--- /dev/null
+// Copyright (c) 2015 The Khronos Group Inc.
+//
+// Permission is hereby granted, free of charge, to any person obtaining a
+// copy of this software and/or associated documentation files (the
+// "Materials"), to deal in the Materials without restriction, including
+// without limitation the rights to use, copy, modify, merge, publish,
+// distribute, sublicense, and/or sell copies of the Materials, and to
+// permit persons to whom the Materials are furnished to do so, subject to
+// the following conditions:
+//
+// The above copyright notice and this permission notice shall be included
+// in all copies or substantial portions of the Materials.
+//
+// MODIFICATIONS TO THIS FILE MAY MEAN IT NO LONGER ACCURATELY REFLECTS
+// KHRONOS STANDARDS. THE UNMODIFIED, NORMATIVE VERSIONS OF KHRONOS
+// SPECIFICATIONS AND HEADER INFORMATION ARE LOCATED AT
+// https://www.khronos.org/registry/
+//
+// THE MATERIALS ARE PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+// IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+// CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
+// TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+// MATERIALS OR THE USE OR OTHER DEALINGS IN THE MATERIALS.
+
+#ifndef _LIBSPIRV_UTIL_HEX_FLOAT_H_
+#define _LIBSPIRV_UTIL_HEX_FLOAT_H_
+
+#include <cassert>
+#include <cmath>
+#include <cstdint>
+#include <iomanip>
+#include <iostream>
+#include <limits>
+
+#include "bitutils.h"
+
+namespace spvutils {
+
+// This is an example traits. It is not meant to be used in practice, but will
+// be the default for any non-specialized type.
+template <typename T>
+struct HexFloatTraits {
+ // Integer type that can store this hex-float.
+ typedef void uint_type;
+ // Signed integer type that can store this hex-float.
+ typedef void int_type;
+ // The number of bits that are actually relevant in the uint_type.
+ // This allows us to deal with, for example, 24-bit values in a 32-bit
+ // integer.
+ static const uint32_t num_used_bits = 0;
+ // Number of bits that represent the exponent.
+ static const uint32_t num_exponent_bits = 0;
+ // Number of bits that represent the fractional part.
+ static const uint32_t num_fraction_bits = 0;
+ // The bias of the exponent. (How much we need to subtract from the stored
+ // value to get the correct value.)
+ static const uint32_t exponent_bias = 0;
+};
+
+// Traits for IEEE float.
+// 1 sign bit, 8 exponent bits, 23 fractional bits.
+template <>
+struct HexFloatTraits<float> {
+ typedef uint32_t uint_type;
+ typedef int32_t int_type;
+ static const uint_type num_used_bits = 32;
+ static const uint_type num_exponent_bits = 8;
+ static const uint_type num_fraction_bits = 23;
+ static const uint_type exponent_bias = 127;
+};
+
+// Traits for IEEE double.
+// 1 sign bit, 11 exponent bits, 52 fractional bits.
+template <>
+struct HexFloatTraits<double> {
+ typedef uint64_t uint_type;
+ typedef int64_t int_type;
+ static const uint_type num_used_bits = 64;
+ static const uint_type num_exponent_bits = 11;
+ static const uint_type num_fraction_bits = 52;
+ static const uint_type exponent_bias = 1023;
+};
+
+// Template class that houses a floating pointer number.
+// It exposes a number of constants based on the provided traits to
+// assist in interpreting the bits of the value.
+template <typename T, typename Traits = HexFloatTraits<T>>
+class HexFloat {
+ public:
+ using uint_type = typename Traits::uint_type;
+ using int_type = typename Traits::int_type;
+
+ explicit HexFloat(T f) : value_(f) {}
+ T value() const { return value_; }
+ void set_value(T f) { value_ = f; }
+
+ // These are all written like this because it is convenient to have
+ // compile-time constants for all of these values.
+
+ // Pass-through values to save typing.
+ static const uint32_t num_used_bits = Traits::num_used_bits;
+ static const uint32_t exponent_bias = Traits::exponent_bias;
+ static const uint32_t num_exponent_bits = Traits::num_exponent_bits;
+ static const uint32_t num_fraction_bits = Traits::num_fraction_bits;
+
+ // Number of bits to shift left to set the highest relevant bit.
+ static const uint32_t top_bit_left_shift = num_used_bits - 1;
+ // How many nibbles (hex characters) the fractional part takes up.
+ static const uint32_t fraction_nibbles = (num_fraction_bits + 3) / 4;
+ // If the fractional part does not fit evenly into a hex character (4-bits)
+ // then we have to left-shift to get rid of leading 0s. This is the amount
+ // we have to shift (might be 0).
+ static const uint32_t num_overflow_bits =
+ fraction_nibbles * 4 - num_fraction_bits;
+
+ // The representation of the fraction, not the actual bits. This
+ // includes the leading bit that is usually implicit.
+ static const uint_type fraction_represent_mask =
+ spvutils::SetBits<uint_type, 0, num_fraction_bits + 1>::get;
+
+ // The topmost bit in the fraction. (The first non-implicit bit).
+ static const uint_type fraction_top_bit =
+ uint_type(1) << num_fraction_bits + num_overflow_bits - 1;
+
+ // The mask for the encoded fraction. It does not include the
+ // implicit bit.
+ static const uint_type fraction_encode_mask =
+ spvutils::SetBits<uint_type, 0, num_fraction_bits>::get;
+
+ // The bit that is used as a sign.
+ static const uint_type sign_mask = uint_type(1) << top_bit_left_shift;
+
+ // The bits that represent the exponent.
+ static const uint_type exponent_mask =
+ spvutils::SetBits<uint_type, num_fraction_bits, num_exponent_bits>::get;
+
+ // How far left the exponent is shifted.
+ static const uint32_t exponent_left_shift = num_fraction_bits;
+
+ // How far from the right edge the fraction is shifted.
+ static const uint32_t fraction_right_shift =
+ (sizeof(uint_type)*8) - num_fraction_bits;
+
+ private:
+ T value_;
+
+ static_assert(num_used_bits ==
+ Traits::num_exponent_bits + Traits::num_fraction_bits + 1,
+ "The number of bits do not fit");
+};
+
+// Outputs the given HexFloat to the stream.
+template <typename T, typename Traits>
+std::ostream& operator<<(std::ostream& os, const HexFloat<T, Traits>& value) {
+ using HF = HexFloat<T, Traits>;
+ using uint_type = typename HF::uint_type;
+ using int_type = typename HF::int_type;
+
+ static_assert(HF::num_used_bits != 0,
+ "num_used_bits must be non-zero for a valid float");
+ static_assert(HF::num_exponent_bits != 0,
+ "num_exponent_bits must be non-zero for a valid float");
+ static_assert(HF::num_fraction_bits != 0,
+ "num_fractin_bits must be non-zero for a valid float");
+ static_assert(HF::num_overflow_bits != 0,
+ "num_exponent_bits must be non-zero for a valid float");
+
+ const uint_type bits = spvutils::BitwiseCast<uint_type>(value.value());
+ const char* const sign = (bits & HF::sign_mask) ? "-" : "";
+ const uint_type exponent = (bits & HF::exponent_mask) >> HF::num_fraction_bits;
+
+ uint_type fraction = (bits & HF::fraction_encode_mask)
+ << HF::num_overflow_bits;
+
+ const bool is_zero = exponent == 0 && fraction == 0;
+ const bool is_denorm = exponent == 0 && !is_zero;
+
+ // exponent contains the biased exponent we have to convert it back into
+ // the normal range.
+ int_type int_exponent = static_cast<int_type>(exponent) - HF::exponent_bias;
+ // If the number is all zeros, then we actually have to NOT shift the
+ // exponent.
+ int_exponent = is_zero ? 0 : int_exponent;
+
+ // If we are denorm, then start shifting, and decreasing the exponent until
+ // our leading bit is 1.
+
+ if (is_denorm) {
+ while ((fraction & HF::fraction_top_bit) == 0) {
+ fraction <<= 1;
+ int_exponent -= 1;
+ }
+ // Since this is denormalized, we have to consume the leading 1 since it
+ // will end up being implicit.
+ fraction <<= 1; // eat the leading 1
+ fraction &= HF::fraction_represent_mask;
+ }
+
+ uint_type fraction_nibbles = HF::fraction_nibbles;
+ // We do not have to display any trailing 0s, since this represents the
+ // fractional part.
+ while (fraction_nibbles > 0 && (fraction & 0xF) == 0) {
+ // Shift off any trailing values;
+ fraction >>= 4;
+ --fraction_nibbles;
+ }
+
+ os << sign << "0x" << (is_zero ? '0' : '1');
+ if (fraction_nibbles) {
+ // Make sure to keep the leading 0s in place, since this is the fractional
+ // part.
+ os << "." << std::setw(fraction_nibbles) << std::setfill('0') << std::hex
+ << fraction;
+ }
+ os << "p" << std::dec << (int_exponent >= 0 ? "+" : "") << int_exponent;
+ return os;
+}
+}
+
+#endif // _LIBSPIRV_UTIL_HEX_FLOAT_H_
--- /dev/null
+// Copyright (c) 2015 The Khronos Group Inc.
+//
+// Permission is hereby granted, free of charge, to any person obtaining a
+// copy of this software and/or associated documentation files (the
+// "Materials"), to deal in the Materials without restriction, including
+// without limitation the rights to use, copy, modify, merge, publish,
+// distribute, sublicense, and/or sell copies of the Materials, and to
+// permit persons to whom the Materials are furnished to do so, subject to
+// the following conditions:
+//
+// The above copyright notice and this permission notice shall be included
+// in all copies or substantial portions of the Materials.
+//
+// MODIFICATIONS TO THIS FILE MAY MEAN IT NO LONGER ACCURATELY REFLECTS
+// KHRONOS STANDARDS. THE UNMODIFIED, NORMATIVE VERSIONS OF KHRONOS
+// SPECIFICATIONS AND HEADER INFORMATION ARE LOCATED AT
+// https://www.khronos.org/registry/
+//
+// THE MATERIALS ARE PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+// IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+// CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
+// TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+// MATERIALS OR THE USE OR OTHER DEALINGS IN THE MATERIALS.
+
+#include "UnitSPIRV.h"
+#include "util/hex_float.h"
+
+#include <gmock/gmock.h>
+#include <tuple>
+#include <sstream>
+#include <string>
+
+
+namespace {
+using ::testing::Eq;
+
+using HexFloatEncodeTest =
+ ::testing::TestWithParam<std::pair<float, std::string>>;
+
+TEST_P(HexFloatEncodeTest, EncodeCorrectly) {
+ std::stringstream ss;
+ ss << spvutils::HexFloat<float>(std::get<0>(GetParam()));
+ EXPECT_THAT(ss.str(), Eq(std::get<1>(GetParam())));
+}
+
+INSTANTIATE_TEST_CASE_P(
+ Float32Tests, HexFloatEncodeTest,
+ ::testing::ValuesIn(std::vector<std::pair<float, std::string>>({
+ {0.f, "0x0p+0"},
+ {1.f, "0x1p+0"},
+ {2.f, "0x1p+1"},
+ {3.f, "0x1.8p+1"},
+ {0.5f, "0x1p-1"},
+ {0.25f, "0x1p-2"},
+ {0.75f, "0x1.8p-1"},
+ {-0.f, "-0x0p+0"},
+ {-1.f, "-0x1p+0"},
+ {-0.5f, "-0x1p-1"},
+ {-0.25f, "-0x1p-2"},
+ {-0.75f, "-0x1.8p-1"},
+
+ // Larger numbers
+ {512.f, "0x1p+9"},
+ {-512.f, "-0x1p+9"},
+ {1024.f, "0x1p+10"},
+ {-1024.f, "-0x1p+10"},
+ {1024.f + 8.f, "0x1.02p+10"},
+ {-1024.f - 8.f, "-0x1.02p+10"},
+
+ // Small numbers
+ {1.0f / 512.f, "0x1p-9"},
+ {1.0f / -512.f, "-0x1p-9"},
+ {1.0f / 1024.f, "0x1p-10"},
+ {1.0f / -1024.f, "-0x1p-10"},
+ {1.0f / 1024.f + 1.0f / 8.f, "0x1.02p-3"},
+ {1.0f / -1024.f - 1.0f / 8.f, "-0x1.02p-3"},
+
+ // lowest non-denorm
+ {1.0 / (powf(2.0f, 126.0f)), "0x1p-126"},
+ {-1.0 / (powf(2.0f, 126.0f)), "-0x1p-126"},
+
+ // Denormalized values
+ {1.0 / (powf(2.0f, 127.0f)), "0x1p-127"},
+ {(1.0 / (powf(2.0f, 127.0f))) / 2.0f, "0x1p-128"},
+ {(1.0 / (powf(2.0f, 127.0f))) / 4.0f, "0x1p-129"},
+ {(1.0 / (powf(2.0f, 127.0f))) / 8.0f, "0x1p-130"},
+ {-1.0 / (powf(2.0f, 127.0f)), "-0x1p-127"},
+ {(-1.0 / (powf(2.0f, 127.0f))) / 2.0f, "-0x1p-128"},
+ {(-1.0 / (powf(2.0f, 127.0f))) / 4.0f, "-0x1p-129"},
+ {(-1.0 / (powf(2.0f, 127.0f))) / 8.0f, "-0x1p-130"},
+
+ {(1.0 / (powf(2.0f, 127.0f))) +
+ ((1.0 / (powf(2.0f, 127.0f))) / 2.0f), "0x1.8p-127"},
+ {(1.0 / (powf(2.0f, 127.0f)) / 2.0f) +
+ ((1.0 / (powf(2.0f, 127.0f))) / 4.0f), "0x1.8p-128"},
+
+
+ // Various NAN and INF cases
+ {spvutils::BitwiseCast<float>(0xFF800000), "-0x1p+128"}, // -inf
+ {spvutils::BitwiseCast<float>(0x7F800000), "0x1p+128"}, // inf
+ {spvutils::BitwiseCast<float>(0xFF800000), "-0x1p+128"}, // -nan
+ {spvutils::BitwiseCast<float>(0xFF800100), "-0x1.0002p+128"}, // -nan
+ {spvutils::BitwiseCast<float>(0xFF800c00), "-0x1.0018p+128"}, // -nan
+ {spvutils::BitwiseCast<float>(0xFF80F000), "-0x1.01ep+128"}, // -nan
+ {spvutils::BitwiseCast<float>(0xFFFFFFFF), "-0x1.fffffep+128"}, // -nan
+ {spvutils::BitwiseCast<float>(0x7F800000), "0x1p+128"}, // +nan
+ {spvutils::BitwiseCast<float>(0x7F800100), "0x1.0002p+128"}, // +nan
+ {spvutils::BitwiseCast<float>(0x7F800c00), "0x1.0018p+128"}, // +nan
+ {spvutils::BitwiseCast<float>(0x7F80F000), "0x1.01ep+128"}, // +nan
+ {spvutils::BitwiseCast<float>(0x7FFFFFFF), "0x1.fffffep+128"}, // +nan
+ })));
+
+// TODO(awoloszyn): Add double tests
+// TODO(awoloszyn): Add fp16 tests and HexFloatTraits.
+
+}