HYPOT(3) BSD Library Functions Manual HYPOT(3)[top]NAMEhypot, hypotf, hypotl, cabs, cabsf,cabsl— Euclidean distance and com‐ plex absolute value functionsLIBRARYMath Library (libm, -lm)SYNOPSIS#include <math.h> double hypot(double x, double y); float hypotf(float x, float y); long double hypotl(long double x, long double y); #include <complex.h> double cabs(double complex z); float cabsf(float complex z); long double cabsl(long double complex z);DESCRIPTIONThe hypot(), hypotf() and hypotl() functions compute the sqrt(x*x+y*y) in such a way that underflow will not happen, and overflow occurs only if the final result deserves it. The cabs(), cabsf() and cabsl() functions compute the complex absolute value of z. hypot(∞, v) = hypot(v, ∞) = +∞ for all v, including NaN.ERROR (due to Roundoff, etc.) Below 0.97 ulps. Consequently hypot(5.0, 12.0) = 13.0 exactly; in gen‐ eral, hypot and cabs return an integer whenever an integer might be expected.NOTESAs might be expected, hypot(v, NaN) and hypot(NaN, v) are NaN for all finite v. But programmers might be surprised at first to discover that hypot(±∞, NaN) = +∞. This is intentional; it happens because hypot(∞, v) = +∞ for all v, finite or infinite. Hence hypot(∞, v) is independent of v. Unlike the reserved operand fault on a VAX, the IEEE NaN is designed to disappear when it turns out to be irrelevant, as it does in hypot(∞, NaN).SEE ALSOcarg(3), math(3), sqrt(3)HISTORYBoth a hypot() function and a cabs() function appeared in Version 7 AT&T UNIX.STANDARDSThe hypot(), hypotf(), hypotl(), cabs(), cabsf(), and cabsl() functions conform to ISO/IEC 9899:1999 (“ISO C99”).BSDMarch 30, 2008 BSD

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