Tune linear->sRGB constants to round-trip all bytes.

src/core/SkSRGB.h

 /*
  * Copyright 2016 Google Inc.
  *
  * Use of this source code is governed by a BSD-style license that can be
  * found in the LICENSE file.
  */
 
 #ifndef SkSRGB_DEFINED
 #define SkSRGB_DEFINED
 
@@ skipping 12 matching lines @@
  *  The overflow is small enough to be handled by rounding.
  *  (But if you don't trust the inputs are in [0,1], you'd better clamp both sides immediately.)
  *
  *  sk_linear_to_srgb() will run a little faster than usual when compiled with SSE4.1+.
  */
 
 extern const float sk_linear_from_srgb[256];
 
 static inline Sk4f sk_linear_to_srgb(const Sk4f& x) {
     // Approximation of the sRGB gamma curve (within 1 when scaled to 8-bit pixels).
-    // For 0.00000f <= x <  0.00349f,    12.92 * x
-    // For 0.00349f <= x <= 1.00000f,    0.679*(x.^0.5) + 0.423*x.^(0.25) - 0.101
-    // Note that 0.00349 was selected because it is a point where both functions produce the
-    // same pixel value when rounded.
+    // Tuned by brute force to minimize the number of bytes that fail to round trip, here 0.
+    //
+    // TODO: It was easy enough to find these constants that we should probably further tune
+    // to find one that round trips all bytes correctly while minimizing some overall error.

[mtklein, 2016/07/20 00:57:50]

Another thought for a follow up:

12.93, -0.097, 0.689, 0.411, 0.005 is perfect after truncation, rather than
rounding.  

That'll be more ARM-friendly, but will require we simultaneously convert
Sk4f_round back to SkNx_cast<int>.

+
     auto rsqrt = x.rsqrt(),
          sqrt  = rsqrt.invert(),
          ftrt  = rsqrt.rsqrt();
 
-    auto lo = (12.92f * 255.0f) * x;
+    auto lo = (12.31f * 255.0f) * x;
 
-    auto hi = (-0.101115084998961f * 255.0f) +
-              (+0.678513029959381f * 255.0f) * sqrt +
-              (+0.422602055039580f * 255.0f) * ftrt;
+    auto hi = (-0.099f * 255.0f)
+            + (+0.689f * 255.0f) * sqrt
+            + (+0.411f * 255.0f) * ftrt;
 
-    return (x < 0.00349f).thenElse(lo, hi);
+    return (x < 0.005f).thenElse(lo, hi);
 }
 
 #endif//SkSRGB_DEFINED