vmlssgnd - Softsign activation (first derivative)

4.20 vmlssgnd - Softsign activation (first derivative)

#include <mvecml.h> 
 
void vmlssgnd (int n, double *restrict y, int incy, const double *restrict x, int incx); 
void vmlssgndf(int n, float *restrict y, int incy, const float *restrict x, int incx); 
 
void vmlssgnd_64(long n, double *restrict y, long incy, const double *restrict x, long incx); 
void vmlssgndf_64(long n, float *restrict y, long incy, const float *restrict x, long incx);

Given an input vector $x$ and a result vector $y$ this function computes the first derivative of the Softsign activation function of the values in the $x$ vector and stores the result in the $y$ vector.

. -----|x-|----- y= (x2 +1)|x|+2x2

4.20.1 Parameters

N - INTEGER: ENTRY: Number of elements of $x$ and $y$ .
CONSTRAINT: $n ≥1$ .
Y - ARRAY OF REAL: 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 REAL: 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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