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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 <testHelpers.hpp>
#include <af/algorithm.h>
#include <af/arith.h>
#include <af/array.h>
#include <af/data.h>
#include <af/device.h>
#include <af/random.h>
#include <af/statistics.h>
using af::array;
using af::dtype;
using af::dtype_traits;
using af::median;
using af::randu;
using af::seq;
using af::span;
using af::sum;
using std::vector;
template<typename Ti>
array generateArray(int nx, int ny, int nz, int nw) {
array a = randu(nx, ny, nz, nw, (dtype)dtype_traits<Ti>::af_type);
return a;
}
template<>
array generateArray<int>(int nx, int ny, int nz, int nw) {
array a = (randu(nx, ny, nz, nw, (dtype)dtype_traits<float>::af_type) * 1e6)
.as(s32);
return a;
}
template<>
array generateArray<unsigned int>(int nx, int ny, int nz, int nw) {
array a = (randu(nx, ny, nz, nw, (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) {
SUPPORTED_TYPE_CHECK(Ti);
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)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);
af_free_host(h_sa);
}
template<typename To, typename Ti, int dim>
void median_test(int nx, int ny = 1, int nz = 1, int nw = 1) {
SUPPORTED_TYPE_CHECK(Ti);
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;
seq mSeq[4] = {span, span, span, span};
mSeq[dim] = 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)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>(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)
TEST(Median, OneElement) {
af::array in = randu(1, f32);
af::array out = median(in);
ASSERT_ARRAYS_EQ(in, out);
}
TEST(Median, TwoElements) {
af::array in = randu(2, f32);
af::array out = median(in);
af::array gold = mean(in);
ASSERT_ARRAYS_EQ(gold, out);
}