🛠️🐜 Antkeeper superbuild with dependencies included
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299 lines
8.6 KiB
299 lines
8.6 KiB
#ifndef AL_NUMERIC_H
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#define AL_NUMERIC_H
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#include <algorithm>
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#include <cmath>
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#include <cstddef>
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#include <cstdint>
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#ifdef HAVE_INTRIN_H
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#include <intrin.h>
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#endif
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#ifdef HAVE_SSE_INTRINSICS
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#include <xmmintrin.h>
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#endif
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#include "opthelpers.h"
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inline constexpr int64_t operator "" _i64(unsigned long long int n) noexcept { return static_cast<int64_t>(n); }
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inline constexpr uint64_t operator "" _u64(unsigned long long int n) noexcept { return static_cast<uint64_t>(n); }
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constexpr inline float minf(float a, float b) noexcept
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{ return ((a > b) ? b : a); }
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constexpr inline float maxf(float a, float b) noexcept
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{ return ((a > b) ? a : b); }
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constexpr inline float clampf(float val, float min, float max) noexcept
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{ return minf(max, maxf(min, val)); }
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constexpr inline double mind(double a, double b) noexcept
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{ return ((a > b) ? b : a); }
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constexpr inline double maxd(double a, double b) noexcept
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{ return ((a > b) ? a : b); }
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constexpr inline double clampd(double val, double min, double max) noexcept
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{ return mind(max, maxd(min, val)); }
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constexpr inline unsigned int minu(unsigned int a, unsigned int b) noexcept
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{ return ((a > b) ? b : a); }
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constexpr inline unsigned int maxu(unsigned int a, unsigned int b) noexcept
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{ return ((a > b) ? a : b); }
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constexpr inline unsigned int clampu(unsigned int val, unsigned int min, unsigned int max) noexcept
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{ return minu(max, maxu(min, val)); }
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constexpr inline int mini(int a, int b) noexcept
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{ return ((a > b) ? b : a); }
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constexpr inline int maxi(int a, int b) noexcept
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{ return ((a > b) ? a : b); }
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constexpr inline int clampi(int val, int min, int max) noexcept
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{ return mini(max, maxi(min, val)); }
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constexpr inline int64_t mini64(int64_t a, int64_t b) noexcept
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{ return ((a > b) ? b : a); }
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constexpr inline int64_t maxi64(int64_t a, int64_t b) noexcept
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{ return ((a > b) ? a : b); }
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constexpr inline int64_t clampi64(int64_t val, int64_t min, int64_t max) noexcept
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{ return mini64(max, maxi64(min, val)); }
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constexpr inline uint64_t minu64(uint64_t a, uint64_t b) noexcept
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{ return ((a > b) ? b : a); }
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constexpr inline uint64_t maxu64(uint64_t a, uint64_t b) noexcept
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{ return ((a > b) ? a : b); }
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constexpr inline uint64_t clampu64(uint64_t val, uint64_t min, uint64_t max) noexcept
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{ return minu64(max, maxu64(min, val)); }
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constexpr inline size_t minz(size_t a, size_t b) noexcept
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{ return ((a > b) ? b : a); }
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constexpr inline size_t maxz(size_t a, size_t b) noexcept
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{ return ((a > b) ? a : b); }
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constexpr inline size_t clampz(size_t val, size_t min, size_t max) noexcept
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{ return minz(max, maxz(min, val)); }
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constexpr inline float lerpf(float val1, float val2, float mu) noexcept
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{ return val1 + (val2-val1)*mu; }
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constexpr inline float cubic(float val1, float val2, float val3, float val4, float mu) noexcept
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{
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const float mu2{mu*mu}, mu3{mu2*mu};
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const float a0{-0.5f*mu3 + mu2 + -0.5f*mu};
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const float a1{ 1.5f*mu3 + -2.5f*mu2 + 1.0f};
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const float a2{-1.5f*mu3 + 2.0f*mu2 + 0.5f*mu};
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const float a3{ 0.5f*mu3 + -0.5f*mu2};
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return val1*a0 + val2*a1 + val3*a2 + val4*a3;
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}
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/** Find the next power-of-2 for non-power-of-2 numbers. */
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inline uint32_t NextPowerOf2(uint32_t value) noexcept
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{
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if(value > 0)
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{
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value--;
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value |= value>>1;
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value |= value>>2;
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value |= value>>4;
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value |= value>>8;
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value |= value>>16;
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}
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return value+1;
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}
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/** Round up a value to the next multiple. */
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inline size_t RoundUp(size_t value, size_t r) noexcept
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{
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value += r-1;
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return value - (value%r);
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}
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/**
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* Fast float-to-int conversion. No particular rounding mode is assumed; the
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* IEEE-754 default is round-to-nearest with ties-to-even, though an app could
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* change it on its own threads. On some systems, a truncating conversion may
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* always be the fastest method.
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*/
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inline int fastf2i(float f) noexcept
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{
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#if defined(HAVE_SSE_INTRINSICS)
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return _mm_cvt_ss2si(_mm_set_ss(f));
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#elif defined(_MSC_VER) && defined(_M_IX86_FP)
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int i;
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__asm fld f
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__asm fistp i
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return i;
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#elif (defined(__GNUC__) || defined(__clang__)) && (defined(__i386__) || defined(__x86_64__))
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int i;
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#ifdef __SSE_MATH__
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__asm__("cvtss2si %1, %0" : "=r"(i) : "x"(f));
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#else
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__asm__ __volatile__("fistpl %0" : "=m"(i) : "t"(f) : "st");
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#endif
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return i;
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#else
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return static_cast<int>(f);
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#endif
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}
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inline unsigned int fastf2u(float f) noexcept
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{ return static_cast<unsigned int>(fastf2i(f)); }
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/** Converts float-to-int using standard behavior (truncation). */
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inline int float2int(float f) noexcept
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{
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#if defined(HAVE_SSE_INTRINSICS)
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return _mm_cvtt_ss2si(_mm_set_ss(f));
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#elif (defined(_MSC_VER) && defined(_M_IX86_FP) && _M_IX86_FP == 0) \
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|| ((defined(__GNUC__) || defined(__clang__)) && (defined(__i386__) || defined(__x86_64__)) \
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&& !defined(__SSE_MATH__))
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int sign, shift, mant;
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union {
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float f;
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int i;
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} conv;
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conv.f = f;
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sign = (conv.i>>31) | 1;
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shift = ((conv.i>>23)&0xff) - (127+23);
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/* Over/underflow */
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if UNLIKELY(shift >= 31 || shift < -23)
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return 0;
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mant = (conv.i&0x7fffff) | 0x800000;
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if LIKELY(shift < 0)
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return (mant >> -shift) * sign;
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return (mant << shift) * sign;
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#else
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return static_cast<int>(f);
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#endif
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}
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inline unsigned int float2uint(float f) noexcept
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{ return static_cast<unsigned int>(float2int(f)); }
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/** Converts double-to-int using standard behavior (truncation). */
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inline int double2int(double d) noexcept
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{
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#if defined(HAVE_SSE_INTRINSICS)
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return _mm_cvttsd_si32(_mm_set_sd(d));
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#elif (defined(_MSC_VER) && defined(_M_IX86_FP) && _M_IX86_FP < 2) \
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|| ((defined(__GNUC__) || defined(__clang__)) && (defined(__i386__) || defined(__x86_64__)) \
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&& !defined(__SSE2_MATH__))
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int sign, shift;
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int64_t mant;
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union {
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double d;
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int64_t i64;
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} conv;
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conv.d = d;
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sign = (conv.i64 >> 63) | 1;
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shift = ((conv.i64 >> 52) & 0x7ff) - (1023 + 52);
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/* Over/underflow */
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if UNLIKELY(shift >= 63 || shift < -52)
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return 0;
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mant = (conv.i64 & 0xfffffffffffff_i64) | 0x10000000000000_i64;
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if LIKELY(shift < 0)
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return (int)(mant >> -shift) * sign;
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return (int)(mant << shift) * sign;
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#else
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return static_cast<int>(d);
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#endif
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}
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/**
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* Rounds a float to the nearest integral value, according to the current
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* rounding mode. This is essentially an inlined version of rintf, although
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* makes fewer promises (e.g. -0 or -0.25 rounded to 0 may result in +0).
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*/
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inline float fast_roundf(float f) noexcept
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{
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#if (defined(__GNUC__) || defined(__clang__)) && (defined(__i386__) || defined(__x86_64__)) \
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&& !defined(__SSE_MATH__)
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float out;
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__asm__ __volatile__("frndint" : "=t"(out) : "0"(f));
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return out;
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#elif (defined(__GNUC__) || defined(__clang__)) && defined(__aarch64__)
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float out;
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__asm__ volatile("frintx %s0, %s1" : "=w"(out) : "w"(f));
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return out;
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#else
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/* Integral limit, where sub-integral precision is not available for
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* floats.
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*/
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static const float ilim[2]{
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8388608.0f /* 0x1.0p+23 */,
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-8388608.0f /* -0x1.0p+23 */
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};
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unsigned int sign, expo;
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union {
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float f;
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unsigned int i;
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} conv;
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conv.f = f;
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sign = (conv.i>>31)&0x01;
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expo = (conv.i>>23)&0xff;
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if UNLIKELY(expo >= 150/*+23*/)
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{
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/* An exponent (base-2) of 23 or higher is incapable of sub-integral
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* precision, so it's already an integral value. We don't need to worry
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* about infinity or NaN here.
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*/
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return f;
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}
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/* Adding the integral limit to the value (with a matching sign) forces a
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* result that has no sub-integral precision, and is consequently forced to
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* round to an integral value. Removing the integral limit then restores
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* the initial value rounded to the integral. The compiler should not
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* optimize this out because of non-associative rules on floating-point
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* math (as long as you don't use -fassociative-math,
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* -funsafe-math-optimizations, -ffast-math, or -Ofast, in which case this
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* may break).
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*/
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f += ilim[sign];
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return f - ilim[sign];
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#endif
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}
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template<typename T>
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constexpr const T& clamp(const T& value, const T& min_value, const T& max_value) noexcept
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{
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return std::min(std::max(value, min_value), max_value);
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}
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// Converts level (mB) to gain.
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inline float level_mb_to_gain(float x)
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{
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if(x <= -10'000.0f)
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return 0.0f;
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return std::pow(10.0f, x / 2'000.0f);
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}
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// Converts gain to level (mB).
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inline float gain_to_level_mb(float x)
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{
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if (x <= 0.0f)
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return -10'000.0f;
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return maxf(std::log10(x) * 2'000.0f, -10'000.0f);
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}
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#endif /* AL_NUMERIC_H */
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