geocat.f2py.linint2_wrapper¶
Module Contents¶
Functions¶
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Interpolates from one series to another using piecewise linear |
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Interpolates a regular grid to a rectilinear one using bi-linear |
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Interpolates from a rectilinear grid to an unstructured grid or |
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Attributes¶
- geocat.f2py.linint2_wrapper.supported_types¶
- geocat.f2py.linint2_wrapper._linint1(xi, fi, xo, icycx, msg_py, shape)¶
- geocat.f2py.linint2_wrapper._linint2(xi, yi, fi, xo, yo, icycx, msg_py, shape)¶
- geocat.f2py.linint2_wrapper._linint2pts(xi, yi, fi, xo, yo, icycx, msg_py, shape)¶
- geocat.f2py.linint2_wrapper.linint1(fi: supported_types, xo: supported_types, xi: supported_types = None, icycx: numpy.number = 0, msg_py: numpy.number = None) supported_types¶
Interpolates from one series to another using piecewise linear interpolation across the rightmost dimension. The series may be cyclic in the X direction.
If missing values are present, then linint1 will perform the piecewise linear interpolation at all points possible, but will return missing values at coordinates which could not be used.
If any of the output coordinates
xoare outside those of the input coordinatesxi, thefovalues at those coordinates will be set to missing (i.e. no extrapolation is performed).- Parameters
fi (
xarray.DataArray,numpy.ndarray) –An array of one or more dimensions. If
xiis passed in as an argument, then the size of the rightmost dimension offimust match the rightmost dimension ofxi.If missing values are present, then
linint1will perform the piecewise linear interpolation at all points possible, but will return missing values at coordinates which could not be used.Note: This variable must be supplied as a
xarray.DataArrayin order to copy the dimension names to the output. Otherwise, default names will be used.xo (
xarray.DataArray,numpy.ndarray) –A one-dimensional array that specifies the X coordinates of the return array. It must be strictly monotonically increasing or decreasing, but may be unequally spaced.
If the output coordinates
xoare outside those of the input coordinatesxi, then the fo values at those coordinates will be set to missing (i.e. no extrapolation is performed).xi (
xarray.DataArray,numpy.ndarray) –An array that specifies the X coordinates of the
fiarray. Most frequently, this array is one-dimensional. It must be strictly monotonically increasing or decreasing, but can be unequally spaced. Ifxiis multi-dimensional, then itsimensions must be the same asfi’s dimensions. If it is one-dimensional, its length must be the same as the rightmost (fastest varying) dimension offi.Note: If
fiis of typexarray.DataArrayandxiis left unspecified, then the rightmost coordinate dimension offiwill be used. Iffiis not of typexarray.DataArray, thenxibecomes a mandatory parameter. This parameter must be specified as a keyword argument.icycx (
bool) – An option to indicate whether the rightmost dimension offiis cyclic. This should be set to True only if you have global data, but your longitude values don’t quite wrap all the way around the globe. For example, if your longitude values go from, say, -179.75 to 179.75, or 0.5 to 359.5, then you would set this to True.msg_py (
numpy.number) – A numpy scalar value that represent a missing value infi. This argument allows a user to use a missing value scheme other than NaN or masked arrays, similar to what NCL allows.
- Returns
fo – The interpolated series. The returned value will have the same dimensions as
fi, except for the rightmost dimension which will have the same dimension size as the length of xo. The return type will be double iffiis double, and float otherwise.- Return type
Examples
Example 1: Using
linint1withxarray.DataArrayinputimport numpy as np import xarray as xr import geocat.comp fi_np = np.random.rand(80) # random 80-element array # xi does not have to be equally spaced, but it is # in this example xi = np.arange(80) # create target coordinate array, in this case use the same # min/max values as xi, but with different spacing xo = np.linspace(xi.min(), xi.max(), 100) # create :class:`xarray.DataArray` and chunk it using the # full shape of the original array. # note that xi is attached as a coordinate array fi = xr.DataArray(fi_np, dims=['x'], coords={'x': xi} ).chunk(fi_np.shape) fo = geocat.comp.linint1(fi, xo, icycx=0)
- geocat.f2py.linint2_wrapper.linint2(fi: supported_types, xo: supported_types, yo: supported_types, xi: supported_types = None, yi: supported_types = None, icycx: bool = 0, msg_py: numpy.number = None) supported_types¶
Interpolates a regular grid to a rectilinear one using bi-linear interpolation. The input grid may be cyclic in the x-direction. The interpolation is first performed in the x-direction, and then in the y-direction.
- Parameters
fi (
xarray.DataArray,numpy.ndarray) –An array of two or more dimensions. If
xiis passed in as an argument, then the size of the rightmost dimension offimust match the rightmost dimension ofxi. Similarly, ifyiis passed in as an argument, then the size of the second-rightmost dimension offimust match the rightmost dimension ofyi.If missing values are present, then linint2 will perform the bilinear interpolation at all points possible, but will return missing values at coordinates which could not be used.
Note: This variable must be supplied as a
xarray.DataArrayin order to copy the dimension names to the output. Otherwise, default names will be used.xo (
xarray.DataArray,numpy.ndarray) –A one-dimensional array that specifies the X-coordinates of the return array. It must be strictly monotonically increasing, but may be unequally spaced. For geo-referenced data,
xois generally the longitude array.If the output coordinates
xoare outside those of the input coordinatesxi, then thefovalues at those coordinates will be set to missing (i.e. no extrapolation is performed).yo (
xarray.DataArray,numpy.ndarray) –A one-dimensional array that specifies the Y coordinates of the return array. It must be strictly monotonically increasing, but may be unequally spaced. For geo-referenced data,
yois typically the latitude array.If the output coordinates
yoare outside those of the input coordinatesyi, then thefovalues at those coordinates will be set to missing (i.e. no extrapolation is performed).xi (
xarray.DataArray,numpy.ndarray) –An array that specifies the X-coordinates of the
fiarray. Most frequently, this is a 1D strictly monotonically increasing array that may be unequally spaced. In some cases,xican be a multi-dimensional array (see next paragraph). The rightmost dimension (call itnxi) must have at least two elements, and is the last (fastest varying) dimension offi.If
xiis a multi-dimensional array, then eachnxisubsection ofximust be strictly monotonically increasing, but may be unequally spaced. All but its rightmost dimension must be the same size as all butfi’s rightmost two dimensions. For geo-referenced data,xiis generally the longitude array.Note: If
fiis of typexarray.DataArrayandxiis left unspecified, then the rightmost coordinate dimension offiwill be used. Iffiis not of typexarray.DataArray, thenxibecomes a mandatory parameter. This parameter must be specified as a keyword argument.yi (
xarray.DataArray,numpy.ndarray) –An array that specifies the Y-coordinates of the
fiarray. Most frequently, this is a 1D strictly monotonically increasing array that may be unequally spaced. In some cases,yican be a multi-dimensional array (see next paragraph). The rightmost dimension (call it nyi) must have at least two elements, and is the second-to-last dimension offi.If
yiis a multi-dimensional array, then each nyi subsection ofyimust be strictly monotonically increasing, but may be unequally spaced. All but its rightmost dimension must be the same size as all butfi’s rightmost two dimensions. For geo-referenced data,yiis generally the latitude array.Note: If
fiis of typexarray.DataArrayandxiis left unspecified, then the second-to-rightmost coordinate dimension offiwill be used. Iffiis not of typexarray.DataArray, thenxibecomes a mandatory parameter. This parameter must be specified as a keyword argument.icycx (
bool) – An option to indicate whether the rightmost dimension offiis cyclic. This should be set to True only if you have global data, but your longitude values don’t quite wrap all the way around the globe. For example, if your longitude values go from, say, -179.75 to 179.75, or 0.5 to 359.5, then you would set this to True.msg_py (
numpy.number) – A numpy scalar value that represent a missing value infi. This argument allows a user to use a missing value scheme other than NaN or masked arrays, similar to what NCL allows.
- Returns
fo – The interpolated grid. If the meta parameter is True, then the result will include named dimensions matching the input array. The returned value will have the same dimensions as
fi, except for the rightmost two dimensions which will have the same dimension sizes as the lengths ofyoandxo. The return type will be double iffiis double, and float otherwise.- Return type
Examples
Example 1: Using
linint2withxarray.DataArrayinputimport numpy as np import xarray as xr import geocat.comp fi_np = np.random.rand(30, 80) # random 30x80 array # xi and yi do not have to be equally spaced, but they are # in this example xi = np.arange(80) yi = np.arange(30) # create target coordinate arrays, in this case use the same # min/max values as xi and yi, but with different spacing xo = np.linspace(xi.min(), xi.max(), 100) yo = np.linspace(yi.min(), yi.max(), 50) # create :class:`xarray.DataArray` and chunk it using the # full shape of the original array. # note that xi and yi are attached as coordinate arrays fi = xr.DataArray(fi_np, dims=['lat', 'lon'], coords={'lat': yi, 'lon': xi} ).chunk(fi_np.shape) fo = geocat.comp.linint2(fi, xo, yo, icycx=0)
- geocat.f2py.linint2_wrapper.linint2pts(fi: supported_types, xo: supported_types, yo: supported_types, icycx: bool = False, msg_py: numpy.number = None, xi: supported_types = None, yi: supported_types = None) supported_types¶
Interpolates from a rectilinear grid to an unstructured grid or locations using bilinear interpolation.
The
linint2ptsfunction uses bilinear interpolation to interpolate from a rectilinear grid to an unstructured grid.If missing values are present, then
linint2ptswill perform the piecewise linear interpolation at all points possible, but will return missing values at coordinates which could not be used.If one or more of the four closest grid points to a particular (
xo,yo) coordinate pair are missing, then the return value for this coordinate pair will be missing.If the user inadvertently specifies output coordinates (
xo,yo) that are outside those of the input coordinates (xi,yi), the output value at this coordinate pair will be set to missing as no extrapolation is performed.linint2ptsis different fromlinint2in thatxoandyoare coordinate pairs, and need not be monotonically increasing. It is also different in the dimensioning of the return array. This function could be used if the user wanted to interpolate gridded data to, say, the location of rawinsonde sites or buoy/xbt locations.Warning: if
xicontains longitudes, then thexovalues must be in the same range. In addition, if thexi`values span 0 to 360, then thexovalues must also be specified in this range (i.e. -180 to 180 will not work).- Parameters
fi (
xarray.DataArray,numpy.ndarray) – An array of two or more dimensions. The two rightmost dimensions (nyixnxi) are the dimensions to be used in the interpolation. If user-defined missing values are present (other than NaNs), the value ofmsg_pymust be set appropriately.xo (
xarray.DataArray,numpy.ndarray) – A one-dimensional array that specifies the X-coordinates of the unstructured grid.yo (
xarray.DataArray,numpy.ndarray) – A one-dimensional array that specifies the Y-coordinates of the unstructured grid. It must be the same length asxo.icycx (
bool) – An option to indicate whether the rightmost dimension offiis cyclic. Default valus is 0. This should be set to True only if you have global data, but your longitude values don’t quite wrap all the way around the globe. For example, if your longitude values go from, say, -179.75 to 179.75, or 0.5 to 359.5, then you would set this to True.msg_py (
numpy.number) – A numpy scalar value that represent a missing value infi. This argument allows a user to use a missing value scheme other than NaN or masked arrays, similar to what NCL allows.xi (
xarray.DataArray,numpy.ndarray) – A strictly monotonically increasing array that specifies the X-coordinates of thefiarray.ximight be defined as the coordinates offiwhenfiis of typexarray.DataArray; in this caseximay not be explicitly given as a function argument.yi (
xarray.DataArray,numpy.ndarray) – A strictly monotonically increasing array that specifies the Y [latitude] coordinates of thefiarray.yimight be defined as the coordinates offiwhenfiis of typexarray.DataArray; in this caseyimay not be explicitly given as a function argument.
- Returns
fo – The returned value will have the same dimensions as
fi, except for the rightmost dimension which will have the same dimension size as the length ofyoandxo.- Return type
Examples
Example 1: Using
linint2ptswithxarray.DataArrayinputimport numpy as np import xarray as xr import geocat.comp fi_np = np.random.rand(30, 80) # random 30x80 array # xi and yi do not have to be equally spaced, but they are # in this example xi = np.arange(80) yi = np.arange(30) # create target coordinate arrays, in this case use the same # min/max values as xi and yi, but with different spacing xo = np.linspace(xi.min(), xi.max(), 100) yo = np.linspace(yi.min(), yi.max(), 50) # create :class:`xarray.DataArray` and chunk it using the # full shape of the original array. # note that xi and yi are attached as coordinate arrays fi = xr.DataArray(fi_np, dims=['lat', 'lon'], coords={'lat': yi, 'lon': xi} ).chunk(fi_np.shape) fo = geocat.comp.linint2pts(fi, xo, yo, 0)
- geocat.f2py.linint2_wrapper.linint2_points(fi, xo, yo, icycx, msg=None, meta=False, xi=None, yi=None)¶