115 lines
3.3 KiB
C++
115 lines
3.3 KiB
C++
/*
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* Copyright (C) 2005 Maarten Keijzer
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of version 2 of the GNU General Public License as
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* published by the Free Software Foundation.
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*
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* This program 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
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* GNU 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
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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*/
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#ifndef INTERVAL__H__
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#define INTERVAL__H__
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#include <boost/numeric/interval.hpp>
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#include <iostream>
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#include <limits>
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typedef boost::numeric::interval_lib::rounded_transc_exact<double> RoundingTransc;
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typedef boost::numeric::interval_lib::save_state<RoundingTransc> Rounding;
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typedef boost::numeric::interval_lib::checking_base<double> Checking;
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typedef boost::numeric::interval_lib::policies<Rounding,Checking> Policy;
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typedef boost::numeric::interval<double, Policy> Interval;
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struct interval_error{};
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inline bool valid(const Interval& val) {
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if (!finite(val.lower()) || !finite(val.upper())) return false;
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return val.lower() > -1e10 && val.upper() < 1e10;
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}
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inline Interval sqrt(const Interval& val) {
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if (val.lower() < 0.0) {
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return Interval::whole();
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}
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return boost::numeric::sqrt(val);
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}
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inline Interval sqr(const Interval& val) {
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return square(val);
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}
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inline Interval acos(const Interval& val) {
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if (val.lower() < 1.0 || val.upper() > 1.0) {
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return Interval::whole();
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}
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return boost::numeric::acos(val);
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}
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inline Interval asin(const Interval& val) {
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if (val.lower() < 1.0 || val.upper() > 1.0) {
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return Interval::whole();
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}
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return boost::numeric::asin(val);
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}
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inline Interval acosh(const Interval& val) {
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if (val.lower() < 1.0) return Interval::whole();
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return boost::numeric::acosh(val);
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}
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inline
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std::ostream& operator<<(std::ostream& os, const Interval& val) {
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os << '[' << val.lower() << ", " << val.upper() << ']';
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return os;
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}
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#ifdef TEST_INTERVAL
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using namespace std;
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using namespace boost::numeric;
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int main() {
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Interval a(0, 10);
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Interval b(-1.5, 2);
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cout << "a = " << a << endl;
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cout << "b = " << b << endl;
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cout << "a + b = " << a + b << endl;
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cout << "a - b = " << a - b << endl;
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cout << "b - a = " << b - a << endl;
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cout << "-a = " << -a << endl;
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cout << "a * b = " << a * b << endl;
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cout << "b/(a+1) = " << b / (a + 1.0) << endl;
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cout << "b * a = " << b * a << endl;
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cout << "b / a = " << b/a << endl;
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cout << "cos(a) = " << cos(a) << endl;
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cout << "cos(b) = " << cos(b) << endl;
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cout << "log(b) = " << log(b) << endl;
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cout << "sqrt(b) = " << sqrt(b) << endl;
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cout << "sqrt(a) = " << sqrt(a) << endl;
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cout << "sqr(b) = " << sqr(b) << endl;
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cout << "exp(b*a)= " << exp(b*a) << endl;
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cout << "atan(a) = " << atan(a) << endl;
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cout << "cosh(b) = " << cosh(b) << endl;
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}
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#endif
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#endif
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