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

   1 // Copyright John Maddock 2013.
   2
   3 // Use, modification and distribution are subject to the
   4 // Boost Software License, Version 1.0.
   5 // (See accompanying file LICENSE_1_0.txt
   6 // or copy at http://www.boost.org/LICENSE_1_0.txt)
   7
   8 #ifdef _MSC_VER
   9 #  define _SCL_SECURE_NO_WARNINGS
  10 #endif
  11
  12 #include <boost/multiprecision/cpp_bin_float.hpp>
  13 #ifdef TEST_MPFR
  14 #include <boost/multiprecision/mpfr.hpp>
  15 #endif
  16 #include <boost/random/mersenne_twister.hpp>
  17 #include <boost/random/uniform_int.hpp>
  18 #include "libs/multiprecision/test/test.hpp"
  19 #include <iostream>
  20 #include <iomanip>
  21
  22 template <class T>
  23 T generate_random()
  24 {
  25    typedef int e_type;
  26    static boost::random::mt19937 gen;
  27    T val = gen();
  28    T prev_val = -1;
  29    while(val != prev_val)
  30    {
  31       val *= (gen.max)();
  32       prev_val = val;
  33       val += gen();
  34    }
  35    e_type e;
  36    val = frexp(val, &e);
  37
  38    static boost::random::uniform_int_distribution<e_type> ui(-20, 20);
  39    return ldexp(val, ui(gen));
  40 }
  41
  42
  43 using namespace boost::multiprecision;
  44 #ifdef TEST_MPFR
  45 typedef number<mpfr_float_backend<35> > good_type;
  46 #else
  47 typedef double good_type;
  48 #endif
  49 typedef number<cpp_bin_float<std::numeric_limits<good_type>::digits, digit_base_2>, et_off> test_type;
  50
  51 void test_special_cases()
  52 {
  53    test_type max_val = (std::numeric_limits<test_type>::max)();
  54    test_type min_val = (std::numeric_limits<test_type>::min)();
  55    test_type eps = std::numeric_limits<test_type>::epsilon();
  56    test_type inf_val = (std::numeric_limits<test_type>::infinity)();
  57    test_type nan_val = (std::numeric_limits<test_type>::quiet_NaN)();
  58    test_type half = 0.5;
  59    test_type one_point_5 = 1.5;
  60
  61    BOOST_CHECK((boost::math::isnormal)(max_val));
  62    BOOST_CHECK((boost::math::isnormal)(-max_val));
  63    BOOST_CHECK((boost::math::isnormal)(min_val));
  64    BOOST_CHECK((boost::math::isnormal)(-min_val));
  65    BOOST_CHECK((boost::math::isinf)(inf_val));
  66    BOOST_CHECK((boost::math::isinf)(-inf_val));
  67    BOOST_CHECK((boost::math::isnan)(nan_val));
  68    BOOST_CHECK((boost::math::isnan)(-nan_val));
  69
  70    if(std::numeric_limits<test_type>::has_denorm)
  71       min_val = std::numeric_limits<test_type>::denorm_min();
  72
  73    // Adding epsilon will increment 1.0:
  74    BOOST_CHECK(test_type(1) + eps != test_type(1));
  75    BOOST_CHECK(test_type(1) + eps / 2 == test_type(1));
  76    // But it's not the smallest value that will do that:
  77    test_type small = 1 + eps;
  78    small = ldexp(small, -std::numeric_limits<test_type>::digits);
  79    BOOST_CHECK(test_type(1) + small != test_type(1));
  80    // And if we increment 1.0 first, then an even smaller
  81    // addition will round up:
  82    test_type one_next = test_type(1) + eps;
  83    BOOST_CHECK(one_next + eps / 2 != one_next);
  84
  85    // Overflow:
  86    BOOST_CHECK_EQUAL(max_val + max_val * eps, inf_val);
  87    BOOST_CHECK_EQUAL(-max_val - max_val * eps, -inf_val);
  88    BOOST_CHECK_EQUAL(max_val * 2, inf_val);
  89    BOOST_CHECK_EQUAL(max_val * -2, -inf_val);
  90    BOOST_CHECK_EQUAL(max_val / half, inf_val);
  91    BOOST_CHECK_EQUAL(max_val / -half, -inf_val);
  92    BOOST_CHECK_EQUAL(max_val / min_val, inf_val);
  93    BOOST_CHECK_EQUAL(max_val / -min_val, -inf_val);
  94    // Underflow:
  95    BOOST_CHECK_EQUAL(min_val * 2 - one_point_5 * min_val, 0);
  96    BOOST_CHECK_EQUAL(-min_val * 2 + one_point_5 * min_val, 0);
  97    BOOST_CHECK_EQUAL(min_val / 2, 0);
  98    BOOST_CHECK_EQUAL(min_val / max_val, 0);
  99    BOOST_CHECK_EQUAL(min_val * half, 0);
 100    BOOST_CHECK_EQUAL(min_val - min_val, 0);
 101    BOOST_CHECK_EQUAL(max_val - max_val, 0);
 102    BOOST_CHECK_EQUAL(-min_val + min_val, 0);
 103    BOOST_CHECK_EQUAL(-max_val + max_val, 0);
 104    // Things which should not over/underflow:
 105    BOOST_CHECK_EQUAL((min_val * 2) / 2, min_val);
 106    BOOST_CHECK_EQUAL((max_val / 2) * 2, max_val);
 107    BOOST_CHECK_GE((min_val * 2.0000001) / 1.9999999999999999, min_val);
 108    BOOST_CHECK_LE((max_val / 2.0000001) * 1.9999999999999999, max_val);
 109    BOOST_CHECK_EQUAL(min_val * 2 - min_val, min_val);
 110    BOOST_CHECK_EQUAL(max_val / 2 + max_val / 2, max_val);
 111    // Things involving zero:
 112    BOOST_CHECK_EQUAL(max_val + 0, max_val);
 113    BOOST_CHECK_EQUAL(max_val - 0, max_val);
 114    BOOST_CHECK_EQUAL(0 + max_val, max_val);
 115    BOOST_CHECK_EQUAL(0 - max_val, -max_val);
 116    BOOST_CHECK_EQUAL(max_val * 0, 0);
 117    BOOST_CHECK_EQUAL(0 * max_val, 0);
 118    BOOST_CHECK_EQUAL(max_val / 0, inf_val);
 119    BOOST_CHECK_EQUAL(0 / max_val, 0);
 120    BOOST_CHECK_EQUAL(-max_val / 0, -inf_val);
 121    BOOST_CHECK_EQUAL(0 / -max_val, 0);
 122    // Things involving infinity:
 123    BOOST_CHECK_EQUAL(inf_val + 2, inf_val);
 124    BOOST_CHECK_EQUAL(inf_val - 2, inf_val);
 125    BOOST_CHECK_EQUAL(inf_val + -2, inf_val);
 126    BOOST_CHECK_EQUAL(inf_val - -2, inf_val);
 127    BOOST_CHECK_EQUAL(-inf_val + 2, -inf_val);
 128    BOOST_CHECK_EQUAL(-inf_val - 2, -inf_val);
 129    BOOST_CHECK_EQUAL(-inf_val + -2, -inf_val);
 130    BOOST_CHECK_EQUAL(-inf_val - -2, -inf_val);
 131
 132    BOOST_CHECK_EQUAL(2 + inf_val, inf_val);
 133    BOOST_CHECK_EQUAL(2 - inf_val, -inf_val);
 134    BOOST_CHECK_EQUAL(-2 + inf_val, inf_val);
 135    BOOST_CHECK_EQUAL(-2 - inf_val, -inf_val);
 136    BOOST_CHECK_EQUAL(2 + (-inf_val), -inf_val);
 137    BOOST_CHECK_EQUAL(2 - (-inf_val), inf_val);
 138    BOOST_CHECK_EQUAL(-2 + (-inf_val), -inf_val);
 139    BOOST_CHECK_EQUAL(-2 - (-inf_val), inf_val);
 140
 141    BOOST_CHECK_EQUAL(sqrt(inf_val), inf_val);
 142    BOOST_CHECK(boost::math::isnan(sqrt(-inf_val)));
 143
 144    BOOST_CHECK_EQUAL(inf_val + test_type(2), inf_val);
 145    BOOST_CHECK_EQUAL(inf_val - test_type(2), inf_val);
 146    BOOST_CHECK_EQUAL(inf_val + test_type(-2), inf_val);
 147    BOOST_CHECK_EQUAL(inf_val - test_type(-2), inf_val);
 148    BOOST_CHECK_EQUAL(-inf_val + test_type(2), -inf_val);
 149    BOOST_CHECK_EQUAL(-inf_val - test_type(2), -inf_val);
 150    BOOST_CHECK_EQUAL(-inf_val + test_type(-2), -inf_val);
 151    BOOST_CHECK_EQUAL(-inf_val - test_type(-2), -inf_val);
 152
 153    BOOST_CHECK_EQUAL(test_type(2) + inf_val, inf_val);
 154    BOOST_CHECK_EQUAL(test_type(2) - inf_val, -inf_val);
 155    BOOST_CHECK_EQUAL(test_type(-2) + inf_val, inf_val);
 156    BOOST_CHECK_EQUAL(test_type(-2) - inf_val, -inf_val);
 157    BOOST_CHECK_EQUAL(test_type(2) + (-inf_val), -inf_val);
 158    BOOST_CHECK_EQUAL(test_type(2) - (-inf_val), inf_val);
 159    BOOST_CHECK_EQUAL(test_type(-2) + (-inf_val), -inf_val);
 160    BOOST_CHECK_EQUAL(test_type(-2) - (-inf_val), inf_val);
 161
 162    BOOST_CHECK((boost::math::isnan)(inf_val - inf_val));
 163    BOOST_CHECK_EQUAL(inf_val * 2, inf_val);
 164    BOOST_CHECK_EQUAL(-inf_val * 2, -inf_val);
 165    BOOST_CHECK_EQUAL(inf_val * -2, -inf_val);
 166    BOOST_CHECK_EQUAL(-inf_val * -2, inf_val);
 167    BOOST_CHECK_EQUAL(inf_val * test_type(-2), -inf_val);
 168    BOOST_CHECK_EQUAL(-inf_val * test_type(-2), inf_val);
 169    BOOST_CHECK((boost::math::isnan)(inf_val * 0));
 170    BOOST_CHECK((boost::math::isnan)(-inf_val * 0));
 171    BOOST_CHECK_EQUAL(inf_val / 2, inf_val);
 172    BOOST_CHECK_EQUAL(-inf_val / 2, -inf_val);
 173    BOOST_CHECK_EQUAL(inf_val / -2, -inf_val);
 174    BOOST_CHECK_EQUAL(-inf_val / -2, inf_val);
 175    BOOST_CHECK_EQUAL(inf_val / test_type(-2), -inf_val);
 176    BOOST_CHECK_EQUAL(-inf_val / test_type(-2), inf_val);
 177    BOOST_CHECK_EQUAL(inf_val / 0, inf_val);
 178    BOOST_CHECK_EQUAL(-inf_val / 0, -inf_val);
 179    BOOST_CHECK((boost::math::isnan)(inf_val / inf_val));
 180    BOOST_CHECK((boost::math::isnan)(-inf_val / inf_val));
 181    // Things involving nan:
 182    BOOST_CHECK((boost::math::isnan)(nan_val + 2));
 183    BOOST_CHECK((boost::math::isnan)(nan_val - 2));
 184    BOOST_CHECK((boost::math::isnan)(nan_val + 0));
 185    BOOST_CHECK((boost::math::isnan)(nan_val - 0));
 186    BOOST_CHECK((boost::math::isnan)(nan_val + inf_val));
 187    BOOST_CHECK((boost::math::isnan)(nan_val - inf_val));
 188    BOOST_CHECK((boost::math::isnan)(nan_val + nan_val));
 189    BOOST_CHECK((boost::math::isnan)(nan_val - nan_val));
 190    BOOST_CHECK((boost::math::isnan)(2 + nan_val));
 191    BOOST_CHECK((boost::math::isnan)(2 - nan_val));
 192    BOOST_CHECK((boost::math::isnan)(0 - nan_val));
 193    BOOST_CHECK((boost::math::isnan)(0 - nan_val));
 194    BOOST_CHECK((boost::math::isnan)(inf_val + nan_val));
 195    BOOST_CHECK((boost::math::isnan)(inf_val - nan_val));
 196    BOOST_CHECK((boost::math::isnan)(nan_val * 2));
 197    BOOST_CHECK((boost::math::isnan)(nan_val / 2));
 198    BOOST_CHECK((boost::math::isnan)(nan_val * 0));
 199    BOOST_CHECK((boost::math::isnan)(nan_val / 0));
 200    BOOST_CHECK((boost::math::isnan)(nan_val * inf_val));
 201    BOOST_CHECK((boost::math::isnan)(nan_val / inf_val));
 202    BOOST_CHECK((boost::math::isnan)(nan_val * nan_val));
 203    BOOST_CHECK((boost::math::isnan)(nan_val / nan_val));
 204    BOOST_CHECK((boost::math::isnan)(2 * nan_val));
 205    BOOST_CHECK((boost::math::isnan)(2 / nan_val));
 206    BOOST_CHECK((boost::math::isnan)(0 / nan_val));
 207    BOOST_CHECK((boost::math::isnan)(0 / nan_val));
 208    BOOST_CHECK((boost::math::isnan)(inf_val * nan_val));
 209    BOOST_CHECK((boost::math::isnan)(inf_val / nan_val));
 210    // Corner cases:
 211    BOOST_CHECK_EQUAL((max_val * half) / half, max_val);
 212    BOOST_CHECK_EQUAL((max_val / 2) * 2, max_val);
 213    BOOST_CHECK_EQUAL((min_val / half) * half, min_val);
 214    BOOST_CHECK_EQUAL((min_val * 2) / 2, min_val);
 215    BOOST_CHECK_EQUAL(max_val + min_val, max_val);
 216    BOOST_CHECK_EQUAL(min_val + max_val, max_val);
 217    BOOST_CHECK_EQUAL(max_val - min_val, max_val);
 218    BOOST_CHECK_EQUAL(min_val - max_val, -max_val);
 219    // Signed zeros:
 220    BOOST_CHECK(boost::math::signbit(min_val * -min_val));
 221    BOOST_CHECK(boost::math::signbit(min_val * min_val) == 0);
 222    BOOST_CHECK(boost::math::signbit(-min_val * -min_val) == 0);
 223    BOOST_CHECK(boost::math::signbit(-min_val * min_val));
 224    BOOST_CHECK(boost::math::signbit(min_val / max_val) == 0);
 225    BOOST_CHECK(boost::math::signbit(min_val / -max_val));
 226    BOOST_CHECK(boost::math::signbit(-min_val / -max_val) == 0);
 227    BOOST_CHECK(boost::math::signbit(-min_val / max_val));
 228    BOOST_CHECK(boost::math::signbit(min_val / 2) == 0);
 229    BOOST_CHECK(boost::math::signbit(min_val / -2));
 230    BOOST_CHECK(boost::math::signbit(-min_val / -2) == 0);
 231    BOOST_CHECK(boost::math::signbit(-min_val / 2));
 232    test_type neg_zero = min_val * -min_val;
 233    test_type zero = 0;
 234    // Arithmetic involving signed zero:
 235    BOOST_CHECK_EQUAL(-neg_zero, 0);
 236    BOOST_CHECK(!boost::math::signbit(-neg_zero));
 237    BOOST_CHECK_EQUAL(neg_zero + 2, 2);
 238    BOOST_CHECK_EQUAL(neg_zero + test_type(2), 2);
 239    BOOST_CHECK_EQUAL(2 + neg_zero, 2);
 240    BOOST_CHECK_EQUAL(test_type(2) + neg_zero, 2);
 241    BOOST_CHECK_EQUAL(neg_zero + -2, -2);
 242    BOOST_CHECK_EQUAL(neg_zero + test_type(-2), -2);
 243    BOOST_CHECK_EQUAL(-2 + neg_zero, -2);
 244    BOOST_CHECK_EQUAL(test_type(-2) + neg_zero, -2);
 245    BOOST_CHECK_EQUAL(neg_zero - 2, -2);
 246    BOOST_CHECK_EQUAL(neg_zero - test_type(2), -2);
 247    BOOST_CHECK_EQUAL(2 - neg_zero, 2);
 248    BOOST_CHECK_EQUAL(test_type(2) - neg_zero, 2);
 249    BOOST_CHECK_EQUAL(neg_zero - -2, 2);
 250    BOOST_CHECK_EQUAL(neg_zero - test_type(-2), 2);
 251    BOOST_CHECK_EQUAL(-2 - neg_zero, -2);
 252    BOOST_CHECK_EQUAL(test_type(-2) - neg_zero, -2);
 253    BOOST_CHECK(!boost::math::signbit(test_type(2) + test_type(-2)));
 254    BOOST_CHECK(!boost::math::signbit(test_type(2) - test_type(2)));
 255    BOOST_CHECK(!boost::math::signbit(test_type(-2) - test_type(-2)));
 256    BOOST_CHECK(!boost::math::signbit(test_type(-2) + test_type(2)));
 257    BOOST_CHECK(!boost::math::signbit(zero + zero));
 258    BOOST_CHECK(!boost::math::signbit(zero - zero));
 259    BOOST_CHECK(!boost::math::signbit(neg_zero + zero));
 260    BOOST_CHECK(!boost::math::signbit(zero + neg_zero));
 261    BOOST_CHECK(boost::math::signbit(neg_zero + neg_zero));
 262    BOOST_CHECK(boost::math::signbit(neg_zero - zero));
 263    BOOST_CHECK(!boost::math::signbit(zero - neg_zero));
 264    BOOST_CHECK(!boost::math::signbit(neg_zero - neg_zero));
 265    small = 0.25;
 266    BOOST_CHECK(!boost::math::signbit(floor(small)));
 267    BOOST_CHECK(!boost::math::signbit(round(small)));
 268    BOOST_CHECK(!boost::math::signbit(trunc(small)));
 269    small = -small;
 270    BOOST_CHECK(boost::math::signbit(ceil(small)));
 271    BOOST_CHECK(boost::math::signbit(round(small)));
 272    BOOST_CHECK(boost::math::signbit(trunc(small)));
 273
 274
 275    BOOST_CHECK_EQUAL(neg_zero * 2, 0);
 276    BOOST_CHECK_EQUAL(neg_zero * test_type(2), 0);
 277    BOOST_CHECK_EQUAL(2 * neg_zero, 0);
 278    BOOST_CHECK_EQUAL(test_type(2) * neg_zero, 0);
 279    BOOST_CHECK_EQUAL(neg_zero * -2, 0);
 280    BOOST_CHECK_EQUAL(neg_zero * test_type(-2), 0);
 281    BOOST_CHECK_EQUAL(-2 * neg_zero, 0);
 282    BOOST_CHECK_EQUAL(test_type(-2) * neg_zero, 0);
 283    BOOST_CHECK(boost::math::signbit(neg_zero * 2));
 284    BOOST_CHECK(boost::math::signbit(neg_zero * test_type(2)));
 285    BOOST_CHECK(boost::math::signbit(2 * neg_zero));
 286    BOOST_CHECK(boost::math::signbit(test_type(2) * neg_zero));
 287    BOOST_CHECK(!boost::math::signbit(neg_zero * -2));
 288    BOOST_CHECK(!boost::math::signbit(neg_zero * test_type(-2)));
 289    BOOST_CHECK(!boost::math::signbit(-2 * neg_zero));
 290    BOOST_CHECK(!boost::math::signbit(test_type(-2) * neg_zero));
 291
 292    BOOST_CHECK_EQUAL(neg_zero / 2, 0);
 293    BOOST_CHECK_EQUAL(neg_zero / test_type(2), 0);
 294    BOOST_CHECK_EQUAL(2 / neg_zero, -inf_val);
 295    BOOST_CHECK_EQUAL(test_type(2) / neg_zero, -inf_val);
 296    BOOST_CHECK_EQUAL(neg_zero / -2, 0);
 297    BOOST_CHECK_EQUAL(neg_zero / test_type(-2), 0);
 298    BOOST_CHECK_EQUAL(-2 / neg_zero, inf_val);
 299    BOOST_CHECK_EQUAL(test_type(-2) / neg_zero, inf_val);
 300    BOOST_CHECK(boost::math::signbit(neg_zero / 2));
 301    BOOST_CHECK(boost::math::signbit(neg_zero / test_type(2)));
 302    BOOST_CHECK(boost::math::signbit(2 / neg_zero));
 303    BOOST_CHECK(boost::math::signbit(test_type(2) / neg_zero));
 304    BOOST_CHECK(!boost::math::signbit(neg_zero / -2));
 305    BOOST_CHECK(!boost::math::signbit(neg_zero / test_type(-2)));
 306    BOOST_CHECK(!boost::math::signbit(-2 / neg_zero));
 307    BOOST_CHECK(!boost::math::signbit(test_type(-2) / neg_zero));
 308
 309    BOOST_CHECK(boost::math::signbit(neg_zero.convert_to<double>()));
 310    BOOST_CHECK(boost::math::signbit(neg_zero.convert_to<float>()));
 311    BOOST_CHECK(boost::math::signbit(neg_zero.convert_to<long double>()));
 312    BOOST_CHECK(!boost::math::signbit(zero.convert_to<double>()));
 313    BOOST_CHECK(!boost::math::signbit(zero.convert_to<float>()));
 314    BOOST_CHECK(!boost::math::signbit(zero.convert_to<long double>()));
 315
 316    // Conversions to other types of special values:
 317    if(std::numeric_limits<float>::has_infinity)
 318    {
 319       BOOST_CHECK_EQUAL(inf_val.convert_to<float>(), std::numeric_limits<float>::infinity());
 320       BOOST_CHECK_EQUAL((-inf_val).convert_to<float>(), -std::numeric_limits<float>::infinity());
 321    }
 322    if(std::numeric_limits<float>::has_quiet_NaN)
 323    {
 324       BOOST_CHECK((boost::math::isnan)(nan_val.convert_to<float>()));
 325    }
 326    if(std::numeric_limits<double>::has_infinity)
 327    {
 328       BOOST_CHECK_EQUAL(inf_val.convert_to<double>(), std::numeric_limits<double>::infinity());
 329       BOOST_CHECK_EQUAL((-inf_val).convert_to<double>(), -std::numeric_limits<double>::infinity());
 330    }
 331    if(std::numeric_limits<double>::has_quiet_NaN)
 332    {
 333       BOOST_CHECK((boost::math::isnan)(nan_val.convert_to<double>()));
 334    }
 335    if(std::numeric_limits<long double>::has_infinity)
 336    {
 337       BOOST_CHECK_EQUAL(inf_val.convert_to<long double>(), std::numeric_limits<long double>::infinity());
 338       BOOST_CHECK_EQUAL((-inf_val).convert_to<long double>(), -std::numeric_limits<long double>::infinity());
 339    }
 340    if(std::numeric_limits<long double>::has_quiet_NaN)
 341    {
 342       BOOST_CHECK((boost::math::isnan)(nan_val.convert_to<long double>()));
 343    }
 344 }
 345
 346 int main()
 347 {
 348    test_special_cases();
 349    unsigned error_count = 0;
 350    for(unsigned i = 0; i < 100000; ++i)
 351    {
 352       good_type a = generate_random<good_type>();
 353       good_type b = generate_random<good_type>();
 354       test_type ta(a);
 355       test_type tb(b);
 356
 357       BOOST_CHECK_EQUAL(test_type(a * b), ta * tb);
 358       BOOST_CHECK_EQUAL(test_type(-a * b), -ta * tb);
 359       BOOST_CHECK_EQUAL(test_type(a * -b), ta * -tb);
 360       BOOST_CHECK_EQUAL(test_type(-a * -b), -ta * -tb);
 361
 362       BOOST_CHECK_EQUAL(test_type(a + b), ta + tb);
 363       BOOST_CHECK_EQUAL(test_type(-a + b), -ta + tb);
 364       BOOST_CHECK_EQUAL(test_type(a + -b), ta + -tb);
 365       BOOST_CHECK_EQUAL(test_type(-a + -b), -ta + -tb);
 366
 367       BOOST_CHECK_EQUAL(test_type(a - b), ta - tb);
 368       BOOST_CHECK_EQUAL(test_type(-a - b), -ta - tb);
 369       BOOST_CHECK_EQUAL(test_type(a - -b), ta - -tb);
 370       BOOST_CHECK_EQUAL(test_type(-a - -b), -ta - -tb);
 371
 372       BOOST_CHECK_EQUAL(test_type(a / b), ta / tb);
 373       BOOST_CHECK_EQUAL(test_type(-a / b), -ta / tb);
 374       BOOST_CHECK_EQUAL(test_type(a / -b), ta / -tb);
 375       BOOST_CHECK_EQUAL(test_type(-a / -b), -ta / -tb);
 376
 377       BOOST_CHECK_EQUAL(test_type(sqrt(a)), sqrt(ta));
 378       BOOST_CHECK_EQUAL(test_type(floor(a)), floor(ta));
 379       BOOST_CHECK_EQUAL(test_type(floor(-a)), floor(-ta));
 380       BOOST_CHECK_EQUAL(test_type(ceil(a)), ceil(ta));
 381       BOOST_CHECK_EQUAL(test_type(ceil(-a)), ceil(-ta));
 382
 383 #ifdef TEST_MPFR
 384       //
 385       // Conversions:
 386       //
 387       BOOST_CHECK_EQUAL(a.convert_to<double>(), ta.convert_to<double>());
 388       BOOST_CHECK_EQUAL(a.convert_to<float>(), ta.convert_to<float>());
 389       BOOST_CHECK_EQUAL(b.convert_to<double>(), tb.convert_to<double>());
 390       BOOST_CHECK_EQUAL(b.convert_to<float>(), tb.convert_to<float>());
 391 #else
 392       BOOST_CHECK_EQUAL(a, ta.convert_to<double>());
 393       BOOST_CHECK_EQUAL(static_cast<float>(a), ta.convert_to<float>());
 394       BOOST_CHECK_EQUAL(b, tb.convert_to<double>());
 395       BOOST_CHECK_EQUAL(static_cast<float>(b), tb.convert_to<float>());
 396 #endif
 397
 398       static boost::random::mt19937 i_gen;
 399
 400       int si = i_gen();
 401       BOOST_CHECK_EQUAL(test_type(a * si), ta * si);
 402       BOOST_CHECK_EQUAL(test_type(-a * si), -ta * si);
 403       BOOST_CHECK_EQUAL(test_type(-a * -si), -ta * -si);
 404       BOOST_CHECK_EQUAL(test_type(a * -si), ta * -si);
 405       unsigned ui = std::abs(si);
 406       BOOST_CHECK_EQUAL(test_type(a * ui), ta * ui);
 407       BOOST_CHECK_EQUAL(test_type(-a * ui), -ta * ui);
 408
 409       // Divide:
 410       BOOST_CHECK_EQUAL(test_type(a / si), ta / si);
 411       BOOST_CHECK_EQUAL(test_type(-a / si), -ta / si);
 412       BOOST_CHECK_EQUAL(test_type(-a / -si), -ta / -si);
 413       BOOST_CHECK_EQUAL(test_type(a / -si), ta / -si);
 414       BOOST_CHECK_EQUAL(test_type(a / ui), ta / ui);
 415       BOOST_CHECK_EQUAL(test_type(-a / ui), -ta / ui);
 416       // Error reporting:
 417       if(boost::detail::test_errors() != error_count)
 418       {
 419          error_count = boost::detail::test_errors();
 420          std::cout << std::setprecision(std::numeric_limits<test_type>::max_digits10) << std::scientific;
 421          std::cout << "a (mpfr) = " << a << std::endl;
 422          std::cout << "a (test) = " << ta << std::endl;
 423          std::cout << "b (mpfr) = " << b << std::endl;
 424          std::cout << "b (test) = " << tb << std::endl;
 425          std::cout << "si       = " << si << std::endl;
 426          std::cout << "ui       = " << ui << std::endl;
 427       }
 428    }
 429    return boost::report_errors();
 430 }
 431