<reponame>vishalbelsare/interpolation.py
from __future__ import division

from numpy import *
from interpolation.cartesian import mlinspace

d = 2  # number of dimension
Ng = 1000  # number of points on the grid
K = int(Ng ** (1 / d))  # nb of points in each dimension
N = 10000  # nb of points to evaluate
a = array([0.0] * d, dtype=float)
b = array([1.0] * d, dtype=float)
orders = array([K] * d, dtype=int)

grid = mlinspace(a, b, orders)

# single valued function to interpolate
f = lambda vec: sqrt(vec.sum(axis=1))
# df

# # vector valued function
# g


# single valued function to interpolate
vals = f(grid)

print(vals)
mvals = concatenate([vals[:, None], vals[:, None]], axis=1)

print(mvals.shape)
# cubic
# multilinear
# one point
# multiple points
# gradient


# one single point
point = array([0.5, 0.5])

# many points
points = row_stack([[0.5, 0.5]] * N)


def ttest_object_api(Obj):

    cs = Obj(a, b, orders, vals)
    ii = cs(point)
    iii = cs(points)
    assert ii.ndim == 0
    assert isscalar(ii)
    assert iii.ndim == 1
    assert tuple(iii.shape) == (N,)


def ttest_object_vector_api(Obj):

    cs = Obj(a, b, orders, mvals)

    ii = cs(point)
    iii = cs(points)
    try:
        print(cs.mvalues)
    except:
        pass
    n_splines = mvals.shape[1]
    assert ii.ndim == 1
    print("ii")
    print(ii)
    print(n_splines)
    assert tuple(ii.shape) == (n_splines,)
    assert iii.ndim == 2
    assert tuple(iii.shape) == (N, n_splines)


def ttest_object_vector_diff_api(Obj):

    cs = Obj(a, b, orders, mvals)

    # ii = cs(point, diff=True)
    iii, d_iii = cs.interpolate(points, diff=True)

    n_splines = mvals.shape[1]
    assert iii.ndim == 2
    assert tuple(iii.shape) == (N, n_splines)
    assert tuple(d_iii.shape) == (N, d, n_splines)


def test_objects():

    from interpolation.splines import CubicSpline

    ttest_object_api(CubicSpline)
    from interpolation.splines import CubicSplines

    ttest_object_vector_api(CubicSplines)
    ttest_object_vector_diff_api(CubicSplines)

    from interpolation.splines.multilinear import LinearSpline

    ttest_object_api(LinearSpline)
    from interpolation.splines.multilinear import LinearSplines

    ttest_object_vector_api(LinearSplines)


if __name__ == "__main__":

    test_objects()

from __future__ import division

from numpy import *
from interpolation.cartesian import mlinspace

d = 2  # number of dimension
Ng = 1000  # number of points on the grid
K = int(Ng ** (1 / d))  # nb of points in each dimension
N = 10000  # nb of points to evaluate
a = array([0.0] * d, dtype=float)
b = array([1.0] * d, dtype=float)
orders = array([K] * d, dtype=int)

grid = mlinspace(a, b, orders)

# single valued function to interpolate
f = lambda vec: sqrt(vec.sum(axis=1))
# df

# # vector valued function
# g


# single valued function to interpolate
vals = f(grid)

print(vals)
mvals = concatenate([vals[:, None], vals[:, None]], axis=1)

print(mvals.shape)
# cubic
# multilinear
# one point
# multiple points
# gradient


# one single point
point = array([0.5, 0.5])

# many points
points = row_stack([[0.5, 0.5]] * N)


def ttest_object_api(Obj):

    cs = Obj(a, b, orders, vals)
    ii = cs(point)
    iii = cs(points)
    assert ii.ndim == 0
    assert isscalar(ii)
    assert iii.ndim == 1
    assert tuple(iii.shape) == (N,)


def ttest_object_vector_api(Obj):

    cs = Obj(a, b, orders, mvals)

    ii = cs(point)
    iii = cs(points)
    try:
        print(cs.mvalues)
    except:
        pass
    n_splines = mvals.shape[1]
    assert ii.ndim == 1
    print("ii")
    print(ii)
    print(n_splines)
    assert tuple(ii.shape) == (n_splines,)
    assert iii.ndim == 2
    assert tuple(iii.shape) == (N, n_splines)


def ttest_object_vector_diff_api(Obj):

    cs = Obj(a, b, orders, mvals)

    # ii = cs(point, diff=True)
    iii, d_iii = cs.interpolate(points, diff=True)

    n_splines = mvals.shape[1]
    assert iii.ndim == 2
    assert tuple(iii.shape) == (N, n_splines)
    assert tuple(d_iii.shape) == (N, d, n_splines)


def test_objects():

    from interpolation.splines import CubicSpline

    ttest_object_api(CubicSpline)
    from interpolation.splines import CubicSplines

    ttest_object_vector_api(CubicSplines)
    ttest_object_vector_diff_api(CubicSplines)

    from interpolation.splines.multilinear import LinearSpline

    ttest_object_api(LinearSpline)
    from interpolation.splines.multilinear import LinearSplines

    ttest_object_vector_api(LinearSplines)


if __name__ == "__main__":

    test_objects()
# number of dimension # number of points on the grid # nb of points in each dimension # nb of points to evaluate # single valued function to interpolate # df # # vector valued function # g # single valued function to interpolate # cubic # multilinear # one point # multiple points # gradient # one single point # many points # ii = cs(point, diff=True)