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"""This module provides a simple way to compute the interpolation of a
:py:class:`Function <dolfin.functions.function.Function>` or
:py:class:`Expression <dolfin.functions.expression.Expression>` onto a
finite element space."""

# Copyright (C) 2009-2011 Anders Logg
#
# This file is part of DOLFIN.
#
# DOLFIN is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# DOLFIN 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 Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with DOLFIN. If not, see <http://www.gnu.org/licenses/>.
#
# First added:  2009-08-29
# Last changed: 2011-11-15

__all__ = ["interpolate"]

# Local imports
import dolfin.cpp as cpp

from dolfin.functions.functionspace import FunctionSpaceBase
from dolfin.functions.function import Function

def interpolate(v, V):
    """
    Return interpolation of a given function into a given finite element space.

    *Arguments*
        v
            a :py:class:`Function <dolfin.functions.function.Function>` or
            an :py:class:`Expression <dolfin.functions.expression.Expression>`
        V
            a :py:class:`FunctionSpace (standard, mixed, etc.)
            <dolfin.functions.functionspace.FunctionSpaceBase>`

    *Example of usage*

        .. code-block:: python

            v = Expression("sin(pi*x[0])")
            V = FunctionSpace(mesh, "Lagrange", 1)
            Iv = interpolate(v, V)

    """

    # Check arguments
    if not isinstance(V, FunctionSpaceBase):
        cpp.dolfin_error("interpolation.py",
                         "compute interpolation",
                         "Illegal function space for interpolation, not a FunctionSpace (%s)" % str(v))

    # Compute interpolation
    Pv = Function(V)
    Pv.interpolate(v)

    return Pv