Initial data commit

Task/Metallic-ratios/Python/metallic-ratios.py

@@ -0,0 +1,29 @@
+from itertools import count, islice
+from _pydecimal import getcontext, Decimal
+
+def metallic_ratio(b):
+    m, n = 1, 1
+    while True:
+        yield m, n
+        m, n = m*b + n, m
+
+def stable(b, prec):
+    def to_decimal(b):
+        for m,n in metallic_ratio(b):
+            yield Decimal(m)/Decimal(n)
+
+    getcontext().prec = prec
+    last = 0
+    for i,x in zip(count(), to_decimal(b)):
+        if x == last:
+            print(f'after {i} iterations:\n\t{x}')
+            break
+        last = x
+
+for b in range(4):
+    coefs = [n for _,n in islice(metallic_ratio(b), 15)]
+    print(f'\nb = {b}: {coefs}')
+    stable(b, 32)
+
+print(f'\nb = 1 with 256 digits:')
+stable(1, 256)