EQ2EMu/EQ2/source/depends/boost_1_72_0/libs/multiprecision/test/test_mpfr_mpc_precisions.cpp

///////////////////////////////////////////////////////////////
//  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();
}