vmlsmhtd - SMHT activation (first derivative)

4.30 vmlsmhtd - SMHT activation (first derivative)

#include <mvecml.h> 
 
void vmlsmhtd(int n, double *restrict y, int incy, 
              double a, double b, double c, double d, const double *restrict x, int incx); 
void vmlsmhtdf(int n, float *restrict y, int incy, 
               float a, float b, float c, float d, const float *restrict x, int incx); 
 
void vmlsmhtd_64(long n, double *restrict y, long incy, 
                 double a, double b, double c, double d, const double *restrict x, long incx); 
void vmlsmhtdf_64(long n, float *restrict y, long incy, 
                  float a, float b, float c, float d, const float *restrict x, long incx);

Given an input vector $x$ , a result vector $y$ and constants $λ$ and $α$ this function computes the first derivative of the Soboleva modified hyperbolic tangent (SMHT) activation function of the values in the $x$ vector and stores the result in the $y$ vector.

. aeax+be-bx cecx-de-dx y= -ecx+e-dx---smht(x)-ecx+-e-dx--

4.30.1 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.
A - REAL: ENTRY: Constant $a$ .
B - REAL: ENTRY: Constant $b$ .
C - REAL: ENTRY: Constant $c$ .
D - REAL: ENTRY: Constant $d$ .
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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