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C++ cmath hypot() function

❮ Math Functions


Example

Get the distance of 2D points (x, y) from the origin (0, 0):

cout << hypot(3.0f, 4.0f);
cout << hypot(1.0, 1.0);
cout << hypot(1.0, 10.0);
Try it Yourself »

Definition and Usage

The hypot() function returns the length of the hypotenuse of a right angle triangle with sides of length x and y, which is equivalent to the distance between a 2D point (x, y) and the origin (0, 0).

The hypot() function returns a value equal to sqrt(x * x + y * y) but it is optimized to prevent overflows and underflows caused during intermediate operations such as addition and multiplication.

The hypot() function is defined in the <cmath> header file.


Syntax

One of the following:

hypot(double x, double y);
hypot(float x, float y);

Parameter Values

Parameter Description
x Required. The x coordinate of a point or the length of the adjacent side of a right angle triangle.
If this is an integer type then it will be treated as a double.
y Required. The y coordinate of a point or the length of the opposite side of a right angle triangle.
If this is an integer type then it will be treated as a double.

Technical Details

Returns: A float value (if all the arguments are float) or double value (in any other case) representing the hypotenuse of a right angle triangle, or the distance of a point (x, y) from the origin (0, 0).

❮ Math Functions

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