145 lines
2.7 KiB
C++
145 lines
2.7 KiB
C++
#pragma once
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#include <BAN/Limits.h>
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#include <BAN/Traits.h>
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#include <stddef.h>
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#include <stdint.h>
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namespace BAN::Math
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{
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template<typename T>
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inline constexpr T abs(T val)
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{
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return val < 0 ? -val : val;
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}
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template<typename T>
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inline constexpr T min(T a, T b)
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{
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return a < b ? a : b;
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}
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template<typename T>
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inline constexpr T max(T a, T b)
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{
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return a > b ? a : b;
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}
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template<typename T>
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inline constexpr T clamp(T x, T min, T max)
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{
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return x < min ? min : x > max ? max : x;
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}
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template<integral T>
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inline constexpr T gcd(T a, T b)
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{
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T t;
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while (b)
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{
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t = b;
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b = a % b;
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a = t;
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}
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return a;
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}
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template<integral T>
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inline constexpr T lcm(T a, T b)
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{
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return a / gcd(a, b) * b;
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}
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template<integral T>
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inline constexpr T div_round_up(T a, T b)
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{
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return (a + b - 1) / b;
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}
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template<integral T>
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inline constexpr bool is_power_of_two(T value)
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{
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if (value == 0)
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return false;
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return (value & (value - 1)) == 0;
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}
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template<BAN::integral T>
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static constexpr bool will_multiplication_overflow(T a, T b)
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{
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if (a == 0 || b == 0)
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return false;
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if ((a > 0) == (b > 0))
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return a > BAN::numeric_limits<T>::max() / b;
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else
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return a < BAN::numeric_limits<T>::min() / b;
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}
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template<BAN::integral T>
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static constexpr bool will_addition_overflow(T a, T b)
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{
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if (a > 0 && b > 0)
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return a > BAN::numeric_limits<T>::max() - b;
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if (a < 0 && b < 0)
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return a < BAN::numeric_limits<T>::min() - b;
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return false;
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}
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template<typename T>
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requires is_same_v<T, unsigned int> || is_same_v<T, unsigned long> || is_same_v<T, unsigned long long>
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inline constexpr T ilog2(T value)
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{
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if constexpr(is_same_v<T, unsigned int>)
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return sizeof(T) * 8 - __builtin_clz(value) - 1;
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if constexpr(is_same_v<T, unsigned long>)
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return sizeof(T) * 8 - __builtin_clzl(value) - 1;
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return sizeof(T) * 8 - __builtin_clzll(value) - 1;
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}
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template<floating_point T>
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inline constexpr T log2(T value)
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{
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T result;
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asm volatile("fyl2x" : "=t"(result) : "0"(value), "u"((T)1.0) : "st(1)");
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return result;
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}
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template<floating_point T>
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inline constexpr T log10(T value)
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{
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constexpr T INV_LOG_2_10 = 0.3010299956639811952137388947244930267681898814621085413104274611;
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T result;
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asm volatile("fyl2x" : "=t"(result) : "0"(value), "u"(INV_LOG_2_10) : "st(1)");
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return result;
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}
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template<floating_point T>
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inline constexpr T log(T value, T base)
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{
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return log2(value) / log2(base);
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}
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template<floating_point T>
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inline constexpr T pow(T base, T exp)
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{
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T result;
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asm volatile(
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"fyl2x;"
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"fld1;"
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"fld %%st(1);"
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"fprem;"
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"f2xm1;"
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"faddp;"
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"fscale;"
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"fxch %%st(1);"
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"fstp %%st;"
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: "=t"(result)
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: "0"(base), "u"(exp)
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);
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return result;
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}
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}
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