Ticket #12527: af_p3d.cpp

File af_p3d.cpp, 1.7 KB (added by Michael Shatz, 6 years ago)

demonstrates double rounding in cpp_bin_float convert_to<double> when the result is subnormal

Line 
1#include <stdint.h>
2#include <stdio.h>
3#include <cmath>
4#include <iostream>
5#include <boost/multiprecision/cpp_bin_float.hpp>
6
7typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<128, boost::multiprecision::backends::digit_base_2> > boost_quadfloat_t;
8
9double my_convert_to_double(const boost_quadfloat_t& x)
10{
11 if (isnormal(x)) {
12 if (x.backend().exponent() < -1023+1) {
13 // subnormal or zero
14 if (x.backend().exponent() < -1023 - 52) {
15 return x.backend().sign() ? -0.0 : 0.0; // underflow
16 }
17 double adj = x.backend().sign() ? -DBL_MIN : DBL_MIN;
18 boost_quadfloat_t tmp = x + adj;
19 return tmp.convert_to<double>() - adj;
20 }
21 }
22 return x.convert_to<double>();
23}
24
25int main(int , char** )
26{
27 boost_quadfloat_t b = ldexp(boost_quadfloat_t(0x8000000000000bffull), -63 - 1023);
28 double d0 = b.convert_to<double>();
29 double d1 = std::nexttoward(d0, d0 < b ? DBL_MAX : -DBL_MAX);
30
31 std::cout
32 << std::setprecision(21)
33 << b << " = b\n"
34 << d0 << " = d0 = b.convert_to<double>()\n"
35 << d1 << " = d1 = std::nexttoward(d0, ...)\n"
36 << abs(d0 - b) << " = abs(d0 - b)\n"
37 << abs(d1 - b) << " = abs(d1 - b)\n"
38 << ((abs(d1 - b) < abs(d0 - b)) ? "d0 is not the closest representable double!!!\n" : "o.k.\n")
39 ;
40
41 d0 = my_convert_to_double(b);
42 d1 = std::nexttoward(d0, d0 < b ? DBL_MAX : -DBL_MAX);
43 std::cout
44 << d0 << " = d0 = my_convert_to_double(b)\n"
45 << d1 << " = d1 = std::nexttoward(d0, ...)\n"
46 << abs(d0 - b) << " = abs(d0 - b)\n"
47 << abs(d1 - b) << " = abs(d1 - b)\n"
48 << ((abs(d1 - b) < abs(d0 - b)) ? "d0 is not the closest representable double!!!\n" : "o.k.\n")
49 ;
50
51 return 0;
52}