[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.