NAG Library Manual, Mark 27.2
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NAG CL Interface
f16ecc (daxpby)
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NAG Library Manual, Mark 27.2
Interfaces:
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CL
CPP
AD
NAG CL Interface Introduction
F16 (Blast) Chapter Contents
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▸
▿
Contents
1
Purpose
2
Specification
3
Description
4
References
5
Arguments
6
Error Indicators and Warnings
7
Accuracy
8
Parallelism and Performance
9
Further Comments
▸
▿
10
Example
10.1
Program Text
10.2
Program Data
10.3
Program Results
© The Numerical Algorithms Group Ltd. 2021
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1
Purpose
f16ecc
computes the sum of two scaled vectors, for real vectors and scalars.
2
Specification
copy
#include <nag.h>
void
f16ecc
(
Integer
n
,
double
alpha
,
const double
x
[],
Integer
incx
,
double
beta
,
double
y
[],
Integer
incy
,
NagError *
fail
)
The function may be called by the names:
f16ecc
,
nag_blast_daxpby
or
nag_daxpby
.
3
Description
f16ecc
performs the operation
y
←
α
x
+
β
y
where
x
and
y
are
n
-element real vectors, and
α
and
β
real scalars. If
n
is equal to zero, or if
α
is equal to zero and
β
is equal to
1
, this function returns immediately.
4
References
Basic Linear Algebra Subprograms Technical (BLAST) Forum (2001)
Basic Linear Algebra Subprograms Technical (BLAST) Forum Standard
University of Tennessee, Knoxville, Tennessee
https://www.netlib.org/blas/blast-forum/blas-report.pdf
5
Arguments
1:
n
–
Integer
Input
On entry
:
n
, the number of elements in
x
and
y
.
Constraint
:
n
≥
0
.
2:
alpha
–
double
Input
On entry
: the scalar
α
.
3:
x
[
dim
]
–
const double
Input
Note:
the dimension,
dim
, of the array
x
must be at least
max
(
1
,
1
+
(
n
-
1
)
×
|
incx
|
)
.
On entry
: the
n
-element vector
x
.
If
incx
>
0
,
x
i
must be stored in
x
[
(
i
-
1
)
×
incx
]
, for
i
=
1
,
2
,
…
,
n
.
If
incx
<
0
,
x
i
must be stored in
x
[
(
n
-
i
)
×
|
incx
|
]
, for
i
=
1
,
2
,
…
,
n
.
Intermediate elements of
x
are not referenced. If
n
=
0
,
x
is not referenced and may be
NULL
.
4:
incx
–
Integer
Input
On entry
: the increment in the subscripts of
x
between successive elements of
x
.
Constraint
:
incx
≠
0
.
5:
beta
–
double
Input
On entry
: the scalar
β
.
6:
y
[
dim
]
–
double
Input/Output
Note:
the dimension,
dim
, of the array
y
must be at least
max
(
1
,
1
+
(
n
-
1
)
×
|
incy
|
)
.
On entry
: the
n
-element vector
y
.
If
incy
>
0
,
y
i
must be stored in
y
[
(
i
-
1
)
×
incy
]
, for
i
=
1
,
2
,
…
,
n
.
If
incy
<
0
,
y
i
must be stored in
y
[
(
n
-
i
)
×
|
incy
|
]
, for
i
=
1
,
2
,
…
,
n
.
Intermediate elements of
y
are not referenced.
On exit
: the updated vector
y
stored in the array elements used to supply the original vector
y
.
Intermediate elements of
y
are unchanged.
7:
incy
–
Integer
Input
On entry
: the increment in the subscripts of
y
between successive elements of
y
.
Constraint
:
incy
≠
0
.
8:
fail
–
NagError *
Input/Output
The NAG error argument (see
Section 7
in the Introduction to the NAG Library CL Interface).
6
Error Indicators and Warnings
NE_ALLOC_FAIL
Dynamic memory allocation failed.
See
Section 3.1.2
in the Introduction to the NAG Library CL Interface for further information.
NE_BAD_PARAM
On entry, argument
⟨
value
⟩
had an illegal value.
NE_INT
On entry,
incx
=
⟨
value
⟩
.
Constraint:
incx
≠
0
.
On entry,
incy
=
⟨
value
⟩
.
Constraint:
incy
≠
0
.
On entry,
n
=
⟨
value
⟩
.
Constraint:
n
≥
0
.
NE_NO_LICENCE
Your licence key may have expired or may not have been installed correctly.
See
Section 8
in the Introduction to the NAG Library CL Interface for further information.
7
Accuracy
The BLAS standard requires accurate implementations which avoid unnecessary over/underflow (see Section 2.7 of
Basic Linear Algebra Subprograms Technical (BLAST) Forum (2001)
).
8
Parallelism and Performance
f16ecc
makes calls to BLAS and/or LAPACK routines, which may be threaded within the vendor library used by this implementation. Consult the documentation for the vendor library for further information.
Please consult the
X06 Chapter Introduction
for information on how to control and interrogate the OpenMP environment used within this function. Please also consult the
Users' Note
for your implementation for any additional implementation-specific information.
9
Further Comments
None.
10
Example
This example computes the result of a scaled vector accumulation for
α
=
3
,
x
=
(
−6
,
4.5
,
3.7
,
2.1
,
−4
)
T
,
β
=
−1
,
y
=
(
-
5.1
,
−5
,
6.4
,
-
2.4
,
−3
)
T
.
x
and
y
are stored in reverse order.
10.1
Program Text
Program Text (f16ecce.c)
10.2
Program Data
Program Data (f16ecce.d)
10.3
Program Results
Program Results (f16ecce.r)
NAG Library Manual, Mark 27.2
Interfaces:
FL
CL
CPP
AD
NAG CL Interface Introduction
F16 (Blast) Chapter Contents
F16 (Blast) Chapter Introduction
f16ec:
FL
CL
CPP
AD
© The Numerical Algorithms Group Ltd. 2021