Gauss summation

printNumbers/functions/gaussian_summation.py

@@ -0,0 +1,29 @@
+# -*- coding: utf-8 -*-
+#
+# fibonacci.py
+#
+# This file is part of printNumbers.
+#
+# Copyright (C) 2022 C. Scherer, Simulation & Datalab Neuroscience, JSC, FZ Juelich
+#
+# printNumbers is free software: you can redistribute it and/or modify
+# it under the terms of the GNU General Public License as published by
+# the Free Software Foundation, either version 2 of the License, or
+# (at your option) any later version.
+#
+# printNumbers is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+#
+# You should have received a copy of the GNU General Public License
+# along with printNumbers.  If not, see <http://www.gnu.org/licenses/>.
+
+def GaussianSummation(n):
+    '''
+    Helper function.
+    '''
+    if n == 0:
+        return n
+    else:
+        return GaussianSummation(n - 1) + n

printNumbers/parameters.py

@@ -29,6 +29,7 @@
 CONST_MAX_OPERAND_VAL = 20
 CONST_FUNC_CODE_FIBONACCI = 0
 CONST_FUNC_CODE_FACTORIAL = 1
+CONST_FUNC_CODE_GAUSSIAN_SUMMATION = 2
 
 class Parameters(object):
 
@@ -43,6 +44,8 @@ def __setParameters(self, cmdLineArgs):
             self.functionIndex = CONST_FUNC_CODE_FIBONACCI
         elif cmdLineArgs['--factorial']:
             self.functionIndex = CONST_FUNC_CODE_FACTORIAL
+        elif cmdLineArgs['--gaussiansummation']:
+            self.functionIndex = CONST_FUNC_CODE_GAUSSIAN_SUMMATION
 
     @property
     def operand(self):

printNumbers/printNumbers.py

@@ -27,24 +27,27 @@
 """
 Usage:
   printNumbers.py -h --help
-  printNumbers.py [--fibonacci|--factorial] <operand>
+  printNumbers.py [--fibonacci|--factorial|--gaussiansummation] <operand>
 
 Options:
-  -h --help       Print usage.
-  --fibonacci     Print the fibonacci sequence.
-  --factorial     Print the factorial.
+  -h --help               Print usage.
+  --fibonacci             Print the fibonacci sequence.
+  --factorial             Print the factorial.
+  --gaussiansummation     Print the sum of the first n integers
 """
 
 from docopt import docopt
 from parameters import *
 from functions.fibonacci import *
 from functions.factorial import *
+from functions.gaussian_summation import *
 
 #
 # FUNCTION TABLE
 #
-functionTable = { CONST_FUNC_CODE_FIBONACCI : FibonacciSequence,
+functionTable = { CONST_FUNC_CODE_FIBONACCI : FibonacciRecursion,
                   CONST_FUNC_CODE_FACTORIAL : Factorial,
+                  CONST_FUNC_CODE_GAUSSIAN_SUMMATION : GaussianSummation,
                 }
 
 #
@@ -67,3 +70,5 @@
         print('fib(' + str(params.operand) + ') =', result)
     elif params.functionIndex == CONST_FUNC_CODE_FACTORIAL:
         print(str(params.operand) + '! =', str(result))
+    elif params.functionIndex == CONST_FUNC_CODE_GAUSSIAN_SUMMATION:
+        print('gaussian_summation(' + str(params.operand) + ') =', result)

printNumbers/unittests/runTestSuite.py

@@ -27,13 +27,15 @@
 
 import test_factorial
 import test_fibonacci
+import test_gaussian_summation
 
 
 def suite():
     suite = unittest.TestSuite()
 
     suite.addTest(test_factorial.suite())
     suite.addTest(test_fibonacci.suite())
+    suite.addTest(test_gaussian_summation.suite())
 
     return suite
 

printNumbers/unittests/test_gaussian_summation.py

@@ -0,0 +1,56 @@
+# -*- coding: utf-8 -*-
+#
+# test_factorial.py
+#
+# This file is part of PrintNumbers.
+#
+# Copyright (C) 2022 C. Scherer, Simulation & Datalab Neuroscience, JSC, FZ Juelich
+#
+# PrintNumbers is free software: you can redistribute it and/or modify
+# it under the terms of the GNU General Public License as published by
+# the Free Software Foundation, either version 2 of the License, or
+# (at your option) any later version.
+#
+# PrintNumbers is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+#
+# You should have received a copy of the GNU General Public License
+# along with PrintNumbers.  If not, see <http://www.gnu.org/licenses/>.
+
+#
+# Unit tests: 'gaussian_summation'.
+#
+
+import sys, os
+sys.path.append(os.path.join(os.path.dirname(__file__), '..'))
+
+import unittest
+from functions.gaussian_summation import *
+
+class TestGaussianSummation(unittest.TestCase):
+
+    def test_value_0(self):
+        self.assertEqual(GaussianSummation(0), 0)
+
+    def test_value_1(self):
+        self.assertEqual(GaussianSummation(1), 1)
+
+    def test_value_2(self):
+        self.assertEqual(GaussianSummation(2), 3)
+
+    def test_value_20(self):
+        self.assertEqual(GaussianSummation(20), 210)
+
+
+def suite():
+    suite = unittest.makeSuite(TestGaussianSummation, 'test')
+    return suite
+
+def run():
+    runner = unittest.TextTestRunner(verbosity = 2)
+    runner.run(suite())
+
+if __name__ == "__main__":
+    run()