vcproj - Vector complex Riemann sphere projection proj(x)

16.6 vcproj - Vector complex Riemann sphere projection $proj(x)$

#include <mvec.h> 
 
void vcproj (int n, double complex *restrict y, int incy, 
             const double complex *restrict x, int incx); 
void vcprojf(int n, float complex *restrict y, int incy, 
             const float complex *restrict x, int incx); 
 
 
void vcproj_64 (long n, double complex *restrict y, long incy, 
                const double complex *restrict x, long incx); 
void vcprojf_64(long n, float complex *restrict y, long incy, 
                const float complex *restrict x, long incx);

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

y =proj(x)

Where $x,y∈ C$ .

16.6.1 Parameters

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

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