# asinh#

Computes inverse hyperbolic sine of vector elements.

Syntax

Buffer API:

```namespace oneapi::mkl::vm {

sycl::event asinh(
sycl::queue& exec_queue,
std::int64_t n,
sycl::buffer<T,1>& a,
sycl::buffer<T,1>& y,
oneapi::mkl::vm::mode mode = oneapi::mkl::vm::mode::not_defined);

} // namespace oneapi::mkl::vm
```

USM API:

```namespace oneapi::mkl::vm {

sycl::event asinh(
sycl::queue& exec_queue,
std::int64_t n,
const T *a,
T* y,
std::vector<sycl::event> const & depends = {},
oneapi::mkl::vm::mode mode = oneapi::mkl::vm::mode::not_defined);

} // namespace oneapi::mkl::vm
```

`asinh` supports the following precisions.

T

`float`

`double`

`std::complex<float>`

`std::complex<double>`

Description

The asinh(a) function computes inverse hyperbolic sine of vector elements.

Argument

Result

Status code

+0

+0

-0

-0

+∞

+∞

-∞

-∞

QNAN

QNAN

SNAN

QNAN

RE(a) i·IM(a)

-∞

-X

-0

+0

+X

+∞

NAN

+i·∞

-∞+i·`π`/4

-∞+i·`π`/2

+∞+i·`π`/2

+∞+i·`π`/2

+∞+i·`π`/2

+∞+i·`π`/4

+∞+i·QNAN

+i·Y

-∞+i·0

+∞+i·0

QNAN+i·QNAN

+i·0

+∞+i·0

+0+i·0

+0+i·0

+∞+i·0

QNAN+i·QNAN

-i·0

-∞-i·0

-0-i·0

+0-i·0

+∞-i·0

QNAN-i·QNAN

-i·Y

-∞-i·0

+∞-i·0

QNAN+i·QNAN

-i·∞

-∞-i·`π`/4

-∞-i·`π`/2

-∞-i·`π`/2

+∞-i·`π`/2

+∞-i·`π`/2

+∞-i·`π`/4

+∞+i·QNAN

+i·NAN

-∞+i·QNAN

QNAN+i·QNAN

QNAN+i·QNAN

QNAN+i·QNAN

QNAN+i·QNAN

+∞+i·QNAN

QNAN+i·QNAN

The asinh(a) function does not generate any errors.

Notes:

• `asinh(CONJ(a))=CONJ(asinh(a))`

• `asinh(-a)=-asinh(a)`.

Input Parameters

Buffer API:

exec_queue

The queue where the routine should be executed.

n

Specifies the number of elements to be calculated.

a

The buffer `a` containing input vector of size `n`.

mode

Overrides the global VM mode setting for this function call. See set_mode function for possible values and their description. This is an optional parameter. The default value is `oneapi::mkl::vm::mode::not_defined`.

USM API:

exec_queue

The queue where the routine should be executed.

n

Specifies the number of elements to be calculated.

a

Pointer `a` to the input vector of size `n`.

depends

Vector of dependent events (to wait for input data to be ready).

mode

Overrides the global VM mode setting for this function call. See the set_mode function for possible values and their description. This is an optional parameter. The default value is `oneapi::mkl::vm::mode::not_defined`.

Output Parameters

Buffer API:

y

The buffer `y` containing the output vector of size `n`.

USM API:

y

Pointer `y` to the output vector of size `n`.

return value (event)

Event, signifying availability of computed output and status code(s).

Exceptions

For list of generated exceptions please refer to  Exceptions