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Visible to Intel only — GUID: GUID-FC7A25D1-A591-4D3E-AAD9-C86E97326B76
Visible to Intel only — GUID: GUID-FC7A25D1-A591-4D3E-AAD9-C86E97326B76
erfcinv
Computes the element-wise inverse complementary error function of vector elements.
Description
The erfcinv(a) function computes the inverse complimentary error function values for elements of the input vector a and writes them to the output vector y.
The inverse complementary error function is defined as given by:
where erf(x) denotes the error function and erfinv(x) denotes the inverse error function.
The following figure illustrates the relationships among erfinv family functions (erfinv, erfcinv, cdfnorminv).
Useful relations for these functions:
Argument |
Result |
Error Code |
|---|---|---|
+1 |
+0 |
|
+2 |
- |
status::sing |
-0 |
+ |
status::sing |
+0 |
+ |
status::sing |
a < -0 |
QNAN |
status::errdom |
a > +2 |
QNAN |
status::errdom |
+ |
QNAN |
status::errdom |
- |
QNAN |
status::errdom |
QNAN |
QNAN |
|
SNAN |
QNAN |
API
Syntax
Buffer API
namespace oneapi::mkl::vm {
sycl::event erfcinv(sycl::queue & exec_queue,
std::int64_t n,
sycl::buffer<T> & a,
sycl::buffer<T> & y,
oneapi::mkl::vm::mode mode = oneapi::mkl::vm::mode::not_defined,
oneapi::mkl::vm::error_handler<T> errhandler = {});
}namespace oneapi::mkl::vm {
sycl::event erfcinv(sycl::queue & exec_queue,
sycl::buffer<T> & a,
oneapi::mkl::slice sa,
sycl::buffer<T> & y,
oneapi::mkl::slice sy,
oneapi::mkl::vm::mode mode = oneapi::mkl::vm::mode::not_defined,
oneapi::mkl::vm::error_handler<T> errhandler = {});
}USM API
namespace oneapi::mkl::vm {
sycl::event erfcinv(sycl::queue & exec_queue,
std::int64_t n,
T const * 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 {
sycl::event erfcinv(sycl::queue & exec_queue,
T const * a,
oneapi::mkl::slice sa,
T * y,
oneapi::mkl::slice sy,
std::vector<sycl::event> const & depends = {},
oneapi::mkl::vm::mode mode = oneapi::mkl::vm::mode::not_defined,
oneapi::mkl::vm::error_handler<T> errhandler = {});
}erfcinv supports the following precisions and devices:
T |
Devices supported |
|---|---|
float |
CPU and GPU |
double |
CPU and GPU |
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 containing the input vector.
- sa
-
Slice selector for a. See Data Types for a description of the oneMKL slice type.
- sy
-
Slice selector for y. See Data Types for a description of the oneMKL slice type.
- 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 mode::not_defined.
- errhandler
-
Sets local error handling mode for this function call. See the 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 to the input vector.
- sa
-
Slice selector for a. See Data Types for a description of the oneMKL slice type.
- sy
-
Slice selector for y. See Data Types for a description of the oneMKL slice type.
- depends
-
Vector of dependent events (to wait for input data to be ready). This is an optional parameter. The default is an empty vector.
- 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 mode::not_defined.
- errhandler
-
Sets local error handling mode for this function call. See the ref: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.
- return value (event)
-
Computation end event.
USM API
- y
-
Pointer y to the output vector of size n.
- return value (event)
-
Computation end event.
Examples
An example of how to use erfcinv can be found in the oneMKL installation directory, under:
share/doc/mkl/examples/sycl/vml/source/verfcinv.cpp