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hypot(3) [osx man page]

HYPOT(3)						   BSD Library Functions Manual 						  HYPOT(3)

hypot -- euclidean distance function SYNOPSIS
#include <math.h> double hypot(double x, double y); long double hypotl(long double x, long double y); float hypotf(float x, float y); DESCRIPTION
The hypot() function computes the sqrt(x*x+y*y) without undue overflow or underflow. SPECIAL VALUES
hypot(x, y) , hypot(y, x) , and hypot(x, -y) are equivalent. hypot(x, +-0) is equivalent to fabs(x). hypot(+-infinity, y) returns +infinity even if y is a NaN. SEE ALSO
cabs(3), math(3), sqrt(3) STANDARDS
The hypot() function conforms to ISO/IEC 9899:2011. 4th Berkeley Distribution December 11, 2006 4th Berkeley Distribution

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HYPOT(3)						   BSD Library Functions Manual 						  HYPOT(3)

hypot, hypotf, hypotl, cabs, cabsf, cabsl -- Euclidean distance and complex absolute value functions LIBRARY
Math 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); DESCRIPTION
The 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(infinity, v) = hypot(v, infinity) = +infinity for all v, including NaN. ERROR (due to Roundoff, etc.) Below 0.97 ulps. Consequently hypot(5.0, 12.0) = 13.0 exactly; in general, hypot and cabs return an integer whenever an integer might be expected. NOTES
As 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(+-infinity, NaN) = +infinity. This is intentional; it happens because hypot(infinity, v) = +infinity for all v, finite or infinite. Hence hypot(infinity, 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(infinity, NaN). SEE ALSO
carg(3), math(3), sqrt(3) STANDARDS
The hypot(), hypotf(), hypotl(), cabs(), cabsf(), and cabsl() functions conform to ISO/IEC 9899:1999 (``ISO C99''). HISTORY
Both a hypot() function and a cabs() function appeared in Version 7 AT&T UNIX. BSD
March 30, 2008 BSD
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