HDRenderPipeline: Move calculation of CreateTangentToWorld to pixel shader

Assets/ScriptableRenderPipeline/HDRenderPipeline/Material/Lit/LitData.hlsl

     surfaceData.metallic = SURFACEDATA_BLEND_SCALAR(surfaceData, metallic, weights);
 
     // Init other unused parameter
-    surfaceData.tangentWS = normalize(input.tangentToWorld[0].xyz);
+    surfaceData.tangentWS = input.tangentToWorld[0].xyz;
     surfaceData.materialId = 0;
     surfaceData.anisotropy = 0;
     surfaceData.specular = 0.04;

Assets/ScriptableRenderPipeline/HDRenderPipeline/Material/Lit/LitDataInternal.hlsl

     surfaceData.tangentWS = TransformObjectToWorldDir(tangentOS);
 #endif
 #else
-    surfaceData.tangentWS = normalize(input.tangentToWorld[0].xyz);
+    surfaceData.tangentWS = input.tangentToWorld[0].xyz;
 #endif
     // TODO: Is there anything todo regarding flip normal but for the tangent ?
 

Assets/ScriptableRenderPipeline/HDRenderPipeline/ShaderPass/FragInputs.hlsl

     float2 texCoord1;
     float2 texCoord2;
     float2 texCoord3;
-    float3 tangentToWorld[3];
+    float3 tangentToWorld[3]; // These 3 vectors are normalized (no need for the material to normalize)
     float4 color; // vertex color
 
     // For two sided lighting

Assets/ScriptableRenderPipeline/HDRenderPipeline/ShaderPass/VaryingMesh.hlsl

     float3 positionWS;
 #endif
 #ifdef VARYINGS_NEED_TANGENT_TO_WORLD
-    float3 tangentToWorld[3];
+    float3 normalWS;
+    float4 tangentWS;  // w contain mirror sign
 #endif
 #ifdef VARYINGS_NEED_TEXCOORD0
     float2 texCoord0;
 {
     float4 positionCS : SV_Position;
 
+#ifdef VARYINGS_NEED_POSITION_WS
+    float3 interpolators0 : TEXCOORD0;
+#endif
+
-    #ifdef VARYINGS_NEED_POSITION_WS
-    // if present, pack positionWS
-    float4 interpolators1 : TEXCOORD1;
-    float4 interpolators2 : TEXCOORD2;
-    float4 interpolators3 : TEXCOORD3;
-    #else
-    float3 interpolators2 : TEXCOORD2;
-    float3 interpolators3 : TEXCOORD3;
-    #endif
-#else
-    #ifdef VARYINGS_NEED_POSITION_WS
-    float3 interpolators0 : TEXCOORD0;
-    #endif
+    float4 interpolators2 : TEXCOORD2;
-    float4 interpolators4 : TEXCOORD4;
+    float4 interpolators3 : TEXCOORD3;
-    float2 interpolators4 : TEXCOORD4;
+    float2 interpolators3 : TEXCOORD3;
-    float4 interpolators5 : TEXCOORD5;
+    float4 interpolators4 : TEXCOORD4;
-    float2 interpolators5 : TEXCOORD5;
+    float2 interpolators4 : TEXCOORD4;
-    float4 interpolators6 : TEXCOORD6;
+    float4 interpolators5 : TEXCOORD5;
 #endif
 
 #if defined(VARYINGS_NEED_CULLFACE) && SHADER_STAGE_FRAGMENT
 
     output.positionCS = input.positionCS;
 
-#ifdef VARYINGS_NEED_TANGENT_TO_WORLD
-    output.interpolators1.xyz = input.tangentToWorld[0];
-    output.interpolators2.xyz = input.tangentToWorld[1];
-    output.interpolators3.xyz = input.tangentToWorld[2];
-    #ifdef VARYINGS_NEED_POSITION_WS
-    output.interpolators1.w = input.positionWS.x;
-    output.interpolators2.w = input.positionWS.y;
-    output.interpolators3.w = input.positionWS.z;
-    #endif
-#else
-    #ifdef VARYINGS_NEED_POSITION_WS
+#ifdef VARYINGS_NEED_POSITION_WS
-    #endif
+#endif
+
+#ifdef VARYINGS_NEED_TANGENT_TO_WORLD
+    output.interpolators1 = input.normalWS;
+    output.interpolators2 = input.tangentWS;
-    output.interpolators4.xy = input.texCoord0;
+    output.interpolators3.xy = input.texCoord0;
-    output.interpolators4.zw = input.texCoord1;
+    output.interpolators3.zw = input.texCoord1;
-    output.interpolators5.xy = input.texCoord2;
+    output.interpolators4.xy = input.texCoord2;
-    output.interpolators5.zw = input.texCoord3;
+    output.interpolators4.zw = input.texCoord3;
-    output.interpolators6 = input.color;
+    output.interpolators5 = input.color;
 #endif
 
     return output;
 
     output.unPositionSS = input.positionCS; // input.positionCS is SV_Position
 
+#ifdef VARYINGS_NEED_POSITION_WS
+    output.positionWS.xyz = input.interpolators0.xyz;
+#endif
+
-    output.tangentToWorld[0] = input.interpolators1.xyz;
-    output.tangentToWorld[1] = input.interpolators2.xyz;
-    output.tangentToWorld[2] = input.interpolators3.xyz;
-    #ifdef VARYINGS_NEED_POSITION_WS
-    output.positionWS.xyz = float3(input.interpolators1.w, input.interpolators2.w, input.interpolators3.w);
-    #endif
-#else
-    #ifdef VARYINGS_NEED_POSITION_WS
-    output.positionWS.xyz = input.interpolators0.xyz;
-    #endif
+    // Normalize the normal/tangent after interpolation
+    float3 normalWS = normalize(input.interpolators1);
+    float4 tangentWS = float4(normalize(input.interpolators2.xyz), input.interpolators2.w);
+    float3x3 tangentToWorld = CreateTangentToWorld(normalWS, tangentWS.xyz, tangentWS.w);
+    output.tangentToWorld[0] = tangentToWorld[0];
+    output.tangentToWorld[1] = tangentToWorld[1];
+    output.tangentToWorld[2] = tangentToWorld[2];
-    output.texCoord0 = input.interpolators4.xy;
+    output.texCoord0 = input.interpolators3.xy;
-    output.texCoord1 = input.interpolators4.zw;
+    output.texCoord1 = input.interpolators3.zw;
-    output.texCoord2 = input.interpolators5.xy;
+    output.texCoord2 = input.interpolators4.xy;
-    output.texCoord3 = input.interpolators5.zw;
+    output.texCoord3 = input.interpolators4.zw;
-    output.color = input.interpolators6;
+    output.color = input.interpolators5;
 #endif
 
 #if defined(VARYINGS_NEED_CULLFACE) && SHADER_STAGE_FRAGMENT

Assets/ScriptableRenderPipeline/HDRenderPipeline/ShaderPass/VertMesh.hlsl

     #endif
     output.positionCS = TransformWorldToHClip(positionWS);
     #ifdef VARYINGS_NEED_TANGENT_TO_WORLD
-    float3 normalWS = TransformObjectToWorldNormal(input.normalOS);
-    float4 tangentWS = float4(TransformObjectToWorldDir(input.tangentOS.xyz), input.tangentOS.w);
-
-    float3x3 tangentToWorld = CreateTangentToWorld(normalWS, tangentWS.xyz, tangentWS.w);
-    output.tangentToWorld[0] = tangentToWorld[0];
-    output.tangentToWorld[1] = tangentToWorld[1];
-    output.tangentToWorld[2] = tangentToWorld[2];
+    output.normalWS = TransformObjectToWorldNormal(input.normalOS);
+    output.tangentWS = float4(TransformObjectToWorldDir(input.tangentOS.xyz), input.tangentOS.w);
     #endif
 #endif
 
 {
     VaryingsMeshToPS output;
 
+    output.positionCS = TransformWorldToHClip(input.positionWS);
+
-    output.positionCS = TransformWorldToHClip(input.positionWS);
+
-    float3x3 tangentToWorld = CreateTangentToWorld(input.normalWS, input.tangentWS.xyz, input.tangentWS.w);
-    output.tangentToWorld[0] = tangentToWorld[0];
-    output.tangentToWorld[1] = tangentToWorld[1];
-    output.tangentToWorld[2] = tangentToWorld[2];
+    output.normalWS = input.normalWS;
+    output.tangentWS = input.tangentWS;
 #endif
 
 #ifdef VARYINGS_NEED_TEXCOORD0