hypot man page on 4.4BSD

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

NAME
hypot, cabs — euclidean distance and complex absolute value functions

SYNOPSIS
#include <math.h>

double
hypot(double x, double y);

struct {double x, y;} z;

double
cabs(z);

DESCRIPTION
The hypot() and cabs() functions computes 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.

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.

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; with "reserved operand" in place of "NaN", the same is true on
a VAX.  But programmers on machines other than a VAX (if has no ∞) 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).

math(3), sqrt(3)

HISTORY
Both a hypot() function and a cabs() function appeared in Version 7 AT&T
UNIX.

4th Berkeley Distribution	 June 4, 1993	     4th Berkeley Distribution
```
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