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xtensor/test/test_xnorm.cpp at master · xtensor-stack/xtensor · GitHub
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/*
**************************************************************************
* Copyright (c) Johan Mabille, Sylvain Corlay and Wolf Vollprecht *
* Copyright (c) QuantStack *
* *
* Distributed under the terms of the BSD 3-Clause License. *
* *
* The full license is in the file LICENSE, distributed with this software. *
***************************************************************************
*/
#
include
<
limits
>
#
include
"
xtensor/containers/xarray.hpp
"
#
include
"
xtensor/core/xnoalias.hpp
"
#
include
"
xtensor/generators/xbuilder.hpp
"
#
include
"
xtensor/reducers/xnorm.hpp
"
#
include
"
xtensor/views/xview.hpp
"
#
include
"
test_common_macros.hpp
"
namespace
xt
{
TEST
(xnorm, norm_traits)
{
EXPECT_TRUE
((std::is_same<
norm_type_t
<
uint8_t
>,
int
>::value));
EXPECT_TRUE
((std::is_same<
norm_type_t
<
int
>,
int
>::value));
EXPECT_TRUE
((std::is_same<
norm_type_t
<
double
>,
double
>::value));
EXPECT_TRUE
((std::is_same<
norm_type_t
<std::vector<
uint8_t
>>,
double
>::value));
EXPECT_TRUE
((std::is_same<
norm_type_t
<std::vector<
int
>>,
double
>::value));
EXPECT_TRUE
((std::is_same<
norm_type_t
<std::vector<
double
>>,
double
>::value));
EXPECT_TRUE
((std::is_same<
norm_type_t
<std::vector<
long
double
>>,
long
double
>::value));
EXPECT_TRUE
((std::is_same<
squared_norm_type_t
<
uint8_t
>,
int
>::value));
EXPECT_TRUE
((std::is_same<
squared_norm_type_t
<
int
>,
int
>::value));
EXPECT_TRUE
((std::is_same<
squared_norm_type_t
<
double
>,
double
>::value));
EXPECT_TRUE
((std::is_same<
squared_norm_type_t
<std::vector<
uint8_t
>>,
uint64_t
>::value));
EXPECT_TRUE
((std::is_same<
squared_norm_type_t
<std::vector<
int
>>,
uint64_t
>::value));
EXPECT_TRUE
((std::is_same<
squared_norm_type_t
<std::vector<
double
>>,
double
>::value));
EXPECT_TRUE
((std::is_same<
squared_norm_type_t
<std::vector<
long
double
>>,
long
double
>::value));
}
TEST
(xnorm, scalar)
{
EXPECT_EQ
(
norm_l0
(
2
),
1u
);
EXPECT_EQ
(
norm_l0
(-
2
),
1u
);
EXPECT_EQ
(
norm_l0
(
0
),
0u
);
EXPECT_EQ
(
norm_l0
(
2.0
),
1u
);
EXPECT_EQ
(
norm_l0
(-
2.0
),
1u
);
EXPECT_EQ
(
norm_l0
(
0.0
),
0u
);
EXPECT_EQ
(
norm_l1
(
2
),
2
);
EXPECT_EQ
(
norm_l1
(-
2
),
2
);
EXPECT_EQ
(
norm_l1
(
2.0
),
2.0
);
EXPECT_EQ
(
norm_l1
(-
2.0
),
2.0
);
EXPECT_EQ
(
norm_l2
(
2
),
2
);
EXPECT_EQ
(
norm_l2
(-
2
),
2
);
EXPECT_EQ
(
norm_l2
(
2.0
),
2.0
);
EXPECT_EQ
(
norm_l2
(-
2.0
),
2.0
);
EXPECT_EQ
(
norm_linf
(
2
),
2
);
EXPECT_EQ
(
norm_linf
(-
2
),
2
);
EXPECT_EQ
(
norm_linf
(
2.0
),
2.0
);
EXPECT_EQ
(
norm_linf
(-
2.0
),
2.0
);
EXPECT_EQ
(
norm_sq
(
2
),
4
);
EXPECT_EQ
(
norm_sq
(-
2
),
4
);
EXPECT_EQ
(
norm_sq
(
2.5
),
6.25
);
EXPECT_EQ
(
norm_sq
(-
2.5
),
6.25
);
EXPECT_EQ
(
norm_lp
(
0
,
0
),
0
);
EXPECT_EQ
(
norm_lp
(-
2
,
0
),
1
);
EXPECT_EQ
(
norm_lp
(
0
,
1
),
0
);
EXPECT_EQ
(
norm_lp
(-
2
,
1
),
2
);
}
TEST
(xnorm,
complex
)
{
std::
complex
<
double
> c{
3.0
, -
4.0
};
EXPECT_EQ
(
norm_l0
(c),
1u
);
EXPECT_EQ
(
norm_lp
(c,
0
),
1.0
);
EXPECT_EQ
(
norm_l1
(c),
7.0
);
EXPECT_EQ
(
norm_lp
(c,
1
),
7.0
);
EXPECT_EQ
(
norm_sq
(c),
25.0
);
EXPECT_EQ
(
norm_lp_to_p
(c,
2
),
25.0
);
EXPECT_EQ
(
norm_sq
(c),
std::norm
(c));
EXPECT_EQ
(
norm_l2
(c),
5.0
);
EXPECT_EQ
(
norm_lp
(c,
2
),
5.0
);
EXPECT_EQ
(
norm_l2
(c),
std::abs
(c));
EXPECT_EQ
(
norm_linf
(c),
4.0
);
}
TEST
(xnorm, scalar_array)
{
xarray<
int
> a = -ones<
int
>({
9
});
EXPECT_EQ
(
norm_l0
(a)(),
9u
);
EXPECT_EQ
(
norm_lp_to_p
(a,
0.0
)(),
9.0
);
EXPECT_EQ
(
norm_l1
(a)(),
9
);
EXPECT_EQ
(
norm_lp
(a,
1.0
)(),
9.0
);
EXPECT_EQ
(
norm_sq
(a)(),
9
);
EXPECT_EQ
(
norm_l2
(a)(),
3.0
);
EXPECT_EQ
(
norm_lp
(a,
2.0
)(),
3.0
);
EXPECT_EQ
(
norm_linf
(a)(),
1
);
EXPECT_EQ
(
norm_l0
(a, evaluation_strategy::immediate)(),
9u
);
EXPECT_EQ
(
norm_lp_to_p
(a,
0.0
, evaluation_strategy::immediate)(),
9.0
);
EXPECT_EQ
(
norm_l1
(a, evaluation_strategy::immediate)(),
9
);
EXPECT_EQ
(
norm_lp
(a,
1.0
, evaluation_strategy::immediate)(),
9.0
);
EXPECT_EQ
(
norm_sq
(a, evaluation_strategy::immediate)(),
9
);
EXPECT_EQ
(
norm_l2
(a, evaluation_strategy::immediate)(),
3.0
);
EXPECT_EQ
(
norm_lp
(a,
2.0
, evaluation_strategy::immediate)(),
3.0
);
EXPECT_EQ
(
norm_linf
(a, evaluation_strategy::immediate)(),
1
);
}
TEST
(xnorm, complex_array)
{
xarray<std::
complex
<
double
>> a = -ones<std::
complex
<
double
>>({
9
});
auto
l0_res =
norm_l0
(a)();
auto
lp_to_p_res =
norm_lp_to_p
(a,
0.0
)();
auto
l1_res =
norm_l1
(a)();
auto
lp_res1 =
norm_lp
(a,
1.0
)();
auto
sq_res =
norm_sq
(a)();
auto
l2_res =
norm_l2
(a)();
auto
lp_res2 =
norm_lp
(a,
2.0
)();
auto
linf_res =
norm_linf
(a)();
EXPECT_TRUE
((std::is_same<
decltype
(l0_res),
long
long
unsigned
int
>::value));
EXPECT_TRUE
((std::is_same<
decltype
(lp_to_p_res),
double
>::value));
EXPECT_TRUE
((std::is_same<
decltype
(l1_res),
double
>::value));
EXPECT_TRUE
((std::is_same<
decltype
(lp_res1),
double
>::value));
EXPECT_TRUE
((std::is_same<
decltype
(sq_res),
double
>::value));
EXPECT_TRUE
((std::is_same<
decltype
(l2_res),
double
>::value));
EXPECT_TRUE
((std::is_same<
decltype
(lp_res2),
double
>::value));
EXPECT_TRUE
((std::is_same<
decltype
(linf_res),
double
>::value));
EXPECT_EQ
(l0_res,
9u
);
EXPECT_EQ
(lp_to_p_res,
9.0
);
EXPECT_EQ
(l1_res,
9.0
);
EXPECT_EQ
(lp_res1,
9.0
);
EXPECT_EQ
(sq_res,
9.0
);
EXPECT_EQ
(l2_res,
3.0
);
EXPECT_EQ
(lp_res2,
3.0
);
EXPECT_EQ
(linf_res,
1.0
);
EXPECT_EQ
(
norm_l0
(a, {
0
}, evaluation_strategy::immediate)(),
9u
);
EXPECT_EQ
(
norm_lp_to_p
(a,
0.0
, {
0
}, evaluation_strategy::immediate)(),
9.0
);
EXPECT_EQ
(
norm_l1
(a, {
0
}, evaluation_strategy::immediate)(),
9.0
);
EXPECT_EQ
(
norm_lp
(a,
1.0
, {
0
}, evaluation_strategy::immediate)(),
9.0
);
EXPECT_EQ
(
norm_sq
(a, {
0
}, evaluation_strategy::immediate)(),
9.0
);
EXPECT_EQ
(
norm_l2
(a, {
0
}, evaluation_strategy::immediate)(),
3.0
);
EXPECT_EQ
(
norm_lp
(a,
2.0
, {
0
}, evaluation_strategy::immediate)(),
3.0
);
EXPECT_EQ
(
norm_linf
(a, {
0
}, evaluation_strategy::immediate)(),
1.0
);
EXPECT_EQ
(
norm_l0
(a, {
0
}, evaluation_strategy::immediate)(),
9u
);
EXPECT_EQ
(
norm_lp_to_p
(a,
0.0
, evaluation_strategy::immediate)(),
9.0
);
EXPECT_EQ
(
norm_l1
(a, evaluation_strategy::immediate)(),
9.0
);
EXPECT_EQ
(
norm_lp
(a,
1.0
, evaluation_strategy::immediate)(),
9.0
);
EXPECT_EQ
(
norm_sq
(a, evaluation_strategy::immediate)(),
9.0
);
EXPECT_EQ
(
norm_l2
(a, evaluation_strategy::immediate)(),
3.0
);
EXPECT_EQ
(
norm_lp
(a,
2.0
, evaluation_strategy::immediate)(),
3.0
);
EXPECT_EQ
(
norm_linf
(a, evaluation_strategy::immediate)(),
1.0
);
}
TEST
(xnorm, matrix)
{
xarray<
double
> a = {{-
1.0
,
2.0
}, {-
3.0
,
4.0
}};
EXPECT_EQ
(
norm_l0
(a)(),
4u
);
EXPECT_EQ
(
norm_l1
(a)(),
10.0
);
EXPECT_EQ
(
norm_sq
(a)(),
30.0
);
EXPECT_EQ
(
norm_linf
(a)(),
4.0
);
EXPECT_EQ
(
norm_induced_l1
(a)(),
6.0
);
EXPECT_EQ
(
norm_induced_linf
(a)(),
7.0
);
EXPECT_EQ
(
norm_l0
(a, evaluation_strategy::immediate)(),
4u
);
EXPECT_EQ
(
norm_l1
(a, evaluation_strategy::immediate)(),
10.0
);
EXPECT_EQ
(
norm_sq
(a, evaluation_strategy::immediate)(),
30.0
);
EXPECT_EQ
(
norm_linf
(a, evaluation_strategy::immediate)(),
4.0
);
EXPECT_EQ
(
norm_induced_l1
(a, evaluation_strategy::immediate)(),
6.0
);
EXPECT_EQ
(
norm_induced_linf
(a, evaluation_strategy::immediate)(),
7.0
);
}
}
//
namespace xt
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