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collatz/collatz.py

@@ -0,0 +1,16 @@
+
+def nextInSequence(number):
+    if isinstance(number, int):
+        if number % 2 == 0:
+            return number // 2
+        else:
+            return 3*number+1
+    else:
+        raise TypeError('input must be int!')
+
+def seqenceLength(number):
+    length = 0
+    while number != 1:
+        number = nextInSequence(number)
+        length += 1
+    return length

collatz/collatzSearch.py

@@ -0,0 +1,24 @@
+#! /usr/bin/env python3
+
+import sys
+import collatz
+
+usage='usage: collatzSearch [digits] outputs the lenght of the collatz sequence for every number less than 10^digits'
+
+if len(sys.argv)<2:
+    print(usage)
+    sys.exit()
+digits = sys.argv[1]
+
+try:
+    digits = int(digits)
+except:
+    print(usage)
+    sys.exit()
+
+nextNumber = 1
+maxNumber = 10**digits
+
+while nextNumber<maxNumber:
+    print('collatz length of '+str(nextNumber)+' is: \n'+str(collatz.seqenceLength(nextNumber)))
+    nextNumber += 1

collatz/collatzSequence.py

@@ -0,0 +1,21 @@
+#! /usr/bin/env python3
+
+import sys
+import collatz
+
+usage='usage: collatzSequence [number] prints the collatz sequence for the given number'
+
+if len(sys.argv)<2:
+    Print(usage)
+    sys.exit()
+number = sys.argv[1]
+
+try:
+    number = int(number)
+except:
+    print(usage)
+    sys.exit()
+
+while number != 1:
+    number = collatz.nextInSequence(number)
+    print(number)