Data commit

Task/Pathological-floating-point-problems/Python/pathological-floating-point-problems-1.py

@@ -0,0 +1,12 @@
+from fractions import Fraction
+
+def muller_seq(n:int) -> float:
+    seq = [Fraction(0), Fraction(2), Fraction(-4)]
+    for i in range(3, n+1):
+        next_value = (111 - 1130/seq[i-1]
+            + 3000/(seq[i-1]*seq[i-2]))
+        seq.append(next_value)
+    return float(seq[n])
+
+for n in [3, 4, 5, 6, 7, 8, 20, 30, 50, 100]:
+    print("{:4d} -> {}".format(n, muller_seq(n)))

Task/Pathological-floating-point-problems/Python/pathological-floating-point-problems-2.py

@@ -0,0 +1,16 @@
+from decimal import Decimal, getcontext
+
+def bank(years:int) -> float:
+    """
+    Warning: still will diverge and return incorrect results after 250 years
+    the higher the precision, the more years will cover
+    """
+    getcontext().prec = 500
+    # standard math.e has not enough precision
+    e = Decimal('2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427427466391932003059921817413596629043572900334295260595630738132328627943490763233829880753195251019011573834187930702154089149934884167509244761460668082264800168477411853742345442437107539077744992069551702761838606261331384583000752044933826560297606737113200709328709127443747047230696977209310141692836819025515108657463772111252389784425056953696770785449969967946864454905987931636889230098793127736178215424999229576351')
+    decimal_balance = e - 1
+    for year in range(1, years+1):
+        decimal_balance = decimal_balance * year - 1
+    return(float(decimal_balance))
+
+print("Bank balance after 25 years = ", bank(25))

Task/Pathological-floating-point-problems/Python/pathological-floating-point-problems-3.py

@@ -0,0 +1,2 @@
+for year in range(200, 256, 5):
+    print(year, '->', bank(year))

Task/Pathological-floating-point-problems/Python/pathological-floating-point-problems-4.py

@@ -0,0 +1,11 @@
+from fractions import Fraction
+
+def rump(generic_a, generic_b) -> float:
+    a = Fraction('{}'.format(generic_a))
+    b = Fraction('{}'.format(generic_b))
+    fractional_result = Fraction('333.75') * b**6 \
+        + a**2 * ( 11 * a**2 * b**2 - b**6 - 121 * b**4 - 2 ) \
+        + Fraction('5.5') * b**8 + a / (2 * b)
+    return(float(fractional_result))
+
+print("rump(77617, 33096) = ", rump(77617.0, 33096.0))