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arithmetic.hpp
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arithmetic.hpp
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#pragma once
//multi-precision arithmetic
//warning: each size is quadratically more expensive than the size before it!
#include <nall/stdint.hpp>
#include <nall/string.hpp>
#include <nall/range.hpp>
#include <nall/traits.hpp>
#include <nall/arithmetic/unsigned.hpp>
namespace nall {
template<u32 Bits> struct ArithmeticNatural;
template<> struct ArithmeticNatural< 8> { using type = u8; };
template<> struct ArithmeticNatural< 16> { using type = u16; };
template<> struct ArithmeticNatural< 32> { using type = u32; };
template<> struct ArithmeticNatural< 64> { using type = u64; };
#if defined(__SIZEOF_INT128__)
template<> struct ArithmeticNatural<128> { using type = u128; };
#endif
}
#if !defined(__SIZEOF_INT128__)
#define PairBits 128
#define TypeBits 64
#define HalfBits 32
#include <nall/arithmetic/natural.hpp>
#undef PairBits
#undef TypeBits
#undef HalfBits
#endif
#define PairBits 256
#define TypeBits 128
#define HalfBits 64
#include <nall/arithmetic/natural.hpp>
#undef PairBits
#undef TypeBits
#undef HalfBits
#define PairBits 512
#define TypeBits 256
#define HalfBits 128
#include <nall/arithmetic/natural.hpp>
#undef PairBits
#undef TypeBits
#undef HalfBits
#define PairBits 1024
#define TypeBits 512
#define HalfBits 256
#include <nall/arithmetic/natural.hpp>
#undef PairBits
#undef TypeBits
#undef HalfBits
#define PairBits 2048
#define TypeBits 1024
#define HalfBits 512
#include <nall/arithmetic/natural.hpp>
#undef PairBits
#undef TypeBits
#undef HalfBits
#define PairBits 4096
#define TypeBits 2048
#define HalfBits 1024
#include <nall/arithmetic/natural.hpp>
#undef PairBits
#undef TypeBits
#undef HalfBits
#define PairBits 8192
#define TypeBits 4096
#define HalfBits 2048
#include <nall/arithmetic/natural.hpp>
#undef PairBits
#undef TypeBits
#undef HalfBits
namespace nall {
//TODO: these types are for expressing smaller bit ranges in class interfaces
//for instance, XChaCha20 taking a 192-bit nonce
//however, they still allow more bits than expressed ...
//some sort of wrapper needs to be devised to ensure these sizes are masked and wrap appropriately
using u192 = u256;
}