# Source code for cvxpy.atoms.sum_smallest

"""

This file is part of CVXPY.

CVXPY is free software: you can redistribute it and/or modify
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.

CVXPY is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with CVXPY.  If not, see <http://www.gnu.org/licenses/>.
"""

from cvxpy.expressions.expression import Expression
from cvxpy.atoms.sum_largest import sum_largest

[docs]def sum_smallest(x, k):
"""Sum of the smallest k values.
"""
x = Expression.cast_to_const(x)
return -sum_largest(-x, k)