Added functional.py and README for hw6

hw6_functional/README.md

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+- **sequential_map()** takes unlimited number of functions and a collection of values as input. \
+It returns list of results of sequential application of these functions to the collection of values.
+
+- **consensus_filter()** takes several filters (functions that return True or False) and a collection of values as input. \
+It returns list of values that pass every filter.
+
+- **conditional_reduce()** takes 2 functions and a collection of values. \
+First function takes 1 argument and returns True or False (it's a filter). \
+Second function takes 2 arguments and returns result (it's a function). \
+conditional_reduce() returns 1 value (similar to reduce() function) but only for those values that passed the filter.
+
+- **func_chain()** takes unlimited number of functions as input. \
+It returns single function that is a result of a sequential application of them.
+
+- **sequential_map_new()** is a sequential_map() implemented using func_chain() function.
+
+- **multiple_partial()** works similar to partial() but it takes unlimited number of functions and unlimited number of parameters as input and returns a list of "partial" functions.

hw6_functional/functional.py

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+## Task 1
+
+# This function takes unlimited number of functions and a collection of values as input.
+# It returns list of results of sequential application of these functions to the collection of values.
+
+def sequential_map(*args):
+    *functions, values = [*args]              # unpacking input functions and collection of values
+    for function in functions:
+        values = map(function, values)
+    return list(values)
+
+## Task 2
+
+# This function takes several filters (functions that return True or False) and a collection of values as input.
+# It returns list of values that pass every filter.
+
+def consensus_filter(*args):
+    *filters, values = [*args]                # unpacking input filters and collection of values
+    for filterr in filters:
+        values = filter(filterr, values)      # passing to next filter only values that passed current filter
+    return list(values)
+
+## Task 3
+
+# conditional_reduce() takes 2 functions and a collection of values.
+# First function takes 1 argument and returns True or False (it's a filter).
+# Second function takes 2 arguments and returns result (it's a function).
+# conditional_reduce() returns 1 value (similar to reduce() function) but only for those values that passed the filter.
+
+def my_reduce(function, values):
+    while len(values) > 1:                    #  if 0 or 1 input values, returning values immediately
+        values[1] = function(values[0], values[1])
+        values = values[1:]
+    return values
+
+def conditional_reduce(filterr, function, values):
+    filtered_values = list(filter(filterr, values))
+    return my_reduce(function, filtered_values)
+
+## Task 4
+
+# func_chain() takes unlimited number of functions as input.
+# It returns single function that is a result of a sequential application of them.
+
+def wrapping_function(inner_func, outer_func):
+    return lambda x: outer_func(inner_func(x))
+
+def func_chain(*args):
+    list_of_functions = [*args]
+    while len(list_of_functions) > 1:
+        list_of_functions[1] = wrapping_function(list_of_functions[0], list_of_functions[1])
+        list_of_functions = list_of_functions[1:]
+    return list_of_functions[0]
+
+## Task 4. Additional
+
+# Implementation of Task 1 using func_chain() function.
+
+def sequential_map_new(*args):
+    *functions, values = [*args]              # unpacking input functions and list of values
+    general_function = func_chain(*functions) # wrapping all input functions into one function
+    return general_function(values)
+
+## Extra Task 1
+
+# multiple_partial() works similar to partial() but
+# it takes unlimited number of functions and unlimited number of parameters as input and returns a list of "partial" functions.
+
+def multiple_partial(*args, **kwargs):
+    list_of_functions = [*args]
+    dict_of_parameters = kwargs
+
+    list_of_partial_functions = []
+
+    for function in list_of_functions:
+        def partial_func(function, dict_of_parameters):
+            return lambda x: function(x, **dict_of_parameters)
+        list_of_partial_functions.append(partial_func(function, dict_of_parameters))
+
+    return list_of_partial_functions