multiprecision/test/test_mpfr_mpc_precisions.cpp

304 lines
9.6 KiB
C++

///////////////////////////////////////////////////////////////
// Copyright Christopher Kormanyos 2002 - 2011.
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
//
// This work is based on an earlier work:
// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
#ifdef _MSC_VER
#define _SCL_SECURE_NO_WARNINGS
#endif
#include <boost/detail/lightweight_test.hpp>
#include "test.hpp"
#include <boost/multiprecision/mpfr.hpp>
#include <boost/multiprecision/mpc.hpp>
template <class T>
T make_rvalue_copy(const T a)
{
return a;
}
int main()
{
using namespace boost::multiprecision;
//
// Test change of default precision:
//
mpfr_float::default_precision(100);
mpfr_float a("0.1");
BOOST_CHECK_EQUAL(a.precision(), 100);
mpfr_float::default_precision(20);
{
// test assignment from lvalue:
mpfr_float b(2);
BOOST_CHECK_EQUAL(b.precision(), 20);
b = a;
BOOST_CHECK_EQUAL(b.precision(), a.precision());
}
#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
{
// test assignment from rvalue:
mpfr_float b(2);
BOOST_CHECK_EQUAL(b.precision(), 20);
b = make_rvalue_copy(a);
BOOST_CHECK_EQUAL(b.precision(), a.precision());
}
#endif
mpfr_float::default_precision(20);
{
// test construct from lvalue:
mpfr_float b(a);
BOOST_CHECK_EQUAL(b.precision(), 100);
}
#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
{
// test construct from rvalue:
mpfr_float b(make_rvalue_copy(a));
BOOST_CHECK_EQUAL(b.precision(), 100);
}
#endif
mpc_complex::default_precision(100);
mpc_complex ca("0.1");
BOOST_CHECK_EQUAL(ca.precision(), 100);
mpc_complex::default_precision(20);
{
// test assignment from lvalue:
mpc_complex b(2);
BOOST_CHECK_EQUAL(b.precision(), 20);
b = ca;
BOOST_CHECK_EQUAL(b.precision(), ca.precision());
}
#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
{
// test assignment from rvalue:
mpc_complex b(2);
BOOST_CHECK_EQUAL(b.precision(), 20);
b = make_rvalue_copy(ca);
BOOST_CHECK_EQUAL(b.precision(), ca.precision());
}
#endif
{
// test construct from lvalue:
mpc_complex b(ca);
BOOST_CHECK_EQUAL(b.precision(), ca.precision());
}
#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
{
// test construct from rvalue:
mpc_complex b(make_rvalue_copy(ca));
BOOST_CHECK_EQUAL(b.precision(), ca.precision());
}
#endif
// real and imaginary:
BOOST_CHECK_EQUAL(ca.real().precision(), 100);
BOOST_CHECK_EQUAL(ca.imag().precision(), 100);
BOOST_CHECK_EQUAL(real(ca).precision(), 100);
BOOST_CHECK_EQUAL(imag(ca).precision(), 100);
//
// Construction at specific precision:
//
{
mpfr_float f150(mpfr_float(), 150u);
BOOST_CHECK_EQUAL(f150.precision(), 150);
mpc_complex f150c(mpc_complex(), 150u);
BOOST_CHECK_EQUAL(f150c.precision(), 150);
mpc_complex f150cc(mpfr_float(), mpfr_float(), 150u);
BOOST_CHECK_EQUAL(f150cc.precision(), 150);
}
{
mpfr_float f150(2, 150);
BOOST_CHECK_EQUAL(f150.precision(), 150);
}
{
mpfr_float f150("1.2", 150);
BOOST_CHECK_EQUAL(f150.precision(), 150);
}
//
// Copying precision:
//
{
mpc_complex c(ca.backend().data());
BOOST_CHECK_EQUAL(c.precision(), 100);
mpc_complex_100 c100(2);
mpc_complex d(c100);
BOOST_CHECK_EQUAL(d.precision(), 100);
mpfr_float_100 f100(2);
mpc_complex e(f100);
BOOST_CHECK_EQUAL(d.precision(), 100);
}
//
// Check that the overloads for precision don't mess up 2-arg
// construction:
//
{
mpc_complex c(2, 3u);
BOOST_CHECK_EQUAL(c.real(), 2);
BOOST_CHECK_EQUAL(c.imag(), 3);
}
//
// 3-arg complex number construction with 3rd arg a precision:
//
{
mpc_complex c(2, 3, 100);
BOOST_CHECK_EQUAL(c.precision(), 100);
mpfr_float_50 x(2), y(3);
mpc_complex z(x, y, 100);
BOOST_CHECK_EQUAL(c.precision(), 100);
}
//
// From https://github.com/boostorg/multiprecision/issues/65
//
{
mpfr_float a(2);
a.precision(100);
BOOST_CHECK_EQUAL(a, 2);
BOOST_CHECK_EQUAL(a.precision(), 100);
}
{
mpc_complex a(2, 3);
a.precision(100);
BOOST_CHECK_EQUAL(a.real(), 2);
BOOST_CHECK_EQUAL(a.imag(), 3);
BOOST_CHECK_EQUAL(a.precision(), 100);
}
{
mpc_complex::default_precision(1000);
mpfr_float::default_precision(1000);
mpc_complex a("1.324719827394086120398419082734980126734089612309871092830981236748901273498071240986123094861246981263481263489016238947147129807419028748901273409127349087124612576129076541203975704195690418570914657910465091256016501650916509165097164509164509761409561097561097650791650971465097165097162059761209561029756019265019726509126509172650971625097162450971309756104975610274650917825018740981274098127409182375701465172340923847120836540491320467127043127893281461230951097260126309812374091265091824981231236409851274",
"-0.80743891267394610982659071452346156102764312401571972642394120395608291471029347812645125986123123904123471209381289471230512983491286102875870192091283712396550981723409812740981263471230498715096104897123094710923879065981740928740981271801391209238470129560941870129387409812883437894183883841283700483832883218128438938184289148239164079329657861209381892037483468937489237419236509823723705612893489712412306531274812364980127304981648712483248732");
mpc_complex::default_precision(40);
mpfr_float::default_precision(40);
BOOST_CHECK_EQUAL(a, a);
}
//
// string_view with explicit precision:
//
#ifndef BOOST_NO_CXX17_HDR_STRING_VIEW
{
std::string s("222");
std::string_view v(s.c_str(), 1);
mpfr_float f(v, 100);
BOOST_CHECK_EQUAL(f, 2);
BOOST_CHECK_EQUAL(f.precision(), 100);
}
{
std::string x("222"), y("333");
std::string_view vx(x.c_str(), 1), vy(y.c_str(), 1);
mpc_complex c(vx, vy, 100);
BOOST_CHECK_EQUAL(c.real(), 2);
BOOST_CHECK_EQUAL(c.imag(), 3);
BOOST_CHECK_EQUAL(c.precision(), 100);
}
#endif
{
mpc_complex::default_precision(100);
mpfr_float::default_precision(100);
mpfr_float a(1);
mpfr_float b(2);
mpc_complex::default_precision(50);
mpfr_float::default_precision(50);
mpc_complex z(a, b);
BOOST_CHECK_EQUAL(z.precision(), 100);
}
// Swap:
{
mpfr_float x(2, 100); // 100 digits precision.
mpfr_float y(3, 50); // 50 digits precision.
swap(x, y);
BOOST_CHECK_EQUAL(x, 3);
BOOST_CHECK_EQUAL(y, 2);
BOOST_CHECK_EQUAL(x.precision(), 50);
BOOST_CHECK_EQUAL(y.precision(), 100);
x.swap(y);
BOOST_CHECK_EQUAL(x, 2);
BOOST_CHECK_EQUAL(y, 3);
BOOST_CHECK_EQUAL(x.precision(), 100);
BOOST_CHECK_EQUAL(y.precision(), 50);
#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
x = std::move(mpfr_float(y));
BOOST_CHECK_EQUAL(x, y);
BOOST_CHECK_EQUAL(x.precision(), y.precision());
#endif
}
{
mpc_complex x(2, 3, 100); // 100 digits precision.
mpc_complex y(3, 4, 50); // 50 digits precision.
swap(x, y);
BOOST_CHECK_EQUAL(x.real(), 3);
BOOST_CHECK_EQUAL(x.imag(), 4);
BOOST_CHECK_EQUAL(y.real(), 2);
BOOST_CHECK_EQUAL(y.imag(), 3);
BOOST_CHECK_EQUAL(x.precision(), 50);
BOOST_CHECK_EQUAL(y.precision(), 100);
x.swap(y);
BOOST_CHECK_EQUAL(x.real(), 2);
BOOST_CHECK_EQUAL(x.imag(), 3);
BOOST_CHECK_EQUAL(y.real(), 3);
BOOST_CHECK_EQUAL(y.imag(), 4);
BOOST_CHECK_EQUAL(x.precision(), 100);
BOOST_CHECK_EQUAL(y.precision(), 50);
#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
x = std::move(mpc_complex(y));
BOOST_CHECK_EQUAL(x, y);
BOOST_CHECK_EQUAL(x.precision(), y.precision());
#endif
}
{
mpfr_float c(4), d(8), e(9), f;
f = (c + d) * d / e;
mpfr_float g((c + d) * d / e);
}
{
mpfr_float::default_precision(100);
mpfr_float f1;
f1 = 3;
BOOST_CHECK_EQUAL(f1.precision(), 100);
f1 = 3.5;
BOOST_CHECK_EQUAL(f1.precision(), 100);
mpfr_float f2(3.5);
BOOST_CHECK_EQUAL(f2.precision(), 100);
mpfr_float f3("5.1");
BOOST_CHECK_EQUAL(f3.precision(), 100);
mpfr_float::default_precision(50);
mpfr_float f4(f3, 50);
BOOST_CHECK_EQUAL(f4.precision(), 50);
f4.assign(f1, f4.precision());
BOOST_CHECK_EQUAL(f4.precision(), 50);
}
{
//
// Overloads of Math lib functions, discovered while fixing
// https://github.com/boostorg/multiprecision/issues/91
//
mpfr_float::default_precision(100);
mpfr_float f1;
f1 = 3;
BOOST_CHECK_EQUAL(f1.precision(), 100);
mpfr_float::default_precision(20);
BOOST_CHECK_EQUAL(asinh(f1).precision(), 100);
BOOST_CHECK_EQUAL(acosh(f1).precision(), 100);
BOOST_CHECK_EQUAL(atanh(f1).precision(), 100);
BOOST_CHECK_EQUAL(cbrt(f1).precision(), 100);
BOOST_CHECK_EQUAL(erf(f1).precision(), 100);
BOOST_CHECK_EQUAL(erfc(f1).precision(), 100);
BOOST_CHECK_EQUAL(expm1(f1).precision(), 100);
BOOST_CHECK_EQUAL(lgamma(f1).precision(), 100);
BOOST_CHECK_EQUAL(tgamma(f1).precision(), 100);
BOOST_CHECK_EQUAL(log1p(f1).precision(), 100);
}
return boost::report_errors();
}