This doc file has the program to generate the constants to compute
sched averages.

Signed-off-by: Yuyang Du <yuyang...@intel.com>
---
 Documentation/scheduler/sched-avg.txt |   94 +++++++++++++++++++++++++++++++++
 1 file changed, 94 insertions(+)
 create mode 100644 Documentation/scheduler/sched-avg.txt

diff --git a/Documentation/scheduler/sched-avg.txt 
b/Documentation/scheduler/sched-avg.txt
new file mode 100644
index 0000000..45be4bd
--- /dev/null
+++ b/Documentation/scheduler/sched-avg.txt
@@ -0,0 +1,94 @@
+The following program is used to generate the constants for
+computing sched averages.
+
+==============================================================
+               C program (compile with -lm)
+==============================================================
+
+#include <math.h>
+#include <stdio.h>
+
+#define HALFLIFE 32
+#define SHIFT 32
+
+double y;
+
+void calc_decay_inv_multiply() {
+       int i;
+       unsigned int x;
+
+       printf("static const u32 __decay_inv_multiply_N[] = {");
+       for(i = 0; i < HALFLIFE; i++) {
+               x = ((1UL<<32)-1)*pow(y, i);
+
+               if (i % 6 == 0) printf("\n\t");
+               printf("0x%8x, ", x);
+       }
+       printf("\n};\n\n");
+}
+
+int sum = 1024;
+void calc_accumulated_sum() {
+       int i;
+
+       printf("static const u32 __accumulated_sum_N[] = {\n\t    0,");
+       for(i = 1; i <= HALFLIFE; i++) {
+               if (i == 1)
+                       sum *= y;
+               else
+                       sum = sum*y + 1024*y;
+
+               if (i % 11 == 0) printf("\n\t");
+               printf("%5d,", sum);
+       }
+       printf("\n};\n\n");
+}
+
+int n = 1;
+/* first period */
+long max = 1024;
+
+void calc_converged_max() {
+       long last = 0, y_inv = ((1UL<<32)-1)*y;
+
+       for (; ; n++) {
+               if (n > 1)
+                       max = ((max*y_inv)>>SHIFT) + 1024;
+                       /*
+                        * This is the same as:
+                        * max = max*y + 1024;
+                        */
+
+               if (last == max)
+                       break;
+
+               last = max;
+       }
+       n--;
+       printf("#define SCHED_AVG_HALFLIFE %d\n", HALFLIFE);
+       printf("#define SCHED_AVG_MAX %ld\n", max);
+       printf("#define SCHED_AVG_MAX_N %d\n\n", n);
+}
+
+void calc_accumulated_sum_32() {
+       int i, x = sum;
+
+       printf("static const u32 __accumulated_sum_N32[] = {\n\t     0,");
+       for(i = 1; i <= n/HALFLIFE+1; i++) {
+               if (i > 1)
+                       x = x/2 + sum;
+
+               if (i % 6 == 0) printf("\n\t");
+               printf("%6d,", x);
+       }
+       printf("\n};\n\n");
+}
+
+void main() {
+       y = pow(0.5, 1/(double)HALFLIFE);
+
+       calc_decay_inv_multiply();
+       calc_accumulated_sum();
+       calc_converged_max();
+       calc_accumulated_sum_32();
+}
-- 
1.7.9.5

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