[Unreal Engine 4] 4.7 Shader Files Changelist

Below you can find a list of all .usf shader files that have been changed for Unreal Engine 4.7.

Most of these changes are based on the following engine additions/modifications:

• TwoSidedFoliage lighting model
• SV_Position is now available in the pixel shader (in previous engine versions
  the screen position was derived from world position to save an interpolator)
• Dithered LOD transitions for instanced meshes 
• Distance Field Shadowing improvements
• Metal API related improvements

BasePassForForwardShadingPixelShader
BasePassPixelShader
Common
Definitions
DepthOnlyPixelShader
DistanceFieldLightingShared
DistanceFieldShadowing
DistanceFieldSurfaceCacheLighting
DistanceFieldSurfaceCacheLightingCompute
DistortAccumulatePS
HitProxyPixelShader
LightmapCommon
LightMapDensityShader
LocalVertexFactory
LocalVertexFactoryCommon
MaterialTemplate
MonteCarlo
ParticleGPUSpriteVertexFactory
ParticleSpriteVertexFactory
PostProcessMaterialShaders
PostProcessMotionBlur
PostProcessSubsurface
PostProcessUpscale
ReflectionEnvironmentComputeShaders
ReflectionEnvironmentShaders
SeparableSSS
ShaderVersion
ShadowDepthCommon
ShadowDepthPixelShader
ShadowProjectionCommon
ShadowProjectionPixelShader
SimpleElementPixelShader
SkyLighting
SkyLightingShared
TiledDeferredLightShaders
TranslucentShadowDepthShaders
VelocityShader
VertexFactoryCommon
VisualizeTexture

[UE4 Material] Graphing Functions

Being interested in math and shaders I recently got into shadertoy and made a shader to draw some interesting looking implicit functions. This was fun but it was also just a matter of time until I'd do something similar using Unreal Engine.
So here we go, a tutorial about graphing a mathematical function with the UE3/4 material editor alone. There are no textures involved, everything is just done in the pixel shader.


In order to actually draw the graphs I'm using a method suggested by Iñigo Quílez:
http://www.iquilezles.org/www/articles/distance/distance.htm

The shader code described isn't very complex but requires the derivatives to be computed.
So in total there are 4 things required for graphing a function in the material editor:

1. A function.
   Any kind of function will work but the elements need to be reordered so one
   side of the equation is zero. E.g.  y=x²  will become  0=x²-y.
2. Derivatives of the function.
   It's recommended to to manually do the differentiation. However if the math
   is out of reach you can use finite differences instead.
3. A coordinate system.
   Usually this will be the UVs, screen coordinates or the worldposition.
4. A grid.
   This is optionally but helps to read the graph. I'd suggest to draw the x/y-axis at the very least.

Material Setup

I'm starting off with a rather simple function:
0 = x³-y²

The derivatives of this function are as follows:
d/dx = 3*x²
d/dy = -2*y

The coordinate system is based on the UVs. Since these range from 0-1 for the preview meshes a negative offset of -0.5 is added to the texture coordinates.

If you prefer an automated process over manual differentiation you can use forward differencing to calculate the derivatives. This will calculate the function 2 additional times with a slight offset on the x- and y-axis.
Keep in mind that this might increase the instruction count a lot, depending on the functions complexity.

With the function and its derivatives available we can now draw the graph:

Visalizing the x/y-axis is pretty similar to drawing the graph but much easier at the same time since it's directly based on the absolutes of the coordinates.

For a real grid with multiple sub-lines use this setup instead:

Putting it all together

To replicate this network of nodes just copy and paste the code below to your own material:

Begin Object Class=MaterialGraphNode_Comment Name="MaterialGraphNode_Comment_18"
   Begin Object Class=MaterialExpressionComment Name="MaterialExpressionComment_0"
   End Object
   Begin Object Name="MaterialExpressionComment_0"
      SizeX=1136
      SizeY=432
      Text="Draw Grid"
      MaterialExpressionEditorX=1648
      MaterialExpressionEditorY=-3088
      MaterialExpressionGuid=28366D4648509726F5EC76959F7B50DC
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpressionComment=MaterialExpressionComment'MaterialExpressionComment_0'
   NodePosX=1648
   NodePosY=-3088
   NodeWidth=1136
   NodeHeight=432
   NodeComment="Draw Grid"
   NodeGuid=4E8F8190439ED514BCF0F8BC84CB8A2A
End Object
Begin Object Class=MaterialGraphNode_Comment Name="MaterialGraphNode_Comment_15"
   Begin Object Class=MaterialExpressionComment Name="MaterialExpressionComment_1"
   End Object
   Begin Object Name="MaterialExpressionComment_1"
      SizeX=880
      SizeY=448
      Text="Draw Graph"
      MaterialExpressionEditorX=1936
      MaterialExpressionEditorY=-2640
      MaterialExpressionGuid=28366D4648509726F5EC76959F7B50DC
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpressionComment=MaterialExpressionComment'MaterialExpressionComment_1'
   NodePosX=1936
   NodePosY=-2640
   NodeWidth=880
   NodeHeight=448
   NodeComment="Draw Graph"
   NodeGuid=C58F85374D951E9D5D1C24B70B2F0FAF
End Object
Begin Object Class=MaterialGraphNode_Comment Name="MaterialGraphNode_Comment_14"
   Begin Object Class=MaterialExpressionComment Name="MaterialExpressionComment_2"
   End Object
   Begin Object Name="MaterialExpressionComment_2"
      SizeX=304
      SizeY=256
      Text="Derivatives"
      MaterialExpressionEditorX=1616
      MaterialExpressionEditorY=-2400
      MaterialExpressionGuid=34357E4D47B94A25FCB75C98A5F1DFF2
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpressionComment=MaterialExpressionComment'MaterialExpressionComment_2'
   NodePosX=1616
   NodePosY=-2400
   NodeWidth=304
   NodeHeight=256
   NodeComment="Derivatives"
   NodeGuid=66BEF39E491499A073B65CACDBA5FDE7
End Object
Begin Object Class=MaterialGraphNode_Comment Name="MaterialGraphNode_Comment_13"
   Begin Object Class=MaterialExpressionComment Name="MaterialExpressionComment_3"
   End Object
   Begin Object Name="MaterialExpressionComment_3"
      SizeX=304
      SizeY=240
      Text="Function"
      MaterialExpressionEditorX=1616
      MaterialExpressionEditorY=-2640
      MaterialExpressionGuid=34357E4D47B94A25FCB75C98A5F1DFF2
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpressionComment=MaterialExpressionComment'MaterialExpressionComment_3'
   NodePosX=1616
   NodePosY=-2640
   NodeWidth=304
   NodeHeight=240
   NodeComment="Function"
   NodeGuid=D39FF62B498950ED364CD4BBA65572F3
End Object
Begin Object Class=MaterialGraphNode_Comment Name="MaterialGraphNode_Comment_11"
   Begin Object Class=MaterialExpressionComment Name="MaterialExpressionComment_4"
   End Object
   Begin Object Name="MaterialExpressionComment_4"
      SizeX=496
      SizeY=288
      Text="Coordinates"
      MaterialExpressionEditorX=1072
      MaterialExpressionEditorY=-2576
      MaterialExpressionGuid=34357E4D47B94A25FCB75C98A5F1DFF2
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpressionComment=MaterialExpressionComment'MaterialExpressionComment_4'
   NodePosX=1072
   NodePosY=-2576
   NodeWidth=496
   NodeHeight=288
   NodeComment="Coordinates"
   NodeGuid=E12080E642AEC569DA0E5881928508DF
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_125"
   Begin Object Class=EdGraphPin Name="EdGraphPin_2882"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2881"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2880"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2879"
   End Object
   Begin Object Class=MaterialExpressionLinearInterpolate Name="MaterialExpressionLinearInterpolate_0"
   End Object
   Begin Object Name="EdGraphPin_2882"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_Root_1.EdGraphPin_2858"'
   End Object
   Begin Object Name="EdGraphPin_2881"
      PinName="Alpha"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_155.EdGraphPin_2968"'
   End Object
   Begin Object Name="EdGraphPin_2880"
      PinName="B"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_177.EdGraphPin_3025"'
   End Object
   Begin Object Name="EdGraphPin_2879"
      PinName="A"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_152.EdGraphPin_2952"'
   End Object
   Begin Object Name="MaterialExpressionLinearInterpolate_0"
      A=(Expression=MaterialExpressionVectorParameter'"MaterialGraphNode_152.MaterialExpressionVectorParameter_0"',Mask=1,MaskR=1,MaskG=1,MaskB=1)
      B=(Expression=MaterialExpressionLinearInterpolate'"MaterialGraphNode_177.MaterialExpressionLinearInterpolate_1"')
      Alpha=(Expression=MaterialExpressionClamp'"MaterialGraphNode_155.MaterialExpressionClamp_0"')
      MaterialExpressionEditorX=2704
      MaterialExpressionEditorY=-2576
      MaterialExpressionGuid=0FE461CD4018E0D2A455E782335447A1
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpression=MaterialExpressionLinearInterpolate'MaterialExpressionLinearInterpolate_0'
   Pins(0)=EdGraphPin'EdGraphPin_2879'
   Pins(1)=EdGraphPin'EdGraphPin_2880'
   Pins(2)=EdGraphPin'EdGraphPin_2881'
   Pins(3)=EdGraphPin'EdGraphPin_2882'
   NodePosX=2704
   NodePosY=-2576
   NodeGuid=7E784A6A4B53ABEF455F33A94EB43483
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_126"
   Begin Object Class=EdGraphPin Name="EdGraphPin_2883"
   End Object
   Begin Object Class=MaterialExpressionTextureCoordinate Name="MaterialExpressionTextureCoordinate_0"
   End Object
   Begin Object Name="EdGraphPin_2883"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_129.EdGraphPin_2888"'
   End Object
   Begin Object Name="MaterialExpressionTextureCoordinate_0"
      MaterialExpressionEditorX=1088
      MaterialExpressionEditorY=-2496
      MaterialExpressionGuid=D48CBCE240ED14E64FE19AB97E278261
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpression=MaterialExpressionTextureCoordinate'MaterialExpressionTextureCoordinate_0'
   Pins(0)=EdGraphPin'EdGraphPin_2883'
   NodePosX=1088
   NodePosY=-2496
   NodeGuid=3166F4494DB621C757E896970AFC2C10
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_127"
   Begin Object Class=EdGraphPin Name="EdGraphPin_2885"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2884"
   End Object
   Begin Object Class=MaterialExpressionComponentMask Name="MaterialExpressionComponentMask_0"
   End Object
   Begin Object Name="EdGraphPin_2885"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_228.EdGraphPin_3163"'
      LinkedTo(1)=EdGraphPin'"MaterialGraphNode_231.EdGraphPin_3172"'
      LinkedTo(2)=EdGraphPin'"MaterialGraphNode_231.EdGraphPin_3173"'
   End Object
   Begin Object Name="EdGraphPin_2884"
      PinName="Input"
      PinFriendlyName=" "
      PinType=(PinCategory="required")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_130.EdGraphPin_2893"'
   End Object
   Begin Object Name="MaterialExpressionComponentMask_0"
      Input=(Expression=MaterialExpressionMultiply'"MaterialGraphNode_130.MaterialExpressionMultiply_67"')
      R=True
      MaterialExpressionEditorX=1424
      MaterialExpressionEditorY=-2528
      MaterialExpressionGuid=931691B4440D3A8CD3120A8BC0D1747C
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
      Desc="x"
   End Object
   MaterialExpression=MaterialExpressionComponentMask'MaterialExpressionComponentMask_0'
   Pins(0)=EdGraphPin'EdGraphPin_2884'
   Pins(1)=EdGraphPin'EdGraphPin_2885'
   NodePosX=1424
   NodePosY=-2528
   NodeComment="x"
   NodeGuid=DA778AB94E3AF00B99F2A3977BD54316
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_128"
   Begin Object Class=EdGraphPin Name="EdGraphPin_2887"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2886"
   End Object
   Begin Object Class=MaterialExpressionComponentMask Name="MaterialExpressionComponentMask_1"
   End Object
   Begin Object Name="EdGraphPin_2887"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_230.EdGraphPin_3169"'
      LinkedTo(1)=EdGraphPin'"MaterialGraphNode_230.EdGraphPin_3170"'
      LinkedTo(2)=EdGraphPin'"MaterialGraphNode_233.EdGraphPin_3178"'
   End Object
   Begin Object Name="EdGraphPin_2886"
      PinName="Input"
      PinFriendlyName=" "
      PinType=(PinCategory="required")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_130.EdGraphPin_2893"'
   End Object
   Begin Object Name="MaterialExpressionComponentMask_1"
      Input=(Expression=MaterialExpressionMultiply'"MaterialGraphNode_130.MaterialExpressionMultiply_67"')
      G=True
      MaterialExpressionEditorX=1424
      MaterialExpressionEditorY=-2432
      MaterialExpressionGuid=931691B4440D3A8CD3120A8BC0D1747C
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
      Desc="y"
   End Object
   MaterialExpression=MaterialExpressionComponentMask'MaterialExpressionComponentMask_1'
   Pins(0)=EdGraphPin'EdGraphPin_2886'
   Pins(1)=EdGraphPin'EdGraphPin_2887'
   NodePosX=1424
   NodePosY=-2432
   NodeComment="y"
   NodeGuid=CED82EBC4600C64B3E038DAE32F6893F
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_129"
   Begin Object Class=EdGraphPin Name="EdGraphPin_2890"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2889"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2888"
   End Object
   Begin Object Class=MaterialExpressionAdd Name="MaterialExpressionAdd_20"
   End Object
   Begin Object Name="EdGraphPin_2890"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_130.EdGraphPin_2891"'
   End Object
   Begin Object Name="EdGraphPin_2889"
      PinName="B"
      PinType=(PinCategory="optional")
   End Object
   Begin Object Name="EdGraphPin_2888"
      PinName="A"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_126.EdGraphPin_2883"'
   End Object
   Begin Object Name="MaterialExpressionAdd_20"
      A=(Expression=MaterialExpressionTextureCoordinate'"MaterialGraphNode_126.MaterialExpressionTextureCoordinate_0"')
      ConstB=-0.500000
      MaterialExpressionEditorX=1200
      MaterialExpressionEditorY=-2496
      MaterialExpressionGuid=316E8CF44D3F8E0798877D9AE21520C8
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpression=MaterialExpressionAdd'MaterialExpressionAdd_20'
   Pins(0)=EdGraphPin'EdGraphPin_2888'
   Pins(1)=EdGraphPin'EdGraphPin_2889'
   Pins(2)=EdGraphPin'EdGraphPin_2890'
   NodePosX=1200
   NodePosY=-2496
   NodeGuid=9FFB658E4EF2DABA9B1E3E9BF166D8CF
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_130"
   Begin Object Class=EdGraphPin Name="EdGraphPin_2893"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2892"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2891"
   End Object
   Begin Object Class=MaterialExpressionMultiply Name="MaterialExpressionMultiply_67"
   End Object
   Begin Object Name="EdGraphPin_2893"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_127.EdGraphPin_2884"'
      LinkedTo(1)=EdGraphPin'"MaterialGraphNode_128.EdGraphPin_2886"'
      LinkedTo(2)=EdGraphPin'"MaterialGraphNode_181.EdGraphPin_3038"'
   End Object
   Begin Object Name="EdGraphPin_2892"
      PinName="B"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_146.EdGraphPin_2939"'
   End Object
   Begin Object Name="EdGraphPin_2891"
      PinName="A"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_129.EdGraphPin_2890"'
   End Object
   Begin Object Name="MaterialExpressionMultiply_67"
      A=(Expression=MaterialExpressionAdd'"MaterialGraphNode_129.MaterialExpressionAdd_20"')
      B=(Expression=MaterialExpressionScalarParameter'"MaterialGraphNode_146.MaterialExpressionScalarParameter_4"')
      MaterialExpressionEditorX=1312
      MaterialExpressionEditorY=-2496
      MaterialExpressionGuid=81B33D2749940BE52AE8A4A2C8979C24
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpression=MaterialExpressionMultiply'MaterialExpressionMultiply_67'
   Pins(0)=EdGraphPin'EdGraphPin_2891'
   Pins(1)=EdGraphPin'EdGraphPin_2892'
   Pins(2)=EdGraphPin'EdGraphPin_2893'
   NodePosX=1312
   NodePosY=-2496
   NodeGuid=69D8D7394F6589A97424439039B13ED6
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_146"
   Begin Object Class=EdGraphPin Name="EdGraphPin_2939"
   End Object
   Begin Object Class=MaterialExpressionScalarParameter Name="MaterialExpressionScalarParameter_4"
   End Object
   Begin Object Name="EdGraphPin_2939"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_130.EdGraphPin_2892"'
   End Object
   Begin Object Name="MaterialExpressionScalarParameter_4"
      DefaultValue=4.000000
      ParameterName="Scale"
      ExpressionGUID=764808E84C677EEE027C8CA2516F3B57
      MaterialExpressionEditorX=1200
      MaterialExpressionEditorY=-2400
      MaterialExpressionGuid=DAEDC3A346B6E42A4EAFF889B1245C9D
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpression=MaterialExpressionScalarParameter'MaterialExpressionScalarParameter_4'
   Pins(0)=EdGraphPin'EdGraphPin_2939'
   NodePosX=1200
   NodePosY=-2400
   bCanRenameNode=True
   NodeGuid=A775221B43EE89B5ED35E181910B4BED
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_147"
   Begin Object Class=EdGraphPin Name="EdGraphPin_2941"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2940"
   End Object
   Begin Object Class=MaterialExpressionAbs Name="MaterialExpressionAbs_0"
   End Object
   Begin Object Name="EdGraphPin_2941"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_151.EdGraphPin_2949"'
   End Object
   Begin Object Name="EdGraphPin_2940"
      PinName="Input"
      PinFriendlyName=" "
      PinType=(PinCategory="required")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_229.EdGraphPin_3168"'
   End Object
   Begin Object Name="MaterialExpressionAbs_0"
      Input=(Expression=MaterialExpressionSubtract'"MaterialGraphNode_229.MaterialExpressionSubtract_25"')
      MaterialExpressionEditorX=1968
      MaterialExpressionEditorY=-2592
      MaterialExpressionGuid=EF5AFA7740E5B25326B077A05F633124
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpression=MaterialExpressionAbs'MaterialExpressionAbs_0'
   Pins(0)=EdGraphPin'EdGraphPin_2940'
   Pins(1)=EdGraphPin'EdGraphPin_2941'
   NodePosX=1968
   NodePosY=-2592
   ErrorType=1
   ErrorMsg="Missing Abs input"
   NodeGuid=DE98278C4A71D6EB216CEDA6CADA8FE8
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_148"
   Begin Object Class=EdGraphPin Name="EdGraphPin_2944"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2943"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2942"
   End Object
   Begin Object Class=MaterialExpressionAppendVector Name="MaterialExpressionAppendVector_0"
   End Object
   Begin Object Name="EdGraphPin_2944"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_149.EdGraphPin_2945"'
   End Object
   Begin Object Name="EdGraphPin_2943"
      PinName="B"
      PinType=(PinCategory="required")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_233.EdGraphPin_3180"'
   End Object
   Begin Object Name="EdGraphPin_2942"
      PinName="A"
      PinType=(PinCategory="required")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_232.EdGraphPin_3177"'
   End Object
   Begin Object Name="MaterialExpressionAppendVector_0"
      A=(Expression=MaterialExpressionMultiply'"MaterialGraphNode_232.MaterialExpressionMultiply_72"')
      B=(Expression=MaterialExpressionMultiply'"MaterialGraphNode_233.MaterialExpressionMultiply_73"')
      MaterialExpressionEditorX=1968
      MaterialExpressionEditorY=-2384
      MaterialExpressionGuid=29431FC64BDAC02C8A02208A2D09816E
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpression=MaterialExpressionAppendVector'MaterialExpressionAppendVector_0'
   Pins(0)=EdGraphPin'EdGraphPin_2942'
   Pins(1)=EdGraphPin'EdGraphPin_2943'
   Pins(2)=EdGraphPin'EdGraphPin_2944'
   NodePosX=1968
   NodePosY=-2384
   ErrorType=1
   ErrorMsg="Missing AppendVector input B"
   NodeGuid=230776734BA5355D1187288E62890C2B
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_149"
   Begin Object Class=EdGraphPin Name="EdGraphPin_2947"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2946"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2945"
   End Object
   Begin Object Class=MaterialExpressionDistance Name="MaterialExpressionDistance_0"
   End Object
   Begin Object Name="EdGraphPin_2947"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_151.EdGraphPin_2950"'
   End Object
   Begin Object Name="EdGraphPin_2946"
      PinName="B"
      PinType=(PinCategory="required")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_150.EdGraphPin_2948"'
   End Object
   Begin Object Name="EdGraphPin_2945"
      PinName="A"
      PinType=(PinCategory="required")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_148.EdGraphPin_2944"'
   End Object
   Begin Object Name="MaterialExpressionDistance_0"
      A=(Expression=MaterialExpressionAppendVector'"MaterialGraphNode_148.MaterialExpressionAppendVector_0"')
      B=(Expression=MaterialExpressionConstant'"MaterialGraphNode_150.MaterialExpressionConstant_0"')
      MaterialExpressionEditorX=2080
      MaterialExpressionEditorY=-2368
      MaterialExpressionGuid=E4D1D3B642F092600311F8BCD8C49FC5
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpression=MaterialExpressionDistance'MaterialExpressionDistance_0'
   Pins(0)=EdGraphPin'EdGraphPin_2945'
   Pins(1)=EdGraphPin'EdGraphPin_2946'
   Pins(2)=EdGraphPin'EdGraphPin_2947'
   NodePosX=2080
   NodePosY=-2368
   NodeGuid=B68E530F4C5871E333E10794515224AB
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_150"
   Begin Object Class=EdGraphPin Name="EdGraphPin_2948"
   End Object
   Begin Object Class=MaterialExpressionConstant Name="MaterialExpressionConstant_0"
   End Object
   Begin Object Name="EdGraphPin_2948"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_149.EdGraphPin_2946"'
   End Object
   Begin Object Name="MaterialExpressionConstant_0"
      MaterialExpressionEditorX=2000
      MaterialExpressionEditorY=-2288
      MaterialExpressionGuid=FFBAF88143BD4D8FF509B8950A69C957
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpression=MaterialExpressionConstant'MaterialExpressionConstant_0'
   Pins(0)=EdGraphPin'EdGraphPin_2948'
   NodePosX=2000
   NodePosY=-2288
   NodeGuid=1295298D4F4524B475E7A3B304695D02
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_151"
   Begin Object Class=EdGraphPin Name="EdGraphPin_2951"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2950"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_2949"
   End Object
   Begin Object Class=MaterialExpressionDivide Name="MaterialExpressionDivide_0"
   End Object
   Begin Object Name="EdGraphPin_2951"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_157.EdGraphPin_2970"'
   End Object
   Begin Object Name="EdGraphPin_2950"
      PinName="B"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_149.EdGraphPin_2947"'
   End Object
   Begin Object Name="EdGraphPin_2949"
      PinName="A"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_147.EdGraphPin_2941"'
   End Object
   Begin Object Name="MaterialExpressionDivide_0"
      A=(Expression=MaterialExpressionAbs'"MaterialGraphNode_147.MaterialExpressionAbs_0"')
      B=(Expression=MaterialExpressionDistance'"MaterialGraphNode_149.MaterialExpressionDistance_0"')
      MaterialExpressionEditorX=2192
      MaterialExpressionEditorY=-2416
      MaterialExpressionGuid=EF25D7594AF2E41188CBDBBB9C61CCE4
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_1'
   End Object
   MaterialExpression=MaterialExpressionDivide'MaterialExpressionDivide_0'
   Pins(0)=EdGraphPin'EdGraphPin_2949'
   Pins(1)=EdGraphPin'EdGraphPin_2950'
   Pins(2)=EdGraphPin'EdGraphPin_2951'
   NodePosX=2192
   NodePosY=-2416
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[UE4 Quick Tip] Removing Frac Artifacts

So with the (new) possibility to sample textures in a custom node it's also possible again to remove any kind of artifacts caused by non-continuous UVs (e.g. texture cropping/frac coords, polar coords etc...)

Given a texture object (Tex), mapping coordinates (UV) and non-frac coordinates (UV1) this is the HLSL code:

return Tex.SampleGrad(TexSampler,UV,ddx(UV1),ddy(UV1));

Using SampleGrad is 10 instructions cheaper than the 'ComputeMipLevel' material function and also preserves anisotropic filtering, so that's a double win.

[UE4 Quick Tip] Sampling Textures in Custom Nodes

With Unreal Engine 4.6 it's finally possible to sample a texture in a custom node without clumsy workarounds.

Given a texture object (Tex) and some coordinates (UV) this line of code will regularly sample a texture:

return Tex.Sample(TexSampler,UV);

Other sampling types like 'SampleGrad', 'SampleBias' or 'SampleLevel' should work just as fine.

[UE4 Quick Tip] Increase Tessellation Limit

By default UE4 limits the tessellation factor to 8. This has been done for performance reasons since certain GPUs struggle a lot with high amounts of subdivision and owning an old AMD DX11 graphics card myself I can completely see where they are coming from.
If you want to increase the tessellation factor anyway take a look at these shader files

\Unreal Engine\4.x\Engine\Shaders\Tessellation.usf
\Unreal Engine\4.x\Engine\Shaders\PNTriangles.usf

and search for  the 'MaxTessFactor' variable.

//@todo: This should be vectorized and done in the MainHull shader.
float4 CompositeTessellationFactors = TessellationMultipliers * CalculateCompositeTessellationFactors(WorldPostion0,WorldPostion1,WorldPostion2);

// Limit the tessellation factor to <= 8. The multiplies and saturates handle any potential NANs/INFs in CompositeTessellationFactors.
float4 MaxTessFactor = 8.0f;
float4 InvMaxTessFactor = 1.0f / MaxTessFactor;
       
// clamp at 1 to prevent triangle to disappear with
CompositeTessellationFactors = max(1, MaxTessFactor * saturate(CompositeTessellationFactors * InvMaxTessFactor));

Changing this value will cause a full (material) shader recompilation so it'll take some time when you open the editor the first time.

[Unreal Engine 4] Improving Screen Space Reflections

If you ever felt the need to adjust or improve the built-in screen space reflections of UE4 take a look at the ScreenSpaceReflections.usf shader file.
It's located in this directory: \Unreal Engine\4.x\Engine\Shaders\

In the SSR shader file search for this part of the code. The line number varies a bit with each engine version, but it should be somewhere around 340-350.

#if SSR_QUALITY == 1
const int NumSteps = 8;
const int NumRays = 1;
#elif SSR_QUALITY == 2
const int NumSteps = 16;
const int NumRays = 1;
#elif SSR_QUALITY == 3
const int NumSteps = 8;
const int NumRays = 4;
#else // SSR_QUALITY == 4
const int NumSteps = 12;
const int NumRays = 12;
#endif

There are 3 quality levels with 2 parameters which define the quality of reflections.

NumSteps - Number of steps. This defines the accuracy of reflections and causes a reasonable performance impact.
For any value above 32 you will hardly notice a difference
NumRays - Number of rays. Using more rays takes away the noise of reflections but is rather expensive.

The default settings are a bit strange since the number of steps drops from 16 back to 8 at quality level 3. My recommendation would be to set NumSteps to 16 for high quality. This comes at a little performance impact. You might also lower NumRays by 1 at the same time to gain back the lost FPS.

Here's a set of screenshots to demonstrate various value combinations as well as their impact on performance.

NumSteps=8 / NumRays=1

NumSteps=16 / NumRays=1

NumSteps=16 / NumRays=2

NumSteps=8 / NumRays=4

NumSteps=16 / NumRays=4

NumSteps=16 / NumRays=8

NumSteps=32 / NumRays=4

NumSteps=32 / NumRays=8

NumSteps=32 / NumRays=32

[UE3/UE4] Ocean Waves Normals

Using the world position offset (aka vertex shader) is a popular way of creating large scale ocean waves in unreal engine 3/4. The drawback is that any kind of deformed geometry won't affect the shading at all. That's why you need to manually calculate the new normals inside the material.
To do so it is necessary to calculate the derivatives of the same function which is used to form the ocean waves. The derivatives with respect to x and y are equivalent to the red and green channel of a normal map. Given these 2 components it is possible to calculate the missing 3rd component to get the final per pixel normals.
I'm well aware that there are many ways of implementing ocean motion but I decided to only cover one approach with 2 sub-types, directional waves and circular waves.
In a realistic ocean material you would usually combine multiple waves of different size, speed, direction/position, which also means you would need to duplicate the material graphs shown in this tutorial. Personally I wouldn't calculate the normal for more than 3-4 waves to keep the overall material complexity at a moedrate level.

The material setups below will only work properly if  "Tangent Space Normal" is unchecked in the material properties. This is due to the fact that all calculations are done in world space which also means the generated normals are in world space. If you like to combine these normals with a normal map you would need to do transformation from world to tangent space first.


Directional Waves

Directional waves are based on the dot product between the world position of each pixel and a world space direction vector. This dot product gets added to the time and then fed into a sine node to move the vertices along the z-axis.

Generating normals for directional waves is rather easy. The sine node is being replaced by cosine and then multiplied by the direction vectors' x- and y-component.
In the example below you can also see that the normal intensity is automatically calculated by comparing the length and height of a wave.

Circular Waves

Circular waves are defined by an origin point and the distance between this origin and the world position. Similar to the directional wave setup this distance is added to time and then fed into a sine node.

The material setup for calculating the derivatives for circular waves is a bit more complex, because the distance node involves a square root.

[Unreal Engine 4] Custom Ambient Cubemap Post Process

When posting a quick tip about this topic several weeks ago, I wasn't very specific about how to setup the material at all... so here's the missing addendum.

When comparing the screenshots below you can clearly tell that my simplified version is not physically accurate, as it's missing a fesnel effect which would strengthen reflections at extreme angles. In addition it doesn't take MaterialAO and Specularity into account.
You can however add these missing features if you need them. For further reference you might want to take a look at the PostProcessAmbient.usf shader file to see how epic did it.


Material

Direct Light Only

Built-in Ambient Cubemap PP

Custom Ambient Cubemap PP

[Unreal Engine 4] Automated Terrain Texturing

In this post I'm going through some material setups to auto-texture a landscape. This can be very handy for landscapes sculpted inside the editor or for any kind of prototyping. Personally I've been using this technique for quickly testing many different landscapes coming from an external terrain generation software.


For the automated texturing I'm using 2 common methods: blending textures based on slope and blending based on height.


Slope Blending

Slope blending is based on the blue channel of the world space normals.
For the material setup below keep in mind that the 'Angle' parameter has a range of 0-1 which translates to 0°-90°.
0.25 as in this example means Texture B would show up for areas where the slope of the terrain is 77,5° (=1-0.25)*90) or more, Texture A would be mapped to areas with a slope ranging from 0° to 77,5°.

Height Blending

Height blending is based on the blue channel of the absolute world position. The 'Height' and 'HeightFalloff' parameters are world space values.

Combining Both Methods

For some more advanced texture blending you might want to combine both approaches.

1.) In this example I want to blend grass and rocks based on slope. However I don't want the grass to show up on top of the mountains, so I'm using an additional height blend as well.

2.) Another example would be some snow on top of the mountains. Using only a height blend would look pretty unnatural, that's why I'm adding a slope blend which gives a more realistic look.
 

Example

My basic material is blending between 2 types of grass (height blending) and 2 types of rock (slope blending).

For the advanced material I've added an additional height blend for some sand when there is supposed to be a lake or ocean and a snow blend (height+slope combined):

Download

Well, no download here... all you need to do is copy and paste the code below to your material to get the same nodes as in the advanced example:

Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_200"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3617"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3616"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3615"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3614"
   End Object
   Begin Object Class=MaterialExpressionLinearInterpolate Name="MaterialExpressionLinearInterpolate_21"
   End Object
   Begin Object Name="EdGraphPin_3617"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_Root_2.EdGraphPin_3591"'
   End Object
   Begin Object Name="EdGraphPin_3616"
      PinName="Alpha"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_282.EdGraphPin_3810"'
   End Object
   Begin Object Name="EdGraphPin_3615"
      PinName="B"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_251.EdGraphPin_3735"'
   End Object
   Begin Object Name="EdGraphPin_3614"
      PinName="A"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_201.EdGraphPin_3621"'
   End Object
   Begin Object Name="MaterialExpressionLinearInterpolate_21"
      A=(Expression=MaterialExpressionLinearInterpolate'"MaterialGraphNode_201.MaterialExpressionLinearInterpolate_22"')
      B=(Expression=MaterialExpressionConstant3Vector'"MaterialGraphNode_251.MaterialExpressionConstant3Vector_26"')
      Alpha=(Expression=MaterialExpressionPower'"MaterialGraphNode_282.MaterialExpressionPower_14"')
      MaterialExpressionEditorX=-176
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionLinearInterpolate'MaterialExpressionLinearInterpolate_21'
   Pins(0)=EdGraphPin'EdGraphPin_3614'
   Pins(1)=EdGraphPin'EdGraphPin_3615'
   Pins(2)=EdGraphPin'EdGraphPin_3616'
   Pins(3)=EdGraphPin'EdGraphPin_3617'
   NodePosX=-176
   NodeGuid=685B85D844CE0652C97A3C99BF97174B
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_201"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3621"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3620"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3619"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3618"
   End Object
   Begin Object Class=MaterialExpressionLinearInterpolate Name="MaterialExpressionLinearInterpolate_22"
   End Object
   Begin Object Name="EdGraphPin_3621"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_200.EdGraphPin_3614"'
   End Object
   Begin Object Name="EdGraphPin_3620"
      PinName="Alpha"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_225.EdGraphPin_3676"'
   End Object
   Begin Object Name="EdGraphPin_3619"
      PinName="B"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_222.EdGraphPin_3669"'
   End Object
   Begin Object Name="EdGraphPin_3618"
      PinName="A"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_202.EdGraphPin_3625"'
   End Object
   Begin Object Name="MaterialExpressionLinearInterpolate_22"
      A=(Expression=MaterialExpressionLinearInterpolate'"MaterialGraphNode_202.MaterialExpressionLinearInterpolate_23"')
      B=(Expression=MaterialExpressionConstant3Vector'"MaterialGraphNode_222.MaterialExpressionConstant3Vector_23"')
      Alpha=(Expression=MaterialExpressionPower'"MaterialGraphNode_225.MaterialExpressionPower_13"')
      MaterialExpressionEditorX=-368
      MaterialExpressionEditorY=-192
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionLinearInterpolate'MaterialExpressionLinearInterpolate_22'
   Pins(0)=EdGraphPin'EdGraphPin_3618'
   Pins(1)=EdGraphPin'EdGraphPin_3619'
   Pins(2)=EdGraphPin'EdGraphPin_3620'
   Pins(3)=EdGraphPin'EdGraphPin_3621'
   NodePosX=-368
   NodePosY=-192
   NodeGuid=C9D116674874B161A0AAD398E16B88A2
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_202"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3625"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3624"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3623"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3622"
   End Object
   Begin Object Class=MaterialExpressionLinearInterpolate Name="MaterialExpressionLinearInterpolate_23"
   End Object
   Begin Object Name="EdGraphPin_3625"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_201.EdGraphPin_3618"'
   End Object
   Begin Object Name="EdGraphPin_3624"
      PinName="Alpha"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_249.EdGraphPin_3733"'
   End Object
   Begin Object Name="EdGraphPin_3623"
      PinName="B"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_223.EdGraphPin_3670"'
   End Object
   Begin Object Name="EdGraphPin_3622"
      PinName="A"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_248.EdGraphPin_3730"'
   End Object
   Begin Object Name="MaterialExpressionLinearInterpolate_23"
      A=(Expression=MaterialExpressionLinearInterpolate'"MaterialGraphNode_248.MaterialExpressionLinearInterpolate_24"')
      B=(Expression=MaterialExpressionConstant3Vector'"MaterialGraphNode_223.MaterialExpressionConstant3Vector_24"')
      Alpha=(Expression=MaterialExpressionMaterialFunctionCall'"MaterialGraphNode_249.MaterialExpressionMaterialFunctionCall_5"')
      ConstB=0.500000
      MaterialExpressionEditorX=-544
      MaterialExpressionEditorY=-400
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionLinearInterpolate'MaterialExpressionLinearInterpolate_23'
   Pins(0)=EdGraphPin'EdGraphPin_3622'
   Pins(1)=EdGraphPin'EdGraphPin_3623'
   Pins(2)=EdGraphPin'EdGraphPin_3624'
   Pins(3)=EdGraphPin'EdGraphPin_3625'
   NodePosX=-544
   NodePosY=-400
   NodeGuid=590CB4DE4B6E2BEBEB68BA9F73082B62
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_203"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3626"
   End Object
   Begin Object Class=MaterialExpressionVertexNormalWS Name="MaterialExpressionVertexNormalWS_14"
   End Object
   Begin Object Name="EdGraphPin_3626"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_204.EdGraphPin_3627"'
   End Object
   Begin Object Name="MaterialExpressionVertexNormalWS_14"
      MaterialExpressionEditorX=-1760
      MaterialExpressionEditorY=-416
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionVertexNormalWS'MaterialExpressionVertexNormalWS_14'
   Pins(0)=EdGraphPin'EdGraphPin_3626'
   NodePosX=-1760
   NodePosY=-416
   NodeGuid=DD13FC2B4A737B625FDB48ABFB56A05B
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_204"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3628"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3627"
   End Object
   Begin Object Class=MaterialExpressionComponentMask Name="MaterialExpressionComponentMask_30"
   End Object
   Begin Object Name="EdGraphPin_3628"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_205.EdGraphPin_3629"'
   End Object
   Begin Object Name="EdGraphPin_3627"
      PinName="Input"
      PinFriendlyName=" "
      PinType=(PinCategory="required")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_203.EdGraphPin_3626"'
   End Object
   Begin Object Name="MaterialExpressionComponentMask_30"
      Input=(Expression=MaterialExpressionVertexNormalWS'"MaterialGraphNode_203.MaterialExpressionVertexNormalWS_14"')
      B=True
      MaterialExpressionEditorX=-1584
      MaterialExpressionEditorY=-416
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionComponentMask'MaterialExpressionComponentMask_30'
   Pins(0)=EdGraphPin'EdGraphPin_3627'
   Pins(1)=EdGraphPin'EdGraphPin_3628'
   NodePosX=-1584
   NodePosY=-416
   NodeGuid=46238FCF49A64AE15B0FB199C65598A4
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_205"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3631"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3630"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3629"
   End Object
   Begin Object Class=MaterialExpressionSubtract Name="MaterialExpressionSubtract_39"
   End Object
   Begin Object Name="EdGraphPin_3631"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_208.EdGraphPin_3638"'
   End Object
   Begin Object Name="EdGraphPin_3630"
      PinName="B"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_210.EdGraphPin_3644"'
   End Object
   Begin Object Name="EdGraphPin_3629"
      PinName="A"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_204.EdGraphPin_3628"'
   End Object
   Begin Object Name="MaterialExpressionSubtract_39"
      A=(Expression=MaterialExpressionComponentMask'"MaterialGraphNode_204.MaterialExpressionComponentMask_30"')
      B=(Expression=MaterialExpressionScalarParameter'"MaterialGraphNode_210.MaterialExpressionScalarParameter_50"')
      ConstB=0.500000
      MaterialExpressionEditorX=-1472
      MaterialExpressionEditorY=-416
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionSubtract'MaterialExpressionSubtract_39'
   Pins(0)=EdGraphPin'EdGraphPin_3629'
   Pins(1)=EdGraphPin'EdGraphPin_3630'
   Pins(2)=EdGraphPin'EdGraphPin_3631'
   NodePosX=-1472
   NodePosY=-416
   NodeGuid=FACC47FE4059E4B4B8AAB98E3B5EE43E
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_206"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3634"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3633"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3632"
   End Object
   Begin Object Class=MaterialExpressionMultiply Name="MaterialExpressionMultiply_31"
   End Object
   Begin Object Name="EdGraphPin_3634"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_219.EdGraphPin_3664"'
   End Object
   Begin Object Name="EdGraphPin_3633"
      PinName="B"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_207.EdGraphPin_3637"'
   End Object
   Begin Object Name="EdGraphPin_3632"
      PinName="A"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_208.EdGraphPin_3641"'
   End Object
   Begin Object Name="MaterialExpressionMultiply_31"
      A=(Expression=MaterialExpressionClamp'"MaterialGraphNode_208.MaterialExpressionClamp_31"')
      B=(Expression=MaterialExpressionDivide'"MaterialGraphNode_207.MaterialExpressionDivide_39"')
      ConstB=2.000000
      MaterialExpressionEditorX=-1168
      MaterialExpressionEditorY=-416
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionMultiply'MaterialExpressionMultiply_31'
   Pins(0)=EdGraphPin'EdGraphPin_3632'
   Pins(1)=EdGraphPin'EdGraphPin_3633'
   Pins(2)=EdGraphPin'EdGraphPin_3634'
   NodePosX=-1168
   NodePosY=-416
   NodeGuid=5B32F5014DBAEEA0E69C27B3C051A0BF
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_207"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3637"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3636"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3635"
   End Object
   Begin Object Class=MaterialExpressionDivide Name="MaterialExpressionDivide_39"
   End Object
   Begin Object Name="EdGraphPin_3637"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_206.EdGraphPin_3633"'
   End Object
   Begin Object Name="EdGraphPin_3636"
      PinName="B"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_209.EdGraphPin_3643"'
   End Object
   Begin Object Name="EdGraphPin_3635"
      PinName="A"
      PinType=(PinCategory="optional")
   End Object
   Begin Object Name="MaterialExpressionDivide_39"
      B=(Expression=MaterialExpressionOneMinus'"MaterialGraphNode_209.MaterialExpressionOneMinus_21"')
      MaterialExpressionEditorX=-1472
      MaterialExpressionEditorY=-320
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionDivide'MaterialExpressionDivide_39'
   Pins(0)=EdGraphPin'EdGraphPin_3635'
   Pins(1)=EdGraphPin'EdGraphPin_3636'
   Pins(2)=EdGraphPin'EdGraphPin_3637'
   NodePosX=-1472
   NodePosY=-320
   NodeGuid=C709A9694402502ADA529EB3B34DF8FA
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_208"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3641"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3640"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3639"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3638"
   End Object
   Begin Object Class=MaterialExpressionClamp Name="MaterialExpressionClamp_31"
   End Object
   Begin Object Name="EdGraphPin_3641"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_206.EdGraphPin_3632"'
   End Object
   Begin Object Name="EdGraphPin_3640"
      PinName="Max"
      PinType=(PinCategory="optional")
   End Object
   Begin Object Name="EdGraphPin_3639"
      PinName="Min"
      PinType=(PinCategory="optional")
   End Object
   Begin Object Name="EdGraphPin_3638"
      PinName="Input"
      PinFriendlyName=" "
      PinType=(PinCategory="required")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_205.EdGraphPin_3631"'
   End Object
   Begin Object Name="MaterialExpressionClamp_31"
      Input=(Expression=MaterialExpressionSubtract'"MaterialGraphNode_205.MaterialExpressionSubtract_39"')
      MaterialExpressionEditorX=-1360
      MaterialExpressionEditorY=-416
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionClamp'MaterialExpressionClamp_31'
   Pins(0)=EdGraphPin'EdGraphPin_3638'
   Pins(1)=EdGraphPin'EdGraphPin_3639'
   Pins(2)=EdGraphPin'EdGraphPin_3640'
   Pins(3)=EdGraphPin'EdGraphPin_3641'
   NodePosX=-1360
   NodePosY=-416
   NodeGuid=25C578CD4C20DDEC7C9137BC7F875A88
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_209"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3643"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3642"
   End Object
   Begin Object Class=MaterialExpressionOneMinus Name="MaterialExpressionOneMinus_21"
   End Object
   Begin Object Name="EdGraphPin_3643"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_207.EdGraphPin_3636"'
   End Object
   Begin Object Name="EdGraphPin_3642"
      PinName="Input"
      PinFriendlyName=" "
      PinType=(PinCategory="required")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_210.EdGraphPin_3644"'
   End Object
   Begin Object Name="MaterialExpressionOneMinus_21"
      Input=(Expression=MaterialExpressionScalarParameter'"MaterialGraphNode_210.MaterialExpressionScalarParameter_50"')
      MaterialExpressionEditorX=-1568
      MaterialExpressionEditorY=-304
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionOneMinus'MaterialExpressionOneMinus_21'
   Pins(0)=EdGraphPin'EdGraphPin_3642'
   Pins(1)=EdGraphPin'EdGraphPin_3643'
   NodePosX=-1568
   NodePosY=-304
   NodeGuid=CD21FB1C4CDC941E4D4330A599582345
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_210"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3644"
   End Object
   Begin Object Class=MaterialExpressionScalarParameter Name="MaterialExpressionScalarParameter_50"
   End Object
   Begin Object Name="EdGraphPin_3644"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_205.EdGraphPin_3630"'
      LinkedTo(1)=EdGraphPin'"MaterialGraphNode_209.EdGraphPin_3642"'
   End Object
   Begin Object Name="MaterialExpressionScalarParameter_50"
      DefaultValue=0.500000
      ParameterName="Angle_01"
      ExpressionGUID=4551FE154817876FEC73A8A3981C1380
      MaterialExpressionEditorX=-1712
      MaterialExpressionEditorY=-336
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionScalarParameter'MaterialExpressionScalarParameter_50'
   Pins(0)=EdGraphPin'EdGraphPin_3644'
   NodePosX=-1712
   NodePosY=-336
   bCanRenameNode=True
   NodeGuid=A7669FBD43E9CDC41A441C9E675E7A24
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_211"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3645"
   End Object
   Begin Object Class=MaterialExpressionVertexNormalWS Name="MaterialExpressionVertexNormalWS_15"
   End Object
   Begin Object Name="EdGraphPin_3645"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_212.EdGraphPin_3646"'
   End Object
   Begin Object Name="MaterialExpressionVertexNormalWS_15"
      MaterialExpressionEditorX=-1728
      MaterialExpressionEditorY=-192
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionVertexNormalWS'MaterialExpressionVertexNormalWS_15'
   Pins(0)=EdGraphPin'EdGraphPin_3645'
   NodePosX=-1728
   NodePosY=-192
   NodeGuid=B83897C04557D220C7886882DFDD17FF
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_212"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3647"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3646"
   End Object
   Begin Object Class=MaterialExpressionComponentMask Name="MaterialExpressionComponentMask_31"
   End Object
   Begin Object Name="EdGraphPin_3647"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_213.EdGraphPin_3648"'
   End Object
   Begin Object Name="EdGraphPin_3646"
      PinName="Input"
      PinFriendlyName=" "
      PinType=(PinCategory="required")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_211.EdGraphPin_3645"'
   End Object
   Begin Object Name="MaterialExpressionComponentMask_31"
      Input=(Expression=MaterialExpressionVertexNormalWS'"MaterialGraphNode_211.MaterialExpressionVertexNormalWS_15"')
      B=True
      MaterialExpressionEditorX=-1568
      MaterialExpressionEditorY=-176
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionComponentMask'MaterialExpressionComponentMask_31'
   Pins(0)=EdGraphPin'EdGraphPin_3646'
   Pins(1)=EdGraphPin'EdGraphPin_3647'
   NodePosX=-1568
   NodePosY=-176
   NodeGuid=6529C7294AB1B5A79995049250D46015
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_213"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3650"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3649"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3648"
   End Object
   Begin Object Class=MaterialExpressionSubtract Name="MaterialExpressionSubtract_40"
   End Object
   Begin Object Name="EdGraphPin_3650"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_216.EdGraphPin_3657"'
   End Object
   Begin Object Name="EdGraphPin_3649"
      PinName="B"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_218.EdGraphPin_3663"'
   End Object
   Begin Object Name="EdGraphPin_3648"
      PinName="A"
      PinType=(PinCategory="optional")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_212.EdGraphPin_3647"'
   End Object
   Begin Object Name="MaterialExpressionSubtract_40"
      A=(Expression=MaterialExpressionComponentMask'"MaterialGraphNode_212.MaterialExpressionComponentMask_31"')
      B=(Expression=MaterialExpressionScalarParameter'"MaterialGraphNode_218.MaterialExpressionScalarParameter_51"')
      ConstB=0.500000
      MaterialExpressionEditorX=-1456
      MaterialExpressionEditorY=-176
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionSubtract'MaterialExpressionSubtract_40'
   Pins(0)=EdGraphPin'EdGraphPin_3648'
   Pins(1)=EdGraphPin'EdGraphPin_3649'
   Pins(2)=EdGraphPin'EdGraphPin_3650'
   NodePosX=-1456
   NodePosY=-176
   NodeGuid=AC17506540C2EC0813DAD6B472840269
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_214"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3653"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3652"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3651"
   End Object
   Begin Object Class=MaterialExpressionMultiply Name="MaterialExpressionMultiply_32"
   End Object
   Begin Object Name="EdGraphPin_3653"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_220.EdGraphPin_3666"'
   End Object
   Begin Object Name="EdGraphPin_3652"
      PinName="B"
      PinType=(PinCategory="optional")
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End Object
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End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_239"
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End Object
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_242"
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End Object
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_249"
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End Object
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_274"
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   Begin Object Name="MaterialExpressionVertexNormalWS_16"
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_285"
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   End Object
   MaterialExpression=MaterialExpressionMultiply'MaterialExpressionMultiply_38'
   Pins(0)=EdGraphPin'EdGraphPin_3815'
   Pins(1)=EdGraphPin'EdGraphPin_3816'
   Pins(2)=EdGraphPin'EdGraphPin_3817'
   NodePosX=-768
   NodePosY=352
   NodeGuid=BF7C7BEE42202210229E58A227A1E060
End Object
Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_286"
   Begin Object Class=EdGraphPin Name="EdGraphPin_3821"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3820"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3819"
   End Object
   Begin Object Class=EdGraphPin Name="EdGraphPin_3818"
   End Object
   Begin Object Class=MaterialExpressionClamp Name="MaterialExpressionClamp_38"
   End Object
   Begin Object Name="EdGraphPin_3821"
      PinName="Output"
      PinFriendlyName=" "
      Direction=EGPD_Output
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_282.EdGraphPin_3808"'
   End Object
   Begin Object Name="EdGraphPin_3820"
      PinName="Max"
      PinType=(PinCategory="optional")
   End Object
   Begin Object Name="EdGraphPin_3819"
      PinName="Min"
      PinType=(PinCategory="optional")
   End Object
   Begin Object Name="EdGraphPin_3818"
      PinName="Input"
      PinFriendlyName=" "
      PinType=(PinCategory="required")
      LinkedTo(0)=EdGraphPin'"MaterialGraphNode_285.EdGraphPin_3817"'
   End Object
   Begin Object Name="MaterialExpressionClamp_38"
      Input=(Expression=MaterialExpressionMultiply'"MaterialGraphNode_285.MaterialExpressionMultiply_38"')
      MaterialExpressionEditorX=-672
      MaterialExpressionEditorY=352
      Material=PreviewMaterial'/Engine/Transient.PreviewMaterial_2'
   End Object
   MaterialExpression=MaterialExpressionClamp'MaterialExpressionClamp_38'
   Pins(0)=EdGraphPin'EdGraphPin_3818'
   Pins(1)=EdGraphPin'EdGraphPin_3819'
   Pins(2)=EdGraphPin'EdGraphPin_3820'
   Pins(3)=EdGraphPin'EdGraphPin_3821'
   NodePosX=-672
   NodePosY=352
   NodeGuid=33DCE5444722F7B12CB53DBD1F6A509C
End Object