C++ Math frexp()

This function breaks the floating point number into the binary significand and an integral exponent.

Let the floating point number be x then,

x = (significand)*2e

where, 'e' is the exponent and 'significand' is the binary significand

Syntax

Suppose a floating point number be 'x' and pointer be 'exp':

Parameter

x: The value which is to be decomposed into the binary significand.

exp: It is a pointer to an int, where the value of exponent is stored.

Return value

It returns the binary significand which is the absolute value lies between 0.5(included) and 1(excluded).

ParameterSignificandexponent
x=0zerozero
x>=1positive numberpositive number
x>= -1negative numberpositive number
-1<x<0negative numbernegative number
0<x<1positive numbernegative number

Example 1

Let's see a simple example when the value of x is greater than 1.

Output:

Value of x is : 2
2=0.5 * 2^2

In this example, frexp() function calculates the binary significand of a floating point number when the value of x is greater than 1.

Example 2

Let's see a simple example when the value of x is zero

Output:

Value of x is : 0
0=0 * 2^0

In this example, frexp() function calculates the binary significand of a floating point number when the value of x is zero.

Example 3

Let's see a simple example when the value of x lies between 0 and 1.

Output:

Value of x is : 0.4
0.4=0.8 * 2^-1

In this example, frexp() function calculates the binary significand of a floating point number when the value of x lies between 0 and 1.

Example 4

Let's see a simple example when the value of x lies between -1 and 0.

Output:

Value of x is : -0.1
-0.1=-0.8 * 2^-3

In this example, frexp() function calculates the binary significand of a floating point number when the value of x lies between -1 and 0.

Example 5

Let's see the simple example when the value of x is less than -1.

Output:

Value of x is : -5
-5=-0.625 * 2^3

In this example, frexp() function calculates the binary significand of a floating point nmber when the value of x is less than -1.






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