diff --git a/.github/workflows/build-publish.yml b/.github/workflows/build-publish.yml
index fa431ed..0491f9d 100644
--- a/.github/workflows/build-publish.yml
+++ b/.github/workflows/build-publish.yml
@@ -1,6 +1,13 @@
name: Ubuntu and Mac builds
-on: push
+on:
+ # Triggers the workflow on push or pull request events but only for the master branch
+ push:
+ branches: [ master ]
+ pull_request:
+ branches: [ master ]
+ # Allows you to run this workflow manually from the Actions tab
+ workflow_dispatch:
jobs:
diff --git a/Development.md b/Development.md
index 9d8b950..bfed538 100644
--- a/Development.md
+++ b/Development.md
@@ -2,7 +2,14 @@
## Deployment
-
+1. update libgeoda/
+2. ./swig.sh
+3. add test cases in pygeoda
+4. add modules in pygeoda
+5. local dev and test
+6. pr
+
+**deprecated**
Pygeoda for windows is built using Appveyor (see: appveyor.yml)
NOTE:
@@ -17,6 +24,13 @@ python 3.9.1 msc 1928 visual c++ 2019 msvc14.2 (vs2019)
Pygeoda for Linux and Mac OSX is built using Travis (see .travis.yml)
+## Sphinx Doc
+
+1. use venv
+2. pip install -U sphinx
+3. pip install matplotlib
+4. goto docsrc/
+5. make github
## conda-forge
diff --git a/docs/.buildinfo b/docs/.buildinfo
index d28a461..e80815d 100644
--- a/docs/.buildinfo
+++ b/docs/.buildinfo
@@ -1,4 +1,4 @@
# Sphinx build info version 1
# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done.
-config: f81dad4fd49662bef891df983718dbfc
+config: c751da21c461f4a565c82a6424ddecea
tags: 645f666f9bcd5a90fca523b33c5a78b7
diff --git a/docs/_modules/index.html b/docs/_modules/index.html
index 8fd65b7..78affd7 100644
--- a/docs/_modules/index.html
+++ b/docs/_modules/index.html
@@ -7,12 +7,14 @@
- Overview: module code — pygeoda 0.0.8 rc documentation
+ Overview: module code — pygeoda 0.0.8 documentation
+
+
@@ -31,6 +33,7 @@
+
@@ -84,7 +87,7 @@
-
[docs]defazp_greedy(p,w,data,**kwargs):
- ''' A greedy algorithm to solve the AZP problem
-
+ ''' A greedy algorithm to solve the AZP problem
+ Note: The automatic zoning procedure (AZP) was initially outlined in Openshaw (1977) as a way to address some of the consequences of the modifiable areal unit problem (MAUP). In essence, it consists of a heuristic to find the best set of combinations of contiguous spatial units into p regions, minimizing the within sum of squares as a criterion of homogeneity. The number of regions needs to be specified beforehand.
@@ -565,7 +527,7 @@
[docs]defskater(k,w,data,**kwargs):''' Spatial C(K)luster Analysis by Tree Edge Removal SKATER forms clusters by spatially partitioning data that has similar values for features of interest.
@@ -384,7 +350,7 @@
+__author__="Xun Li <lixun910@gmail.com>"
+
+from..libgeodaimportgda_spatialvalidation,gda_all_joincount_ratio,gda_makespatial
+
+
[docs]classDiameter:
+ """Diameter Measure
+
+ Attributes:
+ steps (int): the longest shortest distance between any pairs
+ ratio (float): the ratio of number of steps to the number of elements in the cluster
+ """
+
[docs]def__init__(self,diam):
+ """Constructor of Diameter
+
+ Args:
+ diam (Object): An object/pointer of libgeoda Diameter class
+ """
+ self.steps=diam.steps
+ self.ratio=diam.ratio
[docs]classCompactness:
+ """Compactness Measure
+
+ Attributes:
+ area (float): the area of a cluster. If points, the convex hull is used to compute
+ the area.
+ perimeter (float): the perimeter of a cluster. If points, the convex hull is used
+ to compute the perimeter
+ isoperimeter_quotient (float): (4 * pi * area) / (perimeter^2)
+ """
+
[docs]def__init__(self,comp):
+ """Constructor of Compactness
+
+ Args:
+ comp (Object): An object/pointer of libgeoda Compactness class
+ """
+ self.area=comp.area
+ self.perimeter=comp.perimeter
+ self.isoperimeter_quotient=comp.isoperimeter_quotient
[docs]classJoinCountRatio:
+ """Join Count Ratio
+
+ Join count ratio is the join counts, the number of times a category is surrounded
+ by neighbors of the same category, over the total number of neighbors after converting
+ each category to a dummy variable.
+
+ Attributes:
+ n (int): the number of elements in a cluster
+ neighbors (int): the total number of neighbors of elements in a cluster
+ join_count (int): the total join count of elements in a cluster
+ ratio (float): the ratio of total join count over total neighbors
+ """
+
[docs]def__init__(self,jcr):
+ """Constructor of JoinCountRatio
+
+ Args:
+ jcr (Object): An object/pointer of libgeoda JoinCountRatio class
+ """
+ self.n=jcr.n
+ self.neighbors=jcr.totalNeighbors
+ self.join_count=jcr.totalJoinCount
+ self.ratio=jcr.ratio
[docs]classFragmentation:
+ """
+ Fragmentation measure of spatial validation
+
+ Attributes:
+ n (int): number of elements in clusters
+ entropy (float): entropy measure for fraction of observations in each cluster
+ std_entropy (float): standardized entropy measure
+ simpson (float): simpson's index is a measure of diversity in each cluster
+ std_simpson (float): standardized simpson measure
+ """
+
[docs]classValidationResult:
+ """
+ Spatial Validation Result
+
+ Attributes:
+ spatially_constrained (bool): indicate if the clusters are
+ n (int): number of clusters
+ joincount_ratio (JoinCountRatio): a list of JoinCountRatio objects
+ fragmantation (Fragmentation): an object of Fragmentation
+ cluster_fragmentation (Fragmentation): a list of Fragmentation objects, or None for spatially constrained clusters
+ compactness (Compactness): a list of Compactness objects, or None for non-spatially constrained clusters
+ diameter (Diameter): a list of Diameter objects, or None for non-spatially constrained clusters
+ """
+
[docs]defspatial_validation(geoda_obj,clusters,w):
+ """Spatial Validation
+ Spatial validation provides a collection of validation measures including
+ (1) fragmentations (entropy, simpson), (2) join count ratio, (3) compactness
+ - isoperimeter quotient and (4) diameter.
+
+ Args:
+ geoda_obj (geoda): An instance of Geoda object
+ clusters (list): A cluster classification variable (categorical values
+ from a dataframe or values returned from cluster functions)
+ w (Weight): An instance of Weight class.
+
+ Returns:
+ ValidationResult: An instance of ValidationResult including fragmentation, join count ratio,
+ compactness, and diameter
+ """
+ ifwisNone:
+ raiseValueError("Weights is None.")
+
+ ifw.num_obs!=len(clusters):
+ raiseValueError("The size of data doesnt not match the number of observations.")
+
+ result=gda_spatialvalidation(geoda_obj.gda,clusters,w.gda_w)
+
+ returnValidationResult(result)
+
+
[docs]defmake_spatial(clusters,w):
+ """Make spatially constrained clusters
+ Make spatially constrained clusters from non-spatially constrained clusters
+
+ Args:
+ clusters (list): A cluster classification variable (categorical values
+ from a dataframe or values returned from cluster functions, e.g. kmeans)
+ w (Weight): An instance of Weight class.
+
+ Returns:
+ result (list): A new categorical values represent spatially constrained clusters
+ """
+ ifwisNone:
+ raiseValueError("Weights is None.")
+
+ ifw.num_obs!=len(clusters):
+ raiseValueError("The size of data doesnt not match the number of observations.")
+
+ result=gda_makespatial(list(clusters),w.gda_w)
+
+ returnresult
-from..libgeodaimportgda_localmoran,VecBool,gda_batchlocalmoran,VecVecBool,gda_localmoran_eb
+from..libgeodaimportgda_localmoran,gda_bi_localmoran,VecBool,gda_batchlocalmoran,VecVecBool,gda_localmoran_ebfrom.lisaimportlisa,batchlisa
-importmultiprocessing__author__="Xun Li <lixun910@gmail.com>"
[docs]deflocal_moran(w,data,**kwargs):
- """The function to apply local Moran statistics.
+ """Local Moran statistics. Args: w (Weight): An instance of Weight class.
@@ -320,6 +345,40 @@
[docs]deflocal_bimoran(w,data1,data2,**kwargs):
+ """Bivariate local Moran statistics.
+ The bivariate Local Moran’s I captures the relationship between the value for one variable at location i, and the average of the neighboring values for another variable.
+
+ Args:
+ w (Weight): An instance of Weight class.
+ data1 (tuple/list/pandas.Series): A tuple of numeric values of first variable
+ data1 (tuple/list/pandas.Series): A tuple of numeric values of second variable
+ undefs (tuple/list, optional): A tuple of boolean values to indicate which value is undefined or null
+ permutations (int, optional): The number of permutations for the LISA computation
+ permutation_method (str, optional): The permutation method used for the LISA computation. Options are {'complete', 'lookup-table'}. Default is 'complete'.
+ significance_cutoff (float, optional): A cutoff value for significance p-values to filter not-significant clusters
+ cpu_threads (int, optional): The number of cpu threads used for parallel LISA computation
+ seed (int, optional): The seed for random number generator
+
+ Returns:
+ lisa: An instance of lisa class represents the results of lisa computation
+ """
+ ifw==None:
+ raiseValueError("Weights is None.")
+
+ ifw.num_obs!=len(data1)orlen(data1)!=len(data2):
+ raiseValueError("The size of data doesnt not match the number of observations.")
+
+ undefs=VecBool()if'undefs'notinkwargselsekwargs['undefs']
+ significance_cutoff=0.05if'significance_cutoff'notinkwargselsekwargs['significance_cutoff']
+ permutations=999if'permutations'notinkwargselsekwargs['permutations']
+ permutation_method='complete'if'permutation_method'notinkwargselsekwargs['permutation_method']
+ cpu_threads=6if'cpu_threads'notinkwargselsekwargs['cpu_threads']
+ seed=123456789if'seed'notinkwargselsekwargs['seed']
+
+ lisa_obj=gda_bi_localmoran(w.gda_w,list(data1),list(data2),list(undefs),significance_cutoff,cpu_threads,permutations,permutation_method,seed)
+ returnlisa(lisa_obj)
+
deflocal_moran_eb(w,event_data,base_data,**kwargs):"""The function to apply local Moran with EB Rate statistics. The EB rate is first computed from "event" and "base" variables, and then used in local moran statistics.
@@ -437,7 +496,7 @@
-from..libgeodaimportVecInt64
+from..libgeodaimportGeoDa,VecInt,VecInt64,gda_load_gal,gda_load_gwt,gda_load_swm,GeoDaWeight__author__="Xun Li <lixun910@gmail.com>"
@@ -463,6 +429,85 @@
Source code for pygeoda.weights.weight
info+='{0:>24}{1:>20}\n'.format("# median neighbors:",self.median_neighbors())info+='{0:>24}{1:>20}\n'.format("has isolates:","True"ifself.has_isolates()else"False")returninfo
+
+defread_gal(file_path,id_vec):
+ """Read GAL Weights
+ Create a spatial weights object from a .GAL file
+
+ Args:
+ file_path (str): The file paht of the .GAL file
+ id_vec (tuple): The id values used in the .GAL file. e.g. [1,2,3,4,...]
+
+ Returns:
+ Weight: An instance of Weight class
+ """
+
+ f=open(file_path)
+ first_line=f.readline()
+
+ items=first_line.split(" ")
+
+ iflen(items)<1:
+ raiseValueError("The content of weights file is not correct.")
+
+ num_obs=int(items[1])
+
+ iflen(id_vec)!=num_obs:
+ raiseValueError("The id_vec size does not match the number of observations in weights file.")
+
+ gda_w=gda_load_gal(file_path,id_vec)
+
+ returnWeight(gda_w)
+
+defread_gwt(file_path,id_vec):
+ """Read GWT Weights
+ Create a spatial weights object from a .GWT file
+
+ Args:
+ file_path (str): The file paht of the .GAL file
+ id_vec (tuple): The id values used in the .GAL file. e.g. [1,2,3,4,...]
+
+ Returns:
+ Weight: An instance of Weight class
+ """
+
+ f=open(file_path)
+ first_line=f.readline()
+
+ items=first_line.split(" ")
+
+ iflen(items)<1:
+ raiseValueError("The content of weights file is not correct.")
+
+ num_obs=int(items[1])
+
+ iflen(id_vec)!=num_obs:
+ raiseValueError("The id_vec size does not match the number of observations in weights file.")
+
+ gda_w=gda_load_gwt(file_path,id_vec)
+
+ returnWeight(gda_w)
+
+defread_swm(file_path,**kwargs):
+ """Read SWM Weights
+ Create a spatial weights object from a .swm file
+
+ Args:
+ file_path (str): The file paht of the .swm file
+ id_vec (tuple): The id values used in the .sfile. e.g. [1,2,3,4,...] (optional)
+
+ Returns:
+ Weight: An instance of Weight class
+ """
+
+ id_vec=[]if'id_vec'notinkwargselsekwargs['id_vec']
+
+ ifnotall(isinstance(x,int)forxinid_vec):
+ raiseValueError("The values of id_vec has to be integer type.")
+
+ gda_w=gda_load_swm(file_path,VecInt(id_vec))
+
+ returnWeight(gda_w)
@@ -512,7 +557,7 @@
Source code for pygeoda.weights.weight
m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m)
})(window,document,'script','https://www.google-analytics.com/analytics.js','ga');
- ga('create', 'UA-XXXXXXX-1', 'auto');
+ ga('create', 'UA-182260526-2', 'auto');
ga('send', 'pageview');
diff --git a/docs/_sources/api.rst.txt b/docs/_sources/api.rst.txt
index 8c8887b..94149a1 100644
--- a/docs/_sources/api.rst.txt
+++ b/docs/_sources/api.rst.txt
@@ -39,6 +39,7 @@ pygeoda (LISA)
pygeoda.lisa
pygeoda.local_moran
+ pygeoda.local_bimoran
pygeoda.local_geary
pygeoda.local_multigeary
pygeoda.local_joincount
@@ -68,6 +69,13 @@ pygeoda (spatial clustering)
pygeoda.maxp_greedy
pygeoda.maxp_sa
pygeoda.maxp_tabu
+ pygeoda.spatial_validation
+ pygeoda.Fragmentation
+ pygeoda.Diameter
+ pygeoda.Compactness
+ pygeoda.JoinCountRatio
+ pygeoda.ValidationResult
+ pygeoda.make_spatial
pygeoda (classify)
diff --git a/docs/_sources/generated/pygeoda.Compactness.rst.txt b/docs/_sources/generated/pygeoda.Compactness.rst.txt
new file mode 100644
index 0000000..184767d
--- /dev/null
+++ b/docs/_sources/generated/pygeoda.Compactness.rst.txt
@@ -0,0 +1,22 @@
+pygeoda.Compactness
+===================
+
+.. currentmodule:: pygeoda
+
+.. autoclass:: Compactness
+
+
+ .. automethod:: __init__
+
+
+ .. rubric:: Methods
+
+ .. autosummary::
+
+ ~Compactness.__init__
+
+
+
+
+
+
\ No newline at end of file
diff --git a/docs/_sources/generated/pygeoda.Diameter.rst.txt b/docs/_sources/generated/pygeoda.Diameter.rst.txt
new file mode 100644
index 0000000..c7d4bab
--- /dev/null
+++ b/docs/_sources/generated/pygeoda.Diameter.rst.txt
@@ -0,0 +1,22 @@
+pygeoda.Diameter
+================
+
+.. currentmodule:: pygeoda
+
+.. autoclass:: Diameter
+
+
+ .. automethod:: __init__
+
+
+ .. rubric:: Methods
+
+ .. autosummary::
+
+ ~Diameter.__init__
+
+
+
+
+
+
\ No newline at end of file
diff --git a/docs/_sources/generated/pygeoda.Fragmentation.rst.txt b/docs/_sources/generated/pygeoda.Fragmentation.rst.txt
new file mode 100644
index 0000000..73229f2
--- /dev/null
+++ b/docs/_sources/generated/pygeoda.Fragmentation.rst.txt
@@ -0,0 +1,22 @@
+pygeoda.Fragmentation
+=====================
+
+.. currentmodule:: pygeoda
+
+.. autoclass:: Fragmentation
+
+
+ .. automethod:: __init__
+
+
+ .. rubric:: Methods
+
+ .. autosummary::
+
+ ~Fragmentation.__init__
+
+
+
+
+
+
\ No newline at end of file
diff --git a/docs/_sources/generated/pygeoda.JoinCountRatio.rst.txt b/docs/_sources/generated/pygeoda.JoinCountRatio.rst.txt
new file mode 100644
index 0000000..d1f3d2b
--- /dev/null
+++ b/docs/_sources/generated/pygeoda.JoinCountRatio.rst.txt
@@ -0,0 +1,22 @@
+pygeoda.JoinCountRatio
+======================
+
+.. currentmodule:: pygeoda
+
+.. autoclass:: JoinCountRatio
+
+
+ .. automethod:: __init__
+
+
+ .. rubric:: Methods
+
+ .. autosummary::
+
+ ~JoinCountRatio.__init__
+
+
+
+
+
+
\ No newline at end of file
diff --git a/docs/_sources/generated/pygeoda.ValidationResult.rst.txt b/docs/_sources/generated/pygeoda.ValidationResult.rst.txt
new file mode 100644
index 0000000..545d0cc
--- /dev/null
+++ b/docs/_sources/generated/pygeoda.ValidationResult.rst.txt
@@ -0,0 +1,22 @@
+pygeoda.ValidationResult
+========================
+
+.. currentmodule:: pygeoda
+
+.. autoclass:: ValidationResult
+
+
+ .. automethod:: __init__
+
+
+ .. rubric:: Methods
+
+ .. autosummary::
+
+ ~ValidationResult.__init__
+
+
+
+
+
+
\ No newline at end of file
diff --git a/docs/_sources/generated/pygeoda.local_bimoran.rst.txt b/docs/_sources/generated/pygeoda.local_bimoran.rst.txt
new file mode 100644
index 0000000..64f1785
--- /dev/null
+++ b/docs/_sources/generated/pygeoda.local_bimoran.rst.txt
@@ -0,0 +1,6 @@
+pygeoda.local\_bimoran
+======================
+
+.. currentmodule:: pygeoda
+
+.. autofunction:: local_bimoran
\ No newline at end of file
diff --git a/docs/_sources/generated/pygeoda.make_spatial.rst.txt b/docs/_sources/generated/pygeoda.make_spatial.rst.txt
new file mode 100644
index 0000000..2517ac0
--- /dev/null
+++ b/docs/_sources/generated/pygeoda.make_spatial.rst.txt
@@ -0,0 +1,6 @@
+pygeoda.make\_spatial
+=====================
+
+.. currentmodule:: pygeoda
+
+.. autofunction:: make_spatial
\ No newline at end of file
diff --git a/docs/_sources/generated/pygeoda.spatial_validation.rst.txt b/docs/_sources/generated/pygeoda.spatial_validation.rst.txt
new file mode 100644
index 0000000..b2049e9
--- /dev/null
+++ b/docs/_sources/generated/pygeoda.spatial_validation.rst.txt
@@ -0,0 +1,6 @@
+pygeoda.spatial\_validation
+===========================
+
+.. currentmodule:: pygeoda
+
+.. autofunction:: spatial_validation
\ No newline at end of file
diff --git a/docs/_sources/spatial_auto.rst.txt b/docs/_sources/spatial_auto.rst.txt
index 96cd0e9..25b7691 100644
--- a/docs/_sources/spatial_auto.rst.txt
+++ b/docs/_sources/spatial_auto.rst.txt
@@ -56,7 +56,7 @@ computation. The functions include:
* lisa_fdr(): Get the False Discovery Rate (FDR) in LISA.
* lisa_bo(): Get the False Discovery Rate (FDR) in LISA.
-For example, we can call the function `GetLISAValues()`
+For example, we can call the function `lisa_values()`
to get the values of local Moran:
::
@@ -380,10 +380,36 @@ and k=6 nearest neighbors in geographical space:
::
>>> data = guerry[['Crm_prs','Crm_prp','Litercy','Donatns','Infants','Suicids']]
- >>> nm = pygeoda.neighbor_match_test(guerry, data, 6)
+ >>> lm = pygeoda.neighbor_match_test(guerry, data, 6)
+ >>> lm
+ lisa object:
+ lisa_values(): [0.39266344763810573, 0.75613610603433934, -0.87851057571266755, ...]
+ lisa_pvalues(): [0.269, 0.021, 0.001, ...]
+ ...
+
+6.11 Bivariate Local Moran
+--------------------------
+
+The bivariate Local Moran’s I captures the relationship between the value for one variable at location i,
+and the average of the neighboring values for another variable.
+
+Please note this statistic needs to be interpreted with caution, since it ignores in-situ
+correlation between the two variables. The most meaningful application of the bivariate Local
+Moran statistic is comparing the same variable at two time periods.
+
+See: https://geodacenter.github.io/workbook/6c_local_multi/lab6c.html#bivariate-local-moran
+
+For example, to apply the Neighbor Match Test on 6 variables:
+'Crm_prs','Crm_prp','Litercy','Donatns','Infants','Suicids' in multi-attribute space
+and k=6 nearest neighbors in geographical space:
+::
+
+ >>> data1 = guerry['Crm_prs']
+ >>> data2 = guerry['Litercy']
+ >>> nm = pygeoda.local_bimoran(queen_w, data1, data2)
>>> nm
{'Cardinality': [2, 3, ...],
'Probability': [0.05263799873777295, 0.0037431465769082986, ...]
}
-`pygeoda.neighbor_match_test()` function returns a dict which has two keys "Cardinality" and "Probability".
+`pygeoda.neighbor_match_test()` function returns a dict which has two keys "Cardinality" and "Probability".
\ No newline at end of file
diff --git a/docs/_sources/spatial_clustering.rst.txt b/docs/_sources/spatial_clustering.rst.txt
index 4c48a14..bf01125 100644
--- a/docs/_sources/spatial_clustering.rst.txt
+++ b/docs/_sources/spatial_clustering.rst.txt
@@ -157,15 +157,15 @@ pygeoda provides three different heuristic algorithms to find an optimal solutio
7.3.1 AZP greedy
^^^^^^^^^^^^^^^^
-The original AZP heuristic is a local optimization procedure that cycles through
- a series of possible swaps between spatial units at the boundary of a set
- of regions. The process starts with an initial feasible solution, i.e.,
- a grouping of n spatial units into p contiguous regions. This initial
- solution can be constructed in several different ways. The initial
- solution must satisfy the contiguity constraints. For example, this
- can be accomplished by growing a set of contiguous regions from p
- randomly selected seed units by adding neighboring locations until
- the contiguity constraint can no longer be met.
+The original AZP heuristic is a local optimization procedure that cycles
+through a series of possible swaps between spatial units at the boundary of a set
+of regions. The process starts with an initial feasible solution, i.e.,
+a grouping of n spatial units into p contiguous regions. This initial
+solution can be constructed in several different ways. The initial
+solution must satisfy the contiguity constraints. For example, this
+can be accomplished by growing a set of contiguous regions from p
+randomly selected seed units by adding neighboring locations until
+the contiguity constraint can no longer be met.
::
>>> azp_clusters = pygeoda.azp_greedy(5, queen_w, data)
@@ -351,3 +351,57 @@ We can also increase the number of iterations for local search process by specif
NOTE: the max-p algorithm is very sensitive to the initial positions for constructing final solutions.
Therefore, the random seed, which is used to determine the initial positions, could be used
to execute several rounds of max-p algorithms for sensitive analysis.
+
+7.5 Validation
+--------------
+
+Spatial validation provides a collection of validation measures including
+(1) fragmentations (entropy, simpson), (2) join count ratio, (3) compactness
+(isoperimeter quotient) and (4) diameter.
+
+Fragmentation is a measure of spatial validation of clusters. It includes:
+
+ 1. entropy, which measures the fraction of observations in each cluster
+ 2. std_entropy, which is the standardized entropy measure
+ 3. simpson, which is a index for diversity measure in each cluster
+ 4. std_simpson, which is the standardized simpson measure
+
+For non-spatially constrained cluster, the validation also reports `cluster_fragmentation`,
+which is a list of Fragmentation objects for each cluster, or None for spatially
+constrained clusters.
+
+JoinCountRatio is measure of join counts (the number of times a category is surrounded by
+neighbors of the same category) over the total number of neighbors after converting each
+category to a dummy variable. It includes:
+
+ 1. neighbors, the total number of neighbors of elements in a cluster
+ 2. join_count, the total join count of elements in a cluster
+ 3. ratio: the ratio of total join count over total neighbors
+
+Compactness is a measure of isoperimeter quotient for each spatially constrained cluster.
+It includes:
+
+ 1. area, the area of a cluster. For points, the convex hull is used to compute the area.
+ 2. perimeter, the perimeter of a cluster. For points, the convex hull is used to compute the perimeter
+ 3. isoperimeter_quotient, (4 * pi * area) / (perimeter^2)
+
+Diameter is a measure of the longest shortest distance between any pairs in a cluster.
+It includes:
+
+ 1. steps, the longest shortest distance between any pairs
+ 2. ratio, the ratio of steps over the number of elements in the cluster
+
+
+For example:
+::
+
+ >>> skater_clusters = pygeoda.skater(6, queen_w, data)
+ >>> result = pygeoda.spatial_validation(guerry, skater_clusters['Clusters'], queen_w)
+ {'Spatially Constrained': True,
+ 'Join Count Ratio': [...],
+ 'All Join Count Ratio': [...],
+ 'Fragmentation': [...],
+ 'Cluster Fragmentation': None,
+ 'Compactness': [...],
+ 'Diameter': [...]
+ }
\ No newline at end of file
diff --git a/docs/_static/basic.css b/docs/_static/basic.css
index be19270..912859b 100644
--- a/docs/_static/basic.css
+++ b/docs/_static/basic.css
@@ -130,7 +130,7 @@ ul.search li a {
font-weight: bold;
}
-ul.search li div.context {
+ul.search li p.context {
color: #888;
margin: 2px 0 0 30px;
text-align: left;
@@ -277,25 +277,25 @@ p.rubric {
font-weight: bold;
}
-img.align-left, .figure.align-left, object.align-left {
+img.align-left, figure.align-left, .figure.align-left, object.align-left {
clear: left;
float: left;
margin-right: 1em;
}
-img.align-right, .figure.align-right, object.align-right {
+img.align-right, figure.align-right, .figure.align-right, object.align-right {
clear: right;
float: right;
margin-left: 1em;
}
-img.align-center, .figure.align-center, object.align-center {
+img.align-center, figure.align-center, .figure.align-center, object.align-center {
display: block;
margin-left: auto;
margin-right: auto;
}
-img.align-default, .figure.align-default {
+img.align-default, figure.align-default, .figure.align-default {
display: block;
margin-left: auto;
margin-right: auto;
@@ -319,7 +319,8 @@ img.align-default, .figure.align-default {
/* -- sidebars -------------------------------------------------------------- */
-div.sidebar {
+div.sidebar,
+aside.sidebar {
margin: 0 0 0.5em 1em;
border: 1px solid #ddb;
padding: 7px;
@@ -377,12 +378,14 @@ div.body p.centered {
/* -- content of sidebars/topics/admonitions -------------------------------- */
div.sidebar > :last-child,
+aside.sidebar > :last-child,
div.topic > :last-child,
div.admonition > :last-child {
margin-bottom: 0;
}
div.sidebar::after,
+aside.sidebar::after,
div.topic::after,
div.admonition::after,
blockquote::after {
@@ -455,20 +458,22 @@ td > :last-child {
/* -- figures --------------------------------------------------------------- */
-div.figure {
+div.figure, figure {
margin: 0.5em;
padding: 0.5em;
}
-div.figure p.caption {
+div.figure p.caption, figcaption {
padding: 0.3em;
}
-div.figure p.caption span.caption-number {
+div.figure p.caption span.caption-number,
+figcaption span.caption-number {
font-style: italic;
}
-div.figure p.caption span.caption-text {
+div.figure p.caption span.caption-text,
+figcaption span.caption-text {
}
/* -- field list styles ----------------------------------------------------- */
@@ -503,6 +508,63 @@ table.hlist td {
vertical-align: top;
}
+/* -- object description styles --------------------------------------------- */
+
+.sig {
+ font-family: 'Consolas', 'Menlo', 'DejaVu Sans Mono', 'Bitstream Vera Sans Mono', monospace;
+}
+
+.sig-name, code.descname {
+ background-color: transparent;
+ font-weight: bold;
+}
+
+.sig-name {
+ font-size: 1.1em;
+}
+
+code.descname {
+ font-size: 1.2em;
+}
+
+.sig-prename, code.descclassname {
+ background-color: transparent;
+}
+
+.optional {
+ font-size: 1.3em;
+}
+
+.sig-paren {
+ font-size: larger;
+}
+
+.sig-param.n {
+ font-style: italic;
+}
+
+/* C++ specific styling */
+
+.sig-inline.c-texpr,
+.sig-inline.cpp-texpr {
+ font-family: unset;
+}
+
+.sig.c .k, .sig.c .kt,
+.sig.cpp .k, .sig.cpp .kt {
+ color: #0033B3;
+}
+
+.sig.c .m,
+.sig.cpp .m {
+ color: #1750EB;
+}
+
+.sig.c .s, .sig.c .sc,
+.sig.cpp .s, .sig.cpp .sc {
+ color: #067D17;
+}
+
/* -- other body styles ----------------------------------------------------- */
@@ -629,14 +691,6 @@ dl.glossary dt {
font-size: 1.1em;
}
-.optional {
- font-size: 1.3em;
-}
-
-.sig-paren {
- font-size: larger;
-}
-
.versionmodified {
font-style: italic;
}
@@ -765,8 +819,12 @@ div.code-block-caption code {
table.highlighttable td.linenos,
span.linenos,
-div.doctest > div.highlight span.gp { /* gp: Generic.Prompt */
- user-select: none;
+div.highlight span.gp { /* gp: Generic.Prompt */
+ user-select: none;
+ -webkit-user-select: text; /* Safari fallback only */
+ -webkit-user-select: none; /* Chrome/Safari */
+ -moz-user-select: none; /* Firefox */
+ -ms-user-select: none; /* IE10+ */
}
div.code-block-caption span.caption-number {
@@ -781,16 +839,6 @@ div.literal-block-wrapper {
margin: 1em 0;
}
-code.descname {
- background-color: transparent;
- font-weight: bold;
- font-size: 1.2em;
-}
-
-code.descclassname {
- background-color: transparent;
-}
-
code.xref, a code {
background-color: transparent;
font-weight: bold;
diff --git a/docs/_static/doctools.js b/docs/_static/doctools.js
index 61ac9d2..8cbf1b1 100644
--- a/docs/_static/doctools.js
+++ b/docs/_static/doctools.js
@@ -301,12 +301,14 @@ var Documentation = {
window.location.href = prevHref;
return false;
}
+ break;
case 39: // right
var nextHref = $('link[rel="next"]').prop('href');
if (nextHref) {
window.location.href = nextHref;
return false;
}
+ break;
}
}
});
diff --git a/docs/_static/documentation_options.js b/docs/_static/documentation_options.js
index b9db578..b86f47b 100644
--- a/docs/_static/documentation_options.js
+++ b/docs/_static/documentation_options.js
@@ -1,6 +1,6 @@
var DOCUMENTATION_OPTIONS = {
URL_ROOT: document.getElementById("documentation_options").getAttribute('data-url_root'),
- VERSION: '0.0.8 rc',
+ VERSION: '0.0.8',
LANGUAGE: 'None',
COLLAPSE_INDEX: false,
BUILDER: 'html',
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new file mode 100644
index 0000000..855c845
--- /dev/null
+++ b/docs/_static/fonts/fontawesome-webfont.svg
@@ -0,0 +1,2671 @@
+
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new file mode 100644
index 0000000..f65d479
--- /dev/null
+++ b/docs/_static/js/modernizr.min.js
@@ -0,0 +1,4 @@
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diff --git a/docs/_static/underscore-1.13.1.js b/docs/_static/underscore-1.13.1.js
new file mode 100644
index 0000000..ffd77af
--- /dev/null
+++ b/docs/_static/underscore-1.13.1.js
@@ -0,0 +1,2042 @@
+(function (global, factory) {
+ typeof exports === 'object' && typeof module !== 'undefined' ? module.exports = factory() :
+ typeof define === 'function' && define.amd ? define('underscore', factory) :
+ (global = typeof globalThis !== 'undefined' ? globalThis : global || self, (function () {
+ var current = global._;
+ var exports = global._ = factory();
+ exports.noConflict = function () { global._ = current; return exports; };
+ }()));
+}(this, (function () {
+ // Underscore.js 1.13.1
+ // https://underscorejs.org
+ // (c) 2009-2021 Jeremy Ashkenas, Julian Gonggrijp, and DocumentCloud and Investigative Reporters & Editors
+ // Underscore may be freely distributed under the MIT license.
+
+ // Current version.
+ var VERSION = '1.13.1';
+
+ // Establish the root object, `window` (`self`) in the browser, `global`
+ // on the server, or `this` in some virtual machines. We use `self`
+ // instead of `window` for `WebWorker` support.
+ var root = typeof self == 'object' && self.self === self && self ||
+ typeof global == 'object' && global.global === global && global ||
+ Function('return this')() ||
+ {};
+
+ // Save bytes in the minified (but not gzipped) version:
+ var ArrayProto = Array.prototype, ObjProto = Object.prototype;
+ var SymbolProto = typeof Symbol !== 'undefined' ? Symbol.prototype : null;
+
+ // Create quick reference variables for speed access to core prototypes.
+ var push = ArrayProto.push,
+ slice = ArrayProto.slice,
+ toString = ObjProto.toString,
+ hasOwnProperty = ObjProto.hasOwnProperty;
+
+ // Modern feature detection.
+ var supportsArrayBuffer = typeof ArrayBuffer !== 'undefined',
+ supportsDataView = typeof DataView !== 'undefined';
+
+ // All **ECMAScript 5+** native function implementations that we hope to use
+ // are declared here.
+ var nativeIsArray = Array.isArray,
+ nativeKeys = Object.keys,
+ nativeCreate = Object.create,
+ nativeIsView = supportsArrayBuffer && ArrayBuffer.isView;
+
+ // Create references to these builtin functions because we override them.
+ var _isNaN = isNaN,
+ _isFinite = isFinite;
+
+ // Keys in IE < 9 that won't be iterated by `for key in ...` and thus missed.
+ var hasEnumBug = !{toString: null}.propertyIsEnumerable('toString');
+ var nonEnumerableProps = ['valueOf', 'isPrototypeOf', 'toString',
+ 'propertyIsEnumerable', 'hasOwnProperty', 'toLocaleString'];
+
+ // The largest integer that can be represented exactly.
+ var MAX_ARRAY_INDEX = Math.pow(2, 53) - 1;
+
+ // Some functions take a variable number of arguments, or a few expected
+ // arguments at the beginning and then a variable number of values to operate
+ // on. This helper accumulates all remaining arguments past the function’s
+ // argument length (or an explicit `startIndex`), into an array that becomes
+ // the last argument. Similar to ES6’s "rest parameter".
+ function restArguments(func, startIndex) {
+ startIndex = startIndex == null ? func.length - 1 : +startIndex;
+ return function() {
+ var length = Math.max(arguments.length - startIndex, 0),
+ rest = Array(length),
+ index = 0;
+ for (; index < length; index++) {
+ rest[index] = arguments[index + startIndex];
+ }
+ switch (startIndex) {
+ case 0: return func.call(this, rest);
+ case 1: return func.call(this, arguments[0], rest);
+ case 2: return func.call(this, arguments[0], arguments[1], rest);
+ }
+ var args = Array(startIndex + 1);
+ for (index = 0; index < startIndex; index++) {
+ args[index] = arguments[index];
+ }
+ args[startIndex] = rest;
+ return func.apply(this, args);
+ };
+ }
+
+ // Is a given variable an object?
+ function isObject(obj) {
+ var type = typeof obj;
+ return type === 'function' || type === 'object' && !!obj;
+ }
+
+ // Is a given value equal to null?
+ function isNull(obj) {
+ return obj === null;
+ }
+
+ // Is a given variable undefined?
+ function isUndefined(obj) {
+ return obj === void 0;
+ }
+
+ // Is a given value a boolean?
+ function isBoolean(obj) {
+ return obj === true || obj === false || toString.call(obj) === '[object Boolean]';
+ }
+
+ // Is a given value a DOM element?
+ function isElement(obj) {
+ return !!(obj && obj.nodeType === 1);
+ }
+
+ // Internal function for creating a `toString`-based type tester.
+ function tagTester(name) {
+ var tag = '[object ' + name + ']';
+ return function(obj) {
+ return toString.call(obj) === tag;
+ };
+ }
+
+ var isString = tagTester('String');
+
+ var isNumber = tagTester('Number');
+
+ var isDate = tagTester('Date');
+
+ var isRegExp = tagTester('RegExp');
+
+ var isError = tagTester('Error');
+
+ var isSymbol = tagTester('Symbol');
+
+ var isArrayBuffer = tagTester('ArrayBuffer');
+
+ var isFunction = tagTester('Function');
+
+ // Optimize `isFunction` if appropriate. Work around some `typeof` bugs in old
+ // v8, IE 11 (#1621), Safari 8 (#1929), and PhantomJS (#2236).
+ var nodelist = root.document && root.document.childNodes;
+ if (typeof /./ != 'function' && typeof Int8Array != 'object' && typeof nodelist != 'function') {
+ isFunction = function(obj) {
+ return typeof obj == 'function' || false;
+ };
+ }
+
+ var isFunction$1 = isFunction;
+
+ var hasObjectTag = tagTester('Object');
+
+ // In IE 10 - Edge 13, `DataView` has string tag `'[object Object]'`.
+ // In IE 11, the most common among them, this problem also applies to
+ // `Map`, `WeakMap` and `Set`.
+ var hasStringTagBug = (
+ supportsDataView && hasObjectTag(new DataView(new ArrayBuffer(8)))
+ ),
+ isIE11 = (typeof Map !== 'undefined' && hasObjectTag(new Map));
+
+ var isDataView = tagTester('DataView');
+
+ // In IE 10 - Edge 13, we need a different heuristic
+ // to determine whether an object is a `DataView`.
+ function ie10IsDataView(obj) {
+ return obj != null && isFunction$1(obj.getInt8) && isArrayBuffer(obj.buffer);
+ }
+
+ var isDataView$1 = (hasStringTagBug ? ie10IsDataView : isDataView);
+
+ // Is a given value an array?
+ // Delegates to ECMA5's native `Array.isArray`.
+ var isArray = nativeIsArray || tagTester('Array');
+
+ // Internal function to check whether `key` is an own property name of `obj`.
+ function has$1(obj, key) {
+ return obj != null && hasOwnProperty.call(obj, key);
+ }
+
+ var isArguments = tagTester('Arguments');
+
+ // Define a fallback version of the method in browsers (ahem, IE < 9), where
+ // there isn't any inspectable "Arguments" type.
+ (function() {
+ if (!isArguments(arguments)) {
+ isArguments = function(obj) {
+ return has$1(obj, 'callee');
+ };
+ }
+ }());
+
+ var isArguments$1 = isArguments;
+
+ // Is a given object a finite number?
+ function isFinite$1(obj) {
+ return !isSymbol(obj) && _isFinite(obj) && !isNaN(parseFloat(obj));
+ }
+
+ // Is the given value `NaN`?
+ function isNaN$1(obj) {
+ return isNumber(obj) && _isNaN(obj);
+ }
+
+ // Predicate-generating function. Often useful outside of Underscore.
+ function constant(value) {
+ return function() {
+ return value;
+ };
+ }
+
+ // Common internal logic for `isArrayLike` and `isBufferLike`.
+ function createSizePropertyCheck(getSizeProperty) {
+ return function(collection) {
+ var sizeProperty = getSizeProperty(collection);
+ return typeof sizeProperty == 'number' && sizeProperty >= 0 && sizeProperty <= MAX_ARRAY_INDEX;
+ }
+ }
+
+ // Internal helper to generate a function to obtain property `key` from `obj`.
+ function shallowProperty(key) {
+ return function(obj) {
+ return obj == null ? void 0 : obj[key];
+ };
+ }
+
+ // Internal helper to obtain the `byteLength` property of an object.
+ var getByteLength = shallowProperty('byteLength');
+
+ // Internal helper to determine whether we should spend extensive checks against
+ // `ArrayBuffer` et al.
+ var isBufferLike = createSizePropertyCheck(getByteLength);
+
+ // Is a given value a typed array?
+ var typedArrayPattern = /\[object ((I|Ui)nt(8|16|32)|Float(32|64)|Uint8Clamped|Big(I|Ui)nt64)Array\]/;
+ function isTypedArray(obj) {
+ // `ArrayBuffer.isView` is the most future-proof, so use it when available.
+ // Otherwise, fall back on the above regular expression.
+ return nativeIsView ? (nativeIsView(obj) && !isDataView$1(obj)) :
+ isBufferLike(obj) && typedArrayPattern.test(toString.call(obj));
+ }
+
+ var isTypedArray$1 = supportsArrayBuffer ? isTypedArray : constant(false);
+
+ // Internal helper to obtain the `length` property of an object.
+ var getLength = shallowProperty('length');
+
+ // Internal helper to create a simple lookup structure.
+ // `collectNonEnumProps` used to depend on `_.contains`, but this led to
+ // circular imports. `emulatedSet` is a one-off solution that only works for
+ // arrays of strings.
+ function emulatedSet(keys) {
+ var hash = {};
+ for (var l = keys.length, i = 0; i < l; ++i) hash[keys[i]] = true;
+ return {
+ contains: function(key) { return hash[key]; },
+ push: function(key) {
+ hash[key] = true;
+ return keys.push(key);
+ }
+ };
+ }
+
+ // Internal helper. Checks `keys` for the presence of keys in IE < 9 that won't
+ // be iterated by `for key in ...` and thus missed. Extends `keys` in place if
+ // needed.
+ function collectNonEnumProps(obj, keys) {
+ keys = emulatedSet(keys);
+ var nonEnumIdx = nonEnumerableProps.length;
+ var constructor = obj.constructor;
+ var proto = isFunction$1(constructor) && constructor.prototype || ObjProto;
+
+ // Constructor is a special case.
+ var prop = 'constructor';
+ if (has$1(obj, prop) && !keys.contains(prop)) keys.push(prop);
+
+ while (nonEnumIdx--) {
+ prop = nonEnumerableProps[nonEnumIdx];
+ if (prop in obj && obj[prop] !== proto[prop] && !keys.contains(prop)) {
+ keys.push(prop);
+ }
+ }
+ }
+
+ // Retrieve the names of an object's own properties.
+ // Delegates to **ECMAScript 5**'s native `Object.keys`.
+ function keys(obj) {
+ if (!isObject(obj)) return [];
+ if (nativeKeys) return nativeKeys(obj);
+ var keys = [];
+ for (var key in obj) if (has$1(obj, key)) keys.push(key);
+ // Ahem, IE < 9.
+ if (hasEnumBug) collectNonEnumProps(obj, keys);
+ return keys;
+ }
+
+ // Is a given array, string, or object empty?
+ // An "empty" object has no enumerable own-properties.
+ function isEmpty(obj) {
+ if (obj == null) return true;
+ // Skip the more expensive `toString`-based type checks if `obj` has no
+ // `.length`.
+ var length = getLength(obj);
+ if (typeof length == 'number' && (
+ isArray(obj) || isString(obj) || isArguments$1(obj)
+ )) return length === 0;
+ return getLength(keys(obj)) === 0;
+ }
+
+ // Returns whether an object has a given set of `key:value` pairs.
+ function isMatch(object, attrs) {
+ var _keys = keys(attrs), length = _keys.length;
+ if (object == null) return !length;
+ var obj = Object(object);
+ for (var i = 0; i < length; i++) {
+ var key = _keys[i];
+ if (attrs[key] !== obj[key] || !(key in obj)) return false;
+ }
+ return true;
+ }
+
+ // If Underscore is called as a function, it returns a wrapped object that can
+ // be used OO-style. This wrapper holds altered versions of all functions added
+ // through `_.mixin`. Wrapped objects may be chained.
+ function _$1(obj) {
+ if (obj instanceof _$1) return obj;
+ if (!(this instanceof _$1)) return new _$1(obj);
+ this._wrapped = obj;
+ }
+
+ _$1.VERSION = VERSION;
+
+ // Extracts the result from a wrapped and chained object.
+ _$1.prototype.value = function() {
+ return this._wrapped;
+ };
+
+ // Provide unwrapping proxies for some methods used in engine operations
+ // such as arithmetic and JSON stringification.
+ _$1.prototype.valueOf = _$1.prototype.toJSON = _$1.prototype.value;
+
+ _$1.prototype.toString = function() {
+ return String(this._wrapped);
+ };
+
+ // Internal function to wrap or shallow-copy an ArrayBuffer,
+ // typed array or DataView to a new view, reusing the buffer.
+ function toBufferView(bufferSource) {
+ return new Uint8Array(
+ bufferSource.buffer || bufferSource,
+ bufferSource.byteOffset || 0,
+ getByteLength(bufferSource)
+ );
+ }
+
+ // We use this string twice, so give it a name for minification.
+ var tagDataView = '[object DataView]';
+
+ // Internal recursive comparison function for `_.isEqual`.
+ function eq(a, b, aStack, bStack) {
+ // Identical objects are equal. `0 === -0`, but they aren't identical.
+ // See the [Harmony `egal` proposal](https://wiki.ecmascript.org/doku.php?id=harmony:egal).
+ if (a === b) return a !== 0 || 1 / a === 1 / b;
+ // `null` or `undefined` only equal to itself (strict comparison).
+ if (a == null || b == null) return false;
+ // `NaN`s are equivalent, but non-reflexive.
+ if (a !== a) return b !== b;
+ // Exhaust primitive checks
+ var type = typeof a;
+ if (type !== 'function' && type !== 'object' && typeof b != 'object') return false;
+ return deepEq(a, b, aStack, bStack);
+ }
+
+ // Internal recursive comparison function for `_.isEqual`.
+ function deepEq(a, b, aStack, bStack) {
+ // Unwrap any wrapped objects.
+ if (a instanceof _$1) a = a._wrapped;
+ if (b instanceof _$1) b = b._wrapped;
+ // Compare `[[Class]]` names.
+ var className = toString.call(a);
+ if (className !== toString.call(b)) return false;
+ // Work around a bug in IE 10 - Edge 13.
+ if (hasStringTagBug && className == '[object Object]' && isDataView$1(a)) {
+ if (!isDataView$1(b)) return false;
+ className = tagDataView;
+ }
+ switch (className) {
+ // These types are compared by value.
+ case '[object RegExp]':
+ // RegExps are coerced to strings for comparison (Note: '' + /a/i === '/a/i')
+ case '[object String]':
+ // Primitives and their corresponding object wrappers are equivalent; thus, `"5"` is
+ // equivalent to `new String("5")`.
+ return '' + a === '' + b;
+ case '[object Number]':
+ // `NaN`s are equivalent, but non-reflexive.
+ // Object(NaN) is equivalent to NaN.
+ if (+a !== +a) return +b !== +b;
+ // An `egal` comparison is performed for other numeric values.
+ return +a === 0 ? 1 / +a === 1 / b : +a === +b;
+ case '[object Date]':
+ case '[object Boolean]':
+ // Coerce dates and booleans to numeric primitive values. Dates are compared by their
+ // millisecond representations. Note that invalid dates with millisecond representations
+ // of `NaN` are not equivalent.
+ return +a === +b;
+ case '[object Symbol]':
+ return SymbolProto.valueOf.call(a) === SymbolProto.valueOf.call(b);
+ case '[object ArrayBuffer]':
+ case tagDataView:
+ // Coerce to typed array so we can fall through.
+ return deepEq(toBufferView(a), toBufferView(b), aStack, bStack);
+ }
+
+ var areArrays = className === '[object Array]';
+ if (!areArrays && isTypedArray$1(a)) {
+ var byteLength = getByteLength(a);
+ if (byteLength !== getByteLength(b)) return false;
+ if (a.buffer === b.buffer && a.byteOffset === b.byteOffset) return true;
+ areArrays = true;
+ }
+ if (!areArrays) {
+ if (typeof a != 'object' || typeof b != 'object') return false;
+
+ // Objects with different constructors are not equivalent, but `Object`s or `Array`s
+ // from different frames are.
+ var aCtor = a.constructor, bCtor = b.constructor;
+ if (aCtor !== bCtor && !(isFunction$1(aCtor) && aCtor instanceof aCtor &&
+ isFunction$1(bCtor) && bCtor instanceof bCtor)
+ && ('constructor' in a && 'constructor' in b)) {
+ return false;
+ }
+ }
+ // Assume equality for cyclic structures. The algorithm for detecting cyclic
+ // structures is adapted from ES 5.1 section 15.12.3, abstract operation `JO`.
+
+ // Initializing stack of traversed objects.
+ // It's done here since we only need them for objects and arrays comparison.
+ aStack = aStack || [];
+ bStack = bStack || [];
+ var length = aStack.length;
+ while (length--) {
+ // Linear search. Performance is inversely proportional to the number of
+ // unique nested structures.
+ if (aStack[length] === a) return bStack[length] === b;
+ }
+
+ // Add the first object to the stack of traversed objects.
+ aStack.push(a);
+ bStack.push(b);
+
+ // Recursively compare objects and arrays.
+ if (areArrays) {
+ // Compare array lengths to determine if a deep comparison is necessary.
+ length = a.length;
+ if (length !== b.length) return false;
+ // Deep compare the contents, ignoring non-numeric properties.
+ while (length--) {
+ if (!eq(a[length], b[length], aStack, bStack)) return false;
+ }
+ } else {
+ // Deep compare objects.
+ var _keys = keys(a), key;
+ length = _keys.length;
+ // Ensure that both objects contain the same number of properties before comparing deep equality.
+ if (keys(b).length !== length) return false;
+ while (length--) {
+ // Deep compare each member
+ key = _keys[length];
+ if (!(has$1(b, key) && eq(a[key], b[key], aStack, bStack))) return false;
+ }
+ }
+ // Remove the first object from the stack of traversed objects.
+ aStack.pop();
+ bStack.pop();
+ return true;
+ }
+
+ // Perform a deep comparison to check if two objects are equal.
+ function isEqual(a, b) {
+ return eq(a, b);
+ }
+
+ // Retrieve all the enumerable property names of an object.
+ function allKeys(obj) {
+ if (!isObject(obj)) return [];
+ var keys = [];
+ for (var key in obj) keys.push(key);
+ // Ahem, IE < 9.
+ if (hasEnumBug) collectNonEnumProps(obj, keys);
+ return keys;
+ }
+
+ // Since the regular `Object.prototype.toString` type tests don't work for
+ // some types in IE 11, we use a fingerprinting heuristic instead, based
+ // on the methods. It's not great, but it's the best we got.
+ // The fingerprint method lists are defined below.
+ function ie11fingerprint(methods) {
+ var length = getLength(methods);
+ return function(obj) {
+ if (obj == null) return false;
+ // `Map`, `WeakMap` and `Set` have no enumerable keys.
+ var keys = allKeys(obj);
+ if (getLength(keys)) return false;
+ for (var i = 0; i < length; i++) {
+ if (!isFunction$1(obj[methods[i]])) return false;
+ }
+ // If we are testing against `WeakMap`, we need to ensure that
+ // `obj` doesn't have a `forEach` method in order to distinguish
+ // it from a regular `Map`.
+ return methods !== weakMapMethods || !isFunction$1(obj[forEachName]);
+ };
+ }
+
+ // In the interest of compact minification, we write
+ // each string in the fingerprints only once.
+ var forEachName = 'forEach',
+ hasName = 'has',
+ commonInit = ['clear', 'delete'],
+ mapTail = ['get', hasName, 'set'];
+
+ // `Map`, `WeakMap` and `Set` each have slightly different
+ // combinations of the above sublists.
+ var mapMethods = commonInit.concat(forEachName, mapTail),
+ weakMapMethods = commonInit.concat(mapTail),
+ setMethods = ['add'].concat(commonInit, forEachName, hasName);
+
+ var isMap = isIE11 ? ie11fingerprint(mapMethods) : tagTester('Map');
+
+ var isWeakMap = isIE11 ? ie11fingerprint(weakMapMethods) : tagTester('WeakMap');
+
+ var isSet = isIE11 ? ie11fingerprint(setMethods) : tagTester('Set');
+
+ var isWeakSet = tagTester('WeakSet');
+
+ // Retrieve the values of an object's properties.
+ function values(obj) {
+ var _keys = keys(obj);
+ var length = _keys.length;
+ var values = Array(length);
+ for (var i = 0; i < length; i++) {
+ values[i] = obj[_keys[i]];
+ }
+ return values;
+ }
+
+ // Convert an object into a list of `[key, value]` pairs.
+ // The opposite of `_.object` with one argument.
+ function pairs(obj) {
+ var _keys = keys(obj);
+ var length = _keys.length;
+ var pairs = Array(length);
+ for (var i = 0; i < length; i++) {
+ pairs[i] = [_keys[i], obj[_keys[i]]];
+ }
+ return pairs;
+ }
+
+ // Invert the keys and values of an object. The values must be serializable.
+ function invert(obj) {
+ var result = {};
+ var _keys = keys(obj);
+ for (var i = 0, length = _keys.length; i < length; i++) {
+ result[obj[_keys[i]]] = _keys[i];
+ }
+ return result;
+ }
+
+ // Return a sorted list of the function names available on the object.
+ function functions(obj) {
+ var names = [];
+ for (var key in obj) {
+ if (isFunction$1(obj[key])) names.push(key);
+ }
+ return names.sort();
+ }
+
+ // An internal function for creating assigner functions.
+ function createAssigner(keysFunc, defaults) {
+ return function(obj) {
+ var length = arguments.length;
+ if (defaults) obj = Object(obj);
+ if (length < 2 || obj == null) return obj;
+ for (var index = 1; index < length; index++) {
+ var source = arguments[index],
+ keys = keysFunc(source),
+ l = keys.length;
+ for (var i = 0; i < l; i++) {
+ var key = keys[i];
+ if (!defaults || obj[key] === void 0) obj[key] = source[key];
+ }
+ }
+ return obj;
+ };
+ }
+
+ // Extend a given object with all the properties in passed-in object(s).
+ var extend = createAssigner(allKeys);
+
+ // Assigns a given object with all the own properties in the passed-in
+ // object(s).
+ // (https://developer.mozilla.org/docs/Web/JavaScript/Reference/Global_Objects/Object/assign)
+ var extendOwn = createAssigner(keys);
+
+ // Fill in a given object with default properties.
+ var defaults = createAssigner(allKeys, true);
+
+ // Create a naked function reference for surrogate-prototype-swapping.
+ function ctor() {
+ return function(){};
+ }
+
+ // An internal function for creating a new object that inherits from another.
+ function baseCreate(prototype) {
+ if (!isObject(prototype)) return {};
+ if (nativeCreate) return nativeCreate(prototype);
+ var Ctor = ctor();
+ Ctor.prototype = prototype;
+ var result = new Ctor;
+ Ctor.prototype = null;
+ return result;
+ }
+
+ // Creates an object that inherits from the given prototype object.
+ // If additional properties are provided then they will be added to the
+ // created object.
+ function create(prototype, props) {
+ var result = baseCreate(prototype);
+ if (props) extendOwn(result, props);
+ return result;
+ }
+
+ // Create a (shallow-cloned) duplicate of an object.
+ function clone(obj) {
+ if (!isObject(obj)) return obj;
+ return isArray(obj) ? obj.slice() : extend({}, obj);
+ }
+
+ // Invokes `interceptor` with the `obj` and then returns `obj`.
+ // The primary purpose of this method is to "tap into" a method chain, in
+ // order to perform operations on intermediate results within the chain.
+ function tap(obj, interceptor) {
+ interceptor(obj);
+ return obj;
+ }
+
+ // Normalize a (deep) property `path` to array.
+ // Like `_.iteratee`, this function can be customized.
+ function toPath$1(path) {
+ return isArray(path) ? path : [path];
+ }
+ _$1.toPath = toPath$1;
+
+ // Internal wrapper for `_.toPath` to enable minification.
+ // Similar to `cb` for `_.iteratee`.
+ function toPath(path) {
+ return _$1.toPath(path);
+ }
+
+ // Internal function to obtain a nested property in `obj` along `path`.
+ function deepGet(obj, path) {
+ var length = path.length;
+ for (var i = 0; i < length; i++) {
+ if (obj == null) return void 0;
+ obj = obj[path[i]];
+ }
+ return length ? obj : void 0;
+ }
+
+ // Get the value of the (deep) property on `path` from `object`.
+ // If any property in `path` does not exist or if the value is
+ // `undefined`, return `defaultValue` instead.
+ // The `path` is normalized through `_.toPath`.
+ function get(object, path, defaultValue) {
+ var value = deepGet(object, toPath(path));
+ return isUndefined(value) ? defaultValue : value;
+ }
+
+ // Shortcut function for checking if an object has a given property directly on
+ // itself (in other words, not on a prototype). Unlike the internal `has`
+ // function, this public version can also traverse nested properties.
+ function has(obj, path) {
+ path = toPath(path);
+ var length = path.length;
+ for (var i = 0; i < length; i++) {
+ var key = path[i];
+ if (!has$1(obj, key)) return false;
+ obj = obj[key];
+ }
+ return !!length;
+ }
+
+ // Keep the identity function around for default iteratees.
+ function identity(value) {
+ return value;
+ }
+
+ // Returns a predicate for checking whether an object has a given set of
+ // `key:value` pairs.
+ function matcher(attrs) {
+ attrs = extendOwn({}, attrs);
+ return function(obj) {
+ return isMatch(obj, attrs);
+ };
+ }
+
+ // Creates a function that, when passed an object, will traverse that object’s
+ // properties down the given `path`, specified as an array of keys or indices.
+ function property(path) {
+ path = toPath(path);
+ return function(obj) {
+ return deepGet(obj, path);
+ };
+ }
+
+ // Internal function that returns an efficient (for current engines) version
+ // of the passed-in callback, to be repeatedly applied in other Underscore
+ // functions.
+ function optimizeCb(func, context, argCount) {
+ if (context === void 0) return func;
+ switch (argCount == null ? 3 : argCount) {
+ case 1: return function(value) {
+ return func.call(context, value);
+ };
+ // The 2-argument case is omitted because we’re not using it.
+ case 3: return function(value, index, collection) {
+ return func.call(context, value, index, collection);
+ };
+ case 4: return function(accumulator, value, index, collection) {
+ return func.call(context, accumulator, value, index, collection);
+ };
+ }
+ return function() {
+ return func.apply(context, arguments);
+ };
+ }
+
+ // An internal function to generate callbacks that can be applied to each
+ // element in a collection, returning the desired result — either `_.identity`,
+ // an arbitrary callback, a property matcher, or a property accessor.
+ function baseIteratee(value, context, argCount) {
+ if (value == null) return identity;
+ if (isFunction$1(value)) return optimizeCb(value, context, argCount);
+ if (isObject(value) && !isArray(value)) return matcher(value);
+ return property(value);
+ }
+
+ // External wrapper for our callback generator. Users may customize
+ // `_.iteratee` if they want additional predicate/iteratee shorthand styles.
+ // This abstraction hides the internal-only `argCount` argument.
+ function iteratee(value, context) {
+ return baseIteratee(value, context, Infinity);
+ }
+ _$1.iteratee = iteratee;
+
+ // The function we call internally to generate a callback. It invokes
+ // `_.iteratee` if overridden, otherwise `baseIteratee`.
+ function cb(value, context, argCount) {
+ if (_$1.iteratee !== iteratee) return _$1.iteratee(value, context);
+ return baseIteratee(value, context, argCount);
+ }
+
+ // Returns the results of applying the `iteratee` to each element of `obj`.
+ // In contrast to `_.map` it returns an object.
+ function mapObject(obj, iteratee, context) {
+ iteratee = cb(iteratee, context);
+ var _keys = keys(obj),
+ length = _keys.length,
+ results = {};
+ for (var index = 0; index < length; index++) {
+ var currentKey = _keys[index];
+ results[currentKey] = iteratee(obj[currentKey], currentKey, obj);
+ }
+ return results;
+ }
+
+ // Predicate-generating function. Often useful outside of Underscore.
+ function noop(){}
+
+ // Generates a function for a given object that returns a given property.
+ function propertyOf(obj) {
+ if (obj == null) return noop;
+ return function(path) {
+ return get(obj, path);
+ };
+ }
+
+ // Run a function **n** times.
+ function times(n, iteratee, context) {
+ var accum = Array(Math.max(0, n));
+ iteratee = optimizeCb(iteratee, context, 1);
+ for (var i = 0; i < n; i++) accum[i] = iteratee(i);
+ return accum;
+ }
+
+ // Return a random integer between `min` and `max` (inclusive).
+ function random(min, max) {
+ if (max == null) {
+ max = min;
+ min = 0;
+ }
+ return min + Math.floor(Math.random() * (max - min + 1));
+ }
+
+ // A (possibly faster) way to get the current timestamp as an integer.
+ var now = Date.now || function() {
+ return new Date().getTime();
+ };
+
+ // Internal helper to generate functions for escaping and unescaping strings
+ // to/from HTML interpolation.
+ function createEscaper(map) {
+ var escaper = function(match) {
+ return map[match];
+ };
+ // Regexes for identifying a key that needs to be escaped.
+ var source = '(?:' + keys(map).join('|') + ')';
+ var testRegexp = RegExp(source);
+ var replaceRegexp = RegExp(source, 'g');
+ return function(string) {
+ string = string == null ? '' : '' + string;
+ return testRegexp.test(string) ? string.replace(replaceRegexp, escaper) : string;
+ };
+ }
+
+ // Internal list of HTML entities for escaping.
+ var escapeMap = {
+ '&': '&',
+ '<': '<',
+ '>': '>',
+ '"': '"',
+ "'": ''',
+ '`': '`'
+ };
+
+ // Function for escaping strings to HTML interpolation.
+ var _escape = createEscaper(escapeMap);
+
+ // Internal list of HTML entities for unescaping.
+ var unescapeMap = invert(escapeMap);
+
+ // Function for unescaping strings from HTML interpolation.
+ var _unescape = createEscaper(unescapeMap);
+
+ // By default, Underscore uses ERB-style template delimiters. Change the
+ // following template settings to use alternative delimiters.
+ var templateSettings = _$1.templateSettings = {
+ evaluate: /<%([\s\S]+?)%>/g,
+ interpolate: /<%=([\s\S]+?)%>/g,
+ escape: /<%-([\s\S]+?)%>/g
+ };
+
+ // When customizing `_.templateSettings`, if you don't want to define an
+ // interpolation, evaluation or escaping regex, we need one that is
+ // guaranteed not to match.
+ var noMatch = /(.)^/;
+
+ // Certain characters need to be escaped so that they can be put into a
+ // string literal.
+ var escapes = {
+ "'": "'",
+ '\\': '\\',
+ '\r': 'r',
+ '\n': 'n',
+ '\u2028': 'u2028',
+ '\u2029': 'u2029'
+ };
+
+ var escapeRegExp = /\\|'|\r|\n|\u2028|\u2029/g;
+
+ function escapeChar(match) {
+ return '\\' + escapes[match];
+ }
+
+ // In order to prevent third-party code injection through
+ // `_.templateSettings.variable`, we test it against the following regular
+ // expression. It is intentionally a bit more liberal than just matching valid
+ // identifiers, but still prevents possible loopholes through defaults or
+ // destructuring assignment.
+ var bareIdentifier = /^\s*(\w|\$)+\s*$/;
+
+ // JavaScript micro-templating, similar to John Resig's implementation.
+ // Underscore templating handles arbitrary delimiters, preserves whitespace,
+ // and correctly escapes quotes within interpolated code.
+ // NB: `oldSettings` only exists for backwards compatibility.
+ function template(text, settings, oldSettings) {
+ if (!settings && oldSettings) settings = oldSettings;
+ settings = defaults({}, settings, _$1.templateSettings);
+
+ // Combine delimiters into one regular expression via alternation.
+ var matcher = RegExp([
+ (settings.escape || noMatch).source,
+ (settings.interpolate || noMatch).source,
+ (settings.evaluate || noMatch).source
+ ].join('|') + '|$', 'g');
+
+ // Compile the template source, escaping string literals appropriately.
+ var index = 0;
+ var source = "__p+='";
+ text.replace(matcher, function(match, escape, interpolate, evaluate, offset) {
+ source += text.slice(index, offset).replace(escapeRegExp, escapeChar);
+ index = offset + match.length;
+
+ if (escape) {
+ source += "'+\n((__t=(" + escape + "))==null?'':_.escape(__t))+\n'";
+ } else if (interpolate) {
+ source += "'+\n((__t=(" + interpolate + "))==null?'':__t)+\n'";
+ } else if (evaluate) {
+ source += "';\n" + evaluate + "\n__p+='";
+ }
+
+ // Adobe VMs need the match returned to produce the correct offset.
+ return match;
+ });
+ source += "';\n";
+
+ var argument = settings.variable;
+ if (argument) {
+ // Insure against third-party code injection. (CVE-2021-23358)
+ if (!bareIdentifier.test(argument)) throw new Error(
+ 'variable is not a bare identifier: ' + argument
+ );
+ } else {
+ // If a variable is not specified, place data values in local scope.
+ source = 'with(obj||{}){\n' + source + '}\n';
+ argument = 'obj';
+ }
+
+ source = "var __t,__p='',__j=Array.prototype.join," +
+ "print=function(){__p+=__j.call(arguments,'');};\n" +
+ source + 'return __p;\n';
+
+ var render;
+ try {
+ render = new Function(argument, '_', source);
+ } catch (e) {
+ e.source = source;
+ throw e;
+ }
+
+ var template = function(data) {
+ return render.call(this, data, _$1);
+ };
+
+ // Provide the compiled source as a convenience for precompilation.
+ template.source = 'function(' + argument + '){\n' + source + '}';
+
+ return template;
+ }
+
+ // Traverses the children of `obj` along `path`. If a child is a function, it
+ // is invoked with its parent as context. Returns the value of the final
+ // child, or `fallback` if any child is undefined.
+ function result(obj, path, fallback) {
+ path = toPath(path);
+ var length = path.length;
+ if (!length) {
+ return isFunction$1(fallback) ? fallback.call(obj) : fallback;
+ }
+ for (var i = 0; i < length; i++) {
+ var prop = obj == null ? void 0 : obj[path[i]];
+ if (prop === void 0) {
+ prop = fallback;
+ i = length; // Ensure we don't continue iterating.
+ }
+ obj = isFunction$1(prop) ? prop.call(obj) : prop;
+ }
+ return obj;
+ }
+
+ // Generate a unique integer id (unique within the entire client session).
+ // Useful for temporary DOM ids.
+ var idCounter = 0;
+ function uniqueId(prefix) {
+ var id = ++idCounter + '';
+ return prefix ? prefix + id : id;
+ }
+
+ // Start chaining a wrapped Underscore object.
+ function chain(obj) {
+ var instance = _$1(obj);
+ instance._chain = true;
+ return instance;
+ }
+
+ // Internal function to execute `sourceFunc` bound to `context` with optional
+ // `args`. Determines whether to execute a function as a constructor or as a
+ // normal function.
+ function executeBound(sourceFunc, boundFunc, context, callingContext, args) {
+ if (!(callingContext instanceof boundFunc)) return sourceFunc.apply(context, args);
+ var self = baseCreate(sourceFunc.prototype);
+ var result = sourceFunc.apply(self, args);
+ if (isObject(result)) return result;
+ return self;
+ }
+
+ // Partially apply a function by creating a version that has had some of its
+ // arguments pre-filled, without changing its dynamic `this` context. `_` acts
+ // as a placeholder by default, allowing any combination of arguments to be
+ // pre-filled. Set `_.partial.placeholder` for a custom placeholder argument.
+ var partial = restArguments(function(func, boundArgs) {
+ var placeholder = partial.placeholder;
+ var bound = function() {
+ var position = 0, length = boundArgs.length;
+ var args = Array(length);
+ for (var i = 0; i < length; i++) {
+ args[i] = boundArgs[i] === placeholder ? arguments[position++] : boundArgs[i];
+ }
+ while (position < arguments.length) args.push(arguments[position++]);
+ return executeBound(func, bound, this, this, args);
+ };
+ return bound;
+ });
+
+ partial.placeholder = _$1;
+
+ // Create a function bound to a given object (assigning `this`, and arguments,
+ // optionally).
+ var bind = restArguments(function(func, context, args) {
+ if (!isFunction$1(func)) throw new TypeError('Bind must be called on a function');
+ var bound = restArguments(function(callArgs) {
+ return executeBound(func, bound, context, this, args.concat(callArgs));
+ });
+ return bound;
+ });
+
+ // Internal helper for collection methods to determine whether a collection
+ // should be iterated as an array or as an object.
+ // Related: https://people.mozilla.org/~jorendorff/es6-draft.html#sec-tolength
+ // Avoids a very nasty iOS 8 JIT bug on ARM-64. #2094
+ var isArrayLike = createSizePropertyCheck(getLength);
+
+ // Internal implementation of a recursive `flatten` function.
+ function flatten$1(input, depth, strict, output) {
+ output = output || [];
+ if (!depth && depth !== 0) {
+ depth = Infinity;
+ } else if (depth <= 0) {
+ return output.concat(input);
+ }
+ var idx = output.length;
+ for (var i = 0, length = getLength(input); i < length; i++) {
+ var value = input[i];
+ if (isArrayLike(value) && (isArray(value) || isArguments$1(value))) {
+ // Flatten current level of array or arguments object.
+ if (depth > 1) {
+ flatten$1(value, depth - 1, strict, output);
+ idx = output.length;
+ } else {
+ var j = 0, len = value.length;
+ while (j < len) output[idx++] = value[j++];
+ }
+ } else if (!strict) {
+ output[idx++] = value;
+ }
+ }
+ return output;
+ }
+
+ // Bind a number of an object's methods to that object. Remaining arguments
+ // are the method names to be bound. Useful for ensuring that all callbacks
+ // defined on an object belong to it.
+ var bindAll = restArguments(function(obj, keys) {
+ keys = flatten$1(keys, false, false);
+ var index = keys.length;
+ if (index < 1) throw new Error('bindAll must be passed function names');
+ while (index--) {
+ var key = keys[index];
+ obj[key] = bind(obj[key], obj);
+ }
+ return obj;
+ });
+
+ // Memoize an expensive function by storing its results.
+ function memoize(func, hasher) {
+ var memoize = function(key) {
+ var cache = memoize.cache;
+ var address = '' + (hasher ? hasher.apply(this, arguments) : key);
+ if (!has$1(cache, address)) cache[address] = func.apply(this, arguments);
+ return cache[address];
+ };
+ memoize.cache = {};
+ return memoize;
+ }
+
+ // Delays a function for the given number of milliseconds, and then calls
+ // it with the arguments supplied.
+ var delay = restArguments(function(func, wait, args) {
+ return setTimeout(function() {
+ return func.apply(null, args);
+ }, wait);
+ });
+
+ // Defers a function, scheduling it to run after the current call stack has
+ // cleared.
+ var defer = partial(delay, _$1, 1);
+
+ // Returns a function, that, when invoked, will only be triggered at most once
+ // during a given window of time. Normally, the throttled function will run
+ // as much as it can, without ever going more than once per `wait` duration;
+ // but if you'd like to disable the execution on the leading edge, pass
+ // `{leading: false}`. To disable execution on the trailing edge, ditto.
+ function throttle(func, wait, options) {
+ var timeout, context, args, result;
+ var previous = 0;
+ if (!options) options = {};
+
+ var later = function() {
+ previous = options.leading === false ? 0 : now();
+ timeout = null;
+ result = func.apply(context, args);
+ if (!timeout) context = args = null;
+ };
+
+ var throttled = function() {
+ var _now = now();
+ if (!previous && options.leading === false) previous = _now;
+ var remaining = wait - (_now - previous);
+ context = this;
+ args = arguments;
+ if (remaining <= 0 || remaining > wait) {
+ if (timeout) {
+ clearTimeout(timeout);
+ timeout = null;
+ }
+ previous = _now;
+ result = func.apply(context, args);
+ if (!timeout) context = args = null;
+ } else if (!timeout && options.trailing !== false) {
+ timeout = setTimeout(later, remaining);
+ }
+ return result;
+ };
+
+ throttled.cancel = function() {
+ clearTimeout(timeout);
+ previous = 0;
+ timeout = context = args = null;
+ };
+
+ return throttled;
+ }
+
+ // When a sequence of calls of the returned function ends, the argument
+ // function is triggered. The end of a sequence is defined by the `wait`
+ // parameter. If `immediate` is passed, the argument function will be
+ // triggered at the beginning of the sequence instead of at the end.
+ function debounce(func, wait, immediate) {
+ var timeout, previous, args, result, context;
+
+ var later = function() {
+ var passed = now() - previous;
+ if (wait > passed) {
+ timeout = setTimeout(later, wait - passed);
+ } else {
+ timeout = null;
+ if (!immediate) result = func.apply(context, args);
+ // This check is needed because `func` can recursively invoke `debounced`.
+ if (!timeout) args = context = null;
+ }
+ };
+
+ var debounced = restArguments(function(_args) {
+ context = this;
+ args = _args;
+ previous = now();
+ if (!timeout) {
+ timeout = setTimeout(later, wait);
+ if (immediate) result = func.apply(context, args);
+ }
+ return result;
+ });
+
+ debounced.cancel = function() {
+ clearTimeout(timeout);
+ timeout = args = context = null;
+ };
+
+ return debounced;
+ }
+
+ // Returns the first function passed as an argument to the second,
+ // allowing you to adjust arguments, run code before and after, and
+ // conditionally execute the original function.
+ function wrap(func, wrapper) {
+ return partial(wrapper, func);
+ }
+
+ // Returns a negated version of the passed-in predicate.
+ function negate(predicate) {
+ return function() {
+ return !predicate.apply(this, arguments);
+ };
+ }
+
+ // Returns a function that is the composition of a list of functions, each
+ // consuming the return value of the function that follows.
+ function compose() {
+ var args = arguments;
+ var start = args.length - 1;
+ return function() {
+ var i = start;
+ var result = args[start].apply(this, arguments);
+ while (i--) result = args[i].call(this, result);
+ return result;
+ };
+ }
+
+ // Returns a function that will only be executed on and after the Nth call.
+ function after(times, func) {
+ return function() {
+ if (--times < 1) {
+ return func.apply(this, arguments);
+ }
+ };
+ }
+
+ // Returns a function that will only be executed up to (but not including) the
+ // Nth call.
+ function before(times, func) {
+ var memo;
+ return function() {
+ if (--times > 0) {
+ memo = func.apply(this, arguments);
+ }
+ if (times <= 1) func = null;
+ return memo;
+ };
+ }
+
+ // Returns a function that will be executed at most one time, no matter how
+ // often you call it. Useful for lazy initialization.
+ var once = partial(before, 2);
+
+ // Returns the first key on an object that passes a truth test.
+ function findKey(obj, predicate, context) {
+ predicate = cb(predicate, context);
+ var _keys = keys(obj), key;
+ for (var i = 0, length = _keys.length; i < length; i++) {
+ key = _keys[i];
+ if (predicate(obj[key], key, obj)) return key;
+ }
+ }
+
+ // Internal function to generate `_.findIndex` and `_.findLastIndex`.
+ function createPredicateIndexFinder(dir) {
+ return function(array, predicate, context) {
+ predicate = cb(predicate, context);
+ var length = getLength(array);
+ var index = dir > 0 ? 0 : length - 1;
+ for (; index >= 0 && index < length; index += dir) {
+ if (predicate(array[index], index, array)) return index;
+ }
+ return -1;
+ };
+ }
+
+ // Returns the first index on an array-like that passes a truth test.
+ var findIndex = createPredicateIndexFinder(1);
+
+ // Returns the last index on an array-like that passes a truth test.
+ var findLastIndex = createPredicateIndexFinder(-1);
+
+ // Use a comparator function to figure out the smallest index at which
+ // an object should be inserted so as to maintain order. Uses binary search.
+ function sortedIndex(array, obj, iteratee, context) {
+ iteratee = cb(iteratee, context, 1);
+ var value = iteratee(obj);
+ var low = 0, high = getLength(array);
+ while (low < high) {
+ var mid = Math.floor((low + high) / 2);
+ if (iteratee(array[mid]) < value) low = mid + 1; else high = mid;
+ }
+ return low;
+ }
+
+ // Internal function to generate the `_.indexOf` and `_.lastIndexOf` functions.
+ function createIndexFinder(dir, predicateFind, sortedIndex) {
+ return function(array, item, idx) {
+ var i = 0, length = getLength(array);
+ if (typeof idx == 'number') {
+ if (dir > 0) {
+ i = idx >= 0 ? idx : Math.max(idx + length, i);
+ } else {
+ length = idx >= 0 ? Math.min(idx + 1, length) : idx + length + 1;
+ }
+ } else if (sortedIndex && idx && length) {
+ idx = sortedIndex(array, item);
+ return array[idx] === item ? idx : -1;
+ }
+ if (item !== item) {
+ idx = predicateFind(slice.call(array, i, length), isNaN$1);
+ return idx >= 0 ? idx + i : -1;
+ }
+ for (idx = dir > 0 ? i : length - 1; idx >= 0 && idx < length; idx += dir) {
+ if (array[idx] === item) return idx;
+ }
+ return -1;
+ };
+ }
+
+ // Return the position of the first occurrence of an item in an array,
+ // or -1 if the item is not included in the array.
+ // If the array is large and already in sort order, pass `true`
+ // for **isSorted** to use binary search.
+ var indexOf = createIndexFinder(1, findIndex, sortedIndex);
+
+ // Return the position of the last occurrence of an item in an array,
+ // or -1 if the item is not included in the array.
+ var lastIndexOf = createIndexFinder(-1, findLastIndex);
+
+ // Return the first value which passes a truth test.
+ function find(obj, predicate, context) {
+ var keyFinder = isArrayLike(obj) ? findIndex : findKey;
+ var key = keyFinder(obj, predicate, context);
+ if (key !== void 0 && key !== -1) return obj[key];
+ }
+
+ // Convenience version of a common use case of `_.find`: getting the first
+ // object containing specific `key:value` pairs.
+ function findWhere(obj, attrs) {
+ return find(obj, matcher(attrs));
+ }
+
+ // The cornerstone for collection functions, an `each`
+ // implementation, aka `forEach`.
+ // Handles raw objects in addition to array-likes. Treats all
+ // sparse array-likes as if they were dense.
+ function each(obj, iteratee, context) {
+ iteratee = optimizeCb(iteratee, context);
+ var i, length;
+ if (isArrayLike(obj)) {
+ for (i = 0, length = obj.length; i < length; i++) {
+ iteratee(obj[i], i, obj);
+ }
+ } else {
+ var _keys = keys(obj);
+ for (i = 0, length = _keys.length; i < length; i++) {
+ iteratee(obj[_keys[i]], _keys[i], obj);
+ }
+ }
+ return obj;
+ }
+
+ // Return the results of applying the iteratee to each element.
+ function map(obj, iteratee, context) {
+ iteratee = cb(iteratee, context);
+ var _keys = !isArrayLike(obj) && keys(obj),
+ length = (_keys || obj).length,
+ results = Array(length);
+ for (var index = 0; index < length; index++) {
+ var currentKey = _keys ? _keys[index] : index;
+ results[index] = iteratee(obj[currentKey], currentKey, obj);
+ }
+ return results;
+ }
+
+ // Internal helper to create a reducing function, iterating left or right.
+ function createReduce(dir) {
+ // Wrap code that reassigns argument variables in a separate function than
+ // the one that accesses `arguments.length` to avoid a perf hit. (#1991)
+ var reducer = function(obj, iteratee, memo, initial) {
+ var _keys = !isArrayLike(obj) && keys(obj),
+ length = (_keys || obj).length,
+ index = dir > 0 ? 0 : length - 1;
+ if (!initial) {
+ memo = obj[_keys ? _keys[index] : index];
+ index += dir;
+ }
+ for (; index >= 0 && index < length; index += dir) {
+ var currentKey = _keys ? _keys[index] : index;
+ memo = iteratee(memo, obj[currentKey], currentKey, obj);
+ }
+ return memo;
+ };
+
+ return function(obj, iteratee, memo, context) {
+ var initial = arguments.length >= 3;
+ return reducer(obj, optimizeCb(iteratee, context, 4), memo, initial);
+ };
+ }
+
+ // **Reduce** builds up a single result from a list of values, aka `inject`,
+ // or `foldl`.
+ var reduce = createReduce(1);
+
+ // The right-associative version of reduce, also known as `foldr`.
+ var reduceRight = createReduce(-1);
+
+ // Return all the elements that pass a truth test.
+ function filter(obj, predicate, context) {
+ var results = [];
+ predicate = cb(predicate, context);
+ each(obj, function(value, index, list) {
+ if (predicate(value, index, list)) results.push(value);
+ });
+ return results;
+ }
+
+ // Return all the elements for which a truth test fails.
+ function reject(obj, predicate, context) {
+ return filter(obj, negate(cb(predicate)), context);
+ }
+
+ // Determine whether all of the elements pass a truth test.
+ function every(obj, predicate, context) {
+ predicate = cb(predicate, context);
+ var _keys = !isArrayLike(obj) && keys(obj),
+ length = (_keys || obj).length;
+ for (var index = 0; index < length; index++) {
+ var currentKey = _keys ? _keys[index] : index;
+ if (!predicate(obj[currentKey], currentKey, obj)) return false;
+ }
+ return true;
+ }
+
+ // Determine if at least one element in the object passes a truth test.
+ function some(obj, predicate, context) {
+ predicate = cb(predicate, context);
+ var _keys = !isArrayLike(obj) && keys(obj),
+ length = (_keys || obj).length;
+ for (var index = 0; index < length; index++) {
+ var currentKey = _keys ? _keys[index] : index;
+ if (predicate(obj[currentKey], currentKey, obj)) return true;
+ }
+ return false;
+ }
+
+ // Determine if the array or object contains a given item (using `===`).
+ function contains(obj, item, fromIndex, guard) {
+ if (!isArrayLike(obj)) obj = values(obj);
+ if (typeof fromIndex != 'number' || guard) fromIndex = 0;
+ return indexOf(obj, item, fromIndex) >= 0;
+ }
+
+ // Invoke a method (with arguments) on every item in a collection.
+ var invoke = restArguments(function(obj, path, args) {
+ var contextPath, func;
+ if (isFunction$1(path)) {
+ func = path;
+ } else {
+ path = toPath(path);
+ contextPath = path.slice(0, -1);
+ path = path[path.length - 1];
+ }
+ return map(obj, function(context) {
+ var method = func;
+ if (!method) {
+ if (contextPath && contextPath.length) {
+ context = deepGet(context, contextPath);
+ }
+ if (context == null) return void 0;
+ method = context[path];
+ }
+ return method == null ? method : method.apply(context, args);
+ });
+ });
+
+ // Convenience version of a common use case of `_.map`: fetching a property.
+ function pluck(obj, key) {
+ return map(obj, property(key));
+ }
+
+ // Convenience version of a common use case of `_.filter`: selecting only
+ // objects containing specific `key:value` pairs.
+ function where(obj, attrs) {
+ return filter(obj, matcher(attrs));
+ }
+
+ // Return the maximum element (or element-based computation).
+ function max(obj, iteratee, context) {
+ var result = -Infinity, lastComputed = -Infinity,
+ value, computed;
+ if (iteratee == null || typeof iteratee == 'number' && typeof obj[0] != 'object' && obj != null) {
+ obj = isArrayLike(obj) ? obj : values(obj);
+ for (var i = 0, length = obj.length; i < length; i++) {
+ value = obj[i];
+ if (value != null && value > result) {
+ result = value;
+ }
+ }
+ } else {
+ iteratee = cb(iteratee, context);
+ each(obj, function(v, index, list) {
+ computed = iteratee(v, index, list);
+ if (computed > lastComputed || computed === -Infinity && result === -Infinity) {
+ result = v;
+ lastComputed = computed;
+ }
+ });
+ }
+ return result;
+ }
+
+ // Return the minimum element (or element-based computation).
+ function min(obj, iteratee, context) {
+ var result = Infinity, lastComputed = Infinity,
+ value, computed;
+ if (iteratee == null || typeof iteratee == 'number' && typeof obj[0] != 'object' && obj != null) {
+ obj = isArrayLike(obj) ? obj : values(obj);
+ for (var i = 0, length = obj.length; i < length; i++) {
+ value = obj[i];
+ if (value != null && value < result) {
+ result = value;
+ }
+ }
+ } else {
+ iteratee = cb(iteratee, context);
+ each(obj, function(v, index, list) {
+ computed = iteratee(v, index, list);
+ if (computed < lastComputed || computed === Infinity && result === Infinity) {
+ result = v;
+ lastComputed = computed;
+ }
+ });
+ }
+ return result;
+ }
+
+ // Sample **n** random values from a collection using the modern version of the
+ // [Fisher-Yates shuffle](https://en.wikipedia.org/wiki/Fisher–Yates_shuffle).
+ // If **n** is not specified, returns a single random element.
+ // The internal `guard` argument allows it to work with `_.map`.
+ function sample(obj, n, guard) {
+ if (n == null || guard) {
+ if (!isArrayLike(obj)) obj = values(obj);
+ return obj[random(obj.length - 1)];
+ }
+ var sample = isArrayLike(obj) ? clone(obj) : values(obj);
+ var length = getLength(sample);
+ n = Math.max(Math.min(n, length), 0);
+ var last = length - 1;
+ for (var index = 0; index < n; index++) {
+ var rand = random(index, last);
+ var temp = sample[index];
+ sample[index] = sample[rand];
+ sample[rand] = temp;
+ }
+ return sample.slice(0, n);
+ }
+
+ // Shuffle a collection.
+ function shuffle(obj) {
+ return sample(obj, Infinity);
+ }
+
+ // Sort the object's values by a criterion produced by an iteratee.
+ function sortBy(obj, iteratee, context) {
+ var index = 0;
+ iteratee = cb(iteratee, context);
+ return pluck(map(obj, function(value, key, list) {
+ return {
+ value: value,
+ index: index++,
+ criteria: iteratee(value, key, list)
+ };
+ }).sort(function(left, right) {
+ var a = left.criteria;
+ var b = right.criteria;
+ if (a !== b) {
+ if (a > b || a === void 0) return 1;
+ if (a < b || b === void 0) return -1;
+ }
+ return left.index - right.index;
+ }), 'value');
+ }
+
+ // An internal function used for aggregate "group by" operations.
+ function group(behavior, partition) {
+ return function(obj, iteratee, context) {
+ var result = partition ? [[], []] : {};
+ iteratee = cb(iteratee, context);
+ each(obj, function(value, index) {
+ var key = iteratee(value, index, obj);
+ behavior(result, value, key);
+ });
+ return result;
+ };
+ }
+
+ // Groups the object's values by a criterion. Pass either a string attribute
+ // to group by, or a function that returns the criterion.
+ var groupBy = group(function(result, value, key) {
+ if (has$1(result, key)) result[key].push(value); else result[key] = [value];
+ });
+
+ // Indexes the object's values by a criterion, similar to `_.groupBy`, but for
+ // when you know that your index values will be unique.
+ var indexBy = group(function(result, value, key) {
+ result[key] = value;
+ });
+
+ // Counts instances of an object that group by a certain criterion. Pass
+ // either a string attribute to count by, or a function that returns the
+ // criterion.
+ var countBy = group(function(result, value, key) {
+ if (has$1(result, key)) result[key]++; else result[key] = 1;
+ });
+
+ // Split a collection into two arrays: one whose elements all pass the given
+ // truth test, and one whose elements all do not pass the truth test.
+ var partition = group(function(result, value, pass) {
+ result[pass ? 0 : 1].push(value);
+ }, true);
+
+ // Safely create a real, live array from anything iterable.
+ var reStrSymbol = /[^\ud800-\udfff]|[\ud800-\udbff][\udc00-\udfff]|[\ud800-\udfff]/g;
+ function toArray(obj) {
+ if (!obj) return [];
+ if (isArray(obj)) return slice.call(obj);
+ if (isString(obj)) {
+ // Keep surrogate pair characters together.
+ return obj.match(reStrSymbol);
+ }
+ if (isArrayLike(obj)) return map(obj, identity);
+ return values(obj);
+ }
+
+ // Return the number of elements in a collection.
+ function size(obj) {
+ if (obj == null) return 0;
+ return isArrayLike(obj) ? obj.length : keys(obj).length;
+ }
+
+ // Internal `_.pick` helper function to determine whether `key` is an enumerable
+ // property name of `obj`.
+ function keyInObj(value, key, obj) {
+ return key in obj;
+ }
+
+ // Return a copy of the object only containing the allowed properties.
+ var pick = restArguments(function(obj, keys) {
+ var result = {}, iteratee = keys[0];
+ if (obj == null) return result;
+ if (isFunction$1(iteratee)) {
+ if (keys.length > 1) iteratee = optimizeCb(iteratee, keys[1]);
+ keys = allKeys(obj);
+ } else {
+ iteratee = keyInObj;
+ keys = flatten$1(keys, false, false);
+ obj = Object(obj);
+ }
+ for (var i = 0, length = keys.length; i < length; i++) {
+ var key = keys[i];
+ var value = obj[key];
+ if (iteratee(value, key, obj)) result[key] = value;
+ }
+ return result;
+ });
+
+ // Return a copy of the object without the disallowed properties.
+ var omit = restArguments(function(obj, keys) {
+ var iteratee = keys[0], context;
+ if (isFunction$1(iteratee)) {
+ iteratee = negate(iteratee);
+ if (keys.length > 1) context = keys[1];
+ } else {
+ keys = map(flatten$1(keys, false, false), String);
+ iteratee = function(value, key) {
+ return !contains(keys, key);
+ };
+ }
+ return pick(obj, iteratee, context);
+ });
+
+ // Returns everything but the last entry of the array. Especially useful on
+ // the arguments object. Passing **n** will return all the values in
+ // the array, excluding the last N.
+ function initial(array, n, guard) {
+ return slice.call(array, 0, Math.max(0, array.length - (n == null || guard ? 1 : n)));
+ }
+
+ // Get the first element of an array. Passing **n** will return the first N
+ // values in the array. The **guard** check allows it to work with `_.map`.
+ function first(array, n, guard) {
+ if (array == null || array.length < 1) return n == null || guard ? void 0 : [];
+ if (n == null || guard) return array[0];
+ return initial(array, array.length - n);
+ }
+
+ // Returns everything but the first entry of the `array`. Especially useful on
+ // the `arguments` object. Passing an **n** will return the rest N values in the
+ // `array`.
+ function rest(array, n, guard) {
+ return slice.call(array, n == null || guard ? 1 : n);
+ }
+
+ // Get the last element of an array. Passing **n** will return the last N
+ // values in the array.
+ function last(array, n, guard) {
+ if (array == null || array.length < 1) return n == null || guard ? void 0 : [];
+ if (n == null || guard) return array[array.length - 1];
+ return rest(array, Math.max(0, array.length - n));
+ }
+
+ // Trim out all falsy values from an array.
+ function compact(array) {
+ return filter(array, Boolean);
+ }
+
+ // Flatten out an array, either recursively (by default), or up to `depth`.
+ // Passing `true` or `false` as `depth` means `1` or `Infinity`, respectively.
+ function flatten(array, depth) {
+ return flatten$1(array, depth, false);
+ }
+
+ // Take the difference between one array and a number of other arrays.
+ // Only the elements present in just the first array will remain.
+ var difference = restArguments(function(array, rest) {
+ rest = flatten$1(rest, true, true);
+ return filter(array, function(value){
+ return !contains(rest, value);
+ });
+ });
+
+ // Return a version of the array that does not contain the specified value(s).
+ var without = restArguments(function(array, otherArrays) {
+ return difference(array, otherArrays);
+ });
+
+ // Produce a duplicate-free version of the array. If the array has already
+ // been sorted, you have the option of using a faster algorithm.
+ // The faster algorithm will not work with an iteratee if the iteratee
+ // is not a one-to-one function, so providing an iteratee will disable
+ // the faster algorithm.
+ function uniq(array, isSorted, iteratee, context) {
+ if (!isBoolean(isSorted)) {
+ context = iteratee;
+ iteratee = isSorted;
+ isSorted = false;
+ }
+ if (iteratee != null) iteratee = cb(iteratee, context);
+ var result = [];
+ var seen = [];
+ for (var i = 0, length = getLength(array); i < length; i++) {
+ var value = array[i],
+ computed = iteratee ? iteratee(value, i, array) : value;
+ if (isSorted && !iteratee) {
+ if (!i || seen !== computed) result.push(value);
+ seen = computed;
+ } else if (iteratee) {
+ if (!contains(seen, computed)) {
+ seen.push(computed);
+ result.push(value);
+ }
+ } else if (!contains(result, value)) {
+ result.push(value);
+ }
+ }
+ return result;
+ }
+
+ // Produce an array that contains the union: each distinct element from all of
+ // the passed-in arrays.
+ var union = restArguments(function(arrays) {
+ return uniq(flatten$1(arrays, true, true));
+ });
+
+ // Produce an array that contains every item shared between all the
+ // passed-in arrays.
+ function intersection(array) {
+ var result = [];
+ var argsLength = arguments.length;
+ for (var i = 0, length = getLength(array); i < length; i++) {
+ var item = array[i];
+ if (contains(result, item)) continue;
+ var j;
+ for (j = 1; j < argsLength; j++) {
+ if (!contains(arguments[j], item)) break;
+ }
+ if (j === argsLength) result.push(item);
+ }
+ return result;
+ }
+
+ // Complement of zip. Unzip accepts an array of arrays and groups
+ // each array's elements on shared indices.
+ function unzip(array) {
+ var length = array && max(array, getLength).length || 0;
+ var result = Array(length);
+
+ for (var index = 0; index < length; index++) {
+ result[index] = pluck(array, index);
+ }
+ return result;
+ }
+
+ // Zip together multiple lists into a single array -- elements that share
+ // an index go together.
+ var zip = restArguments(unzip);
+
+ // Converts lists into objects. Pass either a single array of `[key, value]`
+ // pairs, or two parallel arrays of the same length -- one of keys, and one of
+ // the corresponding values. Passing by pairs is the reverse of `_.pairs`.
+ function object(list, values) {
+ var result = {};
+ for (var i = 0, length = getLength(list); i < length; i++) {
+ if (values) {
+ result[list[i]] = values[i];
+ } else {
+ result[list[i][0]] = list[i][1];
+ }
+ }
+ return result;
+ }
+
+ // Generate an integer Array containing an arithmetic progression. A port of
+ // the native Python `range()` function. See
+ // [the Python documentation](https://docs.python.org/library/functions.html#range).
+ function range(start, stop, step) {
+ if (stop == null) {
+ stop = start || 0;
+ start = 0;
+ }
+ if (!step) {
+ step = stop < start ? -1 : 1;
+ }
+
+ var length = Math.max(Math.ceil((stop - start) / step), 0);
+ var range = Array(length);
+
+ for (var idx = 0; idx < length; idx++, start += step) {
+ range[idx] = start;
+ }
+
+ return range;
+ }
+
+ // Chunk a single array into multiple arrays, each containing `count` or fewer
+ // items.
+ function chunk(array, count) {
+ if (count == null || count < 1) return [];
+ var result = [];
+ var i = 0, length = array.length;
+ while (i < length) {
+ result.push(slice.call(array, i, i += count));
+ }
+ return result;
+ }
+
+ // Helper function to continue chaining intermediate results.
+ function chainResult(instance, obj) {
+ return instance._chain ? _$1(obj).chain() : obj;
+ }
+
+ // Add your own custom functions to the Underscore object.
+ function mixin(obj) {
+ each(functions(obj), function(name) {
+ var func = _$1[name] = obj[name];
+ _$1.prototype[name] = function() {
+ var args = [this._wrapped];
+ push.apply(args, arguments);
+ return chainResult(this, func.apply(_$1, args));
+ };
+ });
+ return _$1;
+ }
+
+ // Add all mutator `Array` functions to the wrapper.
+ each(['pop', 'push', 'reverse', 'shift', 'sort', 'splice', 'unshift'], function(name) {
+ var method = ArrayProto[name];
+ _$1.prototype[name] = function() {
+ var obj = this._wrapped;
+ if (obj != null) {
+ method.apply(obj, arguments);
+ if ((name === 'shift' || name === 'splice') && obj.length === 0) {
+ delete obj[0];
+ }
+ }
+ return chainResult(this, obj);
+ };
+ });
+
+ // Add all accessor `Array` functions to the wrapper.
+ each(['concat', 'join', 'slice'], function(name) {
+ var method = ArrayProto[name];
+ _$1.prototype[name] = function() {
+ var obj = this._wrapped;
+ if (obj != null) obj = method.apply(obj, arguments);
+ return chainResult(this, obj);
+ };
+ });
+
+ // Named Exports
+
+ var allExports = {
+ __proto__: null,
+ VERSION: VERSION,
+ restArguments: restArguments,
+ isObject: isObject,
+ isNull: isNull,
+ isUndefined: isUndefined,
+ isBoolean: isBoolean,
+ isElement: isElement,
+ isString: isString,
+ isNumber: isNumber,
+ isDate: isDate,
+ isRegExp: isRegExp,
+ isError: isError,
+ isSymbol: isSymbol,
+ isArrayBuffer: isArrayBuffer,
+ isDataView: isDataView$1,
+ isArray: isArray,
+ isFunction: isFunction$1,
+ isArguments: isArguments$1,
+ isFinite: isFinite$1,
+ isNaN: isNaN$1,
+ isTypedArray: isTypedArray$1,
+ isEmpty: isEmpty,
+ isMatch: isMatch,
+ isEqual: isEqual,
+ isMap: isMap,
+ isWeakMap: isWeakMap,
+ isSet: isSet,
+ isWeakSet: isWeakSet,
+ keys: keys,
+ allKeys: allKeys,
+ values: values,
+ pairs: pairs,
+ invert: invert,
+ functions: functions,
+ methods: functions,
+ extend: extend,
+ extendOwn: extendOwn,
+ assign: extendOwn,
+ defaults: defaults,
+ create: create,
+ clone: clone,
+ tap: tap,
+ get: get,
+ has: has,
+ mapObject: mapObject,
+ identity: identity,
+ constant: constant,
+ noop: noop,
+ toPath: toPath$1,
+ property: property,
+ propertyOf: propertyOf,
+ matcher: matcher,
+ matches: matcher,
+ times: times,
+ random: random,
+ now: now,
+ escape: _escape,
+ unescape: _unescape,
+ templateSettings: templateSettings,
+ template: template,
+ result: result,
+ uniqueId: uniqueId,
+ chain: chain,
+ iteratee: iteratee,
+ partial: partial,
+ bind: bind,
+ bindAll: bindAll,
+ memoize: memoize,
+ delay: delay,
+ defer: defer,
+ throttle: throttle,
+ debounce: debounce,
+ wrap: wrap,
+ negate: negate,
+ compose: compose,
+ after: after,
+ before: before,
+ once: once,
+ findKey: findKey,
+ findIndex: findIndex,
+ findLastIndex: findLastIndex,
+ sortedIndex: sortedIndex,
+ indexOf: indexOf,
+ lastIndexOf: lastIndexOf,
+ find: find,
+ detect: find,
+ findWhere: findWhere,
+ each: each,
+ forEach: each,
+ map: map,
+ collect: map,
+ reduce: reduce,
+ foldl: reduce,
+ inject: reduce,
+ reduceRight: reduceRight,
+ foldr: reduceRight,
+ filter: filter,
+ select: filter,
+ reject: reject,
+ every: every,
+ all: every,
+ some: some,
+ any: some,
+ contains: contains,
+ includes: contains,
+ include: contains,
+ invoke: invoke,
+ pluck: pluck,
+ where: where,
+ max: max,
+ min: min,
+ shuffle: shuffle,
+ sample: sample,
+ sortBy: sortBy,
+ groupBy: groupBy,
+ indexBy: indexBy,
+ countBy: countBy,
+ partition: partition,
+ toArray: toArray,
+ size: size,
+ pick: pick,
+ omit: omit,
+ first: first,
+ head: first,
+ take: first,
+ initial: initial,
+ last: last,
+ rest: rest,
+ tail: rest,
+ drop: rest,
+ compact: compact,
+ flatten: flatten,
+ without: without,
+ uniq: uniq,
+ unique: uniq,
+ union: union,
+ intersection: intersection,
+ difference: difference,
+ unzip: unzip,
+ transpose: unzip,
+ zip: zip,
+ object: object,
+ range: range,
+ chunk: chunk,
+ mixin: mixin,
+ 'default': _$1
+ };
+
+ // Default Export
+
+ // Add all of the Underscore functions to the wrapper object.
+ var _ = mixin(allExports);
+ // Legacy Node.js API.
+ _._ = _;
+
+ return _;
+
+})));
+//# sourceMappingURL=underscore-umd.js.map
diff --git a/docs/_static/underscore.js b/docs/_static/underscore.js
index 166240e..cf177d4 100644
--- a/docs/_static/underscore.js
+++ b/docs/_static/underscore.js
@@ -1,6 +1,6 @@
-!function(n,r){"object"==typeof exports&&"undefined"!=typeof module?module.exports=r():"function"==typeof define&&define.amd?define("underscore",r):(n=n||self,function(){var t=n._,e=n._=r();e.noConflict=function(){return n._=t,e}}())}(this,(function(){
-// Underscore.js 1.12.0
+!function(n,r){"object"==typeof exports&&"undefined"!=typeof module?module.exports=r():"function"==typeof define&&define.amd?define("underscore",r):(n="undefined"!=typeof globalThis?globalThis:n||self,function(){var t=n._,e=n._=r();e.noConflict=function(){return n._=t,e}}())}(this,(function(){
+// Underscore.js 1.13.1
// https://underscorejs.org
-// (c) 2009-2020 Jeremy Ashkenas, DocumentCloud and Investigative Reporters & Editors
+// (c) 2009-2021 Jeremy Ashkenas, Julian Gonggrijp, and DocumentCloud and Investigative Reporters & Editors
// Underscore may be freely distributed under the MIT license.
-var n="1.12.0",r="object"==typeof self&&self.self===self&&self||"object"==typeof global&&global.global===global&&global||Function("return this")()||{},t=Array.prototype,e=Object.prototype,u="undefined"!=typeof Symbol?Symbol.prototype:null,o=t.push,i=t.slice,a=e.toString,f=e.hasOwnProperty,c="undefined"!=typeof ArrayBuffer,l="undefined"!=typeof DataView,s=Array.isArray,p=Object.keys,v=Object.create,h=c&&ArrayBuffer.isView,y=isNaN,g=isFinite,d=!{toString:null}.propertyIsEnumerable("toString"),b=["valueOf","isPrototypeOf","toString","propertyIsEnumerable","hasOwnProperty","toLocaleString"],m=Math.pow(2,53)-1;function j(n,r){return r=null==r?n.length-1:+r,function(){for(var t=Math.max(arguments.length-r,0),e=Array(t),u=0;u=0&&t<=m}}function $(n){return function(r){return null==r?void 0:r[n]}}var G=$("byteLength"),H=J(G),Q=/\[object ((I|Ui)nt(8|16|32)|Float(32|64)|Uint8Clamped|Big(I|Ui)nt64)Array\]/;var X=c?function(n){return 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- pygeoda API reference — pygeoda 0.0.8 rc documentation
+ pygeoda API reference — pygeoda 0.0.8 documentation
+
+
@@ -31,6 +33,7 @@
+
@@ -86,7 +89,7 @@
-
Local Neighbor Match Test The local neighbor match test is to assess the extent of overlap between k-nearest neighbors in geographical space and k-nearest neighbors in multi-attribute space.
Join count ratio is the join counts, the number of times a category is surrounded
+by neighbors of the same category, over the total number of neighbors after converting
+each category to a dummy variable.