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91 lines
2.1 KiB
C++
91 lines
2.1 KiB
C++
/* Boost example/transc.cpp
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* how to use an external library (GMP/MPFR in this case) in order to
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* get correct transcendental functions on intervals
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*
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* Copyright 2003 Guillaume Melquiond
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*
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* Distributed under the Boost Software License, Version 1.0.
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* (See accompanying file LICENSE_1_0.txt or
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* copy at http://www.boost.org/LICENSE_1_0.txt)
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*/
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#include <boost/numeric/interval.hpp>
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//extern "C" {
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#include <gmp.h>
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#include <mpfr.h>
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//}
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#include <iostream>
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struct full_rounding:
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boost::numeric::interval_lib::rounded_arith_opp<double>
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{
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private:
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typedef int mpfr_func(mpfr_t, const __mpfr_struct*, mp_rnd_t);
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double invoke_mpfr(double x, mpfr_func f, mp_rnd_t r) {
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mpfr_t xx;
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mpfr_init_set_d(xx, x, GMP_RNDN);
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f(xx, xx, r);
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double res = mpfr_get_d(xx, r);
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mpfr_clear(xx);
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return res;
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}
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public:
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# define GENR_FUNC(name) \
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double name##_down(double x) { return invoke_mpfr(x, mpfr_##name, GMP_RNDD); } \
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double name##_up (double x) { return invoke_mpfr(x, mpfr_##name, GMP_RNDU); }
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GENR_FUNC(exp)
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GENR_FUNC(log)
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GENR_FUNC(sin)
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GENR_FUNC(cos)
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GENR_FUNC(tan)
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GENR_FUNC(asin)
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GENR_FUNC(acos)
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GENR_FUNC(atan)
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GENR_FUNC(sinh)
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GENR_FUNC(cosh)
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GENR_FUNC(tanh)
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GENR_FUNC(asinh)
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GENR_FUNC(acosh)
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GENR_FUNC(atanh)
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};
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namespace dummy {
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using namespace boost;
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using namespace numeric;
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using namespace interval_lib;
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typedef save_state<full_rounding> R;
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typedef checking_strict<double> P;
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typedef interval<double, policies<R, P> > I;
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};
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typedef dummy::I I;
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template<class os_t>
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os_t& operator<<(os_t &os, const I &a) {
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os << '[' << a.lower() << ',' << a.upper() << ']';
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return os;
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}
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int main() {
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I x(0.5, 2.5);
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std::cout << "x = " << x << std::endl;
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std::cout.precision(16);
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# define GENR_TEST(name) \
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std::cout << #name "(x) = " << name(x) << std::endl
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GENR_TEST(exp);
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GENR_TEST(log);
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GENR_TEST(sin);
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GENR_TEST(cos);
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GENR_TEST(tan);
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GENR_TEST(asin);
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GENR_TEST(acos);
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GENR_TEST(atan);
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GENR_TEST(sinh);
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GENR_TEST(cosh);
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GENR_TEST(tanh);
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GENR_TEST(asinh);
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GENR_TEST(acosh);
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GENR_TEST(atanh);
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return 0;
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}
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