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      std::frexp,std::frexpf,std::frexpl

      From cppreference.com
      <cpp‎ |numeric‎ |math
       
       
       
      Common mathematical functions
      Nearest integer floating point operations
      (C++11)(C++11)(C++11)
      (C++11)
      (C++11)
      (C++11)(C++11)(C++11)
      Floating point manipulation functions
      (C++11)(C++11)
      (C++11)
      (C++11)
      frexp
      (C++11)(C++11)
      (C++11)
      Classification and comparison
      (C++11)
      (C++11)
      (C++11)
      (C++11)
      (C++11)
      (C++11)
      Types
      (C++11)
      (C++11)
      (C++11)
      Macro constants
       
      Defined in header<cmath>
      (1)
      float       frexp(float num,int* exp);

      double      frexp(double num,int* exp);

      longdouble frexp(longdouble num,int* exp);
      (until C++23)
      constexpr/* floating-point-type */
                  frexp(/* floating-point-type */ num,int* exp);
      (since C++23)
      float       frexpf(float num,int* exp);
      (2)(since C++11)
      (constexpr since C++23)
      longdouble frexpl(longdouble num,int* exp);
      (3)(since C++11)
      (constexpr since C++23)
      Defined in header<cmath>
      template<class Integer>
      double      frexp( Integer num,int* exp);
      (A)(constexpr since C++23)
      1-3) Decomposes given floating point valuenum into a normalized fraction and an integral exponent of two. The library provides overloads ofstd::frexp for all cv-unqualified floating-point types as the type of the parameternum.(since C++23)
      A) Additional overloads are provided for all integer types, which are treated asdouble.
      (since C++11)

      Contents

      [edit]Parameters

      num - floating-point or integer value
      exp - pointer to integer value to store the exponent to

      [edit]Return value

      Ifnum is zero, returns zero and stores zero in*exp.

      Otherwise (ifnum is not zero), if no errors occur, returns the valuex in the range(-1, -0.5], [0.5, 1) and stores an integer value in*exp such thatx×2(*exp)
      == num
      .

      If the value to be stored in*exp is outside the range ofint, the behavior is unspecified.

      [edit]Error handling

      This function is not subject to any errors specified inmath_errhandling.

      If the implementation supports IEEE floating-point arithmetic (IEC 60559),

      • Ifnum is ±0, it is returned, unmodified, and0 is stored in*exp.
      • Ifnum is ±∞, it is returned, and an unspecified value is stored in*exp.
      • Ifnum is NaN, NaN is returned, and an unspecified value is stored in*exp.
      • No floating-point exceptions are raised.
      • IfFLT_RADIX is 2 (or a power of 2), the returned value is exact,the current rounding mode is ignored.

      [edit]Notes

      On a binary system (whereFLT_RADIX is2),std::frexp may be implemented as

      {*exp=(value==0)?0:(int)(1+std::logb(value));returnstd::scalbn(value,-(*exp));}

      The functionstd::frexp, together with its dual,std::ldexp, can be used to manipulate the representation of a floating-point number without direct bit manipulations.

      The additional overloads are not required to be provided exactly as(A). They only need to be sufficient to ensure that for their argumentnum of integer type,std::frexp(num, exp) has the same effect asstd::frexp(static_cast<double>(num), exp).

      [edit]Example

      Compares different floating-point decomposition functions:

      Run this code
      #include <cmath>#include <iostream>#include <limits> 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';}

      Possible output:

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

      [edit]See also

      (C++11)(C++11)
      multiplies a number by2 raised to an integral power
      (function)[edit]
      (C++11)(C++11)(C++11)
      extracts exponent of the number
      (function)[edit]
      (C++11)(C++11)(C++11)
      extracts exponent of the number
      (function)[edit]
      (C++11)(C++11)
      decomposes a number into integer and fractional parts
      (function)[edit]
      Retrieved from "https://en.cppreference.com/mwiki/index.php?title=cpp/numeric/math/frexp&oldid=177735"

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