File: median.cpp

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/*******************************************************
 * Copyright (c) 2014, ArrayFire
 * All rights reserved.
 *
 * This file is distributed under 3-clause BSD license.
 * The complete license agreement can be obtained at:
 * http://arrayfire.com/licenses/BSD-3-Clause
 ********************************************************/

#include <gtest/gtest.h>
#include <af/array.h>
#include <af/arith.h>
#include <af/data.h>
#include <testHelpers.hpp>

using namespace af;
using std::vector;

template<typename Ti>
af::array generateArray(int nx, int ny, int nz, int nw)
{
    array a = randu(nx, ny, nz, nw, (af::dtype)dtype_traits<Ti>::af_type);
    return a;
}

template<>
af::array generateArray<int>(int nx, int ny, int nz, int nw)
{
    array a = (randu(nx, ny, nz, nw, (af::dtype)dtype_traits<float>::af_type) * 1e6).as(s32);
    return a;
}

template<>
af::array generateArray<unsigned int>(int nx, int ny, int nz, int nw)
{
    array a = (randu(nx, ny, nz, nw, (af::dtype)dtype_traits<float>::af_type) * 1e6).as(u32);
    return a;
}

template<typename To, typename Ti>
void median_flat(int nx, int ny=1, int nz=1, int nw=1)
{
    if (noDoubleTests<Ti>()) return;
    array a = generateArray<Ti>(nx, ny, nz, nw);

    // Verification
    array sa = sort(flat(a));
    dim_t mid = (sa.dims(0) + 1) / 2;

    To verify;

    To *h_sa = sa.as((af_dtype)af::dtype_traits<To>::af_type).host<To>();
    if(sa.dims(0) % 2 == 1) {
        verify = h_sa[mid - 1];
    } else {
        verify = (h_sa[mid - 1] + h_sa[mid]) / (To)2;
    }

    // Test Part
    To val = median<To>(a);

    ASSERT_EQ(verify, val);

    delete[] h_sa;
}

template<typename To, typename Ti, int dim>
void median_test(int nx, int ny=1, int nz=1, int nw=1)
{
    if (noDoubleTests<Ti>()) return;

    array a = generateArray<Ti>(nx, ny, nz, nw);

    // If selected dim is higher than input ndims, then return
    if(dim >= a.dims().ndims())
        return;

    array verify;

    // Verification
    array sa = sort(a, dim);

    double mid = (a.dims(dim) + 1) / 2;
    af::seq mSeq[4] = {span, span, span, span};
    mSeq[dim] = af::seq(mid, mid, 1.0);

    if(sa.dims(dim) % 2 == 1) {
        mSeq[dim] = mSeq[dim] - 1.0;
        verify = sa(mSeq[0], mSeq[1], mSeq[2], mSeq[3]);
    } else {
        dim_t sdim[4] = {0};
        sdim[dim] = 1;
        sa = sa.as((af_dtype)af::dtype_traits<To>::af_type);
        array sas = shift(sa, sdim[0], sdim[1], sdim[2], sdim[3]);
        verify = ((sa + sas) / 2)(mSeq[0], mSeq[1], mSeq[2], mSeq[3]);
    }

    // Test Part
    array out = median(a, dim);

    ASSERT_EQ(out.dims() == verify.dims(), true);
    ASSERT_NEAR(0, sum<double>(af::abs(out - verify)), 1e-5);
}

#define MEDIAN_FLAT(To, Ti)                     \
    TEST(MedianFlat, Ti##_flat_even)            \
    {                                           \
        median_flat<To, Ti>(1000);              \
    }                                           \
    TEST(MedianFlat, Ti##_flat_odd)             \
    {                                           \
        median_flat<To, Ti>(783);               \
    }                                           \
    TEST(MedianFlat, Ti##_flat_multi_even)      \
    {                                           \
        median_flat<To, Ti>(24, 11, 3);         \
    }                                           \
    TEST(MedianFlat, Ti##_flat_multi_odd)       \
    {                                           \
        median_flat<To, Ti>(15, 21, 7);         \
    }                                           \

MEDIAN_FLAT(float, float)
MEDIAN_FLAT(float, int)
MEDIAN_FLAT(float, uint)
MEDIAN_FLAT(float, uchar)
MEDIAN_FLAT(float, short)
MEDIAN_FLAT(float, ushort)
MEDIAN_FLAT(double, double)

#define MEDIAN_TEST(To, Ti, dim)                \
    TEST(Median, Ti##_1D_##dim##_even)          \
    {                                           \
        median_test<To, Ti, dim>(1000);         \
    }                                           \
    TEST(Median, Ti##_2D_##dim##_even)          \
    {                                           \
        median_test<To, Ti, dim>(1000, 25);     \
    }                                           \
    TEST(Median, Ti##_3D_##dim##_even)          \
    {                                           \
        median_test<To, Ti, dim>(100, 25, 4);   \
    }                                           \
    TEST(Median, Ti##_4D_##dim##_even)          \
    {                                           \
        median_test<To, Ti, dim>(100, 25, 2, 2);\
    }                                           \
    TEST(Median, Ti##_1D_##dim##_odd)           \
    {                                           \
        median_test<To, Ti, dim>(783);          \
    }                                           \
    TEST(Median, Ti##_2D_##dim##_odd)           \
    {                                           \
        median_test<To, Ti, dim>(783, 25);      \
    }                                           \
    TEST(Median, Ti##_3D_##dim##_odd)           \
    {                                           \
        median_test<To, Ti, dim>(123, 25, 3);   \
    }                                           \
    TEST(Median, Ti##_4D_##dim##_odd)           \
    {                                           \
        median_test<To, Ti, dim>(123, 25, 3, 3);\
    }                                           \


#define MEDIAN(To, Ti)      \
    MEDIAN_TEST(To, Ti, 0)  \
    MEDIAN_TEST(To, Ti, 1)  \
    MEDIAN_TEST(To, Ti, 2)  \
    MEDIAN_TEST(To, Ti, 3)  \

MEDIAN(float, float)
MEDIAN(float, int)
MEDIAN(float, uint)
MEDIAN(float, uchar)
MEDIAN(float, short)
MEDIAN(float, ushort)
MEDIAN(double, double)