cosh.rst

cosh

Computes hyperbolic cosine of vector elements.

Syntax

Buffer API:

namespace oneapi::mkl::vm {

sycl::event cosh(
        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,
        oneapi::mkl::vm::error_handler<T> errhandler = {});

} // namespace oneapi::mkl::vm

USM API:

namespace oneapi::mkl::vm {

sycl::event cosh(
        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,
        oneapi::mkl::vm::error_handler<T> errhandler = {});

} // namespace oneapi::mkl::vm

cosh supports the following precisions.

T
float
double
std::complex<float>
std::complex<double>

Description

The cosh(a) function computes hyperbolic cosine of vector elements.

Data Type	Threshold Limitations on Input Parameters
single precision	-Log(FLT_MAX)-Log2 <a[i] < Log(FLT_MAX)+Log2
double precision	-Log(DBL_MAX)-Log2 <a[i] < Log(DBL_MAX)+Log2

Argument	Result	Status code
+0	+1
-0	+1
X > overflow	+∞	oneapi::mkl::vm::status::overflow
X < -overflow	+∞	oneapi::mkl::vm::status::overflow
+∞	+∞
-∞	+∞
QNAN	QNAN
SNAN	QNAN

+i·∞	+∞+i·QNAN	QNAN+i·QNAN	QNAN-i·0	QNAN+i·0	QNAN+i·QNAN	+∞+i·QNAN	QNAN+i·QNAN
+i·Y	+∞·Cos(Y)- i·∞·Sin(Y)					+∞·CIS(Y)	QNAN+i·QNAN
+i·0	+∞-i·0		+1-i·0	+1+i·0		+∞+i·0	QNAN+i·0
-i·0	+∞+i·0		+1+i·0	+1-i·0		+∞-i·0	QNAN-i·0
-i·Y	+∞·Cos(Y)- i·∞·Sin(Y)					+∞·CIS(Y)	QNAN+i·QNAN
-i·∞	+∞+i·QNAN	QNAN+i·QNAN	QNAN+i·0	QNAN-i·0	QNAN+i·QNAN	+∞+i·QNAN	QNAN+i·QNAN
+i·NAN	+∞+i·QNAN	QNAN+i·QNAN	QNAN+i·QNAN	QNAN-i·QNAN	QNAN+i·QNAN	+∞+i·QNAN	QNAN+i·QNAN

Notes:

• The complex cosh(a) function sets the VM status code to

  oneapi::mkl::vm::status::overflow in the case of overflow, that is, when RE(a), IM(a) are finite non-zero numbers, but the real or imaginary part of the exact result is so large that it does not meet the target precision.

• cosh(CONJ(a))=CONJ(cosh(a))
• cosh(-a)=cosh(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 :ref:`onemkl_vm_setmode` function for possible values and their description. This is an optional parameter. The default value is oneapi::mkl::vm::mode::not_defined.

errhandler

Sets local error handling mode for this function call. See the :ref:`onemkl_vm_create_error_handler` function for arguments and their descriptions. This is an optional parameter. The local error handler is disabled by default.

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 :ref:`onemkl_vm_setmode` function for possible values and their description. This is an optional parameter. The default value is oneapi::mkl::vm::mode::not_defined.

errhandler

Sets local error handling mode for this function call. See the :ref:`onemkl_vm_create_error_handler` function for arguments and their descriptions. This is an optional parameter. The local error handler is disabled by default.

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  :ref:`onemkl_vm_exceptions`

Parent topic: :ref:`onemkl_vm_mathematical_functions`