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.. Copyright (c) 2016, Johan Mabille, Sylvain Corlay and Wolf Vollprecht
Distributed under the terms of the BSD 3-Clause License.
The full license is in the file LICENSE, distributed with this software.
Reductions
==========
Sum
---
.. code::
xt::xarray<int> a = {{1, 2, 3}, {4, 5, 6}};
xt::xarray<int> r0 = xt::sum(a, {1});
std::cout << r0 << std::endl;
// Outputs {6, 15}
xt::xarray<int> r1 = xt::sum(a);
std::cout << r1 << std::endl;
// Outputs {21}, i.e. r1 is a 0D-tensor
int r2 = xt::sum(a)();
std::cout << r2 << std::endl;
// Outputs 21
auto r3 = xt::sum(a, {1});
std::cout << r3 << std::endl;
// Outputs {6, 15}, but r3 is an unevaluated expression
// the values are computed upon each access
auto r4 = xt::sum<long int>(a, {1});
// r4 holds long int values
auto r5 = xt::sum<short>(a, {1});
// r5 holds int values
auto r6 = xt::sum<xt::big_promote_value_type_t<decltype(a)>>(a, {1});
// r6 holds long long int values
Prod
----
.. code::
xt::xarray<int> a = {{1, 2}, {3, 4}};
xt::xarray<int> r0 = xt::prod(a, {1});
xt::xarray<int> r1 = xt::prod(a);
int r2 = xt::prod(a)();
auto r3 = xt::prod(a, {0});
auro r4 = xt::prod<long int>(a, {0});
auto r5 = xt::prod<xt::big_promote_value_type_t<decltype(a)>>(a, {1});
Mean
----
.. code::
xt::xarray<int> a = {{1, 2, 3}, {4, 5, 6}};
xt::xarray<int> r0 = xt::mean(a, {1});
xt::xarray<int> r1 = xt::mean(a);
int r2 = xt::mean(a)();
auto r3 = xt::mean(a, {0});
Variance
--------
.. code::
xt::xarray<int> a = {{1, 2, 3}, {4, 5, 6}};
xt::xarray<int> r0 = xt::variance(a, {1});
xt::xarray<int> r1 = xt::variance(a);
int r2 = xt::variance(a)();
auto r3 = xt::variance(a, {0});
Standard deviation
------------------
.. code::
xt::xarray<int> a = {{1, 2, 3}, {4, 5, 6}};
xt::xarray<int> r0 = xt::stddev(a, {1});
xt::xarray<int> r1 = xt::stddev(a);
int r2 = xt::stddev(a)();
auto r3 = xt::stddev(a, {0});
Diff
----
.. code::
xt::xarray<int> a = {{1, 2, 3}, {4, 5, 6}};
xt::xarray<int> r0 = xt::diff(a, 1, {0});
std::cout << r0 << std::endl;
// Outputs {{1, 1}, {1, 1}}
Amax
----
.. code::
xt::xarray<int> a = {{1, 2, 3}, {4, 5, 6}};
xt::xarray<int> r0 = xt::amax(a, {1});
std::cout << r0 << std::endl;
// Outputs {3, 6}
Amin
----
.. code::
xt::xarray<int> a = {{1, 2, 3}, {4, 5, 6}};
xt::xarray<int> r0 = xt::amin(a, {0});
std::cout << r0 << std::endl;
// Outputs {1, 2, 3}
Norms
-----
.. code::
xt::xarray<double> a = {{1., 2., 3.}, {4., 5., 6.}};
xt::xarray<double> b0 = xt::norm_l0(a, {1});
xt::xarray<double> b1 = xt::norm_l1(a, {1});
xt::xarray<double> b2 = xt::norm_sq(a, {1});
xt::xarray<double> b3 = xt::norm_l2(a, {1});
xt::xarray<double> b4 = xt::norm_linf(a, {1});
xt::xarray<double> b5 = xt::norm_lp_to_p(a, {1});
xt::xarray<double> b6 = xt::norm_lp(a, {1});
xt::xarray<double> b7 = xt::norm_induced_l1(a, {1});
xt::xarray<double> b8 = xt::norm_induced_linf(a, {1});
Accumulating functions
----------------------
.. code::
xt::xarray<double> a = {{1., 2., 3.}, {4., 5., 6.}};
xt::xarray<double> b0 = xt::cumsum(a, {1});
std::cout << b0 << std::endl;
// Outputs {{1., 3., 6.}, {4., 9., 15.}}
xt::xarray<double> b1 = xt::cumprod(a, {1});
std::cout << b1 << std::endl;
// Outputs {{1., 2., 6.}, {4., 20., 120.}}
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