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+/*
+ * methods/gauss.c
+ *
+ * Calculate the sum of a given range of integer numbers.
+ *
+ * Somewhat of a more subtle way of calculation - and it even has a story
+ * behind it:
+ *
+ * Supposedly during math classes in elementary school, the teacher of
+ * young mathematician Gauss gave the class an assignment to calculate the
+ * sum of all natural numbers between 1 and 100, hoping that this task would
+ * keep the kids occupied for some time. The story goes that Gauss had the
+ * result ready after only a few minutes. What he had written on his black
+ * board was something like this:
+ *
+ * 1 + 100 = 101
+ * 2 + 99 = 101
+ * 3 + 98 = 101
+ * .
+ * .
+ * 100 + 1 = 101
+ *
+ * s = (1/2) * 100 * 101 = 5050
+ *
+ * A more general form of this formula would be
+ *
+ * s = (1/2) * (max + min) * (max - min + 1)
+ *
+ * which is used in the piece of code below to implement the requested
+ * function in constant time, i.e. without dependencies on the size of the
+ * input parameters.
+ *
+ */
+
+#include "gauss.h"
+
+
+int gauss_get_sum (int min, int max)
+{
+ /* This algorithm doesn't work well with invalid range specifications
+ so we're intercepting them here. */
+ if (max < min)
+ {
+ return 0;
+ }
+
+ return (int) ((max + min) * (double) (max - min + 1) / 2);
+}