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frexp(3)							      frexp(3)

       frexp, ldexp, logb, scalb - Manipulate floating-point numbers

       #include <math.h>

       double frexp(
	       double x,
	       int *n ); float frexpf(
	       float x,
	       int *n ); long double frexpl(
	       long double x,
	       int *n ); double ldexp(
	       double y,
	       int n ); float ldexpf(
	       float y,
	       int n ); long double ldexpl(
	       long double y,
	       int n ); double logb(
	       double x ); float logbf(
	       float x ); long double logbl(
	       long double x ); double scalb(
	       double x,
	       double n ); float scalbf(
	       float x,
	       float n ); long double scalbl(
	       long double x,
	       long double n );

       Math Library (libm)

       Interfaces  documented on this reference page conform to industry stan‐
       dards as follows:

       frexp():	 XPG4

       ldexp():	 XPG4

       logb():	XPG4-UNIX

       scalb():	 XPG4-UNIX

       Refer to the standards(5) reference page	 for  more  information	 about
       industry standards and associated tags.

       Every nonzero number can be written uniquely as the normalized mantissa
       (fraction) z times 2 raised to the power p, where the absolute value of
       z is in the range [0.5, 1.0), and the exponent p, is an integer.

       The  frexp(),  frexpf(),	 and frexpl() functions break a floating-point
       number into a normalized fraction and an integral power of 2. The func‐
       tions store the integer in the int object pointed to by the n parameter
       and return the fraction part.

       The ldexp(), ldexpf(), and ldexpl() functions multiply a floating-point
       number, y, by an integral power of 2.

       The logb(), logbf(), and logbl() functions return a signed integer con‐
       verted to double-precision floating-point  and  so  chosen  that	 1  <=
       |x|/2**n < 2 unless x = 0 or |x| = infinity or x lies between 0 and the
       Underflow Threshold.

       IEEE 754 defines logb(+infinity) = +infinity and logb(0)	 =  -infinity.
       The latter is required to signal Division-by-Zero.

       The  scalb(),  scalbf(), and scalbl() functions are defined as x*(2**n)
       for integer n.

       The following table describes function behavior in response  to	excep‐
       tional arguments:

       Function			       Exceptional Argument	Routine Behavior
       frexp(), frexpf(), frexpl()     |x| = infinity		Invalid argument
       logb(), logbf(), logbl()	       |x| = infinity		Invalid argument
       scalb(), scalbf(), scalbl()     x*(2**n) > max_float	Overflow
       scalb(), scalbf(), scalbl()     x*(2**n) < min_float	Underflow
       ldexp(), ldexpf(), ldexpl()     x*(2**n) > max_float	Overflow
       ldexp(), ldexpf(), ldexpl()     x*(2**n) < min_float	Underflow

       The following table lists boundary values used by these functions:

       Value Name   Data Type	Hexadecimal Value   Decimal Value
       max_float    S_FLOAT	7F7FFFFF	    3.402823e38
		    T_FLOAT	7FEFFFFFFFFFFFFF    1.797693134862316e308
       min_float    S_FLOAT	00000001	    1.4012985e-45
		    T_FLOAT	0000000000000001    4.940656458412465e-324


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