Fixed pixel positioning and size for the Metal renderer
authorSam Lantinga <slouken@libsdl.org>
Sat, 09 Dec 2017 12:58:41 -0800
changeset 11751f5a8e41ac249
parent 11750 e2a349c9dd30
child 11752 5f52e99c49b0
Fixed pixel positioning and size for the Metal renderer
src/render/metal/SDL_render_metal.m
src/render/metal/SDL_shaders_metal.metal
src/render/metal/SDL_shaders_metal_ios.h
src/render/metal/SDL_shaders_metal_osx.h
     1.1 --- a/src/render/metal/SDL_render_metal.m	Sat Dec 09 03:28:23 2017 -0500
     1.2 +++ b/src/render/metal/SDL_render_metal.m	Sat Dec 09 12:58:41 2017 -0800
     1.3 @@ -96,8 +96,12 @@
     1.4       // (the weakest GPU supported by Metal on iOS has 4k texture max, and
     1.5       //  other models might be 2x or 4x more. On macOS, it's 16k across the
     1.6       //  board right now.)
     1.7 -     4096,
     1.8 -     4096}
     1.9 +#ifdef __MACOSX__
    1.10 +     16384, 16384
    1.11 +#else
    1.12 +     4096, 4096
    1.13 +#endif
    1.14 +    }
    1.15  };
    1.16  
    1.17  @interface METAL_RenderData : NSObject
    1.18 @@ -305,7 +309,7 @@
    1.19      data.mtllibrary.label = @"SDL Metal renderer shader library";
    1.20  
    1.21      data.mtlpipelineprims = [[NSMutableArray alloc] init];
    1.22 -    MakePipelineStates(data, data.mtlpipelineprims, @"SDL primitives pipeline", @"SDL_Simple_vertex", @"SDL_Simple_fragment");
    1.23 +    MakePipelineStates(data, data.mtlpipelineprims, @"SDL primitives pipeline", @"SDL_Solid_vertex", @"SDL_Solid_fragment");
    1.24      data.mtlpipelinecopy = [[NSMutableArray alloc] init];
    1.25      MakePipelineStates(data, data.mtlpipelinecopy, @"SDL_RenderCopy pipeline", @"SDL_Copy_vertex", @"SDL_Copy_fragment");
    1.26  
    1.27 @@ -559,17 +563,18 @@
    1.28  
    1.29  // normalize a value from 0.0f to len into -1.0f to 1.0f.
    1.30  static inline float
    1.31 -norm(const float _val, const float len)
    1.32 +normx(const float _val, const float len)
    1.33  {
    1.34      const float val = (_val < 0.0f) ? 0.0f : (_val > len) ? len : _val;
    1.35 -    return ((val / len) * 2.0f) - 1.0f;  // !!! FIXME: is this right?
    1.36 +    return (((val + 0.5f) / len) * 2.0f) - 1.0f;
    1.37  }
    1.38  
    1.39  // normalize a value from 0.0f to len into -1.0f to 1.0f.
    1.40  static inline float
    1.41  normy(const float _val, const float len)
    1.42  {
    1.43 -    return norm(len - ((_val < 0.0f) ? 0.0f : (_val > len) ? len : _val), len);
    1.44 +    const float val = (_val <= 0.0f) ? len : (_val >= len) ? 0.0f : (len - _val);
    1.45 +    return (((val - 0.5f) / len) * 2.0f) - 1.0f;
    1.46  }
    1.47  
    1.48  // normalize a value from 0.0f to len into 0.0f to 1.0f.
    1.49 @@ -577,7 +582,7 @@
    1.50  normtex(const float _val, const float len)
    1.51  {
    1.52      const float val = (_val < 0.0f) ? 0.0f : (_val > len) ? len : _val;
    1.53 -    return (val / len);
    1.54 +    return ((val + 0.5f) / len);
    1.55  }
    1.56  
    1.57  static int
    1.58 @@ -606,7 +611,7 @@
    1.59      // !!! FIXME: we can convert this in the shader. This will save the malloc and for-loop, but we still need to upload.
    1.60      float *ptr = verts;
    1.61      for (int i = 0; i < count; i++, points++) {
    1.62 -        *ptr = norm(points->x, w); ptr++;
    1.63 +        *ptr = normx(points->x, w); ptr++;
    1.64          *ptr = normy(points->y, h); ptr++;
    1.65      }
    1.66  
    1.67 @@ -648,11 +653,11 @@
    1.68          if ((rects->w <= 0.0f) || (rects->h <= 0.0f)) continue;
    1.69  
    1.70          const float verts[] = {
    1.71 -            norm(rects->x, w), normy(rects->y + rects->h, h),
    1.72 -            norm(rects->x, w), normy(rects->y, h),
    1.73 -            norm(rects->x + rects->w, w), normy(rects->y, h),
    1.74 -            norm(rects->x, w), normy(rects->y + rects->h, h),
    1.75 -            norm(rects->x + rects->w, w), normy(rects->y + rects->h, h)
    1.76 +            normx(rects->x, w), normy(rects->y + rects->h, h),
    1.77 +            normx(rects->x, w), normy(rects->y, h),
    1.78 +            normx(rects->x + rects->w, w), normy(rects->y, h),
    1.79 +            normx(rects->x, w), normy(rects->y + rects->h, h),
    1.80 +            normx(rects->x + rects->w, w), normy(rects->y + rects->h, h)
    1.81          };
    1.82  
    1.83          [data.mtlcmdencoder setVertexBytes:verts length:sizeof(verts) atIndex:0];
    1.84 @@ -675,11 +680,11 @@
    1.85      const float texh = (float) mtltexture.height;
    1.86  
    1.87      const float xy[] = {
    1.88 -        norm(dstrect->x, w), normy(dstrect->y + dstrect->h, h),
    1.89 -        norm(dstrect->x, w), normy(dstrect->y, h),
    1.90 -        norm(dstrect->x + dstrect->w, w), normy(dstrect->y, h),
    1.91 -        norm(dstrect->x, w), normy(dstrect->y + dstrect->h, h),
    1.92 -        norm(dstrect->x + dstrect->w, w), normy(dstrect->y + dstrect->h, h)
    1.93 +        normx(dstrect->x, w), normy(dstrect->y + dstrect->h, h),
    1.94 +        normx(dstrect->x, w), normy(dstrect->y, h),
    1.95 +        normx(dstrect->x + dstrect->w, w), normy(dstrect->y, h),
    1.96 +        normx(dstrect->x, w), normy(dstrect->y + dstrect->h, h),
    1.97 +        normx(dstrect->x + dstrect->w, w), normy(dstrect->y + dstrect->h, h)
    1.98      };
    1.99  
   1.100      const float uv[] = {
   1.101 @@ -768,7 +773,9 @@
   1.102  METAL_DestroyTexture(SDL_Renderer * renderer, SDL_Texture * texture)
   1.103  { @autoreleasepool {
   1.104      id<MTLTexture> mtltexture = CFBridgingRelease(texture->driverdata);
   1.105 -#if !__has_feature(objc_arc)
   1.106 +#if __has_feature(objc_arc)
   1.107 +    mtltexture = nil;
   1.108 +#else
   1.109      [mtltexture release];
   1.110  #endif
   1.111      texture->driverdata = NULL;
     2.1 --- a/src/render/metal/SDL_shaders_metal.metal	Sat Dec 09 03:28:23 2017 -0500
     2.2 +++ b/src/render/metal/SDL_shaders_metal.metal	Sat Dec 09 12:58:41 2017 -0800
     2.3 @@ -2,12 +2,21 @@
     2.4  
     2.5  using namespace metal;
     2.6  
     2.7 -vertex float4 SDL_Simple_vertex(constant float2 *position [[buffer(0)]], uint vid [[vertex_id]])
     2.8 +struct SolidVertex
     2.9  {
    2.10 -    return float4(position[vid].x, position[vid].y, 0.0f, 1.0f);
    2.11 +	float4 position [[position]];
    2.12 +	float pointSize [[point_size]];
    2.13 +};
    2.14 +
    2.15 +vertex SolidVertex SDL_Solid_vertex(constant float2 *position [[buffer(0)]], uint vid [[vertex_id]])
    2.16 +{
    2.17 +    SolidVertex v;
    2.18 +	v.position = float4(position[vid].x, position[vid].y, 0.0f, 1.0f);
    2.19 +	v.pointSize = 0.5f;
    2.20 +	return v;
    2.21  }
    2.22   
    2.23 -fragment float4 SDL_Simple_fragment(constant float4 &col [[buffer(0)]])
    2.24 +fragment float4 SDL_Solid_fragment(constant float4 &col [[buffer(0)]])
    2.25  {
    2.26      return col;
    2.27  }
    2.28 @@ -20,10 +29,10 @@
    2.29  
    2.30  vertex CopyVertex SDL_Copy_vertex(constant float2 *position [[buffer(0)]], constant float2 *texcoords [[buffer(1)]], uint vid [[vertex_id]])
    2.31  {
    2.32 -    CopyVertex retval;
    2.33 -    retval.position = float4(position[vid].x, position[vid].y, 0.0f, 1.0f);
    2.34 -    retval.texcoord = texcoords[vid];
    2.35 -    return retval;
    2.36 +    CopyVertex v;
    2.37 +    v.position = float4(position[vid].x, position[vid].y, 0.0f, 1.0f);
    2.38 +    v.texcoord = texcoords[vid];
    2.39 +    return v;
    2.40  }
    2.41  
    2.42  fragment float4 SDL_Copy_fragment(CopyVertex vert [[stage_in]], constant float4 &col [[buffer(0)]], texture2d<float> tex [[texture(0)]])
     3.1 --- a/src/render/metal/SDL_shaders_metal_ios.h	Sat Dec 09 03:28:23 2017 -0500
     3.2 +++ b/src/render/metal/SDL_shaders_metal_ios.h	Sat Dec 09 12:58:41 2017 -0800
     3.3 @@ -1,851 +1,859 @@
     3.4  const unsigned char sdl_metallib[] = {
     3.5    0x4d, 0x54, 0x4c, 0x42, 0x01, 0x00, 0x02, 0x00, 0x02, 0x00, 0x00, 0x00,
     3.6 -  0x00, 0x00, 0x00, 0x00, 0xc0, 0x27, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
     3.7 -  0x58, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xe4, 0x01, 0x00, 0x00,
     3.8 -  0x00, 0x00, 0x00, 0x00, 0x40, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
     3.9 -  0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x60, 0x02, 0x00, 0x00,
    3.10 +  0x00, 0x00, 0x00, 0x00, 0x1e, 0x28, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
    3.11 +  0x58, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xe2, 0x01, 0x00, 0x00,
    3.12 +  0x00, 0x00, 0x00, 0x00, 0x3e, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
    3.13 +  0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x5e, 0x02, 0x00, 0x00,
    3.14    0x00, 0x00, 0x00, 0x00, 0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
    3.15 -  0x80, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x40, 0x25, 0x00, 0x00,
    3.16 -  0x00, 0x00, 0x00, 0x00, 0x04, 0x00, 0x00, 0x00, 0x79, 0x00, 0x00, 0x00,
    3.17 -  0x4e, 0x41, 0x4d, 0x45, 0x12, 0x00, 0x53, 0x44, 0x4c, 0x5f, 0x53, 0x69,
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    3.20 -  0x00, 0x6f, 0x0a, 0xfd, 0x4b, 0x39, 0xbd, 0x37, 0x27, 0x3a, 0xcf, 0xbf,
    3.21 -  0x7a, 0x61, 0xa5, 0x8d, 0x68, 0x77, 0xcb, 0xa0, 0xc7, 0xb8, 0x24, 0xf3,
    3.22 -  0xa2, 0x44, 0xb8, 0x66, 0x82, 0xa9, 0xba, 0xb4, 0xb9, 0x4f, 0x46, 0x46,
    3.23 -  0x54, 0x18, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
    3.24 +  0x7e, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xa0, 0x25, 0x00, 0x00,
    3.25 +  0x00, 0x00, 0x00, 0x00, 0x04, 0x00, 0x00, 0x00, 0x78, 0x00, 0x00, 0x00,
    3.26 +  0x4e, 0x41, 0x4d, 0x45, 0x11, 0x00, 0x53, 0x44, 0x4c, 0x5f, 0x53, 0x6f,
    3.27 +  0x6c, 0x69, 0x64, 0x5f, 0x76, 0x65, 0x72, 0x74, 0x65, 0x78, 0x00, 0x54,
    3.28 +  0x59, 0x50, 0x45, 0x01, 0x00, 0x00, 0x48, 0x41, 0x53, 0x48, 0x20, 0x00,
    3.29 +  0x4a, 0x79, 0x52, 0xb9, 0xf4, 0xa1, 0x18, 0x24, 0xdd, 0x58, 0xee, 0x1a,
    3.30 +  0xe2, 0x56, 0x4d, 0xcd, 0x37, 0x01, 0x7f, 0xcc, 0xe6, 0x1e, 0x1e, 0xb0,
    3.31 +  0x02, 0x66, 0xca, 0x04, 0x17, 0x36, 0x0c, 0xfd, 0x4f, 0x46, 0x46, 0x54,
    3.32 +  0x18, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
    3.33    0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
    3.34 +  0x00, 0x00, 0x56, 0x45, 0x52, 0x53, 0x08, 0x00, 0x01, 0x00, 0x08, 0x00,
    3.35 +  0x01, 0x00, 0x01, 0x00, 0x45, 0x4e, 0x44, 0x54, 0x77, 0x00, 0x00, 0x00,
    3.36 +  0x4e, 0x41, 0x4d, 0x45, 0x10, 0x00, 0x53, 0x44, 0x4c, 0x5f, 0x43, 0x6f,
    3.37 +  0x70, 0x79, 0x5f, 0x76, 0x65, 0x72, 0x74, 0x65, 0x78, 0x00, 0x54, 0x59,
    3.38 +  0x50, 0x45, 0x01, 0x00, 0x00, 0x48, 0x41, 0x53, 0x48, 0x20, 0x00, 0x99,
    3.39 +  0x55, 0xd2, 0x9f, 0xe3, 0xf8, 0x99, 0xed, 0xcd, 0x6a, 0x15, 0x1a, 0x63,
    3.40 +  0x9e, 0x3e, 0x01, 0x2a, 0xdd, 0xe5, 0x33, 0x5a, 0xfe, 0x17, 0x40, 0x2a,
    3.41 +  0x6a, 0x02, 0xbe, 0xad, 0x02, 0x23, 0x2b, 0x4f, 0x46, 0x46, 0x54, 0x18,
    3.42 +  0x00, 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x08, 0x00, 0x00,
    3.43 +  0x00, 0x00, 0x00, 0x00, 0x00, 0x10, 0x09, 0x00, 0x00, 0x00, 0x00, 0x00,
    3.44 +  0x00, 0x56, 0x45, 0x52, 0x53, 0x08, 0x00, 0x01, 0x00, 0x08, 0x00, 0x01,
    3.45 +  0x00, 0x01, 0x00, 0x45, 0x4e, 0x44, 0x54, 0x7a, 0x00, 0x00, 0x00, 0x4e,
    3.46 +  0x41, 0x4d, 0x45, 0x13, 0x00, 0x53, 0x44, 0x4c, 0x5f, 0x53, 0x6f, 0x6c,
    3.47 +  0x69, 0x64, 0x5f, 0x66, 0x72, 0x61, 0x67, 0x6d, 0x65, 0x6e, 0x74, 0x00,
    3.48 +  0x54, 0x59, 0x50, 0x45, 0x01, 0x00, 0x01, 0x48, 0x41, 0x53, 0x48, 0x20,
    3.49 +  0x00, 0x4a, 0x07, 0x48, 0xd3, 0xb7, 0x7a, 0x3a, 0x01, 0x6c, 0xaa, 0x80,
    3.50 +  0xde, 0x84, 0x6e, 0x3c, 0x9a, 0xdd, 0x55, 0x90, 0x43, 0xa6, 0xdd, 0xbb,
    3.51 +  0xd6, 0xeb, 0xea, 0x81, 0x62, 0xf6, 0x50, 0x04, 0x95, 0x4f, 0x46, 0x46,
    3.52 +  0x54, 0x18, 0x00, 0x10, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10,
    3.53 +  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xa0, 0x12, 0x00, 0x00, 0x00,
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    3.55 -  0x00, 0x01, 0x00, 0x01, 0x00, 0x45, 0x4e, 0x44, 0x54, 0x77, 0x00, 0x00,
    3.56 -  0x00, 0x4e, 0x41, 0x4d, 0x45, 0x10, 0x00, 0x53, 0x44, 0x4c, 0x5f, 0x43,
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    3.59 -  0x99, 0x55, 0xd2, 0x9f, 0xe3, 0xf8, 0x99, 0xed, 0xcd, 0x6a, 0x15, 0x1a,
    3.60 -  0x63, 0x9e, 0x3e, 0x01, 0x2a, 0xdd, 0xe5, 0x33, 0x5a, 0xfe, 0x17, 0x40,
    3.61 -  0x2a, 0x6a, 0x02, 0xbe, 0xad, 0x02, 0x23, 0x2b, 0x4f, 0x46, 0x46, 0x54,
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    3.66 -  0x4e, 0x41, 0x4d, 0x45, 0x14, 0x00, 0x53, 0x44, 0x4c, 0x5f, 0x53, 0x69,
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    3.70 -  0x03, 0x99, 0xda, 0xa8, 0xd9, 0x12, 0xdb, 0xdb, 0x17, 0xaf, 0x3e, 0x30,
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    3.73 -  0x00, 0x10, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x40, 0x12, 0x00,
    3.74 -  0x00, 0x00, 0x00, 0x00, 0x00, 0x56, 0x45, 0x52, 0x53, 0x08, 0x00, 0x01,
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    3.76 -  0x00, 0x00, 0x00, 0x4e, 0x41, 0x4d, 0x45, 0x12, 0x00, 0x53, 0x44, 0x4c,
    3.77 -  0x5f, 0x43, 0x6f, 0x70, 0x79, 0x5f, 0x66, 0x72, 0x61, 0x67, 0x6d, 0x65,
    3.78 -  0x6e, 0x74, 0x00, 0x54, 0x59, 0x50, 0x45, 0x01, 0x00, 0x01, 0x48, 0x41,
    3.79 -  0x53, 0x48, 0x20, 0x00, 0x3a, 0x75, 0xa8, 0x3f, 0x71, 0x6e, 0x8b, 0x2a,
    3.80 -  0x10, 0x83, 0x66, 0x9f, 0xa0, 0xb7, 0x27, 0x1f, 0x89, 0x2c, 0x16, 0x06,
    3.81 -  0x6a, 0x5b, 0x15, 0x0f, 0xc0, 0x20, 0xc9, 0x05, 0xed, 0xec, 0x7f, 0xce,
    3.82 -  0x4f, 0x46, 0x46, 0x54, 0x18, 0x00, 0x18, 0x00, 0x00, 0x00, 0x00, 0x00,
    3.83 -  0x00, 0x00, 0x18, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xf0, 0x1a,
    3.84 -  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x56, 0x45, 0x52, 0x53, 0x08, 0x00,
    3.85 -  0x01, 0x00, 0x08, 0x00, 0x01, 0x00, 0x01, 0x00, 0x45, 0x4e, 0x44, 0x54,
    3.86 -  0x04, 0x00, 0x00, 0x00, 0x45, 0x4e, 0x44, 0x54, 0x04, 0x00, 0x00, 0x00,
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   3.919 -  0xd5, 0x06, 0x72, 0x19, 0xfe, 0xff, 0xff, 0xff, 0x7f, 0x00, 0x24, 0xa0,
   3.920 -  0x22, 0xc6, 0xe1, 0x1d, 0xe4, 0x41, 0x1e, 0xca, 0x61, 0x1c, 0xe8, 0x81,
   3.921 -  0x1d, 0xf2, 0xa1, 0x0d, 0xe4, 0xe1, 0x1d, 0xea, 0xc1, 0x1d, 0xc8, 0xa1,
   3.922 -  0x1c, 0xc8, 0xa1, 0x0d, 0xc8, 0x21, 0x1d, 0xec, 0x21, 0x1d, 0xc8, 0xa1,
   3.923 -  0x1c, 0xda, 0x60, 0x1e, 0xe2, 0x41, 0x1e, 0xe8, 0xa1, 0x0d, 0xcc, 0x01,
   3.924 -  0x1e, 0xda, 0xa0, 0x1d, 0xc2, 0x81, 0x1e, 0xd0, 0x01, 0x30, 0x87, 0x70,
   3.925 -  0x60, 0x87, 0x79, 0x28, 0x07, 0x80, 0x20, 0x87, 0x74, 0x98, 0x87, 0x70,
   3.926 -  0x10, 0x07, 0x76, 0x28, 0x87, 0x36, 0xa0, 0x87, 0x70, 0x48, 0x07, 0x76,
   3.927 -  0x68, 0x83, 0x71, 0x08, 0x07, 0x76, 0x60, 0x87, 0x79, 0x00, 0xcc, 0x21,
   3.928 -  0x1c, 0xd8, 0x61, 0x1e, 0xca, 0x01, 0x20, 0xd8, 0xa1, 0x1c, 0xe6, 0x61,
   3.929 -  0x1e, 0xda, 0x00, 0x1e, 0xe4, 0xa1, 0x1c, 0xc6, 0x21, 0x1d, 0xe6, 0xa1,
   3.930 -  0x1c, 0xda, 0xc0, 0x1c, 0xe0, 0xa1, 0x1d, 0xc2, 0x81, 0x1c, 0x00, 0x7a,
   3.931 -  0x90, 0x87, 0x7a, 0x28, 0x07, 0x80, 0x70, 0x87, 0x77, 0x68, 0x03, 0x73,
   3.932 -  0x90, 0x87, 0x70, 0x68, 0x87, 0x72, 0x68, 0x03, 0x78, 0x78, 0x87, 0x74,
   3.933 -  0x70, 0x07, 0x7a, 0x28, 0x07, 0x79, 0x68, 0x83, 0x72, 0x60, 0x87, 0x74,
   3.934 -  0x68, 0x07, 0x80, 0x1e, 0xe4, 0xa1, 0x1e, 0xca, 0x01, 0x18, 0xdc, 0xe1,
   3.935 -  0x1d, 0xda, 0xc0, 0x1c, 0xe4, 0x21, 0x1c, 0xda, 0xa1, 0x1c, 0xda, 0x00,
   3.936 -  0x1e, 0xde, 0x21, 0x1d, 0xdc, 0x81, 0x1e, 0xca, 0x41, 0x1e, 0xda, 0xa0,
   3.937 -  0x1c, 0xd8, 0x21, 0x1d, 0xda, 0xa1, 0x0d, 0xdc, 0xe1, 0x1d, 0xdc, 0xa1,
   3.938 -  0x0d, 0xd8, 0xa1, 0x1c, 0xc2, 0xc1, 0x1c, 0x00, 0xc2, 0x1d, 0xde, 0xa1,
   3.939 -  0x0d, 0xd2, 0xc1, 0x1d, 0xcc, 0x61, 0x1e, 0xda, 0xc0, 0x1c, 0xe0, 0xa1,
   3.940 -  0x0d, 0xda, 0x21, 0x1c, 0xe8, 0x01, 0x1d, 0x00, 0x7a, 0x90, 0x87, 0x7a,
   3.941 -  0x28, 0x07, 0x80, 0x70, 0x87, 0x77, 0x68, 0x03, 0x75, 0xa8, 0x87, 0x76,
   3.942 -  0x80, 0x87, 0x36, 0xa0, 0x87, 0x70, 0x10, 0x07, 0x76, 0x28, 0x87, 0x79,
   3.943 -  0x00, 0xcc, 0x21, 0x1c, 0xd8, 0x61, 0x1e, 0xca, 0x01, 0x20, 0xdc, 0xe1,
   3.944 -  0x1d, 0xda, 0xc0, 0x1d, 0xc2, 0xc1, 0x1d, 0xe6, 0xa1, 0x0d, 0xcc, 0x01,
   3.945 -  0x1e, 0xda, 0xa0, 0x1d, 0xc2, 0x81, 0x1e, 0xd0, 0x01, 0xa0, 0x07, 0x79,
   3.946 -  0xa8, 0x87, 0x72, 0x00, 0x08, 0x77, 0x78, 0x87, 0x36, 0x98, 0x87, 0x74,
   3.947 -  0x38, 0x07, 0x77, 0x28, 0x07, 0x72, 0x68, 0x03, 0x7d, 0x28, 0x07, 0x79,
   3.948 -  0x78, 0x87, 0x79, 0x68, 0x03, 0x73, 0x80, 0x87, 0x36, 0x68, 0x87, 0x70,
   3.949 -  0xa0, 0x07, 0x74, 0x00, 0xcc, 0x21, 0x1c, 0xd8, 0x61, 0x1e, 0xca, 0x01,
   3.950 -  0x20, 0xe6, 0x81, 0x1e, 0xc2, 0x61, 0x1c, 0xd6, 0xa1, 0x0d, 0xe0, 0x41,
   3.951 -  0x1e, 0xde, 0x81, 0x1e, 0xca, 0x61, 0x1c, 0xe8, 0xe1, 0x1d, 0xe4, 0xa1,
   3.952 -  0x0d, 0xc4, 0xa1, 0x1e, 0xcc, 0xc1, 0x1c, 0xca, 0x41, 0x1e, 0xda, 0x60,
   3.953 -  0x1e, 0xd2, 0x41, 0x1f, 0xca, 0x01, 0xc0, 0x03, 0x80, 0xa0, 0x87, 0x70,
   3.954 -  0x90, 0x87, 0x73, 0x28, 0x07, 0x7a, 0x68, 0x03, 0x73, 0x28, 0x87, 0x70,
   3.955 -  0xa0, 0x87, 0x7a, 0x90, 0x87, 0x72, 0x98, 0x07, 0xa0, 0x0d, 0xcc, 0x01,
   3.956 -  0x1e, 0xe2, 0xc0, 0x0e, 0x00, 0xa2, 0x1e, 0xdc, 0x61, 0x1e, 0xc2, 0xc1,
   3.957 -  0x1c, 0xca, 0xa1, 0x0d, 0xcc, 0x01, 0x1e, 0xda, 0xa0, 0x1d, 0xc2, 0x81,
   3.958 -  0x1e, 0xd0, 0x01, 0xa0, 0x07, 0x79, 0xa8, 0x87, 0x72, 0x00, 0x88, 0x7a,
   3.959 -  0x98, 0x87, 0x72, 0x68, 0x83, 0x79, 0x78, 0x07, 0x73, 0xa0, 0x87, 0x36,
   3.960 -  0x30, 0x07, 0x76, 0x78, 0x87, 0x70, 0xa0, 0x07, 0xc0, 0x1c, 0xc2, 0x81,
   3.961 -  0x1d, 0xe6, 0xa1, 0x1c, 0x00, 0x00, 0x00, 0x00, 0x49, 0x18, 0x00, 0x00,
   3.962 -  0x02, 0x00, 0x00, 0x00, 0x13, 0x86, 0x40, 0x18, 0x00, 0x00, 0x00, 0x00,
   3.963 -  0x89, 0x20, 0x00, 0x00, 0x14, 0x00, 0x00, 0x00, 0x32, 0x22, 0x08, 0x09,
   3.964 -  0x20, 0x64, 0x85, 0x04, 0x13, 0x22, 0xa4, 0x84, 0x04, 0x13, 0x22, 0xe3,
   3.965 -  0x84, 0xa1, 0x90, 0x14, 0x12, 0x4c, 0x88, 0x8c, 0x0b, 0x84, 0x84, 0x4c,
   3.966 -  0x10, 0x2c, 0x33, 0x00, 0xc3, 0x08, 0x04, 0x30, 0x8c, 0x20, 0x00, 0x87,
   3.967 -  0x49, 0x53, 0x44, 0x09, 0x93, 0xcf, 0x39, 0x0f, 0xf6, 0x12, 0xd1, 0x44,
   3.968 -  0x5c, 0xfe, 0x03, 0x08, 0x0a, 0x31, 0x60, 0x21, 0x64, 0x10, 0x41, 0x10,
   3.969 -  0xe6, 0x08, 0xc0, 0xa0, 0x10, 0x43, 0x54, 0x64, 0x03, 0x01, 0x73, 0x04,
   3.970 -  0xa0, 0x30, 0x02, 0x00, 0x13, 0xa8, 0x70, 0x48, 0x07, 0x79, 0xb0, 0x03,
   3.971 -  0x3a, 0x68, 0x83, 0x70, 0x80, 0x07, 0x78, 0x60, 0x87, 0x72, 0x68, 0x83,
   3.972 -  0x74, 0x78, 0x87, 0x79, 0xc8, 0x03, 0x37, 0x80, 0x03, 0x37, 0x80, 0x83,
   3.973 -  0x0d, 0xef, 0x51, 0x0e, 0x6d, 0x00, 0x0f, 0x7a, 0x60, 0x07, 0x74, 0xa0,
   3.974 -  0x07, 0x76, 0x40, 0x07, 0x7a, 0x60, 0x07, 0x74, 0xd0, 0x06, 0xe9, 0x10,
   3.975 -  0x07, 0x7a, 0x80, 0x07, 0x7a, 0x80, 0x07, 0x6d, 0x90, 0x0e, 0x78, 0xa0,
   3.976 -  0x07, 0x78, 0xa0, 0x07, 0x78, 0xd0, 0x06, 0xe9, 0x10, 0x07, 0x76, 0xa0,
   3.977 -  0x07, 0x71, 0x60, 0x07, 0x7a, 0x10, 0x07, 0x76, 0xd0, 0x06, 0xe9, 0x30,
   3.978 -  0x07, 0x72, 0xa0, 0x07, 0x73, 0x20, 0x07, 0x7a, 0x30, 0x07, 0x72, 0xd0,
   3.979 -  0x06, 0xe9, 0x60, 0x07, 0x74, 0xa0, 0x07, 0x76, 0x40, 0x07, 0x7a, 0x60,
   3.980 -  0x07, 0x74, 0xd0, 0x06, 0xe6, 0x30, 0x07, 0x72, 0xa0, 0x07, 0x73, 0x20,
   3.981 -  0x07, 0x7a, 0x30, 0x07, 0x72, 0xd0, 0x06, 0xe6, 0x60, 0x07, 0x74, 0xa0,
   3.982 -  0x07, 0x76, 0x40, 0x07, 0x7a, 0x60, 0x07, 0x74, 0xd0, 0x06, 0xe6, 0x80,
   3.983 -  0x07, 0x70, 0xa0, 0x07, 0x71, 0x20, 0x07, 0x78, 0xa0, 0x07, 0x71, 0x20,
   3.984 -  0x07, 0x78, 0xd0, 0x06, 0xf6, 0x10, 0x07, 0x76, 0xa0, 0x07, 0x71, 0x60,
   3.985 -  0x07, 0x7a, 0x10, 0x07, 0x76, 0xd0, 0x06, 0xf6, 0x20, 0x07, 0x74, 0xa0,
   3.986 -  0x07, 0x73, 0x20, 0x07, 0x7a, 0x30, 0x07, 0x72, 0xd0, 0x06, 0xf6, 0x30,
   3.987 -  0x07, 0x72, 0xa0, 0x07, 0x73, 0x20, 0x07, 0x7a, 0x30, 0x07, 0x72, 0xd0,
   3.988 -  0x06, 0xf6, 0x40, 0x07, 0x78, 0xa0, 0x07, 0x76, 0x40, 0x07, 0x7a, 0x60,
   3.989 -  0x07, 0x74, 0xd0, 0x06, 0xf6, 0x60, 0x07, 0x74, 0xa0, 0x07, 0x76, 0x40,
   3.990 -  0x07, 0x7a, 0x60, 0x07, 0x74, 0xd0, 0x06, 0xf6, 0x90, 0x07, 0x76, 0xa0,
   3.991 -  0x07, 0x71, 0x20, 0x07, 0x78, 0xa0, 0x07, 0x71, 0x20, 0x07, 0x78, 0xd0,
   3.992 -  0x06, 0xf6, 0x10, 0x07, 0x72, 0x80, 0x07, 0x7a, 0x10, 0x07, 0x72, 0x80,
   3.993 -  0x07, 0x7a, 0x10, 0x07, 0x72, 0x80, 0x07, 0x6d, 0x60, 0x0f, 0x71, 0x90,
   3.994 -  0x07, 0x72, 0xa0, 0x07, 0x72, 0x50, 0x07, 0x76, 0xa0, 0x07, 0x72, 0x50,
   3.995 -  0x07, 0x76, 0xd0, 0x06, 0xf6, 0x20, 0x07, 0x75, 0x60, 0x07, 0x7a, 0x20,
   3.996 -  0x07, 0x75, 0x60, 0x07, 0x7a, 0x20, 0x07, 0x75, 0x60, 0x07, 0x6d, 0x60,
   3.997 -  0x0f, 0x75, 0x10, 0x07, 0x72, 0xa0, 0x07, 0x75, 0x10, 0x07, 0x72, 0xa0,
   3.998 -  0x07, 0x75, 0x10, 0x07, 0x72, 0xd0, 0x06, 0xf6, 0x10, 0x07, 0x70, 0x20,
   3.999 -  0x07, 0x74, 0xa0, 0x07, 0x71, 0x00, 0x07, 0x72, 0x40, 0x07, 0x7a, 0x10,
  3.1000 -  0x07, 0x70, 0x20, 0x07, 0x74, 0xd0, 0x06, 0xe6, 0x80, 0x07, 0x70, 0xa0,
  3.1001 -  0x07, 0x71, 0x20, 0x07, 0x78, 0xa0, 0x07, 0x71, 0x20, 0x07, 0x78, 0xd0,
  3.1002 -  0x06, 0xee, 0x80, 0x07, 0x7a, 0x10, 0x07, 0x76, 0xa0, 0x07, 0x73, 0x20,
  3.1003 -  0x07, 0x43, 0x98, 0x03, 0x00, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80,
  3.1004 -  0x2c, 0x10, 0x00, 0x00, 0x07, 0x00, 0x00, 0x00, 0x32, 0x1e, 0x98, 0x0c,
  3.1005 -  0x19, 0x11, 0x4c, 0x90, 0x8c, 0x09, 0x26, 0x47, 0xc6, 0x04, 0x43, 0xaa,
  3.1006 -  0x12, 0x28, 0x88, 0x11, 0x80, 0x22, 0xa0, 0x1c, 0x01, 0x00, 0x00, 0x00,
  3.1007 -  0x79, 0x18, 0x00, 0x00, 0xb8, 0x00, 0x00, 0x00, 0x1a, 0x03, 0x4c, 0x10,
  3.1008 -  0xd7, 0x20, 0x08, 0x0e, 0x8e, 0xad, 0x0c, 0x84, 0x89, 0xc9, 0xaa, 0x09,
  3.1009 -  0xc4, 0xae, 0x4c, 0x6e, 0x2e, 0xed, 0xcd, 0x0d, 0x04, 0x07, 0x46, 0xc6,
  3.1010 -  0x25, 0x06, 0x04, 0xa5, 0xad, 0x8c, 0x2e, 0x8c, 0xcd, 0xac, 0xac, 0x05,
  3.1011 -  0x07, 0x46, 0xc6, 0x25, 0xc6, 0x65, 0x86, 0x26, 0x65, 0x88, 0x80, 0x00,
  3.1012 -  0x43, 0x8c, 0x22, 0x28, 0x84, 0x62, 0x60, 0xd1, 0x54, 0x46, 0x17, 0xc6,
  3.1013 -  0x36, 0x04, 0x41, 0x86, 0x22, 0x28, 0x82, 0x62, 0xe0, 0x16, 0x96, 0x26,
  3.1014 -  0xe7, 0x32, 0xf6, 0xd6, 0x06, 0x97, 0xc6, 0x56, 0xe6, 0x42, 0x56, 0xe6,
  3.1015 -  0xf6, 0x26, 0xd7, 0x36, 0xf7, 0x45, 0x96, 0x36, 0x17, 0x26, 0xc6, 0x56,
  3.1016 -  0x36, 0x44, 0x40, 0x0a, 0x72, 0x61, 0x69, 0x72, 0x2e, 0x63, 0x6f, 0x6d,
  3.1017 -  0x70, 0x69, 0x6c, 0x65, 0x2e, 0x66, 0x61, 0x73, 0x74, 0x5f, 0x6d, 0x61,
  3.1018 -  0x74, 0x68, 0x5f, 0x65, 0x6e, 0x61, 0x62, 0x6c, 0x65, 0x43, 0x04, 0xe4,
  3.1019 -  0x20, 0x19, 0x84, 0xa5, 0xc9, 0xb9, 0x8c, 0xbd, 0xb5, 0xc1, 0xa5, 0xb1,
  3.1020 -  0x95, 0xb9, 0x98, 0xc9, 0x85, 0xb5, 0x95, 0x89, 0xd5, 0x99, 0x99, 0x95,
  3.1021 -  0xc9, 0x7d, 0x99, 0x95, 0xd1, 0x8d, 0xa1, 0x7d, 0x95, 0xb9, 0x85, 0x89,
  3.1022 -  0xb1, 0x95, 0x0d, 0x11, 0x90, 0x84, 0x61, 0x10, 0x96, 0x26, 0xe7, 0x32,
  3.1023 -  0xf6, 0xd6, 0x06, 0x97, 0xc6, 0x56, 0xe6, 0xe2, 0x16, 0x46, 0x97, 0x66,
  3.1024 -  0x57, 0xf6, 0x45, 0xf6, 0x56, 0x27, 0xc6, 0x56, 0xf6, 0x45, 0x96, 0x36,
  3.1025 -  0x17, 0x26, 0xc6, 0x56, 0x36, 0x44, 0x40, 0x16, 0x32, 0x61, 0x69, 0x72,
  3.1026 -  0x2e, 0x70, 0x6f, 0x73, 0x69, 0x74, 0x69, 0x6f, 0x6e, 0x8c, 0xc2, 0xd2,
  3.1027 -  0xe4, 0x5c, 0xc2, 0xe4, 0xce, 0xbe, 0xe8, 0xf2, 0xe0, 0xca, 0xbe, 0xdc,
  3.1028 -  0xc2, 0xda, 0xca, 0x68, 0x98, 0xb1, 0xbd, 0x85, 0xd1, 0xd1, 0x90, 0x09,
  3.1029 -  0x4b, 0x93, 0x73, 0x09, 0x93, 0x3b, 0xfb, 0x72, 0x0b, 0x6b, 0x2b, 0x23,
  3.1030 -  0x02, 0xf7, 0x36, 0x97, 0x46, 0x97, 0xf6, 0xe6, 0x36, 0x44, 0x41, 0x1a,
  3.1031 -  0xc4, 0x41, 0x1e, 0x04, 0x42, 0x22, 0x46, 0x61, 0x69, 0x72, 0x2e, 0x76,
  3.1032 -  0x65, 0x72, 0x74, 0x65, 0x78, 0x5f, 0x6f, 0x75, 0x74, 0x70, 0x75, 0x74,
  3.1033 -  0xcc, 0xce, 0xca, 0xdc, 0xca, 0xe4, 0xc2, 0xe8, 0xca, 0xc8, 0x50, 0x70,
  3.1034 -  0xe8, 0xca, 0xf0, 0xc6, 0xde, 0xde, 0xe4, 0xc8, 0x88, 0xec, 0x64, 0xbe,
  3.1035 -  0xcc, 0x52, 0x68, 0x98, 0xb1, 0xbd, 0x85, 0xd1, 0xc9, 0x10, 0xa1, 0x2b,
  3.1036 -  0xc3, 0x1b, 0x7b, 0x7b, 0x93, 0x23, 0x1b, 0xc2, 0x20, 0x13, 0x42, 0x21,
  3.1037 -  0x0e, 0x52, 0x21, 0x10, 0x62, 0x0d, 0x21, 0x10, 0x09, 0xb9, 0xa8, 0x84,
  3.1038 -  0xa5, 0xc9, 0xb9, 0x88, 0xd5, 0x99, 0x99, 0x95, 0xc9, 0x51, 0x0a, 0x4b,
  3.1039 -  0x93, 0x73, 0x61, 0x7b, 0x1b, 0x0b, 0xa3, 0x4b, 0x7b, 0x73, 0xfb, 0x4a,
  3.1040 -  0x73, 0x23, 0x2b, 0xc3, 0x23, 0x12, 0x96, 0x26, 0xe7, 0x22, 0x57, 0x16,
  3.1041 -  0x46, 0xc6, 0x28, 0x2c, 0x4d, 0xce, 0x25, 0x4c, 0xee, 0xec, 0x8b, 0x2e,
  3.1042 -  0x0f, 0xae, 0xec, 0x6b, 0x2e, 0x4d, 0xaf, 0x8c, 0x57, 0x58, 0x9a, 0x9c,
  3.1043 -  0x4b, 0x98, 0xdc, 0xd9, 0x17, 0x5d, 0x1e, 0x5c, 0xd9, 0x57, 0x18, 0x5b,
  3.1044 -  0xda, 0x99, 0xdb, 0xd7, 0x5c, 0x9a, 0x5e, 0xd9, 0x10, 0xae, 0x18, 0x90,
  3.1045 -  0x0c, 0xd1, 0x8a, 0xa1, 0x08, 0x90, 0x0d, 0xe1, 0x0a, 0x01, 0xe9, 0x0a,
  3.1046 -  0x01, 0x71, 0x90, 0x0a, 0x81, 0x90, 0x88, 0x09, 0x5d, 0x19, 0xde, 0xd8,
  3.1047 -  0xdb, 0x9b, 0x1c, 0xd9, 0xdc, 0x10, 0xae, 0x08, 0x90, 0x0c, 0xd1, 0x8a,
  3.1048 -  0xa0, 0x08, 0x90, 0x0d, 0xe1, 0x0a, 0x01, 0xe9, 0x0a, 0x01, 0x71, 0x90,
  3.1049 -  0x0a, 0x81, 0x90, 0x8f, 0x4d, 0x58, 0x9a, 0x9c, 0x8b, 0x5d, 0x99, 0x1c,
  3.1050 -  0x5d, 0x19, 0xde, 0x57, 0x1a, 0x19, 0x89, 0xba, 0x34, 0x37, 0x3a, 0x0e,
  3.1051 -  0x76, 0x69, 0x64, 0x43, 0x98, 0x82, 0x40, 0xc2, 0x00, 0x71, 0x10, 0x31,
  3.1052 -  0x40, 0x20, 0x64, 0x0c, 0x86, 0x18, 0x88, 0x87, 0x80, 0x01, 0x42, 0x06,
  3.1053 -  0x43, 0x8c, 0x03, 0x40, 0x30, 0xa4, 0x0c, 0xf8, 0xbc, 0xb5, 0xb9, 0xa5,
  3.1054 -  0xc1, 0xbd, 0xd1, 0x95, 0xb9, 0xd1, 0x81, 0x8c, 0xa1, 0x85, 0xc9, 0xf1,
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  3.1600 +  0x6d, 0x61, 0x74, 0x68, 0x5f, 0x65, 0x6e, 0x61, 0x62, 0x6c, 0x65, 0x43,
  3.1601 +  0x84, 0xe7, 0x20, 0x19, 0x84, 0xa5, 0xc9, 0xb9, 0x8c, 0xbd, 0xb5, 0xc1,
  3.1602 +  0xa5, 0xb1, 0x95, 0xb9, 0x98, 0xc9, 0x85, 0xb5, 0x95, 0x89, 0xd5, 0x99,
  3.1603 +  0x99, 0x95, 0xc9, 0x7d, 0x99, 0x95, 0xd1, 0x8d, 0xa1, 0x7d, 0x95, 0xb9,
  3.1604 +  0x85, 0x89, 0xb1, 0x95, 0x0d, 0x11, 0x9e, 0x84, 0x61, 0x10, 0x96, 0x26,
  3.1605 +  0xe7, 0x32, 0xf6, 0xd6, 0x06, 0x97, 0xc6, 0x56, 0xe6, 0xe2, 0x16, 0x46,
  3.1606 +  0x97, 0x66, 0x57, 0xf6, 0x45, 0xf6, 0x56, 0x27, 0xc6, 0x56, 0xf6, 0x45,
  3.1607 +  0x96, 0x36, 0x17, 0x26, 0xc6, 0x56, 0x36, 0x44, 0x78, 0x16, 0x46, 0x61,
  3.1608 +  0x69, 0x72, 0x2e, 0x72, 0x65, 0x6e, 0x64, 0x65, 0x72, 0x5f, 0x74, 0x61,
  3.1609 +  0x72, 0x67, 0x65, 0x74, 0x8c, 0xc2, 0xd2, 0xe4, 0x5c, 0xc2, 0xe4, 0xce,
  3.1610 +  0xbe, 0xe8, 0xf2, 0xe0, 0xca, 0xbe, 0xdc, 0xc2, 0xda, 0xca, 0x68, 0x98,
  3.1611 +  0xb1, 0xbd, 0x85, 0xd1, 0xd1, 0x0c, 0x41, 0x9e, 0x66, 0x19, 0x1e, 0xe7,
  3.1612 +  0x79, 0x86, 0x08, 0x0f, 0x44, 0x26, 0x2c, 0x4d, 0xce, 0x05, 0xee, 0x6d,
  3.1613 +  0x2e, 0x8d, 0x2e, 0xed, 0xcd, 0x8d, 0x4a, 0x58, 0x9a, 0x9c, 0xcb, 0x58,
  3.1614 +  0x99, 0x1b, 0x5d, 0x99, 0x1c, 0xa5, 0xb0, 0x34, 0x39, 0x17, 0xb7, 0xb7,
  3.1615 +  0x2f, 0xb8, 0x32, 0xb9, 0x39, 0xb8, 0xb2, 0x31, 0xba, 0x34, 0xbb, 0x32,
  3.1616 +  0x32, 0x61, 0x69, 0x72, 0x2e, 0x61, 0x72, 0x67, 0x5f, 0x6e, 0x61, 0x6d,
  3.1617 +  0x65, 0x44, 0xe0, 0xde, 0xe6, 0xd2, 0xe8, 0xd2, 0xde, 0xdc, 0x86, 0x40,
  3.1618 +  0xcb, 0xf0, 0x48, 0xcf, 0xf4, 0x50, 0x8f, 0xf3, 0x3c, 0x4f, 0xf5, 0x58,
  3.1619 +  0x94, 0xc2, 0xd2, 0xe4, 0x5c, 0xcc, 0xe4, 0xc2, 0xce, 0xda, 0xca, 0xdc,
  3.1620 +  0xe8, 0xbe, 0xd2, 0xdc, 0xe0, 0xea, 0xe8, 0x98, 0x9d, 0x95, 0xb9, 0x95,
  3.1621 +  0xc9, 0x85, 0xd1, 0x95, 0x91, 0xa1, 0xe0, 0xd0, 0x95, 0xe1, 0x8d, 0xbd,
  3.1622 +  0xbd, 0xc9, 0x91, 0x11, 0xd9, 0xc9, 0x7c, 0x99, 0xa5, 0xf0, 0x09, 0x4b,
  3.1623 +  0x93, 0x73, 0x81, 0x2b, 0x93, 0x9b, 0x83, 0x2b, 0x1b, 0xa3, 0x4b, 0xb3,
  3.1624 +  0x2b, 0xa3, 0x61, 0xc6, 0xf6, 0x16, 0x46, 0x27, 0x43, 0x84, 0xae, 0x0c,
  3.1625 +  0x6f, 0xec, 0xed, 0x4d, 0x8e, 0x6c, 0x88, 0xb4, 0x08, 0x0f, 0xf6, 0x64,
  3.1626 +  0xcf, 0xf4, 0x68, 0x8f, 0xf3, 0x6c, 0x4f, 0xf5, 0x70, 0x54, 0xc2, 0xd2,
  3.1627 +  0xe4, 0x5c, 0xc4, 0xea, 0xcc, 0xcc, 0xca, 0xe4, 0xf8, 0x84, 0xa5, 0xc9,
  3.1628 +  0xb9, 0x88, 0xd5, 0x99, 0x99, 0x95, 0xc9, 0x7d, 0xcd, 0xa5, 0xe9, 0x95,
  3.1629 +  0x51, 0x0a, 0x4b, 0x93, 0x73, 0x61, 0x7b, 0x1b, 0x0b, 0xa3, 0x4b, 0x7b,
  3.1630 +  0x73, 0xfb, 0x4a, 0x73, 0x23, 0x2b, 0xc3, 0x23, 0x12, 0x96, 0x26, 0xe7,
  3.1631 +  0x22, 0x57, 0x16, 0x46, 0xc6, 0x28, 0x2c, 0x4d, 0xce, 0x25, 0x4c, 0xee,
  3.1632 +  0xec, 0x8b, 0x2e, 0x0f, 0xae, 0xec, 0x6b, 0x2e, 0x4d, 0xaf, 0x8c, 0x57,
  3.1633 +  0x58, 0x9a, 0x9c, 0x4b, 0x98, 0xdc, 0xd9, 0x17, 0x5d, 0x1e, 0x5c, 0xd9,
  3.1634 +  0x57, 0x18, 0x5b, 0xda, 0x99, 0xdb, 0xd7, 0x5c, 0x9a, 0x5e, 0x19, 0x87,
  3.1635 +  0xb1, 0x37, 0xb6, 0x21, 0x60, 0xb0, 0x18, 0x8f, 0xf7, 0x7c, 0x0b, 0xf1,
  3.1636 +  0x80, 0xc1, 0x32, 0x2c, 0xc2, 0x13, 0x06, 0x8f, 0x18, 0x2c, 0xc4, 0x33,
  3.1637 +  0x06, 0x0b, 0xf1, 0x38, 0xcf, 0xf3, 0x54, 0x0f, 0x19, 0x70, 0x09, 0x4b,
  3.1638 +  0x93, 0x73, 0xa1, 0x2b, 0xc3, 0xa3, 0xab, 0x93, 0x2b, 0xa3, 0x12, 0x96,
  3.1639 +  0x26, 0xe7, 0x32, 0x17, 0xd6, 0x06, 0xc7, 0x56, 0x46, 0x8c, 0xae, 0x0c,
  3.1640 +  0x8f, 0xae, 0x4e, 0xae, 0x4c, 0x86, 0x8c, 0xc7, 0x8c, 0xed, 0x2d, 0x8c,
  3.1641 +  0x8e, 0x05, 0x64, 0x2e, 0xac, 0x0d, 0x8e, 0xad, 0xcc, 0x87, 0x03, 0x5d,
  3.1642 +  0x19, 0xde, 0x10, 0x6a, 0x39, 0x1e, 0x33, 0x78, 0xc0, 0x60, 0x19, 0x16,
  3.1643 +  0xe1, 0x39, 0x83, 0xc7, 0x79, 0xd0, 0xe0, 0xa9, 0x9e, 0x34, 0x18, 0x82,
  3.1644 +  0x3c, 0xd7, 0xd3, 0x3d, 0x65, 0xf0, 0xa8, 0xc1, 0x10, 0xe3, 0x00, 0x9e,
  3.1645 +  0xe8, 0x59, 0x03, 0x3e, 0x6f, 0x6d, 0x6e, 0x69, 0x70, 0x6f, 0x74, 0x65,
  3.1646 +  0x6e, 0x74, 0x20, 0x63, 0x68, 0x61, 0x72, 0x7c, 0xa6, 0xd2, 0xda, 0xe0,
  3.1647 +  0xd8, 0xca, 0x40, 0x86, 0x56, 0x56, 0x40, 0xa8, 0x84, 0x82, 0x82, 0x86,
  3.1648 +  0x08, 0x8f, 0x1b, 0x0c, 0x31, 0x9e, 0x36, 0x78, 0xde, 0x00, 0x42, 0x86,
  3.1649 +  0x18, 0x0f, 0x1c, 0x3c, 0x70, 0x00, 0x21, 0x23, 0x14, 0x76, 0x60, 0x07,
  3.1650 +  0x7b, 0x68, 0x07, 0x37, 0x48, 0x07, 0x72, 0x28, 0x07, 0x77, 0xa0, 0x87,
  3.1651 +  0x29, 0x41, 0x30, 0x62, 0x09, 0x87, 0x74, 0x90, 0x07, 0x37, 0xb0, 0x87,
  3.1652 +  0x72, 0x90, 0x87, 0x79, 0x48, 0x87, 0x77, 0x70, 0x87, 0x29, 0x81, 0x30,
  3.1653 +  0x82, 0x0a, 0x87, 0x74, 0x90, 0x07, 0x37, 0x60, 0x87, 0x70, 0x70, 0x87,
  3.1654 +  0x73, 0xa8, 0x87, 0x70, 0x38, 0x87, 0x72, 0xf8, 0x05, 0x7b, 0x28, 0x07,
  3.1655 +  0x79, 0x98, 0x87, 0x74, 0x78, 0x07, 0x77, 0x98, 0x12, 0x10, 0x23, 0xa6,
  3.1656 +  0x70, 0x48, 0x07, 0x79, 0x70, 0x83, 0x71, 0x78, 0x87, 0x76, 0x80, 0x87,
  3.1657 +  0x74, 0x60, 0x87, 0x72, 0xf8, 0x85, 0x77, 0x80, 0x07, 0x7a, 0x48, 0x87,
  3.1658 +  0x77, 0x70, 0x87, 0x79, 0x98, 0x42, 0x18, 0x88, 0xc2, 0x8c, 0x60, 0xc2,
  3.1659 +  0x21, 0x1d, 0xe4, 0xc1, 0x0d, 0xcc, 0x41, 0x1e, 0xc2, 0xe1, 0x1c, 0xda,
  3.1660 +  0xa1, 0x1c, 0xdc, 0x81, 0x1e, 0xa6, 0x04, 0x6c, 0x00, 0x00, 0x79, 0x18,
  3.1661 +  0x00, 0x00, 0x5c, 0x00, 0x00, 0x00, 0x33, 0x08, 0x80, 0x1c, 0xc4, 0xe1,
  3.1662 +  0x1c, 0x66, 0x14, 0x01, 0x3d, 0x88, 0x43, 0x38, 0x84, 0xc3, 0x8c, 0x42,
  3.1663 +  0x80, 0x07, 0x79, 0x78, 0x07, 0x73, 0x98, 0x71, 0x0c, 0xe6, 0x00, 0x0f,
  3.1664 +  0xed, 0x10, 0x0e, 0xf4, 0x80, 0x0e, 0x33, 0x0c, 0x42, 0x1e, 0xc2, 0xc1,
  3.1665 +  0x1d, 0xce, 0xa1, 0x1c, 0x66, 0x30, 0x05, 0x3d, 0x88, 0x43, 0x38, 0x84,
  3.1666 +  0x83, 0x1b, 0xcc, 0x03, 0x3d, 0xc8, 0x43, 0x3d, 0x8c, 0x03, 0x3d, 0xcc,
  3.1667 +  0x78, 0x8c, 0x74, 0x70, 0x07, 0x7b, 0x08, 0x07, 0x79, 0x48, 0x87, 0x70,
  3.1668 +  0x70, 0x07, 0x7a, 0x70, 0x03, 0x76, 0x78, 0x87, 0x70, 0x20, 0x87, 0x19,
  3.1669 +  0xcc, 0x11, 0x0e, 0xec, 0x90, 0x0e, 0xe1, 0x30, 0x0f, 0x6e, 0x30, 0x0f,
  3.1670 +  0xe3, 0xf0, 0x0e, 0xf0, 0x50, 0x0e, 0x33, 0x10, 0xc4, 0x1d, 0xde, 0x21,
  3.1671 +  0x1c, 0xd8, 0x21, 0x1d, 0xc2, 0x61, 0x1e, 0x66, 0x30, 0x89, 0x3b, 0xbc,
  3.1672 +  0x83, 0x3b, 0xd0, 0x43, 0x39, 0xb4, 0x03, 0x3c, 0xbc, 0x83, 0x3c, 0x84,
  3.1673 +  0x03, 0x3b, 0xcc, 0xf0, 0x14, 0x76, 0x60, 0x07, 0x7b, 0x68, 0x07, 0x37,
  3.1674 +  0x68, 0x87, 0x72, 0x68, 0x07, 0x37, 0x80, 0x87, 0x70, 0x90, 0x87, 0x70,
  3.1675 +  0x60, 0x07, 0x76, 0x28, 0x07, 0x76, 0xf8, 0x05, 0x76, 0x78, 0x87, 0x77,
  3.1676 +  0x80, 0x87, 0x5f, 0x08, 0x87, 0x71, 0x18, 0x87, 0x72, 0x98, 0x87, 0x79,
  3.1677 +  0x98, 0x81, 0x2c, 0xee, 0xf0, 0x0e, 0xee, 0xe0, 0x0e, 0xf5, 0xc0, 0x0e,
  3.1678 +  0xec, 0x30, 0x03, 0x62, 0xc8, 0xa1, 0x1c, 0xe4, 0xa1, 0x1c, 0xcc, 0xa1,
  3.1679 +  0x1c, 0xe4, 0xa1, 0x1c, 0xdc, 0x61, 0x1c, 0xca, 0x21, 0x1c, 0xc4, 0x81,
  3.1680 +  0x1d, 0xca, 0x61, 0x06, 0xd6, 0x90, 0x43, 0x39, 0xc8, 0x43, 0x39, 0x98,
  3.1681 +  0x43, 0x39, 0xc8, 0x43, 0x39, 0xb8, 0xc3, 0x38, 0x94, 0x43, 0x38, 0x88,
  3.1682 +  0x03, 0x3b, 0x94, 0xc3, 0x2f, 0xbc, 0x83, 0x3c, 0xfc, 0x82, 0x3b, 0xd4,
  3.1683 +  0x03, 0x3b, 0xb0, 0xc3, 0x0c, 0xc7, 0x69, 0x87, 0x70, 0x58, 0x87, 0x72,
  3.1684 +  0x70, 0x83, 0x74, 0x68, 0x07, 0x78, 0x60, 0x87, 0x74, 0x18, 0x87, 0x74,
  3.1685 +  0xa0, 0x87, 0x19, 0xce, 0x53, 0x0f, 0xee, 0x00, 0x0f, 0xf2, 0x50, 0x0e,
  3.1686 +  0xe4, 0x90, 0x0e, 0xe3, 0x40, 0x0f, 0xe1, 0x20, 0x0e, 0xec, 0x50, 0x0e,
  3.1687 +  0x33, 0x20, 0x28, 0x1d, 0xdc, 0xc1, 0x1e, 0xc2, 0x41, 0x1e, 0xd2, 0x21,
  3.1688 +  0x1c, 0xdc, 0x81, 0x1e, 0xdc, 0xe0, 0x1c, 0xe4, 0xe1, 0x1d, 0xea, 0x01,
  3.1689 +  0x1e, 0x66, 0x18, 0x51, 0x38, 0xb0, 0x43, 0x3a, 0x9c, 0x83, 0x3b, 0xcc,
  3.1690 +  0x50, 0x24, 0x76, 0x60, 0x07, 0x7b, 0x68, 0x07, 0x37, 0x60, 0x87, 0x77,
  3.1691 +  0x78, 0x07, 0x78, 0x98, 0x51, 0x4c, 0xf4, 0x90, 0x0f, 0xf0, 0x50, 0x0e,
  3.1692 +  0x00, 0x00, 0x71, 0x20, 0x00, 0x00, 0x0a, 0x00, 0x00, 0x00, 0x06, 0x10,
  3.1693 +  0xb1, 0x5d, 0xf9, 0x73, 0xce, 0x83, 0xfd, 0x45, 0x04, 0x18, 0x0c, 0xd1,
  3.1694 +  0x4c, 0x16, 0xb0, 0x01, 0x48, 0xe4, 0x4b, 0x00, 0xf3, 0x2c, 0xc4, 0x3f,
  3.1695 +  0x11, 0xd7, 0x44, 0x45, 0xc4, 0x6f, 0x0f, 0x7e, 0x85, 0x17, 0xb7, 0x0d,
  3.1696 +  0x00, 0x00, 0x61, 0x20, 0x00, 0x00, 0x13, 0x00, 0x00, 0x00, 0x13, 0x04,
  3.1697 +  0x41, 0x2c, 0x10, 0x00, 0x00, 0x00, 0x07, 0x00, 0x00, 0x00, 0x04, 0xeb,
  3.1698 +  0xdd, 0xff, 0xf7, 0xff, 0xff, 0xff, 0xff, 0xff, 0x3f, 0x80, 0xd8, 0x08,
  3.1699 +  0x00, 0xa9, 0x1a, 0x18, 0x01, 0xa0, 0x64, 0x0a, 0x1b, 0x08, 0x8c, 0x00,
  3.1700 +  0x00, 0x00, 0x23, 0x06, 0x8a, 0x10, 0x48, 0x87, 0x90, 0x10, 0xc5, 0x10,
  3.1701 +  0x50, 0x52, 0x2c, 0x10, 0xe4, 0x93, 0x41, 0x40, 0x0c, 0x00, 0x02, 0x00,
  3.1702 +  0x00, 0x00, 0x5b, 0x86, 0x20, 0x88, 0x03, 0x00, 0x00, 0x00, 0x00, 0x00,
  3.1703 +  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
  3.1704  };
  3.1705 -const unsigned int sdl_metallib_len = 10176;
  3.1706 +const unsigned int sdl_metallib_len = 10270;
     4.1 --- a/src/render/metal/SDL_shaders_metal_osx.h	Sat Dec 09 03:28:23 2017 -0500
     4.2 +++ b/src/render/metal/SDL_shaders_metal_osx.h	Sat Dec 09 12:58:41 2017 -0800
     4.3 @@ -1,855 +1,862 @@
     4.4  const unsigned char sdl_metallib[] = {
     4.5    0x4d, 0x54, 0x4c, 0x42, 0x01, 0x80, 0x02, 0x00, 0x02, 0x00, 0x00, 0x00,
     4.6 -  0x00, 0x00, 0x00, 0x00, 0xf0, 0x27, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
     4.7 -  0x58, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xe4, 0x01, 0x00, 0x00,
     4.8 -  0x00, 0x00, 0x00, 0x00, 0x40, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
     4.9 -  0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x60, 0x02, 0x00, 0x00,
    4.10 +  0x00, 0x00, 0x00, 0x00, 0x3e, 0x28, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
    4.11 +  0x58, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xe2, 0x01, 0x00, 0x00,
    4.12 +  0x00, 0x00, 0x00, 0x00, 0x3e, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
    4.13 +  0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x5e, 0x02, 0x00, 0x00,
    4.14    0x00, 0x00, 0x00, 0x00, 0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
    4.15 -  0x80, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x70, 0x25, 0x00, 0x00,
    4.16 -  0x00, 0x00, 0x00, 0x00, 0x04, 0x00, 0x00, 0x00, 0x79, 0x00, 0x00, 0x00,
    4.17 -  0x4e, 0x41, 0x4d, 0x45, 0x12, 0x00, 0x53, 0x44, 0x4c, 0x5f, 0x53, 0x69,
    4.18 -  0x6d, 0x70, 0x6c, 0x65, 0x5f, 0x76, 0x65, 0x72, 0x74, 0x65, 0x78, 0x00,
    4.19 -  0x54, 0x59, 0x50, 0x45, 0x01, 0x00, 0x00, 0x48, 0x41, 0x53, 0x48, 0x20,
    4.20 -  0x00, 0x39, 0xc0, 0x3e, 0x55, 0x54, 0x56, 0x76, 0x97, 0xe6, 0x47, 0xbe,
    4.21 -  0xdc, 0xc9, 0x49, 0xab, 0x5c, 0x7d, 0x01, 0xca, 0x36, 0x8e, 0x61, 0x5c,
    4.22 -  0x3f, 0xee, 0x77, 0xc2, 0x3c, 0xd7, 0x75, 0x6f, 0xf7, 0x4f, 0x46, 0x46,
    4.23 -  0x54, 0x18, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
    4.24 +  0x7e, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xc0, 0x25, 0x00, 0x00,
    4.25 +  0x00, 0x00, 0x00, 0x00, 0x04, 0x00, 0x00, 0x00, 0x78, 0x00, 0x00, 0x00,
    4.26 +  0x4e, 0x41, 0x4d, 0x45, 0x11, 0x00, 0x53, 0x44, 0x4c, 0x5f, 0x53, 0x6f,
    4.27 +  0x6c, 0x69, 0x64, 0x5f, 0x76, 0x65, 0x72, 0x74, 0x65, 0x78, 0x00, 0x54,
    4.28 +  0x59, 0x50, 0x45, 0x01, 0x00, 0x00, 0x48, 0x41, 0x53, 0x48, 0x20, 0x00,
    4.29 +  0xb9, 0x12, 0xf0, 0xe7, 0x3c, 0xef, 0x65, 0x9b, 0x62, 0xdf, 0xcd, 0x59,
    4.30 +  0xf9, 0x62, 0xd6, 0xd0, 0xe1, 0x0c, 0x9a, 0x40, 0x82, 0x0d, 0xb7, 0xbf,
    4.31 +  0x5c, 0x21, 0xe7, 0x8b, 0x30, 0xc6, 0x4d, 0xf2, 0x4f, 0x46, 0x46, 0x54,
    4.32 +  0x18, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
    4.33    0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
    4.34 +  0x00, 0x00, 0x56, 0x45, 0x52, 0x53, 0x08, 0x00, 0x01, 0x00, 0x08, 0x00,
    4.35 +  0x01, 0x00, 0x01, 0x00, 0x45, 0x4e, 0x44, 0x54, 0x77, 0x00, 0x00, 0x00,
    4.36 +  0x4e, 0x41, 0x4d, 0x45, 0x10, 0x00, 0x53, 0x44, 0x4c, 0x5f, 0x43, 0x6f,
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  4.1009 -  0x4a, 0x73, 0x23, 0x2b, 0xc3, 0x23, 0x12, 0x96, 0x26, 0xe7, 0x22, 0x57,
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  4.1020 -  0x0e, 0x76, 0x69, 0x64, 0x43, 0x98, 0x82, 0x40, 0xc2, 0x00, 0x71, 0x10,
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  4.1681 -  0xee, 0xe0, 0x0e, 0xf5, 0xc0, 0x0e, 0xec, 0x30, 0x03, 0x62, 0xc8, 0xa1,
  4.1682 -  0x1c, 0xe4, 0xa1, 0x1c, 0xcc, 0xa1, 0x1c, 0xe4, 0xa1, 0x1c, 0xdc, 0x61,
  4.1683 -  0x1c, 0xca, 0x21, 0x1c, 0xc4, 0x81, 0x1d, 0xca, 0x61, 0x06, 0xd6, 0x90,
  4.1684 -  0x43, 0x39, 0xc8, 0x43, 0x39, 0x98, 0x43, 0x39, 0xc8, 0x43, 0x39, 0xb8,
  4.1685 -  0xc3, 0x38, 0x94, 0x43, 0x38, 0x88, 0x03, 0x3b, 0x94, 0xc3, 0x2f, 0xbc,
  4.1686 -  0x83, 0x3c, 0xfc, 0x82, 0x3b, 0xd4, 0x03, 0x3b, 0xb0, 0xc3, 0x0c, 0xc7,
  4.1687 -  0x69, 0x87, 0x70, 0x58, 0x87, 0x72, 0x70, 0x83, 0x74, 0x68, 0x07, 0x78,
  4.1688 -  0x60, 0x87, 0x74, 0x18, 0x87, 0x74, 0xa0, 0x87, 0x19, 0xce, 0x53, 0x0f,
  4.1689 -  0xee, 0x00, 0x0f, 0xf2, 0x50, 0x0e, 0xe4, 0x90, 0x0e, 0xe3, 0x40, 0x0f,
  4.1690 -  0xe1, 0x20, 0x0e, 0xec, 0x50, 0x0e, 0x33, 0x20, 0x28, 0x1d, 0xdc, 0xc1,
  4.1691 -  0x1e, 0xc2, 0x41, 0x1e, 0xd2, 0x21, 0x1c, 0xdc, 0x81, 0x1e, 0xdc, 0xe0,
  4.1692 -  0x1c, 0xe4, 0xe1, 0x1d, 0xea, 0x01, 0x1e, 0x66, 0x18, 0x51, 0x38, 0xb0,
  4.1693 -  0x43, 0x3a, 0x9c, 0x83, 0x3b, 0xcc, 0x50, 0x24, 0x76, 0x60, 0x07, 0x7b,
  4.1694 -  0x68, 0x07, 0x37, 0x60, 0x87, 0x77, 0x78, 0x07, 0x78, 0x98, 0x51, 0x4c,
  4.1695 -  0xf4, 0x90, 0x0f, 0xf0, 0x50, 0x0e, 0x00, 0x00, 0x71, 0x20, 0x00, 0x00,
  4.1696 -  0x0a, 0x00, 0x00, 0x00, 0x06, 0x10, 0xb1, 0x5d, 0xf9, 0x73, 0xce, 0x83,
  4.1697 -  0xfd, 0x45, 0x04, 0x18, 0x0c, 0xd1, 0x4c, 0x16, 0xb0, 0x01, 0x48, 0xe4,
  4.1698 -  0x4b, 0x00, 0xf3, 0x2c, 0xc4, 0x3f, 0x11, 0xd7, 0x44, 0x45, 0xc4, 0x6f,
  4.1699 -  0x0f, 0x7e, 0x85, 0x17, 0xb7, 0x0d, 0x00, 0x00, 0x61, 0x20, 0x00, 0x00,
  4.1700 -  0x13, 0x00, 0x00, 0x00, 0x13, 0x04, 0x41, 0x2c, 0x10, 0x00, 0x00, 0x00,
  4.1701 -  0x07, 0x00, 0x00, 0x00, 0x04, 0xeb, 0xdd, 0xff, 0xf7, 0xff, 0xff, 0xff,
  4.1702 -  0xff, 0xff, 0x3f, 0x80, 0xd8, 0x08, 0x00, 0xa9, 0x1a, 0x18, 0x01, 0xa0,
  4.1703 -  0x64, 0x0a, 0x1b, 0x08, 0x8c, 0x00, 0x00, 0x00, 0x23, 0x06, 0x8a, 0x10,
  4.1704 -  0x48, 0x87, 0x90, 0x10, 0xc5, 0x10, 0x50, 0x52, 0x2c, 0x10, 0xe4, 0x93,
  4.1705 -  0x41, 0x40, 0x0c, 0x00, 0x02, 0x00, 0x00, 0x00, 0x5b, 0x86, 0x20, 0x88,
  4.1706 -  0x03, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
  4.1707 -  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
  4.1708 +  0x00, 0x00, 0x00, 0x00, 0x00, 0x00
  4.1709  };
  4.1710 -const unsigned int sdl_metallib_len = 10224;
  4.1711 +const unsigned int sdl_metallib_len = 10302;