vhypot - Vector euclidean distance √︁ _

14.2 vhypot - Vector euclidean distance $√︁------ x2 +y2$

subroutine vhypot (n, z, incz, x, incx, y, incy); 
subroutine vhypotf(n, z, incz, x, incx, y, incy); 
 
subroutine vhypot_64 (n, z, incz, x, incx, y, incy); 
subroutine vhypotf_64(n, z, incz, x, incx, y, incy);

Given input vectors $x$ and $y$ and a result vector $z$ , this function computes:

√︃ -2---2 z = x + y

14.2.1 Parameters

N - INTEGER: ENTRY: Number of elements of $x$ , $y$ and $z$ .
CONSTRAINT: $n ≥1$ .
Z - ARRAY OF REAL: EXIT: Result vector $z$ .
CONSTRAINT: Must contain $n× incz$ elements.
CONSTRAINT: Must not overlap with array $x$ or $y$ .
INCZ - INTEGER: ENTRY: Stride for the vector $z$ .
CONSTRAINT: $incz̸= 0$ .
BEHAVIOR: A negative stride will traverse the array in reverse.
X - ARRAY OF REAL: ENTRY: Input vector $x$ .
CONSTRAINT: Must contain $n× incx$ elements.
CONSTRAINT: Must not overlap with array $z$ or $y$ .
INCX - INTEGER: ENTRY: Stride for the vector $x$ .
CONSTRAINT: $incx̸= 0$ .
BEHAVIOR: A negative stride will traverse the array in reverse.
Y - ARRAY OF REAL: ENTRY: Input vector $y$ .
CONSTRAINT: Must contain $n× incy$ elements.
CONSTRAINT: Must not overlap with array $z$ or $x$ .
INCY - INTEGER: ENTRY: Stride for the vector $y$ .
CONSTRAINT: $incy̸= 0$ .
BEHAVIOR: A negative stride will traverse the array in reverse.

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