Math Vector Library 1.1 Machine Learning Extension
Programming Reference Manual Fortran
Version 1.1 DD-00004-111

4.12 vmlsplud - Softplus activation (first derivative)

subroutine vmlsplud (n, y, incy, x, incx); 
subroutine vmlspludf(n, y, incy, x, incx); 
 
subroutine vmlsplud_64 (n, y, incy, x, incx); 
subroutine vmlspludf_64(n, y, incy, x, incx);

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

  .---1--
y= 1+ e-x
4.12.1 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.