man pages section 3: Extended Library Functions, Volume 2
Updated: July 2014

## vsincospi_(3MVEC)

### Name

vsincospi_, vsincospif_ - vector sincospi functions

### Synopsis

```cc [ flag… ] file… –lmvec [ library… ]

void vsincospi_(int *n, double * restrict x, int *stridex,
double * restrict s, int *strides, double * restrict c,
int *stridec);```
```void vsincospif_(int *n, float * restrict x, int *stridex,
float * restrict s, int *strides, float * restrict c,
int *stridec);```

### Description

These functions evaluate both sinpi(x) and cospi(x), defined by sinpi(x) = sin(?? * x) and cospi( x) = cos(?? * x), for an entire vector of values at once. The first parameter specifies the number of values to compute. Subsequent parameters specify the argument and result vectors. Each vector is described by a pointer to the first element and a stride, which is the increment between successive elements.

Specifically, vsincospi_(n, x, sx, s, ss, c, sc) simultaneously computes s[i * *ss] = sinpi(x[i * *sx]) and c[i * *sc] = cospi(x[i * *sx]) for each i = 0, 1, ..., *n - 1. The vsincosf_() function performs the same computation for single precision data.

Non-exceptional results are accurate to within a unit in the last place.

### Usage

The element count *n must be greater than zero. The strides for the argument and result arrays can be arbitrary integers, but the arrays themselves must not be the same or overlap. A zero stride effectively collapses an entire vector into a single element. A negative stride causes a vector to be accessed in descending memory order, but note that the corresponding pointer must still point to the first element of the vector to be used; if the stride is negative, this will be the highest-addressed element in memory. This convention differs from the Level 1 BLAS, in which array parameters always refer to the lowest-addressed element in memory even when negative increments are used.

These functions assume that the default round-to-nearest rounding direction mode is in effect. On x86, these functions also assume that the default round-to-64-bit rounding precision mode is in effect. The result of calling a vector function with a non-default rounding mode in effect is undefined.

These functions handle special cases and exceptions in the spirit of IEEE 754. In particular,

• sinpi(NaN), cospi(NaN) are NaN,

• sinpi(±0) is ±0,

• sinpi(±Inf), cospi(±Inf) are NaN, and an invalid operation exception is raised.

An application wanting to check for exceptions should call feclearexcept(FE_ALL_EXCEPT) before calling these functions. On return, if fetestexcept(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an exception has been raised. The application can then examine the result or argument vectors for exceptional values. Some vector functions can raise the inexact exception even if all elements of the argument array are such that the numerical results are exact.

### Attributes

See attributes(5) for descriptions of the following attributes:

ATTRIBUTE TYPE
ATTRIBUTE VALUE
Interface Stability
Committed
MT-Level
MT-Safe