import datetime
import numpy as np
from xarray import DataArray

def make_simple_sample_data_2D(data_type='iris'):
    """
    function creating a simple dataset to use in tests for tobac. 
    The grid has a grid spacing of 1km in both horizontal directions and 100 grid cells in x direction and 500 in y direction.
    Time resolution is 1 minute and the total length of the dataset is 100 minutes around a abritraty date (2000-01-01 12:00). 
    The longitude and latitude coordinates are added as 2D aux coordinates and arbitrary, but in realisitic range.
    The data contains a single blob travelling on a linear trajectory through the dataset for part of the time.
    
    :param data_type: 'iris' or 'xarray' to chose the type of dataset to produce
    :return: sample dataset as an Iris.Cube.cube or xarray.DataArray

    """
    from iris.cube import Cube
    from iris.coords import DimCoord,AuxCoord

    t_0=datetime.datetime(2000,1,1,12,0,0)
    
    x=np.arange(0,100e3,1000)
    y=np.arange(0,50e3,1000)
    t=t_0+np.arange(0,100,1)*datetime.timedelta(minutes=1)
    xx,yy=np.meshgrid(x,y)    
    

    t_temp=np.arange(0,60,1)
    track1_t=t_0+t_temp*datetime.timedelta(minutes=1)
    x_0_1=10e3
    y_0_1=10e3
    track1_x=x_0_1+30*t_temp*60
    track1_y=y_0_1+14*t_temp*60
    track1_magnitude=10*np.ones(track1_x.shape)

    data=np.zeros((t.shape[0],y.shape[0],x.shape[0]))
    for i_t,t_i in enumerate(t):
        if np.any(t_i in track1_t):
            x_i=track1_x[track1_t==t_i]
            y_i=track1_y[track1_t==t_i]
            mag_i=track1_magnitude[track1_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))

    t_start=datetime.datetime(1970,1,1,0,0)
    t_points=(t-t_start).astype("timedelta64[ms]").astype(int) / 1000
    t_coord=DimCoord(t_points,standard_name='time',var_name='time',units='seconds since 1970-01-01 00:00')
    x_coord=DimCoord(x,standard_name='projection_x_coordinate',var_name='x',units='m')
    y_coord=DimCoord(y,standard_name='projection_y_coordinate',var_name='y',units='m')
    lat_coord=AuxCoord(24+1e-5*xx,standard_name='latitude',var_name='latitude',units='degree')
    lon_coord=AuxCoord(150+1e-5*yy,standard_name='longitude',var_name='longitude',units='degree')
    sample_data=Cube(data,dim_coords_and_dims=[(t_coord, 0),(y_coord, 1),(x_coord, 2)],aux_coords_and_dims=[(lat_coord, (1,2)),(lon_coord, (1,2))],var_name='w',units='m s-1')        

    if data_type=='xarray':
        sample_data=DataArray.from_iris(sample_data)
    
    return sample_data


def make_sample_data_2D_3blobs(data_type='iris'):
    from iris.cube import Cube
    from iris.coords import DimCoord,AuxCoord
    """
    function creating a simple dataset to use in tests for tobac. 
    The grid has a grid spacing of 1km in both horizontal directions and 100 grid cells in x direction and 200 in y direction.
    Time resolution is 1 minute and the total length of the dataset is 100 minutes around a abritraty date (2000-01-01 12:00). 
    The longitude and latitude coordinates are added as 2D aux coordinates and arbitrary, but in realisitic range.
    The data contains a three individual blobs travelling on a linear trajectory through the dataset for part of the time.
    
    :param data_type: 'iris' or 'xarray' to chose the type of dataset to produce
    :return: sample dataset as an Iris.Cube.cube or xarray.DataArray

    """

    t_0=datetime.datetime(2000,1,1,12,0,0)
    
    x=np.arange(0,100e3,1000)
    y=np.arange(0,200e3,1000)
    t=t_0+np.arange(0,100,1)*datetime.timedelta(minutes=1)
    xx,yy=np.meshgrid(x,y)    
    

    t_temp=np.arange(0,60,1)
    track1_t=t_0+t_temp*datetime.timedelta(minutes=1)
    x_0_1=10e3
    y_0_1=10e3
    track1_x=x_0_1+30*t_temp*60
    track1_y=y_0_1+14*t_temp*60
    track1_magnitude=10*np.ones(track1_x.shape)

    t_temp=np.arange(0,30,1)
    track2_t=t_0+(t_temp+40)*datetime.timedelta(minutes=1)
    x_0_2=20e3
    y_0_2=10e3
    track2_x=x_0_2+24*(t_temp*60)**2/1000
    track2_y=y_0_2+12*t_temp*60
    track2_magnitude=20*np.ones(track2_x.shape)



    t_temp=np.arange(0,20,1)
    track3_t=t_0+(t_temp+50)*datetime.timedelta(minutes=1)
    x_0_3=70e3
    y_0_3=110e3
    track3_x=x_0_3+20*(t_temp*60)**2/1000
    track3_y=y_0_3+20*t_temp*60
    track3_magnitude=15*np.ones(track3_x.shape)

    
    data=np.zeros((t.shape[0],y.shape[0],x.shape[0]))
    for i_t,t_i in enumerate(t):
        if np.any(t_i in track1_t):
            x_i=track1_x[track1_t==t_i]
            y_i=track1_y[track1_t==t_i]
            mag_i=track1_magnitude[track1_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))
        if np.any(t_i in track2_t):
            x_i=track2_x[track2_t==t_i]
            y_i=track2_y[track2_t==t_i]
            mag_i=track2_magnitude[track2_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))
        if np.any(t_i in track3_t):
            x_i=track3_x[track3_t==t_i]
            y_i=track3_y[track3_t==t_i]
            mag_i=track3_magnitude[track3_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))\
        
    t_start=datetime.datetime(1970,1,1,0,0)
    t_points=(t-t_start).astype("timedelta64[ms]").astype(int) / 1000
    t_coord=DimCoord(t_points,standard_name='time',var_name='time',units='seconds since 1970-01-01 00:00')
    x_coord=DimCoord(x,standard_name='projection_x_coordinate',var_name='x',units='m')
    y_coord=DimCoord(y,standard_name='projection_y_coordinate',var_name='y',units='m')
    lat_coord=AuxCoord(24+1e-5*xx,standard_name='latitude',var_name='latitude',units='degree')
    lon_coord=AuxCoord(150+1e-5*yy,standard_name='longitude',var_name='longitude',units='degree')
    sample_data=Cube(data,dim_coords_and_dims=[(t_coord, 0),(y_coord, 1),(x_coord, 2)],aux_coords_and_dims=[(lat_coord, (1,2)),(lon_coord, (1,2))],var_name='w',units='m s-1')        

    if data_type=='xarray':
        sample_data=DataArray.from_iris(sample_data)
    
    return sample_data


def make_sample_data_2D_3blobs_inv(data_type='iris'):
    """
    function creating a version of the dataset created in the function make_sample_cube_2D, but with switched coordinate order for the horizontal coordinates 
    for tests to ensure that this does not affect the results
        
    :param data_type: 'iris' or 'xarray' to chose the type of dataset to produce
    :return: sample dataset as an Iris.Cube.cube or xarray.DataArray

    """
    from iris.cube import Cube
    from iris.coords import DimCoord,AuxCoord

    t_0=datetime.datetime(2000,1,1,12,0,0)
    x=np.arange(0,100e3,1000)
    y=np.arange(0,200e3,1000)
    t=t_0+np.arange(0,100,1)*datetime.timedelta(minutes=1)
    yy,xx=np.meshgrid(y,x)    
    

    t_temp=np.arange(0,60,1)
    track1_t=t_0+t_temp*datetime.timedelta(minutes=1)
    x_0_1=10e3
    y_0_1=10e3
    track1_x=x_0_1+30*t_temp*60
    track1_y=y_0_1+14*t_temp*60
    track1_magnitude=10*np.ones(track1_x.shape)

    t_temp=np.arange(0,30,1)
    track2_t=t_0+(t_temp+40)*datetime.timedelta(minutes=1)
    x_0_2=20e3
    y_0_2=10e3
    track2_x=x_0_2+24*(t_temp*60)**2/1000
    track2_y=y_0_2+12*t_temp*60
    track2_magnitude=20*np.ones(track2_x.shape)



    t_temp=np.arange(0,20,1)
    track3_t=t_0+(t_temp+50)*datetime.timedelta(minutes=1)
    x_0_3=70e3
    y_0_3=110e3
    track3_x=x_0_3+20*(t_temp*60)**2/1000
    track3_y=y_0_3+20*t_temp*60
    track3_magnitude=15*np.ones(track3_x.shape)

    
    data=np.zeros((t.shape[0],x.shape[0],y.shape[0]))
    for i_t,t_i in enumerate(t):
        if np.any(t_i in track1_t):
            x_i=track1_x[track1_t==t_i]
            y_i=track1_y[track1_t==t_i]
            mag_i=track1_magnitude[track1_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))
        if np.any(t_i in track2_t):
            x_i=track2_x[track2_t==t_i]
            y_i=track2_y[track2_t==t_i]
            mag_i=track2_magnitude[track2_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))
        if np.any(t_i in track3_t):
            x_i=track3_x[track3_t==t_i]
            y_i=track3_y[track3_t==t_i]
            mag_i=track3_magnitude[track3_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))
    
    t_start=datetime.datetime(1970,1,1,0,0)
    t_points=(t-t_start).astype("timedelta64[ms]").astype(int) / 1000
    
    t_coord=DimCoord(t_points,standard_name='time',var_name='time',units='seconds since 1970-01-01 00:00')
    x_coord=DimCoord(x,standard_name='projection_x_coordinate',var_name='x',units='m')
    y_coord=DimCoord(y,standard_name='projection_y_coordinate',var_name='y',units='m')
    lat_coord=AuxCoord(24+1e-5*xx,standard_name='latitude',var_name='latitude',units='degree')
    lon_coord=AuxCoord(150+1e-5*yy,standard_name='longitude',var_name='longitude',units='degree')


    sample_data=Cube(data,dim_coords_and_dims=[(t_coord, 0),(y_coord, 2),(x_coord, 1)],aux_coords_and_dims=[(lat_coord, (1,2)),(lon_coord, (1,2))],var_name='w',units='m s-1')        
    
    if data_type=='xarray':
        sample_data=DataArray.from_iris(sample_data)
    
    return sample_data

def make_sample_data_3D_3blobs(data_type='iris',invert_xy=False):
    from iris.cube import Cube
    from iris.coords import DimCoord,AuxCoord
    """
    function creating a simple dataset to use in tests for tobac. 
    The grid has a grid spacing of 1km in both horizontal directions and 100 grid cells in x direction and 200 in y direction.
    Time resolution is 1 minute and the total length of the dataset is 100 minutes around a abritraty date (2000-01-01 12:00). 
    The longitude and latitude coordinates are added as 2D aux coordinates and arbitrary, but in realisitic range.
    The data contains a three individual blobs travelling on a linear trajectory through the dataset for part of the time.
    
    :param data_type: 'iris' or 'xarray' to chose the type of dataset to produce
    :return: sample dataset as an Iris.Cube.cube or xarray.DataArray

    """

    t_0=datetime.datetime(2000,1,1,12,0,0)
    
    x=np.arange(0,100e3,1000)
    y=np.arange(0,200e3,1000)
    z=np.arange(0,20e3,1000)

    t=t_0+np.arange(0,50,2)*datetime.timedelta(minutes=1)    
    
    t_temp=np.arange(0,60,1)
    track1_t=t_0+t_temp*datetime.timedelta(minutes=1)
    x_0_1=10e3
    y_0_1=10e3
    z_0_1=4e3
    track1_x=x_0_1+30*t_temp*60
    track1_y=y_0_1+14*t_temp*60
    track1_magnitude=10*np.ones(track1_x.shape)

    t_temp=np.arange(0,30,1)
    track2_t=t_0+(t_temp+40)*datetime.timedelta(minutes=1)
    x_0_2=20e3
    y_0_2=10e3
    z_0_2=6e3
    track2_x=x_0_2+24*(t_temp*60)**2/1000
    track2_y=y_0_2+12*t_temp*60
    track2_magnitude=20*np.ones(track2_x.shape)



    t_temp=np.arange(0,20,1)
    track3_t=t_0+(t_temp+50)*datetime.timedelta(minutes=1)
    x_0_3=70e3
    y_0_3=110e3
    z_0_3=8e3
    track3_x=x_0_3+20*(t_temp*60)**2/1000
    track3_y=y_0_3+20*t_temp*60
    track3_magnitude=15*np.ones(track3_x.shape)

    if invert_xy==False:
        zz,yy,xx=np.meshgrid(z,y,x,indexing='ij')
        y_dim=2
        x_dim=3
        data=np.zeros((t.shape[0],z.shape[0],y.shape[0],x.shape[0]))

    else:
        zz,xx,yy=np.meshgrid(z,x,y,indexing='ij')
        x_dim=2
        y_dim=3
        data=np.zeros((t.shape[0],z.shape[0],x.shape[0],y.shape[0]))

    
    for i_t,t_i in enumerate(t):
        if np.any(t_i in track1_t):
            x_i=track1_x[track1_t==t_i]
            y_i=track1_y[track1_t==t_i]
            z_i=z_0_1
            mag_i=track1_magnitude[track1_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))\
                                     *np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))\
                                     *np.exp(-np.power(zz - z_i, 2.) / (2 * np.power(5e3, 2.)))
        if np.any(t_i in track2_t):
            x_i=track2_x[track2_t==t_i]
            y_i=track2_y[track2_t==t_i]
            z_i=z_0_2
            mag_i=track2_magnitude[track2_t==t_i]        
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))\
                                     *np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))\
                                     *np.exp(-np.power(zz - z_i, 2.) / (2 * np.power(5e3, 2.)))

        if np.any(t_i in track3_t):
            x_i=track3_x[track3_t==t_i]
            y_i=track3_y[track3_t==t_i]
            z_i=z_0_3
            mag_i=track3_magnitude[track3_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))\
                                     *np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))\
                                     *np.exp(-np.power(zz - z_i, 2.) / (2 * np.power(5e3, 2.)))

        
    t_start=datetime.datetime(1970,1,1,0,0)
    t_points=(t-t_start).astype("timedelta64[ms]").astype(int) / 1000
    t_coord=DimCoord(t_points,standard_name='time',var_name='time',units='seconds since 1970-01-01 00:00')
    z_coord=DimCoord(z,standard_name='geopotential_height',var_name='z',units='m')
    y_coord=DimCoord(y,standard_name='projection_y_coordinate',var_name='y',units='m')
    x_coord=DimCoord(x,standard_name='projection_x_coordinate',var_name='x',units='m')
    lat_coord=AuxCoord(24+1e-5*xx[0],standard_name='latitude',var_name='latitude',units='degree')
    lon_coord=AuxCoord(150+1e-5*yy[0],standard_name='longitude',var_name='longitude',units='degree')
    sample_data=Cube(data,dim_coords_and_dims=[(t_coord, 0),(z_coord, 1),(y_coord, y_dim),(x_coord, x_dim)],aux_coords_and_dims=[(lat_coord, (2,3)),(lon_coord, (2,3))],var_name='w',units='m s-1')        

    if data_type=='xarray':
        sample_data=DataArray.from_iris(sample_data)
    
    return sample_data

import datetime
import numpy as np
from xarray import DataArray

def make_simple_sample_data_2D(data_type='iris'):
    """
    function creating a simple dataset to use in tests for tobac. 
    The grid has a grid spacing of 1km in both horizontal directions and 100 grid cells in x direction and 500 in y direction.
    Time resolution is 1 minute and the total length of the dataset is 100 minutes around a abritraty date (2000-01-01 12:00). 
    The longitude and latitude coordinates are added as 2D aux coordinates and arbitrary, but in realisitic range.
    The data contains a single blob travelling on a linear trajectory through the dataset for part of the time.
    
    :param data_type: 'iris' or 'xarray' to chose the type of dataset to produce
    :return: sample dataset as an Iris.Cube.cube or xarray.DataArray

    """
    from iris.cube import Cube
    from iris.coords import DimCoord,AuxCoord

    t_0=datetime.datetime(2000,1,1,12,0,0)
    
    x=np.arange(0,100e3,1000)
    y=np.arange(0,50e3,1000)
    t=t_0+np.arange(0,100,1)*datetime.timedelta(minutes=1)
    xx,yy=np.meshgrid(x,y)    
    

    t_temp=np.arange(0,60,1)
    track1_t=t_0+t_temp*datetime.timedelta(minutes=1)
    x_0_1=10e3
    y_0_1=10e3
    track1_x=x_0_1+30*t_temp*60
    track1_y=y_0_1+14*t_temp*60
    track1_magnitude=10*np.ones(track1_x.shape)

    data=np.zeros((t.shape[0],y.shape[0],x.shape[0]))
    for i_t,t_i in enumerate(t):
        if np.any(t_i in track1_t):
            x_i=track1_x[track1_t==t_i]
            y_i=track1_y[track1_t==t_i]
            mag_i=track1_magnitude[track1_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))

    t_start=datetime.datetime(1970,1,1,0,0)
    t_points=(t-t_start).astype("timedelta64[ms]").astype(int) / 1000
    t_coord=DimCoord(t_points,standard_name='time',var_name='time',units='seconds since 1970-01-01 00:00')
    x_coord=DimCoord(x,standard_name='projection_x_coordinate',var_name='x',units='m')
    y_coord=DimCoord(y,standard_name='projection_y_coordinate',var_name='y',units='m')
    lat_coord=AuxCoord(24+1e-5*xx,standard_name='latitude',var_name='latitude',units='degree')
    lon_coord=AuxCoord(150+1e-5*yy,standard_name='longitude',var_name='longitude',units='degree')
    sample_data=Cube(data,dim_coords_and_dims=[(t_coord, 0),(y_coord, 1),(x_coord, 2)],aux_coords_and_dims=[(lat_coord, (1,2)),(lon_coord, (1,2))],var_name='w',units='m s-1')        

    if data_type=='xarray':
        sample_data=DataArray.from_iris(sample_data)
    
    return sample_data


def make_sample_data_2D_3blobs(data_type='iris'):
    from iris.cube import Cube
    from iris.coords import DimCoord,AuxCoord
    """
    function creating a simple dataset to use in tests for tobac. 
    The grid has a grid spacing of 1km in both horizontal directions and 100 grid cells in x direction and 200 in y direction.
    Time resolution is 1 minute and the total length of the dataset is 100 minutes around a abritraty date (2000-01-01 12:00). 
    The longitude and latitude coordinates are added as 2D aux coordinates and arbitrary, but in realisitic range.
    The data contains a three individual blobs travelling on a linear trajectory through the dataset for part of the time.
    
    :param data_type: 'iris' or 'xarray' to chose the type of dataset to produce
    :return: sample dataset as an Iris.Cube.cube or xarray.DataArray

    """

    t_0=datetime.datetime(2000,1,1,12,0,0)
    
    x=np.arange(0,100e3,1000)
    y=np.arange(0,200e3,1000)
    t=t_0+np.arange(0,100,1)*datetime.timedelta(minutes=1)
    xx,yy=np.meshgrid(x,y)    
    

    t_temp=np.arange(0,60,1)
    track1_t=t_0+t_temp*datetime.timedelta(minutes=1)
    x_0_1=10e3
    y_0_1=10e3
    track1_x=x_0_1+30*t_temp*60
    track1_y=y_0_1+14*t_temp*60
    track1_magnitude=10*np.ones(track1_x.shape)

    t_temp=np.arange(0,30,1)
    track2_t=t_0+(t_temp+40)*datetime.timedelta(minutes=1)
    x_0_2=20e3
    y_0_2=10e3
    track2_x=x_0_2+24*(t_temp*60)**2/1000
    track2_y=y_0_2+12*t_temp*60
    track2_magnitude=20*np.ones(track2_x.shape)



    t_temp=np.arange(0,20,1)
    track3_t=t_0+(t_temp+50)*datetime.timedelta(minutes=1)
    x_0_3=70e3
    y_0_3=110e3
    track3_x=x_0_3+20*(t_temp*60)**2/1000
    track3_y=y_0_3+20*t_temp*60
    track3_magnitude=15*np.ones(track3_x.shape)

    
    data=np.zeros((t.shape[0],y.shape[0],x.shape[0]))
    for i_t,t_i in enumerate(t):
        if np.any(t_i in track1_t):
            x_i=track1_x[track1_t==t_i]
            y_i=track1_y[track1_t==t_i]
            mag_i=track1_magnitude[track1_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))
        if np.any(t_i in track2_t):
            x_i=track2_x[track2_t==t_i]
            y_i=track2_y[track2_t==t_i]
            mag_i=track2_magnitude[track2_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))
        if np.any(t_i in track3_t):
            x_i=track3_x[track3_t==t_i]
            y_i=track3_y[track3_t==t_i]
            mag_i=track3_magnitude[track3_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))\
        
    t_start=datetime.datetime(1970,1,1,0,0)
    t_points=(t-t_start).astype("timedelta64[ms]").astype(int) / 1000
    t_coord=DimCoord(t_points,standard_name='time',var_name='time',units='seconds since 1970-01-01 00:00')
    x_coord=DimCoord(x,standard_name='projection_x_coordinate',var_name='x',units='m')
    y_coord=DimCoord(y,standard_name='projection_y_coordinate',var_name='y',units='m')
    lat_coord=AuxCoord(24+1e-5*xx,standard_name='latitude',var_name='latitude',units='degree')
    lon_coord=AuxCoord(150+1e-5*yy,standard_name='longitude',var_name='longitude',units='degree')
    sample_data=Cube(data,dim_coords_and_dims=[(t_coord, 0),(y_coord, 1),(x_coord, 2)],aux_coords_and_dims=[(lat_coord, (1,2)),(lon_coord, (1,2))],var_name='w',units='m s-1')        

    if data_type=='xarray':
        sample_data=DataArray.from_iris(sample_data)
    
    return sample_data


def make_sample_data_2D_3blobs_inv(data_type='iris'):
    """
    function creating a version of the dataset created in the function make_sample_cube_2D, but with switched coordinate order for the horizontal coordinates 
    for tests to ensure that this does not affect the results
        
    :param data_type: 'iris' or 'xarray' to chose the type of dataset to produce
    :return: sample dataset as an Iris.Cube.cube or xarray.DataArray

    """
    from iris.cube import Cube
    from iris.coords import DimCoord,AuxCoord

    t_0=datetime.datetime(2000,1,1,12,0,0)
    x=np.arange(0,100e3,1000)
    y=np.arange(0,200e3,1000)
    t=t_0+np.arange(0,100,1)*datetime.timedelta(minutes=1)
    yy,xx=np.meshgrid(y,x)    
    

    t_temp=np.arange(0,60,1)
    track1_t=t_0+t_temp*datetime.timedelta(minutes=1)
    x_0_1=10e3
    y_0_1=10e3
    track1_x=x_0_1+30*t_temp*60
    track1_y=y_0_1+14*t_temp*60
    track1_magnitude=10*np.ones(track1_x.shape)

    t_temp=np.arange(0,30,1)
    track2_t=t_0+(t_temp+40)*datetime.timedelta(minutes=1)
    x_0_2=20e3
    y_0_2=10e3
    track2_x=x_0_2+24*(t_temp*60)**2/1000
    track2_y=y_0_2+12*t_temp*60
    track2_magnitude=20*np.ones(track2_x.shape)



    t_temp=np.arange(0,20,1)
    track3_t=t_0+(t_temp+50)*datetime.timedelta(minutes=1)
    x_0_3=70e3
    y_0_3=110e3
    track3_x=x_0_3+20*(t_temp*60)**2/1000
    track3_y=y_0_3+20*t_temp*60
    track3_magnitude=15*np.ones(track3_x.shape)

    
    data=np.zeros((t.shape[0],x.shape[0],y.shape[0]))
    for i_t,t_i in enumerate(t):
        if np.any(t_i in track1_t):
            x_i=track1_x[track1_t==t_i]
            y_i=track1_y[track1_t==t_i]
            mag_i=track1_magnitude[track1_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))
        if np.any(t_i in track2_t):
            x_i=track2_x[track2_t==t_i]
            y_i=track2_y[track2_t==t_i]
            mag_i=track2_magnitude[track2_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))
        if np.any(t_i in track3_t):
            x_i=track3_x[track3_t==t_i]
            y_i=track3_y[track3_t==t_i]
            mag_i=track3_magnitude[track3_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))*np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))
    
    t_start=datetime.datetime(1970,1,1,0,0)
    t_points=(t-t_start).astype("timedelta64[ms]").astype(int) / 1000
    
    t_coord=DimCoord(t_points,standard_name='time',var_name='time',units='seconds since 1970-01-01 00:00')
    x_coord=DimCoord(x,standard_name='projection_x_coordinate',var_name='x',units='m')
    y_coord=DimCoord(y,standard_name='projection_y_coordinate',var_name='y',units='m')
    lat_coord=AuxCoord(24+1e-5*xx,standard_name='latitude',var_name='latitude',units='degree')
    lon_coord=AuxCoord(150+1e-5*yy,standard_name='longitude',var_name='longitude',units='degree')


    sample_data=Cube(data,dim_coords_and_dims=[(t_coord, 0),(y_coord, 2),(x_coord, 1)],aux_coords_and_dims=[(lat_coord, (1,2)),(lon_coord, (1,2))],var_name='w',units='m s-1')        
    
    if data_type=='xarray':
        sample_data=DataArray.from_iris(sample_data)
    
    return sample_data

def make_sample_data_3D_3blobs(data_type='iris',invert_xy=False):
    from iris.cube import Cube
    from iris.coords import DimCoord,AuxCoord
    """
    function creating a simple dataset to use in tests for tobac. 
    The grid has a grid spacing of 1km in both horizontal directions and 100 grid cells in x direction and 200 in y direction.
    Time resolution is 1 minute and the total length of the dataset is 100 minutes around a abritraty date (2000-01-01 12:00). 
    The longitude and latitude coordinates are added as 2D aux coordinates and arbitrary, but in realisitic range.
    The data contains a three individual blobs travelling on a linear trajectory through the dataset for part of the time.
    
    :param data_type: 'iris' or 'xarray' to chose the type of dataset to produce
    :return: sample dataset as an Iris.Cube.cube or xarray.DataArray

    """

    t_0=datetime.datetime(2000,1,1,12,0,0)
    
    x=np.arange(0,100e3,1000)
    y=np.arange(0,200e3,1000)
    z=np.arange(0,20e3,1000)

    t=t_0+np.arange(0,50,2)*datetime.timedelta(minutes=1)    
    
    t_temp=np.arange(0,60,1)
    track1_t=t_0+t_temp*datetime.timedelta(minutes=1)
    x_0_1=10e3
    y_0_1=10e3
    z_0_1=4e3
    track1_x=x_0_1+30*t_temp*60
    track1_y=y_0_1+14*t_temp*60
    track1_magnitude=10*np.ones(track1_x.shape)

    t_temp=np.arange(0,30,1)
    track2_t=t_0+(t_temp+40)*datetime.timedelta(minutes=1)
    x_0_2=20e3
    y_0_2=10e3
    z_0_2=6e3
    track2_x=x_0_2+24*(t_temp*60)**2/1000
    track2_y=y_0_2+12*t_temp*60
    track2_magnitude=20*np.ones(track2_x.shape)



    t_temp=np.arange(0,20,1)
    track3_t=t_0+(t_temp+50)*datetime.timedelta(minutes=1)
    x_0_3=70e3
    y_0_3=110e3
    z_0_3=8e3
    track3_x=x_0_3+20*(t_temp*60)**2/1000
    track3_y=y_0_3+20*t_temp*60
    track3_magnitude=15*np.ones(track3_x.shape)

    if invert_xy==False:
        zz,yy,xx=np.meshgrid(z,y,x,indexing='ij')
        y_dim=2
        x_dim=3
        data=np.zeros((t.shape[0],z.shape[0],y.shape[0],x.shape[0]))

    else:
        zz,xx,yy=np.meshgrid(z,x,y,indexing='ij')
        x_dim=2
        y_dim=3
        data=np.zeros((t.shape[0],z.shape[0],x.shape[0],y.shape[0]))

    
    for i_t,t_i in enumerate(t):
        if np.any(t_i in track1_t):
            x_i=track1_x[track1_t==t_i]
            y_i=track1_y[track1_t==t_i]
            z_i=z_0_1
            mag_i=track1_magnitude[track1_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))\
                                     *np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))\
                                     *np.exp(-np.power(zz - z_i, 2.) / (2 * np.power(5e3, 2.)))
        if np.any(t_i in track2_t):
            x_i=track2_x[track2_t==t_i]
            y_i=track2_y[track2_t==t_i]
            z_i=z_0_2
            mag_i=track2_magnitude[track2_t==t_i]        
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))\
                                     *np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))\
                                     *np.exp(-np.power(zz - z_i, 2.) / (2 * np.power(5e3, 2.)))

        if np.any(t_i in track3_t):
            x_i=track3_x[track3_t==t_i]
            y_i=track3_y[track3_t==t_i]
            z_i=z_0_3
            mag_i=track3_magnitude[track3_t==t_i]
            data[i_t]=data[i_t]+mag_i*np.exp(-np.power(xx - x_i,2.) / (2 * np.power(10e3, 2.)))\
                                     *np.exp(-np.power(yy - y_i, 2.) / (2 * np.power(10e3, 2.)))\
                                     *np.exp(-np.power(zz - z_i, 2.) / (2 * np.power(5e3, 2.)))

        
    t_start=datetime.datetime(1970,1,1,0,0)
    t_points=(t-t_start).astype("timedelta64[ms]").astype(int) / 1000
    t_coord=DimCoord(t_points,standard_name='time',var_name='time',units='seconds since 1970-01-01 00:00')
    z_coord=DimCoord(z,standard_name='geopotential_height',var_name='z',units='m')
    y_coord=DimCoord(y,standard_name='projection_y_coordinate',var_name='y',units='m')
    x_coord=DimCoord(x,standard_name='projection_x_coordinate',var_name='x',units='m')
    lat_coord=AuxCoord(24+1e-5*xx[0],standard_name='latitude',var_name='latitude',units='degree')
    lon_coord=AuxCoord(150+1e-5*yy[0],standard_name='longitude',var_name='longitude',units='degree')
    sample_data=Cube(data,dim_coords_and_dims=[(t_coord, 0),(z_coord, 1),(y_coord, y_dim),(x_coord, x_dim)],aux_coords_and_dims=[(lat_coord, (2,3)),(lon_coord, (2,3))],var_name='w',units='m s-1')        

    if data_type=='xarray':
        sample_data=DataArray.from_iris(sample_data)
    
    return sample_data

function creating a simple dataset to use in tests for tobac.      The grid has a grid spacing of 1km in both horizontal directions and 100 grid cells in x direction and 500 in y direction.     Time resolution is 1 minute and the total length of the dataset is 100 minutes around a abritraty date (2000-01-01 12:00).      The longitude and latitude coordinates are added as 2D aux coordinates and arbitrary, but in realisitic range.     The data contains a single blob travelling on a linear trajectory through the dataset for part of the time.          :param data_type: 'iris' or 'xarray' to chose the type of dataset to produce     :return: sample dataset as an Iris.Cube.cube or xarray.DataArray function creating a simple dataset to use in tests for tobac.      The grid has a grid spacing of 1km in both horizontal directions and 100 grid cells in x direction and 200 in y direction.     Time resolution is 1 minute and the total length of the dataset is 100 minutes around a abritraty date (2000-01-01 12:00).      The longitude and latitude coordinates are added as 2D aux coordinates and arbitrary, but in realisitic range.     The data contains a three individual blobs travelling on a linear trajectory through the dataset for part of the time.          :param data_type: 'iris' or 'xarray' to chose the type of dataset to produce     :return: sample dataset as an Iris.Cube.cube or xarray.DataArray function creating a version of the dataset created in the function make_sample_cube_2D, but with switched coordinate order for the horizontal coordinates      for tests to ensure that this does not affect the results              :param data_type: 'iris' or 'xarray' to chose the type of dataset to produce     :return: sample dataset as an Iris.Cube.cube or xarray.DataArray function creating a simple dataset to use in tests for tobac.      The grid has a grid spacing of 1km in both horizontal directions and 100 grid cells in x direction and 200 in y direction.     Time resolution is 1 minute and the total length of the dataset is 100 minutes around a abritraty date (2000-01-01 12:00).      The longitude and latitude coordinates are added as 2D aux coordinates and arbitrary, but in realisitic range.     The data contains a three individual blobs travelling on a linear trajectory through the dataset for part of the time.          :param data_type: 'iris' or 'xarray' to chose the type of dataset to produce     :return: sample dataset as an Iris.Cube.cube or xarray.DataArray