如何解决scipy版本能否更改scipy.interpolate.griddata结果?
我的问题始于 scipy 1.2.3 及其功能scipy.interpolate.griddata,该函数执行插值并为我提供参考数据集。 (我对三次二维插值感兴趣,请参见下面的测试用例)
将scipy更新为 scipy 1.5.2 后,我无法生成与以前完全相同的结果...而且差异不可忽略。
通过测试可在anaconda发行版中使用的scipy的早期版本,如果安装 scipy 1.3.2 ,则可以精确地生成初始插值结果。
所以我认为griddata或其子组件之一是在 scipy 1.3.2 之后更新的。
但是我在Scipy发行说明中找不到任何解释:Scipy.org Release Notes ...关于stackoverflow的更多信息。
有人遇到过这个问题:更新scipy改变了scipy.interpolate.griddata给出的结果吗?
要进行测试,我从how-can-i-perform-two-dimensional-interpolation-using-scipy借了一些代码(非常感谢)
from scipy.interpolate import griddata
import numpy as np
# scipy 1.2.3 or (scipy 1.3.2) reference dataset
z_griddata_scipy_1_2_3 = np.array([[1.22464680e-16,2.99260075e-02,4.64921877e-02,3.63387200e-02,-1.17334278e-02,-4.10790167e-02,-3.53276896e-02,-1.32599029e-02,6.57516828e-03,1.46193750e-02,1.29942167e-02,4.60176170e-03,-1.02398072e-02,-3.13455739e-02,-3.89274672e-02,-1.15549286e-02,3.59960447e-02,4.60537630e-02,2.96438015e-02,1.22464680e-16],[3.06593878e-01,2.94590471e-01,2.55311166e-01,1.72704804e-01,6.75755257e-02,-8.71796149e-02,-1.69793095e-01,-2.16754270e-01,-2.45929090e-01,-2.64204208e-01,-2.83893302e-01,-2.86038057e-01,-2.52505900e-01,-1.93389278e-01,-9.70877464e-02,6.22252315e-02,1.64062151e-01,2.49498113e-01,2.91797267e-01,3.07425460e-01]])
# auxiliary function for mesh generation
def gimme_mesh(n):
minval = -1
maxval = 1
# produce an asymmetric shape in order to catch issues with transpositions
return np.meshgrid(np.linspace(minval,maxval,n),np.linspace(minval,n+1))
# set up underlying test functions,vectorized
def fun_smooth(x,y):
return np.cos(np.pi * x)*np.sin(np.pi * y)
def test_griddata_cubic():
# sparse input mesh,6x7 in shape
N_sparse = 6
x_sparse,y_sparse = gimme_mesh(N_sparse)
z_sparse_smooth = fun_smooth(x_sparse,y_sparse)
# dense output mesh,20x21 in shape
N_dense = 20
x_dense,y_dense = gimme_mesh(N_dense)
z_griddata_scipy_test = griddata(np.array([x_sparse.ravel(),y_sparse.ravel()]).T,z_sparse_smooth.ravel(),(x_dense,y_dense),method='cubic')
try:
np.testing.assert_almost_equal(z_griddata_scipy_1_2_3,z_griddata_scipy_test[:2],decimal=5)
except AssertionError as err:
print (err)
if __name__ == '__main__':
"""
"""
test_griddata_cubic()
我的计算机上Windows 7,Python 3.7,scipy 1.5.2的测试结果:
Arrays are not almost equal to 5 decimals
Mismatched elements: 38 / 40 (95%)
Max absolute difference: 0.03821737
Max relative difference: 0.67726368
x: array([[ 1.22465e-16,2.99260e-02,4.64922e-02,3.63387e-02,-1.17334e-02,-4.10790e-02,-3.53277e-02,-1.32599e-02,6.57517e-03,1.46194e-02,1.29942e-02,4.60176e-03,...
y: array([[ 1.22465e-16,2.97398e-02,4.62030e-02,3.61127e-02,-1.15711e-02,-3.85005e-02,-3.03032e-02,-9.36536e-03,3.92018e-03,1.17290e-02,1.37729e-02,6.40206e-03,...
我发现差异不是可以忽略的!
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