std::ilogb,std::ilogbf,std::ilogbl (3) - Linux Man Pages

std::ilogb,std::ilogbf,std::ilogbl: std::ilogb,std::ilogbf,std::ilogbl

NAME

std::ilogb,std::ilogbf,std::ilogbl - std::ilogb,std::ilogbf,std::ilogbl

Synopsis


Defined in header <cmath>
int ilogb ( float arg ); (1) (since C++11)
int ilogbf( float arg );
int ilogb ( double arg ); (2) (since C++11)
int ilogb ( long double arg ); (3) (since C++11)
int ilogbl( long double arg );
int ilogb ( IntegralType arg ); (4) (since C++11)
#define FP_ILOGB0 /*implementation-defined*/ (5) (since C++11)
#define FP_ILOGBNAN /*implementation-defined*/ (6) (since C++11)


1-3) Extracts the value of the unbiased exponent from the floating-point argument arg, and returns it as a signed integer value.
4) A set of overloads or a function template accepting an argument of any integral_type. Equivalent to (2) (the argument is cast to double).
5) Expands to integer constant expression whose value is either INT_MIN or -INT_MAX.
6) Expands to integer constant expression whose value is either INT_MIN or +INT_MAX.
Formally, the unbiased exponent is the integral part of log
r|arg| as a signed integral value, for non-zero arg, where r is std::numeric_limits<T>::radix and T is the floating-point type of arg.

Parameters


arg - floating point value

Return value


If no errors occur, the unbiased exponent of arg is returned as a signed int value.
If arg is zero, FP_ILOGB0 is returned.
If arg is infinite, INT_MAX is returned.
If arg is a NaN, FP_ILOGBNAN is returned.
If the correct result is greater than INT_MAX or smaller than INT_MIN, the return value is unspecified.

Error handling


Errors are reported as specified in math_errhandling.
A domain error or range error may occur if arg is zero, infinite, or NaN.
If the correct result is greater than INT_MAX or smaller than INT_MIN, a domain error or a range error may occur
If the implementation supports IEEE floating-point arithmetic (IEC 60559),


* If the correct result is greater than INT_MAX or smaller than INT_MIN, FE_INVALID is raised.
* If arg is ±0, ±∞, or NaN, FE_INVALID is raised.
* In all other cases, the result is exact (FE_INEXACT is never raised) and the_current_rounding_mode is ignored

Notes


If arg is not zero, infinite, or NaN, the value returned is exactly equivalent to static_cast<int>(std::logb(arg))
POSIX_requires that a domain error occurs if arg is zero, infinite, NaN, or if the correct result is outside of the range of int.
POSIX also requires that, on XSI-conformant systems, the value returned when the correct result is greater than INT_MAX is INT_MAX and the value returned when the correct result is less than INT_MIN is INT_MIN.
The correct result can be represented as int on all known implementations. For overflow to occur, INT_MAX must be less than LDBL_MAX_EXP*log2(FLT_RADIX) or INT_MIN must be greater than LDBL_MIN_EXP-LDBL_MANT_DIG)*log2(FLT_RADIX).
The value of the exponent returned by std::ilogb is always 1 less than the exponent retuned by std::frexp because of the different normalization requirements: for the exponent e returned by std::ilogb, |arg*r-e
| is between 1 and r (typically between 1 and 2), but for the exponent e returned by std::frexp, |arg*2-e
| is between 0.5 and 1.

Example


Compares different floating-point decomposition functions
// Run this code


  #include <iostream>
  #include <cmath>
  #include <limits>
  #include <cfenv>


  #pragma STDC FENV_ACCESS ON
  int main()
  {
      double f = 123.45;
      std::cout << "Given the number " << f << " or " << std::hexfloat
                << f << std::defaultfloat << " in hex,\n";


      double f3;
      double f2 = std::modf(f, &f3);
      std::cout << "modf() makes " << f3 << " + " << f2 << '\n';


      int i;
      f2 = std::frexp(f, &i);
      std::cout << "frexp() makes " << f2 << " * 2^" << i << '\n';


      i = std::ilogb(f);
      std::cout << "logb()/ilogb() make " << f/std::scalbn(1.0, i) << " * "
                << std::numeric_limits<double>::radix
                << "^" << std::ilogb(f) << '\n';


      // error handling
      std::feclearexcept(FE_ALL_EXCEPT);
      std::cout << "ilogb(0) = " << std::ilogb(0) << '\n';
      if (std::fetestexcept(FE_INVALID))
          std::cout << " FE_INVALID raised\n";
  }

Possible output:


  Given the number 123.45 or 0x1.edccccccccccdp+6 in hex,
  modf() makes 123 + 0.45
  frexp() makes 0.964453 * 2^7
  logb()/ilogb() make 1.92891 * 2^6
  ilogb(0) = -2147483648
      FE_INVALID raised

See also


frexp
frexpf
frexpl decomposes a number into significand and a power of 2
         (function)


(C++11)
(C++11)


logb
logbf
logbl extracts exponent of the number
         (function)
(C++11)
(C++11)
(C++11)


scalbn
scalbnf
scalbnl
scalbln
scalblnf
scalblnl multiplies a number by FLT_RADIX raised to a power
         (function)
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)