Simplification of bits per macroblock estimate.

The bits per macroblock estimate based on Q had the form :-

Enumerator = X + (( X * Q) >> 12)
BitsPerMb = (Enumerator * correction_factor) / Q

Where X is a constant and Q is the quantizer (not quantizer index).

The secondary term in the calculation of Enumerator -  "((X * Q) >> 12)"
has only a modest impact and is never more than a few % for any
allowed value of Q.

This patch removes this term and tweaks the baseline value of X slightly.

As well as simplifying things there are small average gains in metrics.
(Av Psnr Ov Psnr, Ssim, Psnr-hvs)

Low Res: 0.034	0.006	-0.028	0.069
UCG 360: 0.069	-0.067	0.035	0.039
Mid Res: -0.077	-0.098	-0.154	-0.062
Hd Res:  -0.024	-0.076	-0.05	-0.008

STATS_CHANGED

Change-Id: I3ab4d07d2e404a9c62fb855b1128bed53268b5ae
diff --git a/av1/encoder/pass2_strategy.c b/av1/encoder/pass2_strategy.c
index bbc66f3..17cd1e4 100644
--- a/av1/encoder/pass2_strategy.c
+++ b/av1/encoder/pass2_strategy.c
@@ -173,7 +173,7 @@
     const int mid = (low + high) >> 1;
     const double mid_factor = calc_correction_factor(error_per_mb, mid);
     const double q = av1_convert_qindex_to_q(mid, bit_depth);
-    const int enumerator = 1600000 + ((int)(1600000 * q) >> 12);
+    const int enumerator = 1650000;
     const int mid_bits_per_mb =
         (int)((enumerator * mid_factor * group_weight_factor) / q);
 
diff --git a/av1/encoder/ratectrl.c b/av1/encoder/ratectrl.c
index 490d9ef..de96e97 100644
--- a/av1/encoder/ratectrl.c
+++ b/av1/encoder/ratectrl.c
@@ -155,13 +155,12 @@
 int av1_rc_bits_per_mb(FRAME_TYPE frame_type, int qindex,
                        double correction_factor, aom_bit_depth_t bit_depth) {
   const double q = av1_convert_qindex_to_q(qindex, bit_depth);
-  int enumerator = frame_type == KEY_FRAME ? 2000000 : 1440000;
+  int enumerator = frame_type == KEY_FRAME ? 2000000 : 1500000;
 
   assert(correction_factor <= MAX_BPB_FACTOR &&
          correction_factor >= MIN_BPB_FACTOR);
 
   // q based adjustment to baseline enumerator
-  enumerator += (int)(enumerator * q) >> 12;
   return (int)(enumerator * correction_factor / q);
 }
 
diff --git a/test/fwd_kf_test.cc b/test/fwd_kf_test.cc
index 6543d85..2a37ff1 100644
--- a/test/fwd_kf_test.cc
+++ b/test/fwd_kf_test.cc
@@ -23,7 +23,7 @@
 } FwdKfTestParam;
 
 const FwdKfTestParam kTestParams[] = {
-  { 4, 34.1 },  { 6, 33.4 },  { 8, 33.0 },
+  { 4, 34.0 },  { 6, 33.3 },  { 8, 33.0 },
   { 12, 32.4 }, { 16, 32.3 }, { 18, 32.1 }
 };