COMPMID-579: Port Derivative to new validation

Change-Id: Iecbfa3ebab890c778fb475403466d6fb168e9968
Reviewed-on: https://eu-gerrit-1.euhpc.arm.com/113357
Reviewed-by: Georgios Pinitas <georgios.pinitas@arm.com>
Tested-by: Jenkins <bsgcomp@arm.com>

7 files changed, 520 insertions, 4 deletions

diff --git a/src/core/CL/kernels/CLDerivativeKernel.cpp b/src/core/CL/kernels/CLDerivativeKernel.cpp
index 36ba06d528..5bfe75140b 100644
--- a/src/core/CL/kernels/CLDerivativeKernel.cpp
+++ b/src/core/CL/kernels/CLDerivativeKernel.cpp
@@ -96,11 +96,13 @@ void CLDerivativeKernel::configure(const ICLTensor *input, ICLTensor *output_x,
     AccessWindowHorizontal output_y_access(output_y == nullptr ? nullptr : output_y->info(), 0, num_elems_processed_per_iteration);
     if(_run_derivative_x && _run_derivative_y)
     {
-        input_access = AccessWindowRectangle(input->info(), -border_size().left, -border_size().top, num_elems_processed_per_iteration, num_read_rows_per_iteration);
+        // TODO(COMPMID-415) Fix x-access input bug in CL kernel instead of '+2'
+        input_access = AccessWindowRectangle(input->info(), -border_size().left, -border_size().top, num_elems_processed_per_iteration + 2, num_read_rows_per_iteration);
     }
     else if(_run_derivative_x)
     {
-        input_access = AccessWindowHorizontal(input->info(), -border_size().left, num_elems_processed_per_iteration);
+        // TODO(COMPMID-415) Fix x-access input bug in CL kernel instead of '+2'
+        input_access = AccessWindowHorizontal(input->info(), -border_size().left, num_elems_processed_per_iteration + 2);
     }
     else if(_run_derivative_y)
     {
diff --git a/src/core/NEON/kernels/NEDerivativeKernel.cpp b/src/core/NEON/kernels/NEDerivativeKernel.cpp
index a5680ebbf9..1e0397ddb2 100644
--- a/src/core/NEON/kernels/NEDerivativeKernel.cpp
+++ b/src/core/NEON/kernels/NEDerivativeKernel.cpp
@@ -80,9 +80,13 @@ void NEDerivativeKernel::configure(const ITensor *input, ITensor *output_x, ITen
 
     AccessWindowHorizontal out_x_access(output_x == nullptr ? nullptr : output_x->info(), 0, num_elems_processed_per_iteration);
     AccessWindowHorizontal out_y_access(output_y == nullptr ? nullptr : output_y->info(), 0, num_elems_processed_per_iteration);
-    AccessWindowHorizontal in_x_access(input->info(), -border_size().left, num_elems_processed_per_iteration);
+
+    // TODO(COMPMID-415) Fix x-access input bug in NEON kernel instead of '+2'
+    AccessWindowHorizontal in_x_access(input->info(), -border_size().left, num_elems_processed_per_iteration + 2);
     AccessWindowRectangle  in_y_access(input->info(), 0, -border_size().left, num_elems_processed_per_iteration, num_rows_read_per_iteration);
-    AccessWindowRectangle  in_xy_access(input->info(), -border_size().left, -border_size().top, num_elems_processed_per_iteration, num_rows_read_per_iteration);
+
+    // TODO(COMPMID-415) Fix x-access input bug in NEON kernel instead of '+2'
+    AccessWindowRectangle in_xy_access(input->info(), -border_size().left, -border_size().top, num_elems_processed_per_iteration + 2, num_rows_read_per_iteration);
 
     if(run_der_x && run_der_y)
     {
diff --git a/tests/validation/CL/Derivative.cpp b/tests/validation/CL/Derivative.cpp
new file mode 100644
index 0000000000..5ee23cb619
--- /dev/null
+++ b/tests/validation/CL/Derivative.cpp
@@ -0,0 +1,111 @@
+/*
+ * Copyright (c) 2017 ARM Limited.
+ *
+ * SPDX-License-Identifier: MIT
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to
+ * deal in the Software without restriction, including without limitation the
+ * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
+ * sell copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in all
+ * copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+
+#include "arm_compute/runtime/CL/functions/CLDerivative.h"
+#include "tests/CL/CLAccessor.h"
+#include "tests/PaddingCalculator.h"
+#include "tests/datasets/BorderModeDataset.h"
+#include "tests/datasets/GradientDimensionDataset.h"
+#include "tests/datasets/ShapeDatasets.h"
+#include "tests/framework/Macros.h"
+#include "tests/framework/datasets/Datasets.h"
+#include "tests/validation/Validation.h"
+#include "tests/validation/fixtures/DerivativeFixture.h"
+
+namespace arm_compute
+{
+namespace test
+{
+namespace validation
+{
+TEST_SUITE(CL)
+TEST_SUITE(Derivative)
+
+using CLDerivativeFixture = DerivativeValidationFixture<CLTensor, CLAccessor, CLDerivative, uint8_t, int16_t>;
+
+DATA_TEST_CASE(Configuration, framework::DatasetMode::ALL, combine(combine(concat(datasets::Small2DShapes(), datasets::Large2DShapes()), datasets::BorderModes()), framework::dataset::make("Format",
+                                                                   Format::U8)),
+               shape, border_mode, format)
+{
+    // Generate a random constant value
+    std::mt19937                           gen(library->seed());
+    std::uniform_int_distribution<uint8_t> int_dist(0, 255);
+    const uint8_t                          constant_border_value = int_dist(gen);
+
+    // Create tensors
+    CLTensor src   = create_tensor<CLTensor>(shape, data_type_from_format(format));
+    CLTensor dst_x = create_tensor<CLTensor>(shape, DataType::S16);
+    CLTensor dst_y = create_tensor<CLTensor>(shape, DataType::S16);
+
+    src.info()->set_format(format);
+    dst_x.info()->set_format(Format::S16);
+    dst_y.info()->set_format(Format::S16);
+
+    ARM_COMPUTE_EXPECT(src.info()->is_resizable(), framework::LogLevel::ERRORS);
+    ARM_COMPUTE_EXPECT(dst_x.info()->is_resizable(), framework::LogLevel::ERRORS);
+    ARM_COMPUTE_EXPECT(dst_y.info()->is_resizable(), framework::LogLevel::ERRORS);
+
+    // Create Derivative configure function
+    CLDerivative derivative;
+    derivative.configure(&src, &dst_x, &dst_y, border_mode, constant_border_value);
+
+    // Validate valid region
+    constexpr BorderSize border_size{ 1 };
+    const ValidRegion    dst_valid_region = shape_to_valid_region(shape, border_mode == BorderMode::UNDEFINED, border_size);
+
+    validate(dst_x.info()->valid_region(), dst_valid_region);
+    validate(dst_y.info()->valid_region(), dst_valid_region);
+
+    // TODO(COMPMID-415) Validate padding after fixing x-access input bug in CL kernel
+}
+
+FIXTURE_DATA_TEST_CASE(RunSmall, CLDerivativeFixture, framework::DatasetMode::PRECOMMIT, combine(combine(combine(datasets::Small2DShapes(), datasets::BorderModes()), framework::dataset::make("Format",
+                                                                                                         Format::U8)),
+                                                                                                 datasets::GradientDimensions()))
+{
+    // Validate output
+    ValidRegion valid_region_x = shape_to_valid_region(_reference.first.shape(), (_border_mode == BorderMode::UNDEFINED), BorderSize(1));
+    validate(CLAccessor(_target.first), _reference.first, valid_region_x);
+
+    ValidRegion valid_region_y = shape_to_valid_region(_reference.second.shape(), (_border_mode == BorderMode::UNDEFINED), BorderSize(1));
+    validate(CLAccessor(_target.second), _reference.second, valid_region_y);
+}
+
+FIXTURE_DATA_TEST_CASE(RunLarge, CLDerivativeFixture, framework::DatasetMode::NIGHTLY, combine(combine(combine(datasets::Large2DShapes(), datasets::BorderModes()), framework::dataset::make("Format",
+                                                                                                       Format::U8)),
+                                                                                               datasets::GradientDimensions()))
+{
+    // Validate output
+    ValidRegion valid_region_x = shape_to_valid_region(_reference.first.shape(), (_border_mode == BorderMode::UNDEFINED), BorderSize(1));
+    validate(CLAccessor(_target.first), _reference.first, valid_region_x);
+
+    ValidRegion valid_region_y = shape_to_valid_region(_reference.second.shape(), (_border_mode == BorderMode::UNDEFINED), BorderSize(1));
+    validate(CLAccessor(_target.second), _reference.second, valid_region_y);
+}
+
+TEST_SUITE_END()
+TEST_SUITE_END()
+} // namespace validation
+} // namespace test
+} // namespace arm_compute
diff --git a/tests/validation/NEON/Derivative.cpp b/tests/validation/NEON/Derivative.cpp
new file mode 100644
index 0000000000..7cc6f82048
--- /dev/null
+++ b/tests/validation/NEON/Derivative.cpp
@@ -0,0 +1,111 @@
+/*
+ * Copyright (c) 2017 ARM Limited.
+ *
+ * SPDX-License-Identifier: MIT
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to
+ * deal in the Software without restriction, including without limitation the
+ * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
+ * sell copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in all
+ * copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+
+#include "arm_compute/runtime/NEON/functions/NEDerivative.h"
+#include "tests/NEON/Accessor.h"
+#include "tests/PaddingCalculator.h"
+#include "tests/datasets/BorderModeDataset.h"
+#include "tests/datasets/GradientDimensionDataset.h"
+#include "tests/datasets/ShapeDatasets.h"
+#include "tests/framework/Macros.h"
+#include "tests/framework/datasets/Datasets.h"
+#include "tests/validation/Validation.h"
+#include "tests/validation/fixtures/DerivativeFixture.h"
+
+namespace arm_compute
+{
+namespace test
+{
+namespace validation
+{
+TEST_SUITE(NEON)
+TEST_SUITE(Derivative)
+
+using NEDerivativeFixture = DerivativeValidationFixture<Tensor, Accessor, NEDerivative, uint8_t, int16_t>;
+
+DATA_TEST_CASE(Configuration, framework::DatasetMode::ALL, combine(combine(concat(datasets::Small2DShapes(), datasets::Large2DShapes()), datasets::BorderModes()), framework::dataset::make("Format",
+                                                                   Format::U8)),
+               shape, border_mode, format)
+{
+    // Generate a random constant value
+    std::mt19937                           gen(library->seed());
+    std::uniform_int_distribution<uint8_t> int_dist(0, 255);
+    const uint8_t                          constant_border_value = int_dist(gen);
+
+    // Create tensors
+    Tensor src   = create_tensor<Tensor>(shape, data_type_from_format(format));
+    Tensor dst_x = create_tensor<Tensor>(shape, DataType::S16);
+    Tensor dst_y = create_tensor<Tensor>(shape, DataType::S16);
+
+    src.info()->set_format(format);
+    dst_x.info()->set_format(Format::S16);
+    dst_y.info()->set_format(Format::S16);
+
+    ARM_COMPUTE_EXPECT(src.info()->is_resizable(), framework::LogLevel::ERRORS);
+    ARM_COMPUTE_EXPECT(dst_x.info()->is_resizable(), framework::LogLevel::ERRORS);
+    ARM_COMPUTE_EXPECT(dst_y.info()->is_resizable(), framework::LogLevel::ERRORS);
+
+    // Create Derivative configure function
+    NEDerivative derivative;
+    derivative.configure(&src, &dst_x, &dst_y, border_mode, constant_border_value);
+
+    // Validate valid region
+    constexpr BorderSize border_size{ 1 };
+    const ValidRegion    dst_valid_region = shape_to_valid_region(shape, border_mode == BorderMode::UNDEFINED, border_size);
+
+    validate(dst_x.info()->valid_region(), dst_valid_region);
+    validate(dst_y.info()->valid_region(), dst_valid_region);
+
+    // TODO(COMPMID-415) Validate padding after fixing x-access input bug in NEON kernel
+}
+
+FIXTURE_DATA_TEST_CASE(RunSmall, NEDerivativeFixture, framework::DatasetMode::PRECOMMIT, combine(combine(combine(datasets::Small2DShapes(), datasets::BorderModes()), framework::dataset::make("Format",
+                                                                                                         Format::U8)),
+                                                                                                 datasets::GradientDimensions()))
+{
+    // Validate output
+    ValidRegion valid_region_x = shape_to_valid_region(_reference.first.shape(), (_border_mode == BorderMode::UNDEFINED), BorderSize(1));
+    validate(Accessor(_target.first), _reference.first, valid_region_x);
+
+    ValidRegion valid_region_y = shape_to_valid_region(_reference.second.shape(), (_border_mode == BorderMode::UNDEFINED), BorderSize(1));
+    validate(Accessor(_target.second), _reference.second, valid_region_y);
+}
+
+FIXTURE_DATA_TEST_CASE(RunLarge, NEDerivativeFixture, framework::DatasetMode::NIGHTLY, combine(combine(combine(datasets::Large2DShapes(), datasets::BorderModes()), framework::dataset::make("Format",
+                                                                                                       Format::U8)),
+                                                                                               datasets::GradientDimensions()))
+{
+    // Validate output
+    ValidRegion valid_region_x = shape_to_valid_region(_reference.first.shape(), (_border_mode == BorderMode::UNDEFINED), BorderSize(1));
+    validate(Accessor(_target.first), _reference.first, valid_region_x);
+
+    ValidRegion valid_region_y = shape_to_valid_region(_reference.second.shape(), (_border_mode == BorderMode::UNDEFINED), BorderSize(1));
+    validate(Accessor(_target.second), _reference.second, valid_region_y);
+}
+
+TEST_SUITE_END()
+TEST_SUITE_END()
+} // namespace validation
+} // namespace test
+} // namespace arm_compute
diff --git a/tests/validation/fixtures/DerivativeFixture.h b/tests/validation/fixtures/DerivativeFixture.h
new file mode 100644
index 0000000000..2df3340e41
--- /dev/null
+++ b/tests/validation/fixtures/DerivativeFixture.h
@@ -0,0 +1,142 @@
+/*
+ * Copyright (c) 2017 ARM Limited.
+ *
+ * SPDX-License-Identifier: MIT
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to
+ * deal in the Software without restriction, including without limitation the
+ * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
+ * sell copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in all
+ * copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+#ifndef ARM_COMPUTE_TEST_DERIVATIVE_FIXTURE
+#define ARM_COMPUTE_TEST_DERIVATIVE_FIXTURE
+
+#include "tests/Globals.h"
+#include "tests/IAccessor.h"
+#include "tests/Types.h"
+#include "tests/framework/Asserts.h"
+#include "tests/framework/Fixture.h"
+#include "tests/validation/reference/Derivative.h"
+
+#include <memory>
+
+namespace arm_compute
+{
+namespace test
+{
+namespace validation
+{
+template <typename TensorType, typename AccessorType, typename FunctionType, typename T, typename U>
+class DerivativeValidationFixture : public framework::Fixture
+{
+public:
+    template <typename...>
+    void setup(TensorShape shape, BorderMode border_mode, Format format, GradientDimension gradient_dimension)
+    {
+        // Generate a random constant value
+        std::mt19937                           gen(library->seed());
+        std::uniform_int_distribution<uint8_t> int_dist(0, 255);
+        const uint8_t                          constant_border_value = int_dist(gen);
+
+        _border_mode = border_mode;
+        _target      = compute_target(shape, border_mode, format, constant_border_value, gradient_dimension);
+        _reference   = compute_reference(shape, border_mode, format, constant_border_value, gradient_dimension);
+    }
+
+protected:
+    template <typename V>
+    void fill(V &&tensor)
+    {
+        library->fill_tensor_uniform(tensor, 0);
+    }
+
+    template <typename V>
+    void fill_zero(V &&tensor)
+    {
+        library->fill_tensor_uniform(tensor, 0, static_cast<U>(0), static_cast<U>(0));
+    }
+
+    std::pair<TensorType, TensorType> compute_target(const TensorShape &shape, BorderMode border_mode, Format format, uint8_t constant_border_value, GradientDimension gradient_dimension)
+    {
+        // Create tensors
+        TensorType src   = create_tensor<TensorType>(shape, data_type_from_format(format));
+        TensorType dst_x = create_tensor<TensorType>(shape, data_type_from_format(Format::S16));
+        TensorType dst_y = create_tensor<TensorType>(shape, data_type_from_format(Format::S16));
+
+        src.info()->set_format(format);
+        dst_x.info()->set_format(Format::S16);
+        dst_y.info()->set_format(Format::S16);
+
+        FunctionType derivative;
+
+        switch(gradient_dimension)
+        {
+            case GradientDimension::GRAD_X:
+                derivative.configure(&src, &dst_x, nullptr, border_mode, constant_border_value);
+                break;
+            case GradientDimension::GRAD_Y:
+                derivative.configure(&src, nullptr, &dst_y, border_mode, constant_border_value);
+                break;
+            case GradientDimension::GRAD_XY:
+                derivative.configure(&src, &dst_x, &dst_y, border_mode, constant_border_value);
+                break;
+            default:
+                ARM_COMPUTE_ERROR("Gradient dimension not supported");
+        }
+
+        ARM_COMPUTE_EXPECT(src.info()->is_resizable(), framework::LogLevel::ERRORS);
+        ARM_COMPUTE_EXPECT(dst_x.info()->is_resizable(), framework::LogLevel::ERRORS);
+        ARM_COMPUTE_EXPECT(dst_y.info()->is_resizable(), framework::LogLevel::ERRORS);
+
+        // Allocate tensors
+        src.allocator()->allocate();
+        dst_x.allocator()->allocate();
+        dst_y.allocator()->allocate();
+
+        ARM_COMPUTE_EXPECT(!src.info()->is_resizable(), framework::LogLevel::ERRORS);
+        ARM_COMPUTE_EXPECT(!dst_x.info()->is_resizable(), framework::LogLevel::ERRORS);
+        ARM_COMPUTE_EXPECT(!dst_y.info()->is_resizable(), framework::LogLevel::ERRORS);
+
+        // Fill tensors
+        fill(AccessorType(src));
+        fill_zero(AccessorType(dst_x));
+        fill_zero(AccessorType(dst_y));
+
+        // Compute function
+        derivative.run();
+
+        return std::make_pair(std::move(dst_x), std::move(dst_y));
+    }
+
+    std::pair<SimpleTensor<U>, SimpleTensor<U>> compute_reference(const TensorShape &shape, BorderMode border_mode, Format format, uint8_t constant_border_value, GradientDimension gradient_dimension)
+    {
+        // Create reference
+        SimpleTensor<T> src{ shape, format };
+
+        // Fill reference
+        fill(src);
+
+        return reference::derivative<U>(src, border_mode, constant_border_value, gradient_dimension);
+    }
+
+    BorderMode _border_mode{ BorderMode::UNDEFINED };
+    std::pair<TensorType, TensorType>           _target{};
+    std::pair<SimpleTensor<U>, SimpleTensor<U>> _reference{};
+};
+} // namespace validation
+} // namespace test
+} // namespace arm_compute
+#endif /* ARM_COMPUTE_TEST_DERIVATIVE_FIXTURE */
diff --git a/tests/validation/reference/Derivative.cpp b/tests/validation/reference/Derivative.cpp
new file mode 100644
index 0000000000..0ef8fc276d
--- /dev/null
+++ b/tests/validation/reference/Derivative.cpp
@@ -0,0 +1,102 @@
+/*
+ * Copyright (c) 2017 ARM Limited.
+ *
+ * SPDX-License-Identifier: MIT
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to
+ * deal in the Software without restriction, including without limitation the
+ * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
+ * sell copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in all
+ * copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+#include "Derivative.h"
+
+#include "Utils.h"
+#include "tests/Types.h"
+
+#include <array>
+
+namespace arm_compute
+{
+namespace test
+{
+namespace validation
+{
+namespace reference
+{
+namespace
+{
+const std::array<int8_t, 9> derivative_3_x{ { 0, 0, 0, -1, 0, 1, 0, 0, 0 } };
+const std::array<int8_t, 9> derivative_3_y{ { 0, -1, 0, 0, 0, 0, 0, 1, 0 } };
+
+template <typename T>
+struct data_type;
+
+template <>
+struct data_type<int16_t>
+{
+    const static DataType value = DataType::S16;
+};
+} // namespace
+
+template <typename T, typename U>
+std::pair<SimpleTensor<T>, SimpleTensor<T>> derivative(const SimpleTensor<U> &src, BorderMode border_mode, uint8_t constant_border_value, GradientDimension gradient_dimension)
+{
+    const unsigned int filter_size = 3;
+
+    SimpleTensor<T> dst_x(src.shape(), data_type<T>::value, src.num_channels());
+    SimpleTensor<T> dst_y(src.shape(), data_type<T>::value, src.num_channels());
+
+    ValidRegion valid_region = shape_to_valid_region(src.shape(), border_mode == BorderMode::UNDEFINED, BorderSize(filter_size / 2));
+
+    for(int i = 0; i < src.num_elements(); ++i)
+    {
+        Coordinates coord = index2coord(src.shape(), i);
+
+        if(!is_in_valid_region(valid_region, coord))
+        {
+            continue;
+        }
+
+        switch(gradient_dimension)
+        {
+            case GradientDimension::GRAD_X:
+                apply_2d_spatial_filter(coord, src, dst_x, TensorShape{ filter_size, filter_size }, derivative_3_x.data(), 1.f, border_mode,
+                                        constant_border_value);
+                break;
+            case GradientDimension::GRAD_Y:
+                apply_2d_spatial_filter(coord, src, dst_y, TensorShape{ filter_size, filter_size }, derivative_3_y.data(), 1.f, border_mode,
+                                        constant_border_value);
+                break;
+            case GradientDimension::GRAD_XY:
+                apply_2d_spatial_filter(coord, src, dst_x, TensorShape{ filter_size, filter_size }, derivative_3_x.data(), 1.f, border_mode,
+                                        constant_border_value);
+                apply_2d_spatial_filter(coord, src, dst_y, TensorShape{ filter_size, filter_size }, derivative_3_y.data(), 1.f, border_mode,
+                                        constant_border_value);
+                break;
+            default:
+                ARM_COMPUTE_ERROR("Gradient dimension not supported");
+        }
+    }
+
+    return std::make_pair(dst_x, dst_y);
+}
+
+template std::pair<SimpleTensor<int16_t>, SimpleTensor<int16_t>> derivative(const SimpleTensor<uint8_t> &src, BorderMode border_mode, uint8_t constant_border_value,
+                                                                            GradientDimension gradient_dimension);
+} // namespace reference
+} // namespace validation
+} // namespace test
+} // namespace arm_compute
diff --git a/tests/validation/reference/Derivative.h b/tests/validation/reference/Derivative.h
new file mode 100644
index 0000000000..27664a7c90
--- /dev/null
+++ b/tests/validation/reference/Derivative.h
@@ -0,0 +1,44 @@
+/*
+ * Copyright (c) 2017 ARM Limited.
+ *
+ * SPDX-License-Identifier: MIT
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to
+ * deal in the Software without restriction, including without limitation the
+ * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
+ * sell copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in all
+ * copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+#ifndef __ARM_COMPUTE_TEST_DERIVATIVE_H__
+#define __ARM_COMPUTE_TEST_DERIVATIVE_H__
+
+#include "tests/SimpleTensor.h"
+#include "tests/Types.h"
+
+namespace arm_compute
+{
+namespace test
+{
+namespace validation
+{
+namespace reference
+{
+template <typename T, typename U>
+std::pair<SimpleTensor<T>, SimpleTensor<T>> derivative(const SimpleTensor<U> &src, BorderMode border_mode, uint8_t constant_border_value, GradientDimension gradient_dimension);
+} // namespace reference
+} // namespace validation
+} // namespace test
+} // namespace arm_compute
+#endif /* __ARM_COMPUTE_TEST_DERIVATIVE_H__ */