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builtin_filters.py

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+import math
+
+def Modulo2(num):
+	return num % 2
+
+def Modulo3(num):
+	return num % 3
+
+def Digits(num):
+	return int(math.log10(num)) + 1
+
+def IsPrime(num):
+	if num == 1:
+		return 0
+	elif num == 2:
+		return 1
+	primeVar = 1
+	digits = int(math.log10(num)) + 1
+	if digits > 12:
+		for divider in range(2, int(num/10000000000)):
+			if num % divider == 0:
+				primeVar = 0
+		for i in range(2,10000000001):
+			for divider in range(int((i-1)*num/10000000000), int(i*num/10000000000)):
+				if num % divider == 0:
+					primeVar = 0
+		return primeVar
+
+	elif digits > 9:
+		for divider in range(2, int(num/10000000)):
+			if num % divider == 0:
+				primeVar = 0
+		for i in range(2,10000001):
+			for divider in range(int((i-1)*num/10000000), int(i*num/10000000)):
+				if num % divider == 0:
+					primeVar = 0
+		return primeVar
+
+	elif digits > 6:
+		for divider in range(2, int(num/10000)):
+			if num % divider == 0:
+				primeVar = 0
+		for i in range(2,10001):
+			for divider in range(int((i-1)*num/10000), int(i*num/10000)):
+				if num % divider == 0:
+					primeVar = 0
+		return primeVar
+
+	elif digits > 3:
+		for divider in range(2, int(num/10)):
+			if num % divider == 0:
+				primeVar = 0
+		for i in range(2,11):
+			for divider in range(int((i-1)*num/10), int(i*num/10)):
+				if num % divider == 0:
+					primeVar = 0
+		return primeVar
+
+	else:
+		for divider in range(2,num):
+			if num % divider == 0:
+				primeVar = 0
+		return primeVar
+
+def Mod2Vis(num):
+	if Modulo2(num) == 0:
+		return " "
+	else:
+		return "X"
+
+def Mod3Vis(num):
+	if Modulo3(num) == 0:
+		return " "
+	elif Modulo3(num) == 1:
+		return "X"
+	else:
+		return "O"
+
+def PrimeVis(num):
+	if IsPrime(num) == 0:
+		return "_"
+	else:
+		return "X"
+
+

custom_filters.py

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+#put your own filters right here...
+"""Example filter:
+def AddOne(num):
+	return num + 1"""

main.py

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+from triangle import Triangle, BeautifyTri, FilterTri
+
+print """Hi! I'm glad You chose me as your go to Pascal's Triangle software! You are currently running my main.py,
+so I assume You're interested in using my friendly I/O access. Feel free to also implement my functions
+in any of your own code. For now, I will just ask you for the numbers of lines you want and which filter
+to apply. A filter usually applies some function to each number in the triangle. You can create your own
+filters in custom_filters.py. If you don't know what to do use the filter "help" ;). Have Fun!"""
+
+while True:
+	error = False
+	try:
+		size = int(raw_input("Number of rows: "))
+	except ValueError:
+		print "Damn, I couldn't get that number. Please only use numerical characters here..."
+		error = True
+	if not error:
+		filter = raw_input("Filter: ")
+		if filter == "none":
+			print BeautifyTri(Triangle(size))
+		elif filter == "help" or filter == "Help" or filter == "HELP":
+			print """Here are all the builtin filters, try them out as you like:
+- Modulo2
+- Modulo3
+- Digits
+- IsPrime
+- Mod2Vis
+- Mod3Vis
+- PrimeVis
+
+!The Prime family of filters might take a while for triangles over 20 rows!"""
+		else:
+			print BeautifyTri(FilterTri(Triangle(size), filter))

triangle.py

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+from builtin_filters import *
+from custom_filters import *
+
+def Triangle(size):
+	"""takes int size. Generates a pascals triangle with that number of rows."""
+	if size == 1:
+		return [[1]]
+	else:
+		rows = Triangle(size-1)
+		newRow = [1]
+		for index in range(len(rows[-1])-1):
+			newRow.append(rows[-1][index] + rows[-1][index+1])
+		newRow.append(1)
+		rows.append(newRow)
+		return rows
+
+def BeautifyTri(triangle = Triangle(10)):
+	"""takes triangle (default is normal Tri with length 10), returns middle-aligned tri."""
+	rowStrList = []
+	outStr = ""
+	for row in triangle:
+		rowStr = ""
+		for num in row:
+			rowStr += str(num) + " "
+		rowStrList.append(rowStr[:len(rowStr)])
+	for rowStr in rowStrList:
+		while len(rowStr) < len(rowStrList[-1]):
+			rowStr = " " + rowStr
+			if len(rowStr) < len(rowStrList[-1]):
+				rowStr += " "
+		rowStr += "\n"
+		outStr += rowStr
+	return outStr
+
+def FilterTri(inTri = Triangle(10), filterFunc = Modulo2):
+	"""takes triangle inTri and/or function filterFunc (defaults are Triangle(10) and Modulo2).
+	 Returns filtered Triangle."""
+	failed = False
+	if type(filterFunc) == str:
+		try:
+			filterFunc = eval(filterFunc)
+		except NameError:
+			failed = True
+	if failed:
+		print """This filter doesn't seem to exist :/ I imagine it would be really
+cool if it did... Maybe create it? ^^ But since it would be really
+boring if nothing happened, have a normal pascal's triangle."""
+		return Triangle(10)
+	outTri = []
+	for row in inTri:
+		outRow = []
+		for num in row:
+			try:
+				outNum = filterFunc(num)
+				outRow.append(outNum)
+			except NameError:
+				failed = True
+		outTri.append(outRow)
+	if failed:
+		print """This filter doesn't seem to exist :/ I imagine it would be really
+cool if it did... Maybe create it? ^^ But since it would be really
+boring if nothing happened, have a normal pascal's triangle."""
+		return Triangle(10)
+	return outTri