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float8_e8m0.cpp
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// Copyright (C) 2018-2024 Intel Corporation
// SPDX-License-Identifier: Apache-2.0
//
#include "openvino/core/type/float8_e8m0.hpp"
#include <gtest/gtest.h>
#include <climits>
#include <tuple>
#include "common_test_utils/float_util.hpp"
namespace ov {
namespace test {
TEST(F8E8M0Test, stream_operator) {
std::stringstream s;
s << ov::float8_e8m0(2.0f);
EXPECT_EQ(s.str(), "2");
}
TEST(F8E8M0Test, to_string) {
const auto f8 = ov::float8_e8m0::from_bits(0b10010111);
EXPECT_EQ(std::to_string(f8), "16777216.000000");
}
TEST(F8E8M0Test, to_float) {
const auto f8 = ov::float8_e8m0::from_bits(0b00000001);
EXPECT_EQ(static_cast<float>(f8), 1.1754944e-38f);
}
TEST(F8E8M0Test, f32_inf) {
const auto f8 = ov::float8_e8m0(std::numeric_limits<float>::infinity());
EXPECT_EQ(f8.to_bits(), 0b11111110);
}
TEST(F8E8M0Test, f32_minus_inf) {
const auto f8 = ov::float8_e8m0(-std::numeric_limits<float>::infinity());
EXPECT_EQ(f8.to_bits(), 0b00000000);
}
TEST(F8E8M0Test, f32_nan_quiet) {
const auto f8 = ov::float8_e8m0(std::numeric_limits<float>::quiet_NaN());
EXPECT_EQ(f8.to_bits(), 0b11111111);
}
TEST(F8E8M0Test, f32_nan_signaling) {
const auto f8 = ov::float8_e8m0(std::numeric_limits<float>::signaling_NaN());
EXPECT_EQ(f8.to_bits(), 0b11111111);
}
TEST(F8E8M0Test, f32_zero) {
const auto f8 = ov::float8_e8m0(0.0f);
EXPECT_EQ(f8.to_bits(), 0b00000000);
}
TEST(F8E8M0Test, f32_negative_zero) {
const auto f8 = ov::float8_e8m0(-0.0f);
EXPECT_EQ(f8.to_bits(), 0b00000000);
}
TEST(F8E8M0Test, f32_negative_one) {
const auto f8 = ov::float8_e8m0(-1.0f);
EXPECT_EQ(f8.to_bits(), 0b00000000);
}
TEST(F8E8M0Test, F8E8M0_nan) {
const auto f8 = static_cast<float>(std::numeric_limits<ov::float8_e8m0>::quiet_NaN());
EXPECT_TRUE(std::isnan(static_cast<float>(f8)));
}
TEST(F8E8M0Test, f8e8m0_num_limits_is_specialized) {
const auto val = std::numeric_limits<ov::float8_e8m0>::is_specialized;
EXPECT_TRUE(val);
}
TEST(F8E8M0Test, f8e8m0_num_limits_is_signed) {
const auto val = std::numeric_limits<ov::float8_e8m0>::is_signed;
EXPECT_FALSE(val);
}
TEST(F8E8M0Test, f8e8m0_num_limits_is_integer) {
const auto val = std::numeric_limits<ov::float8_e8m0>::is_integer;
EXPECT_FALSE(val);
}
TEST(F8E8M0Test, f8e8m0_num_limits_is_exact) {
const auto val = std::numeric_limits<ov::float8_e8m0>::is_exact;
EXPECT_FALSE(val);
}
TEST(F8E8M0Test, f8e8m0_num_limits_radix) {
const auto val = std::numeric_limits<ov::float8_e8m0>::radix;
EXPECT_EQ(val, 2);
}
TEST(F8E8M0Test, f8e8m0_num_limits_digits) {
const auto val = std::numeric_limits<ov::float8_e8m0>::digits;
EXPECT_EQ(val, 1);
}
TEST(F8E8M0Test, f8e8m0_num_limits_digits10) {
const auto f8_dig = std::numeric_limits<ov::float8_e8m0>::digits;
const auto f8_dig10 = std::numeric_limits<ov::float8_e8m0>::digits10;
EXPECT_EQ(f8_dig10, static_cast<int>((f8_dig - 1) * std::log10(2)));
EXPECT_EQ(f8_dig10, 0);
}
TEST(F8E8M0Test, f8e8m0_num_limits_epsilon) {
const auto f8_1 = ov::float8_e8m0(1.f);
const auto f8_1_bits = f8_1.to_bits();
const auto f8_1_next_bits = f8_1_bits + 1u;
const auto f8_eps = ov::float8_e8m0::from_bits(f8_1_next_bits - f8_1_bits);
EXPECT_EQ(f8_eps, std::numeric_limits<ov::float8_e8m0>::epsilon());
EXPECT_EQ(f8_eps.to_bits(), std::numeric_limits<ov::float8_e8m0>::epsilon().to_bits());
}
TEST(F8E8M0Test, f8e8m0_num_limits_round_error) {
const auto f8 = ov::float8_e8m0(0.5f);
EXPECT_EQ(f8, std::numeric_limits<ov::float8_e8m0>::round_error());
EXPECT_EQ(f8.to_bits(), std::numeric_limits<ov::float8_e8m0>::round_error().to_bits());
}
TEST(F8E8M0Test, f8e8m0_quiet_nan) {
const auto f8 = ov::float8_e8m0(std::numeric_limits<ov::float8_e8m0>::quiet_NaN());
const auto has_quiet_nan = std::numeric_limits<ov::float8_e8m0>::has_quiet_NaN;
EXPECT_TRUE(has_quiet_nan);
EXPECT_TRUE(std::isnan(f8));
EXPECT_EQ(f8.to_bits(), 0b11111111);
EXPECT_EQ(std::numeric_limits<ov::float8_e8m0>::quiet_NaN().to_bits(), 0b11111111);
}
TEST(F8E8M0Test, f8e8m0_sig_nan) {
const auto val = std::numeric_limits<ov::float8_e8m0>::has_signaling_NaN;
EXPECT_FALSE(val);
}
TEST(F8E8M0Test, f16_quiet_nan) {
const auto f8 = ov::float8_e8m0(std::numeric_limits<ov::float16>::quiet_NaN());
EXPECT_TRUE(std::isnan(f8));
EXPECT_EQ(f8.to_bits(), 0b11111111);
EXPECT_EQ(std::numeric_limits<ov::float8_e8m0>::quiet_NaN().to_bits(), 0b11111111);
}
TEST(F8E8M0Test, f16_sig_nan) {
const auto f8 = ov::float8_e8m0(std::numeric_limits<ov::float16>::signaling_NaN());
EXPECT_TRUE(std::isnan(f8));
EXPECT_EQ(f8.to_bits(), 0b11111111);
}
TEST(F8E8M0Test, f32_quiet_nan) {
const auto f8 = ov::float8_e8m0(std::numeric_limits<float>::quiet_NaN());
EXPECT_TRUE(std::isnan(f8));
EXPECT_EQ(f8.to_bits(), 0b11111111);
}
TEST(F8E8M0Test, f32_sig_nan) {
const auto f8 = ov::float8_e8m0(std::numeric_limits<float>::signaling_NaN());
EXPECT_TRUE(std::isnan(f8));
EXPECT_EQ(f8.to_bits(), 0b11111111);
}
TEST(F8E8M0Test, f8e8m0_min_normalized) {
const auto f8 = ov::float8_e8m0(5.877471754111437e-39f);
EXPECT_EQ(f8.to_bits(), 0b00000000);
EXPECT_EQ(f8.to_bits(), std::numeric_limits<ov::float8_e8m0>::min().to_bits());
}
TEST(F8E8M0Test, f8e8m0_max_normalized) {
const auto f8 = ov::float8_e8m0(1.7014118346046923e+38f);
EXPECT_EQ(f8.to_bits(), 0b11111110);
EXPECT_EQ(f8.to_bits(), std::numeric_limits<ov::float8_e8m0>::max().to_bits());
}
TEST(F8E8M0Test, f8e8m0_lowest_normalized) {
const auto f8 = ov::float8_e8m0(5.877471754111437e-39f);
EXPECT_EQ(f8.to_bits(), 0b00000000);
EXPECT_EQ(f8.to_bits(), std::numeric_limits<ov::float8_e8m0>::lowest().to_bits());
}
TEST(F8E8M0Test, f32_ge_f8_round_to_max) {
const auto f8 = ov::float8_e8m0(3.402823466385288598117042E+38);
EXPECT_EQ(f8.to_bits(), 0b11111110);
}
TEST(F8E8M0Test, f8e8m0_num_limits_exp) {
const auto min_exp = std::numeric_limits<ov::float8_e8m0>::min_exponent;
const auto min_exp10 = std::numeric_limits<ov::float8_e8m0>::min_exponent10;
const auto max_exp = std::numeric_limits<ov::float8_e8m0>::max_exponent;
const auto max_exp10 = std::numeric_limits<ov::float8_e8m0>::max_exponent10;
EXPECT_EQ(min_exp, -126);
EXPECT_EQ(min_exp10, -38);
EXPECT_EQ(max_exp, 128);
EXPECT_EQ(max_exp10, 38);
}
template <class TContainer>
std::vector<std::tuple<uint8_t, typename TContainer::value_type>> enumerate(const TContainer& values) {
std::vector<std::tuple<uint8_t, typename TContainer::value_type>> enum_values;
uint8_t i = 0;
for (const auto& v : values) {
enum_values.emplace_back(i++, v);
}
return enum_values;
}
constexpr auto f32_nan = std::numeric_limits<float>::quiet_NaN();
constexpr float two_power_127 = 1.7014118346046923e+38f;
constexpr float two_power_negative_127 = 5.877471754111437e-39f;
// clang-format off
const auto exp_floats = std::vector<float>{
two_power_negative_127, 1.1754943508222875e-38f, 2.350988701644575e-38f, 4.70197740328915e-38f,
9.4039548065783e-38f, 1.88079096131566e-37f, 3.76158192263132e-37f, 7.52316384526264e-37f,
1.504632769052528e-36f, 3.009265538105056e-36f, 6.018531076210112e-36f, 1.2037062152420224e-35f,
2.407412430484045e-35f, 4.81482486096809e-35f, 9.62964972193618e-35f, 1.925929944387236e-34f,
3.851859888774472e-34f, 7.703719777548943e-34f, 1.5407439555097887e-33f, 3.0814879110195774e-33f,
6.162975822039155e-33f, 1.232595164407831e-32f, 2.465190328815662e-32f, 4.930380657631324e-32f,
9.860761315262648e-32f, 1.9721522630525295e-31f, 3.944304526105059e-31f, 7.888609052210118e-31f,
1.5777218104420236e-30f, 3.1554436208840472e-30f, 6.310887241768095e-30f, 1.262177448353619e-29f,
2.524354896707238e-29f, 5.048709793414476e-29f, 1.0097419586828951e-28f, 2.0194839173657902e-28f,
4.0389678347315804e-28f, 8.077935669463161e-28f, 1.6155871338926322e-27f, 3.2311742677852644e-27f,
6.462348535570529e-27f, 1.2924697071141057e-26f, 2.5849394142282115e-26f, 5.169878828456423e-26f,
1.0339757656912846e-25f, 2.0679515313825692e-25f, 4.1359030627651384e-25f, 8.271806125530277e-25f,
1.6543612251060553e-24f, 3.308722450212111e-24f, 6.617444900424222e-24f, 1.3234889800848443e-23f,
2.6469779601696886e-23f, 5.293955920339377e-23f, 1.0587911840678754e-22f, 2.117582368135751e-22f,
4.235164736271502e-22f, 8.470329472543003e-22f, 1.6940658945086007e-21f, 3.3881317890172014e-21f,
6.776263578034403e-21f, 1.3552527156068805e-20f, 2.710505431213761e-20f, 5.421010862427522e-20f,
1.0842021724855044e-19f, 2.168404344971009e-19f, 4.336808689942018e-19f, 8.673617379884035e-19f,
1.734723475976807e-18f, 3.469446951953614e-18f, 6.938893903907228e-18f, 1.3877787807814457e-17f,
2.7755575615628914e-17f, 5.551115123125783e-17f, 1.1102230246251565e-16f, 2.220446049250313e-16f,
4.440892098500626e-16f, 8.881784197001252e-16f, 1.7763568394002505e-15f, 3.552713678800501e-15f,
7.105427357601002e-15f, 1.4210854715202004e-14f, 2.842170943040401e-14f, 5.684341886080802e-14f,
1.1368683772161603e-13f, 2.2737367544323206e-13f, 4.547473508864641e-13f, 9.094947017729282e-13f,
1.8189894035458565e-12f, 3.637978807091713e-12f, 7.275957614183426e-12f, 1.4551915228366852e-11f,
2.9103830456733704e-11f, 5.820766091346741e-11f, 1.1641532182693481e-10f, 2.3283064365386963e-10f,
4.656612873077393e-10f, 9.313225746154785e-10f, 1.862645149230957e-09f, 3.725290298461914e-09f,
7.450580596923828e-09f, 1.4901161193847656e-08f, 2.9802322387695312e-08f, 5.960464477539063e-08f,
1.1920928955078125e-07f, 2.384185791015625e-07f, 4.76837158203125e-07f, 9.5367431640625e-07f,
1.9073486328125e-06f, 3.814697265625e-06f, 7.62939453125e-06f, 1.52587890625e-05f,
3.0517578125e-05f, 6.103515625e-05f, 0.0001220703125f, 0.000244140625f,
0.00048828125f, 0.0009765625f, 0.001953125f, 0.00390625f,
0.0078125f, 0.015625f, 0.03125f, 0.0625f,
0.125f, 0.25f, 0.5f, 1.0f,
2.0f, 4.0f, 8.0f, 16.0f,
32.0f, 64.0f, 128.0f, 256.0f,
512.0f, 1024.0f, 2048.0f, 4096.0f,
8192.0f, 16384.0f, 32768.0f, 65536.0f,
131072.0f, 262144.0f, 524288.0f, 1048576.0f,
2097152.0f, 4194304.0f, 8388608.0f, 16777216.0f,
33554432.0f, 67108864.0f, 134217728.0f, 268435456.0f,
536870912.0f, 1073741824.0f, 2147483648.0f, 4294967296.0f,
8589934592.0f, 17179869184.0f, 34359738368.0f, 68719476736.0f,
137438953472.0f, 274877906944.0f, 549755813888.0f, 1099511627776.0f,
2199023255552.0f, 4398046511104.0f, 8796093022208.0f, 17592186044416.0f,
35184372088832.0f, 70368744177664.0f, 140737488355328.0f, 281474976710656.0f,
562949953421312.0f, 1125899906842624.0f, 2251799813685248.0f, 4503599627370496.0f,
9007199254740992.0f, 1.8014398509481984e+16f, 3.602879701896397e+16f, 7.205759403792794e+16f,
1.4411518807585587e+17f, 2.8823037615171174e+17f, 5.764607523034235e+17f, 1.152921504606847e+18f,
2.305843009213694e+18f, 4.611686018427388e+18f, 9.223372036854776e+18f, 1.8446744073709552e+19f,
3.6893488147419103e+19f, 7.378697629483821e+19f, 1.4757395258967641e+20f, 2.9514790517935283e+20f,
5.902958103587057e+20f, 1.1805916207174113e+21f, 2.3611832414348226e+21f, 4.722366482869645e+21f,
9.44473296573929e+21f, 1.888946593147858e+22f, 3.777893186295716e+22f, 7.555786372591432e+22f,
1.5111572745182865e+23f, 3.022314549036573e+23f, 6.044629098073146e+23f, 1.2089258196146292e+24f,
2.4178516392292583e+24f, 4.835703278458517e+24f, 9.671406556917033e+24f, 1.9342813113834067e+25f,
3.8685626227668134e+25f, 7.737125245533627e+25f, 1.5474250491067253e+26f, 3.094850098213451e+26f,
6.189700196426902e+26f, 1.2379400392853803e+27f, 2.4758800785707605e+27f, 4.951760157141521e+27f,
9.903520314283042e+27f, 1.9807040628566084e+28f, 3.961408125713217e+28f, 7.922816251426434e+28f,
1.5845632502852868e+29f, 3.1691265005705735e+29f, 6.338253001141147e+29f, 1.2676506002282294e+30f,
2.535301200456459e+30f, 5.070602400912918e+30f, 1.0141204801825835e+31f, 2.028240960365167e+31f,
4.056481920730334e+31f, 8.112963841460668e+31f, 1.6225927682921336e+32f, 3.2451855365842673e+32f,
6.490371073168535e+32f, 1.298074214633707e+33f, 2.596148429267414e+33f, 5.192296858534828e+33f,
1.0384593717069655e+34f, 2.076918743413931e+34f, 4.153837486827862e+34f, 8.307674973655724e+34f,
1.661534994731145e+35f, 3.32306998946229e+35f, 6.64613997892458e+35f, 1.329227995784916e+36f,
2.658455991569832e+36f, 5.316911983139664e+36f, 1.0633823966279327e+37f, 2.1267647932558654e+37f,
4.253529586511731e+37f, 8.507059173023462e+37f, two_power_127, f32_nan,
};
// clang-format on
using f8m8e0_params = std::tuple<uint8_t, float>;
class F8E8M0PTest : public testing::TestWithParam<f8m8e0_params> {};
INSTANTIATE_TEST_SUITE_P(convert,
F8E8M0PTest,
testing::ValuesIn(enumerate(exp_floats)),
testing::PrintToStringParamName());
TEST_P(F8E8M0PTest, f8_bits_to_f32) {
const auto& params = GetParam();
const auto& exp_value = std::get<1>(params);
const auto f8 = ov::float8_e8m0::from_bits(std::get<0>(params));
if (std::isnan(exp_value)) {
EXPECT_TRUE(std::isnan(static_cast<float>(f8)));
} else {
EXPECT_EQ(static_cast<float>(f8), exp_value);
}
}
TEST_P(F8E8M0PTest, f32_to_f8_bits) {
const auto& params = GetParam();
const auto& value = std::get<1>(params);
const auto& exp_value = std::get<0>(params);
const auto f8 = ov::float8_e8m0(value);
const auto f8_bits = f8.to_bits();
if (exp_value == 0xFF) {
EXPECT_TRUE(std::isnan(f8));
} else {
EXPECT_EQ(f8_bits, exp_value);
}
}
// clang-format off
using f8m8e0_params_cast = std::tuple<float, float>;
const auto test_values = testing::Values<f8m8e0_params_cast>(
std::make_tuple(-std::numeric_limits<float>::infinity(), two_power_negative_127),
std::make_tuple(-15466.5486f, two_power_negative_127),
std::make_tuple(-1.f, two_power_negative_127),
std::make_tuple(0.f, two_power_negative_127),
std::make_tuple(std::nextafter(two_power_127, std::numeric_limits<float>::infinity()), two_power_127),
std::make_tuple(std::numeric_limits<float>::max(), two_power_127),
std::make_tuple(std::numeric_limits<float>::infinity(), two_power_127),
std::make_tuple(std::numeric_limits<float>::signaling_NaN(), f32_nan),
std::make_tuple(1.f, 1.f), std::make_tuple(1.49f, 1.f), std::make_tuple(1.5f, 2.f), std::make_tuple(1.51f, 2.f),
std::make_tuple(2.f, 2.f), std::make_tuple(2.5f, 2.f), std::make_tuple(3.f, 2.f), std::make_tuple(3.5f, 4.f),
std::make_tuple(4.f, 4.f), std::make_tuple(5.f, 4.f), std::make_tuple(5.5f, 4.f), std::make_tuple(5.99f, 4.f),
std::make_tuple(6.f, 8.f), std::make_tuple(7.f, 8.f), std::make_tuple(8.f, 8.f), std::make_tuple(9.f, 8.f),
std::make_tuple(10.f, 8.f), std::make_tuple(11.f, 8.f), std::make_tuple(12.f, 8.f), std::make_tuple(13.f, 16.f),
std::make_tuple(14.f, 16.f), std::make_tuple(15.f, 16.f), std::make_tuple(16.f, 16.f), std::make_tuple(24.f, 32.f),
std::make_tuple(32.f, 32.f), std::make_tuple(32.1f, 32.f), std::make_tuple(63.9f, 64.f), std::make_tuple(64.f, 64.f));
// clang-format on
class F8E8M0PTestCast : public testing::TestWithParam<f8m8e0_params_cast> {};
INSTANTIATE_TEST_SUITE_P(cast, F8E8M0PTestCast, test_values, testing::PrintToStringParamName());
TEST_P(F8E8M0PTestCast, f32_to_f8_to_f32) {
const auto& params = GetParam();
const auto f8 = ov::float8_e8m0(std::get<0>(params));
const auto& exp_value = std::get<1>(params);
if (std::isnan(exp_value)) {
EXPECT_TRUE(std::isnan(static_cast<float>(f8)));
} else {
EXPECT_EQ(static_cast<float>(f8), exp_value);
}
}
} // namespace test
} // namespace ov