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bfloat16.cpp
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bfloat16.cpp
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// Copyright (C) 2018-2023 Intel Corporation
// SPDX-License-Identifier: Apache-2.0
//
#include "ngraph/type/bfloat16.hpp"
#include <climits>
#include <random>
#include "gtest/gtest.h"
#include "ngraph/log.hpp"
#include "ngraph/runtime/aligned_buffer.hpp"
#include "util/float_util.hpp"
using namespace std;
using namespace ngraph;
template <typename T>
std::string to_hex(T value) {
std::stringstream ss;
ss << "0x" << std::hex << std::setw(sizeof(T) * 2) << std::setfill('0') << value;
return ss.str();
}
//***********************
// NOTE
//***********************
// This test uses exact comparisons of floating point values. It is testing for bit-exact
// creation and truncation/rounding of bfloat16 values.
TEST(bfloat16, conversions) {
bfloat16 bf;
const char* source_string;
std::string bf_string;
// 1.f, the ground-truth value
source_string = "0 01111111 000 0000";
bf = test::bits_to_bfloat16(source_string);
EXPECT_EQ(bf, bfloat16(1.0));
bf_string = test::bfloat16_to_bits(bf);
EXPECT_STREQ(source_string, bf_string.c_str());
// 1.03125f, the exact upper bound
source_string = "0 01111111 000 0100";
bf = test::bits_to_bfloat16(source_string);
EXPECT_EQ(bf, bfloat16(1.03125));
bf_string = test::bfloat16_to_bits(bf);
EXPECT_STREQ(source_string, bf_string.c_str());
}
TEST(bfloat16, round_to_nearest) {
const char* fstring;
std::string expected;
float fvalue;
uint16_t bf_round;
fstring = "0 01111111 000 0100 1000 0000 0000 0000";
fvalue = test::bits_to_float(fstring);
bf_round = bfloat16::round_to_nearest(fvalue);
EXPECT_EQ(bf_round, 0x3F85);
fstring = "0 01111111 000 0100 0000 0000 0000 0000";
fvalue = test::bits_to_float(fstring);
bf_round = bfloat16::round_to_nearest(fvalue);
EXPECT_EQ(bf_round, 0x3F84);
fstring = "0 01111111 111 1111 1000 0000 0000 0000";
fvalue = test::bits_to_float(fstring);
bf_round = bfloat16::round_to_nearest(fvalue);
EXPECT_EQ(bf_round, 0x4000);
// 1.9921875f, the next representable number which should not round up
fstring = "0 01111111 111 1111 0000 0000 0000 0000";
fvalue = test::bits_to_float(fstring);
bf_round = bfloat16::round_to_nearest(fvalue);
EXPECT_EQ(bf_round, 0x3FFF);
}
TEST(bfloat16, round_to_nearest_even) {
const char* fstring;
float fvalue;
uint16_t bf_round;
fstring = "0 01111111 000 0100 1000 0000 0000 0000";
fvalue = test::bits_to_float(fstring);
bf_round = bfloat16::round_to_nearest_even(fvalue);
EXPECT_EQ(bf_round, 0x3F84);
fstring = "0 01111111 000 0101 1000 0000 0000 0000";
fvalue = test::bits_to_float(fstring);
bf_round = bfloat16::round_to_nearest_even(fvalue);
EXPECT_EQ(bf_round, 0x3F86);
fstring = "0 01111111 000 0101 0000 0000 0000 0000";
fvalue = test::bits_to_float(fstring);
bf_round = bfloat16::round_to_nearest_even(fvalue);
EXPECT_EQ(bf_round, 0x3F85);
fstring = "0 01111111 111 1111 1000 0000 0000 0000";
fvalue = test::bits_to_float(fstring);
bf_round = bfloat16::round_to_nearest_even(fvalue);
EXPECT_EQ(bf_round, 0x4000);
fstring = "0 01111111 111 1111 0000 0000 0000 0000";
fvalue = test::bits_to_float(fstring);
bf_round = bfloat16::round_to_nearest_even(fvalue);
EXPECT_EQ(bf_round, 0x3FFF);
}
TEST(bfloat16, to_float) {
bfloat16 bf;
const char* source_string;
// 1.f, the ground-truth value
source_string = "0 01111111 000 0000";
bf = test::bits_to_bfloat16(source_string);
float f = static_cast<float>(bf);
EXPECT_EQ(f, 1.0f);
// 1.03125f, the exact upper bound
source_string = "0 01111111 000 0100";
bf = test::bits_to_bfloat16(source_string);
f = static_cast<float>(bf);
EXPECT_EQ(f, 1.03125f);
}
TEST(bfloat16, numeric_limits) {
bfloat16 infinity = numeric_limits<bfloat16>::infinity();
bfloat16 neg_infinity = -numeric_limits<bfloat16>::infinity();
bfloat16 quiet_nan = numeric_limits<bfloat16>::quiet_NaN();
bfloat16 signaling_nan = numeric_limits<bfloat16>::signaling_NaN();
// Would be nice if we could have bfloat16 overloads for these, but it would require adding
// overloads into ::std. So we just cast to float here. We can't rely on an implicit cast
// because it fails with some versions of AppleClang.
EXPECT_TRUE(isinf(static_cast<float>(infinity)));
EXPECT_TRUE(isinf(static_cast<float>(neg_infinity)));
EXPECT_TRUE(isnan(static_cast<float>(quiet_nan)));
EXPECT_TRUE(isnan(static_cast<float>(signaling_nan)));
}
TEST(benchmark, bfloat16) {
NGRAPH_SUPPRESS_DEPRECATED_START
size_t buffer_size = 128 * 3 * 224 * 224;
ngraph::runtime::AlignedBuffer data(buffer_size * sizeof(float), 4096);
float* f = static_cast<float*>(data.get_ptr());
// vector<float> data(buffer_size);
std::mt19937 rng(2112);
std::uniform_real_distribution<float> distribution(-300, 300);
for (size_t i = 0; i < buffer_size; ++i) {
f[i] = distribution(rng);
}
NGRAPH_INFO << "buffer size " << buffer_size << " floats or " << data.size() << " bytes";
{
ngraph::runtime::AlignedBuffer bf_data(buffer_size * sizeof(bfloat16), 4096);
bfloat16* p = static_cast<bfloat16*>(bf_data.get_ptr());
stopwatch timer;
timer.start();
for (size_t i = 0; i < buffer_size; ++i) {
p[i] = bfloat16(f[i]);
}
timer.stop();
NGRAPH_INFO << "float to bfloat16 ctor " << timer.get_milliseconds() << "ms";
}
{
ngraph::runtime::AlignedBuffer bf_data(buffer_size * sizeof(bfloat16), 4096);
bfloat16* p = static_cast<bfloat16*>(bf_data.get_ptr());
stopwatch timer;
timer.start();
for (size_t i = 0; i < buffer_size; ++i) {
p[i] = bfloat16::truncate(f[i]);
}
timer.stop();
NGRAPH_INFO << "float to bfloat16 truncate " << timer.get_milliseconds() << "ms";
}
{
ngraph::runtime::AlignedBuffer bf_data(buffer_size * sizeof(bfloat16), 4096);
bfloat16* p = static_cast<bfloat16*>(bf_data.get_ptr());
stopwatch timer;
timer.start();
for (size_t i = 0; i < buffer_size; ++i) {
p[i] = bfloat16::round_to_nearest(f[i]);
}
timer.stop();
NGRAPH_INFO << "float to bfloat16 round to nearest " << timer.get_milliseconds() << "ms";
}
{
ngraph::runtime::AlignedBuffer bf_data(buffer_size * sizeof(bfloat16), 4096);
bfloat16* p = static_cast<bfloat16*>(bf_data.get_ptr());
stopwatch timer;
timer.start();
for (size_t i = 0; i < buffer_size; ++i) {
p[i] = bfloat16::round_to_nearest_even(f[i]);
}
timer.stop();
NGRAPH_INFO << "float to bfloat16 round to nearest even " << timer.get_milliseconds() << "ms";
}
NGRAPH_SUPPRESS_DEPRECATED_END
}
TEST(bfloat16, assigns) {
bfloat16 bf16;
bf16 = 2.0;
EXPECT_EQ(bf16, float16(2.0));
std::vector<float> f32vec{1.0, 2.0, 4.0};
std::vector<bfloat16> bf16vec;
std::copy(f32vec.begin(), f32vec.end(), std::back_inserter(bf16vec));
for (size_t i = 0; i < f32vec.size(); ++i) {
EXPECT_EQ(f32vec.at(i), bf16vec.at(i));
}
f32vec = {-1.0, -2.0, -3.0};
for (size_t i = 0; i < f32vec.size(); ++i) {
bf16vec[i] = f32vec[i];
}
for (size_t i = 0; i < f32vec.size(); ++i) {
EXPECT_EQ(f32vec.at(i), bf16vec.at(i));
}
float f32arr[] = {1.0, 2.0, 4.0};
bfloat16 bf16arr[sizeof(f32arr)];
for (size_t i = 0; i < sizeof(f32arr) / sizeof(f32arr[0]); ++i) {
bf16arr[i] = f32arr[i];
EXPECT_EQ(f32arr[i], bf16arr[i]);
}
}
TEST(bfloat16, operators) {
bfloat16 a(2.0);
bfloat16 b(3.5);
bfloat16 c(5.5);
bfloat16 d(7.0);
ASSERT_TRUE(a + b == c);
ASSERT_TRUE(a == c - b);
ASSERT_TRUE(a * b == d);
ASSERT_TRUE(a == d / b);
}