255 lines
14 KiB
C++
255 lines
14 KiB
C++
/// @file grotto/gadgets/binary/has_single_bit.hpp
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/// @author Ryan Henry <ryan.henry@ucalgary.ca>
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/// @brief gadgetized form of `std::has_single_bit`
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/// @copyright Copyright (c) 2019-2023 Ryan Henry and others
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/// @license Released under a GNU General Public v2.0 (GPLv2) license;
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/// see [LICENSE.md](@ref GPLv2) for details.
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#ifndef LIBDPF_INCLUDE_GROTTO_GADGETS_BINARY_HAS_SINGLE_BIT_HPP__
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#define LIBDPF_INCLUDE_GROTTO_GADGETS_BINARY_HAS_SINGLE_BIT_HPP__
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#include <array>
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#include <limits>
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#include <portable-snippets/builtin/builtin.h>
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#include "grotto/gadget_hints.hpp"
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namespace grotto
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{
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namespace gadgets
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{
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struct has_single_bit
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{
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template <typename T>
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T operator()(T x)
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{
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if (x == 0) return 0;
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uint64_t x_ = static_cast<uint64_t>(static_cast<double>(x > 0 ? x : 1.0 / x));
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return psnip_builtin_popcount64(x_) == 1 ? 1 : 0;
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}
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};
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template <>
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struct gadget_hints<has_single_bit>
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{
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static constexpr double min = std::numeric_limits<double>::min();
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static constexpr double max = std::numeric_limits<double>::max();
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static constexpr double poles[] = { };
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static constexpr double interesting_points[] = {
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-0x1.0000000000000p+0063, +0x1.0000000000000p-0063,
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+0x1.0000000000000p-0062, +0x1.0000000000000p-0061,
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+0x1.0000000000000p-0060, +0x1.0000000000000p-0059,
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+0x1.0000000000000p-0058, +0x1.0000000000000p-0057,
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+0x1.0000000000000p-0056, +0x1.0000000000000p-0055,
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+0x1.0000000000000p-0054, +0x1.0000000000000p-0053,
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+0x1.0000000000000p-0052, +0x1.0000000000000p-0051,
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+0x1.0000000000000p-0050, +0x1.0000000000000p-0049,
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+0x1.0000000000000p-0048, +0x1.0000000000000p-0047,
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+0x1.0000000000000p-0046, +0x1.0000000000000p-0045,
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+0x1.0000000000000p-0044, +0x1.0000000000000p-0043,
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+0x1.0000000000000p-0042, +0x1.0000000000000p-0041,
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+0x1.0000000000000p-0040, +0x1.0000000000000p-0039,
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+0x1.0000000000000p-0038, +0x1.0000000000000p-0037,
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+0x1.0000000000000p-0036, +0x1.0000000000000p-0035,
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+0x1.0000000000000p-0034, +0x1.0000000000000p-0033,
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+0x1.0000000000000p-0032, +0x1.0000000000000p-0031,
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+0x1.0000000000000p-0030, +0x1.0000000000000p-0029,
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+0x1.0000000000000p-0028, +0x1.0000000000000p-0027,
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+0x1.0000000000000p-0026, +0x1.0000000000000p-0025,
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+0x1.0000000000000p-0024, +0x1.0000000000000p-0023,
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+0x1.0000000000000p-0022, +0x1.0000000000000p-0021,
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+0x1.0000000000000p-0020, +0x1.0000000000000p-0019,
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+0x1.0000000000000p-0018, +0x1.0000000000000p-0017,
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+0x1.0000000000000p-0016, +0x1.0000000000000p-0015,
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+0x1.0000000000000p-0014, +0x1.0000000000000p-0013,
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+0x1.0000000000000p-0012, +0x1.0000000000000p-0011,
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+0x1.0000000000000p-0010, +0x1.0000000000000p-0009,
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+0x1.0000000000000p-0008, +0x1.0000000000000p-0007,
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+0x1.0000000000000p-0006, +0x1.0000000000000p-0005,
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+0x1.0000000000000p-0004, +0x1.0000000000000p-0003,
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+0x1.0000000000000p-0002, +0x1.0000000000000p-0001,
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+0x1.0000000000000p+0000, +0x1.0000000000000p+0001,
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+0x1.0000000000000p+0002, +0x1.0000000000000p+0003,
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+0x1.0000000000000p+0004, +0x1.0000000000000p+0005,
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+0x1.0000000000000p+0006, +0x1.0000000000000p+0007,
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+0x1.0000000000000p+0008, +0x1.0000000000000p+0009,
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+0x1.0000000000000p+0010, +0x1.0000000000000p+0011,
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+0x1.0000000000000p+0012, +0x1.0000000000000p+0013,
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+0x1.0000000000000p+0014, +0x1.0000000000000p+0015,
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+0x1.0000000000000p+0016, +0x1.0000000000000p+0017,
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+0x1.0000000000000p+0018, +0x1.0000000000000p+0019,
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+0x1.0000000000000p+0020, +0x1.0000000000000p+0021,
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+0x1.0000000000000p+0022, +0x1.0000000000000p+0023,
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+0x1.0000000000000p+0024, +0x1.0000000000000p+0025,
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+0x1.0000000000000p+0026, +0x1.0000000000000p+0027,
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+0x1.0000000000000p+0028, +0x1.0000000000000p+0029,
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+0x1.0000000000000p+0030, +0x1.0000000000000p+0031,
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+0x1.0000000000000p+0032, +0x1.0000000000000p+0033,
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+0x1.0000000000000p+0034, +0x1.0000000000000p+0035,
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+0x1.0000000000000p+0036, +0x1.0000000000000p+0037,
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+0x1.0000000000000p+0038, +0x1.0000000000000p+0039,
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+0x1.0000000000000p+0040, +0x1.0000000000000p+0041,
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+0x1.0000000000000p+0042, +0x1.0000000000000p+0043,
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+0x1.0000000000000p+0044, +0x1.0000000000000p+0045,
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+0x1.0000000000000p+0046, +0x1.0000000000000p+0047,
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+0x1.0000000000000p+0048, +0x1.0000000000000p+0049,
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+0x1.0000000000000p+0050, +0x1.0000000000000p+0051,
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+0x1.0000000000000p+0052, +0x1.0000000000000p+0053,
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+0x1.0000000000000p+0054, +0x1.0000000000000p+0055,
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+0x1.0000000000000p+0056, +0x1.0000000000000p+0057,
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+0x1.0000000000000p+0058, +0x1.0000000000000p+0059,
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+0x1.0000000000000p+0060, +0x1.0000000000000p+0061,
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+0x1.0000000000000p+0062 };
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static constexpr unsigned degree = 0;
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static constexpr bool has_canonical_representation = true;
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static constexpr double canonical_bounds[] = {
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-0x1.0000000000000p+0063, -0x1.0000000000000p+0063,
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+0x1.0000000000000p-0063, +0x1.0000000000000p-0063,
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+0x1.0000000000000p-0062, +0x1.0000000000000p-0062,
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+0x1.0000000000000p-0061, +0x1.0000000000000p-0061,
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+0x1.0000000000000p-0060, +0x1.0000000000000p-0060,
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+0x1.0000000000000p-0059, +0x1.0000000000000p-0059,
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+0x1.0000000000000p-0058, +0x1.0000000000000p-0058,
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+0x1.0000000000000p-0057, +0x1.0000000000000p-0057,
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+0x1.0000000000000p-0056, +0x1.0000000000000p-0056,
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+0x1.0000000000000p-0055, +0x1.0000000000000p-0055,
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+0x1.0000000000000p-0054, +0x1.0000000000000p-0054,
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+0x1.0000000000000p-0053, +0x1.0000000000000p-0053,
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+0x1.0000000000000p-0052, +0x1.0000000000000p-0052,
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+0x1.0000000000000p-0051, +0x1.0000000000000p-0051,
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+0x1.0000000000000p-0050, +0x1.0000000000000p-0050,
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+0x1.0000000000000p-0049, +0x1.0000000000000p-0049,
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+0x1.0000000000000p-0048, +0x1.0000000000000p-0048,
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+0x1.0000000000000p-0047, +0x1.0000000000000p-0047,
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+0x1.0000000000000p-0046, +0x1.0000000000000p-0046,
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+0x1.0000000000000p-0045, +0x1.0000000000000p-0045,
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+0x1.0000000000000p-0044, +0x1.0000000000000p-0044,
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+0x1.0000000000000p-0043, +0x1.0000000000000p-0043,
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+0x1.0000000000000p-0042, +0x1.0000000000000p-0042,
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+0x1.0000000000000p-0041, +0x1.0000000000000p-0041,
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+0x1.0000000000000p-0040, +0x1.0000000000000p-0040,
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+0x1.0000000000000p-0039, +0x1.0000000000000p-0039,
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+0x1.0000000000000p-0038, +0x1.0000000000000p-0038,
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+0x1.0000000000000p-0037, +0x1.0000000000000p-0037,
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+0x1.0000000000000p-0036, +0x1.0000000000000p-0036,
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+0x1.0000000000000p-0035, +0x1.0000000000000p-0035,
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+0x1.0000000000000p-0034, +0x1.0000000000000p-0034,
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+0x1.0000000000000p-0033, +0x1.0000000000000p-0033,
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+0x1.0000000000000p-0032, +0x1.0000000000000p-0032,
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+0x1.0000000000000p-0031, +0x1.0000000000000p-0031,
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+0x1.0000000000000p-0030, +0x1.0000000000000p-0030,
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+0x1.0000000000000p-0029, +0x1.0000000000000p-0029,
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+0x1.0000000000000p-0028, +0x1.0000000000000p-0028,
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+0x1.0000000000000p-0027, +0x1.0000000000000p-0027,
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+0x1.0000000000000p-0026, +0x1.0000000000000p-0026,
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+0x1.0000000000000p-0025, +0x1.0000000000000p-0025,
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+0x1.0000000000000p-0024, +0x1.0000000000000p-0024,
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+0x1.0000000000000p-0023, +0x1.0000000000000p-0023,
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+0x1.0000000000000p-0022, +0x1.0000000000000p-0022,
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+0x1.0000000000000p-0021, +0x1.0000000000000p-0021,
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+0x1.0000000000000p-0020, +0x1.0000000000000p-0020,
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+0x1.0000000000000p-0019, +0x1.0000000000000p-0019,
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+0x1.0000000000000p-0018, +0x1.0000000000000p-0018,
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+0x1.0000000000000p-0017, +0x1.0000000000000p-0017,
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+0x1.0000000000000p-0016, +0x1.0000000000000p-0016,
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+0x1.0000000000000p-0015, +0x1.0000000000000p-0015,
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+0x1.0000000000000p-0014, +0x1.0000000000000p-0014,
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+0x1.0000000000000p-0013, +0x1.0000000000000p-0013,
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+0x1.0000000000000p-0012, +0x1.0000000000000p-0012,
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+0x1.0000000000000p-0011, +0x1.0000000000000p-0011,
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+0x1.0000000000000p-0010, +0x1.0000000000000p-0010,
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+0x1.0000000000000p-0009, +0x1.0000000000000p-0009,
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+0x1.0000000000000p-0008, +0x1.0000000000000p-0008,
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+0x1.0000000000000p-0007, +0x1.0000000000000p-0007,
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+0x1.0000000000000p-0006, +0x1.0000000000000p-0006,
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+0x1.0000000000000p-0005, +0x1.0000000000000p-0005,
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+0x1.0000000000000p-0004, +0x1.0000000000000p-0004,
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+0x1.0000000000000p-0003, +0x1.0000000000000p-0003,
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+0x1.0000000000000p-0002, +0x1.0000000000000p-0002,
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+0x1.0000000000000p-0001, +0x1.0000000000000p-0001,
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+0x1.0000000000000p+0000, +0x1.0000000000000p+0000,
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+0x1.0000000000000p+0001, +0x1.0000000000000p+0001,
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+0x1.0000000000000p+0002, +0x1.0000000000000p+0002,
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+0x1.0000000000000p+0003, +0x1.0000000000000p+0003,
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+0x1.0000000000000p+0004, +0x1.0000000000000p+0004,
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+0x1.0000000000000p+0005, +0x1.0000000000000p+0005,
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+0x1.0000000000000p+0006, +0x1.0000000000000p+0006,
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+0x1.0000000000000p+0007, +0x1.0000000000000p+0007,
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+0x1.0000000000000p+0008, +0x1.0000000000000p+0008,
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+0x1.0000000000000p+0009, +0x1.0000000000000p+0009,
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+0x1.0000000000000p+0010, +0x1.0000000000000p+0010,
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+0x1.0000000000000p+0011, +0x1.0000000000000p+0011,
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+0x1.0000000000000p+0012, +0x1.0000000000000p+0012,
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+0x1.0000000000000p+0013, +0x1.0000000000000p+0013,
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+0x1.0000000000000p+0014, +0x1.0000000000000p+0014,
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+0x1.0000000000000p+0015, +0x1.0000000000000p+0015,
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+0x1.0000000000000p+0016, +0x1.0000000000000p+0016,
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+0x1.0000000000000p+0017, +0x1.0000000000000p+0017,
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+0x1.0000000000000p+0018, +0x1.0000000000000p+0018,
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+0x1.0000000000000p+0019, +0x1.0000000000000p+0019,
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+0x1.0000000000000p+0020, +0x1.0000000000000p+0020,
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+0x1.0000000000000p+0021, +0x1.0000000000000p+0021,
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+0x1.0000000000000p+0022, +0x1.0000000000000p+0022,
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+0x1.0000000000000p+0023, +0x1.0000000000000p+0023,
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+0x1.0000000000000p+0024, +0x1.0000000000000p+0024,
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+0x1.0000000000000p+0025, +0x1.0000000000000p+0025,
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+0x1.0000000000000p+0026, +0x1.0000000000000p+0026,
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+0x1.0000000000000p+0027, +0x1.0000000000000p+0027,
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+0x1.0000000000000p+0028, +0x1.0000000000000p+0028,
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+0x1.0000000000000p+0029, +0x1.0000000000000p+0029,
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+0x1.0000000000000p+0030, +0x1.0000000000000p+0030,
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+0x1.0000000000000p+0031, +0x1.0000000000000p+0031,
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+0x1.0000000000000p+0032, +0x1.0000000000000p+0032,
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+0x1.0000000000000p+0033, +0x1.0000000000000p+0033,
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+0x1.0000000000000p+0034, +0x1.0000000000000p+0034,
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+0x1.0000000000000p+0035, +0x1.0000000000000p+0035,
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+0x1.0000000000000p+0036, +0x1.0000000000000p+0036,
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+0x1.0000000000000p+0037, +0x1.0000000000000p+0037,
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+0x1.0000000000000p+0038, +0x1.0000000000000p+0038,
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+0x1.0000000000000p+0039, +0x1.0000000000000p+0039,
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+0x1.0000000000000p+0040, +0x1.0000000000000p+0040,
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+0x1.0000000000000p+0041, +0x1.0000000000000p+0041,
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+0x1.0000000000000p+0042, +0x1.0000000000000p+0042,
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+0x1.0000000000000p+0043, +0x1.0000000000000p+0043,
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+0x1.0000000000000p+0044, +0x1.0000000000000p+0044,
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+0x1.0000000000000p+0045, +0x1.0000000000000p+0045,
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+0x1.0000000000000p+0046, +0x1.0000000000000p+0046,
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+0x1.0000000000000p+0047, +0x1.0000000000000p+0047,
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+0x1.0000000000000p+0048, +0x1.0000000000000p+0048,
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+0x1.0000000000000p+0049, +0x1.0000000000000p+0049,
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+0x1.0000000000000p+0050, +0x1.0000000000000p+0050,
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+0x1.0000000000000p+0051, +0x1.0000000000000p+0051,
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+0x1.0000000000000p+0052, +0x1.0000000000000p+0052,
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+0x1.0000000000000p+0053, +0x1.0000000000000p+0053,
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+0x1.0000000000000p+0054, +0x1.0000000000000p+0054,
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+0x1.0000000000000p+0055, +0x1.0000000000000p+0055,
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+0x1.0000000000000p+0056, +0x1.0000000000000p+0056,
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+0x1.0000000000000p+0057, +0x1.0000000000000p+0057,
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+0x1.0000000000000p+0058, +0x1.0000000000000p+0058,
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+0x1.0000000000000p+0059, +0x1.0000000000000p+0059,
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+0x1.0000000000000p+0060, +0x1.0000000000000p+0060,
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+0x1.0000000000000p+0061, +0x1.0000000000000p+0061,
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+0x1.0000000000000p+0062, +0x1.0000000000000p+0062
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};
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static constexpr std::array<double, degree+1> canonical_polys[] = {
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1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
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0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0,
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1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
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0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0,
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1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
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0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0,
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1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
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0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0,
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1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
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0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0,
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1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0
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};
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};
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} // namespace gadgets
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} // namespace grotto
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#endif // LIBDPF_INCLUDE_GROTTO_GADGETS_BINARY_HAS_SINGLE_BIT_HPP__
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