libdpf/test/tests/easy_lut_test.cpp

#include <gtest/gtest.h>

#include "grotto/easy_lut.hpp"

#include <cstdint>
#include <limits>

namespace
{

std::int64_t round_div(__int128 num, __int128 den)
{
    const bool neg = num < 0;
    const __int128 mag = neg ? -num : num;
    const __int128 q = (mag + den / 2) / den;
    return static_cast<std::int64_t>(neg ? -q : q);
}

std::int64_t ref_abs(std::int64_t raw) { return raw < 0 ? -raw : raw; }
std::int64_t ref_relu(std::int64_t raw) { return raw < 0 ? 0 : raw; }

std::int64_t ref_clip(std::int64_t raw, std::int64_t low, std::int64_t high)
{
    if (raw < low)
        return low;
    if (raw > high)
        return high;
    return raw;
}

std::int64_t ref_hardsigmoid(std::int64_t raw, std::int64_t three, std::int64_t one)
{
    if (raw <= -three)
        return 0;
    if (raw >= three)
        return one;
    return round_div(raw + three, 6);
}

std::int64_t ref_hardswish(std::int64_t raw, std::int64_t three, std::int64_t den)
{
    if (raw <= -three)
        return 0;
    if (raw >= three)
        return raw;
    return round_div(__int128(raw) * (raw + three), den);
}

std::int64_t ref_sqrelu(std::int64_t raw, std::int64_t den)
{
    if (raw < 0)
        return 0;
    return round_div(__int128(raw) * raw, den);
}

std::int64_t ref_soft(std::int64_t raw, std::int64_t knot)
{
    if (raw > knot)
        return raw - knot;
    if (raw < -knot)
        return raw + knot;
    return 0;
}

std::int64_t ref_hardshrink(std::int64_t raw, std::int64_t knot)
{
    if (raw > knot || raw < -knot)
        return raw;
    return 0;
}

template <typename Raw, typename Fn>
void expect_all(const grotto::easy_lut<Raw> & lut, Fn && ref)
{
    using lim = std::numeric_limits<Raw>;
    for (std::int64_t raw = lim::min(); raw <= lim::max(); ++raw)
    {
        EXPECT_EQ(lut(static_cast<Raw>(raw)), ref(raw)) << raw;
        if (raw == lim::max())
            break;
    }
}

}  // namespace

TEST(EasyLut, FewPiecesAtEveryPrecision)
{
    EXPECT_EQ((grotto::make_abs_lut<std::int16_t>().parts()), 2u);
    EXPECT_EQ((grotto::make_relu_lut<std::int16_t>().parts()), 2u);
    EXPECT_EQ((grotto::make_squared_relu_lut<std::int16_t>(0).parts()), 2u);
    EXPECT_EQ((grotto::make_leaky_relu_lut<std::int16_t>(0).parts()), 1u);
    EXPECT_EQ((grotto::make_leaky_relu_lut<std::int16_t>(3).parts()), 2u);
    EXPECT_EQ((grotto::make_leaky_relu_hundredth_lut<std::int16_t>().parts()), 2u);

    for (unsigned fractional_bits : {0u, 2u, 4u})
    {
        EXPECT_EQ((grotto::make_relu6_lut<std::int16_t>(fractional_bits).parts()), 3u);
        EXPECT_EQ((grotto::make_hardtanh_lut<std::int16_t>(fractional_bits).parts()), 3u);
        EXPECT_EQ((grotto::make_softshrink_lut<std::int16_t>(fractional_bits).parts()), 3u);
        EXPECT_EQ((grotto::make_hardshrink_lut<std::int16_t>(fractional_bits).parts()), 3u);
        EXPECT_EQ((grotto::make_hardsigmoid_lut<std::int16_t>(fractional_bits).parts()), 3u);
        EXPECT_EQ((grotto::make_hardswish_lut<std::int16_t>(fractional_bits).parts()), 3u);
    }

    // On int8 with 7 fractional bits, ±1 and ±3 lie outside the domain.
    EXPECT_EQ((grotto::make_hardtanh_lut<std::int8_t>(7).parts()), 1u);
    EXPECT_EQ((grotto::make_hardsigmoid_lut<std::int8_t>(7).parts()), 1u);
}

TEST(EasyLut, ExactLinesMatchOnInt16)
{
    for (unsigned fractional_bits : {0u, 3u})
    {
        const std::int64_t scale = std::int64_t{1} << fractional_bits;
        const auto abs_lut = grotto::make_abs_lut<std::int16_t>(fractional_bits);
        const auto relu = grotto::make_relu_lut<std::int16_t>(fractional_bits);
        const auto relu6 = grotto::make_relu6_lut<std::int16_t>(fractional_bits);
        const auto tanh = grotto::make_hardtanh_lut<std::int16_t>(fractional_bits);
        const auto soft = grotto::make_softshrink_lut<std::int16_t>(fractional_bits);
        const auto shrink = grotto::make_hardshrink_lut<std::int16_t>(fractional_bits);
        const auto sig = grotto::make_hardsigmoid_lut<std::int16_t>(fractional_bits);
        const auto swish = grotto::make_hardswish_lut<std::int16_t>(fractional_bits);
        const auto sq = grotto::make_squared_relu_lut<std::int16_t>(fractional_bits);
        const auto leak = grotto::make_leaky_relu_lut<std::int16_t>(2);
        const std::int64_t three = 3 * scale;
        const std::int64_t den = 6 * scale;
        expect_all<std::int16_t>(abs_lut, ref_abs);
        expect_all<std::int16_t>(relu, ref_relu);
        expect_all<std::int16_t>(relu6, [&](std::int64_t raw) {
            return ref_clip(raw, 0, 6 * scale);
        });
        expect_all<std::int16_t>(tanh, [&](std::int64_t raw) {
            return ref_clip(raw, -scale, scale);
        });
        expect_all<std::int16_t>(soft, [&](std::int64_t raw) { return ref_soft(raw, scale); });
        expect_all<std::int16_t>(shrink, [&](std::int64_t raw) { return ref_hardshrink(raw, scale); });
        expect_all<std::int16_t>(sig, [&](std::int64_t raw) {
            return ref_hardsigmoid(raw, three, scale);
        });
        expect_all<std::int16_t>(swish, [&](std::int64_t raw) {
            return ref_hardswish(raw, three, den);
        });
        expect_all<std::int16_t>(sq, [&](std::int64_t raw) { return ref_sqrelu(raw, scale); });
        expect_all<std::int16_t>(leak, [](std::int64_t raw) {
            return raw >= 0 ? raw : round_div(raw, 4);
        });
    }
    const auto hundredth = grotto::make_leaky_relu_hundredth_lut<std::int16_t>();
    expect_all<std::int16_t>(hundredth, [](std::int64_t raw) {
        return raw >= 0 ? raw : round_div(raw, 100);
    });
}

TEST(EasyLut, ClipIsTheGeneralProgram)
{
    const auto relu6 = grotto::make_relu6_lut<std::int16_t>(2);
    const auto clip = grotto::make_clip_lut<std::int16_t>(2, 0, 6);
    EXPECT_EQ(relu6.parts(), clip.parts());
    EXPECT_EQ(relu6.bounds, clip.bounds);
    EXPECT_EQ(relu6.c0, clip.c0);
    EXPECT_EQ(relu6.c1, clip.c1);
}

TEST(EasyLut, AbsAndReluIgnoreFractionalWidth)
{
    const auto a0 = grotto::make_abs_lut<std::int32_t>(0);
    const auto a8 = grotto::make_abs_lut<std::int32_t>(8);
    EXPECT_EQ(a0.c0, a8.c0);
    EXPECT_EQ(a0.c1, a8.c1);
    EXPECT_EQ(a0.bounds, a8.bounds);
}