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HYPOT (3) | C library functions | Unix Manual Pages | :man

NAME

hypot, hypotf, cabs, cabsf - Euclidean distance and complex absolute value functions

CONTENTS

Library
Synopsis
Description
ERROR (due to Roundoff, etc.)
Notes
See Also
History

LIBRARY


.Lb libm

SYNOPSIS


.In math.h double hypot "double x" "double y" float hypotf "float x" "float y"
.In complex.h double cabs "double complex z" float cabsf "float complex z"

DESCRIPTION

The hypot and hypotf 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 and cabsf functions compute the complex absolute value of z.

hypot "oo" "v" = hypot "v" "oo" = +oo 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.

The same cannot be said for the shorter and faster version of hypot and cabs that is provided in the comments in cabs.c; its error can exceed 1.2 ulps.

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 "±oo" "NaN" = +oo. This is intentional; it happens because hypot "oo" "v" = +oo for all v, finite or infinite. Hence hypot "oo" "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 "oo" "NaN".

SEE ALSO

math(3), sqrt(3)

HISTORY


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