Repository: LinkedEarth/Pyleoclim_util (language: python)

Issue:
error-tolerant equals() method
**Describe the bug**
Series.equals() is meant to test the equality of two Series. It does so very well, but there are cases where we would want this equality to be robust to small numerical differences. For instance, going Series --> CSV --> Series yields very small differences (order 10^{-14}) in the time axis, so the two Series objects (before vs after) are not identical. 

**Expected behavior**
the two Series should be declared equal within some tolerance. 
**Proposed solution**
introduce a `tol` parameter to equal, equal to np.sqrt(np.eps) by default, or something similarly small. Under the hood, pass this to pandas.testing.assert_series_equal and assert_index_equal, which should have tolerance settings. 



Discussion / hints:

Fix patch:
diff --git a/example_data/EPICA_Dome_C_CO2.csv b/example_data/EPICA_Dome_C_CO2.csv
new file mode 100644
index 00000000..a9667b9a
--- /dev/null
+++ b/example_data/EPICA_Dome_C_CO2.csv
@@ -0,0 +1,1915 @@
+###,Series metadata
+written by,Pyleoclim 1.0.0b0
+time_unit,kyr BP
+time_name,Age
+value_unit,ppm
+value_name,$CO_2$
+label,EPICA Dome C CO2
+lat,
+lon,
+archiveType,
+importedFrom,
+log,"({0: 'clean_ts', 'applied': True, 'verbose': False},)"
+###,end metadata
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diff --git a/example_data/LR04.csv b/example_data/LR04.csv
new file mode 100644
index 00000000..b6849447
--- /dev/null
+++ b/example_data/LR04.csv
@@ -0,0 +1,2120 @@
+﻿Please,cite:,"Lisiecki, L. E., and M. E. Raymo (2005), A Pliocene-"
+Pleist,ocene,"stack of 57 globally distributed benthic d18O records,"
+Paleoc,eanogr,"aphy,20, PA1003, doi:10.1029/2004PA001071."
+,,
+Time (ka),Benthic d18O (per mil),Standard error (per mil)
+0,3.23,0.03
+1,3.23,0.04
+2,3.18,0.03
+3,3.29,0.03
+4,3.3,0.03
+5,3.26,0.03
+6,3.33,0.04
+7,3.37,0.04
+8,3.42,0.03
+9,3.38,0.04
+10,3.52,0.04
+11,3.6,0.04
+12,3.92,0.05
+13,4.06,0.04
+14,4.28,0.03
+15,4.49,0.04
+16,4.75,0.03
+17,4.88,0.04
+18,5.02,0.03
+19,4.96,0.03
+20,4.99,0.04
+21,4.91,0.03
+22,4.88,0.03
+23,4.86,0.03
+24,4.81,0.04
+25,4.82,0.02
+26,4.67,0.04
+27,4.75,0.04
+28,4.75,0.03
+29,4.73,0.03
+30,4.62,0.04
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+32,4.6,0.03
+33,4.58,0.03
+34,4.59,0.03
+35,4.54,0.02
+36,4.45,0.03
+37,4.46,0.03
+38,4.41,0.03
+39,4.55,0.03
+40,4.55,0.03
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+42,4.5,0.03
+43,4.46,0.04
+44,4.48,0.03
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+5025,2.74,0.1
+5030,2.77,0.06
+5035,2.79,0.08
+5040,3.06,0.06
+5045,3.17,0.05
+5050,3.04,0.07
+5055,3.06,0.08
+5060,2.85,0.06
+5065,2.9,0.1
+5070,2.93,0.08
+5075,2.69,0.07
+5080,2.78,0.09
+5085,2.81,0.07
+5090,2.66,0.06
+5095,2.88,0.06
+5100,3,0.11
+5105,3.04,0.05
+5110,2.92,0.04
+5115,2.86,0.07
+5120,2.8,0.08
+5125,2.72,0.02
+5130,2.68,0.06
+5135,2.65,0.08
+5140,2.94,0.07
+5145,2.9,0.05
+5150,2.89,0.09
+5155,2.91,0.07
+5160,2.82,0.13
+5165,2.95,0.05
+5170,3.02,0.09
+5175,3.21,0.1
+5180,3.11,0.08
+5185,3.02,0.08
+5190,3,0.07
+5195,2.82,0.11
+5200,2.86,0.08
+5205,3,0.11
+5210,2.96,0.06
+5215,2.87,0.06
+5220,2.84,0.09
+5225,2.93,0.07
+5230,2.98,0.05
+5235,2.77,0.08
+5240,2.92,0.07
+5245,2.97,0.09
+5250,3.06,0.09
+5255,3.09,0.12
+5260,3.01,0.07
+5265,2.98,0.08
+5270,2.8,0.07
+5275,2.89,0.11
+5280,2.89,0.08
+5285,2.8,0.06
+5290,2.92,0.03
+5295,2.97,0.06
+5300,2.91,0.06
+5305,2.79,0.04
+5310,2.79,0.09
+5315,2.84,0.07
+5320,2.91,0.09
\ No newline at end of file
diff --git a/example_data/metadata.yml b/example_data/metadata.yml
index 8560d617..3add0783 100644
--- a/example_data/metadata.yml
+++ b/example_data/metadata.yml
@@ -21,10 +21,53 @@ nino3:
   pyleo_kwargs:
     time_name: 'time'
     time_unit: 'year C.E.'
+    label: 'NINO3 SST'
     value_name: 'NINO3'
     value_unit: '$^{\circ}$C'
   time_column: t
   value_column: nino
+  
+air:
+  filename: 'wtc_test_data_nino_even'
+  file_extension: 'csv'
+  pandas_kwargs:
+    header: 0
+  pyleo_kwargs:
+    time_name: 'time'
+    time_unit: 'year C.E.'
+    label: 'All-India Rainfall'
+    value_name: 'AIR'
+    value_unit: 'mm/month'
+  time_column: t
+  value_column: air  
+  
+LR04:
+  filename: 'LR04'
+  file_extension: 'csv'
+  pandas_kwargs:
+    header: 4
+  pyleo_kwargs:
+    time_name: 'Age'
+    time_unit: 'ky BP'
+    label: 'LR04 benthic stack'
+    value_name: '$\delta^{18}$O' 
+    value_unit: '‰'
+  time_column: Time (ka)
+  value_column: Benthic d18O (per mil)  
+  
+AACO2:
+  filename: 'EPICA_Dome_C_CO2'
+  file_extension: 'csv'
+  pandas_kwargs:
+    header: 13
+  pyleo_kwargs:
+    time_name: 'Age'
+    time_unit: 'ky BP'
+    label: 'EPICA Dome C CO2'
+    value_name: '$CO_2$' 
+    value_unit: 'ppm'
+  time_column: Age [kyr BP]
+  value_column: $CO_2$ [ppm]      
 
 nino_json:
   filename: 'Nino'
diff --git a/pyleoclim/core/series.py b/pyleoclim/core/series.py
index 99bf2232..c0f76206 100644
--- a/pyleoclim/core/series.py
+++ b/pyleoclim/core/series.py
@@ -28,9 +28,10 @@
 
 import seaborn as sns
 import matplotlib.pyplot as plt
-import matplotlib as mpl # could also from matplotlib.colors import ColorbarBase
+#import matplotlib as mpl # could also from matplotlib.colors import ColorbarBase
 import numpy as np
 import pandas as pd
+
 #from tabulate import tabulate
 from collections import namedtuple
 from copy import deepcopy
@@ -292,7 +293,20 @@ def to_csv(self, metadata_header=True, path = '.'):
 
         Returns
         -------
-        None.
+        None
+        
+        See Also
+        --------
+        pyleoclim.Series.from_csv
+        
+        Examples
+        --------
+        >>> import pyleoclim as pyleo
+        >>> LR04 = pyleo.utils.load_dataset('LR04')
+        >>> LR04.to_csv()
+        >>> lr04 = pyleo.Series.from_csv('LR04_benthic_stack.csv')
+        >>> LR04.equals(lr04) 
+        
 
         '''
         filename = self.label.replace(" ", "_") + '.csv' if self.label is not None else 'series.csv' 
@@ -331,6 +345,10 @@ def from_csv(cls, filename, path = '.'):
         -------
         Series
             pyleoclim Series object containing data and metadata.
+            
+        See Also
+        --------
+        pyleoclim.Series.to_csv     
 
         '''
         metadata = {}
@@ -431,34 +449,72 @@ def pandas_method(self, method):
             raise ValueError('Given method does not return a pandas Series and cannot be applied')
         return self.from_pandas(result, self.metadata)
     
-    def equals(self,ts):
+    def equals(self, ts, index_tol = 5, value_tol = 1e-5):
         '''
-        Test whether two objects contain the same elements (data and metadata)
+        Test whether two objects contain the same elements (values and datetime_index)
+        A printout is returned if metadata are different, but the statement is considered 
+        True as long as data match. 
 
         Parameters
         ----------
         ts : Series object
            The target series for the comparison
+           
+        index_tol: int, default 5
+            tolerance on difference in datetime indices (in dtype units, which are seconds by default) 
+
+        value_tol: float, default 1e-5
+            tolerance on difference in values (in %)
+           
         Returns
         -------
-        bool
-            Truth value of the proposition "the two series are identical"
-
+        same_data: bool
+            Truth value of the proposition "the two series have the same data". 
+            
+        same_metadata: bool
+            Truth value of the proposition "the two series have the same metadata".  
+            
+        Examples
+        --------
+        >>> import pyleoclim as pyleo
+        >>> soi = pyleo.utils.load_dataset('soi')
+        >>> nino3 = pyleo.utils.load_dataset('nino3')
+        >>> soi.equals(nino3)
+                    
         '''
-        # check that the data are the same
-        same_data = self.to_pandas().equals(ts.to_pandas())
-        if not same_data:
-            print("Difference found among the 2 Series'' data")
+        left = self.to_pandas()
+        right = ts.to_pandas()
+        
+        if len(left) != len(right): # check that series have the same lengths
+            print(f"The two series have different lengths, left: {len(left)} vs right: {len(right)}")
+            same_values = False
+            same_index = False
+        else:    
+            # check that the values are the same
+            try:
+                same_values = np.allclose(left.values, right.values, rtol=value_tol, equal_nan=True)
+                if not same_values:
+                    print(f"The two series have values differing by more than {value_tol} {self.value_unit}")
+                # check that the indices are the same
+                dt = left.index - right.index
+                same_index = all(dt.total_seconds() < index_tol)
+                 
+                if not same_index:
+                    print(f"The series have indices differing by more than {index_tol} seconds")
+                
+            except AssertionError as exp:
+                print(str(exp))
+                
+        same_data = same_values & same_index
         # check that the metadata are the same
         same_metadata = (self.metadata == ts.metadata)
         if not same_metadata:
-            print("Difference found among the 2 Series'' metadata:")
+            print("Metadata are different:")
             for key in self.metadata:
                 if self.metadata.get(key) != ts.metadata.get(key):
-                    print(f"key {key}, left: {self.metadata.get(key)}, right: {ts.metadata.get(key)}")
+                    print(f"{key} property -- left: {self.metadata.get(key)}, right: {ts.metadata.get(key)}")
             
-        
-        return same_data & same_metadata 
+        return same_data, same_metadata
     
     def view(self):
         '''


Test patch:
diff --git a/example_data/wtc_test_data_nino_even.csv b/example_data/wtc_test_data_nino_even.csv
index fbd113fe..ef603e01 100644
--- a/example_data/wtc_test_data_nino_even.csv
+++ b/example_data/wtc_test_data_nino_even.csv
@@ -1,1597 +1,1597 @@
-t,air,nino
-1871.0,87.3609,-0.35825
-1871.0833333333333,-21.8346,-0.2924584
-1871.1666666666665,-5.52632,-0.1435833
-1871.2499999999998,75.7368,-0.149625
-1871.333333333333,105.82,-0.27425
-1871.4166666666663,437.85,-0.3724167
-1871.4999999999995,54.3684,-0.2715
-1871.5833333333328,-631.038,-0.3378333
-1871.666666666666,133.902,-0.175625
-1871.7499999999993,-411.759,-0.052208334
-1871.8333333333326,12.3383,-0.0050000013
-1871.9166666666658,-52.9549,-0.218875
-1871.999999999999,-33.6391,-0.5075001
-1872.0833333333323,-53.8346,-0.533375
-1872.1666666666656,-77.5263,-0.5465834
-1872.2499999999989,-23.2632,-0.598875
-1872.3333333333321,-92.1805,-0.6535
-1872.4166666666654,249.85,-0.5886667
-1872.4999999999986,189.368,-0.5147501
-1872.583333333332,26.9624,-0.6217501
-1872.6666666666652,176.902,-1.00625
-1872.7499999999984,5.2406,-0.9237084
-1872.8333333333317,-35.6617,-0.8687084
-1872.916666666665,71.0451,-0.783375
-1872.9999999999982,-72.6391,-0.7317083
-1873.0833333333314,6.16541,-0.8480834
-1873.1666666666647,-0.526316,-0.8297084
-1873.249999999998,-20.2632,-0.6962501
-1873.3333333333312,-102.18,-0.4467084
-1873.4166666666645,-512.15,-0.3306667
-1873.4999999999977,-78.6316,-0.151875
-1873.583333333331,-283.038,-0.3927917
-1873.6666666666642,-46.0977,-0.3576667
-1873.7499999999975,-172.759,-0.6431251
-1873.8333333333308,-196.662,-1.021875
-1873.916666666664,-29.9549,-1.1575
-1873.9999999999973,-23.6391,-0.977125
-1874.0833333333305,29.1654,-1.094875
-1874.1666666666638,-43.5263,-0.9694167
-1874.249999999997,-94.2632,-0.838
-1874.3333333333303,152.82,-0.7487084
-1874.4166666666636,636.85,-0.7400834
-1874.4999999999968,346.368,-0.8526251
-1874.58333333333,-90.0376,-1.169375
-1874.6666666666633,359.902,-1.00825
-1874.7499999999966,153.241,-1.027667
-1874.8333333333298,-124.662,-1.241292
-1874.916666666663,-79.9549,-0.78575
-1874.9999999999964,-10.6391,-0.5002084
-1875.0833333333296,-14.8346,-0.7718334
-1875.1666666666629,-19.5263,-0.4692917
-1875.2499999999961,-31.2632,-0.7503334
-1875.3333333333294,-24.1805,-0.6111667
-1875.4166666666626,284.85,-0.5960833
-1875.499999999996,355.368,-0.4154584
-1875.5833333333292,-238.038,-0.7095
-1875.6666666666624,402.902,-0.5875417
-1875.7499999999957,-213.759,-0.87975
-1875.833333333329,-248.662,-0.7973334
-1875.9166666666622,-48.9549,-0.64225
-1875.9999999999955,-100.639,-0.9426667
-1876.0833333333287,-107.835,-0.9870834
-1876.166666666662,9.47368,-0.9531251
-1876.2499999999952,-98.2632,-0.9444584
-1876.3333333333285,-104.18,-0.48925
-1876.4166666666617,-409.15,-0.2585834
-1876.499999999995,244.368,-0.022625001
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-1876.7499999999948,-315.759,0.4621667
-1876.833333333328,-216.662,0.44225
-1876.9166666666613,-94.9549,0.3955834
-1876.9999999999945,182.361,0.6929584
-1877.0833333333278,106.165,0.644125
-1877.166666666661,89.4737,0.7826667
-1877.2499999999943,89.7368,1.152708
-1877.3333333333276,143.82,1.144458
-1877.4166666666608,-218.15,1.700083
-1877.499999999994,-1159.63,1.855333
-1877.5833333333273,-856.038,2.149458
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-1877.8333333333271,-122.662,2.617208
-1877.9166666666604,245.045,2.767667
-1877.9999999999936,-1.6391,2.706458
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-1878.2499999999934,97.7368,1.616333
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-1878.4999999999932,216.368,0.8755417
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\ No newline at end of file
diff --git a/pyleoclim/tests/conftest.py b/pyleoclim/tests/conftest.py
index cf88e957..16838968 100644
--- a/pyleoclim/tests/conftest.py
+++ b/pyleoclim/tests/conftest.py
@@ -41,3 +41,13 @@ def unevenly_spaced_series():
     v = np.ones(length)
     series = pyleo.Series(t,v)
     return series
+
+@pytest.fixture
+def evenly_spaced_series():
+    """Pyleoclim series with evenly spaced time axis"""
+    length = 10
+    t = np.linspace(1,length,length) ** 2
+    v = np.cos(2*np.pi*t/10)
+    series = pyleo.Series(time=t, value=v)
+    series.label = 'cosine'
+    return series
diff --git a/pyleoclim/tests/series.csv b/pyleoclim/tests/series.csv
deleted file mode 100644
index f1e91278..00000000
--- a/pyleoclim/tests/series.csv
+++ /dev/null
@@ -1,1610 +0,0 @@
-###,Series metadata
-written by,Pyleoclim 1.0.0b0
-time_unit,year C.E.
-time_name,time
-value_unit,$^{\circ}$C
-value_name,NINO3
-label,
-lat,
-lon,
-archiveType,
-importedFrom,
-log,"({0: 'clean_ts', 'applied': True, 'verbose': False},)"
-###,end metadata
-time [year C.E.],NINO3 [$^{\circ}$C]
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-1988.999999999893,-1.299349
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-2003.4166666665465,-0.2685696
-2003.4999999998795,0.1682665
-2003.5833333332127,0.2384973
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diff --git a/pyleoclim/tests/test_core_Series.py b/pyleoclim/tests/test_core_Series.py
index 51f5d67e..2d809c1e 100644
--- a/pyleoclim/tests/test_core_Series.py
+++ b/pyleoclim/tests/test_core_Series.py
@@ -20,7 +20,7 @@
 import pytest
 #import scipy.io as sio
 import sys#, json
-#import os
+import os
 import pathlib
 test_dirpath = pathlib.Path(__file__).parent.absolute()
 
@@ -62,14 +62,19 @@ def gen_normal(loc=0, scale=1, nt=100):
 
 # Tests below
 
-class TestUiSeriesIO:
-    ''' Test Series    import from and export to other formats    
+
+class TestSeriesIO:
+    ''' Test Series import from and export to other formats    
     '''
-    def test_csv(self):
-        ts1 = pyleo.utils.load_dataset('nino3')
+    @pytest.mark.parametrize('ds_name',['nino3','AACO2','LR04'])
+    def test_csv_roundtrip(self, ds_name):
+        ts1 = pyleo.utils.load_dataset(ds_name)
         ts1.to_csv()
-        ts2 = pyleo.Series.from_csv('series.csv')
+        filename = ts1.label.replace(" ", "_") + '.csv'
+        ts2 = pyleo.Series.from_csv(filename)
         assert ts1.equals(ts2)
+        #clean up file
+        os.unlink(filename)
 
 class TestUiSeriesMakeLabels:
     ''' Tests for Series.make_labels()
@@ -1040,3 +1045,48 @@ def test_resample_invalid(self, dataframe_dt, metadata):
             ts.resample('foo')
         with pytest.raises(ValueError, match='Invalid rule provided, got: 412'):
             ts.resample('412')
+
+class TestUISeriesEquals():
+    ''' Test for equals() method '''
+    @pytest.mark.parametrize('ds_name',['soi','nino3'])
+    def test_equals_t0(self, ds_name):
+        # test equality of data when true
+        ts1 = pyleo.utils.load_dataset('soi')
+        ts2 = pyleo.utils.load_dataset(ds_name)
+        
+        same_data, _ = ts1.equals(ts2)
+        if ds_name == 'soi':
+            assert same_data
+        else:
+            assert not same_data
+            
+    def test_equals_t1(self):
+        # test equality of metadata 
+        ts1 = pyleo.utils.load_dataset('soi')
+        ts2 = ts1.copy()
+        ts2.label = 'Counterfeit SOI' 
+        same_data, same_metadata = ts1.equals(ts2)
+        assert not same_metadata
+        
+    def test_equals_t2(self):
+        # test value tolerance
+        tol = 1e-3
+        ts1 = pyleo.utils.load_dataset('soi')
+        ts2 = ts1.copy()
+        ts2.value[0] = ts1.value[0]+tol
+        same_data, _ = ts1.equals(ts2, value_tol= 2*tol)   
+        assert same_data   
+        
+    def test_equals_t3(self):
+        # test index tolerance
+        soi = pyleo.utils.load_dataset('soi')
+        soi_pd = soi.to_pandas()
+        soi_pd.index = soi_pd.index + pd.DateOffset(1)
+        soi2 = pyleo.Series.from_pandas(soi_pd, soi.metadata)
+        same_data, _ = soi.equals(soi2, index_tol= 1.1*86400)  
+        
+        assert same_data       
+        
+        
+        
+        
\ No newline at end of file
diff --git a/pyleoclim/tests/test_core_SpatialDecomp.py b/pyleoclim/tests/test_core_SpatialDecomp.py
index 541658db..c5e6653d 100644
--- a/pyleoclim/tests/test_core_SpatialDecomp.py
+++ b/pyleoclim/tests/test_core_SpatialDecomp.py
@@ -17,6 +17,7 @@
 import pytest
 import pyleoclim as pyleo
 import numpy as np
+import matplotlib.pyplot as plt
 
 
 # Tests below
@@ -51,9 +52,10 @@ def test_plot_t0(self):
         
         fig, ax = res.screeplot()
         pyleo.closefig(fig)
+        plt.close()
         
         
-class TestUipatialDecompModeplot:
+class TestUiSpatialDecompModeplot:
     ''' Tests for SSARes.modeplot()
     '''
     @pytest.mark.parametrize('spec_method', ['mtm', 'welch', 'periodogram','cwt', 'wwz'])