#pragma once #include "FastSIMD/InlInclude.h" #include namespace FastNoise { namespace Primes { static constexpr int X = 501125321; static constexpr int Y = 1136930381; static constexpr int Z = 1720413743; static constexpr int W = 1066037191; static constexpr int Lookup[] = { X,Y,Z,W }; } template struct Utils { using float32v = typename FS::float32v; using int32v = typename FS::int32v; using mask32v = typename FS::mask32v; static constexpr float ROOT2 = 1.4142135623730950488f; static constexpr float ROOT3 = 1.7320508075688772935f; template* = nullptr> FS_INLINE static float32v GetGradientDotFancy( int32v hash, float32v fX, float32v fY ) { int32v index = FS_Convertf32_i32( FS_Converti32_f32( hash & int32v( 0x3FFFFF ) ) * float32v( 1.3333333333333333f ) ); // Bit-4 = Choose X Y ordering mask32v xy; if constexpr( FS::SIMD_Level == FastSIMD::Level_Scalar ) { xy = int32_t( index & int32v( 1 << 2 ) ) != 0; } else { xy = index << 29; if constexpr( FS::SIMD_Level < FastSIMD::Level_SSE41 ) { xy >>= 31; } } float32v a = FS_Select_f32( xy, fY, fX ); float32v b = FS_Select_f32( xy, fX, fY ); // Bit-1 = b flip sign b ^= FS_Casti32_f32( index << 31 ); // Bit-2 = Mul a by 2 or Root3 mask32v aMul2; if constexpr( FS::SIMD_Level == FastSIMD::Level_Scalar ) { aMul2 = int32_t( index & int32v( 1 << 1 ) ) != 0; } else { aMul2 = (index << 30) >> 31; } a *= FS_Select_f32( aMul2, float32v( 2 ), float32v( ROOT3 ) ); // b zero value if a mul 2 b = FS_NMask_f32( b, aMul2 ); // Bit-8 = Flip sign of a + b return ( a + b ) ^ FS_Casti32_f32( (index >> 3) << 31 ); } template* = nullptr> FS_INLINE static float32v GetGradientDotFancy( int32v hash, float32v fX, float32v fY ) { int32v index = FS_Convertf32_i32( FS_Converti32_f32( hash & int32v( 0x3FFFFF ) ) * float32v( 1.3333333333333333f ) ); // Bit-4 = Choose X Y ordering mask32v xy; // if constexpr( FS::SIMD_Level == FastSIMD::Level_Scalar ) // { // xy = int32_t( index & int32v( 1 << 2 ) ) != 0; // } // else // { xy = index << 29; // if constexpr( FS::SIMD_Level < FastSIMD::Level_SSE41 ) // { xy >>= 31; // } // } float32v a = FS_Select_f32( xy, fY, fX ); float32v b = FS_Select_f32( xy, fX, fY ); // Bit-1 = b flip sign b ^= FS_Casti32_f32( index << 31 ); // Bit-2 = Mul a by 2 or Root3 mask32v aMul2; // if constexpr( FS::SIMD_Level == FastSIMD::Level_Scalar ) // { // aMul2 = int32_t( index & int32v( 1 << 1 ) ) != 0; // } // else // { aMul2 = (index << 30) >> 31; // } a *= FS_Select_f32( aMul2, float32v( 2 ), float32v( ROOT3 ) ); // b zero value if a mul 2 b = FS_NMask_f32( b, aMul2 ); // Bit-8 = Flip sign of a + b return ( a + b ) ^ FS_Casti32_f32( (index >> 3) << 31 ); } template* = nullptr> FS_INLINE static float32v GetGradientDotFancy( int32v hash, float32v fX, float32v fY ) { int32v index = FS_Convertf32_i32( FS_Converti32_f32( hash & int32v( 0x3FFFFF ) ) * float32v( 1.3333333333333333f ) ); float32v gX = _mm256_permutevar8x32_ps( float32v( ROOT3, ROOT3, 2, 2, 1, -1, 0, 0 ), index ); float32v gY = _mm256_permutevar8x32_ps( float32v( 1, -1, 0, 0, ROOT3, ROOT3, 2, 2 ), index ); // Bit-8 = Flip sign of a + b return FS_FMulAdd_f32( gX, fX, fY * gY ) ^ FS_Casti32_f32( (index >> 3) << 31 ); } template* = nullptr> FS_INLINE static float32v GetGradientDotFancy( int32v hash, float32v fX, float32v fY ) { int32v index = FS_Convertf32_i32( FS_Converti32_f32( hash & int32v( 0x3FFFFF ) ) * float32v( 1.3333333333333333f ) ); float32v gX = _mm512_permutexvar_ps( index, float32v( ROOT3, ROOT3, 2, 2, 1, -1, 0, 0, -ROOT3, -ROOT3, -2, -2, -1, 1, 0, 0 ) ); float32v gY = _mm512_permutexvar_ps( index, float32v( 1, -1, 0, 0, ROOT3, ROOT3, 2, 2, -1, 1, 0, 0, -ROOT3, -ROOT3, -2, -2 ) ); return FS_FMulAdd_f32( gX, fX, fY * gY ); } template* = nullptr> FS_INLINE static float32v GetGradientDot( int32v hash, float32v fX, float32v fY ) { // ( 1+R2, 1 ) ( -1-R2, 1 ) ( 1+R2, -1 ) ( -1-R2, -1 ) // ( 1, 1+R2 ) ( 1, -1-R2 ) ( -1, 1+R2 ) ( -1, -1-R2 ) int32v bit1 = (hash << 31); int32v bit2 = (hash >> 1) << 31; mask32v bit4; if constexpr( FS::SIMD_Level == FastSIMD::Level_Scalar ) { bit4 = int32_t( hash & int32v( 1 << 2 ) ) != 0; } else { bit4 = hash << 29; if constexpr( FS::SIMD_Level < FastSIMD::Level_SSE41 ) { bit4 >>= 31; } } fX ^= FS_Casti32_f32( bit1 ); fY ^= FS_Casti32_f32( bit2 ); float32v a = FS_Select_f32( bit4, fY, fX ); float32v b = FS_Select_f32( bit4, fX, fY ); return FS_FMulAdd_f32( float32v( 1.0f + ROOT2 ), a, b ); } template * = nullptr> FS_INLINE static float32v GetGradientDot( int32v hash, float32v fX, float32v fY ) { // ( 1+R2, 1 ) ( -1-R2, 1 ) ( 1+R2, -1 ) ( -1-R2, -1 ) // ( 1, 1+R2 ) ( 1, -1-R2 ) ( -1, 1+R2 ) ( -1, -1-R2 ) int32v bit1 = (hash << 31); int32v bit2 = (hash >> 1) << 31; mask32v bit4; // if constexpr( FS::SIMD_Level == FastSIMD::Level_Scalar ) // { // bit4 = int32_t( hash & int32v( 1 << 2 ) ) != 0; // } // else // { bit4 = hash << 29; // // if constexpr( FS::SIMD_Level < FastSIMD::Level_SSE41 ) // { bit4 >>= 31; // } // } fX ^= FS_Casti32_f32( bit1 ); fY ^= FS_Casti32_f32( bit2 ); float32v a = FS_Select_f32( bit4, fY, fX ); float32v b = FS_Select_f32( bit4, fX, fY ); return FS_FMulAdd_f32( float32v( 1.0f + ROOT2 ), a, b ); } template* = nullptr> FS_INLINE static float32v GetGradientDot( int32v hash, float32v fX, float32v fY ) { float32v gX = _mm256_permutevar8x32_ps( float32v( 1 + ROOT2, -1 - ROOT2, 1 + ROOT2, -1 - ROOT2, 1, -1, 1, -1 ), hash ); float32v gY = _mm256_permutevar8x32_ps( float32v( 1, 1, -1, -1, 1 + ROOT2, 1 + ROOT2, -1 - ROOT2, -1 - ROOT2 ), hash ); return FS_FMulAdd_f32( gX, fX, fY * gY ); } template * = nullptr> FS_INLINE static float32v GetGradientDot( int32v hash, float32v fX, float32v fY ) { float32v gX = _mm512_permutexvar_ps( hash, float32v( 1 + ROOT2, -1 - ROOT2, 1 + ROOT2, -1 - ROOT2, 1, -1, 1, -1, 1 + ROOT2, -1 - ROOT2, 1 + ROOT2, -1 - ROOT2, 1, -1, 1, -1 ) ); float32v gY = _mm512_permutexvar_ps( hash, float32v( 1, 1, -1, -1, 1 + ROOT2, 1 + ROOT2, -1 - ROOT2, -1 - ROOT2, 1, 1, -1, -1, 1 + ROOT2, 1 + ROOT2, -1 - ROOT2, -1 - ROOT2 ) ); return FS_FMulAdd_f32( gX, fX, fY * gY ); } template * = nullptr > FS_INLINE static float32v GetGradientDot( int32v hash, float32v fX, float32v fY, float32v fZ ) { int32v hasha13 = hash & int32v( 13 ); //if h < 8 then x, else y float32v u = FS_Select_f32( hasha13 < int32v( 8 ), fX, fY ); //if h < 4 then y else if h is 12 or 14 then x else z float32v v = FS_Select_f32( hasha13 == int32v( 12 ), fX, fZ ); v = FS_Select_f32( hasha13 < int32v( 2 ), fY, v ); //if h1 then -u else u //if h2 then -v else v float32v h1 = FS_Casti32_f32( hash << 31 ); float32v h2 = FS_Casti32_f32( (hash & int32v( 2 )) << 30 ); //then add them return ( u ^ h1 ) + ( v ^ h2 ); } template* = nullptr> FS_INLINE static float32v GetGradientDot( int32v hash, float32v fX, float32v fY, float32v fZ ) { float32v gX = _mm512_permutexvar_ps( hash, float32v( 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 1, 0, -1, 0 ) ); float32v gY = _mm512_permutexvar_ps( hash, float32v( 1, 1, -1, -1, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1 ) ); float32v gZ = _mm512_permutexvar_ps( hash, float32v( 0, 0, 0, 0, 1, 1, -1, -1, 1, 1, -1, -1, 0, 1, 0, -1 ) ); return FS_FMulAdd_f32( gX, fX, FS_FMulAdd_f32( fY, gY, fZ * gZ )); } template* = nullptr > FS_INLINE static float32v GetGradientDot( int32v hash, float32v fX, float32v fY, float32v fZ, float32v fW ) { int32v p = hash & int32v( 3 << 3 ); float32v a = FS_Select_f32( p > int32v( 0 ), fX, fY ); float32v b; if constexpr( FS::SIMD_Level <= FastSIMD::Level_SSE2 ) { b = FS_Select_f32( p > int32v( 1 << 3 ), fY, fZ ); } else { b = FS_Select_f32( hash << 27, fY, fZ ); } float32v c = FS_Select_f32( p > int32v( 2 << 3 ), fZ, fW ); float32v aSign = FS_Casti32_f32( hash << 31 ); float32v bSign = FS_Casti32_f32( (hash << 30) & int32v( 0x80000000 ) ); float32v cSign = FS_Casti32_f32( (hash << 29) & int32v( 0x80000000 ) ); return ( a ^ aSign ) + ( b ^ bSign ) + ( c ^ cSign ); } template* = nullptr> FS_INLINE static float32v GetGradientDot( int32v hash, float32v fX, float32v fY, float32v fZ, float32v fW ) { float32v gX = _mm512_permutex2var_ps( float32v( 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1 ), hash, float32v( 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1 ) ); float32v gY = _mm512_permutex2var_ps( float32v( 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0 ), hash, float32v( 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1 ) ); float32v gZ = _mm512_permutex2var_ps( float32v( 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1 ), hash, float32v( 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1 ) ); float32v gW = _mm512_permutex2var_ps( float32v( 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1 ), hash, float32v( 1, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0 ) ); return FS_FMulAdd_f32( gX, fX, FS_FMulAdd_f32( fY, gY, FS_FMulAdd_f32( fZ, gZ, fW * gW ) )); } template FS_INLINE static int32v HashPrimes( int32v seed, P... primedPos ) { int32v hash = seed; hash ^= (primedPos ^ ...); hash *= int32v( 0x27d4eb2d ); return (hash >> 15) ^ hash; } template FS_INLINE static int32v HashPrimesHB( int32v seed, P... primedPos ) { int32v hash = seed; hash ^= (primedPos ^ ...); hash *= int32v( 0x27d4eb2d ); return hash; } template FS_INLINE static float32v GetValueCoord( int32v seed, P... primedPos ) { int32v hash = seed; hash ^= (primedPos ^ ...); hash *= hash * int32v( 0x27d4eb2d ); return FS_Converti32_f32( hash ) * float32v( 1.0f / (float)INT_MAX ); } template FS_INLINE static float32v Lerp( float32v a, float32v b, float32v t ) { return FS_FMulAdd_f32( t, b - a, a ); } template FS_INLINE static float32v InterpHermite( float32v t ) { return t * t * FS_FNMulAdd_f32( t, float32v( 2 ), float32v( 3 )); } template FS_INLINE static float32v InterpQuintic( float32v t ) { return t * t * t * FS_FMulAdd_f32( t, FS_FMulAdd_f32( t, float32v( 6 ), float32v( -15 )), float32v( 10 ) ); } template FS_INLINE static float32v CalcDistance( DistanceFunction distFunc, float32v dX, P... d ) { switch( distFunc ) { default: case DistanceFunction::Euclidean: { float32v distSqr = dX * dX; ((distSqr = FS_FMulAdd_f32( d, d, distSqr )), ...); return FS_InvSqrt_f32( distSqr ) * distSqr; } case DistanceFunction::EuclideanSquared: { float32v distSqr = dX * dX; ((distSqr = FS_FMulAdd_f32( d, d, distSqr )), ...); return distSqr; } case DistanceFunction::Manhattan: { float32v dist = FS_Abs_f32( dX ); dist += (FS_Abs_f32( d ) + ...); return dist; } case DistanceFunction::Hybrid: { float32v both = FS_FMulAdd_f32( dX, dX, FS_Abs_f32( dX ) ); ((both += FS_FMulAdd_f32( d, d, FS_Abs_f32( d ) )), ...); return both; } case DistanceFunction::MaxAxis: { float32v max = FS_Abs_f32( dX ); ((max = FS_Max_f32( FS_Abs_f32(d), max )), ...); return max; } } } }; } using FnUtils = FastNoise::Utils; namespace FnPrimes = FastNoise::Primes;