ceph/src/boost/libs/multiprecision/test/test_mpfr_mpc_precisions.cpp

   1 ///////////////////////////////////////////////////////////////
   2 //  Copyright Christopher Kormanyos 2002 - 2011.
   3 //  Copyright 2011 John Maddock. Distributed under the Boost
   4 //  Software License, Version 1.0. (See accompanying file
   5 //  LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
   6 //
   7 // This work is based on an earlier work:
   8 // "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
   9 // in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
  10
  11 #ifdef _MSC_VER
  12 #define _SCL_SECURE_NO_WARNINGS
  13 #endif
  14
  15 #include <boost/detail/lightweight_test.hpp>
  16 #include "test.hpp"
  17
  18 #include <boost/multiprecision/mpfr.hpp>
  19 #include <boost/multiprecision/mpc.hpp>
  20
  21 template <class T>
  22 T make_rvalue_copy(const T a)
  23 {
  24    return a;
  25 }
  26
  27 int main()
  28 {
  29    using namespace boost::multiprecision;
  30    //
  31    // Test change of default precision:
  32    //
  33    mpfr_float::default_precision(100);
  34    mpfr_float a("0.1");
  35    BOOST_CHECK_EQUAL(a.precision(), 100);
  36    mpfr_float::default_precision(20);
  37    {
  38       // test assignment from lvalue:
  39       mpfr_float b(2);
  40       BOOST_CHECK_EQUAL(b.precision(), 20);
  41       b = a;
  42       BOOST_CHECK_EQUAL(b.precision(), a.precision());
  43    }
  44    {
  45       // test assignment from rvalue:
  46       mpfr_float b(2);
  47       BOOST_CHECK_EQUAL(b.precision(), 20);
  48       b = make_rvalue_copy(a);
  49       BOOST_CHECK_EQUAL(b.precision(), a.precision());
  50    }
  51    mpfr_float::default_precision(20);
  52    {
  53       // test construct from lvalue:
  54       mpfr_float b(a);
  55       BOOST_CHECK_EQUAL(b.precision(), 100);
  56    }
  57    {
  58       // test construct from rvalue:
  59       mpfr_float b(make_rvalue_copy(a));
  60       BOOST_CHECK_EQUAL(b.precision(), 100);
  61    }
  62    mpc_complex::default_precision(100);
  63    mpc_complex ca("0.1");
  64    BOOST_CHECK_EQUAL(ca.precision(), 100);
  65    mpc_complex::default_precision(20);
  66    {
  67       // test assignment from lvalue:
  68       mpc_complex b(2);
  69       BOOST_CHECK_EQUAL(b.precision(), 20);
  70       b = ca;
  71       BOOST_CHECK_EQUAL(b.precision(), ca.precision());
  72    }
  73    {
  74       // test assignment from rvalue:
  75       mpc_complex b(2);
  76       BOOST_CHECK_EQUAL(b.precision(), 20);
  77       b = make_rvalue_copy(ca);
  78       BOOST_CHECK_EQUAL(b.precision(), ca.precision());
  79    }
  80    {
  81       // test construct from lvalue:
  82       mpc_complex b(ca);
  83       BOOST_CHECK_EQUAL(b.precision(), ca.precision());
  84    }
  85    {
  86       // test construct from rvalue:
  87       mpc_complex b(make_rvalue_copy(ca));
  88       BOOST_CHECK_EQUAL(b.precision(), ca.precision());
  89    }
  90    // real and imaginary:
  91    BOOST_CHECK_EQUAL(ca.real().precision(), 100);
  92    BOOST_CHECK_EQUAL(ca.imag().precision(), 100);
  93    BOOST_CHECK_EQUAL(real(ca).precision(), 100);
  94    BOOST_CHECK_EQUAL(imag(ca).precision(), 100);
  95
  96    //
  97    // Construction at specific precision:
  98    //
  99    {
 100       mpfr_float f150(mpfr_float(), 150u);
 101       BOOST_CHECK_EQUAL(f150.precision(), 150);
 102       mpc_complex f150c(mpc_complex(), 150u);
 103       BOOST_CHECK_EQUAL(f150c.precision(), 150);
 104       mpc_complex f150cc(mpfr_float(), mpfr_float(), 150u);
 105       BOOST_CHECK_EQUAL(f150cc.precision(), 150);
 106    }
 107    {
 108       mpfr_float f150(2, 150);
 109       BOOST_CHECK_EQUAL(f150.precision(), 150);
 110    }
 111    {
 112       mpfr_float f150("1.2", 150);
 113       BOOST_CHECK_EQUAL(f150.precision(), 150);
 114    }
 115    //
 116    // Copying precision:
 117    //
 118    {
 119       mpc_complex c(ca.backend().data());
 120       BOOST_CHECK_EQUAL(c.precision(), 100);
 121       mpc_complex_100 c100(2);
 122       mpc_complex     d(c100);
 123       BOOST_CHECK_EQUAL(d.precision(), 100);
 124       mpfr_float_100 f100(2);
 125       mpc_complex    e(f100);
 126       BOOST_CHECK_EQUAL(d.precision(), 100);
 127    }
 128    //
 129    // Check that the overloads for precision don't mess up 2-arg
 130    // construction:
 131    //
 132    {
 133       mpc_complex c(2, 3u);
 134       BOOST_CHECK_EQUAL(c.real(), 2);
 135       BOOST_CHECK_EQUAL(c.imag(), 3);
 136    }
 137    //
 138    // 3-arg complex number construction with 3rd arg a precision:
 139    //
 140    {
 141       mpc_complex c(2, 3, 100);
 142       BOOST_CHECK_EQUAL(c.precision(), 100);
 143       mpfr_float_50 x(2), y(3);
 144       mpc_complex   z(x, y, 100);
 145       BOOST_CHECK_EQUAL(c.precision(), 100);
 146    }
 147    //
 148    // From https://github.com/boostorg/multiprecision/issues/65
 149    //
 150    {
 151       mpfr_float a(2);
 152       a.precision(100);
 153       BOOST_CHECK_EQUAL(a, 2);
 154       BOOST_CHECK_EQUAL(a.precision(), 100);
 155    }
 156    {
 157       mpc_complex a(2, 3);
 158       a.precision(100);
 159       BOOST_CHECK_EQUAL(a.real(), 2);
 160       BOOST_CHECK_EQUAL(a.imag(), 3);
 161       BOOST_CHECK_EQUAL(a.precision(), 100);
 162    }
 163    {
 164       mpc_complex::default_precision(1000);
 165       mpfr_float::default_precision(1000);
 166       mpc_complex a("1.324719827394086120398419082734980126734089612309871092830981236748901273498071240986123094861246981263481263489016238947147129807419028748901273409127349087124612576129076541203975704195690418570914657910465091256016501650916509165097164509164509761409561097561097650791650971465097165097162059761209561029756019265019726509126509172650971625097162450971309756104975610274650917825018740981274098127409182375701465172340923847120836540491320467127043127893281461230951097260126309812374091265091824981231236409851274",
 167                     "-0.80743891267394610982659071452346156102764312401571972642394120395608291471029347812645125986123123904123471209381289471230512983491286102875870192091283712396550981723409812740981263471230498715096104897123094710923879065981740928740981271801391209238470129560941870129387409812883437894183883841283700483832883218128438938184289148239164079329657861209381892037483468937489237419236509823723705612893489712412306531274812364980127304981648712483248732");
 168       mpc_complex::default_precision(40);
 169       mpfr_float::default_precision(40);
 170       BOOST_CHECK_EQUAL(a, a);
 171    }
 172
 173    //
 174    // string_view with explicit precision:
 175    //
 176 #ifndef BOOST_NO_CXX17_HDR_STRING_VIEW
 177    {
 178       std::string      s("222");
 179       std::string_view v(s.c_str(), 1);
 180       mpfr_float       f(v, 100);
 181       BOOST_CHECK_EQUAL(f, 2);
 182       BOOST_CHECK_EQUAL(f.precision(), 100);
 183    }
 184    {
 185       std::string      x("222"), y("333");
 186       std::string_view vx(x.c_str(), 1), vy(y.c_str(), 1);
 187       mpc_complex      c(vx, vy, 100);
 188       BOOST_CHECK_EQUAL(c.real(), 2);
 189       BOOST_CHECK_EQUAL(c.imag(), 3);
 190       BOOST_CHECK_EQUAL(c.precision(), 100);
 191    }
 192 #endif
 193    {
 194       mpc_complex::default_precision(100);
 195       mpfr_float::default_precision(100);
 196       mpfr_float a(1);
 197       mpfr_float b(2);
 198
 199       mpc_complex::default_precision(50);
 200       mpfr_float::default_precision(50);
 201
 202       mpc_complex z(a, b);
 203
 204       BOOST_CHECK_EQUAL(z.precision(), 100);
 205    }
 206    // Swap:
 207    {
 208       mpfr_float x(2, 100); // 100 digits precision.
 209       mpfr_float y(3, 50);  // 50 digits precision.
 210       swap(x, y);
 211       BOOST_CHECK_EQUAL(x, 3);
 212       BOOST_CHECK_EQUAL(y, 2);
 213       BOOST_CHECK_EQUAL(x.precision(), 50);
 214       BOOST_CHECK_EQUAL(y.precision(), 100);
 215       x.swap(y);
 216       BOOST_CHECK_EQUAL(x, 2);
 217       BOOST_CHECK_EQUAL(y, 3);
 218       BOOST_CHECK_EQUAL(x.precision(), 100);
 219       BOOST_CHECK_EQUAL(y.precision(), 50);
 220       x = std::move(mpfr_float(y));
 221       BOOST_CHECK_EQUAL(x, y);
 222       BOOST_CHECK_EQUAL(x.precision(), y.precision());
 223    }
 224    {
 225       mpc_complex x(2, 3, 100); // 100 digits precision.
 226       mpc_complex y(3, 4, 50);  // 50 digits precision.
 227       swap(x, y);
 228       BOOST_CHECK_EQUAL(x.real(), 3);
 229       BOOST_CHECK_EQUAL(x.imag(), 4);
 230       BOOST_CHECK_EQUAL(y.real(), 2);
 231       BOOST_CHECK_EQUAL(y.imag(), 3);
 232       BOOST_CHECK_EQUAL(x.precision(), 50);
 233       BOOST_CHECK_EQUAL(y.precision(), 100);
 234       x.swap(y);
 235       BOOST_CHECK_EQUAL(x.real(), 2);
 236       BOOST_CHECK_EQUAL(x.imag(), 3);
 237       BOOST_CHECK_EQUAL(y.real(), 3);
 238       BOOST_CHECK_EQUAL(y.imag(), 4);
 239       BOOST_CHECK_EQUAL(x.precision(), 100);
 240       BOOST_CHECK_EQUAL(y.precision(), 50);
 241       x = std::move(mpc_complex(y));
 242       BOOST_CHECK_EQUAL(x, y);
 243       BOOST_CHECK_EQUAL(x.precision(), y.precision());
 244    }
 245    {
 246       mpfr_float c(4), d(8), e(9), f;
 247       f = (c + d) * d / e;
 248       mpfr_float g((c + d) * d / e);
 249    }
 250    {
 251       mpfr_float::default_precision(100);
 252       mpfr_float f1;
 253       f1 = 3;
 254       BOOST_CHECK_EQUAL(f1.precision(), 100);
 255       f1 = 3.5;
 256       BOOST_CHECK_EQUAL(f1.precision(), 100);
 257       mpfr_float f2(3.5);
 258       BOOST_CHECK_EQUAL(f2.precision(), 100);
 259       mpfr_float f3("5.1");
 260       BOOST_CHECK_EQUAL(f3.precision(), 100);
 261
 262       mpfr_float::default_precision(50);
 263       mpfr_float f4(f3, 50);
 264       BOOST_CHECK_EQUAL(f4.precision(), 50);
 265       f4.assign(f1, f4.precision());
 266       BOOST_CHECK_EQUAL(f4.precision(), 50);
 267    }
 268    {
 269       //
 270       // Overloads of Math lib functions, discovered while fixing
 271       // https://github.com/boostorg/multiprecision/issues/91
 272       //
 273       mpfr_float::default_precision(100);
 274       mpfr_float f1;
 275       f1 = 3;
 276       BOOST_CHECK_EQUAL(f1.precision(), 100);
 277       mpfr_float::default_precision(20);
 278       BOOST_CHECK_EQUAL(asinh(f1).precision(), 100);
 279       BOOST_CHECK_EQUAL(acosh(f1).precision(), 100);
 280       BOOST_CHECK_EQUAL(atanh(f1).precision(), 100);
 281       BOOST_CHECK_EQUAL(cbrt(f1).precision(), 100);
 282       BOOST_CHECK_EQUAL(erf(f1).precision(), 100);
 283       BOOST_CHECK_EQUAL(erfc(f1).precision(), 100);
 284       BOOST_CHECK_EQUAL(expm1(f1).precision(), 100);
 285       BOOST_CHECK_EQUAL(lgamma(f1).precision(), 100);
 286       BOOST_CHECK_EQUAL(tgamma(f1).precision(), 100);
 287       BOOST_CHECK_EQUAL(log1p(f1).precision(), 100);
 288    }
 289
 290    return boost::report_errors();
 291 }