261 lines
8.5 KiB
C++
261 lines
8.5 KiB
C++
/*
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* <Short Description>
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* Copyright (C) 2024 Brett Terpstra
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*
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* This program is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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#ifndef BLT_FIXED_POINT_H
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#define BLT_FIXED_POINT_H
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#include <blt/std/types.h>
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//#include <blt/std/utility.h>
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//#define BLT_DEBUG_NO_INLINE BLT_ATTRIB_NO_INLINE
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#define BLT_DEBUG_NO_INLINE
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#ifdef __GNUC__
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#pragma GCC diagnostic push
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#pragma GCC diagnostic ignored "-Wpedantic"
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#endif
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namespace blt
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{
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struct fp64
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{
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private:
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i64 v = 0;
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constexpr fp64() = default;
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public:
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constexpr explicit fp64(u64 ui): v(from_u64(ui))
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{}
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constexpr explicit fp64(i64 si): v(from_i64(si))
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{}
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constexpr explicit fp64(u32 ui): v(from_u32(ui))
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{}
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constexpr explicit fp64(i32 si): v(from_i32(si))
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{}
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constexpr explicit fp64(f32 f): v(from_f32(f))
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{}
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constexpr explicit fp64(f64 d): v(from_f64(d))
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{}
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constexpr static inline fp64 from_raw(i64 i)
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{
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fp64 r;
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r.v = i;
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return r;
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}
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constexpr static inline fp64 from_raw_u64(u64 u)
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{
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fp64 r;
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r.v = static_cast<i64>(u);
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return r;
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}
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constexpr static inline fp64 from_u64(u64 ui)
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{
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return from_i64(static_cast<i64>(ui));
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}
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constexpr static inline fp64 from_i64(i64 si)
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{
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return from_raw(si << 32);
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}
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constexpr static inline fp64 from_u32(u32 ui)
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{
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return from_i64(static_cast<i64>(ui));
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}
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constexpr static inline fp64 from_i32(i32 si)
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{
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return from_i64(static_cast<i64>(si));
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}
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constexpr static inline fp64 from_f64(f64 d)
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{
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fp64 fp;
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fp.v = static_cast<i64>(d * (1ul << 32ul));
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return fp;
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}
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constexpr static inline fp64 from_f32(f32 f)
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{
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return from_f64(static_cast<double>(f));
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}
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BLT_DEBUG_NO_INLINE constexpr friend inline fp64 operator+(fp64 left, fp64 right)
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{
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return from_raw(left.v + right.v);
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}
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BLT_DEBUG_NO_INLINE constexpr friend inline fp64 operator-(fp64 left, fp64 right)
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{
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return from_raw(left.v - right.v);
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}
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BLT_DEBUG_NO_INLINE constexpr friend inline fp64 operator*(fp64 left, fp64 right)
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{
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auto lhs = static_cast<__int128>(left.v);
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auto rhs = static_cast<__int128>(right.v);
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return from_raw(static_cast<i64>((lhs * rhs) >> 32));
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}
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BLT_DEBUG_NO_INLINE constexpr friend inline fp64 operator/(fp64 left, fp64 right)
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{
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auto lhs = static_cast<__int128>(left.v) << 32;
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return from_raw(static_cast<i64>(lhs / right.v));
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}
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BLT_DEBUG_NO_INLINE constexpr inline fp64& operator+=(fp64 add)
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{
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v += add.v;
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return *this;
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}
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BLT_DEBUG_NO_INLINE constexpr inline fp64& operator-=(fp64 sub)
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{
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v -= sub.v;
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return *this;
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}
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BLT_DEBUG_NO_INLINE constexpr inline fp64& operator*=(fp64 mul)
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{
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auto lhs = static_cast<__int128>(v);
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auto rhs = static_cast<__int128>(mul.v);
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v = static_cast<i64>((lhs * rhs) >> 32);
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return *this;
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}
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BLT_DEBUG_NO_INLINE constexpr inline fp64& operator/=(fp64 div)
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{
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auto lhs = static_cast<__int128>(v) << 32;
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v = static_cast<i64>(lhs / div.v);
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return *this;
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}
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[[nodiscard]] constexpr inline u64 as_u64() const
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{
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return static_cast<u64>(v) >> 32;
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}
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[[nodiscard]] constexpr inline i64 as_i64() const
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{
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return v >> 32;
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}
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[[nodiscard]] constexpr inline u32 as_u32() const
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{
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return static_cast<u32>(v >> 32);
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}
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[[nodiscard]] constexpr inline i32 as_i32() const
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{
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return static_cast<i32>(v >> 32);
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}
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[[nodiscard]] constexpr inline f64 as_f64() const
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{
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return static_cast<f64>(v) / static_cast<f64>(1ul << 32ul);
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}
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[[nodiscard]] constexpr inline f32 as_f32() const
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{
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return static_cast<f32>(v) / static_cast<f32>(1ul << 32ul);
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}
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constexpr inline explicit operator u64() const
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{
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return as_u64();
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}
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constexpr inline explicit operator i64() const
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{
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return as_i64();
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}
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constexpr inline explicit operator u32() const
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{
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return as_u32();
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}
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constexpr inline explicit operator i32() const
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{
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return as_i32();
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}
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constexpr inline explicit operator f32() const
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{
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return as_f32();
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};
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constexpr inline explicit operator f64() const
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{
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return as_f64();
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}
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[[nodiscard]] constexpr u64 raw() const
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{
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return v;
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}
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};
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// max unsigned integer value
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static constexpr const inline fp64 FP64_UMAX = fp64::from_raw_u64(0xFFFFFFFF00000000);
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// min unsigned integer value
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static constexpr const inline fp64 FP64_UMIN = fp64::from_raw_u64(0x0000000000000000);
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// max signed integer value
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static constexpr const inline fp64 FP64_IMAX = fp64::from_raw_u64(0x7FFFFFFF00000000);
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// min signed integer value
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static constexpr const inline fp64 FP64_IMIN = fp64::from_raw_u64(0x8000000000000000);
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// max value storable including floating point
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static constexpr const inline fp64 FP64_FMAX = fp64::from_raw_u64(0x7FFFFFFFFFFFFFFF);
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// min float point number
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static constexpr const inline fp64 FP64_FMIN = fp64::from_raw_u64(0x8000000000000000);
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// smallest decimal number
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static constexpr const inline fp64 FP64_EPSILON = fp64::from_raw_u64(0x0000000000000001);
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// pi
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static constexpr const inline fp64 FP64_PI = fp64::from_f64(3.14159265358979323846);
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// pi / 2
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static constexpr const inline fp64 FP64_PI_2 = fp64::from_f64(1.57079632679489661923);
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// pi / 4
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static constexpr const inline fp64 FP64_PI_4 = fp64::from_f64(0.78539816339744830962);
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// 1 / pi
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static constexpr const inline fp64 FP64_1_PI = fp64::from_f64(0.31830988618379067154);
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// 2 / pi
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static constexpr const inline fp64 FP64_2_PI = fp64::from_f64(0.63661977236758134308);
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// sqrt(2)
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static constexpr const inline fp64 FP64_SQRT2 = fp64::from_f64(1.41421356237309504880);
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// 1 / sqrt(2)
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static constexpr const inline fp64 FP64_1_SQRT2 = fp64::from_f64(0.70710678118654752440);
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// e
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static constexpr const inline fp64 FP64_E = fp64::from_f64(2.7182818284590452354f);
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// log2(e)
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static constexpr const inline fp64 FP64_LOG2E = fp64::from_f64(1.4426950408889634074f);
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}
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#ifdef __GNUC__
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#pragma GCC diagnostic pop
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#endif
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#endif //BLT_FIXED_POINT_H
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