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/*
******************************************************
* Copyright (c) 2025, ArrayFire
* All rights reserved.
*
* This file is distributed under 3-clause BSD license.
* The complete license agreement can be obtained at:
* http://arrayfire.com/licenses/BSD-3-Clause
*******************************************************
*/
#
include
<
arrayfire.h
>
#
include
<
gtest/gtest.h
>
#
include
<
testHelpers.hpp
>
#
include
<
sstream
>
using
af::array;
using
af::constant;
using
af::dim4;
using
std::
complex
;
using
std::stringstream;
using
std::vector;
std::ostream &
operator
<<(std::ostream &os, af::normType nt) {
switch
(nt) {
case
AF_NORM_VECTOR_1
: os <<
"
AF_NORM_VECTOR_1
"
;
break
;
case
AF_NORM_VECTOR_INF
: os <<
"
AF_NORM_VECTOR_INF
"
;
break
;
case
AF_NORM_VECTOR_2
: os <<
"
AF_NORM_VECTOR_2
"
;
break
;
case
AF_NORM_VECTOR_P
: os <<
"
AF_NORM_VECTOR_P
"
;
break
;
case
AF_NORM_MATRIX_1
: os <<
"
AF_NORM_MATRIX_1
"
;
break
;
case
AF_NORM_MATRIX_INF
: os <<
"
AF_NORM_MATRIX_INF
"
;
break
;
case
AF_NORM_MATRIX_2
: os <<
"
AF_NORM_MATRIX_2
"
;
break
;
case
AF_NORM_MATRIX_L_PQ
: os <<
"
AF_NORM_MATRIX_L_PQ
"
;
break
;
}
return
os;
}
template
<
typename
T>
double
cpu_norm1_impl
(af::dim4 &dims, std::vector<T> &value) {
int
M = dims[
0
];
int
N = dims[
1
];
double
norm1 = std::numeric_limits<
double
>::
lowest
();
for
(
int
n =
0
; n < N; n++) {
T *columnN = value.
data
() + n * M;
double
sum =
0
;
for
(
int
m =
0
; m < M; m++) { sum +=
abs
(columnN[m]); }
norm1 =
std::max
(norm1, sum);
}
return
norm1;
}
template
<
typename
T>
double
cpu_norm_pq_impl
(af::dim4 &dims, std::vector<T> &value,
double
p,
double
q) {
int
N = dims[
0
];
int
M = dims[
1
];
double
norm =
0
;
for
(
int
n =
0
; n < N; n++) {
T *columnN = value.
data
() + n * M;
double
sum =
0
;
for
(
int
m =
0
; m < M; m++) { sum +=
std::pow
(
std::abs
(columnN[m]), p); }
norm +=
std::pow
(sum, q / p);
}
norm =
std::pow
(norm,
1.0
/ q);
return
norm;
}
double
cpu_norm1
(af::array &value) {
double
norm1;
af::dim4 dims = value.
dims
();
if
(value.
type
() ==
f16
) {
vector<half_float::half>
values
(value.
elements
());
value.
host
(values.
data
());
norm1 = cpu_norm1_impl<half_float::half>(dims, values);
}
else
if
(value.
type
() == c32 || value.
type
() == c64) {
vector<
complex
<
double
> >
values
(value.
elements
());
value.
as
(c64).
host
(values.
data
());
norm1 = cpu_norm1_impl<
complex
<
double
> >(dims, values);
}
else
{
vector<
double
>
values
(value.
elements
());
value.
as
(
f64
).
host
(values.
data
());
norm1 = cpu_norm1_impl<
double
>(dims, values);
}
return
norm1;
}
double
cpu_norm_pq
(af::array &value,
double
p,
double
q) {
double
norm2;
af::dim4 dims = value.
dims
();
if
(value.
type
() ==
f16
) {
vector<half_float::half>
values
(value.
elements
());
value.
host
(values.
data
());
norm2 = cpu_norm_pq_impl<half_float::half>(dims, values, p, q);
}
else
if
(value.
type
() == c32 || value.
type
() == c64) {
vector<
complex
<
double
> >
values
(value.
elements
());
value.
as
(c64).
host
(values.
data
());
norm2 = cpu_norm_pq_impl<
complex
<
double
> >(dims, values, p, q);
}
else
{
vector<
double
>
values
(value.
elements
());
value.
as
(
f64
).
host
(values.
data
());
norm2 = cpu_norm_pq_impl<
double
>(dims, values, p, q);
}
return
norm2;
}
template
<
typename
T>
double
cpu_norm_inf_impl
(af::dim4 &dims, std::vector<T> &value) {
int
M = dims[
0
];
int
N = dims[
1
];
double
norm_inf = std::numeric_limits<
double
>::
lowest
();
for
(
int
m =
0
; m < M; m++) {
T *rowM = value.
data
() + m;
double
sum =
0
;
for
(
int
n =
0
; n < N; n++) { sum +=
abs
(rowM[n * M]); }
norm_inf =
std::max
(norm_inf, sum);
}
return
norm_inf;
}
double
cpu_norm_inf
(af::array &value) {
double
norm_inf;
af::dim4 dims = value.
dims
();
if
(value.
type
() == c32 || value.
type
() == c64) {
vector<
complex
<
double
> >
values
(value.
elements
());
value.
as
(c64).
host
(values.
data
());
norm_inf = cpu_norm_inf_impl<
complex
<
double
> >(dims, values);
}
else
{
vector<
double
>
values
(value.
elements
());
value.
as
(
f64
).
host
(values.
data
());
norm_inf = cpu_norm_inf_impl<
double
>(dims, values);
}
return
norm_inf;
}
using
norm_params = std::tuple<af::dim4, af::dtype>;
class
Norm
: public ::testing::TestWithParam<std::tuple<af::dim4, af::dtype> > {};
INSTANTIATE_TEST_CASE_P
(
Norm, Norm,
::testing::Combine
(::testing::Values(dim4(
3
,
3
), dim4(
32
,
32
), dim4(
33
,
33
),
dim4(
64
,
64
), dim4(
128
,
128
),
dim4(
129
,
129
), dim4(
256
,
256
),
dim4(
257
,
257
)),
::testing::Values(
f32
,
f64
, c32, c64,
f16
)),
[](
const
::testing::TestParamInfo<Norm::ParamType> info) {
stringstream ss;
using
std::get;
ss <<
"
dims_
"
<< get<
0
>(info.
param
)[
0
] <<
"
_
"
<< get<
0
>(info.
param
)[
1
]
<<
"
_dtype_
"
<< get<
1
>(info.
param
);
return
ss.
str
();
});
TEST_P
(Norm, Identity_AF_NORM_MATRIX_1) {
using
std::get;
norm_params param =
GetParam
();
if
(get<
1
>(param) ==
f16
)
SUPPORTED_TYPE_CHECK
(half_float::half);
if
(get<
1
>(param) ==
f64
)
SUPPORTED_TYPE_CHECK
(
double
);
array identity =
af::identity
(get<
0
>(param), get<
1
>(param));
double
result =
norm
(identity,
AF_NORM_MATRIX_1
);
double
norm1 =
cpu_norm1
(identity);
ASSERT_DOUBLE_EQ
(norm1, result);
}
TEST_P
(Norm, Random_AF_NORM_MATRIX_1) {
using
std::get;
norm_params param =
GetParam
();
if
(get<
1
>(param) ==
f16
)
SUPPORTED_TYPE_CHECK
(half_float::half);
if
(get<
1
>(param) ==
f64
)
SUPPORTED_TYPE_CHECK
(
double
);
array in =
af::randu
(get<
0
>(param), get<
1
>(param)) -
0
.
5f
;
double
result =
norm
(in,
AF_NORM_MATRIX_1
);
double
norm1 =
cpu_norm1
(in);
ASSERT_NEAR
(norm1, result,
2e-4
);
}
TEST_P
(Norm, Random_AF_NORM_VECTOR_1) {
using
std::get;
norm_params param =
GetParam
();
if
(get<
1
>(param) ==
f16
)
SUPPORTED_TYPE_CHECK
(half_float::half);
if
(get<
1
>(param) ==
f64
)
SUPPORTED_TYPE_CHECK
(
double
);
af::dim4 dims = get<
0
>(param);
dims[
1
] =
1
;
//
Test a vector
array in =
af::randu
(dims, get<
1
>(param)) -
0
.
5f
;
double
result =
norm
(in,
AF_NORM_VECTOR_1
);
double
norm1 =
cpu_norm_pq
(in,
1
,
1
);
ASSERT_NEAR
(norm1, result,
2e-4
);
}
TEST_P
(Norm, Random_AF_NORM_VECTOR_INF) {
using
std::get;
norm_params param =
GetParam
();
if
(get<
1
>(param) ==
f16
)
SUPPORTED_TYPE_CHECK
(half_float::half);
if
(get<
1
>(param) ==
f64
)
SUPPORTED_TYPE_CHECK
(
double
);
af::dim4 dims = get<
0
>(param);
dims[
1
] =
1
;
//
Test a vector
array in =
af::randu
(dims, get<
1
>(param)) -
0
.
5f
;
double
result =
norm
(in,
AF_NORM_VECTOR_INF
);
double
norm_inf =
cpu_norm_inf
(in);
ASSERT_NEAR
(norm_inf, result,
2e-4
);
}
TEST_P
(Norm, Random_AF_NORM_VECTOR_2) {
using
std::get;
norm_params param =
GetParam
();
if
(get<
1
>(param) ==
f16
)
SUPPORTED_TYPE_CHECK
(half_float::half);
if
(get<
1
>(param) ==
f64
)
SUPPORTED_TYPE_CHECK
(
double
);
af::dim4 dims = get<
0
>(param);
dims[
1
] =
1
;
//
Test a vector
array in =
af::randu
(dims, get<
1
>(param)) -
0
.
5f
;
double
result =
norm
(in,
AF_NORM_VECTOR_2
);
double
norm2 =
cpu_norm_pq
(in,
1
,
2
);
//
vectors lie in first dims so swap p and q
ASSERT_NEAR
(norm2, result,
3e-4
);
}
TEST_P
(Norm, Random_AF_NORM_VECTOR_P_P_EQUAL_3_POINT_5) {
using
std::get;
norm_params param =
GetParam
();
if
(get<
1
>(param) ==
f16
)
SUPPORTED_TYPE_CHECK
(half_float::half);
if
(get<
1
>(param) ==
f64
)
SUPPORTED_TYPE_CHECK
(
double
);
af::dim4 dims = get<
0
>(param);
dims[
1
] =
1
;
//
Test a vector
array in =
af::randu
(dims, get<
1
>(param)) -
0
.
5f
;
double
result =
norm
(in,
AF_NORM_VECTOR_P
,
3.5
);
double
normp =
cpu_norm_pq
(in,
1
,
3.5
);
//
vectors lie in first dims so swap p and q
ASSERT_NEAR
(normp, result,
3e-4
);
}
TEST_P
(Norm, Identity_AF_NORM_MATRIX_2_NOT_SUPPORTED) {
using
std::get;
norm_params param =
GetParam
();
if
(get<
1
>(param) ==
f16
)
SUPPORTED_TYPE_CHECK
(half_float::half);
if
(get<
1
>(param) ==
f64
)
SUPPORTED_TYPE_CHECK
(
double
);
try
{
double
result =
norm
(
af::identity
(get<
0
>(param), get<
1
>(param)),
AF_NORM_MATRIX_2
);
FAIL
();
}
catch
(af::exception &ex) {
ASSERT_EQ
(
AF_ERR_NOT_SUPPORTED
, ex.
err
());
return
;
}
FAIL
();
}
TEST_P
(Norm, Identity_AF_NORM_MATRIX_INF) {
using
std::get;
norm_params param =
GetParam
();
if
(get<
1
>(param) ==
f16
)
SUPPORTED_TYPE_CHECK
(half_float::half);
if
(get<
1
>(param) ==
f64
)
SUPPORTED_TYPE_CHECK
(
double
);
array in =
af::identity
(get<
0
>(param), get<
1
>(param));
double
result =
norm
(in,
AF_NORM_MATRIX_INF
);
double
norm_inf =
cpu_norm_inf
(in);
ASSERT_DOUBLE_EQ
(norm_inf, result);
}
TEST_P
(Norm, Random_AF_NORM_MATRIX_INF) {
using
std::get;
norm_params param =
GetParam
();
if
(get<
1
>(param) ==
f16
)
SUPPORTED_TYPE_CHECK
(half_float::half);
if
(get<
1
>(param) ==
f64
)
SUPPORTED_TYPE_CHECK
(
double
);
array in =
af::randu
(get<
0
>(param), get<
1
>(param));
double
result =
norm
(in,
AF_NORM_MATRIX_INF
);
double
norm_inf =
cpu_norm_inf
(in);
ASSERT_NEAR
(norm_inf, result,
2e-4
);
}
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