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