vti2 - Vector Inverse Tangent Integral Ti2(x)

13.3 vti2 - Vector Inverse Tangent Integral $Ti2(x)$

#include <mvec.h> 
 
void vti2 (int n, double *restrict y, int incy, const double *restrict x, int incx); 
void vti2f(int n, float *restrict y, int incy, const float *restrict x, int incx); 
 
void vti2_64 (long n, double *restrict y, long incy, const double *restrict x, long incx); 
void vti2f_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:

∫ xtan-1(x) y =Ti2(x)= 0 ---x--- dx

13.3.1 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.

[next] [prev] [prev-tail] [front] [up]