VRHYPOT_(3MVEC) Vector Math Library Functions VRHYPOT_(3MVEC)

## NAME

vrhypot_, vrhypotf_ - vector reciprocal hypotenuse functions

## SYNOPSIS

cc [ flag... ] file... -lmvec [ library... ]

void vrhypot_(int *n, double * restrict x, int *stridex,
double * restrict y, int *stridey, double * restrict z,
int *stridez);

void vrhypotf_(int *n, float * restrict x, int *stridex,
float * restrict y, int *stridey, float * restrict z,
int *stridez);

## DESCRIPTION

These functions evaluate the function rhypot(x, y), defined by rhypot(x,
y) = 1 / hypot(x, y), for an entire vector of values at once. The first
parameter specifies the number of values to compute. Subsequent
parameters specify the argument and result vectors. Each vector is
described by a pointer to the first element and a stride, which is the
increment between successive elements.

Specifically, vrhypot_(n, x, sx, y, sy, z, sz) computes z[i * *sz] =
rhypot(x[i * *sx], y[i * *sy]) for each i = 0, 1, ..., *n - 1. The
vrhypotf_() function performs the same computation for single precision
data.

These functions are not guaranteed to deliver results that are identical
to the results of evaluating 1.0 / hypot(x, y) given the same arguments.
Non-exceptional results, however, are accurate to within a unit in the
last place.

## USAGE

The element count *n must be greater than zero. The strides for the
argument and result arrays can be arbitrary integers, but the arrays
themselves must not be the same or overlap. A zero stride effectively
collapses an entire vector into a single element. A negative stride
causes a vector to be accessed in descending memory order, but note that
the corresponding pointer must still point to the first element of the
vector to be used; if the stride is negative, this will be the highest-
addressed element in memory. This convention differs from the Level 1
BLAS, in which array parameters always refer to the lowest-addressed
element in memory even when negative increments are used.

These functions assume that the default round-to-nearest rounding
direction mode is in effect. On x86, these functions also assume that the
default round-to-64-bit rounding precision mode is in effect. The result
of calling a vector function with a non-default rounding mode in effect
is undefined.

These functions handle special cases and exceptions in the spirit of IEEE
754. In particular,

o if x or y is +-Inf, rhypot(x, y) is +0, even if the other of x
or y is NaN,

o if x or y is NaN and neither is infinite, rhypot(x, y) is NaN

o if x and y are both zero, rhypot(x, y) is +0, and a division-
by-zero exception is raised.

An application wanting to check for exceptions should call
feclearexcept(FE_ALL_EXCEPT) before calling these functions. On return,
if fetestexcept(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW)
is non-zero, an exception has been raised. The application can then
examine the result or argument vectors for exceptional values. Some
vector functions can raise the inexact exception even if all elements of
the argument array are such that the numerical results are exact.

## ATTRIBUTES

See attributes(5) for descriptions of the following attributes:

+----------------------------+-----------------------------+
| ATTRIBUTE TYPE | ATTRIBUTE VALUE |
+----------------------------+-----------------------------+
|Interface Stability | Committed |
+----------------------------+-----------------------------+
|MT-Level | MT-Safe |
+----------------------------+-----------------------------+