C
/*
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* ReactOS Calc (Math functions, IEEE-754 engine)
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*
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* Copyright 2007-2017, Carlo Bramini
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*
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* This program is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation; either
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* version 2 of the License, or (at your option) any later version.
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*
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* This library is distributed in the hope that it will be useful,
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* 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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* Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public
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* License along with this library; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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*/
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#include "calc.h"
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static double validate_rad2angle(double a);
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static double validate_angle2rad(calc_number_t *c);
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void apply_int_mask(calc_number_t *r)
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{
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unsigned __int64 mask;
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switch (calc.size) {
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case IDC_RADIO_QWORD:
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mask = _UI64_MAX;
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break;
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case IDC_RADIO_DWORD:
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mask = ULONG_MAX;
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break;
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case IDC_RADIO_WORD:
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mask = USHRT_MAX;
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break;
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case IDC_RADIO_BYTE:
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mask = UCHAR_MAX;
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break;
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default:
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mask = (unsigned __int64)-1;
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}
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r->i &= mask;
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}
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double asinh(double x)
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{
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return log(x+sqrt(x*x+1));
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}
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double acosh(double x)
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{
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// must be x>=1, if not return Nan (Not a Number)
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if(!(x>=1.0)) return sqrt(-1.0);
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// return only the positive result (as sqrt does).
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return log(x+sqrt(x*x-1.0));
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}
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double atanh(double x)
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{
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// must be x>-1, x<1, if not return Nan (Not a Number)
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if(!(x>-1.0 && x<1.0)) return sqrt(-1.0);
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return log((1.0+x)/(1.0-x))/2.0;
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}
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static double validate_rad2angle(double a)
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{
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switch (calc.degr) {
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case IDC_RADIO_DEG:
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a = a * (180.0/CALC_PI);
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break;
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case IDC_RADIO_RAD:
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break;
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case IDC_RADIO_GRAD:
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a = a * (200.0/CALC_PI);
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break;
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}
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return a;
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}
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static double validate_angle2rad(calc_number_t *c)
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{
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switch (calc.degr) {
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case IDC_RADIO_DEG:
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c->f = c->f * (CALC_PI/180.0);
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break;
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case IDC_RADIO_RAD:
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break;
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case IDC_RADIO_GRAD:
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c->f = c->f * (CALC_PI/200.0);
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break;
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}
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return c->f;
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}
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void rpn_sin(calc_number_t *c)
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{
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double angle = validate_angle2rad(c);
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if (angle == 0 || angle == CALC_PI)
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c->f = 0;
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else
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if (angle == CALC_3_PI_2)
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c->f = -1;
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else
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if (angle == CALC_2_PI)
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c->f = 1;
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else
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c->f = sin(angle);
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}
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void rpn_cos(calc_number_t *c)
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{
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double angle = validate_angle2rad(c);
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if (angle == CALC_PI_2 || angle == CALC_3_PI_2)
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c->f = 0;
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else
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if (angle == CALC_PI)
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c->f = -1;
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else
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if (angle == CALC_2_PI)
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c->f = 1;
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else
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c->f = cos(angle);
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}
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void rpn_tan(calc_number_t *c)
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{
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double angle = validate_angle2rad(c);
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if (angle == CALC_PI_2 || angle == CALC_3_PI_2)
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calc.is_nan = TRUE;
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else
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if (angle == CALC_PI || angle == CALC_2_PI)
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c->f = 0;
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else
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c->f = tan(angle);
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}
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void rpn_asin(calc_number_t *c)
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{
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c->f = validate_rad2angle(asin(c->f));
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if (_isnan(c->f))
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calc.is_nan = TRUE;
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}
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void rpn_acos(calc_number_t *c)
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{
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c->f = validate_rad2angle(acos(c->f));
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if (_isnan(c->f))
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calc.is_nan = TRUE;
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}
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void rpn_atan(calc_number_t *c)
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{
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c->f = validate_rad2angle(atan(c->f));
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if (_isnan(c->f))
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calc.is_nan = TRUE;
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}
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void rpn_sinh(calc_number_t *c)
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{
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c->f = sinh(c->f);
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if (_isnan(c->f))
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calc.is_nan = TRUE;
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}
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void rpn_cosh(calc_number_t *c)
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{
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c->f = cosh(c->f);
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if (_isnan(c->f))
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calc.is_nan = TRUE;
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}
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void rpn_tanh(calc_number_t *c)
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{
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c->f = tanh(c->f);
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if (_isnan(c->f))
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calc.is_nan = TRUE;
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}
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void rpn_asinh(calc_number_t *c)
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{
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c->f = asinh(c->f);
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if (_isnan(c->f))
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calc.is_nan = TRUE;
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}
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void rpn_acosh(calc_number_t *c)
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{
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c->f = acosh(c->f);
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if (_isnan(c->f))
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calc.is_nan = TRUE;
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}
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void rpn_atanh(calc_number_t *c)
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{
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c->f = atanh(c->f);
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if (_isnan(c->f))
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calc.is_nan = TRUE;
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}
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void rpn_int(calc_number_t *c)
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{
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double int_part;
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modf(calc.code.f, &int_part);
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c->f = int_part;
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}
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void rpn_frac(calc_number_t *c)
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{
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double int_part;
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c->f = modf(calc.code.f, &int_part);
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}
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void rpn_reci(calc_number_t *c)
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{
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if (c->f == 0)
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calc.is_nan = TRUE;
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else
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c->f = 1./c->f;
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}
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void rpn_fact(calc_number_t *c)
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{
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double fact, mult, num;
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if (calc.base == IDC_RADIO_DEC)
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num = c->f;
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else
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num = (double)c->i;
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if (num > 1000) {
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calc.is_nan = TRUE;
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return;
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}
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if (num < 0) {
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calc.is_nan = TRUE;
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return;
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} else
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if (num == 0)
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fact = 1;
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else {
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rpn_int(c);
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fact = 1;
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mult = 2;
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while (mult <= num) {
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fact *= mult;
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mult++;
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}
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c->f = fact;
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}
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if (_finite(fact) == 0)
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calc.is_nan = TRUE;
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else
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if (calc.base == IDC_RADIO_DEC)
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c->f = fact;
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else
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c->i = (__int64)fact;
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}
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__int64 logic_dbl2int(calc_number_t *a)
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{
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double int_part;
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int width;
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modf(a->f, &int_part);
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width = (int_part==0) ? 1 : (int)log10(fabs(int_part))+1;
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if (width > 63) {
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calc.is_nan = TRUE;
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return 0;
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}
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return (__int64)int_part;
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}
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double logic_int2dbl(calc_number_t *a)
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{
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return (double)a->i;
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}
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void rpn_not(calc_number_t *c)
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{
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if (calc.base == IDC_RADIO_DEC) {
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calc_number_t n;
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n.i = logic_dbl2int(c);
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c->f = (long double)(~n.i);
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} else
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c->i = ~c->i;
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}
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void rpn_pi(calc_number_t *c)
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{
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c->f = CALC_PI;
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}
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void rpn_2pi(calc_number_t *c)
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{
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c->f = CALC_PI*2;
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}
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void rpn_sign(calc_number_t *c)
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{
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if (calc.base == IDC_RADIO_DEC)
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c->f = 0-c->f;
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else
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c->i = 0-c->i;
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}
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void rpn_exp2(calc_number_t *c)
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{
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if (calc.base == IDC_RADIO_DEC) {
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c->f *= c->f;
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if (_finite(c->f) == 0)
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calc.is_nan = TRUE;
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} else
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c->i *= c->i;
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}
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void rpn_exp3(calc_number_t *c)
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{
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if (calc.base == IDC_RADIO_DEC) {
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c->f = pow(c->f, 3.);
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if (_finite(c->f) == 0)
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calc.is_nan = TRUE;
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} else
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c->i *= (c->i*c->i);
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}
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static __int64 myabs64(__int64 number)
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{
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return (number < 0) ? 0-number : number;
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}
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static unsigned __int64 sqrti(unsigned __int64 number)
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{
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/* modified form of Newton's method for approximating roots */
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#define NEXT(n, i) (((n) + (i)/(n)) >> 1)
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unsigned __int64 n, n1;
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#ifdef __GNUC__
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if (number == 0xffffffffffffffffULL)
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#else
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if (number == 0xffffffffffffffffUI64)
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#endif
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return 0xffffffff;
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n = 1;
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n1 = NEXT(n, number);
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while (myabs64(n1 - n) > 1) {
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n = n1;
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n1 = NEXT(n, number);
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}
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while((n1*n1) > number)
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n1--;
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return n1;
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#undef NEXT
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}
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void rpn_sqrt(calc_number_t *c)
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{
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if (calc.base == IDC_RADIO_DEC) {
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if (c->f < 0)
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calc.is_nan = TRUE;
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else
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c->f = sqrt(c->f);
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} else {
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c->i = sqrti(c->i);
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}
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}
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static __int64 cbrti(__int64 x) {
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__int64 s, y, b;
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s = 60;
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y = 0;
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while(s >= 0) {
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y = 2*y;
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b = (3*y*(y + 1) + 1) << s;
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s = s - 3;
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if (x >= b) {
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x = x - b;
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y = y + 1;
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}
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}
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return y;
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}
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void rpn_cbrt(calc_number_t *c)
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{
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if (calc.base == IDC_RADIO_DEC)
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#if defined(__GNUC__) && !defined(__REACTOS__)
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c->f = cbrt(c->f);
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#else
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c->f = pow(c->f,1./3.);
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#endif
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else {
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c->i = cbrti(c->i);
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}
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}
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void rpn_exp(calc_number_t *c)
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{
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c->f = exp(c->f);
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if (_finite(c->f) == 0)
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calc.is_nan = TRUE;
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}
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void rpn_exp10(calc_number_t *c)
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{
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double int_part;
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modf(c->f, &int_part);
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if (fmod(int_part, 2.) == 0.)
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calc.is_nan = TRUE;
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else {
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c->f = pow(10., c->f);
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if (_finite(c->f) == 0)
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calc.is_nan = TRUE;
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}
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}
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void rpn_ln(calc_number_t *c)
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{
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if (c->f <= 0)
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calc.is_nan = TRUE;
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else
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c->f = log(c->f);
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}
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void rpn_log(calc_number_t *c)
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{
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if (c->f <= 0)
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calc.is_nan = TRUE;
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else
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c->f = log10(c->f);
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}
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static double stat_sum(void)
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{
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double sum = 0;
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statistic_t *p = calc.stat;
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while (p != NULL) {
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if (p->base == IDC_RADIO_DEC)
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sum += p->num.f;
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else
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sum += p->num.i;
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p = (statistic_t *)(p->next);
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}
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return sum;
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}
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static double stat_sum2(void)
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{
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double sum = 0;
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statistic_t *p = calc.stat;
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while (p != NULL) {
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if (p->base == IDC_RADIO_DEC)
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sum += p->num.f * p->num.f;
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else
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sum += (double)p->num.i * (double)p->num.i;
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p = (statistic_t *)(p->next);
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}
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return sum;
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}
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void rpn_ave(calc_number_t *c)
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{
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double ave = 0;
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int n;
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ave = stat_sum();
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n = SendDlgItemMessage(calc.hStatWnd, IDC_LIST_STAT, LB_GETCOUNT, 0, 0);
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if (n)
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ave = ave / (double)n;
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if (calc.base == IDC_RADIO_DEC)
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c->f = ave;
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else
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c->i = (__int64)ave;
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}
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void rpn_ave2(calc_number_t *c)
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{
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double ave = 0;
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int n;
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ave = stat_sum2();
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n = SendDlgItemMessage(calc.hStatWnd, IDC_LIST_STAT, LB_GETCOUNT, 0, 0);
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if (n)
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ave = ave / (double)n;
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if (calc.base == IDC_RADIO_DEC)
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c->f = ave;
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else
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c->i = (__int64)ave;
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}
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void rpn_sum(calc_number_t *c)
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{
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double sum = stat_sum();
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if (calc.base == IDC_RADIO_DEC)
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c->f = sum;
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else
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c->i = (__int64)sum;
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}
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void rpn_sum2(calc_number_t *c)
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{
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double sum = stat_sum2();
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if (calc.base == IDC_RADIO_DEC)
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c->f = sum;
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else
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c->i = (__int64)sum;
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}
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static void rpn_s_ex(calc_number_t *c, int pop_type)
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{
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double ave = 0;
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double n = 0;
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double dev = 0;
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double num = 0;
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statistic_t *p = calc.stat;
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ave = stat_sum();
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n = (double)SendDlgItemMessage(calc.hStatWnd, IDC_LIST_STAT, LB_GETCOUNT, 0, 0);
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if (n == 0) {
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c->f = 0;
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return;
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}
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ave = ave / n;
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dev = 0;
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p = calc.stat;
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while (p != NULL) {
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if (p->base == IDC_RADIO_DEC)
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num = p->num.f;
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else
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num = (double)p->num.i;
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dev += pow(num-ave, 2.);
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p = (statistic_t *)(p->next);
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}
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dev = sqrt(dev/(pop_type ? n-1 : n));
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if (calc.base == IDC_RADIO_DEC)
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c->f = dev;
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else
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c->i = (__int64)dev;
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}
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void rpn_s(calc_number_t *c)
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{
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rpn_s_ex(c, 0);
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}
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void rpn_s_m1(calc_number_t *c)
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{
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rpn_s_ex(c, 1);
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}
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void rpn_dms2dec(calc_number_t *c)
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{
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double d, m, s;
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m = modf(c->f, &d) * 100;
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s = (modf(m, &m) * 100)+.5;
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modf(s, &s);
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m = m/60;
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s = s/3600;
|
|
|
|
c->f = d + m + s;
|
|
}
|
|
|
|
void rpn_dec2dms(calc_number_t *c)
|
|
{
|
|
double d, m, s;
|
|
|
|
m = modf(c->f, &d) * 60;
|
|
s = ceil(modf(m, &m) * 60);
|
|
c->f = d + m/100. + s/10000.;
|
|
}
|
|
|
|
void rpn_zero(calc_number_t *c)
|
|
{
|
|
c->f = 0;
|
|
}
|
|
|
|
void rpn_copy(calc_number_t *dst, calc_number_t *src)
|
|
{
|
|
*dst = *src;
|
|
}
|
|
|
|
int rpn_is_zero(calc_number_t *c)
|
|
{
|
|
return (c->f == 0);
|
|
}
|
|
|
|
void rpn_alloc(calc_number_t *c)
|
|
{
|
|
}
|
|
|
|
void rpn_free(calc_number_t *c)
|
|
{
|
|
}
|