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349 lines
15 KiB
349 lines
15 KiB
4 months ago
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#include <gtest/gtest.h>
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#include <cstdint>
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#include <cmath>
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#include <fp16.h>
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#include "tables.h"
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TEST(FP16_ALT_TO_FP32_VALUE, normalized_powers_of_2) {
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const uint16_t min_po2_f16 = UINT16_C(0x0400);
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const uint16_t eighths_f16 = UINT16_C(0x3000);
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const uint16_t quarter_f16 = UINT16_C(0x3400);
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const uint16_t half_f16 = UINT16_C(0x3800);
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const uint16_t one_f16 = UINT16_C(0x3C00);
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const uint16_t two_f16 = UINT16_C(0x4000);
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const uint16_t four_f16 = UINT16_C(0x4400);
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const uint16_t eight_f16 = UINT16_C(0x4800);
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const uint16_t sixteen_f16 = UINT16_C(0x4C00);
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const uint16_t thirtytwo_f16 = UINT16_C(0x5000);
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const uint16_t sixtyfour_f16 = UINT16_C(0x5400);
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const uint16_t max_po2_f16 = UINT16_C(0x7C00);
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const uint32_t min_po2_f32 = UINT32_C(0x38800000);
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const uint32_t eighths_f32 = UINT32_C(0x3E000000);
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const uint32_t quarter_f32 = UINT32_C(0x3E800000);
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const uint32_t half_f32 = UINT32_C(0x3F000000);
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const uint32_t one_f32 = UINT32_C(0x3F800000);
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const uint32_t two_f32 = UINT32_C(0x40000000);
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const uint32_t four_f32 = UINT32_C(0x40800000);
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const uint32_t eight_f32 = UINT32_C(0x41000000);
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const uint32_t sixteen_f32 = UINT32_C(0x41800000);
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const uint32_t thirtytwo_f32 = UINT32_C(0x42000000);
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const uint32_t sixtyfour_f32 = UINT32_C(0x42800000);
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const uint32_t max_po2_f32 = UINT32_C(0x47800000);
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const float min_po2_value = fp16_alt_to_fp32_value(min_po2_f16);
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uint32_t min_po2_bits;
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memcpy(&min_po2_bits, &min_po2_value, sizeof(min_po2_bits));
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EXPECT_EQ(min_po2_f32, min_po2_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << min_po2_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << min_po2_bits << ", " <<
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"F32 = 0x" << std::setw(8) << min_po2_f32;
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const float eighths_value = fp16_alt_to_fp32_value(eighths_f16);
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uint32_t eighths_bits;
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memcpy(&eighths_bits, &eighths_value, sizeof(eighths_bits));
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EXPECT_EQ(eighths_f32, eighths_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << eighths_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << eighths_bits << ", " <<
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"F32 = 0x" << std::setw(8) << eighths_f32;
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const float quarter_value = fp16_alt_to_fp32_value(quarter_f16);
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uint32_t quarter_bits;
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memcpy(&quarter_bits, &quarter_value, sizeof(quarter_bits));
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EXPECT_EQ(quarter_f32, quarter_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << quarter_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << quarter_bits << ", " <<
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"F32 = 0x" << std::setw(8) << quarter_f32;
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const float half_value = fp16_alt_to_fp32_value(half_f16);
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uint32_t half_bits;
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memcpy(&half_bits, &half_value, sizeof(half_bits));
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EXPECT_EQ(half_f32, half_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << half_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << half_bits << ", " <<
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"F32 = 0x" << std::setw(8) << half_f32;
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const float one_value = fp16_alt_to_fp32_value(one_f16);
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uint32_t one_bits;
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memcpy(&one_bits, &one_value, sizeof(one_bits));
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EXPECT_EQ(one_f32, one_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << one_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << one_bits << ", " <<
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"F32 = 0x" << std::setw(8) << one_f32;
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const float two_value = fp16_alt_to_fp32_value(two_f16);
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uint32_t two_bits;
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memcpy(&two_bits, &two_value, sizeof(two_bits));
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EXPECT_EQ(two_f32, two_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << two_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << two_bits << ", " <<
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"F32 = 0x" << std::setw(8) << two_f32;
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const float four_value = fp16_alt_to_fp32_value(four_f16);
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uint32_t four_bits;
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memcpy(&four_bits, &four_value, sizeof(four_bits));
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EXPECT_EQ(four_f32, four_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << four_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << four_bits << ", " <<
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"F32 = 0x" << std::setw(8) << four_f32;
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const float eight_value = fp16_alt_to_fp32_value(eight_f16);
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uint32_t eight_bits;
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memcpy(&eight_bits, &eight_value, sizeof(eight_bits));
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EXPECT_EQ(eight_f32, eight_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << eight_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << eight_bits << ", " <<
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"F32 = 0x" << std::setw(8) << eight_f32;
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const float sixteen_value = fp16_alt_to_fp32_value(sixteen_f16);
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uint32_t sixteen_bits;
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memcpy(&sixteen_bits, &sixteen_value, sizeof(sixteen_bits));
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EXPECT_EQ(sixteen_f32, sixteen_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << sixteen_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << sixteen_bits << ", " <<
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"F32 = 0x" << std::setw(8) << sixteen_f32;
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const float thirtytwo_value = fp16_alt_to_fp32_value(thirtytwo_f16);
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uint32_t thirtytwo_bits;
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memcpy(&thirtytwo_bits, &thirtytwo_value, sizeof(thirtytwo_bits));
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EXPECT_EQ(thirtytwo_f32, thirtytwo_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << thirtytwo_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << thirtytwo_bits << ", " <<
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"F32 = 0x" << std::setw(8) << thirtytwo_f32;
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const float sixtyfour_value = fp16_alt_to_fp32_value(sixtyfour_f16);
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uint32_t sixtyfour_bits;
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memcpy(&sixtyfour_bits, &sixtyfour_value, sizeof(sixtyfour_bits));
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EXPECT_EQ(sixtyfour_f32, sixtyfour_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << sixtyfour_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << sixtyfour_bits << ", " <<
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"F32 = 0x" << std::setw(8) << sixtyfour_f32;
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const float max_po2_value = fp16_alt_to_fp32_value(max_po2_f16);
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uint32_t max_po2_bits;
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memcpy(&max_po2_bits, &max_po2_value, sizeof(max_po2_bits));
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EXPECT_EQ(max_po2_f32, max_po2_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << max_po2_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << max_po2_bits << ", " <<
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"F32 = 0x" << std::setw(8) << max_po2_f32;
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}
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TEST(FP16_ALT_TO_FP32_VALUE, denormalized_powers_of_2) {
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const uint16_t exp2_minus_15_f16 = UINT16_C(0x0200);
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const uint16_t exp2_minus_16_f16 = UINT16_C(0x0100);
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const uint16_t exp2_minus_17_f16 = UINT16_C(0x0080);
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const uint16_t exp2_minus_18_f16 = UINT16_C(0x0040);
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const uint16_t exp2_minus_19_f16 = UINT16_C(0x0020);
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const uint16_t exp2_minus_20_f16 = UINT16_C(0x0010);
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const uint16_t exp2_minus_21_f16 = UINT16_C(0x0008);
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const uint16_t exp2_minus_22_f16 = UINT16_C(0x0004);
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const uint16_t exp2_minus_23_f16 = UINT16_C(0x0002);
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const uint16_t exp2_minus_24_f16 = UINT16_C(0x0001);
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const uint32_t exp2_minus_15_f32 = UINT32_C(0x38000000);
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const uint32_t exp2_minus_16_f32 = UINT32_C(0x37800000);
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const uint32_t exp2_minus_17_f32 = UINT32_C(0x37000000);
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const uint32_t exp2_minus_18_f32 = UINT32_C(0x36800000);
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const uint32_t exp2_minus_19_f32 = UINT32_C(0x36000000);
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const uint32_t exp2_minus_20_f32 = UINT32_C(0x35800000);
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const uint32_t exp2_minus_21_f32 = UINT32_C(0x35000000);
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const uint32_t exp2_minus_22_f32 = UINT32_C(0x34800000);
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const uint32_t exp2_minus_23_f32 = UINT32_C(0x34000000);
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const uint32_t exp2_minus_24_f32 = UINT32_C(0x33800000);
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const float exp2_minus_15_value = fp16_alt_to_fp32_value(exp2_minus_15_f16);
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uint32_t exp2_minus_15_bits;
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memcpy(&exp2_minus_15_bits, &exp2_minus_15_value, sizeof(exp2_minus_15_bits));
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EXPECT_EQ(exp2_minus_15_f32, exp2_minus_15_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << exp2_minus_15_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << exp2_minus_15_bits << ", " <<
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"F32 = 0x" << std::setw(8) << exp2_minus_15_f32;
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const float exp2_minus_16_value = fp16_alt_to_fp32_value(exp2_minus_16_f16);
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uint32_t exp2_minus_16_bits;
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memcpy(&exp2_minus_16_bits, &exp2_minus_16_value, sizeof(exp2_minus_16_bits));
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EXPECT_EQ(exp2_minus_16_f32, exp2_minus_16_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << exp2_minus_16_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << exp2_minus_16_bits << ", " <<
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"F32 = 0x" << std::setw(8) << exp2_minus_16_f32;
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const float exp2_minus_17_value = fp16_alt_to_fp32_value(exp2_minus_17_f16);
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uint32_t exp2_minus_17_bits;
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memcpy(&exp2_minus_17_bits, &exp2_minus_17_value, sizeof(exp2_minus_17_bits));
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EXPECT_EQ(exp2_minus_17_f32, exp2_minus_17_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << exp2_minus_17_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << exp2_minus_17_bits << ", " <<
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"F32 = 0x" << std::setw(8) << exp2_minus_17_f32;
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const float exp2_minus_18_value = fp16_alt_to_fp32_value(exp2_minus_18_f16);
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uint32_t exp2_minus_18_bits;
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memcpy(&exp2_minus_18_bits, &exp2_minus_18_value, sizeof(exp2_minus_18_bits));
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EXPECT_EQ(exp2_minus_18_f32, exp2_minus_18_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << exp2_minus_18_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << exp2_minus_18_bits << ", " <<
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"F32 = 0x" << std::setw(8) << exp2_minus_18_f32;
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const float exp2_minus_19_value = fp16_alt_to_fp32_value(exp2_minus_19_f16);
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uint32_t exp2_minus_19_bits;
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memcpy(&exp2_minus_19_bits, &exp2_minus_19_value, sizeof(exp2_minus_19_bits));
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EXPECT_EQ(exp2_minus_19_f32, exp2_minus_19_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << exp2_minus_19_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << exp2_minus_19_bits << ", " <<
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"F32 = 0x" << std::setw(8) << exp2_minus_19_f32;
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const float exp2_minus_20_value = fp16_alt_to_fp32_value(exp2_minus_20_f16);
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uint32_t exp2_minus_20_bits;
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memcpy(&exp2_minus_20_bits, &exp2_minus_20_value, sizeof(exp2_minus_20_bits));
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EXPECT_EQ(exp2_minus_20_f32, exp2_minus_20_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << exp2_minus_20_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << exp2_minus_20_bits << ", " <<
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"F32 = 0x" << std::setw(8) << exp2_minus_20_f32;
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const float exp2_minus_21_value = fp16_alt_to_fp32_value(exp2_minus_21_f16);
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uint32_t exp2_minus_21_bits;
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memcpy(&exp2_minus_21_bits, &exp2_minus_21_value, sizeof(exp2_minus_21_bits));
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EXPECT_EQ(exp2_minus_21_f32, exp2_minus_21_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << exp2_minus_21_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << exp2_minus_21_bits << ", " <<
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"F32 = 0x" << std::setw(8) << exp2_minus_21_f32;
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const float exp2_minus_22_value = fp16_alt_to_fp32_value(exp2_minus_22_f16);
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uint32_t exp2_minus_22_bits;
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memcpy(&exp2_minus_22_bits, &exp2_minus_22_value, sizeof(exp2_minus_22_bits));
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EXPECT_EQ(exp2_minus_22_f32, exp2_minus_22_bits) <<
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std::hex << std::uppercase << std::setfill('0') <<
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"F16 = 0x" << std::setw(4) << exp2_minus_22_f16 << ", " <<
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"F32(F16) = 0x" << std::setw(8) << exp2_minus_22_bits << ", " <<
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"F32 = 0x" << std::setw(8) << exp2_minus_22_f32;
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const float exp2_minus_23_value = fp16_alt_to_fp32_value(exp2_minus_23_f16);
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uint32_t exp2_minus_23_bits;
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memcpy(&exp2_minus_23_bits, &exp2_minus_23_value, sizeof(exp2_minus_23_bits));
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EXPECT_EQ(exp2_minus_23_f32, exp2_minus_23_bits) <<
|
||
|
|
std::hex << std::uppercase << std::setfill('0') <<
|
||
|
|
"F16 = 0x" << std::setw(4) << exp2_minus_23_f16 << ", " <<
|
||
|
|
"F32(F16) = 0x" << std::setw(8) << exp2_minus_23_bits << ", " <<
|
||
|
|
"F32 = 0x" << std::setw(8) << exp2_minus_23_f32;
|
||
|
|
|
||
|
|
const float exp2_minus_24_value = fp16_alt_to_fp32_value(exp2_minus_24_f16);
|
||
|
|
uint32_t exp2_minus_24_bits;
|
||
|
|
memcpy(&exp2_minus_24_bits, &exp2_minus_24_value, sizeof(exp2_minus_24_bits));
|
||
|
|
EXPECT_EQ(exp2_minus_24_f32, exp2_minus_24_bits) <<
|
||
|
|
std::hex << std::uppercase << std::setfill('0') <<
|
||
|
|
"F16 = 0x" << std::setw(4) << exp2_minus_24_f16 << ", " <<
|
||
|
|
"F32(F16) = 0x" << std::setw(8) << exp2_minus_24_bits << ", " <<
|
||
|
|
"F32 = 0x" << std::setw(8) << exp2_minus_24_f32;
|
||
|
|
}
|
||
|
|
|
||
|
|
TEST(FP16_ALT_TO_FP32_VALUE, zero) {
|
||
|
|
const uint16_t positive_zero_f16 = UINT16_C(0x0000);
|
||
|
|
const uint16_t negative_zero_f16 = UINT16_C(0x8000);
|
||
|
|
|
||
|
|
const uint32_t positive_zero_f32 = UINT32_C(0x00000000);
|
||
|
|
const uint32_t negative_zero_f32 = UINT32_C(0x80000000);
|
||
|
|
|
||
|
|
const float positive_zero_value = fp16_alt_to_fp32_value(positive_zero_f16);
|
||
|
|
uint32_t positive_zero_bits;
|
||
|
|
memcpy(&positive_zero_bits, &positive_zero_value, sizeof(positive_zero_bits));
|
||
|
|
EXPECT_EQ(positive_zero_f32, positive_zero_bits) <<
|
||
|
|
std::hex << std::uppercase << std::setfill('0') <<
|
||
|
|
"F16 = 0x" << std::setw(4) << positive_zero_f16 << ", " <<
|
||
|
|
"F32(F16) = 0x" << std::setw(8) << positive_zero_bits << ", " <<
|
||
|
|
"F32 = 0x" << std::setw(8) << positive_zero_f32;
|
||
|
|
|
||
|
|
const float negative_zero_value = fp16_alt_to_fp32_value(negative_zero_f16);
|
||
|
|
uint32_t negative_zero_bits;
|
||
|
|
memcpy(&negative_zero_bits, &negative_zero_value, sizeof(negative_zero_bits));
|
||
|
|
EXPECT_EQ(negative_zero_f32, negative_zero_bits) <<
|
||
|
|
std::hex << std::uppercase << std::setfill('0') <<
|
||
|
|
"F16 = 0x" << std::setw(4) << negative_zero_f16 << ", " <<
|
||
|
|
"F32(F16) = 0x" << std::setw(8) << negative_zero_bits << ", " <<
|
||
|
|
"F32 = 0x" << std::setw(8) << negative_zero_f32;
|
||
|
|
}
|
||
|
|
|
||
|
|
TEST(FP16_ALT_TO_FP32_VALUE, positive_normalized_values) {
|
||
|
|
const uint32_t exponentBias = 15;
|
||
|
|
for (int32_t e = -14; e <= 16; e++) {
|
||
|
|
for (uint16_t h = 0; h < 0x0400; h++) {
|
||
|
|
const uint16_t fp16 = h + ((uint16_t) (e + exponentBias) << 10);
|
||
|
|
const uint32_t fp32 = fp16::normalizedValues[h] + ((uint32_t) e << 23);
|
||
|
|
const float value = fp16_alt_to_fp32_value(fp16);
|
||
|
|
uint32_t bits;
|
||
|
|
memcpy(&bits, &value, sizeof(bits));
|
||
|
|
EXPECT_EQ(fp32, bits) <<
|
||
|
|
std::hex << std::uppercase << std::setfill('0') <<
|
||
|
|
"F16 = 0x" << std::setw(4) << fp16 << ", " <<
|
||
|
|
"F32(F16) = 0x" << std::setw(8) << bits << ", " <<
|
||
|
|
"F32 = 0x" << std::setw(8) << fp32;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
TEST(FP16_ALT_TO_FP32_VALUE, negative_normalized_values) {
|
||
|
|
const uint32_t exponentBias = 15;
|
||
|
|
for (int32_t e = -14; e <= 16; e++) {
|
||
|
|
for (uint16_t h = 0; h < 0x0400; h++) {
|
||
|
|
const uint16_t fp16 = (h + ((uint16_t) (e + exponentBias) << 10)) ^ UINT16_C(0x8000);
|
||
|
|
const uint32_t fp32 = (fp16::normalizedValues[h] + ((uint32_t) e << 23)) ^ UINT32_C(0x80000000);
|
||
|
|
const float value = fp16_alt_to_fp32_value(fp16);
|
||
|
|
uint32_t bits;
|
||
|
|
memcpy(&bits, &value, sizeof(bits));
|
||
|
|
EXPECT_EQ(fp32, bits) <<
|
||
|
|
std::hex << std::uppercase << std::setfill('0') <<
|
||
|
|
"F16 = 0x" << std::setw(4) << fp16 << ", " <<
|
||
|
|
"F32(F16) = 0x" << std::setw(8) << bits << ", " <<
|
||
|
|
"F32 = 0x" << std::setw(8) << fp32;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
TEST(FP16_ALT_TO_FP32_VALUE, positive_denormalized_values) {
|
||
|
|
for (uint16_t h = 0; h < 0x0400; h++) {
|
||
|
|
const float value = fp16_alt_to_fp32_value(h);
|
||
|
|
uint32_t bits;
|
||
|
|
memcpy(&bits, &value, sizeof(bits));
|
||
|
|
EXPECT_EQ(fp16::denormalizedValues[h], bits) <<
|
||
|
|
std::hex << std::uppercase << std::setfill('0') <<
|
||
|
|
"F16 = 0x" << std::setw(4) << h << ", " <<
|
||
|
|
"F32(F16) = 0x" << std::setw(8) << bits << ", " <<
|
||
|
|
"F32 = 0x" << std::setw(8) << fp16::denormalizedValues[h];
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
TEST(FP16_ALT_TO_FP32_VALUE, negative_denormalized_values) {
|
||
|
|
for (uint16_t h = 0; h < 0x0400; h++) {
|
||
|
|
const uint16_t fp16 = h ^ UINT16_C(0x8000);
|
||
|
|
const uint32_t fp32 = fp16::denormalizedValues[h] ^ UINT32_C(0x80000000);
|
||
|
|
const float value = fp16_alt_to_fp32_value(fp16);
|
||
|
|
uint32_t bits;
|
||
|
|
memcpy(&bits, &value, sizeof(bits));
|
||
|
|
EXPECT_EQ(fp32, bits) <<
|
||
|
|
std::hex << std::uppercase << std::setfill('0') <<
|
||
|
|
"F16 = 0x" << std::setw(4) << fp16 << ", " <<
|
||
|
|
"F32(F16) = 0x" << std::setw(8) << bits << ", " <<
|
||
|
|
"F32 = 0x" << std::setw(8) << fp32;
|
||
|
|
}
|
||
|
|
}
|