Calculates the Euclidean distance function.

#include <math.h>

double hypot(double x, double y);

Remarks

These functions shall compute the value of the square root of x2+ y2 without undue overflow or underflow.

An application wishing to check for error situations should set errno to zero and call feclearexcept(FE_ALL_EXCEPT) before calling these functions. On return, if errno is non-zero or fetestexcept (FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an error has occurred.

Return Values

• Upon successful completion, these functions shall return the length of the hypotenuse of a right-angled triangle with sides of length x and y.
• If the correct value would cause overflow, a range error shall occur and hypot(), hypotf(), and hypotl() shall return the value of the macro HUGE_VAL, HUGE_VALF, and HUGE_VALL, respectively.
• If x or y is -Inf, +Inf shall be returned (even if one of x or y is NaN).
• If x or y is NaN, and the other is not -Inf, a NaN shall be returned.
• If both arguments are subnormal and the correct result is subnormal, a range error may occur and the correct result is returned.

Requirements