Initial data commit

Task/Harmonic-series/Python/harmonic-series-1.py

@@ -0,0 +1,13 @@
+from  fractions import Fraction
+
+def harmonic_series():
+    n, h = Fraction(1), Fraction(1)
+    while True:
+        yield h
+        h += 1 / (n + 1)
+        n += 1
+
+if __name__ == '__main__':
+    from itertools import islice
+    for n, d in (h.as_integer_ratio() for h in islice(harmonic_series(), 20)):
+        print(n, '/', d)

Task/Harmonic-series/Python/harmonic-series-2.py

@@ -0,0 +1,75 @@
+'''Harmonic series'''
+
+from fractions import Fraction
+from itertools import accumulate, count, islice
+from operator import add
+
+
+# harmonic :: [Fraction]
+def harmonic():
+    '''Non finite stream of the terms
+       of the Harmonic series.
+    '''
+    return accumulate(
+        (1 / Fraction(x) for x in count(1)),
+        add
+    )
+
+
+# ------------------------- TEST -------------------------
+# main :: IO ()
+def main():
+    '''Tests of the harmonic series function'''
+
+    print('First 20 terms of the harmonic series:')
+    print('\n'.join([
+        showFraction(nd) for nd in islice(harmonic(), 20)
+    ]))
+
+    print('\n100th term:')
+    print(
+        showFraction(
+            next(islice(harmonic(), 99, None))
+        )
+    )
+
+    print('')
+    print(
+        'One-based indices of terms above threshold values:'
+    )
+    indexedHarmonic = enumerate(harmonic())
+    print('\n'.join([
+        next(
+            showFirstLimit(n)(x) for x
+            in indexedHarmonic if n < x[1]
+        ) for n in range(1, 1 + 10)
+    ]))
+
+
+# ------------------ DISPLAY FORMATTING ------------------
+
+# showFraction :: Fraction -> String
+def showFraction(nd):
+    '''String representation of the fraction nd.
+    '''
+    n, d = nd.as_integer_ratio()
+
+    return f'{n} / {d}'
+
+
+# showFirstLimit :: Int -> (Int, Fraction) -> String
+def showFirstLimit(n):
+    '''Report of 1-based index of first term
+       with a value over n
+    '''
+    def go(indexedFraction):
+        i = indexedFraction[0]
+
+        return f'Term {1 + i} is the first above {n}'
+
+    return go
+
+
+# MAIN ---
+if __name__ == '__main__':
+    main()