Index: third_party/lcov/example/methods/gauss.c |
=================================================================== |
--- third_party/lcov/example/methods/gauss.c (revision 0) |
+++ third_party/lcov/example/methods/gauss.c (revision 0) |
@@ -0,0 +1,48 @@ |
+/* |
+ * 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); |
+} |