diff --git a/src/Magnum/AbstractTexture.cpp b/src/Magnum/AbstractTexture.cpp
index 93dde42fc..b0d43a9bc 100644
--- a/src/Magnum/AbstractTexture.cpp
+++ b/src/Magnum/AbstractTexture.cpp
@@ -41,52 +41,6 @@
 
 namespace Magnum {
 
-AbstractTexture::BindImplementation AbstractTexture::bindImplementation =
-    &AbstractTexture::bindImplementationDefault;
-AbstractTexture::ParameteriImplementation AbstractTexture::parameteriImplementation =
-    &AbstractTexture::parameterImplementationDefault;
-AbstractTexture::ParameterfImplementation AbstractTexture::parameterfImplementation =
-    &AbstractTexture::parameterImplementationDefault;
-AbstractTexture::ParameterfvImplementation AbstractTexture::parameterfvImplementation =
-    &AbstractTexture::parameterImplementationDefault;
-AbstractTexture::SetMaxAnisotropyImplementation AbstractTexture::setMaxAnisotropyImplementation =
-    &AbstractTexture::setMaxAnisotropyImplementationNoOp;
-#ifndef MAGNUM_TARGET_GLES
-AbstractTexture::GetLevelParameterivImplementation AbstractTexture::getLevelParameterivImplementation =
-    &AbstractTexture::getLevelParameterImplementationDefault;
-#endif
-AbstractTexture::MipmapImplementation AbstractTexture::mipmapImplementation =
-    &AbstractTexture::mipmapImplementationDefault;
-#ifndef MAGNUM_TARGET_GLES
-AbstractTexture::Storage1DImplementation AbstractTexture::storage1DImplementation =
-    &AbstractTexture::storageImplementationFallback;
-#endif
-AbstractTexture::Storage2DImplementation AbstractTexture::storage2DImplementation =
-    &AbstractTexture::storageImplementationFallback;
-AbstractTexture::Storage3DImplementation AbstractTexture::storage3DImplementation =
-    &AbstractTexture::storageImplementationFallback;
-#ifndef MAGNUM_TARGET_GLES
-AbstractTexture::GetImageImplementation AbstractTexture::getImageImplementation =
-    &AbstractTexture::getImageImplementationDefault;
-AbstractTexture::Image1DImplementation AbstractTexture::image1DImplementation =
-    &AbstractTexture::imageImplementationDefault;
-#endif
-AbstractTexture::Image2DImplementation AbstractTexture::image2DImplementation =
-    &AbstractTexture::imageImplementationDefault;
-AbstractTexture::Image3DImplementation AbstractTexture::image3DImplementation =
-    &AbstractTexture::imageImplementationDefault;
-#ifndef MAGNUM_TARGET_GLES
-AbstractTexture::SubImage1DImplementation AbstractTexture::subImage1DImplementation =
-    &AbstractTexture::subImageImplementationDefault;
-#endif
-AbstractTexture::SubImage2DImplementation AbstractTexture::subImage2DImplementation =
-    &AbstractTexture::subImageImplementationDefault;
-AbstractTexture::SubImage3DImplementation AbstractTexture::subImage3DImplementation =
-    &AbstractTexture::subImageImplementationDefault;
-
-AbstractTexture::InvalidateImageImplementation AbstractTexture::invalidateImageImplementation = &AbstractTexture::invalidateImageImplementationNoOp;
-AbstractTexture::InvalidateSubImageImplementation AbstractTexture::invalidateSubImageImplementation = &AbstractTexture::invalidateSubImageImplementationNoOp;
-
 Int AbstractTexture::maxLayers() { return Shader::maxCombinedTextureImageUnits(); }
 
 #ifndef MAGNUM_TARGET_GLES
@@ -160,7 +114,7 @@ void AbstractTexture::bind(Int layer) {
     /* If already bound in given layer, nothing to do */
     if(textureState->bindings[layer] == _id) return;
 
-    (this->*bindImplementation)(layer);
+    (this->*Context::current()->state().texture->bindImplementation)(layer);
 }
 
 void AbstractTexture::bindImplementationDefault(GLint layer) {
@@ -185,16 +139,39 @@ AbstractTexture& AbstractTexture::setMinificationFilter(Sampler::Filter filter,
     CORRADE_ASSERT(_target != GL_TEXTURE_RECTANGLE || mipmap == Sampler::Mipmap::Base, "AbstractTexture: rectangle textures cannot have mipmaps", *this);
     #endif
 
-    (this->*parameteriImplementation)(GL_TEXTURE_MIN_FILTER, GLint(filter)|GLint(mipmap));
+    (this->*Context::current()->state().texture->parameteriImplementation)(GL_TEXTURE_MIN_FILTER, GLint(filter)|GLint(mipmap));
+    return *this;
+}
+
+AbstractTexture& AbstractTexture::setMagnificationFilter(const Sampler::Filter filter) {
+    (this->*Context::current()->state().texture->parameteriImplementation)(GL_TEXTURE_MAG_FILTER, GLint(filter));
     return *this;
 }
 
+AbstractTexture& AbstractTexture::setBorderColor(const Color4& color) {
+    #ifndef MAGNUM_TARGET_GLES
+    (this->*Context::current()->state().texture->parameterfvImplementation)(GL_TEXTURE_BORDER_COLOR, color.data());
+    #else
+    (this->*Context::current()->state().texture->parameterfvImplementation)(GL_TEXTURE_BORDER_COLOR_NV, color.data());
+    #endif
+    return *this;
+}
+
+AbstractTexture& AbstractTexture::setMaxAnisotropy(const Float anisotropy) {
+    (this->*Context::current()->state().texture->setMaxAnisotropyImplementation)(anisotropy);
+    return *this;
+}
+
+void AbstractTexture::invalidateImage(const Int level) {
+    (this->*Context::current()->state().texture->invalidateImageImplementation)(level);
+}
+
 AbstractTexture& AbstractTexture::generateMipmap() {
     #ifndef MAGNUM_TARGET_GLES
     CORRADE_ASSERT(_target != GL_TEXTURE_RECTANGLE, "AbstractTexture: rectangle textures cannot have mipmaps", *this);
     #endif
 
-    (this->*mipmapImplementation)();
+    (this->*Context::current()->state().texture->mipmapImplementation)();
     return *this;
 }
 
@@ -226,65 +203,6 @@ void AbstractTexture::bindInternal() {
         glBindTexture(_target, (textureState->bindings[internalLayer] = _id));
 }
 
-void AbstractTexture::initializeContextBasedFunctionality(Context& context) {
-    /* Resize bindings array to hold all possible layers */
-    context.state().texture->bindings.resize(maxLayers());
-
-    #ifndef MAGNUM_TARGET_GLES
-    if(context.isExtensionSupported<Extensions::GL::EXT::direct_state_access>()) {
-        Debug() << "AbstractTexture: using" << Extensions::GL::EXT::direct_state_access::string() << "features";
-
-        bindImplementation = &AbstractTexture::bindImplementationDSA;
-        parameteriImplementation = &AbstractTexture::parameterImplementationDSA;
-        parameterfImplementation = &AbstractTexture::parameterImplementationDSA;
-        parameterfvImplementation = &AbstractTexture::parameterImplementationDSA;
-        getLevelParameterivImplementation = &AbstractTexture::getLevelParameterImplementationDSA;
-        mipmapImplementation = &AbstractTexture::mipmapImplementationDSA;
-        getImageImplementation = &AbstractTexture::getImageImplementationDSA;
-        image1DImplementation = &AbstractTexture::imageImplementationDSA;
-        image2DImplementation = &AbstractTexture::imageImplementationDSA;
-        image3DImplementation = &AbstractTexture::imageImplementationDSA;
-        subImage1DImplementation = &AbstractTexture::subImageImplementationDSA;
-        subImage2DImplementation = &AbstractTexture::subImageImplementationDSA;
-        subImage3DImplementation = &AbstractTexture::subImageImplementationDSA;
-    }
-
-    if(context.isExtensionSupported<Extensions::GL::ARB::invalidate_subdata>()) {
-        Debug() << "AbstractTexture: using" << Extensions::GL::ARB::invalidate_subdata::string() << "features";
-
-        invalidateImageImplementation = &AbstractTexture::invalidateImageImplementationARB;
-        invalidateSubImageImplementation = &AbstractTexture::invalidateSubImageImplementationARB;
-    }
-
-    if(context.isExtensionSupported<Extensions::GL::ARB::robustness>() &&
-       !context.isExtensionSupported<Extensions::GL::EXT::direct_state_access>()) {
-        Debug() << "AbstractTexture: using" << Extensions::GL::ARB::robustness::string() << "features";
-
-        getImageImplementation = &AbstractTexture::getImageImplementationRobustness;
-    }
-
-    if(context.isExtensionSupported<Extensions::GL::ARB::texture_storage>()) {
-        Debug() << "AbstractTexture: using" << Extensions::GL::ARB::texture_storage::string() << "features";
-
-        if(context.isExtensionSupported<Extensions::GL::EXT::direct_state_access>()) {
-            storage1DImplementation = &AbstractTexture::storageImplementationDSA;
-            storage2DImplementation = &AbstractTexture::storageImplementationDSA;
-            storage3DImplementation = &AbstractTexture::storageImplementationDSA;
-        } else {
-            storage1DImplementation = &AbstractTexture::storageImplementationDefault;
-            storage2DImplementation = &AbstractTexture::storageImplementationDefault;
-            storage3DImplementation = &AbstractTexture::storageImplementationDefault;
-        }
-    }
-    #endif
-
-    if(context.isExtensionSupported<Extensions::GL::EXT::texture_filter_anisotropic>()) {
-        Debug() << "AbstractTexture: using" << Extensions::GL::EXT::texture_filter_anisotropic::string() << "features";
-
-        setMaxAnisotropyImplementation = &AbstractTexture::setMaxAnisotropyImplementationExt;
-    }
-}
-
 ColorFormat AbstractTexture::imageFormatForInternalFormat(const TextureFormat internalFormat) {
     switch(internalFormat) {
         case TextureFormat::Red:
@@ -690,7 +608,7 @@ void AbstractTexture::parameterImplementationDSA(GLenum parameter, const GLfloat
 void AbstractTexture::setMaxAnisotropyImplementationNoOp(GLfloat) {}
 
 void AbstractTexture::setMaxAnisotropyImplementationExt(GLfloat anisotropy) {
-    (this->*parameterfImplementation)(GL_TEXTURE_MAX_ANISOTROPY_EXT, anisotropy);
+    (this->*Context::current()->state().texture->parameterfImplementation)(GL_TEXTURE_MAX_ANISOTROPY_EXT, anisotropy);
 }
 
 #ifndef MAGNUM_TARGET_GLES
@@ -712,7 +630,7 @@ void AbstractTexture::storageImplementationFallback(const GLenum target, const G
     const ColorType type = imageTypeForInternalFormat(internalFormat);
 
     for(GLsizei level = 0; level != levels; ++level) {
-        (this->*image1DImplementation)(target, level, internalFormat, Math::max(Math::Vector<1, GLsizei>(1), size >> level), format, type, nullptr);
+        (this->*Context::current()->state().texture->image1DImplementation)(target, level, internalFormat, Math::max(Math::Vector<1, GLsizei>(1), size >> level), format, type, nullptr);
     }
 }
 
@@ -748,7 +666,7 @@ void AbstractTexture::storageImplementationFallback(const GLenum target, const G
     #endif
     {
         for(GLsizei level = 0; level != levels; ++level) {
-            (this->*image2DImplementation)(target, level, internalFormat, Math::max(Vector2i(1), size >> level), format, type, nullptr);
+            (this->*Context::current()->state().texture->image2DImplementation)(target, level, internalFormat, Math::max(Vector2i(1), size >> level), format, type, nullptr);
         }
 
     /* Cube map additionally needs to specify all faces */
@@ -760,14 +678,14 @@ void AbstractTexture::storageImplementationFallback(const GLenum target, const G
                               GL_TEXTURE_CUBE_MAP_NEGATIVE_Y,
                               GL_TEXTURE_CUBE_MAP_POSITIVE_Z,
                               GL_TEXTURE_CUBE_MAP_NEGATIVE_Z})
-                (this->*image2DImplementation)(face, level, internalFormat, Math::max(Vector2i(1), size >> level), format, type, nullptr);
+                (this->*Context::current()->state().texture->image2DImplementation)(face, level, internalFormat, Math::max(Vector2i(1), size >> level), format, type, nullptr);
         }
 
     #ifndef MAGNUM_TARGET_GLES
     /* Array texture is not scaled in "layer" dimension */
     } else if(target == GL_TEXTURE_1D_ARRAY) {
         for(GLsizei level = 0; level != levels; ++level) {
-            (this->*image2DImplementation)(target, level, internalFormat, Math::max(Vector2i(1), size >> level), format, type, nullptr);
+            (this->*Context::current()->state().texture->image2DImplementation)(target, level, internalFormat, Math::max(Vector2i(1), size >> level), format, type, nullptr);
         }
     #endif
 
@@ -808,7 +726,7 @@ void AbstractTexture::storageImplementationFallback(GLenum target, GLsizei level
     #endif
     {
         for(GLsizei level = 0; level != levels; ++level) {
-            (this->*image3DImplementation)(target, level, internalFormat, Math::max(Vector3i(1), size >> level), format, type, nullptr);
+            (this->*Context::current()->state().texture->image3DImplementation)(target, level, internalFormat, Math::max(Vector3i(1), size >> level), format, type, nullptr);
         }
 
     #ifndef MAGNUM_TARGET_GLES2
@@ -821,7 +739,7 @@ void AbstractTexture::storageImplementationFallback(GLenum target, GLsizei level
     #endif
     {
         for(GLsizei level = 0; level != levels; ++level) {
-            (this->*image3DImplementation)(target, level, internalFormat, Math::max(Vector3i(1), size >> level), format, type, nullptr);
+            (this->*Context::current()->state().texture->image3DImplementation)(target, level, internalFormat, Math::max(Vector3i(1), size >> level), format, type, nullptr);
         }
     #endif
 
@@ -991,7 +909,7 @@ template<UnsignedInt dimensions> void AbstractTexture::image(GLenum target, GLin
     const Math::Vector<dimensions, Int> size = DataHelper<dimensions>::imageSize(this, target, level);
     const std::size_t dataSize = size.product()*image.pixelSize();
     char* data = new char[dataSize];
-    (this->*getImageImplementation)(target, level, image.format(), image.type(), dataSize, data);
+    (this->*Context::current()->state().texture->getImageImplementation)(target, level, image.format(), image.type(), dataSize, data);
     image.setData(image.format(), image.type(), size, data);
 }
 
@@ -1006,7 +924,7 @@ template<UnsignedInt dimensions> void AbstractTexture::image(GLenum target, GLin
         image.setData(image.format(), image.type(), size, nullptr, usage);
 
     image.buffer().bind(Buffer::Target::PixelPack);
-    (this->*getImageImplementation)(target, level, image.format(), image.type(), dataSize, nullptr);
+    (this->*Context::current()->state().texture->getImageImplementation)(target, level, image.format(), image.type(), dataSize, nullptr);
 }
 
 template void MAGNUM_EXPORT AbstractTexture::image<1>(GLenum, GLint, BufferImage<1>&, BufferUsage);
@@ -1019,45 +937,63 @@ template void MAGNUM_EXPORT AbstractTexture::image<3>(GLenum, GLint, BufferImage
 #ifndef MAGNUM_TARGET_GLES
 Math::Vector<1, GLint> AbstractTexture::DataHelper<1>::imageSize(AbstractTexture* texture, GLenum target, GLint level) {
     Math::Vector<1, GLint> value;
-    (texture->*getLevelParameterivImplementation)(target, level, GL_TEXTURE_WIDTH, &value[0]);
+    (texture->*Context::current()->state().texture->getLevelParameterivImplementation)(target, level, GL_TEXTURE_WIDTH, &value[0]);
     return value;
 }
 
 Vector2i AbstractTexture::DataHelper<2>::imageSize(AbstractTexture* texture, GLenum target, GLint level) {
+    const Implementation::TextureState& state = *Context::current()->state().texture;
+
     Vector2i value;
-    (texture->*getLevelParameterivImplementation)(target, level, GL_TEXTURE_WIDTH, &value[0]);
-    (texture->*getLevelParameterivImplementation)(target, level, GL_TEXTURE_HEIGHT, &value[1]);
+    (texture->*state.getLevelParameterivImplementation)(target, level, GL_TEXTURE_WIDTH, &value[0]);
+    (texture->*state.getLevelParameterivImplementation)(target, level, GL_TEXTURE_HEIGHT, &value[1]);
     return value;
 }
 
 Vector3i AbstractTexture::DataHelper<3>::imageSize(AbstractTexture* texture, GLenum target, GLint level) {
+    const Implementation::TextureState& state = *Context::current()->state().texture;
+
     Vector3i value;
-    (texture->*getLevelParameterivImplementation)(target, level, GL_TEXTURE_WIDTH, &value[0]);
-    (texture->*getLevelParameterivImplementation)(target, level, GL_TEXTURE_HEIGHT, &value[1]);
-    (texture->*getLevelParameterivImplementation)(target, level, GL_TEXTURE_DEPTH, &value[2]);
+    (texture->*state.getLevelParameterivImplementation)(target, level, GL_TEXTURE_WIDTH, &value[0]);
+    (texture->*state.getLevelParameterivImplementation)(target, level, GL_TEXTURE_HEIGHT, &value[1]);
+    (texture->*state.getLevelParameterivImplementation)(target, level, GL_TEXTURE_DEPTH, &value[2]);
     return value;
 }
 #endif
 
+#ifndef MAGNUM_TARGET_GLES
+void AbstractTexture::DataHelper<1>::setStorage(AbstractTexture* const texture, const GLenum target, const GLsizei levels, const TextureFormat internalFormat, const Math::Vector< 1, GLsizei >& size) {
+    (texture->*Context::current()->state().texture->storage1DImplementation)(target, levels, internalFormat, size);
+}
+#endif
+
+void AbstractTexture::DataHelper<2>::setStorage(AbstractTexture* const texture, const GLenum target, const GLsizei levels, const TextureFormat internalFormat, const Vector2i& size) {
+    (texture->*Context::current()->state().texture->storage2DImplementation)(target, levels, internalFormat, size);
+}
+
+void AbstractTexture::DataHelper<3>::setStorage(AbstractTexture* const texture, const GLenum target, const GLsizei levels, const TextureFormat internalFormat, const Vector3i& size) {
+    (texture->*Context::current()->state().texture->storage3DImplementation)(target, levels, internalFormat, size);
+}
+
 #ifndef MAGNUM_TARGET_GLES
 void AbstractTexture::DataHelper<1>::setImage(AbstractTexture* const texture, const GLenum target, const GLint level, const TextureFormat internalFormat, const ImageReference1D& image) {
     Buffer::unbind(Buffer::Target::PixelUnpack);
-    (texture->*image1DImplementation)(target, level, internalFormat, image.size(), image.format(), image.type(), image.data());
+    (texture->*Context::current()->state().texture->image1DImplementation)(target, level, internalFormat, image.size(), image.format(), image.type(), image.data());
 }
 
 void AbstractTexture::DataHelper<1>::setImage(AbstractTexture* const texture, const GLenum target, const GLint level, const TextureFormat internalFormat, BufferImage1D& image) {
     image.buffer().bind(Buffer::Target::PixelUnpack);
-    (texture->*image1DImplementation)(target, level, internalFormat, image.size(), image.format(), image.type(), nullptr);
+    (texture->*Context::current()->state().texture->image1DImplementation)(target, level, internalFormat, image.size(), image.format(), image.type(), nullptr);
 }
 
 void AbstractTexture::DataHelper<1>::setSubImage(AbstractTexture* const texture, const GLenum target, const GLint level, const Math::Vector<1, GLint>& offset, const ImageReference1D& image) {
     Buffer::unbind(Buffer::Target::PixelUnpack);
-    (texture->*subImage1DImplementation)(target, level, offset, image.size(), image.format(), image.type(), image.data());
+    (texture->*Context::current()->state().texture->subImage1DImplementation)(target, level, offset, image.size(), image.format(), image.type(), image.data());
 }
 
 void AbstractTexture::DataHelper<1>::setSubImage(AbstractTexture* const texture, const GLenum target, const GLint level, const Math::Vector<1, GLint>& offset, BufferImage1D& image) {
     image.buffer().bind(Buffer::Target::PixelUnpack);
-    (texture->*subImage1DImplementation)(target, level, offset, image.size(), image.format(), image.type(), nullptr);
+    (texture->*Context::current()->state().texture->subImage1DImplementation)(target, level, offset, image.size(), image.format(), image.type(), nullptr);
 }
 #endif
 
@@ -1065,13 +1001,13 @@ void AbstractTexture::DataHelper<2>::setImage(AbstractTexture* const texture, co
     #ifndef MAGNUM_TARGET_GLES2
     Buffer::unbind(Buffer::Target::PixelUnpack);
     #endif
-    (texture->*image2DImplementation)(target, level, internalFormat, image.size(), image.format(), image.type(), image.data());
+    (texture->*Context::current()->state().texture->image2DImplementation)(target, level, internalFormat, image.size(), image.format(), image.type(), image.data());
 }
 
 #ifndef MAGNUM_TARGET_GLES2
 void AbstractTexture::DataHelper<2>::setImage(AbstractTexture* const texture, const GLenum target, const GLint level, const TextureFormat internalFormat, BufferImage2D& image) {
     image.buffer().bind(Buffer::Target::PixelUnpack);
-    (texture->*image2DImplementation)(target, level, internalFormat, image.size(), image.format(), image.type(), nullptr);
+    (texture->*Context::current()->state().texture->image2DImplementation)(target, level, internalFormat, image.size(), image.format(), image.type(), nullptr);
 }
 #endif
 
@@ -1079,13 +1015,13 @@ void AbstractTexture::DataHelper<2>::setSubImage(AbstractTexture* const texture,
     #ifndef MAGNUM_TARGET_GLES2
     Buffer::unbind(Buffer::Target::PixelUnpack);
     #endif
-    (texture->*subImage2DImplementation)(target, level, offset, image.size(), image.format(), image.type(), image.data());
+    (texture->*Context::current()->state().texture->subImage2DImplementation)(target, level, offset, image.size(), image.format(), image.type(), image.data());
 }
 
 #ifndef MAGNUM_TARGET_GLES2
 void AbstractTexture::DataHelper<2>::setSubImage(AbstractTexture* const texture, const GLenum target, const GLint level, const Vector2i& offset, BufferImage2D& image) {
     image.buffer().bind(Buffer::Target::PixelUnpack);
-    (texture->*subImage2DImplementation)(target, level, offset, image.size(), image.format(), image.type(), nullptr);
+    (texture->*Context::current()->state().texture->subImage2DImplementation)(target, level, offset, image.size(), image.format(), image.type(), nullptr);
 }
 #endif
 
@@ -1093,13 +1029,13 @@ void AbstractTexture::DataHelper<3>::setImage(AbstractTexture* const texture, co
     #ifndef MAGNUM_TARGET_GLES2
     Buffer::unbind(Buffer::Target::PixelUnpack);
     #endif
-    (texture->*image3DImplementation)(target, level, internalFormat, image.size(), image.format(), image.type(), image.data());
+    (texture->*Context::current()->state().texture->image3DImplementation)(target, level, internalFormat, image.size(), image.format(), image.type(), image.data());
 }
 
 #ifndef MAGNUM_TARGET_GLES2
 void AbstractTexture::DataHelper<3>::setImage(AbstractTexture* const texture, const GLenum target, const GLint level, const TextureFormat internalFormat, BufferImage3D& image) {
     image.buffer().bind(Buffer::Target::PixelUnpack);
-    (texture->*image3DImplementation)(target, level, internalFormat, image.size(), image.format(), image.type(), nullptr);
+    (texture->*Context::current()->state().texture->image3DImplementation)(target, level, internalFormat, image.size(), image.format(), image.type(), nullptr);
 }
 #endif
 
@@ -1107,13 +1043,33 @@ void AbstractTexture::DataHelper<3>::setSubImage(AbstractTexture* const texture,
     #ifndef MAGNUM_TARGET_GLES2
     Buffer::unbind(Buffer::Target::PixelUnpack);
     #endif
-    (texture->*subImage3DImplementation)(target, level, offset, image.size(), image.format(), image.type(), image.data());
+    (texture->*Context::current()->state().texture->subImage3DImplementation)(target, level, offset, image.size(), image.format(), image.type(), image.data());
 }
 
 #ifndef MAGNUM_TARGET_GLES2
 void AbstractTexture::DataHelper<3>::setSubImage(AbstractTexture* const texture, const GLenum target, const GLint level, const Vector3i& offset, BufferImage3D& image) {
     image.buffer().bind(Buffer::Target::PixelUnpack);
-    (texture->*subImage3DImplementation)(target, level, offset, image.size(), image.format(), image.type(), nullptr);
+    (texture->*Context::current()->state().texture->subImage3DImplementation)(target, level, offset, image.size(), image.format(), image.type(), nullptr);
+}
+#endif
+
+#ifndef MAGNUM_TARGET_GLES
+void AbstractTexture::DataHelper<1>::invalidateSubImage(AbstractTexture* const texture, const GLint level, const Math::Vector<1, GLint>& offset, const Math::Vector<1, GLint>& size) {
+    (texture->*Context::current()->state().texture->invalidateSubImageImplementation)(level, {offset[0], 0, 0}, {size[0], 1, 1});
+}
+#endif
+
+void AbstractTexture::DataHelper<2>::invalidateSubImage(AbstractTexture* const texture, const GLint level, const Vector2i& offset, const Vector2i& size) {
+    (texture->*Context::current()->state().texture->invalidateSubImageImplementation)(level, {offset, 0}, {size, 1});
+}
+
+void AbstractTexture::DataHelper<3>::invalidateSubImage(AbstractTexture* const texture, const GLint level, const Vector3i& offset, const Vector3i& size) {
+    (texture->*Context::current()->state().texture->invalidateSubImageImplementation)(level, offset, size);
+}
+
+#ifndef MAGNUM_TARGET_GLES
+void AbstractTexture::DataHelper<1>::setWrapping(AbstractTexture* const texture, const Array1D<Sampler::Wrapping>& wrapping) {
+    (texture->*Context::current()->state().texture->parameteriImplementation)(GL_TEXTURE_WRAP_S, GLint(wrapping.x()));
 }
 #endif
 
@@ -1122,15 +1078,19 @@ void AbstractTexture::DataHelper<2>::setWrapping(AbstractTexture* texture, const
     CORRADE_ASSERT(texture->_target != GL_TEXTURE_RECTANGLE || ((wrapping.x() == Sampler::Wrapping::ClampToEdge || wrapping.x() == Sampler::Wrapping::ClampToBorder) && (wrapping.y() == Sampler::Wrapping::ClampToEdge || wrapping.y() == Sampler::Wrapping::ClampToBorder)), "Texture2D::setWrapping(): rectangle texture must be clamped to border or to edge", );
     #endif
 
-    (texture->*parameteriImplementation)(GL_TEXTURE_WRAP_S, GLint(wrapping.x()));
-    (texture->*parameteriImplementation)(GL_TEXTURE_WRAP_T, GLint(wrapping.y()));
+    const Implementation::TextureState& state = *Context::current()->state().texture;
+
+    (texture->*state.parameteriImplementation)(GL_TEXTURE_WRAP_S, GLint(wrapping.x()));
+    (texture->*state.parameteriImplementation)(GL_TEXTURE_WRAP_T, GLint(wrapping.y()));
 }
 
 void AbstractTexture::DataHelper<3>::setWrapping(AbstractTexture* texture, const Array3D<Sampler::Wrapping>& wrapping) {
-    (texture->*parameteriImplementation)(GL_TEXTURE_WRAP_S, GLint(wrapping.x()));
-    (texture->*parameteriImplementation)(GL_TEXTURE_WRAP_T, GLint(wrapping.y()));
+    const Implementation::TextureState& state = *Context::current()->state().texture;
+
+    (texture->*state.parameteriImplementation)(GL_TEXTURE_WRAP_S, GLint(wrapping.x()));
+    (texture->*state.parameteriImplementation)(GL_TEXTURE_WRAP_T, GLint(wrapping.y()));
     #ifndef MAGNUM_TARGET_GLES
-    (texture->*parameteriImplementation)(GL_TEXTURE_WRAP_R, GLint(wrapping.z()));
+    (texture->*state.parameteriImplementation)(GL_TEXTURE_WRAP_R, GLint(wrapping.z()));
     #endif
 }
 #endif
diff --git a/src/Magnum/AbstractTexture.h b/src/Magnum/AbstractTexture.h
index 53522be75..ac3ac20ed 100644
--- a/src/Magnum/AbstractTexture.h
+++ b/src/Magnum/AbstractTexture.h
@@ -36,6 +36,8 @@
 
 namespace Magnum {
 
+namespace Implementation { struct TextureState; }
+
 /**
 @brief Base for textures
 
@@ -99,7 +101,7 @@ nothing.
 @todo Query for immutable levels (@extension{ARB,ES3_compatibility})
 */
 class MAGNUM_EXPORT AbstractTexture: public AbstractObject {
-    friend class Context;
+    friend class Implementation::TextureState;
 
     public:
         /**
@@ -243,10 +245,7 @@ class MAGNUM_EXPORT AbstractTexture: public AbstractObject {
          *      or @fn_gl_extension{TextureParameter,EXT,direct_state_access}
          *      with @def_gl{TEXTURE_MAG_FILTER}
          */
-        AbstractTexture& setMagnificationFilter(Sampler::Filter filter) {
-            (this->*parameteriImplementation)(GL_TEXTURE_MAG_FILTER, GLint(filter));
-            return *this;
-        }
+        AbstractTexture& setMagnificationFilter(Sampler::Filter filter);
 
         /**
          * @brief Set border color
@@ -261,14 +260,7 @@ class MAGNUM_EXPORT AbstractTexture: public AbstractObject {
          *      with @def_gl{TEXTURE_BORDER_COLOR}
          * @requires_es_extension %Extension @es_extension{NV,texture_border_clamp}
          */
-        AbstractTexture& setBorderColor(const Color4& color) {
-            #ifndef MAGNUM_TARGET_GLES
-            (this->*parameterfvImplementation)(GL_TEXTURE_BORDER_COLOR, color.data());
-            #else
-            (this->*parameterfvImplementation)(GL_TEXTURE_BORDER_COLOR_NV, color.data());
-            #endif
-            return *this;
-        }
+        AbstractTexture& setBorderColor(const Color4& color);
 
         /**
          * @brief Set max anisotropy
@@ -285,10 +277,7 @@ class MAGNUM_EXPORT AbstractTexture: public AbstractObject {
          *      @fn_gl_extension{TextureParameter,EXT,direct_state_access} with
          *      @def_gl{TEXTURE_MAX_ANISOTROPY_EXT}
          */
-        AbstractTexture& setMaxAnisotropy(Float anisotropy) {
-            (this->*setMaxAnisotropyImplementation)(anisotropy);
-            return *this;
-        }
+        AbstractTexture& setMaxAnisotropy(Float anisotropy);
 
         /**
          * @brief Invalidate texture image
@@ -299,9 +288,7 @@ class MAGNUM_EXPORT AbstractTexture: public AbstractObject {
          * @see @ref Texture::invalidateSubImage() "invalidateSubImage()",
          *      @fn_gl{InvalidateTexImage}
          */
-        void invalidateImage(Int level) {
-            (this->*invalidateImageImplementation)(level);
-        }
+        void invalidateImage(Int level);
 
         /**
          * @brief Generate mipmap
@@ -352,142 +339,102 @@ class MAGNUM_EXPORT AbstractTexture: public AbstractObject {
         GLenum _target;
 
     private:
-        static void MAGNUM_LOCAL initializeContextBasedFunctionality(Context& context);
-
-        typedef void(AbstractTexture::*BindImplementation)(GLint);
         void MAGNUM_LOCAL bindImplementationDefault(GLint layer);
         #ifndef MAGNUM_TARGET_GLES
         void MAGNUM_LOCAL bindImplementationDSA(GLint layer);
         #endif
-        static MAGNUM_LOCAL BindImplementation bindImplementation;
 
-        typedef void(AbstractTexture::*ParameteriImplementation)(GLenum, GLint);
         void MAGNUM_LOCAL parameterImplementationDefault(GLenum parameter, GLint value);
         #ifndef MAGNUM_TARGET_GLES
         void MAGNUM_LOCAL parameterImplementationDSA(GLenum parameter, GLint value);
         #endif
-        static ParameteriImplementation parameteriImplementation;
 
-        typedef void(AbstractTexture::*ParameterfImplementation)(GLenum, GLfloat);
         void MAGNUM_LOCAL parameterImplementationDefault(GLenum parameter, GLfloat value);
         #ifndef MAGNUM_TARGET_GLES
         void MAGNUM_LOCAL parameterImplementationDSA(GLenum parameter, GLfloat value);
         #endif
-        static ParameterfImplementation parameterfImplementation;
 
-        typedef void(AbstractTexture::*ParameterfvImplementation)(GLenum, const GLfloat*);
         void MAGNUM_LOCAL parameterImplementationDefault(GLenum parameter, const GLfloat* values);
         #ifndef MAGNUM_TARGET_GLES
         void MAGNUM_LOCAL parameterImplementationDSA(GLenum parameter, const GLfloat* values);
         #endif
-        static ParameterfvImplementation parameterfvImplementation;
 
-        typedef void(AbstractTexture::*SetMaxAnisotropyImplementation)(GLfloat);
         void MAGNUM_LOCAL setMaxAnisotropyImplementationNoOp(GLfloat);
         void MAGNUM_LOCAL setMaxAnisotropyImplementationExt(GLfloat anisotropy);
-        static SetMaxAnisotropyImplementation setMaxAnisotropyImplementation;
 
         #ifndef MAGNUM_TARGET_GLES
-        typedef void(AbstractTexture::*GetLevelParameterivImplementation)(GLenum, GLint, GLenum, GLint*);
         void MAGNUM_LOCAL getLevelParameterImplementationDefault(GLenum target, GLint level, GLenum parameter, GLint* values);
         void MAGNUM_LOCAL getLevelParameterImplementationDSA(GLenum target, GLint level, GLenum parameter, GLint* values);
-        static MAGNUM_LOCAL GetLevelParameterivImplementation getLevelParameterivImplementation;
         #endif
 
-        typedef void(AbstractTexture::*MipmapImplementation)();
         void MAGNUM_LOCAL mipmapImplementationDefault();
         #ifndef MAGNUM_TARGET_GLES
         void MAGNUM_LOCAL mipmapImplementationDSA();
         #endif
-        static MAGNUM_LOCAL MipmapImplementation mipmapImplementation;
 
         #ifndef MAGNUM_TARGET_GLES
-        typedef void(AbstractTexture::*Storage1DImplementation)(GLenum, GLsizei, TextureFormat, const Math::Vector<1, GLsizei>&);
         void MAGNUM_LOCAL storageImplementationFallback(GLenum target, GLsizei levels, TextureFormat internalFormat, const Math::Vector<1, GLsizei>& size);
         void MAGNUM_LOCAL storageImplementationDefault(GLenum target, GLsizei levels, TextureFormat internalFormat, const Math::Vector<1, GLsizei>& size);
         void MAGNUM_LOCAL storageImplementationDSA(GLenum target, GLsizei levels, TextureFormat internalFormat, const Math::Vector<1, GLsizei>& size);
-        static Storage1DImplementation storage1DImplementation;
         #endif
 
-        typedef void(AbstractTexture::*Storage2DImplementation)(GLenum, GLsizei, TextureFormat, const Vector2i&);
         void MAGNUM_LOCAL storageImplementationFallback(GLenum target, GLsizei levels, TextureFormat internalFormat, const Vector2i& size);
         void MAGNUM_LOCAL storageImplementationDefault(GLenum target, GLsizei levels, TextureFormat internalFormat, const Vector2i& size);
         #ifndef MAGNUM_TARGET_GLES
         void MAGNUM_LOCAL storageImplementationDSA(GLenum target, GLsizei levels, TextureFormat internalFormat, const Vector2i& size);
         #endif
-        static Storage2DImplementation storage2DImplementation;
 
-        typedef void(AbstractTexture::*Storage3DImplementation)(GLenum, GLsizei, TextureFormat, const Vector3i&);
         void MAGNUM_LOCAL storageImplementationFallback(GLenum target, GLsizei levels, TextureFormat internalFormat, const Vector3i& size);
         void MAGNUM_LOCAL storageImplementationDefault(GLenum target, GLsizei levels, TextureFormat internalFormat, const Vector3i& size);
         #ifndef MAGNUM_TARGET_GLES
         void MAGNUM_LOCAL storageImplementationDSA(GLenum target, GLsizei levels, TextureFormat internalFormat, const Vector3i& size);
         #endif
-        static Storage3DImplementation storage3DImplementation;
 
         #ifndef MAGNUM_TARGET_GLES
-        typedef void(AbstractTexture::*GetImageImplementation)(GLenum, GLint, ColorFormat, ColorType, std::size_t, GLvoid*);
         void MAGNUM_LOCAL getImageImplementationDefault(GLenum target, GLint level, ColorFormat format, ColorType type, std::size_t dataSize, GLvoid* data);
         void MAGNUM_LOCAL getImageImplementationDSA(GLenum target, GLint level, ColorFormat format, ColorType type, std::size_t dataSize, GLvoid* data);
         void MAGNUM_LOCAL getImageImplementationRobustness(GLenum target, GLint level, ColorFormat format, ColorType type, std::size_t dataSize, GLvoid* data);
-        static MAGNUM_LOCAL GetImageImplementation getImageImplementation;
         #endif
 
         #ifndef MAGNUM_TARGET_GLES
-        typedef void(AbstractTexture::*Image1DImplementation)(GLenum, GLint, TextureFormat, const Math::Vector<1, GLsizei>&, ColorFormat, ColorType, const GLvoid*);
         void MAGNUM_LOCAL imageImplementationDefault(GLenum target, GLint level, TextureFormat internalFormat, const Math::Vector<1, GLsizei>& size, ColorFormat format, ColorType type, const GLvoid* data);
         void MAGNUM_LOCAL imageImplementationDSA(GLenum target, GLint level, TextureFormat internalFormat, const Math::Vector<1, GLsizei>& size, ColorFormat format, ColorType type, const GLvoid* data);
-        static Image1DImplementation image1DImplementation;
         #endif
 
-        typedef void(AbstractTexture::*Image2DImplementation)(GLenum, GLint, TextureFormat, const Vector2i&, ColorFormat, ColorType, const GLvoid*);
         void MAGNUM_LOCAL imageImplementationDefault(GLenum target, GLint level, TextureFormat internalFormat, const Vector2i& size, ColorFormat format, ColorType type, const GLvoid* data);
         #ifndef MAGNUM_TARGET_GLES
         void MAGNUM_LOCAL imageImplementationDSA(GLenum target, GLint level, TextureFormat internalFormat, const Vector2i& size, ColorFormat format, ColorType type, const GLvoid* data);
         #endif
-        static Image2DImplementation image2DImplementation;
 
-        typedef void(AbstractTexture::*Image3DImplementation)(GLenum, GLint, TextureFormat, const Vector3i&, ColorFormat, ColorType, const GLvoid*);
         void MAGNUM_LOCAL imageImplementationDefault(GLenum target, GLint level, TextureFormat internalFormat, const Vector3i& size, ColorFormat format, ColorType type, const GLvoid* data);
         #ifndef MAGNUM_TARGET_GLES
         void MAGNUM_LOCAL imageImplementationDSA(GLenum target, GLint level, TextureFormat internalFormat, const Vector3i& size, ColorFormat format, ColorType type, const GLvoid* data);
         #endif
-        static Image3DImplementation image3DImplementation;
 
         #ifndef MAGNUM_TARGET_GLES
-        typedef void(AbstractTexture::*SubImage1DImplementation)(GLenum, GLint, const Math::Vector<1, GLint>&, const Math::Vector<1, GLsizei>&, ColorFormat, ColorType, const GLvoid*);
         void MAGNUM_LOCAL subImageImplementationDefault(GLenum target, GLint level, const Math::Vector<1, GLint>& offset, const Math::Vector<1, GLsizei>& size, ColorFormat format, ColorType type, const GLvoid* data);
         void MAGNUM_LOCAL subImageImplementationDSA(GLenum target, GLint level, const Math::Vector<1, GLint>& offset, const Math::Vector<1, GLsizei>& size, ColorFormat format, ColorType type, const GLvoid* data);
-        static SubImage1DImplementation subImage1DImplementation;
         #endif
 
-        typedef void(AbstractTexture::*SubImage2DImplementation)(GLenum, GLint, const Vector2i&, const Vector2i&, ColorFormat, ColorType, const GLvoid*);
         void MAGNUM_LOCAL subImageImplementationDefault(GLenum target, GLint level, const Vector2i& offset, const Vector2i& size, ColorFormat format, ColorType type, const GLvoid* data);
         #ifndef MAGNUM_TARGET_GLES
         void MAGNUM_LOCAL subImageImplementationDSA(GLenum target, GLint level, const Vector2i& offset, const Vector2i& size, ColorFormat format, ColorType type, const GLvoid* data);
         #endif
-        static SubImage2DImplementation subImage2DImplementation;
 
-        typedef void(AbstractTexture::*SubImage3DImplementation)(GLenum, GLint, const Vector3i&, const Vector3i&, ColorFormat, ColorType, const GLvoid*);
         void MAGNUM_LOCAL subImageImplementationDefault(GLenum target, GLint level, const Vector3i& offset, const Vector3i& size, ColorFormat format, ColorType type, const GLvoid* data);
         #ifndef MAGNUM_TARGET_GLES
         void MAGNUM_LOCAL subImageImplementationDSA(GLenum target, GLint level, const Vector3i& offset, const Vector3i& size, ColorFormat format, ColorType type, const GLvoid* data);
         #endif
-        static SubImage3DImplementation subImage3DImplementation;
 
-        typedef void(AbstractTexture::*InvalidateImageImplementation)(GLint);
         void MAGNUM_LOCAL invalidateImageImplementationNoOp(GLint level);
         #ifndef MAGNUM_TARGET_GLES
         void MAGNUM_LOCAL invalidateImageImplementationARB(GLint level);
         #endif
-        static InvalidateImageImplementation invalidateImageImplementation;
 
-        typedef void(AbstractTexture::*InvalidateSubImageImplementation)(GLint, const Vector3i&, const Vector3i&);
         void MAGNUM_LOCAL invalidateSubImageImplementationNoOp(GLint level, const Vector3i& offset, const Vector3i& size);
         #ifndef MAGNUM_TARGET_GLES
         void MAGNUM_LOCAL invalidateSubImageImplementationARB(GLint level, const Vector3i& offset, const Vector3i& size);
         #endif
-        static InvalidateSubImageImplementation invalidateSubImageImplementation;
 
         ColorFormat MAGNUM_LOCAL imageFormatForInternalFormat(TextureFormat internalFormat);
         ColorType MAGNUM_LOCAL imageTypeForInternalFormat(TextureFormat internalFormat);
@@ -506,13 +453,9 @@ template<> struct MAGNUM_EXPORT AbstractTexture::DataHelper<1> {
 
     static Math::Vector<1, GLint> imageSize(AbstractTexture* texture, GLenum target, GLint level);
 
-    static void setWrapping(AbstractTexture* texture, const Array1D<Sampler::Wrapping>& wrapping) {
-        (texture->*parameteriImplementation)(GL_TEXTURE_WRAP_S, GLint(wrapping.x()));
-    }
+    static void setWrapping(AbstractTexture* texture, const Array1D<Sampler::Wrapping>& wrapping);
 
-    static void setStorage(AbstractTexture* texture, GLenum target, GLsizei levels, TextureFormat internalFormat, const Math::Vector<1, GLsizei>& size) {
-        (texture->*storage1DImplementation)(target, levels, internalFormat, size);
-    }
+    static void setStorage(AbstractTexture* texture, GLenum target, GLsizei levels, TextureFormat internalFormat, const Math::Vector<1, GLsizei>& size);
 
     static void setImage(AbstractTexture* texture, GLenum target, GLint level, TextureFormat internalFormat, const ImageReference1D& image);
     static void setImage(AbstractTexture* texture, GLenum target, GLint level, TextureFormat internalFormat, BufferImage1D& image);
@@ -520,9 +463,7 @@ template<> struct MAGNUM_EXPORT AbstractTexture::DataHelper<1> {
     static void setSubImage(AbstractTexture* texture, GLenum target, GLint level, const Math::Vector<1, GLint>& offset, const ImageReference1D& image);
     static void setSubImage(AbstractTexture* texture, GLenum target, GLint level, const Math::Vector<1, GLint>& offset, BufferImage1D& image);
 
-    static void invalidateSubImage(AbstractTexture* texture, GLint level, const Math::Vector<1, GLint>& offset, const Math::Vector<1, GLint>& size) {
-        (texture->*invalidateSubImageImplementation)(level, {offset[0], 0, 0}, {size[0], 1, 1});
-    }
+    static void invalidateSubImage(AbstractTexture* texture, GLint level, const Math::Vector<1, GLint>& offset, const Math::Vector<1, GLint>& size);
 };
 #endif
 template<> struct MAGNUM_EXPORT AbstractTexture::DataHelper<2> {
@@ -543,9 +484,7 @@ template<> struct MAGNUM_EXPORT AbstractTexture::DataHelper<2> {
 
     static void setWrapping(AbstractTexture* texture, const Array2D<Sampler::Wrapping>& wrapping);
 
-    static void setStorage(AbstractTexture* texture, GLenum target, GLsizei levels, TextureFormat internalFormat, const Vector2i& size) {
-        (texture->*storage2DImplementation)(target, levels, internalFormat, size);
-    }
+    static void setStorage(AbstractTexture* texture, GLenum target, GLsizei levels, TextureFormat internalFormat, const Vector2i& size);
 
     static void setImage(AbstractTexture* texture, GLenum target, GLint level, TextureFormat internalFormat, const ImageReference2D& image);
     #ifndef MAGNUM_TARGET_GLES2
@@ -557,9 +496,7 @@ template<> struct MAGNUM_EXPORT AbstractTexture::DataHelper<2> {
     static void setSubImage(AbstractTexture* texture, GLenum target, GLint level, const Vector2i& offset, BufferImage2D& image);
     #endif
 
-    static void invalidateSubImage(AbstractTexture* texture, GLint level, const Vector2i& offset, const Vector2i& size) {
-        (texture->*invalidateSubImageImplementation)(level, {offset, 0}, {size, 1});
-    }
+    static void invalidateSubImage(AbstractTexture* texture, GLint level, const Vector2i& offset, const Vector2i& size);
 };
 template<> struct MAGNUM_EXPORT AbstractTexture::DataHelper<3> {
     enum class Target: GLenum {
@@ -582,9 +519,7 @@ template<> struct MAGNUM_EXPORT AbstractTexture::DataHelper<3> {
 
     static void setWrapping(AbstractTexture* texture, const Array3D<Sampler::Wrapping>& wrapping);
 
-    static void setStorage(AbstractTexture* texture, GLenum target, GLsizei levels, TextureFormat internalFormat, const Vector3i& size) {
-        (texture->*storage3DImplementation)(target, levels, internalFormat, size);
-    }
+    static void setStorage(AbstractTexture* texture, GLenum target, GLsizei levels, TextureFormat internalFormat, const Vector3i& size);
 
     static void setImage(AbstractTexture* texture, GLenum target, GLint level, TextureFormat internalFormat, const ImageReference3D& image);
     #ifndef MAGNUM_TARGET_GLES2
@@ -596,9 +531,7 @@ template<> struct MAGNUM_EXPORT AbstractTexture::DataHelper<3> {
     static void setSubImage(AbstractTexture* texture, GLenum target, GLint level, const Vector3i& offset, BufferImage3D& image);
     #endif
 
-    static void invalidateSubImage(AbstractTexture* texture, GLint level, const Vector3i& offset, const Vector3i& size) {
-        (texture->*invalidateSubImageImplementation)(level, offset, size);
-    }
+    static void invalidateSubImage(AbstractTexture* texture, GLint level, const Vector3i& offset, const Vector3i& size);
 };
 #endif
 
diff --git a/src/Magnum/BufferTexture.cpp b/src/Magnum/BufferTexture.cpp
index cf9df1ff8..4fbc8af09 100644
--- a/src/Magnum/BufferTexture.cpp
+++ b/src/Magnum/BufferTexture.cpp
@@ -35,9 +35,6 @@
 
 namespace Magnum {
 
-BufferTexture::SetBufferImplementation BufferTexture::setBufferImplementation = &BufferTexture::setBufferImplementationDefault;
-BufferTexture::SetBufferRangeImplementation BufferTexture::setBufferRangeImplementation = &BufferTexture::setBufferRangeImplementationDefault;
-
 Int BufferTexture::offsetAlignment() {
     if(!Context::current()->isExtensionSupported<Extensions::GL::ARB::texture_buffer_range>())
         return 0;
@@ -51,13 +48,12 @@ Int BufferTexture::offsetAlignment() {
     return value;
 }
 
-void BufferTexture::initializeContextBasedFunctionality(Context& context) {
-    if(context.isExtensionSupported<Extensions::GL::EXT::direct_state_access>()) {
-        Debug() << "BufferTexture: using" << Extensions::GL::EXT::direct_state_access::string() << "features";
+void BufferTexture::setBuffer(const BufferTextureFormat internalFormat, Buffer& buffer) {
+    (this->*Context::current()->state().texture->setBufferImplementation)(internalFormat, buffer);
+}
 
-        setBufferImplementation = &BufferTexture::setBufferImplementationDSA;
-        setBufferRangeImplementation = &BufferTexture::setBufferRangeImplementationDSA;
-    }
+void BufferTexture::setBuffer(const BufferTextureFormat internalFormat, Buffer& buffer, const GLintptr offset, const GLsizeiptr size) {
+    (this->*Context::current()->state().texture->setBufferRangeImplementation)(internalFormat, buffer, offset, size);
 }
 
 void BufferTexture::setBufferImplementationDefault(BufferTextureFormat internalFormat, Buffer& buffer) {
diff --git a/src/Magnum/BufferTexture.h b/src/Magnum/BufferTexture.h
index 3268e00d9..20a0a1ae6 100644
--- a/src/Magnum/BufferTexture.h
+++ b/src/Magnum/BufferTexture.h
@@ -200,7 +200,7 @@ and respective function documentation for more information.
 @requires_gl Texture buffers are not available in OpenGL ES.
 */
 class MAGNUM_EXPORT BufferTexture: private AbstractTexture {
-    friend class Context;
+    friend class Implementation::TextureState;
 
     public:
         /** @copydoc AbstractTexture::maxLabelLength() */
@@ -244,9 +244,7 @@ class MAGNUM_EXPORT BufferTexture: private AbstractTexture {
          * @see @fn_gl{ActiveTexture}, @fn_gl{BindTexture} and @fn_gl{TexBuffer}
          *      or @fn_gl_extension{TextureBuffer,EXT,direct_state_access}
          */
-        void setBuffer(BufferTextureFormat internalFormat, Buffer& buffer) {
-            (this->*setBufferImplementation)(internalFormat, buffer);
-        }
+        void setBuffer(BufferTextureFormat internalFormat, Buffer& buffer);
 
         /**
          * @brief Set texture buffer
@@ -262,22 +260,14 @@ class MAGNUM_EXPORT BufferTexture: private AbstractTexture {
          * @see @fn_gl{ActiveTexture}, @fn_gl{BindTexture} and @fn_gl{TexBufferRange}
          *      or @fn_gl_extension{TextureBufferRange,EXT,direct_state_access}
          */
-        void setBuffer(BufferTextureFormat internalFormat, Buffer& buffer, GLintptr offset, GLsizeiptr size) {
-            (this->*setBufferRangeImplementation)(internalFormat, buffer, offset, size);
-        }
+        void setBuffer(BufferTextureFormat internalFormat, Buffer& buffer, GLintptr offset, GLsizeiptr size);
 
     private:
-        static void MAGNUM_LOCAL initializeContextBasedFunctionality(Context& context);
-
-        typedef void(BufferTexture::*SetBufferImplementation)(BufferTextureFormat, Buffer&);
         void MAGNUM_LOCAL setBufferImplementationDefault(BufferTextureFormat internalFormat, Buffer& buffer);
         void MAGNUM_LOCAL setBufferImplementationDSA(BufferTextureFormat internalFormat, Buffer& buffer);
-        static SetBufferImplementation setBufferImplementation;
 
-        typedef void(BufferTexture::*SetBufferRangeImplementation)(BufferTextureFormat, Buffer&, GLintptr, GLsizeiptr);
         void MAGNUM_LOCAL setBufferRangeImplementationDefault(BufferTextureFormat internalFormat, Buffer& buffer, GLintptr offset, GLsizeiptr size);
         void MAGNUM_LOCAL setBufferRangeImplementationDSA(BufferTextureFormat internalFormat, Buffer& buffer, GLintptr offset, GLsizeiptr size);
-        static SetBufferRangeImplementation setBufferRangeImplementation;
 };
 
 }
diff --git a/src/Magnum/Context.cpp b/src/Magnum/Context.cpp
index 732c57e4c..6ca77d85e 100644
--- a/src/Magnum/Context.cpp
+++ b/src/Magnum/Context.cpp
@@ -449,11 +449,7 @@ Context::Context() {
 
     /* Initialize functionality based on current OpenGL version and extensions */
     AbstractShaderProgram::initializeContextBasedFunctionality(*this);
-    AbstractTexture::initializeContextBasedFunctionality(*this);
     Buffer::initializeContextBasedFunctionality(*this);
-    #ifndef MAGNUM_TARGET_GLES
-    BufferTexture::initializeContextBasedFunctionality(*this);
-    #endif
     DefaultFramebuffer::initializeContextBasedFunctionality(*this);
     Mesh::initializeContextBasedFunctionality(*this);
     Renderer::initializeContextBasedFunctionality(*this);
diff --git a/src/Magnum/Implementation/State.cpp b/src/Magnum/Implementation/State.cpp
index 5ff69fd5d..85fc0721a 100644
--- a/src/Magnum/Implementation/State.cpp
+++ b/src/Magnum/Implementation/State.cpp
@@ -58,7 +58,7 @@ State::State(Context& context) {
     renderer = new RendererState;
     shader = new ShaderState;
     shaderProgram = new ShaderProgramState;
-    texture = new TextureState;
+    texture = new TextureState(context, extensions);
 
     /* Sort the features and remove duplicates */
     std::sort(extensions.begin(), extensions.end());
diff --git a/src/Magnum/Implementation/TextureState.cpp b/src/Magnum/Implementation/TextureState.cpp
index 7f07c4664..7bc771d66 100644
--- a/src/Magnum/Implementation/TextureState.cpp
+++ b/src/Magnum/Implementation/TextureState.cpp
@@ -25,13 +25,144 @@
 
 #include "TextureState.h"
 
+#include "Magnum/AbstractTexture.h"
+#ifndef MAGNUM_TARGET_GLES
+#include "Magnum/BufferTexture.h"
+#endif
+#include "Magnum/Context.h"
+#include "Magnum/Extensions.h"
+
 namespace Magnum { namespace Implementation {
 
-TextureState::TextureState(): maxMaxAnisotropy(0.0f), currentLayer(0)
+TextureState::TextureState(Context& context, std::vector<std::string>& extensions): maxMaxAnisotropy(0.0f), currentLayer(0)
     #ifndef MAGNUM_TARGET_GLES
     , maxColorSamples(0), maxDepthSamples(0), maxIntegerSamples(0), bufferOffsetAlignment(0)
     #endif
-    {}
+{
+    /* DSA/non-DSA implementation */
+    #ifndef MAGNUM_TARGET_GLES
+    if(context.isExtensionSupported<Extensions::GL::EXT::direct_state_access>()) {
+        extensions.push_back(Extensions::GL::EXT::direct_state_access::string());
+
+        bindImplementation = &AbstractTexture::bindImplementationDSA;
+        parameteriImplementation = &AbstractTexture::parameterImplementationDSA;
+        parameterfImplementation = &AbstractTexture::parameterImplementationDSA;
+        parameterfvImplementation = &AbstractTexture::parameterImplementationDSA;
+        getLevelParameterivImplementation = &AbstractTexture::getLevelParameterImplementationDSA;
+        mipmapImplementation = &AbstractTexture::mipmapImplementationDSA;
+        getImageImplementation = &AbstractTexture::getImageImplementationDSA;
+        image1DImplementation = &AbstractTexture::imageImplementationDSA;
+        image2DImplementation = &AbstractTexture::imageImplementationDSA;
+        image3DImplementation = &AbstractTexture::imageImplementationDSA;
+        subImage1DImplementation = &AbstractTexture::subImageImplementationDSA;
+        subImage2DImplementation = &AbstractTexture::subImageImplementationDSA;
+        subImage3DImplementation = &AbstractTexture::subImageImplementationDSA;
+
+        setBufferImplementation = &BufferTexture::setBufferImplementationDSA;
+        setBufferRangeImplementation = &BufferTexture::setBufferRangeImplementationDSA;
+    } else
+    #endif
+    {
+        bindImplementation = &AbstractTexture::bindImplementationDefault;
+        parameteriImplementation = &AbstractTexture::parameterImplementationDefault;
+        parameterfImplementation = &AbstractTexture::parameterImplementationDefault;
+        parameterfvImplementation = &AbstractTexture::parameterImplementationDefault;
+        #ifndef MAGNUM_TARGET_GLES
+        getLevelParameterivImplementation = &AbstractTexture::getLevelParameterImplementationDefault;
+        #endif
+        mipmapImplementation = &AbstractTexture::mipmapImplementationDefault;
+        #ifndef MAGNUM_TARGET_GLES
+        getImageImplementation = &AbstractTexture::getImageImplementationDefault;
+        image1DImplementation = &AbstractTexture::imageImplementationDefault;
+        #endif
+        image2DImplementation = &AbstractTexture::imageImplementationDefault;
+        image3DImplementation = &AbstractTexture::imageImplementationDefault;
+        #ifndef MAGNUM_TARGET_GLES
+        subImage1DImplementation = &AbstractTexture::subImageImplementationDefault;
+        #endif
+        subImage2DImplementation = &AbstractTexture::subImageImplementationDefault;
+        subImage3DImplementation = &AbstractTexture::subImageImplementationDefault;
+
+        #ifndef MAGNUM_TARGET_GLES
+        setBufferImplementation = &BufferTexture::setBufferImplementationDefault;
+        setBufferRangeImplementation = &BufferTexture::setBufferRangeImplementationDefault;
+        #endif
+    }
+
+    /* Data invalidation implementation */
+    #ifndef MAGNUM_TARGET_GLES
+    if(context.isExtensionSupported<Extensions::GL::ARB::invalidate_subdata>()) {
+        extensions.push_back(Extensions::GL::ARB::invalidate_subdata::string());
+
+        invalidateImageImplementation = &AbstractTexture::invalidateImageImplementationARB;
+        invalidateSubImageImplementation = &AbstractTexture::invalidateSubImageImplementationARB;
+    } else
+    #endif
+    {
+        invalidateImageImplementation = &AbstractTexture::invalidateImageImplementationNoOp;
+        invalidateSubImageImplementation = &AbstractTexture::invalidateSubImageImplementationNoOp;
+    }
+
+    /* Image retrieval implementation */
+    #ifndef MAGNUM_TARGET_GLES
+    if(context.isExtensionSupported<Extensions::GL::ARB::robustness>() &&
+       !context.isExtensionSupported<Extensions::GL::EXT::direct_state_access>()) {
+        extensions.push_back(Extensions::GL::ARB::robustness::string());
+
+        getImageImplementation = &AbstractTexture::getImageImplementationRobustness;
+    } else getImageImplementation = &AbstractTexture::getImageImplementationDefault;
+    #endif
+
+    /* Texture storage implementation */
+    #ifndef MAGNUM_TARGET_GLES2
+    #ifndef MAGNUM_TARGET_GLES
+    if(context.isExtensionSupported<Extensions::GL::ARB::texture_storage>())
+    #endif
+    {
+        #ifndef MAGNUM_TARGET_GLES
+        extensions.push_back(Extensions::GL::ARB::texture_storage::string());
+        #endif
+
+        #ifndef MAGNUM_TARGET_GLES
+        if(context.isExtensionSupported<Extensions::GL::EXT::direct_state_access>()) {
+            storage1DImplementation = &AbstractTexture::storageImplementationDSA;
+            storage2DImplementation = &AbstractTexture::storageImplementationDSA;
+            storage3DImplementation = &AbstractTexture::storageImplementationDSA;
+        } else
+        #endif
+        {
+            #ifndef MAGNUM_TARGET_GLES
+            storage1DImplementation = &AbstractTexture::storageImplementationDefault;
+            #endif
+            storage2DImplementation = &AbstractTexture::storageImplementationDefault;
+            storage3DImplementation = &AbstractTexture::storageImplementationDefault;
+        }
+    }
+    #endif
+    #ifndef MAGNUM_TARGET_GLES3
+    #ifndef MAGNUM_TARGET_GLES
+    else
+    #endif
+    {
+        #ifndef MAGNUM_TARGET_GLES
+        storage1DImplementation = &AbstractTexture::storageImplementationFallback;
+        #endif
+        storage2DImplementation = &AbstractTexture::storageImplementationFallback;
+        storage3DImplementation = &AbstractTexture::storageImplementationFallback;
+    }
+    #endif
+
+    /* Anisotropic filter implementation */
+    if(context.isExtensionSupported<Extensions::GL::EXT::texture_filter_anisotropic>()) {
+        extensions.push_back(Extensions::GL::EXT::texture_filter_anisotropic::string());
+
+        setMaxAnisotropyImplementation = &AbstractTexture::setMaxAnisotropyImplementationExt;
+    } else setMaxAnisotropyImplementation = &AbstractTexture::setMaxAnisotropyImplementationNoOp;
+
+    /* Resize bindings array to hold all possible layers */
+    glGetIntegerv(GL_MAX_COMBINED_TEXTURE_IMAGE_UNITS, &maxLayers);
+    bindings.resize(maxLayers);
+}
 
 TextureState::~TextureState() = default;
 
diff --git a/src/Magnum/Implementation/TextureState.h b/src/Magnum/Implementation/TextureState.h
index 6eb4cbe23..3b766becb 100644
--- a/src/Magnum/Implementation/TextureState.h
+++ b/src/Magnum/Implementation/TextureState.h
@@ -25,16 +25,50 @@
     DEALINGS IN THE SOFTWARE.
 */
 
+#include <string>
 #include <vector>
 
+#include "Magnum/Magnum.h"
 #include "Magnum/OpenGL.h"
 
 namespace Magnum { namespace Implementation {
 
 struct TextureState {
-    explicit TextureState();
+    explicit TextureState(Context& context, std::vector<std::string>& extensions);
     ~TextureState();
 
+    void(AbstractTexture::*bindImplementation)(GLint);
+    void(AbstractTexture::*parameteriImplementation)(GLenum, GLint);
+    void(AbstractTexture::*parameterfImplementation)(GLenum, GLfloat);
+    void(AbstractTexture::*parameterfvImplementation)(GLenum, const GLfloat*);
+    void(AbstractTexture::*setMaxAnisotropyImplementation)(GLfloat);
+    void(AbstractTexture::*getLevelParameterivImplementation)(GLenum, GLint, GLenum, GLint*);
+    void(AbstractTexture::*mipmapImplementation)();
+    #ifndef MAGNUM_TARGET_GLES
+    void(AbstractTexture::*storage1DImplementation)(GLenum, GLsizei, TextureFormat, const Math::Vector<1, GLsizei>&);
+    #endif
+    void(AbstractTexture::*storage2DImplementation)(GLenum, GLsizei, TextureFormat, const Vector2i&);
+    void(AbstractTexture::*storage3DImplementation)(GLenum, GLsizei, TextureFormat, const Vector3i&);
+    #ifndef MAGNUM_TARGET_GLES
+    void(AbstractTexture::*getImageImplementation)(GLenum, GLint, ColorFormat, ColorType, std::size_t, GLvoid*);
+    void(AbstractTexture::*image1DImplementation)(GLenum, GLint, TextureFormat, const Math::Vector<1, GLsizei>&, ColorFormat, ColorType, const GLvoid*);
+    #endif
+    void(AbstractTexture::*image2DImplementation)(GLenum, GLint, TextureFormat, const Vector2i&, ColorFormat, ColorType, const GLvoid*);
+    void(AbstractTexture::*image3DImplementation)(GLenum, GLint, TextureFormat, const Vector3i&, ColorFormat, ColorType, const GLvoid*);
+    #ifndef MAGNUM_TARGET_GLES
+    void(AbstractTexture::*subImage1DImplementation)(GLenum, GLint, const Math::Vector<1, GLint>&, const Math::Vector<1, GLsizei>&, ColorFormat, ColorType, const GLvoid*);
+    #endif
+    void(AbstractTexture::*subImage2DImplementation)(GLenum, GLint, const Vector2i&, const Vector2i&, ColorFormat, ColorType, const GLvoid*);
+    void(AbstractTexture::*subImage3DImplementation)(GLenum, GLint, const Vector3i&, const Vector3i&, ColorFormat, ColorType, const GLvoid*);
+    void(AbstractTexture::*invalidateImageImplementation)(GLint);
+    void(AbstractTexture::*invalidateSubImageImplementation)(GLint, const Vector3i&, const Vector3i&);
+
+    #ifndef MAGNUM_TARGET_GLES
+    void(BufferTexture::*setBufferImplementation)(BufferTextureFormat, Buffer&);
+    void(BufferTexture::*setBufferRangeImplementation)(BufferTextureFormat, Buffer&, GLintptr, GLsizeiptr);
+    #endif
+
+    GLint maxLayers;
     GLfloat maxMaxAnisotropy;
     GLint currentLayer;
     #ifndef MAGNUM_TARGET_GLES