kc3-lang/angle/src/compiler/translator/TextureFunctionHLSL.cpp

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• Author : Stuart Morgan
  Date : 2019-08-14 12:25:12
  Hash : 9d737966
  Message : Standardize copyright notices to project style For all "ANGLE Project" copyrights, standardize to the format specified by the style guide. Changes: - "Copyright (c)" and "Copyright(c)" changed to just "Copyright". - Removed the second half of date ranges ("Y1Y1-Y2Y2"->"Y1Y1"). - Fixed a small number of files that had no copyright date using the initial commit year from the version control history. - Fixed one instance of copyright being "The ANGLE Project" rather than "The ANGLE Project Authors" These changes are applied both to the copyright of source file, and where applicable to copyright statements that are generated by templates. BUG=angleproject:3811 Change-Id: I973dd65e4ef9deeba232d5be74c768256a0eb2e5 Reviewed-on: https://chromium-review.googlesource.com/c/angle/angle/+/1754397 Commit-Queue: Jamie Madill <jmadill@chromium.org> Reviewed-by: Jamie Madill <jmadill@chromium.org>

• src/compiler/translator/TextureFunctionHLSL.cpp

• //
  // Copyright 2016 The ANGLE Project Authors. All rights reserved.
  // Use of this source code is governed by a BSD-style license that can be
  // found in the LICENSE file.
  //
  // TextureFunctionHLSL: Class for writing implementations of ESSL texture functions into HLSL
  // output. Some of the implementations are straightforward and just call the HLSL equivalent of the
  // ESSL texture function, others do more work to emulate ESSL texture sampling or size query
  // behavior.
  //
  
  #include "compiler/translator/TextureFunctionHLSL.h"
  
  #include "compiler/translator/ImmutableStringBuilder.h"
  #include "compiler/translator/UtilsHLSL.h"
  
  namespace sh
  {
  
  namespace
  {
  
  void OutputIntTexCoordWrap(TInfoSinkBase &out,
                             const char *wrapMode,
                             const char *size,
                             const ImmutableString &texCoord,
                             const char *texCoordOffset,
                             const char *texCoordOutName)
  {
      // GLES 3.0.4 table 3.22 specifies how the wrap modes work. We don't use the formulas verbatim
      // but rather use equivalent formulas that map better to HLSL.
      out << "int " << texCoordOutName << ";\n";
      out << "float " << texCoordOutName << "Offset = " << texCoord << " + float(" << texCoordOffset
          << ") / " << size << ";\n";
      out << "bool " << texCoordOutName << "UseBorderColor = false;\n";
  
      // CLAMP_TO_EDGE
      out << "if (" << wrapMode << " == 0)\n";
      out << "{\n";
      out << "    " << texCoordOutName << " = clamp(int(floor(" << size << " * " << texCoordOutName
          << "Offset)), 0, int(" << size << ") - 1);\n";
      out << "}\n";
  
      // CLAMP_TO_BORDER
      out << "else if (" << wrapMode << " == 3)\n";
      out << "{\n";
      out << "    int texCoordInt = int(floor(" << size << " * " << texCoordOutName << "Offset));\n";
      out << "    " << texCoordOutName << " = clamp(texCoordInt, 0, int(" << size << ") - 1);\n";
      out << "    " << texCoordOutName << "UseBorderColor = (texCoordInt != " << texCoordOutName
          << ");\n";
      out << "}\n";
  
      // MIRRORED_REPEAT
      out << "else if (" << wrapMode << " == 2)\n";
      out << "{\n";
      out << "    float coordWrapped = 1.0 - abs(frac(abs(" << texCoordOutName
          << "Offset) * 0.5) * 2.0 - 1.0);\n";
      out << "    " << texCoordOutName << " = int(floor(" << size << " * coordWrapped));\n";
      out << "}\n";
  
      // REPEAT
      out << "else\n";
      out << "{\n";
      out << "    " << texCoordOutName << " = int(floor(" << size << " * frac(" << texCoordOutName
          << "Offset)));\n";
      out << "}\n";
  }
  
  void OutputIntTexCoordWraps(TInfoSinkBase &out,
                              const TextureFunctionHLSL::TextureFunction &textureFunction,
                              ImmutableString *texCoordX,
                              ImmutableString *texCoordY,
                              ImmutableString *texCoordZ)
  {
      // Convert from normalized floating-point to integer
      out << "int wrapS = samplerMetadata[samplerIndex].wrapModes & 0x3;\n";
      if (textureFunction.offset)
      {
          OutputIntTexCoordWrap(out, "wrapS", "width", *texCoordX, "offset.x", "tix");
      }
      else
      {
          OutputIntTexCoordWrap(out, "wrapS", "width", *texCoordX, "0", "tix");
      }
      *texCoordX = ImmutableString("tix");
      out << "int wrapT = (samplerMetadata[samplerIndex].wrapModes >> 2) & 0x3;\n";
      if (textureFunction.offset)
      {
          OutputIntTexCoordWrap(out, "wrapT", "height", *texCoordY, "offset.y", "tiy");
      }
      else
      {
          OutputIntTexCoordWrap(out, "wrapT", "height", *texCoordY, "0", "tiy");
      }
      *texCoordY = ImmutableString("tiy");
  
      bool tizAvailable = false;
  
      if (IsSamplerArray(textureFunction.sampler))
      {
          *texCoordZ = ImmutableString("int(max(0, min(layers - 1, floor(0.5 + t.z))))");
      }
      else if (!IsSamplerCube(textureFunction.sampler) && !IsSampler2D(textureFunction.sampler))
      {
          out << "int wrapR = (samplerMetadata[samplerIndex].wrapModes >> 4) & 0x3;\n";
          if (textureFunction.offset)
          {
              OutputIntTexCoordWrap(out, "wrapR", "depth", *texCoordZ, "offset.z", "tiz");
          }
          else
          {
              OutputIntTexCoordWrap(out, "wrapR", "depth", *texCoordZ, "0", "tiz");
          }
          *texCoordZ   = ImmutableString("tiz");
          tizAvailable = true;
      }
  
      out << "bool useBorderColor = tixUseBorderColor || tiyUseBorderColor"
          << (tizAvailable ? " || tizUseBorderColor" : "") << ";\n";
  }
  
  void OutputHLSL4SampleFunctionPrefix(TInfoSinkBase &out,
                                       const TextureFunctionHLSL::TextureFunction &textureFunction,
                                       const ImmutableString &textureReference,
                                       const ImmutableString &samplerReference)
  {
      out << textureReference;
      if (IsIntegerSampler(textureFunction.sampler) ||
          textureFunction.method == TextureFunctionHLSL::TextureFunction::FETCH)
      {
          out << ".Load(";
          return;
      }
  
      if (IsShadowSampler(textureFunction.sampler))
      {
          switch (textureFunction.method)
          {
              case TextureFunctionHLSL::TextureFunction::IMPLICIT:
              case TextureFunctionHLSL::TextureFunction::BIAS:
              case TextureFunctionHLSL::TextureFunction::LOD:
                  out << ".SampleCmp(";
                  break;
              case TextureFunctionHLSL::TextureFunction::LOD0:
              case TextureFunctionHLSL::TextureFunction::LOD0BIAS:
              case TextureFunctionHLSL::TextureFunction::GRAD:
                  out << ".SampleCmpLevelZero(";
                  break;
              default:
                  UNREACHABLE();
          }
      }
      else
      {
          switch (textureFunction.method)
          {
              case TextureFunctionHLSL::TextureFunction::IMPLICIT:
                  out << ".Sample(";
                  break;
              case TextureFunctionHLSL::TextureFunction::BIAS:
                  out << ".SampleBias(";
                  break;
              case TextureFunctionHLSL::TextureFunction::LOD:
              case TextureFunctionHLSL::TextureFunction::LOD0:
              case TextureFunctionHLSL::TextureFunction::LOD0BIAS:
                  out << ".SampleLevel(";
                  break;
              case TextureFunctionHLSL::TextureFunction::GRAD:
                  out << ".SampleGrad(";
                  break;
              default:
                  UNREACHABLE();
          }
      }
      out << samplerReference << ", ";
  }
  
  const char *GetSamplerCoordinateTypeString(
      const TextureFunctionHLSL::TextureFunction &textureFunction,
      int hlslCoords)
  {
      // Gather[Red|Green|Blue|Alpha] accepts float texture coordinates on textures in integer or
      // unsigned integer formats.
      // https://docs.microsoft.com/en-us/windows/desktop/direct3dhlsl/dx-graphics-hlsl-to-gather
      if ((IsIntegerSampler(textureFunction.sampler) &&
           textureFunction.method != TextureFunctionHLSL::TextureFunction::GATHER) ||
          textureFunction.method == TextureFunctionHLSL::TextureFunction::FETCH)
      {
          switch (hlslCoords)
          {
              case 2:
                  if (IsSampler2DMS(textureFunction.sampler))
                  {
                      return "int2";
                  }
                  else
                  {
                      return "int3";
                  }
              case 3:
                  if (IsSampler2DMSArray(textureFunction.sampler))
                  {
                      return "int3";
                  }
                  else
                  {
                      return "int4";
                  }
              default:
                  UNREACHABLE();
          }
      }
      else
      {
          switch (hlslCoords)
          {
              case 2:
                  return "float2";
              case 3:
                  return "float3";
              case 4:
                  return "float4";
              default:
                  UNREACHABLE();
          }
      }
      return "";
  }
  
  int GetHLSLCoordCount(const TextureFunctionHLSL::TextureFunction &textureFunction,
                        ShShaderOutput outputType)
  {
      if (outputType == SH_HLSL_3_0_OUTPUT)
      {
          int hlslCoords = 2;
          switch (textureFunction.sampler)
          {
              case EbtSampler2D:
              case EbtSamplerExternalOES:
              case EbtSampler2DMS:
                  hlslCoords = 2;
                  break;
              case EbtSamplerCube:
                  hlslCoords = 3;
                  break;
              default:
                  UNREACHABLE();
          }
  
          switch (textureFunction.method)
          {
              case TextureFunctionHLSL::TextureFunction::IMPLICIT:
              case TextureFunctionHLSL::TextureFunction::GRAD:
                  return hlslCoords;
              case TextureFunctionHLSL::TextureFunction::BIAS:
              case TextureFunctionHLSL::TextureFunction::LOD:
              case TextureFunctionHLSL::TextureFunction::LOD0:
              case TextureFunctionHLSL::TextureFunction::LOD0BIAS:
                  return 4;
              default:
                  UNREACHABLE();
          }
      }
      else
      {
          if (IsSampler3D(textureFunction.sampler) || IsSamplerArray(textureFunction.sampler) ||
              IsSamplerCube(textureFunction.sampler))
          {
              return 3;
          }
          ASSERT(IsSampler2D(textureFunction.sampler));
          return 2;
      }
      return 0;
  }
  
  void OutputTextureFunctionArgumentList(TInfoSinkBase &out,
                                         const TextureFunctionHLSL::TextureFunction &textureFunction,
                                         const ShShaderOutput outputType)
  {
      if (outputType == SH_HLSL_3_0_OUTPUT)
      {
          switch (textureFunction.sampler)
          {
              case EbtSampler2D:
              case EbtSamplerExternalOES:
                  out << "sampler2D s";
                  break;
              case EbtSamplerCube:
                  out << "samplerCUBE s";
                  break;
              default:
                  UNREACHABLE();
          }
      }
      else
      {
          if (outputType == SH_HLSL_4_0_FL9_3_OUTPUT)
          {
              out << TextureString(textureFunction.sampler) << " x, "
                  << SamplerString(textureFunction.sampler) << " s";
          }
          else
          {
              ASSERT(outputType == SH_HLSL_4_1_OUTPUT);
              // A bug in the D3D compiler causes some nested sampling operations to fail.
              // See http://anglebug.com/1923
              // TODO(jmadill): Reinstate the const keyword when possible.
              out << /*"const"*/ "uint samplerIndex";
          }
      }
  
      if (textureFunction.method ==
          TextureFunctionHLSL::TextureFunction::FETCH)  // Integer coordinates
      {
          switch (textureFunction.coords)
          {
              case 2:
                  out << ", int2 t";
                  break;
              case 3:
                  out << ", int3 t";
                  break;
              default:
                  UNREACHABLE();
          }
      }
      else  // Floating-point coordinates (except textureSize)
      {
          switch (textureFunction.coords)
          {
              case 0:
                  break;  // textureSize(gSampler2DMS sampler)
              case 1:
                  out << ", int lod";
                  break;  // textureSize()
              case 2:
                  out << ", float2 t";
                  break;
              case 3:
                  out << ", float3 t";
                  break;
              case 4:
                  out << ", float4 t";
                  break;
              default:
                  UNREACHABLE();
          }
      }
  
      if (textureFunction.method == TextureFunctionHLSL::TextureFunction::GRAD)
      {
          switch (textureFunction.sampler)
          {
              case EbtSampler2D:
              case EbtISampler2D:
              case EbtUSampler2D:
              case EbtSampler2DArray:
              case EbtISampler2DArray:
              case EbtUSampler2DArray:
              case EbtSampler2DShadow:
              case EbtSampler2DArrayShadow:
              case EbtSamplerExternalOES:
                  out << ", float2 ddx, float2 ddy";
                  break;
              case EbtSampler3D:
              case EbtISampler3D:
              case EbtUSampler3D:
              case EbtSamplerCube:
              case EbtISamplerCube:
              case EbtUSamplerCube:
              case EbtSamplerCubeShadow:
                  out << ", float3 ddx, float3 ddy";
                  break;
              default:
                  UNREACHABLE();
          }
      }
  
      switch (textureFunction.method)
      {
          case TextureFunctionHLSL::TextureFunction::IMPLICIT:
              break;
          case TextureFunctionHLSL::TextureFunction::BIAS:
              break;  // Comes after the offset parameter
          case TextureFunctionHLSL::TextureFunction::LOD:
              out << ", float lod";
              break;
          case TextureFunctionHLSL::TextureFunction::LOD0:
              break;
          case TextureFunctionHLSL::TextureFunction::LOD0BIAS:
              break;  // Comes after the offset parameter
          case TextureFunctionHLSL::TextureFunction::SIZE:
              break;
          case TextureFunctionHLSL::TextureFunction::FETCH:
              if (IsSampler2DMS(textureFunction.sampler) ||
                  IsSampler2DMSArray(textureFunction.sampler))
                  out << ", int index";
              else
                  out << ", int mip";
              break;
          case TextureFunctionHLSL::TextureFunction::GRAD:
              break;
          case TextureFunctionHLSL::TextureFunction::GATHER:
              break;
          default:
              UNREACHABLE();
      }
  
      if (textureFunction.method == TextureFunctionHLSL::TextureFunction::GATHER &&
          IsShadowSampler(textureFunction.sampler))
      {
          out << ", float refZ";
      }
  
      if (textureFunction.offset)
      {
          switch (textureFunction.sampler)
          {
              case EbtSampler3D:
              case EbtISampler3D:
              case EbtUSampler3D:
                  out << ", int3 offset";
                  break;
              case EbtSampler2D:
              case EbtSampler2DArray:
              case EbtISampler2D:
              case EbtISampler2DArray:
              case EbtUSampler2D:
              case EbtUSampler2DArray:
              case EbtSampler2DShadow:
              case EbtSampler2DArrayShadow:
              case EbtSamplerExternalOES:
                  out << ", int2 offset";
                  break;
              default:
                  // Offset is not supported for multisampled textures.
                  UNREACHABLE();
          }
      }
  
      if (textureFunction.method == TextureFunctionHLSL::TextureFunction::BIAS ||
          textureFunction.method == TextureFunctionHLSL::TextureFunction::LOD0BIAS)
      {
          out << ", float bias";
      }
      else if (textureFunction.method == TextureFunctionHLSL::TextureFunction::GATHER &&
               !IsShadowSampler(textureFunction.sampler))
      {
          out << ", int comp = 0";
      }
  }
  
  void GetTextureReference(TInfoSinkBase &out,
                           const TextureFunctionHLSL::TextureFunction &textureFunction,
                           const ShShaderOutput outputType,
                           ImmutableString *textureReference,
                           ImmutableString *samplerReference)
  {
      if (outputType == SH_HLSL_4_1_OUTPUT)
      {
          static const ImmutableString kTexturesStr("textures");
          static const ImmutableString kSamplersStr("samplers");
          static const ImmutableString kSamplerIndexStr("[samplerIndex]");
          static const ImmutableString kTextureIndexStr("[textureIndex]");
          static const ImmutableString kSamplerArrayIndexStr("[samplerArrayIndex]");
          ImmutableString suffix(TextureGroupSuffix(textureFunction.sampler));
  
          if (TextureGroup(textureFunction.sampler) == HLSL_TEXTURE_2D)
          {
              ImmutableStringBuilder textureRefBuilder(kTexturesStr.length() + suffix.length() +
                                                       kSamplerIndexStr.length());
              textureRefBuilder << kTexturesStr << suffix << kSamplerIndexStr;
              *textureReference = textureRefBuilder;
              ImmutableStringBuilder samplerRefBuilder(kSamplersStr.length() + suffix.length() +
                                                       kSamplerIndexStr.length());
              samplerRefBuilder << kSamplersStr << suffix << kSamplerIndexStr;
              *samplerReference = samplerRefBuilder;
          }
          else
          {
              out << "    const uint textureIndex = samplerIndex - textureIndexOffset"
                  << suffix.data() << ";\n";
              ImmutableStringBuilder textureRefBuilder(kTexturesStr.length() + suffix.length() +
                                                       kTextureIndexStr.length());
              textureRefBuilder << kTexturesStr << suffix << kTextureIndexStr;
              *textureReference = textureRefBuilder;
  
              out << "    const uint samplerArrayIndex = samplerIndex - samplerIndexOffset"
                  << suffix.data() << ";\n";
              ImmutableStringBuilder samplerRefBuilder(kSamplersStr.length() + suffix.length() +
                                                       kSamplerArrayIndexStr.length());
              samplerRefBuilder << kSamplersStr << suffix << kSamplerArrayIndexStr;
              *samplerReference = samplerRefBuilder;
          }
      }
      else
      {
          *textureReference = ImmutableString("x");
          *samplerReference = ImmutableString("s");
      }
  }
  
  void OutputTextureSizeFunctionBody(TInfoSinkBase &out,
                                     const TextureFunctionHLSL::TextureFunction &textureFunction,
                                     const ImmutableString &textureReference,
                                     bool getDimensionsIgnoresBaseLevel)
  {
      if (IsSampler2DMS(textureFunction.sampler))
      {
          out << "    uint width; uint height; uint samples;\n"
              << "    " << textureReference << ".GetDimensions(width, height, samples);\n";
      }
      else if (IsSampler2DMSArray(textureFunction.sampler))
      {
          out << "    uint width; uint height; uint depth; uint samples;\n"
              << "    " << textureReference << ".GetDimensions(width, height, depth, samples);\n";
      }
      else
      {
          if (getDimensionsIgnoresBaseLevel)
          {
              out << "    int baseLevel = samplerMetadata[samplerIndex].baseLevel;\n";
          }
          else
          {
              out << "    int baseLevel = 0;\n";
          }
  
          if (IsSampler3D(textureFunction.sampler) || IsSamplerArray(textureFunction.sampler) ||
              (IsIntegerSampler(textureFunction.sampler) && IsSamplerCube(textureFunction.sampler)))
          {
              // "depth" stores either the number of layers in an array texture or 3D depth
              out << "    uint width; uint height; uint depth; uint numberOfLevels;\n"
                  << "    " << textureReference
                  << ".GetDimensions(baseLevel, width, height, depth, numberOfLevels);\n"
                  << "    width = max(width >> lod, 1);\n"
                  << "    height = max(height >> lod, 1);\n";
  
              if (!IsSamplerArray(textureFunction.sampler))
              {
                  out << "    depth = max(depth >> lod, 1);\n";
              }
          }
          else if (IsSampler2D(textureFunction.sampler) || IsSamplerCube(textureFunction.sampler))
          {
              out << "    uint width; uint height; uint numberOfLevels;\n"
                  << "    " << textureReference
                  << ".GetDimensions(baseLevel, width, height, numberOfLevels);\n"
                  << "    width = max(width >> lod, 1);\n"
                  << "    height = max(height >> lod, 1);\n";
          }
          else
              UNREACHABLE();
      }
  
      if (strcmp(textureFunction.getReturnType(), "int3") == 0)
      {
          out << "    return int3(width, height, depth);\n";
      }
      else
      {
          out << "    return int2(width, height);\n";
      }
  }
  
  void ProjectTextureCoordinates(const TextureFunctionHLSL::TextureFunction &textureFunction,
                                 ImmutableString *texCoordX,
                                 ImmutableString *texCoordY,
                                 ImmutableString *texCoordZ)
  {
      if (textureFunction.proj)
      {
          ImmutableString proj("");
          switch (textureFunction.coords)
          {
              case 3:
                  proj = ImmutableString(" / t.z");
                  break;
              case 4:
                  proj = ImmutableString(" / t.w");
                  break;
              default:
                  UNREACHABLE();
          }
          ImmutableStringBuilder texCoordXBuilder(texCoordX->length() + proj.length() + 2u);
          texCoordXBuilder << '(' << *texCoordX << proj << ')';
          *texCoordX = texCoordXBuilder;
          ImmutableStringBuilder texCoordYBuilder(texCoordY->length() + proj.length() + 2u);
          texCoordYBuilder << '(' << *texCoordY << proj << ')';
          *texCoordY = texCoordYBuilder;
          ImmutableStringBuilder texCoordZBuilder(texCoordZ->length() + proj.length() + 2u);
          texCoordZBuilder << '(' << *texCoordZ << proj << ')';
          *texCoordZ = texCoordZBuilder;
      }
  }
  
  void OutputIntegerTextureSampleFunctionComputations(
      TInfoSinkBase &out,
      const TextureFunctionHLSL::TextureFunction &textureFunction,
      const ShShaderOutput outputType,
      const ImmutableString &textureReference,
      ImmutableString *texCoordX,
      ImmutableString *texCoordY,
      ImmutableString *texCoordZ,
      bool getDimensionsIgnoresBaseLevel)
  {
      if (!IsIntegerSampler(textureFunction.sampler))
      {
          return;
      }
  
      if (getDimensionsIgnoresBaseLevel)
      {
          out << "    int baseLevel = samplerMetadata[samplerIndex].baseLevel;\n";
      }
      else
      {
          out << "    int baseLevel = 0;\n";
      }
  
      if (IsSamplerCube(textureFunction.sampler))
      {
          out << "    float width; float height; float layers; float levels;\n";
  
          out << "    uint mip = 0;\n";
  
          out << "    " << textureReference
              << ".GetDimensions(baseLevel + mip, width, height, layers, levels);\n";
  
          out << "    bool xMajor = abs(t.x) >= abs(t.y) && abs(t.x) >= abs(t.z);\n";
          out << "    bool yMajor = abs(t.y) >= abs(t.z) && abs(t.y) > abs(t.x);\n";
          out << "    bool zMajor = abs(t.z) > abs(t.x) && abs(t.z) > abs(t.y);\n";
          out << "    bool negative = (xMajor && t.x < 0.0f) || (yMajor && t.y < 0.0f) || "
                 "(zMajor && t.z < 0.0f);\n";
  
          // FACE_POSITIVE_X = 000b
          // FACE_NEGATIVE_X = 001b
          // FACE_POSITIVE_Y = 010b
          // FACE_NEGATIVE_Y = 011b
          // FACE_POSITIVE_Z = 100b
          // FACE_NEGATIVE_Z = 101b
          out << "    int face = (int)negative + (int)yMajor * 2 + (int)zMajor * 4;\n";
  
          out << "    float u = xMajor ? -t.z : (yMajor && t.y < 0.0f ? -t.x : t.x);\n";
          out << "    float v = yMajor ? t.z : (negative ? t.y : -t.y);\n";
          out << "    float m = xMajor ? t.x : (yMajor ? t.y : t.z);\n";
  
          out << "    float3 r = any(t) ? t : float3(1, 0, 0);\n";
          out << "    t.x = (u * 0.5f / m) + 0.5f;\n";
          out << "    t.y = (v * 0.5f / m) + 0.5f;\n";
  
          // Mip level computation.
          if (textureFunction.method == TextureFunctionHLSL::TextureFunction::IMPLICIT ||
              textureFunction.method == TextureFunctionHLSL::TextureFunction::LOD ||
              textureFunction.method == TextureFunctionHLSL::TextureFunction::GRAD)
          {
              if (textureFunction.method == TextureFunctionHLSL::TextureFunction::IMPLICIT)
              {
                  // We would like to calculate tha maximum of how many texels we move in the major
                  // face's texture as we move across the screen in any direction. Namely, we want the
                  // length of the directional derivative of the function p (defined below), maximized
                  // over screen space directions. (For short: we want the norm of Dp.) For
                  // simplicity, assume that z-axis is the major axis. By symmetry, we can assume that
                  // the positive z direction is major. (The calculated value will be the same even if
                  // this is false.) Let r denote the function from screen position to cube texture
                  // coordinates. Then p can be written as p = s . P . r, where P(r) = (r.x, r.y)/r.z
                  // is the projection onto the major cube face, and s = diag(width, height)/2. (s
                  // linearly maps from the cube face into texture space, so that p(r) is in units of
                  // texels.) The derivative is
                  // Dp(r) = s |1 0 -r.x/r.z|
                  //           |0 1 -r.y/r.z| |ddx(r) ddy(r)| / r.z
                  //       = |dot(a, ddx(r)) dot(a, ddy(r))|
                  //         |dot(b, ddx(r)) dot(b, ddy(r))| / (2 r.z)
                  // where a = w * vec3(1, 0, -r.x/r.z)
                  //       b = h * vec3(0, 1, -r.y/r.z)
                  // We would like to know max(L(x)) over unit vectors x, where L(x) = |Dp(r) x|^2.
                  // Since ddx(r) and ddy(r) are unknown, the best we can do is to sample L in some
                  // directions and take the maximum across the samples.
                  //
                  // Some implementations use max(L(n1), L(n2)) where n1 = vec2(1,0) and n2 =
                  // vec2(0,1).
                  //
                  // Some implementations use max(L(n1), L(n2), L(n3), L(n4)),
                  // where n3 = (n1 + n2) / |n1 + n2| = (n1 + n2)/sqrt(2)
                  //       n4 = (n1 - n2) / |n1 - n2| = (n1 - n2)/sqrt(2).
                  // In other words, two samples along the diagonal screen space directions have been
                  // added, giving a strictly better estimate of the true maximum.
                  //
                  // It turns out we can get twice the sample count very cheaply.
                  // We can use the linearity of Dp(r) to get these extra samples of L cheaply in
                  // terms of the already taken samples, L(n1) and L(n2):
                  // Denoting
                  // dpx = Dp(r)n1
                  // dpy = Dp(r)n2
                  // dpxx = dot(dpx, dpx)
                  // dpyy = dot(dpy, dpy)
                  // dpxy = dot(dpx, dpy)
                  // we obtain
                  // L(n3) = |Dp(r)n1 + Dp(r)n2|^2/2 = (dpxx + dpyy)/2 + dpxy
                  // L(n4) = |Dp(r)n1 - Dp(r)n2|^2/2 = (dpxx + dpyy)/2 - dpxy
                  // max(L(n1), L(n2), L(n3), L(n4))
                  // = max(max(L(n1), L(n2)), max(L(n3), L(n4)))
                  // = max(max(dpxx, dpyy), (dpxx + dpyy)/2 + abs(dpxy))
                  // So the extra cost is: one dot, one abs, one add, one multiply-add and one max.
                  // (All scalar.)
                  //
                  // In section 3.8.10.1, the OpenGL ES 3 specification defines the "scale factor",
                  // rho. In our terminology, this definition works out to taking sqrt(max(L(n1),
                  // L(n2))). Some implementations will use this estimate, here we use the strictly
                  // better sqrt(max(L(n1), L(n2), L(n3), L(n4))), since it's not much more expensive
                  // to calculate.
  
                  // Swap coordinates such that we can assume that the positive z-axis is major, in
                  // what follows.
                  out << "    float3 ddxr = xMajor ? ddx(r).yzx : yMajor ? ddx(r).zxy : ddx(r).xyz;\n"
                         "    float3 ddyr = xMajor ? ddy(r).yzx : yMajor ? ddy(r).zxy : ddy(r).xyz;\n"
                         "    r = xMajor ? r.yzx : yMajor ? r.zxy : r.xyz;\n";
  
                  out << "    float2 s = 0.5*float2(width, height);\n"
                         "    float2 dpx = s * (ddxr.xy - ddxr.z*r.xy/r.z)/r.z;\n"
                         "    float2 dpy = s * (ddyr.xy - ddyr.z*r.xy/r.z)/r.z;\n"
                         "    float dpxx = dot(dpx, dpx);\n;"
                         "    float dpyy = dot(dpy, dpy);\n;"
                         "    float dpxy = dot(dpx, dpy);\n"
                         "    float ma = max(dpxx, dpyy);\n"
                         "    float mb = 0.5 * (dpxx + dpyy) + abs(dpxy);\n"
                         "    float mab = max(ma, mb);\n"
                         "    float lod = 0.5f * log2(mab);\n";
              }
              else if (textureFunction.method == TextureFunctionHLSL::TextureFunction::GRAD)
              {
                  // ESSL 3.00.6 spec section 8.8: "For the cube version, the partial
                  // derivatives of P are assumed to be in the coordinate system used before
                  // texture coordinates are projected onto the appropriate cube face."
                  // ddx[0] and ddy[0] are the derivatives of t.x passed into the function
                  // ddx[1] and ddy[1] are the derivatives of t.y passed into the function
                  // ddx[2] and ddy[2] are the derivatives of t.z passed into the function
                  // Determine the derivatives of u, v and m
                  out << "    float dudx = xMajor ? ddx[2] : (yMajor && t.y < 0.0f ? -ddx[0] "
                         ": ddx[0]);\n"
                         "    float dudy = xMajor ? ddy[2] : (yMajor && t.y < 0.0f ? -ddy[0] "
                         ": ddy[0]);\n"
                         "    float dvdx = yMajor ? ddx[2] : (negative ? ddx[1] : -ddx[1]);\n"
                         "    float dvdy = yMajor ? ddy[2] : (negative ? ddy[1] : -ddy[1]);\n"
                         "    float dmdx = xMajor ? ddx[0] : (yMajor ? ddx[1] : ddx[2]);\n"
                         "    float dmdy = xMajor ? ddy[0] : (yMajor ? ddy[1] : ddy[2]);\n";
                  // Now determine the derivatives of the face coordinates, using the
                  // derivatives calculated above.
                  // d / dx (u(x) * 0.5 / m(x) + 0.5)
                  // = 0.5 * (m(x) * u'(x) - u(x) * m'(x)) / m(x)^2
                  out << "    float dfacexdx = 0.5f * (m * dudx - u * dmdx) / (m * m);\n"
                         "    float dfaceydx = 0.5f * (m * dvdx - v * dmdx) / (m * m);\n"
                         "    float dfacexdy = 0.5f * (m * dudy - u * dmdy) / (m * m);\n"
                         "    float dfaceydy = 0.5f * (m * dvdy - v * dmdy) / (m * m);\n"
                         "    float2 sizeVec = float2(width, height);\n"
                         "    float2 faceddx = float2(dfacexdx, dfaceydx) * sizeVec;\n"
                         "    float2 faceddy = float2(dfacexdy, dfaceydy) * sizeVec;\n";
                  // Optimization: instead of: log2(max(length(faceddx), length(faceddy)))
                  // we compute: log2(max(length(faceddx)^2, length(faceddy)^2)) / 2
                  out << "    float lengthfaceddx2 = dot(faceddx, faceddx);\n"
                         "    float lengthfaceddy2 = dot(faceddy, faceddy);\n"
                         "    float lod = log2(max(lengthfaceddx2, lengthfaceddy2)) * 0.5f;\n";
              }
              out << "    mip = uint(min(max(round(lod), 0), levels - 1));\n"
                  << "    " << textureReference
                  << ".GetDimensions(baseLevel + mip, width, height, layers, levels);\n";
          }
  
          // Convert from normalized floating-point to integer
          static const ImmutableString kXPrefix("int(floor(width * frac(");
          static const ImmutableString kYPrefix("int(floor(height * frac(");
          static const ImmutableString kSuffix(")))");
          ImmutableStringBuilder texCoordXBuilder(kXPrefix.length() + texCoordX->length() +
                                                  kSuffix.length());
          texCoordXBuilder << kXPrefix << *texCoordX << kSuffix;
          *texCoordX = texCoordXBuilder;
          ImmutableStringBuilder texCoordYBuilder(kYPrefix.length() + texCoordX->length() +
                                                  kSuffix.length());
          texCoordYBuilder << kYPrefix << *texCoordY << kSuffix;
          *texCoordY = texCoordYBuilder;
          *texCoordZ = ImmutableString("face");
      }
      else if (textureFunction.method != TextureFunctionHLSL::TextureFunction::FETCH)
      {
          if (IsSamplerArray(textureFunction.sampler))
          {
              out << "    float width; float height; float layers; float levels;\n";
              if (textureFunction.method == TextureFunctionHLSL::TextureFunction::LOD0)
              {
                  out << "    uint mip = 0;\n";
              }
              else if (textureFunction.method == TextureFunctionHLSL::TextureFunction::LOD0BIAS)
              {
                  out << "    uint mip = bias;\n";
              }
              else
              {
  
                  out << "    " << textureReference
                      << ".GetDimensions(baseLevel, width, height, layers, levels);\n";
                  if (textureFunction.method == TextureFunctionHLSL::TextureFunction::IMPLICIT ||
                      textureFunction.method == TextureFunctionHLSL::TextureFunction::BIAS)
                  {
                      out << "    float2 tSized = float2(t.x * width, t.y * height);\n"
                             "    float dx = length(ddx(tSized));\n"
                             "    float dy = length(ddy(tSized));\n"
                             "    float lod = log2(max(dx, dy));\n";
  
                      if (textureFunction.method == TextureFunctionHLSL::TextureFunction::BIAS)
                      {
                          out << "    lod += bias;\n";
                      }
                  }
                  else if (textureFunction.method == TextureFunctionHLSL::TextureFunction::GRAD)
                  {
                      out << "    float2 sizeVec = float2(width, height);\n"
                             "    float2 sizeDdx = ddx * sizeVec;\n"
                             "    float2 sizeDdy = ddy * sizeVec;\n"
                             "    float lod = log2(max(dot(sizeDdx, sizeDdx), "
                             "dot(sizeDdy, sizeDdy))) * 0.5f;\n";
                  }
  
                  out << "    uint mip = uint(min(max(round(lod), 0), levels - 1));\n";
              }
  
              out << "    " << textureReference
                  << ".GetDimensions(baseLevel + mip, width, height, layers, levels);\n";
          }
          else if (IsSampler2D(textureFunction.sampler))
          {
              out << "    float width; float height; float levels;\n";
  
              if (textureFunction.method == TextureFunctionHLSL::TextureFunction::LOD0)
              {
                  out << "    uint mip = 0;\n";
              }
              else if (textureFunction.method == TextureFunctionHLSL::TextureFunction::LOD0BIAS)
              {
                  out << "    uint mip = bias;\n";
              }
              else
              {
                  out << "    " << textureReference
                      << ".GetDimensions(baseLevel, width, height, levels);\n";
  
                  if (textureFunction.method == TextureFunctionHLSL::TextureFunction::IMPLICIT ||
                      textureFunction.method == TextureFunctionHLSL::TextureFunction::BIAS)
                  {
                      out << "    float2 tSized = float2(t.x * width, t.y * height);\n"
                             "    float dx = length(ddx(tSized));\n"
                             "    float dy = length(ddy(tSized));\n"
                             "    float lod = log2(max(dx, dy));\n";
  
                      if (textureFunction.method == TextureFunctionHLSL::TextureFunction::BIAS)
                      {
                          out << "    lod += bias;\n";
                      }
                  }
                  else if (textureFunction.method == TextureFunctionHLSL::TextureFunction::GRAD)
                  {
                      out << "    float2 sizeVec = float2(width, height);\n"
                             "    float2 sizeDdx = ddx * sizeVec;\n"
                             "    float2 sizeDdy = ddy * sizeVec;\n"
                             "    float lod = log2(max(dot(sizeDdx, sizeDdx), "
                             "dot(sizeDdy, sizeDdy))) * 0.5f;\n";
                  }
  
                  out << "    uint mip = uint(min(max(round(lod), 0), levels - 1));\n";
              }
  
              out << "    " << textureReference
                  << ".GetDimensions(baseLevel + mip, width, height, levels);\n";
          }
          else if (IsSampler3D(textureFunction.sampler))
          {
              out << "    float width; float height; float depth; float levels;\n";
  
              if (textureFunction.method == TextureFunctionHLSL::TextureFunction::LOD0)
              {
                  out << "    uint mip = 0;\n";
              }
              else if (textureFunction.method == TextureFunctionHLSL::TextureFunction::LOD0BIAS)
              {
                  out << "    uint mip = bias;\n";
              }
              else
              {
                  out << "    " << textureReference
                      << ".GetDimensions(baseLevel, width, height, depth, levels);\n";
  
                  if (textureFunction.method == TextureFunctionHLSL::TextureFunction::IMPLICIT ||
                      textureFunction.method == TextureFunctionHLSL::TextureFunction::BIAS)
                  {
                      out << "    float3 tSized = float3(t.x * width, t.y * height, t.z * depth);\n"
                             "    float dx = length(ddx(tSized));\n"
                             "    float dy = length(ddy(tSized));\n"
                             "    float lod = log2(max(dx, dy));\n";
  
                      if (textureFunction.method == TextureFunctionHLSL::TextureFunction::BIAS)
                      {
                          out << "    lod += bias;\n";
                      }
                  }
                  else if (textureFunction.method == TextureFunctionHLSL::TextureFunction::GRAD)
                  {
                      out << "    float3 sizeVec = float3(width, height, depth);\n"
                             "    float3 sizeDdx = ddx * sizeVec;\n"
                             "    float3 sizeDdy = ddy * sizeVec;\n"
                             "    float lod = log2(max(dot(sizeDdx, sizeDdx), dot(sizeDdy, "
                             "sizeDdy))) * 0.5f;\n";
                  }
  
                  out << "    uint mip = uint(min(max(round(lod), 0), levels - 1));\n";
              }
  
              out << "    " << textureReference
                  << ".GetDimensions(baseLevel + mip, width, height, depth, levels);\n";
          }
          else
              UNREACHABLE();
  
          OutputIntTexCoordWraps(out, textureFunction, texCoordX, texCoordY, texCoordZ);
      }
  }
  
  void OutputTextureGatherFunctionBody(TInfoSinkBase &out,
                                       const TextureFunctionHLSL::TextureFunction &textureFunction,
                                       ShShaderOutput outputType,
                                       const ImmutableString &textureReference,
                                       const ImmutableString &samplerReference,
                                       const ImmutableString &texCoordX,
                                       const ImmutableString &texCoordY,
                                       const ImmutableString &texCoordZ)
  {
      const int hlslCoords = GetHLSLCoordCount(textureFunction, outputType);
      ImmutableString samplerCoordTypeString(
          GetSamplerCoordinateTypeString(textureFunction, hlslCoords));
      ImmutableStringBuilder samplerCoordBuilder(
          samplerCoordTypeString.length() + strlen("(") + texCoordX.length() + strlen(", ") +
          texCoordY.length() + strlen(", ") + texCoordZ.length() + strlen(")"));
  
      samplerCoordBuilder << samplerCoordTypeString << "(" << texCoordX << ", " << texCoordY;
      if (hlslCoords >= 3)
      {
          if (textureFunction.coords < 3)
          {
              samplerCoordBuilder << ", 0";
          }
          else
          {
              samplerCoordBuilder << ", " << texCoordZ;
          }
      }
      samplerCoordBuilder << ")";
  
      ImmutableString samplerCoordString(samplerCoordBuilder);
  
      if (IsShadowSampler(textureFunction.sampler))
      {
          out << "return " << textureReference << ".GatherCmp(" << samplerReference << ", "
              << samplerCoordString << ", refZ";
          if (textureFunction.offset)
          {
              out << ", offset";
          }
          out << ");\n";
          return;
      }
  
      constexpr std::array<const char *, 4> kHLSLGatherFunctions = {
          {"GatherRed", "GatherGreen", "GatherBlue", "GatherAlpha"}};
  
      out << "    switch(comp)\n"
             "    {\n";
      for (size_t component = 0; component < kHLSLGatherFunctions.size(); ++component)
      {
          out << "        case " << component << ":\n"
              << "            return " << textureReference << "." << kHLSLGatherFunctions[component]
              << "(" << samplerReference << ", " << samplerCoordString;
          if (textureFunction.offset)
          {
              out << ", offset";
          }
          out << ");\n";
      }
  
      out << "        default:\n"
             "            return float4(0.0, 0.0, 0.0, 1.0);\n"
             "    }\n";
  }
  
  void OutputTextureSampleFunctionReturnStatement(
      TInfoSinkBase &out,
      const TextureFunctionHLSL::TextureFunction &textureFunction,
      const ShShaderOutput outputType,
      const ImmutableString &textureReference,
      const ImmutableString &samplerReference,
      const ImmutableString &texCoordX,
      const ImmutableString &texCoordY,
      const ImmutableString &texCoordZ)
  {
      out << "    return ";
  
      if (IsIntegerSampler(textureFunction.sampler) && !IsSamplerCube(textureFunction.sampler) &&
          textureFunction.method != TextureFunctionHLSL::TextureFunction::FETCH)
      {
          out << " useBorderColor ? ";
          if (IsIntegerSamplerUnsigned(textureFunction.sampler))
          {
              out << "asuint";
          }
          out << "(samplerMetadata[samplerIndex].intBorderColor) : ";
      }
  
      // HLSL intrinsic
      if (outputType == SH_HLSL_3_0_OUTPUT)
      {
          switch (textureFunction.sampler)
          {
              case EbtSampler2D:
              case EbtSamplerExternalOES:
                  out << "tex2D";
                  break;
              case EbtSamplerCube:
                  out << "texCUBE";
                  break;
              default:
                  UNREACHABLE();
          }
  
          switch (textureFunction.method)
          {
              case TextureFunctionHLSL::TextureFunction::IMPLICIT:
                  out << "(" << samplerReference << ", ";
                  break;
              case TextureFunctionHLSL::TextureFunction::BIAS:
                  out << "bias(" << samplerReference << ", ";
                  break;
              case TextureFunctionHLSL::TextureFunction::LOD:
                  out << "lod(" << samplerReference << ", ";
                  break;
              case TextureFunctionHLSL::TextureFunction::LOD0:
                  out << "lod(" << samplerReference << ", ";
                  break;
              case TextureFunctionHLSL::TextureFunction::LOD0BIAS:
                  out << "lod(" << samplerReference << ", ";
                  break;
              case TextureFunctionHLSL::TextureFunction::GRAD:
                  out << "grad(" << samplerReference << ", ";
                  break;
              default:
                  UNREACHABLE();
          }
      }
      else if (outputType == SH_HLSL_4_1_OUTPUT || outputType == SH_HLSL_4_0_FL9_3_OUTPUT)
      {
          OutputHLSL4SampleFunctionPrefix(out, textureFunction, textureReference, samplerReference);
      }
      else
          UNREACHABLE();
  
      const int hlslCoords = GetHLSLCoordCount(textureFunction, outputType);
  
      out << GetSamplerCoordinateTypeString(textureFunction, hlslCoords) << "(" << texCoordX << ", "
          << texCoordY;
  
      if (outputType == SH_HLSL_3_0_OUTPUT)
      {
          if (hlslCoords >= 3)
          {
              if (textureFunction.coords < 3)
              {
                  out << ", 0";
              }
              else
              {
                  out << ", " << texCoordZ;
              }
          }
  
          if (hlslCoords == 4)
          {
              switch (textureFunction.method)
              {
                  case TextureFunctionHLSL::TextureFunction::BIAS:
                      out << ", bias";
                      break;
                  case TextureFunctionHLSL::TextureFunction::LOD:
                      out << ", lod";
                      break;
                  case TextureFunctionHLSL::TextureFunction::LOD0:
                      out << ", 0";
                      break;
                  case TextureFunctionHLSL::TextureFunction::LOD0BIAS:
                      out << ", bias";
                      break;
                  default:
                      UNREACHABLE();
              }
          }
  
          out << ")";
      }
      else if (outputType == SH_HLSL_4_1_OUTPUT || outputType == SH_HLSL_4_0_FL9_3_OUTPUT)
      {
          if (hlslCoords >= 3)
          {
              ASSERT(!IsIntegerSampler(textureFunction.sampler) ||
                     !IsSamplerCube(textureFunction.sampler) || texCoordZ == "face");
              out << ", " << texCoordZ;
          }
  
          if (textureFunction.method == TextureFunctionHLSL::TextureFunction::GRAD)
          {
              if (IsIntegerSampler(textureFunction.sampler))
              {
                  out << ", mip)";
              }
              else if (IsShadowSampler(textureFunction.sampler))
              {
                  // Compare value
                  if (textureFunction.proj)
                  {
                      // According to ESSL 3.00.4 sec 8.8 p95 on textureProj:
                      // The resulting third component of P' in the shadow forms is used as
                      // Dref
                      out << "), " << texCoordZ;
                  }
                  else
                  {
                      switch (textureFunction.coords)
                      {
                          case 3:
                              out << "), t.z";
                              break;
                          case 4:
                              out << "), t.w";
                              break;
                          default:
                              UNREACHABLE();
                      }
                  }
              }
              else
              {
                  out << "), ddx, ddy";
              }
          }
          else if (IsIntegerSampler(textureFunction.sampler) ||
                   textureFunction.method == TextureFunctionHLSL::TextureFunction::FETCH)
          {
              if (IsSampler2DMS(textureFunction.sampler) ||
                  IsSampler2DMSArray(textureFunction.sampler))
                  out << "), index";
              else
                  out << ", mip)";
          }
          else if (IsShadowSampler(textureFunction.sampler))
          {
              // Compare value
              if (textureFunction.proj)
              {
                  // According to ESSL 3.00.4 sec 8.8 p95 on textureProj:
                  // The resulting third component of P' in the shadow forms is used as Dref
                  out << "), " << texCoordZ;
              }
              else
              {
                  switch (textureFunction.coords)
                  {
                      case 3:
                          out << "), t.z";
                          break;
                      case 4:
                          out << "), t.w";
                          break;
                      default:
                          UNREACHABLE();
                  }
              }
          }
          else
          {
              switch (textureFunction.method)
              {
                  case TextureFunctionHLSL::TextureFunction::IMPLICIT:
                      out << ")";
                      break;
                  case TextureFunctionHLSL::TextureFunction::BIAS:
                      out << "), bias";
                      break;
                  case TextureFunctionHLSL::TextureFunction::LOD:
                      out << "), lod";
                      break;
                  case TextureFunctionHLSL::TextureFunction::LOD0:
                      out << "), 0";
                      break;
                  case TextureFunctionHLSL::TextureFunction::LOD0BIAS:
                      out << "), bias";
                      break;
                  default:
                      UNREACHABLE();
              }
          }
  
          if (textureFunction.offset &&
              (!IsIntegerSampler(textureFunction.sampler) ||
               textureFunction.method == TextureFunctionHLSL::TextureFunction::FETCH))
          {
              out << ", offset";
          }
      }
      else
          UNREACHABLE();
  
      out << ");\n";  // Close the sample function call and return statement
  }
  
  }  // Anonymous namespace
  
  ImmutableString TextureFunctionHLSL::TextureFunction::name() const
  {
      static const ImmutableString kGlTextureName("gl_texture");
  
      ImmutableString suffix(TextureTypeSuffix(this->sampler));
  
      ImmutableStringBuilder name(kGlTextureName.length() + suffix.length() + 4u + 6u + 5u);
  
      name << kGlTextureName;
  
      // We need to include full the sampler type in the function name to make the signature unique
      // on D3D11, where samplers are passed to texture functions as indices.
      name << suffix;
  
      if (proj)
      {
          name << "Proj";
      }
  
      if (offset)
      {
          name << "Offset";
      }
  
      switch (method)
      {
          case IMPLICIT:
              break;
          case BIAS:
              break;  // Extra parameter makes the signature unique
          case LOD:
              name << "Lod";
              break;
          case LOD0:
              name << "Lod0";
              break;
          case LOD0BIAS:
              name << "Lod0";
              break;  // Extra parameter makes the signature unique
          case SIZE:
              name << "Size";
              break;
          case FETCH:
              name << "Fetch";
              break;
          case GRAD:
              name << "Grad";
              break;
          case GATHER:
              name << "Gather";
              break;
          default:
              UNREACHABLE();
      }
  
      return name;
  }
  
  const char *TextureFunctionHLSL::TextureFunction::getReturnType() const
  {
      if (method == TextureFunction::SIZE)
      {
          switch (sampler)
          {
              case EbtSampler2D:
              case EbtISampler2D:
              case EbtUSampler2D:
              case EbtSampler2DShadow:
              case EbtSamplerCube:
              case EbtISamplerCube:
              case EbtUSamplerCube:
              case EbtSamplerCubeShadow:
              case EbtSamplerExternalOES:
              case EbtSampler2DMS:
              case EbtISampler2DMS:
              case EbtUSampler2DMS:
                  return "int2";
              case EbtSampler3D:
              case EbtISampler3D:
              case EbtUSampler3D:
              case EbtSampler2DArray:
              case EbtISampler2DArray:
              case EbtUSampler2DArray:
              case EbtSampler2DMSArray:
              case EbtISampler2DMSArray:
              case EbtUSampler2DMSArray:
              case EbtSampler2DArrayShadow:
                  return "int3";
              default:
                  UNREACHABLE();
          }
      }
      else  // Sampling function
      {
          switch (sampler)
          {
              case EbtSampler2D:
              case EbtSampler2DMS:
              case EbtSampler2DMSArray:
              case EbtSampler3D:
              case EbtSamplerCube:
              case EbtSampler2DArray:
              case EbtSamplerExternalOES:
                  return "float4";
              case EbtISampler2D:
              case EbtISampler2DMS:
              case EbtISampler2DMSArray:
              case EbtISampler3D:
              case EbtISamplerCube:
              case EbtISampler2DArray:
                  return "int4";
              case EbtUSampler2D:
              case EbtUSampler2DMS:
              case EbtUSampler2DMSArray:
              case EbtUSampler3D:
              case EbtUSamplerCube:
              case EbtUSampler2DArray:
                  return "uint4";
              case EbtSampler2DShadow:
              case EbtSamplerCubeShadow:
              case EbtSampler2DArrayShadow:
                  if (method == TextureFunctionHLSL::TextureFunction::GATHER)
                  {
                      return "float4";
                  }
                  else
                  {
                      return "float";
                  }
              default:
                  UNREACHABLE();
          }
      }
      return "";
  }
  
  bool TextureFunctionHLSL::TextureFunction::operator<(const TextureFunction &rhs) const
  {
      return std::tie(sampler, coords, proj, offset, method) <
             std::tie(rhs.sampler, rhs.coords, rhs.proj, rhs.offset, rhs.method);
  }
  
  ImmutableString TextureFunctionHLSL::useTextureFunction(const ImmutableString &name,
                                                          TBasicType samplerType,
                                                          int coords,
                                                          size_t argumentCount,
                                                          bool lod0,
                                                          sh::GLenum shaderType)
  {
      TextureFunction textureFunction;
      textureFunction.sampler = samplerType;
      textureFunction.coords  = coords;
      textureFunction.method  = TextureFunction::IMPLICIT;
      textureFunction.proj    = false;
      textureFunction.offset  = false;
  
      if (name == "texture2D" || name == "textureCube" || name == "texture")
      {
          textureFunction.method = TextureFunction::IMPLICIT;
      }
      else if (name == "texture2DProj" || name == "textureProj")
      {
          textureFunction.method = TextureFunction::IMPLICIT;
          textureFunction.proj   = true;
      }
      else if (name == "texture2DLod" || name == "textureCubeLod" || name == "textureLod" ||
               name == "texture2DLodEXT" || name == "textureCubeLodEXT")
      {
          textureFunction.method = TextureFunction::LOD;
      }
      else if (name == "texture2DProjLod" || name == "textureProjLod" ||
               name == "texture2DProjLodEXT")
      {
          textureFunction.method = TextureFunction::LOD;
          textureFunction.proj   = true;
      }
      else if (name == "textureSize")
      {
          textureFunction.method = TextureFunction::SIZE;
      }
      else if (name == "textureOffset")
      {
          textureFunction.method = TextureFunction::IMPLICIT;
          textureFunction.offset = true;
      }
      else if (name == "textureProjOffset")
      {
          textureFunction.method = TextureFunction::IMPLICIT;
          textureFunction.offset = true;
          textureFunction.proj   = true;
      }
      else if (name == "textureLodOffset")
      {
          textureFunction.method = TextureFunction::LOD;
          textureFunction.offset = true;
      }
      else if (name == "textureProjLodOffset")
      {
          textureFunction.method = TextureFunction::LOD;
          textureFunction.proj   = true;
          textureFunction.offset = true;
      }
      else if (name == "texelFetch")
      {
          textureFunction.method = TextureFunction::FETCH;
      }
      else if (name == "texelFetchOffset")
      {
          textureFunction.method = TextureFunction::FETCH;
          textureFunction.offset = true;
      }
      else if (name == "textureGrad" || name == "texture2DGradEXT")
      {
          textureFunction.method = TextureFunction::GRAD;
      }
      else if (name == "textureGradOffset")
      {
          textureFunction.method = TextureFunction::GRAD;
          textureFunction.offset = true;
      }
      else if (name == "textureProjGrad" || name == "texture2DProjGradEXT" ||
               name == "textureCubeGradEXT")
      {
          textureFunction.method = TextureFunction::GRAD;
          textureFunction.proj   = true;
      }
      else if (name == "textureProjGradOffset")
      {
          textureFunction.method = TextureFunction::GRAD;
          textureFunction.proj   = true;
          textureFunction.offset = true;
      }
      else if (name == "textureGather")
      {
          textureFunction.method = TextureFunction::GATHER;
      }
      else if (name == "textureGatherOffset")
      {
          textureFunction.method = TextureFunction::GATHER;
          textureFunction.offset = true;
      }
      else
          UNREACHABLE();
  
      if (textureFunction.method ==
          TextureFunction::IMPLICIT)  // Could require lod 0 or have a bias argument
      {
          size_t mandatoryArgumentCount = 2;  // All functions have sampler and coordinate arguments
  
          if (textureFunction.offset)
          {
              mandatoryArgumentCount++;
          }
  
          bool bias = (argumentCount > mandatoryArgumentCount);  // Bias argument is optional
  
          if (lod0 || shaderType == GL_VERTEX_SHADER || shaderType == GL_COMPUTE_SHADER)
          {
              if (bias)
              {
                  textureFunction.method = TextureFunction::LOD0BIAS;
              }
              else
              {
                  textureFunction.method = TextureFunction::LOD0;
              }
          }
          else if (bias)
          {
              textureFunction.method = TextureFunction::BIAS;
          }
      }
  
      mUsesTexture.insert(textureFunction);
      return textureFunction.name();
  }
  
  void TextureFunctionHLSL::textureFunctionHeader(TInfoSinkBase &out,
                                                  const ShShaderOutput outputType,
                                                  bool getDimensionsIgnoresBaseLevel)
  {
      for (const TextureFunction &textureFunction : mUsesTexture)
      {
          // Function header
          out << textureFunction.getReturnType() << " " << textureFunction.name() << "(";
  
          OutputTextureFunctionArgumentList(out, textureFunction, outputType);
  
          out << ")\n"
                 "{\n";
  
          // In some cases we use a variable to store the texture/sampler objects, but to work around
          // a D3D11 compiler bug related to discard inside a loop that is conditional on texture
          // sampling we need to call the function directly on references to the texture and sampler
          // arrays. The bug was found using dEQP-GLES3.functional.shaders.discard*loop_texture*
          // tests.
          ImmutableString textureReference("");
          ImmutableString samplerReference("");
          GetTextureReference(out, textureFunction, outputType, &textureReference, &samplerReference);
  
          if (textureFunction.method == TextureFunction::SIZE)
          {
              OutputTextureSizeFunctionBody(out, textureFunction, textureReference,
                                            getDimensionsIgnoresBaseLevel);
          }
          else
          {
              ImmutableString texCoordX("t.x");
              ImmutableString texCoordY("t.y");
              ImmutableString texCoordZ("t.z");
              if (textureFunction.method == TextureFunction::GATHER)
              {
                  OutputTextureGatherFunctionBody(out, textureFunction, outputType, textureReference,
                                                  samplerReference, texCoordX, texCoordY, texCoordZ);
              }
              else
              {
                  ProjectTextureCoordinates(textureFunction, &texCoordX, &texCoordY, &texCoordZ);
                  OutputIntegerTextureSampleFunctionComputations(
                      out, textureFunction, outputType, textureReference, &texCoordX, &texCoordY,
                      &texCoordZ, getDimensionsIgnoresBaseLevel);
                  OutputTextureSampleFunctionReturnStatement(out, textureFunction, outputType,
                                                             textureReference, samplerReference,
                                                             texCoordX, texCoordY, texCoordZ);
              }
          }
  
          out << "}\n"
                 "\n";
      }
  }
  
  }  // namespace sh