From 5ae8d4ebf2ce03813d08e5bc7b82db98a3fb2957 Mon Sep 17 00:00:00 2001 From: Jhen-Jie Hong Date: Mon, 24 Nov 2025 15:08:03 +0800 Subject: [PATCH] feat(ios): load ggml-metal.metal instead of prebuilt metallib --- cpp/ggml-metal/ggml-metal-device.m | 6 +- cpp/ggml-metal/ggml-metal.metal | 12436 ++++++++++++++++++++ example/ios/Podfile.lock | 4 +- llama-rn.podspec | 2 +- scripts/bootstrap.sh | 55 +- scripts/build-ios.sh | 8 +- scripts/patches/ggml-metal-device.m.patch | 15 - 7 files changed, 12472 insertions(+), 54 deletions(-) create mode 100644 cpp/ggml-metal/ggml-metal.metal delete mode 100644 scripts/patches/ggml-metal-device.m.patch diff --git a/cpp/ggml-metal/ggml-metal-device.m b/cpp/ggml-metal/ggml-metal-device.m index 2b8562fc..7c82878a 100644 --- a/cpp/ggml-metal/ggml-metal-device.m +++ b/cpp/ggml-metal/ggml-metal-device.m @@ -181,11 +181,7 @@ lm_ggml_metal_library_t lm_ggml_metal_library_init(lm_ggml_metal_device_t dev) { NSBundle * bundle = [NSBundle bundleForClass:[LMGGMLMetalClass class]]; #endif -#if TARGET_OS_SIMULATOR - NSString * path_lib = [bundle pathForResource:@"ggml-llama-sim" ofType:@"metallib"]; -#else - NSString * path_lib = [bundle pathForResource:@"ggml-llama" ofType:@"metallib"]; -#endif + NSString * path_lib = [bundle pathForResource:@"default" ofType:@"metallib"]; if (path_lib == nil) { // Try to find the resource in the directory where the current binary located. NSString * bin_cur = [[NSProcessInfo processInfo] arguments][0]; diff --git a/cpp/ggml-metal/ggml-metal.metal b/cpp/ggml-metal/ggml-metal.metal new file mode 100644 index 00000000..3cc5dac1 --- /dev/null +++ b/cpp/ggml-metal/ggml-metal.metal @@ -0,0 +1,12436 @@ +#define LM_GGML_COMMON_DECL_METAL +#define LM_GGML_COMMON_IMPL_METAL +#ifndef LM_GGML_COMMON_DECL + +#if defined(LM_GGML_COMMON_DECL_C) +#include + +typedef uint16_t lm_ggml_half; +typedef uint32_t lm_ggml_half2; + +#define LM_GGML_COMMON_AGGR_U +#define LM_GGML_COMMON_AGGR_S + +#define LM_GGML_COMMON_DECL +#elif defined(LM_GGML_COMMON_DECL_CPP) +#include + +typedef uint16_t lm_ggml_half; +typedef uint32_t lm_ggml_half2; + +// std-c++ allow anonymous unions but some compiler warn on it +#define LM_GGML_COMMON_AGGR_U data +// std-c++ do not allow it. +#define LM_GGML_COMMON_AGGR_S data + +#define LM_GGML_COMMON_DECL +#elif defined(LM_GGML_COMMON_DECL_METAL) +#include + +typedef half lm_ggml_half; +typedef half2 lm_ggml_half2; + +#define LM_GGML_COMMON_AGGR_U +#define LM_GGML_COMMON_AGGR_S + +#define LM_GGML_COMMON_DECL +#elif defined(LM_GGML_COMMON_DECL_CUDA) +#if defined(LM_GGML_COMMON_DECL_MUSA) +#include +#else +#include +#endif +#include + +typedef half lm_ggml_half; +typedef half2 lm_ggml_half2; + +#define LM_GGML_COMMON_AGGR_U +#define LM_GGML_COMMON_AGGR_S data + +#define LM_GGML_COMMON_DECL +#elif defined(LM_GGML_COMMON_DECL_HIP) +#include +#include + +typedef half lm_ggml_half; +typedef half2 lm_ggml_half2; + +#define LM_GGML_COMMON_AGGR_U +#define LM_GGML_COMMON_AGGR_S data + +#define LM_GGML_COMMON_DECL +#elif defined(LM_GGML_COMMON_DECL_SYCL) +#include +#include + +typedef sycl::half lm_ggml_half; +typedef sycl::half2 lm_ggml_half2; + +#define LM_GGML_COMMON_AGGR_U +#define LM_GGML_COMMON_AGGR_S data + +#define LM_GGML_COMMON_DECL +#endif + +#if defined(LM_GGML_COMMON_DECL) + +#ifndef __cplusplus +#ifndef static_assert +#if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 201100L) +#define static_assert(cond, msg) _Static_assert(cond, msg) +#else +#define static_assert(cond, msg) struct global_scope_noop_trick +#endif +#endif +#endif // __cplusplus + +// QK = number of values after dequantization +// QK_K = super-block size + +#define QK_K 256 +#define K_SCALE_SIZE 12 + +#if defined(LM_GGML_COMMON_DECL_CUDA) || defined(LM_GGML_COMMON_DECL_HIP) || defined(LM_GGML_COMMON_DECL_SYCL) +// QR = QK / number of values before dequantization +// QI = number of 32 bit integers before dequantization + +#define QI4_0 (QK4_0 / (4 * QR4_0)) +#define QR4_0 2 + +#define QI4_1 (QK4_1 / (4 * QR4_1)) +#define QR4_1 2 + +#define QI_MXFP4 (QK_MXFP4 / (4 * QR_MXFP4)) +#define QR_MXFP4 2 + +#define QI5_0 (QK5_0 / (4 * QR5_0)) +#define QR5_0 2 + +#define QI5_1 (QK5_1 / (4 * QR5_1)) +#define QR5_1 2 + +#define QI8_0 (QK8_0 / (4 * QR8_0)) +#define QR8_0 1 + +#define QI8_1 (QK8_1 / (4 * QR8_1)) +#define QR8_1 1 + +#define QI2_K (QK_K / (4*QR2_K)) +#define QR2_K 4 + +#define QI3_K (QK_K / (4*QR3_K)) +#define QR3_K 4 + +#define QI4_K (QK_K / (4*QR4_K)) +#define QR4_K 2 + +#define QI5_K (QK_K / (4*QR5_K)) +#define QR5_K 2 + +#define QI6_K (QK_K / (4*QR6_K)) +#define QR6_K 2 + +#define QI2_XXS (QK_K / (4*QR2_XXS)) +#define QR2_XXS 4 + +#define QI2_XS (QK_K / (4*QR2_XS)) +#define QR2_XS 4 + +#define QI2_S (QK_K / (4*QR2_S)) +#define QR2_S 4 + +#define QI3_XXS (QK_K / (4*QR3_XXS)) +#define QR3_XXS 4 + +#define QI3_XS (QK_K / (4*QR3_XS)) +#define QR3_XS 4 + +#define QI1_S (QK_K / (4*QR1_S)) +#define QR1_S 8 + +#define QI1_M (QK_K / (4*QR1_M)) +#define QR1_M 8 + +#define QI4_NL (QK4_NL / (4*QR4_NL)) +#define QR4_NL 2 + +#define QI4_XS (QK_K / (4*QR4_XS)) +#define QR4_XS 2 + +#define QI3_S (QK_K / (4*QR3_S)) +#define QR3_S 4 + +#endif // LM_GGML_COMMON_DECL_CUDA || LM_GGML_COMMON_DECL_HIP + +#ifdef _MSC_VER +#define LM_GGML_EXTENSION +#else // _MSC_VER +#define LM_GGML_EXTENSION __extension__ +#endif // _MSC_VER + +#define QK4_0 32 +typedef struct { + lm_ggml_half d; // delta + uint8_t qs[QK4_0 / 2]; // nibbles / quants +} block_q4_0; +static_assert(sizeof(block_q4_0) == sizeof(lm_ggml_half) + QK4_0 / 2, "wrong q4_0 block size/padding"); + +#define QK4_1 32 +typedef struct { + LM_GGML_EXTENSION union { + struct { + lm_ggml_half d; // delta + lm_ggml_half m; // min + } LM_GGML_COMMON_AGGR_S; + lm_ggml_half2 dm; + } LM_GGML_COMMON_AGGR_U; + uint8_t qs[QK4_1 / 2]; // nibbles / quants +} block_q4_1; +static_assert(sizeof(block_q4_1) == 2 * sizeof(lm_ggml_half) + QK4_1 / 2, "wrong q4_1 block size/padding"); + +#define QK_MXFP4 32 +typedef struct { + uint8_t e; // E8M0 + uint8_t qs[QK_MXFP4/2]; +} block_mxfp4; +static_assert(sizeof(block_mxfp4) == sizeof(uint8_t) + QK_MXFP4/2, "wrong mxfp4 block size/padding"); + +#define QK5_0 32 +typedef struct { + lm_ggml_half d; // delta + uint8_t qh[4]; // 5-th bit of quants + uint8_t qs[QK5_0 / 2]; // nibbles / quants +} block_q5_0; +static_assert(sizeof(block_q5_0) == sizeof(lm_ggml_half) + sizeof(uint32_t) + QK5_0 / 2, "wrong q5_0 block size/padding"); + +#define QK5_1 32 +typedef struct { + LM_GGML_EXTENSION union { + struct { + lm_ggml_half d; // delta + lm_ggml_half m; // min + } LM_GGML_COMMON_AGGR_S; + lm_ggml_half2 dm; + } LM_GGML_COMMON_AGGR_U; + uint8_t qh[4]; // 5-th bit of quants + uint8_t qs[QK5_1 / 2]; // nibbles / quants +} block_q5_1; +static_assert(sizeof(block_q5_1) == 2 * sizeof(lm_ggml_half) + sizeof(uint32_t) + QK5_1 / 2, "wrong q5_1 block size/padding"); + +#define QK8_0 32 +typedef struct { + lm_ggml_half d; // delta + int8_t qs[QK8_0]; // quants +} block_q8_0; +static_assert(sizeof(block_q8_0) == sizeof(lm_ggml_half) + QK8_0, "wrong q8_0 block size/padding"); + +#define QK8_1 32 +typedef struct { + LM_GGML_EXTENSION union { + struct { + lm_ggml_half d; // delta + lm_ggml_half s; // d * sum(qs[i]) + } LM_GGML_COMMON_AGGR_S; + lm_ggml_half2 ds; + } LM_GGML_COMMON_AGGR_U; + int8_t qs[QK8_1]; // quants +} block_q8_1; +static_assert(sizeof(block_q8_1) == 2*sizeof(lm_ggml_half) + QK8_1, "wrong q8_1 block size/padding"); + +// +// Ternary quantization +// + +// 1.6875 bpw +typedef struct { + uint8_t qs[(QK_K - 4 * QK_K / 64) / 5]; // 5 elements per byte (3^5 = 243 < 256) + uint8_t qh[QK_K/64]; // 4 elements per byte + lm_ggml_half d; +} block_tq1_0; +static_assert(sizeof(block_tq1_0) == sizeof(lm_ggml_half) + QK_K / 64 + (QK_K - 4 * QK_K / 64) / 5, "wrong tq1_0 block size/padding"); + +// 2.0625 bpw +typedef struct { + uint8_t qs[QK_K/4]; // 2 bits per element + lm_ggml_half d; +} block_tq2_0; +static_assert(sizeof(block_tq2_0) == sizeof(lm_ggml_half) + QK_K / 4, "wrong tq2_0 block size/padding"); + +// +// Super-block quantization structures +// + +// 2-bit quantization +// weight is represented as x = a * q + b +// 16 blocks of 16 elements each +// Effectively 2.625 bits per weight +typedef struct { + uint8_t scales[QK_K/16]; // scales and mins, quantized with 4 bits + uint8_t qs[QK_K/4]; // quants + LM_GGML_EXTENSION union { + struct { + lm_ggml_half d; // super-block scale for quantized scales + lm_ggml_half dmin; // super-block scale for quantized mins + } LM_GGML_COMMON_AGGR_S; + lm_ggml_half2 dm; + } LM_GGML_COMMON_AGGR_U; +} block_q2_K; +static_assert(sizeof(block_q2_K) == 2*sizeof(lm_ggml_half) + QK_K/16 + QK_K/4, "wrong q2_K block size/padding"); + +// 3-bit quantization +// weight is represented as x = a * q +// 16 blocks of 16 elements each +// Effectively 3.4375 bits per weight +typedef struct { + uint8_t hmask[QK_K/8]; // quants - high bit + uint8_t qs[QK_K/4]; // quants - low 2 bits + uint8_t scales[12]; // scales, quantized with 6 bits + lm_ggml_half d; // super-block scale +} block_q3_K; +static_assert(sizeof(block_q3_K) == sizeof(lm_ggml_half) + QK_K / 4 + QK_K / 8 + 12, "wrong q3_K block size/padding"); + +// 4-bit quantization +// 8 blocks of 32 elements each +// weight is represented as x = a * q + b +// Effectively 4.5 bits per weight +typedef struct { + LM_GGML_EXTENSION union { + struct { + lm_ggml_half d; // super-block scale for quantized scales + lm_ggml_half dmin; // super-block scale for quantized mins + } LM_GGML_COMMON_AGGR_S; + lm_ggml_half2 dm; + } LM_GGML_COMMON_AGGR_U; + uint8_t scales[K_SCALE_SIZE]; // scales and mins, quantized with 6 bits + uint8_t qs[QK_K/2]; // 4--bit quants +} block_q4_K; +static_assert(sizeof(block_q4_K) == 2*sizeof(lm_ggml_half) + K_SCALE_SIZE + QK_K/2, "wrong q4_K block size/padding"); + +// 5-bit quantization +// 8 blocks of 32 elements each +// weight is represented as x = a * q + b +// Effectively 5.5 bits per weight +typedef struct { + LM_GGML_EXTENSION union { + struct { + lm_ggml_half d; // super-block scale for quantized scales + lm_ggml_half dmin; // super-block scale for quantized mins + } LM_GGML_COMMON_AGGR_S; + lm_ggml_half2 dm; + } LM_GGML_COMMON_AGGR_U; + uint8_t scales[K_SCALE_SIZE]; // scales and mins, quantized with 6 bits + uint8_t qh[QK_K/8]; // quants, high bit + uint8_t qs[QK_K/2]; // quants, low 4 bits +} block_q5_K; +static_assert(sizeof(block_q5_K) == 2*sizeof(lm_ggml_half) + K_SCALE_SIZE + QK_K/2 + QK_K/8, "wrong q5_K block size/padding"); + +// 6-bit quantization +// weight is represented as x = a * q +// 16 blocks of 16 elements each +// Effectively 6.5625 bits per weight +typedef struct { + uint8_t ql[QK_K/2]; // quants, lower 4 bits + uint8_t qh[QK_K/4]; // quants, upper 2 bits + int8_t scales[QK_K/16]; // scales, quantized with 8 bits + lm_ggml_half d; // super-block scale +} block_q6_K; +static_assert(sizeof(block_q6_K) == sizeof(lm_ggml_half) + QK_K / 16 + 3*QK_K/4, "wrong q6_K block size/padding"); + +// This is only used for intermediate quantization and dot products +typedef struct { + float d; // delta + int8_t qs[QK_K]; // quants + int16_t bsums[QK_K/16]; // sum of quants in groups of 16 +} block_q8_K; +static_assert(sizeof(block_q8_K) == sizeof(float) + QK_K + QK_K/16*sizeof(int16_t), "wrong q8_K block size/padding"); + +// (Almost) "true" 2-bit quantization. +// Due to the need to use blocks as per ggml design, it ends up using +// 2.0625 bpw because of the 16-bit scale for each block of 256. +typedef struct { + lm_ggml_half d; + uint16_t qs[QK_K/8]; +} block_iq2_xxs; +static_assert(sizeof(block_iq2_xxs) == sizeof(lm_ggml_half) + QK_K/8*sizeof(uint16_t), "wrong iq2_xxs block size/padding"); + +// 2.3125 bpw quants +typedef struct { + lm_ggml_half d; + uint16_t qs[QK_K/8]; + uint8_t scales[QK_K/32]; +} block_iq2_xs; +static_assert(sizeof(block_iq2_xs) == sizeof(lm_ggml_half) + QK_K/8*sizeof(uint16_t) + QK_K/32, "wrong iq2_xs block size/padding"); + +// 2.5625 bpw quants +typedef struct { + lm_ggml_half d; + uint8_t qs[QK_K/4]; + uint8_t qh[QK_K/32]; + uint8_t scales[QK_K/32]; +} block_iq2_s; +static_assert(sizeof(block_iq2_s) == sizeof(lm_ggml_half) + QK_K/4 + QK_K/16, "wrong iq2_s block size/padding"); + +// (Almost) "true" 3-bit quantization. +// Due to the need to use blocks as per ggml design, it ends up using +// 3.0625 bpw because of the 16-bit scale for each block of 256. +typedef struct { + lm_ggml_half d; + uint8_t qs[3*QK_K/8]; +} block_iq3_xxs; +static_assert(sizeof(block_iq3_xxs) == sizeof(lm_ggml_half) + 3*(QK_K/8), "wrong iq3_xxs block size/padding"); + +// 3.4375 bpw +#define IQ3S_N_SCALE QK_K/64 +typedef struct { + lm_ggml_half d; + uint8_t qs[QK_K/4]; + uint8_t qh[QK_K/32]; + uint8_t signs[QK_K/8]; + uint8_t scales[IQ3S_N_SCALE]; +} block_iq3_s; +static_assert(sizeof(block_iq3_s) == sizeof(lm_ggml_half) + 13*(QK_K/32) + IQ3S_N_SCALE, "wrong iq3_s block size/padding"); + +// 1.5625 bpw +typedef struct { + lm_ggml_half d; + uint8_t qs[QK_K/8]; + uint16_t qh[QK_K/32]; +} block_iq1_s; +static_assert(sizeof(block_iq1_s) == sizeof(lm_ggml_half) + QK_K/8 + QK_K/16, "wrong iq1_s block size/padding"); + +// 1.75 bpw +typedef struct { + uint8_t qs[QK_K/8]; // grid index, low 8 bits + uint8_t qh[QK_K/16]; // grid index, high 3 bits + grid shift bit (for two groups of 8) + uint8_t scales[QK_K/32]; // 3-bit block scales (4-bit if QK_K == 64) +} block_iq1_m; +static_assert(sizeof(block_iq1_m) == QK_K/8 + QK_K/16 + QK_K/32, "wrong iq1_m block size/padding"); + +// Used by IQ1_M quants +typedef union { + lm_ggml_half f16; + uint16_t u16; +} iq1m_scale_t; + +// Non-linear quants +#define QK4_NL 32 +typedef struct { + lm_ggml_half d; + uint8_t qs[QK4_NL/2]; +} block_iq4_nl; +static_assert(sizeof(block_iq4_nl) == sizeof(lm_ggml_half) + QK4_NL/2, "wrong iq4_nl block size/padding"); + +typedef struct { + lm_ggml_half d; + uint16_t scales_h; + uint8_t scales_l[QK_K/64]; + uint8_t qs[QK_K/2]; +} block_iq4_xs; +static_assert(sizeof(block_iq4_xs) == sizeof(lm_ggml_half) + sizeof(uint16_t) + QK_K/64 + QK_K/2, "wrong iq4_xs block size/padding"); + +#endif // LM_GGML_COMMON_DECL +#endif // LM_GGML_COMMON_DECL + +//////////////////////////////////////////////////////////////////////////////// + +#ifndef LM_GGML_COMMON_IMPL + +#if defined(LM_GGML_COMMON_IMPL_C) +#include + +#define LM_GGML_TABLE_BEGIN(type, name, size) static const type name[size] = { +#define LM_GGML_TABLE_END() }; + +#define LM_GGML_COMMON_IMPL +#elif defined(LM_GGML_COMMON_IMPL_CPP) +#include + +#define LM_GGML_TABLE_BEGIN(type, name, size) static const type name[size] = { +#define LM_GGML_TABLE_END() }; + +#define LM_GGML_COMMON_IMPL +#elif defined(LM_GGML_COMMON_IMPL_METAL) +#include + +#define LM_GGML_TABLE_BEGIN(type, name, size) static const constant type name[size] = { +#define LM_GGML_TABLE_END() }; + +#define LM_GGML_COMMON_IMPL +#elif defined(LM_GGML_COMMON_IMPL_CUDA) || defined(LM_GGML_COMMON_IMPL_HIP) || defined(LM_GGML_COMMON_IMPL_MUSA) +#include + +#define LM_GGML_TABLE_BEGIN(type, name, size) static const __device__ type name[size] = { +#define LM_GGML_TABLE_END() }; + +#define LM_GGML_COMMON_IMPL +#elif defined(LM_GGML_COMMON_IMPL_SYCL) + +#include + +#define LM_GGML_TABLE_BEGIN(type, name, size) static const type name[size] = { +#define LM_GGML_TABLE_END() }; + +#define LM_GGML_COMMON_IMPL +#endif + +#if defined(LM_GGML_COMMON_IMPL) + +LM_GGML_TABLE_BEGIN(uint8_t, kmask_iq2xs, 8) + 1, 2, 4, 8, 16, 32, 64, 128 +LM_GGML_TABLE_END() + +LM_GGML_TABLE_BEGIN(uint8_t, ksigns_iq2xs, 128) + 0, 129, 130, 3, 132, 5, 6, 135, 136, 9, 10, 139, 12, 141, 142, 15, + 144, 17, 18, 147, 20, 149, 150, 23, 24, 153, 154, 27, 156, 29, 30, 159, + 160, 33, 34, 163, 36, 165, 166, 39, 40, 169, 170, 43, 172, 45, 46, 175, + 48, 177, 178, 51, 180, 53, 54, 183, 184, 57, 58, 187, 60, 189, 190, 63, + 192, 65, 66, 195, 68, 197, 198, 71, 72, 201, 202, 75, 204, 77, 78, 207, + 80, 209, 210, 83, 212, 85, 86, 215, 216, 89, 90, 219, 92, 221, 222, 95, + 96, 225, 226, 99, 228, 101, 102, 231, 232, 105, 106, 235, 108, 237, 238, 111, + 240, 113, 114, 243, 116, 245, 246, 119, 120, 249, 250, 123, 252, 125, 126, 255, +LM_GGML_TABLE_END() + +LM_GGML_TABLE_BEGIN(uint64_t, ksigns64, 128) + 0x0000000000000000, 0xff000000000000ff, 0xff0000000000ff00, 0x000000000000ffff, + 0xff00000000ff0000, 0x0000000000ff00ff, 0x0000000000ffff00, 0xff00000000ffffff, + 0xff000000ff000000, 0x00000000ff0000ff, 0x00000000ff00ff00, 0xff000000ff00ffff, + 0x00000000ffff0000, 0xff000000ffff00ff, 0xff000000ffffff00, 0x00000000ffffffff, + 0xff0000ff00000000, 0x000000ff000000ff, 0x000000ff0000ff00, 0xff0000ff0000ffff, + 0x000000ff00ff0000, 0xff0000ff00ff00ff, 0xff0000ff00ffff00, 0x000000ff00ffffff, + 0x000000ffff000000, 0xff0000ffff0000ff, 0xff0000ffff00ff00, 0x000000ffff00ffff, + 0xff0000ffffff0000, 0x000000ffffff00ff, 0x000000ffffffff00, 0xff0000ffffffffff, + 0xff00ff0000000000, 0x0000ff00000000ff, 0x0000ff000000ff00, 0xff00ff000000ffff, + 0x0000ff0000ff0000, 0xff00ff0000ff00ff, 0xff00ff0000ffff00, 0x0000ff0000ffffff, + 0x0000ff00ff000000, 0xff00ff00ff0000ff, 0xff00ff00ff00ff00, 0x0000ff00ff00ffff, + 0xff00ff00ffff0000, 0x0000ff00ffff00ff, 0x0000ff00ffffff00, 0xff00ff00ffffffff, + 0x0000ffff00000000, 0xff00ffff000000ff, 0xff00ffff0000ff00, 0x0000ffff0000ffff, + 0xff00ffff00ff0000, 0x0000ffff00ff00ff, 0x0000ffff00ffff00, 0xff00ffff00ffffff, + 0xff00ffffff000000, 0x0000ffffff0000ff, 0x0000ffffff00ff00, 0xff00ffffff00ffff, + 0x0000ffffffff0000, 0xff00ffffffff00ff, 0xff00ffffffffff00, 0x0000ffffffffffff, + 0xffff000000000000, 0x00ff0000000000ff, 0x00ff00000000ff00, 0xffff00000000ffff, + 0x00ff000000ff0000, 0xffff000000ff00ff, 0xffff000000ffff00, 0x00ff000000ffffff, + 0x00ff0000ff000000, 0xffff0000ff0000ff, 0xffff0000ff00ff00, 0x00ff0000ff00ffff, + 0xffff0000ffff0000, 0x00ff0000ffff00ff, 0x00ff0000ffffff00, 0xffff0000ffffffff, + 0x00ff00ff00000000, 0xffff00ff000000ff, 0xffff00ff0000ff00, 0x00ff00ff0000ffff, + 0xffff00ff00ff0000, 0x00ff00ff00ff00ff, 0x00ff00ff00ffff00, 0xffff00ff00ffffff, + 0xffff00ffff000000, 0x00ff00ffff0000ff, 0x00ff00ffff00ff00, 0xffff00ffff00ffff, + 0x00ff00ffffff0000, 0xffff00ffffff00ff, 0xffff00ffffffff00, 0x00ff00ffffffffff, + 0x00ffff0000000000, 0xffffff00000000ff, 0xffffff000000ff00, 0x00ffff000000ffff, + 0xffffff0000ff0000, 0x00ffff0000ff00ff, 0x00ffff0000ffff00, 0xffffff0000ffffff, + 0xffffff00ff000000, 0x00ffff00ff0000ff, 0x00ffff00ff00ff00, 0xffffff00ff00ffff, + 0x00ffff00ffff0000, 0xffffff00ffff00ff, 0xffffff00ffffff00, 0x00ffff00ffffffff, + 0xffffffff00000000, 0x00ffffff000000ff, 0x00ffffff0000ff00, 0xffffffff0000ffff, + 0x00ffffff00ff0000, 0xffffffff00ff00ff, 0xffffffff00ffff00, 0x00ffffff00ffffff, + 0x00ffffffff000000, 0xffffffffff0000ff, 0xffffffffff00ff00, 0x00ffffffff00ffff, + 0xffffffffffff0000, 0x00ffffffffff00ff, 0x00ffffffffffff00, 0xffffffffffffffff, +LM_GGML_TABLE_END() + + +LM_GGML_TABLE_BEGIN(uint64_t, iq2xxs_grid, 256) + 0x0808080808080808, 0x080808080808082b, 0x0808080808081919, 0x0808080808082b08, + 0x0808080808082b2b, 0x0808080808190819, 0x0808080808191908, 0x08080808082b0808, + 0x08080808082b082b, 0x08080808082b2b08, 0x08080808082b2b2b, 0x0808080819080819, + 0x0808080819081908, 0x0808080819190808, 0x0808080819192b08, 0x08080808192b0819, + 0x08080808192b1908, 0x080808082b080808, 0x080808082b08082b, 0x080808082b082b2b, + 0x080808082b2b082b, 0x0808081908080819, 0x0808081908081908, 0x0808081908190808, + 0x0808081908191919, 0x0808081919080808, 0x080808192b081908, 0x080808192b192b08, + 0x0808082b08080808, 0x0808082b0808082b, 0x0808082b082b082b, 0x0808082b2b08082b, + 0x0808190808080819, 0x0808190808081908, 0x0808190808190808, 0x08081908082b0819, + 0x08081908082b1908, 0x0808190819080808, 0x080819081908082b, 0x0808190819082b08, + 0x08081908192b0808, 0x080819082b080819, 0x080819082b081908, 0x080819082b190808, + 0x080819082b2b1908, 0x0808191908080808, 0x080819190808082b, 0x0808191908082b08, + 0x08081919082b0808, 0x080819191908192b, 0x08081919192b2b19, 0x080819192b080808, + 0x080819192b190819, 0x0808192b08082b19, 0x0808192b08190808, 0x0808192b19080808, + 0x0808192b2b081908, 0x0808192b2b2b1908, 0x08082b0808080808, 0x08082b0808081919, + 0x08082b0808082b08, 0x08082b0808191908, 0x08082b08082b2b08, 0x08082b0819080819, + 0x08082b0819081908, 0x08082b0819190808, 0x08082b081919082b, 0x08082b082b082b08, + 0x08082b1908081908, 0x08082b1919080808, 0x08082b2b0808082b, 0x08082b2b08191908, + 0x0819080808080819, 0x0819080808081908, 0x0819080808190808, 0x08190808082b0819, + 0x0819080819080808, 0x08190808192b0808, 0x081908082b081908, 0x081908082b190808, + 0x081908082b191919, 0x0819081908080808, 0x0819081908082b08, 0x08190819082b0808, + 0x0819081919190808, 0x0819081919192b2b, 0x081908192b080808, 0x0819082b082b1908, + 0x0819082b19081919, 0x0819190808080808, 0x0819190808082b08, 0x08191908082b0808, + 0x08191908082b1919, 0x0819190819082b19, 0x081919082b080808, 0x0819191908192b08, + 0x08191919192b082b, 0x0819192b08080808, 0x0819192b0819192b, 0x08192b0808080819, + 0x08192b0808081908, 0x08192b0808190808, 0x08192b0819080808, 0x08192b082b080819, + 0x08192b1908080808, 0x08192b1908081919, 0x08192b192b2b0808, 0x08192b2b19190819, + 0x082b080808080808, 0x082b08080808082b, 0x082b080808082b2b, 0x082b080819081908, + 0x082b0808192b0819, 0x082b08082b080808, 0x082b08082b08082b, 0x082b0819082b2b19, + 0x082b081919082b08, 0x082b082b08080808, 0x082b082b0808082b, 0x082b190808080819, + 0x082b190808081908, 0x082b190808190808, 0x082b190819080808, 0x082b19081919192b, + 0x082b191908080808, 0x082b191919080819, 0x082b1919192b1908, 0x082b192b2b190808, + 0x082b2b0808082b08, 0x082b2b08082b0808, 0x082b2b082b191908, 0x082b2b2b19081908, + 0x1908080808080819, 0x1908080808081908, 0x1908080808190808, 0x1908080808192b08, + 0x19080808082b0819, 0x19080808082b1908, 0x1908080819080808, 0x1908080819082b08, + 0x190808081919192b, 0x19080808192b0808, 0x190808082b080819, 0x190808082b081908, + 0x190808082b190808, 0x1908081908080808, 0x19080819082b0808, 0x19080819192b0819, + 0x190808192b080808, 0x190808192b081919, 0x1908082b08080819, 0x1908082b08190808, + 0x1908082b19082b08, 0x1908082b1919192b, 0x1908082b192b2b08, 0x1908190808080808, + 0x1908190808082b08, 0x19081908082b0808, 0x190819082b080808, 0x190819082b192b19, + 0x190819190819082b, 0x19081919082b1908, 0x1908192b08080808, 0x19082b0808080819, + 0x19082b0808081908, 0x19082b0808190808, 0x19082b0819080808, 0x19082b0819081919, + 0x19082b1908080808, 0x19082b1919192b08, 0x19082b19192b0819, 0x19082b192b08082b, + 0x19082b2b19081919, 0x19082b2b2b190808, 0x1919080808080808, 0x1919080808082b08, + 0x1919080808190819, 0x1919080808192b19, 0x19190808082b0808, 0x191908082b080808, + 0x191908082b082b08, 0x1919081908081908, 0x191908191908082b, 0x191908192b2b1908, + 0x1919082b2b190819, 0x191919082b190808, 0x191919082b19082b, 0x1919191908082b2b, + 0x1919192b08080819, 0x1919192b19191908, 0x19192b0808080808, 0x19192b0808190819, + 0x19192b0808192b19, 0x19192b08192b1908, 0x19192b1919080808, 0x19192b2b08082b08, + 0x192b080808081908, 0x192b080808190808, 0x192b080819080808, 0x192b0808192b2b08, + 0x192b081908080808, 0x192b081919191919, 0x192b082b08192b08, 0x192b082b192b0808, + 0x192b190808080808, 0x192b190808081919, 0x192b191908190808, 0x192b19190819082b, + 0x192b19192b081908, 0x192b2b081908082b, 0x2b08080808080808, 0x2b0808080808082b, + 0x2b08080808082b2b, 0x2b08080819080819, 0x2b0808082b08082b, 0x2b08081908081908, + 0x2b08081908192b08, 0x2b08081919080808, 0x2b08082b08190819, 0x2b08190808080819, + 0x2b08190808081908, 0x2b08190808190808, 0x2b08190808191919, 0x2b08190819080808, + 0x2b081908192b0808, 0x2b08191908080808, 0x2b0819191908192b, 0x2b0819192b191908, + 0x2b08192b08082b19, 0x2b08192b19080808, 0x2b08192b192b0808, 0x2b082b080808082b, + 0x2b082b1908081908, 0x2b082b2b08190819, 0x2b19080808081908, 0x2b19080808190808, + 0x2b190808082b1908, 0x2b19080819080808, 0x2b1908082b2b0819, 0x2b1908190819192b, + 0x2b1908192b080808, 0x2b19082b19081919, 0x2b19190808080808, 0x2b191908082b082b, + 0x2b19190819081908, 0x2b19191919190819, 0x2b192b082b080819, 0x2b192b19082b0808, + 0x2b2b08080808082b, 0x2b2b080819190808, 0x2b2b08082b081919, 0x2b2b081908082b19, + 0x2b2b082b08080808, 0x2b2b190808192b08, 0x2b2b2b0819190808, 0x2b2b2b1908081908, +LM_GGML_TABLE_END() + +LM_GGML_TABLE_BEGIN(uint64_t, iq2xs_grid, 512) + 0x0808080808080808, 0x080808080808082b, 0x0808080808081919, 0x0808080808082b08, + 0x0808080808082b2b, 0x0808080808190819, 0x0808080808191908, 0x080808080819192b, + 0x0808080808192b19, 0x08080808082b0808, 0x08080808082b082b, 0x08080808082b1919, + 0x08080808082b2b08, 0x0808080819080819, 0x0808080819081908, 0x080808081908192b, + 0x0808080819082b19, 0x0808080819190808, 0x080808081919082b, 0x0808080819191919, + 0x0808080819192b08, 0x08080808192b0819, 0x08080808192b1908, 0x080808082b080808, + 0x080808082b08082b, 0x080808082b081919, 0x080808082b082b08, 0x080808082b190819, + 0x080808082b191908, 0x080808082b192b19, 0x080808082b2b0808, 0x0808081908080819, + 0x0808081908081908, 0x080808190808192b, 0x0808081908082b19, 0x0808081908190808, + 0x080808190819082b, 0x0808081908191919, 0x0808081908192b08, 0x0808081908192b2b, + 0x08080819082b0819, 0x08080819082b1908, 0x0808081919080808, 0x080808191908082b, + 0x0808081919081919, 0x0808081919082b08, 0x0808081919190819, 0x0808081919191908, + 0x08080819192b0808, 0x08080819192b2b08, 0x080808192b080819, 0x080808192b081908, + 0x080808192b190808, 0x0808082b08080808, 0x0808082b0808082b, 0x0808082b08081919, + 0x0808082b08082b08, 0x0808082b08190819, 0x0808082b08191908, 0x0808082b082b0808, + 0x0808082b19080819, 0x0808082b19081908, 0x0808082b19190808, 0x0808082b19191919, + 0x0808082b2b080808, 0x0808082b2b082b2b, 0x0808190808080819, 0x0808190808081908, + 0x080819080808192b, 0x0808190808082b19, 0x0808190808190808, 0x080819080819082b, + 0x0808190808191919, 0x0808190808192b08, 0x08081908082b0819, 0x08081908082b1908, + 0x0808190819080808, 0x080819081908082b, 0x0808190819081919, 0x0808190819082b08, + 0x0808190819190819, 0x0808190819191908, 0x080819081919192b, 0x08081908192b0808, + 0x080819082b080819, 0x080819082b081908, 0x080819082b190808, 0x0808191908080808, + 0x080819190808082b, 0x0808191908081919, 0x0808191908082b08, 0x0808191908190819, + 0x0808191908191908, 0x08081919082b0808, 0x0808191919080819, 0x0808191919081908, + 0x0808191919190808, 0x08081919192b0819, 0x080819192b080808, 0x0808192b08080819, + 0x0808192b08081908, 0x0808192b08190808, 0x0808192b082b192b, 0x0808192b19080808, + 0x0808192b1908082b, 0x0808192b2b081908, 0x08082b0808080808, 0x08082b080808082b, + 0x08082b0808081919, 0x08082b0808082b08, 0x08082b0808082b2b, 0x08082b0808190819, + 0x08082b0808191908, 0x08082b08082b0808, 0x08082b08082b1919, 0x08082b0819080819, + 0x08082b0819081908, 0x08082b0819190808, 0x08082b0819192b08, 0x08082b082b080808, + 0x08082b082b2b0808, 0x08082b082b2b2b2b, 0x08082b1908080819, 0x08082b1908081908, + 0x08082b1908190808, 0x08082b1919080808, 0x08082b192b080819, 0x08082b192b082b19, + 0x08082b2b08080808, 0x08082b2b082b0808, 0x08082b2b082b2b08, 0x08082b2b2b19192b, + 0x08082b2b2b2b0808, 0x0819080808080819, 0x0819080808081908, 0x081908080808192b, + 0x0819080808082b19, 0x0819080808190808, 0x081908080819082b, 0x0819080808191919, + 0x0819080808192b08, 0x08190808082b0819, 0x08190808082b1908, 0x0819080819080808, + 0x081908081908082b, 0x0819080819081919, 0x0819080819082b08, 0x0819080819190819, + 0x0819080819191908, 0x08190808192b0808, 0x08190808192b2b2b, 0x081908082b080819, + 0x081908082b081908, 0x081908082b190808, 0x0819081908080808, 0x081908190808082b, + 0x0819081908081919, 0x0819081908082b08, 0x0819081908190819, 0x0819081908191908, + 0x08190819082b0808, 0x0819081919080819, 0x0819081919081908, 0x0819081919190808, + 0x081908192b080808, 0x081908192b191908, 0x081908192b19192b, 0x0819082b08080819, + 0x0819082b08081908, 0x0819082b0808192b, 0x0819082b08190808, 0x0819082b19080808, + 0x0819082b192b0808, 0x0819190808080808, 0x081919080808082b, 0x0819190808081919, + 0x0819190808082b08, 0x0819190808190819, 0x0819190808191908, 0x08191908082b0808, + 0x0819190819080819, 0x0819190819081908, 0x0819190819082b19, 0x0819190819190808, + 0x08191908192b1908, 0x081919082b080808, 0x0819191908080819, 0x0819191908081908, + 0x0819191908190808, 0x0819191919080808, 0x0819192b08080808, 0x0819192b08191908, + 0x0819192b19082b19, 0x08192b0808080819, 0x08192b0808081908, 0x08192b0808190808, + 0x08192b080819082b, 0x08192b0819080808, 0x08192b0819191908, 0x08192b082b08192b, + 0x08192b1908080808, 0x08192b1908081919, 0x08192b19192b192b, 0x08192b2b19190819, + 0x08192b2b2b2b2b19, 0x082b080808080808, 0x082b08080808082b, 0x082b080808081919, + 0x082b080808082b08, 0x082b080808082b2b, 0x082b080808190819, 0x082b080808191908, + 0x082b0808082b0808, 0x082b080819080819, 0x082b080819081908, 0x082b080819190808, + 0x082b08082b080808, 0x082b08082b2b0808, 0x082b081908080819, 0x082b081908081908, + 0x082b081908190808, 0x082b081919080808, 0x082b081919082b08, 0x082b0819192b1919, + 0x082b082b08080808, 0x082b082b082b082b, 0x082b082b2b080808, 0x082b082b2b2b2b08, + 0x082b190808080819, 0x082b190808081908, 0x082b190808190808, 0x082b1908082b2b19, + 0x082b190819080808, 0x082b191908080808, 0x082b191919080819, 0x082b19191919082b, + 0x082b19192b192b19, 0x082b192b08080819, 0x082b192b08192b2b, 0x082b192b2b2b192b, + 0x082b2b0808080808, 0x082b2b0808082b08, 0x082b2b0808082b2b, 0x082b2b08082b0808, + 0x082b2b0819191919, 0x082b2b082b082b08, 0x082b2b082b2b082b, 0x082b2b19192b2b08, + 0x082b2b192b190808, 0x082b2b2b08082b08, 0x082b2b2b082b0808, 0x082b2b2b2b08082b, + 0x082b2b2b2b082b08, 0x082b2b2b2b082b2b, 0x1908080808080819, 0x1908080808081908, + 0x190808080808192b, 0x1908080808082b19, 0x1908080808190808, 0x190808080819082b, + 0x1908080808191919, 0x1908080808192b08, 0x19080808082b0819, 0x19080808082b1908, + 0x1908080819080808, 0x190808081908082b, 0x1908080819081919, 0x1908080819082b08, + 0x1908080819082b2b, 0x1908080819190819, 0x1908080819191908, 0x19080808192b0808, + 0x19080808192b1919, 0x190808082b080819, 0x190808082b081908, 0x190808082b190808, + 0x1908081908080808, 0x190808190808082b, 0x1908081908081919, 0x1908081908082b08, + 0x1908081908190819, 0x1908081908191908, 0x19080819082b0808, 0x1908081919080819, + 0x1908081919081908, 0x1908081919190808, 0x190808192b080808, 0x190808192b081919, + 0x190808192b2b082b, 0x1908082b08080819, 0x1908082b08081908, 0x1908082b08190808, + 0x1908082b0819082b, 0x1908082b082b2b19, 0x1908082b19080808, 0x1908190808080808, + 0x190819080808082b, 0x1908190808081919, 0x1908190808082b08, 0x1908190808190819, + 0x1908190808191908, 0x1908190808192b19, 0x19081908082b0808, 0x1908190819080819, + 0x1908190819081908, 0x1908190819190808, 0x190819082b080808, 0x190819082b191908, + 0x1908191908080819, 0x1908191908081908, 0x1908191908190808, 0x19081919082b1908, + 0x1908191919080808, 0x190819192b192b2b, 0x1908192b08080808, 0x1908192b08082b2b, + 0x1908192b19081908, 0x1908192b19190808, 0x19082b0808080819, 0x19082b0808081908, + 0x19082b0808190808, 0x19082b0819080808, 0x19082b0819081919, 0x19082b0819191908, + 0x19082b08192b082b, 0x19082b1908080808, 0x19082b1908190819, 0x19082b1919081908, + 0x19082b1919190808, 0x19082b19192b2b19, 0x19082b2b08081908, 0x1919080808080808, + 0x191908080808082b, 0x1919080808081919, 0x1919080808082b08, 0x1919080808190819, + 0x1919080808191908, 0x19190808082b0808, 0x19190808082b2b08, 0x1919080819080819, + 0x1919080819081908, 0x1919080819190808, 0x191908082b080808, 0x1919081908080819, + 0x1919081908081908, 0x1919081908190808, 0x1919081908191919, 0x1919081919080808, + 0x191908191908082b, 0x1919082b08080808, 0x1919082b19081908, 0x1919082b2b2b2b2b, + 0x1919190808080819, 0x1919190808081908, 0x1919190808190808, 0x19191908082b0819, + 0x1919190819080808, 0x19191908192b0808, 0x191919082b080819, 0x191919082b2b0819, + 0x1919191908080808, 0x1919191908082b08, 0x191919192b080808, 0x191919192b082b08, + 0x1919192b082b0819, 0x1919192b192b2b08, 0x1919192b2b2b0819, 0x19192b0808080808, + 0x19192b0808191908, 0x19192b0819080819, 0x19192b0819190808, 0x19192b082b192b19, + 0x19192b1908192b2b, 0x19192b1919080808, 0x19192b191908082b, 0x19192b2b2b081919, + 0x192b080808080819, 0x192b080808081908, 0x192b080808190808, 0x192b080819080808, + 0x192b080819191908, 0x192b0808192b082b, 0x192b08082b08192b, 0x192b08082b2b2b19, + 0x192b081908080808, 0x192b082b082b1908, 0x192b082b19082b2b, 0x192b082b2b19082b, + 0x192b190808080808, 0x192b19080819192b, 0x192b191908190808, 0x192b191919080808, + 0x192b191919081919, 0x192b19192b2b1908, 0x192b2b0808080819, 0x192b2b08192b2b2b, + 0x192b2b19082b1919, 0x192b2b2b0808192b, 0x192b2b2b19191908, 0x192b2b2b192b082b, + 0x2b08080808080808, 0x2b0808080808082b, 0x2b08080808081919, 0x2b08080808082b08, + 0x2b08080808190819, 0x2b08080808191908, 0x2b080808082b0808, 0x2b080808082b2b2b, + 0x2b08080819080819, 0x2b08080819081908, 0x2b08080819190808, 0x2b0808082b080808, + 0x2b0808082b08082b, 0x2b0808082b2b2b08, 0x2b0808082b2b2b2b, 0x2b08081908080819, + 0x2b08081908081908, 0x2b0808190808192b, 0x2b08081908190808, 0x2b08081919080808, + 0x2b08081919190819, 0x2b08081919192b19, 0x2b08082b08080808, 0x2b08082b082b0808, + 0x2b08082b2b080808, 0x2b08082b2b08082b, 0x2b08082b2b2b0808, 0x2b08082b2b2b2b08, + 0x2b08190808080819, 0x2b08190808081908, 0x2b08190808190808, 0x2b0819080819082b, + 0x2b08190808191919, 0x2b08190819080808, 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0x2b2b080808082b2b, 0x2b2b0808082b0808, + 0x2b2b0808082b2b2b, 0x2b2b08082b2b0808, 0x2b2b081919190819, 0x2b2b081919192b19, + 0x2b2b08192b2b192b, 0x2b2b082b08080808, 0x2b2b082b0808082b, 0x2b2b082b08082b08, + 0x2b2b082b082b2b2b, 0x2b2b082b2b080808, 0x2b2b082b2b2b0808, 0x2b2b190819080808, + 0x2b2b19082b191919, 0x2b2b192b192b1919, 0x2b2b192b2b192b08, 0x2b2b2b0808082b2b, + 0x2b2b2b08082b0808, 0x2b2b2b08082b082b, 0x2b2b2b08082b2b08, 0x2b2b2b082b2b0808, + 0x2b2b2b082b2b2b08, 0x2b2b2b1908081908, 0x2b2b2b192b081908, 0x2b2b2b192b08192b, + 0x2b2b2b2b082b2b08, 0x2b2b2b2b082b2b2b, 0x2b2b2b2b2b190819, 0x2b2b2b2b2b2b2b2b, +LM_GGML_TABLE_END() + +LM_GGML_TABLE_BEGIN(uint64_t, iq2s_grid, 1024) + 0x0808080808080808, 0x080808080808082b, 0x0808080808081919, 0x0808080808082b08, + 0x0808080808082b2b, 0x0808080808190819, 0x0808080808191908, 0x080808080819192b, + 0x0808080808192b19, 0x08080808082b0808, 0x08080808082b082b, 0x08080808082b1919, + 0x08080808082b2b08, 0x0808080819080819, 0x0808080819081908, 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0x0808082b0808082b, + 0x0808082b08081919, 0x0808082b08082b08, 0x0808082b08190819, 0x0808082b08191908, + 0x0808082b082b0808, 0x0808082b082b2b2b, 0x0808082b19080819, 0x0808082b19081908, + 0x0808082b1908192b, 0x0808082b19082b19, 0x0808082b19190808, 0x0808082b19191919, + 0x0808082b2b080808, 0x0808082b2b081919, 0x0808082b2b082b2b, 0x0808082b2b191908, + 0x0808082b2b2b082b, 0x0808190808080819, 0x0808190808081908, 0x080819080808192b, + 0x0808190808082b19, 0x0808190808190808, 0x080819080819082b, 0x0808190808191919, + 0x0808190808192b08, 0x08081908082b0819, 0x08081908082b1908, 0x08081908082b192b, + 0x08081908082b2b19, 0x0808190819080808, 0x080819081908082b, 0x0808190819081919, + 0x0808190819082b08, 0x0808190819082b2b, 0x0808190819190819, 0x0808190819191908, + 0x080819081919192b, 0x0808190819192b19, 0x08081908192b0808, 0x08081908192b082b, + 0x08081908192b1919, 0x080819082b080819, 0x080819082b081908, 0x080819082b08192b, + 0x080819082b082b19, 0x080819082b190808, 0x080819082b191919, 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0x2b2b2b2b2b2b2b2b, +LM_GGML_TABLE_END() + +LM_GGML_TABLE_BEGIN(uint32_t, iq3xxs_grid, 256) + 0x04040404, 0x04040414, 0x04040424, 0x04040c0c, 0x04040c1c, 0x04040c3e, 0x04041404, 0x04041414, + 0x04041c0c, 0x04042414, 0x04043e1c, 0x04043e2c, 0x040c040c, 0x040c041c, 0x040c0c04, 0x040c0c14, + 0x040c140c, 0x040c142c, 0x040c1c04, 0x040c1c14, 0x040c240c, 0x040c2c24, 0x040c3e04, 0x04140404, + 0x04140414, 0x04140424, 0x04140c0c, 0x04141404, 0x04141414, 0x04141c0c, 0x04141c1c, 0x04141c3e, + 0x04142c0c, 0x04142c3e, 0x04143e2c, 0x041c040c, 0x041c043e, 0x041c0c04, 0x041c0c14, 0x041c142c, + 0x041c3e04, 0x04240c1c, 0x04241c3e, 0x04242424, 0x04242c3e, 0x04243e1c, 0x04243e2c, 0x042c040c, + 0x042c043e, 0x042c1c14, 0x042c2c14, 0x04341c2c, 0x04343424, 0x043e0c04, 0x043e0c24, 0x043e0c34, + 0x043e241c, 0x043e340c, 0x0c04040c, 0x0c04041c, 0x0c040c04, 0x0c040c14, 0x0c04140c, 0x0c04141c, + 0x0c041c04, 0x0c041c14, 0x0c041c24, 0x0c04243e, 0x0c042c04, 0x0c0c0404, 0x0c0c0414, 0x0c0c0c0c, + 0x0c0c1404, 0x0c0c1414, 0x0c14040c, 0x0c14041c, 0x0c140c04, 0x0c140c14, 0x0c14140c, 0x0c141c04, + 0x0c143e14, 0x0c1c0404, 0x0c1c0414, 0x0c1c1404, 0x0c1c1c0c, 0x0c1c2434, 0x0c1c3434, 0x0c24040c, + 0x0c24042c, 0x0c242c04, 0x0c2c1404, 0x0c2c1424, 0x0c2c2434, 0x0c2c3e0c, 0x0c34042c, 0x0c3e1414, + 0x0c3e2404, 0x14040404, 0x14040414, 0x14040c0c, 0x14040c1c, 0x14041404, 0x14041414, 0x14041434, + 0x14041c0c, 0x14042414, 0x140c040c, 0x140c041c, 0x140c042c, 0x140c0c04, 0x140c0c14, 0x140c140c, + 0x140c1c04, 0x140c341c, 0x140c343e, 0x140c3e04, 0x14140404, 0x14140414, 0x14140c0c, 0x14140c3e, + 0x14141404, 0x14141414, 0x14141c3e, 0x14142404, 0x14142c2c, 0x141c040c, 0x141c0c04, 0x141c0c24, + 0x141c3e04, 0x141c3e24, 0x14241c2c, 0x14242c1c, 0x142c041c, 0x142c143e, 0x142c240c, 0x142c3e24, + 0x143e040c, 0x143e041c, 0x143e0c34, 0x143e242c, 0x1c04040c, 0x1c040c04, 0x1c040c14, 0x1c04140c, + 0x1c04141c, 0x1c042c04, 0x1c04342c, 0x1c043e14, 0x1c0c0404, 0x1c0c0414, 0x1c0c1404, 0x1c0c1c0c, + 0x1c0c2424, 0x1c0c2434, 0x1c14040c, 0x1c14041c, 0x1c140c04, 0x1c14142c, 0x1c142c14, 0x1c143e14, + 0x1c1c0c0c, 0x1c1c1c1c, 0x1c241c04, 0x1c24243e, 0x1c243e14, 0x1c2c0404, 0x1c2c0434, 0x1c2c1414, + 0x1c2c2c2c, 0x1c340c24, 0x1c341c34, 0x1c34341c, 0x1c3e1c1c, 0x1c3e3404, 0x24040424, 0x24040c3e, + 0x24041c2c, 0x24041c3e, 0x24042c1c, 0x24042c3e, 0x240c3e24, 0x24141404, 0x24141c3e, 0x24142404, + 0x24143404, 0x24143434, 0x241c043e, 0x241c242c, 0x24240424, 0x24242c0c, 0x24243424, 0x242c142c, + 0x242c241c, 0x242c3e04, 0x243e042c, 0x243e0c04, 0x243e0c14, 0x243e1c04, 0x2c040c14, 0x2c04240c, + 0x2c043e04, 0x2c0c0404, 0x2c0c0434, 0x2c0c1434, 0x2c0c2c2c, 0x2c140c24, 0x2c141c14, 0x2c143e14, + 0x2c1c0414, 0x2c1c2c1c, 0x2c240c04, 0x2c24141c, 0x2c24143e, 0x2c243e14, 0x2c2c0414, 0x2c2c1c0c, + 0x2c342c04, 0x2c3e1424, 0x2c3e2414, 0x34041424, 0x34042424, 0x34042434, 0x34043424, 0x340c140c, + 0x340c340c, 0x34140c3e, 0x34143424, 0x341c1c04, 0x341c1c34, 0x34242424, 0x342c042c, 0x342c2c14, + 0x34341c1c, 0x343e041c, 0x343e140c, 0x3e04041c, 0x3e04042c, 0x3e04043e, 0x3e040c04, 0x3e041c14, + 0x3e042c14, 0x3e0c1434, 0x3e0c2404, 0x3e140c14, 0x3e14242c, 0x3e142c14, 0x3e1c0404, 0x3e1c0c2c, + 0x3e1c1c1c, 0x3e1c3404, 0x3e24140c, 0x3e24240c, 0x3e2c0404, 0x3e2c0414, 0x3e2c1424, 0x3e341c04, +LM_GGML_TABLE_END() + +LM_GGML_TABLE_BEGIN(uint32_t, iq3s_grid, 512) + 0x01010101, 0x01010103, 0x01010105, 0x0101010b, 0x0101010f, 0x01010301, 0x01010303, 0x01010305, + 0x01010309, 0x0101030d, 0x01010501, 0x01010503, 0x0101050b, 0x01010707, 0x01010901, 0x01010905, + 0x0101090b, 0x0101090f, 0x01010b03, 0x01010b07, 0x01010d01, 0x01010d05, 0x01010f03, 0x01010f09, + 0x01010f0f, 0x01030101, 0x01030103, 0x01030105, 0x01030109, 0x01030301, 0x01030303, 0x0103030b, + 0x01030501, 0x01030507, 0x0103050f, 0x01030703, 0x0103070b, 0x01030909, 0x01030d03, 0x01030d0b, + 0x01030f05, 0x01050101, 0x01050103, 0x0105010b, 0x0105010f, 0x01050301, 0x01050307, 0x0105030d, + 0x01050503, 0x0105050b, 0x01050701, 0x01050709, 0x01050905, 0x0105090b, 0x0105090f, 0x01050b03, + 0x01050b07, 0x01050f01, 0x01050f07, 0x01070107, 0x01070303, 0x0107030b, 0x01070501, 0x01070505, + 0x01070703, 0x01070707, 0x0107070d, 0x01070909, 0x01070b01, 0x01070b05, 0x01070d0f, 0x01070f03, + 0x01070f0b, 0x01090101, 0x01090307, 0x0109030f, 0x01090503, 0x01090509, 0x01090705, 0x01090901, + 0x01090907, 0x01090b03, 0x01090f01, 0x010b0105, 0x010b0109, 0x010b0501, 0x010b0505, 0x010b050d, + 0x010b0707, 0x010b0903, 0x010b090b, 0x010b090f, 0x010b0d0d, 0x010b0f07, 0x010d010d, 0x010d0303, + 0x010d0307, 0x010d0703, 0x010d0b05, 0x010d0f03, 0x010f0101, 0x010f0105, 0x010f0109, 0x010f0501, + 0x010f0505, 0x010f050d, 0x010f0707, 0x010f0b01, 0x010f0b09, 0x03010101, 0x03010103, 0x03010105, + 0x03010109, 0x03010301, 0x03010303, 0x03010307, 0x0301030b, 0x0301030f, 0x03010501, 0x03010505, + 0x03010703, 0x03010709, 0x0301070d, 0x03010b09, 0x03010b0d, 0x03010d03, 0x03010f05, 0x03030101, + 0x03030103, 0x03030107, 0x0303010d, 0x03030301, 0x03030309, 0x03030503, 0x03030701, 0x03030707, + 0x03030903, 0x03030b01, 0x03030b05, 0x03030f01, 0x03030f0d, 0x03050101, 0x03050305, 0x0305030b, + 0x0305030f, 0x03050501, 0x03050509, 0x03050705, 0x03050901, 0x03050907, 0x03050b0b, 0x03050d01, + 0x03050f05, 0x03070103, 0x03070109, 0x0307010f, 0x03070301, 0x03070307, 0x03070503, 0x0307050f, + 0x03070701, 0x03070709, 0x03070903, 0x03070d05, 0x03070f01, 0x03090107, 0x0309010b, 0x03090305, + 0x03090309, 0x03090703, 0x03090707, 0x03090905, 0x0309090d, 0x03090b01, 0x03090b09, 0x030b0103, + 0x030b0301, 0x030b0307, 0x030b0503, 0x030b0701, 0x030b0705, 0x030b0b03, 0x030d0501, 0x030d0509, + 0x030d050f, 0x030d0909, 0x030d090d, 0x030f0103, 0x030f0107, 0x030f0301, 0x030f0305, 0x030f0503, + 0x030f070b, 0x030f0903, 0x030f0d05, 0x030f0f01, 0x05010101, 0x05010103, 0x05010107, 0x0501010b, + 0x0501010f, 0x05010301, 0x05010305, 0x05010309, 0x0501030d, 0x05010503, 0x05010507, 0x0501050f, + 0x05010701, 0x05010705, 0x05010903, 0x05010907, 0x0501090b, 0x05010b01, 0x05010b05, 0x05010d0f, + 0x05010f01, 0x05010f07, 0x05010f0b, 0x05030101, 0x05030105, 0x05030301, 0x05030307, 0x0503030f, + 0x05030505, 0x0503050b, 0x05030703, 0x05030709, 0x05030905, 0x05030b03, 0x05050103, 0x05050109, + 0x0505010f, 0x05050503, 0x05050507, 0x05050701, 0x0505070f, 0x05050903, 0x05050b07, 0x05050b0f, + 0x05050f03, 0x05050f09, 0x05070101, 0x05070105, 0x0507010b, 0x05070303, 0x05070505, 0x05070509, + 0x05070703, 0x05070707, 0x05070905, 0x05070b01, 0x05070d0d, 0x05090103, 0x0509010f, 0x05090501, + 0x05090507, 0x05090705, 0x0509070b, 0x05090903, 0x05090f05, 0x05090f0b, 0x050b0109, 0x050b0303, + 0x050b0505, 0x050b070f, 0x050b0901, 0x050b0b07, 0x050b0f01, 0x050d0101, 0x050d0105, 0x050d010f, + 0x050d0503, 0x050d0b0b, 0x050d0d03, 0x050f010b, 0x050f0303, 0x050f050d, 0x050f0701, 0x050f0907, + 0x050f0b01, 0x07010105, 0x07010303, 0x07010307, 0x0701030b, 0x0701030f, 0x07010505, 0x07010703, + 0x07010707, 0x0701070b, 0x07010905, 0x07010909, 0x0701090f, 0x07010b03, 0x07010d07, 0x07010f03, + 0x07030103, 0x07030107, 0x0703010b, 0x07030309, 0x07030503, 0x07030507, 0x07030901, 0x07030d01, + 0x07030f05, 0x07030f0d, 0x07050101, 0x07050305, 0x07050501, 0x07050705, 0x07050709, 0x07050b01, + 0x07070103, 0x07070301, 0x07070309, 0x07070503, 0x07070507, 0x0707050f, 0x07070701, 0x07070903, + 0x07070907, 0x0707090f, 0x07070b0b, 0x07070f07, 0x07090107, 0x07090303, 0x0709030d, 0x07090505, + 0x07090703, 0x07090b05, 0x07090d01, 0x07090d09, 0x070b0103, 0x070b0301, 0x070b0305, 0x070b050b, + 0x070b0705, 0x070b0909, 0x070b0b0d, 0x070b0f07, 0x070d030d, 0x070d0903, 0x070f0103, 0x070f0107, + 0x070f0501, 0x070f0505, 0x070f070b, 0x09010101, 0x09010109, 0x09010305, 0x09010501, 0x09010509, + 0x0901050f, 0x09010705, 0x09010903, 0x09010b01, 0x09010f01, 0x09030105, 0x0903010f, 0x09030303, + 0x09030307, 0x09030505, 0x09030701, 0x0903070b, 0x09030907, 0x09030b03, 0x09030b0b, 0x09050103, + 0x09050107, 0x09050301, 0x0905030b, 0x09050503, 0x09050707, 0x09050901, 0x09050b0f, 0x09050d05, + 0x09050f01, 0x09070109, 0x09070303, 0x09070307, 0x09070501, 0x09070505, 0x09070703, 0x0907070b, + 0x09090101, 0x09090105, 0x09090509, 0x0909070f, 0x09090901, 0x09090f03, 0x090b010b, 0x090b010f, + 0x090b0503, 0x090b0d05, 0x090d0307, 0x090d0709, 0x090d0d01, 0x090f0301, 0x090f030b, 0x090f0701, + 0x090f0907, 0x090f0b03, 0x0b010105, 0x0b010301, 0x0b010309, 0x0b010505, 0x0b010901, 0x0b010909, + 0x0b01090f, 0x0b010b05, 0x0b010d0d, 0x0b010f09, 0x0b030103, 0x0b030107, 0x0b03010b, 0x0b030305, + 0x0b030503, 0x0b030705, 0x0b030f05, 0x0b050101, 0x0b050303, 0x0b050507, 0x0b050701, 0x0b05070d, + 0x0b050b07, 0x0b070105, 0x0b07010f, 0x0b070301, 0x0b07050f, 0x0b070909, 0x0b070b03, 0x0b070d0b, + 0x0b070f07, 0x0b090103, 0x0b090109, 0x0b090501, 0x0b090705, 0x0b09090d, 0x0b0b0305, 0x0b0b050d, + 0x0b0b0b03, 0x0b0b0b07, 0x0b0d0905, 0x0b0f0105, 0x0b0f0109, 0x0b0f0505, 0x0d010303, 0x0d010307, + 0x0d01030b, 0x0d010703, 0x0d010707, 0x0d010d01, 0x0d030101, 0x0d030501, 0x0d03050f, 0x0d030d09, + 0x0d050305, 0x0d050709, 0x0d050905, 0x0d050b0b, 0x0d050d05, 0x0d050f01, 0x0d070101, 0x0d070309, + 0x0d070503, 0x0d070901, 0x0d09050b, 0x0d090907, 0x0d090d05, 0x0d0b0101, 0x0d0b0107, 0x0d0b0709, + 0x0d0b0d01, 0x0d0d010b, 0x0d0d0901, 0x0d0f0303, 0x0d0f0307, 0x0f010101, 0x0f010109, 0x0f01010f, + 0x0f010501, 0x0f010505, 0x0f01070d, 0x0f010901, 0x0f010b09, 0x0f010d05, 0x0f030105, 0x0f030303, + 0x0f030509, 0x0f030907, 0x0f03090b, 0x0f050103, 0x0f050109, 0x0f050301, 0x0f05030d, 0x0f050503, + 0x0f050701, 0x0f050b03, 0x0f070105, 0x0f070705, 0x0f07070b, 0x0f070b07, 0x0f090103, 0x0f09010b, + 0x0f090307, 0x0f090501, 0x0f090b01, 0x0f0b0505, 0x0f0b0905, 0x0f0d0105, 0x0f0d0703, 0x0f0f0101, +LM_GGML_TABLE_END() + +// TODO: fix name to kvalues_iq4_nl +LM_GGML_TABLE_BEGIN(int8_t, kvalues_iq4nl, 16) + -127, -104, -83, -65, -49, -35, -22, -10, 1, 13, 25, 38, 53, 69, 89, 113, +LM_GGML_TABLE_END() + +// e2m1 values (doubled) +// ref: https://www.opencompute.org/documents/ocp-microscaling-formats-mx-v1-0-spec-final-pdf +LM_GGML_TABLE_BEGIN(int8_t, kvalues_mxfp4, 16) + 0, 1, 2, 3, 4, 6, 8, 12, 0, -1, -2, -3, -4, -6, -8, -12, +LM_GGML_TABLE_END() + +#define NGRID_IQ1S 2048 +#define IQ1S_DELTA 0.125f +#define IQ1M_DELTA 0.125f +#if defined(LM_GGML_COMMON_IMPL_C) +LM_GGML_TABLE_BEGIN(uint64_t, iq1s_grid, NGRID_IQ1S) + 0xffffffffffffffff, 0xffffffffffffff01, 0xffffffffffff0000, 0xffffffffffff01ff, + 0xffffffffffff0101, 0xffffffffff00ff00, 0xffffffffff000000, 0xffffffffff01ffff, + 0xffffffffff01ff01, 0xffffffffff0101ff, 0xffffffffff010101, 0xffffffff00ff0000, + 0xffffffff0000ff00, 0xffffffff000000ff, 0xffffffff00000001, 0xffffffff00010000, + 0xffffffff01ffffff, 0xffffffff01ffff01, 0xffffffff01ff01ff, 0xffffffff01ff0101, + 0xffffffff01000000, 0xffffffff0101ffff, 0xffffffff0101ff01, 0xffffffff010101ff, + 0xffffffff01010101, 0xffffff00ffff00ff, 0xffffff00ffff0000, 0xffffff00ff00ff00, + 0xffffff00ff0000ff, 0xffffff00ff000001, 0xffffff00ff000100, 0xffffff00ff000101, + 0xffffff00ff010000, 0xffffff0000ffff00, 0xffffff0000ff0001, 0xffffff0000ff0100, + 0xffffff000000ff01, 0xffffff0000000000, 0xffffff0000000101, 0xffffff000001ff00, + 0xffffff00000100ff, 0xffffff0000010001, 0xffffff00000101ff, 0xffffff0001ff0000, + 0xffffff000100ff00, 0xffffff00010000ff, 0xffffff0001000001, 0xffffff0001010000, + 0xffffff01ffffffff, 0xffffff01ffffff01, 0xffffff01ffff01ff, 0xffffff01ffff0101, + 0xffffff01ff000000, 0xffffff01ff01ffff, 0xffffff01ff01ff01, 0xffffff01ff0101ff, + 0xffffff01ff010101, 0xffffff0100ff0000, 0xffffff010000ff00, 0xffffff0100000100, + 0xffffff01000100ff, 0xffffff0100010100, 0xffffff0101ffffff, 0xffffff0101ffff01, + 0xffffff0101ff01ff, 0xffffff0101ff0101, 0xffffff010100ff00, 0xffffff0101000000, + 0xffffff0101000100, 0xffffff010101ffff, 0xffffff010101ff01, 0xffffff01010101ff, + 0xffffff0101010101, 0xffff00ffff00ff00, 0xffff00ffff0000ff, 0xffff00ffff000001, + 0xffff00ffff010000, 0xffff00ff00ffff00, 0xffff00ff00ff0100, 0xffff00ff00000000, + 0xffff00ff00000101, 0xffff00ff000100ff, 0xffff00ff00010000, 0xffff00ff0100ff00, + 0xffff00ff01000100, 0xffff00ff01010000, 0xffff0000ffffff00, 0xffff0000ffff00ff, + 0xffff0000ffff0000, 0xffff0000ffff0001, 0xffff0000ff000000, 0xffff0000ff0001ff, + 0xffff0000ff000101, 0xffff0000ff010100, 0xffff000000ffffff, 0xffff000000ff0000, + 0xffff000000ff0101, 0xffff00000000ffff, 0xffff00000000ff00, 0xffff0000000000ff, + 0xffff000000000000, 0xffff000000000001, 0xffff000000000100, 0xffff00000001ffff, + 0xffff00000001ff01, 0xffff000000010000, 0xffff0000000101ff, 0xffff000000010101, + 0xffff000001ffff00, 0xffff00000100ff00, 0xffff000001000000, 0xffff0000010001ff, + 0xffff000001000101, 0xffff00000101ff00, 0xffff0000010100ff, 0xffff000001010000, + 0xffff000001010001, 0xffff000001010100, 0xffff0001ff0000ff, 0xffff0001ff000100, + 0xffff000100ffff00, 0xffff000100ff00ff, 0xffff00010000ffff, 0xffff00010000ff01, + 0xffff000100000000, 0xffff0001000001ff, 0xffff00010001ffff, 0xffff00010001ff00, + 0xffff000100010001, 0xffff000100010100, 0xffff000101ff0000, 0xffff00010100ff00, + 0xffff0001010000ff, 0xffff000101000100, 0xffff01ffffffffff, 0xffff01ffffffff01, + 0xffff01ffffff01ff, 0xffff01ffffff0101, 0xffff01ffff000000, 0xffff01ffff01ffff, + 0xffff01ffff01ff01, 0xffff01ffff0101ff, 0xffff01ffff010101, 0xffff01ff00ff0000, + 0xffff01ff0000ff00, 0xffff01ff00000001, 0xffff01ff00010000, 0xffff01ff01ffffff, + 0xffff01ff01ffff01, 0xffff01ff01ff01ff, 0xffff01ff01ff0101, 0xffff01ff01000000, + 0xffff01ff0101ffff, 0xffff01ff0101ff01, 0xffff01ff010101ff, 0xffff01ff01010101, + 0xffff0100ffff0000, 0xffff0100ff00ff00, 0xffff0100ff0000ff, 0xffff0100ff000100, + 0xffff0100ff0100ff, 0xffff0100ff010000, 0xffff010000ffff00, 0xffff01000000ffff, + 0xffff01000000ff00, 0xffff010000000000, 0xffff01000001ff00, 0xffff0100000100ff, + 0xffff010000010100, 0xffff01000100ff00, 0xffff0100010000ff, 0xffff010001000001, + 0xffff010001000100, 0xffff010001010000, 0xffff0101ffffffff, 0xffff0101ffffff01, + 0xffff0101ffff01ff, 0xffff0101ffff0101, 0xffff0101ff000000, 0xffff0101ff01ffff, + 0xffff0101ff01ff01, 0xffff0101ff0101ff, 0xffff0101ff010101, 0xffff010100ff0000, + 0xffff01010000ff00, 0xffff010100000100, 0xffff01010001ff00, 0xffff010100010000, + 0xffff010101ffffff, 0xffff010101ffff01, 0xffff010101ff0000, 0xffff010101ff01ff, + 0xffff010101ff0101, 0xffff010101000000, 0xffff01010101ffff, 0xffff01010101ff01, + 0xffff0101010101ff, 0xffff010101010101, 0xff00ffffff00ffff, 0xff00ffffff00ff00, + 0xff00ffffff0000ff, 0xff00ffffff000100, 0xff00ffffff0100ff, 0xff00ffffff010000, + 0xff00ffff00ffff00, 0xff00ffff00ff00ff, 0xff00ffff0000ffff, 0xff00ffff00000000, + 0xff00ffff000001ff, 0xff00ffff0001ff00, 0xff00ffff000100ff, 0xff00ffff00010000, + 0xff00ffff00010100, 0xff00ffff0100ff00, 0xff00ffff010000ff, 0xff00ffff01000001, + 0xff00ffff0101ff00, 0xff00ffff01010000, 0xff00ff00ffffff00, 0xff00ff00ffff00ff, + 0xff00ff00ffff0001, 0xff00ff00ffff0100, 0xff00ff00ff00ffff, 0xff00ff00ff00ff01, + 0xff00ff00ff000000, 0xff00ff00ff0001ff, 0xff00ff00ff01ff00, 0xff00ff00ff0100ff, + 0xff00ff00ff010100, 0xff00ff0000ff0000, 0xff00ff0000ff0101, 0xff00ff000000ffff, + 0xff00ff000000ff00, 0xff00ff000000ff01, 0xff00ff00000000ff, 0xff00ff0000000000, + 0xff00ff0000000001, 0xff00ff0000000100, 0xff00ff000001ffff, 0xff00ff0000010000, + 0xff00ff0001ff00ff, 0xff00ff000100ff01, 0xff00ff0001000000, 0xff00ff000101ff00, + 0xff00ff00010100ff, 0xff00ff01ff00ff00, 0xff00ff01ff0000ff, 0xff00ff01ff000001, + 0xff00ff01ff010000, 0xff00ff0100ffffff, 0xff00ff0100ff0001, 0xff00ff0100ff0100, + 0xff00ff010000ff01, 0xff00ff0100000000, 0xff00ff01000001ff, 0xff00ff0100000101, + 0xff00ff01000100ff, 0xff00ff0100010001, 0xff00ff0101ff0000, 0xff00ff010100ff00, + 0xff00ff01010000ff, 0xff00ff0101000001, 0xff00ff0101010000, 0xff0000ffffffff00, + 0xff0000ffffff0001, 0xff0000ffffff0100, 0xff0000ffff0000ff, 0xff0000ffff000000, + 0xff0000ffff0001ff, 0xff0000ffff000100, 0xff0000ffff01ff00, 0xff0000ffff010001, + 0xff0000ff00ffff00, 0xff0000ff00ff0000, 0xff0000ff00ff0001, 0xff0000ff00ff01ff, + 0xff0000ff00ff0101, 0xff0000ff0000ff00, 0xff0000ff000000ff, 0xff0000ff00000000, + 0xff0000ff00000001, 0xff0000ff00000100, 0xff0000ff0001ff01, 0xff0000ff00010000, + 0xff0000ff000101ff, 0xff0000ff01ff00ff, 0xff0000ff01ff0100, 0xff0000ff0100ffff, + 0xff0000ff010000ff, 0xff0000ff01000000, 0xff0000ff010001ff, 0xff0000ff01000100, + 0xff0000ff01000101, 0xff0000ff0101ff00, 0xff0000ff010100ff, 0xff0000ff01010000, + 0xff0000ff01010100, 0xff000000ffffff01, 0xff000000ffff0000, 0xff000000ffff0101, + 0xff000000ff00ff00, 0xff000000ff0000ff, 0xff000000ff000000, 0xff000000ff000001, + 0xff000000ff000100, 0xff000000ff01ffff, 0xff000000ff01ff01, 0xff000000ff010000, + 0xff000000ff0101ff, 0xff000000ff010101, 0xff00000000ffff00, 0xff00000000ff00ff, + 0xff00000000ff0000, 0xff00000000ff0001, 0xff0000000000ff00, 0xff0000000000ff01, + 0xff000000000000ff, 0xff00000000000000, 0xff00000000000001, 0xff00000000000100, + 0xff00000000000101, 0xff0000000001ff00, 0xff000000000100ff, 0xff00000000010000, + 0xff00000000010001, 0xff00000000010100, 0xff00000001ffffff, 0xff00000001ffff01, + 0xff00000001ff00ff, 0xff00000001ff0000, 0xff00000001ff01ff, 0xff00000001ff0101, + 0xff0000000100ffff, 0xff0000000100ff00, 0xff000000010000ff, 0xff00000001000000, + 0xff00000001000001, 0xff00000001000100, 0xff00000001000101, 0xff0000000101ffff, + 0xff0000000101ff01, 0xff00000001010000, 0xff000001ffffff00, 0xff000001ffff00ff, + 0xff000001ffff0000, 0xff000001ffff0001, 0xff000001ff000000, 0xff000001ff000001, + 0xff000001ff0001ff, 0xff000001ff000101, 0xff000001ff01ff00, 0xff000001ff010001, + 0xff00000100ffffff, 0xff00000100ffff01, 0xff00000100ff00ff, 0xff00000100ff0000, + 0xff00000100ff01ff, 0xff00000100ff0101, 0xff0000010000ff00, 0xff00000100000000, + 0xff00000100000001, 0xff000001000001ff, 0xff00000100000100, 0xff0000010001ff00, + 0xff000001000100ff, 0xff00000100010000, 0xff000001000101ff, 0xff00000100010100, + 0xff00000100010101, 0xff00000101ff0001, 0xff00000101ff0101, 0xff0000010100ff01, + 0xff00000101000000, 0xff000001010100ff, 0xff00000101010100, 0xff0001ffff00ff00, + 0xff0001ffff000001, 0xff0001ffff010000, 0xff0001ff00ffff00, 0xff0001ff00ff00ff, + 0xff0001ff00ff0001, 0xff0001ff00ff0100, 0xff0001ff0000ffff, 0xff0001ff00000000, + 0xff0001ff000001ff, 0xff0001ff00000101, 0xff0001ff0001ffff, 0xff0001ff0001ff00, + 0xff0001ff000100ff, 0xff0001ff00010001, 0xff0001ff00010100, 0xff0001ff01ff0000, + 0xff0001ff0100ff00, 0xff0001ff010000ff, 0xff0001ff01010000, 0xff000100ff00ffff, + 0xff000100ff00ff01, 0xff000100ff000000, 0xff000100ff000101, 0xff000100ff01ff00, + 0xff000100ff010000, 0xff00010000ffff01, 0xff00010000ff00ff, 0xff00010000ff0000, + 0xff00010000ff01ff, 0xff0001000000ff00, 0xff000100000000ff, 0xff00010000000000, + 0xff00010000000001, 0xff00010000000100, 0xff00010000000101, 0xff0001000001ffff, + 0xff00010000010000, 0xff00010000010101, 0xff00010001ff0100, 0xff0001000100ff00, + 0xff0001000100ff01, 0xff00010001000000, 0xff000100010001ff, 0xff0001000101ff00, + 0xff00010001010001, 0xff00010001010100, 0xff000101ffff0100, 0xff000101ff000001, + 0xff000101ff0100ff, 0xff000101ff010001, 0xff00010100ff00ff, 0xff00010100ff0001, + 0xff00010100ff0100, 0xff0001010000ffff, 0xff0001010000ff01, 0xff00010100000000, + 0xff000101000001ff, 0xff0001010001ff00, 0xff00010100010001, 0xff00010100010100, + 0xff00010101ff0000, 0xff0001010100ff00, 0xff00010101000001, 0xff00010101000101, + 0xff01ffffffffffff, 0xff01ffffffffff01, 0xff01ffffffff01ff, 0xff01ffffffff0101, + 0xff01ffffff000000, 0xff01ffffff01ffff, 0xff01ffffff01ff01, 0xff01ffffff010000, + 0xff01ffffff0101ff, 0xff01ffffff010101, 0xff01ffff00ff0000, 0xff01ffff0000ff00, + 0xff01ffff00000100, 0xff01ffff0001ff00, 0xff01ffff00010000, 0xff01ffff01ffffff, + 0xff01ffff01ffff01, 0xff01ffff01ff01ff, 0xff01ffff01ff0101, 0xff01ffff01000000, + 0xff01ffff0101ffff, 0xff01ffff0101ff01, 0xff01ffff01010000, 0xff01ffff010101ff, + 0xff01ffff01010101, 0xff01ff00ffff0000, 0xff01ff00ff00ff00, 0xff01ff00ff0000ff, + 0xff01ff00ff000100, 0xff01ff00ff010000, 0xff01ff0000ffff01, 0xff01ff0000ff00ff, + 0xff01ff0000ff0100, 0xff01ff0000000000, 0xff01ff00000001ff, 0xff01ff0000000101, + 0xff01ff000001ff00, 0xff01ff00000100ff, 0xff01ff0000010000, 0xff01ff0000010001, + 0xff01ff0001ff0000, 0xff01ff000100ffff, 0xff01ff0001000001, 0xff01ff0001000100, + 0xff01ff0001010000, 0xff01ff01ffffff00, 0xff01ff01ffff01ff, 0xff01ff01ffff0101, + 0xff01ff01ff00ff00, 0xff01ff01ff000000, 0xff01ff01ff01ffff, 0xff01ff01ff01ff01, + 0xff01ff01ff0101ff, 0xff01ff01ff010101, 0xff01ff0100ff0000, 0xff01ff010000ff00, + 0xff01ff0100000001, 0xff01ff0100000100, 0xff01ff0100010000, 0xff01ff0101ffff00, + 0xff01ff0101ff01ff, 0xff01ff0101ff0101, 0xff01ff010100ff00, 0xff01ff0101000000, + 0xff01ff010101ffff, 0xff01ff010101ff01, 0xff01ff01010101ff, 0xff01ff0101010101, + 0xff0100ffffff0000, 0xff0100ffff0000ff, 0xff0100ffff000001, 0xff0100ffff000100, + 0xff0100ffff010000, 0xff0100ff00ff00ff, 0xff0100ff00ff0000, 0xff0100ff00ff0001, + 0xff0100ff00ff0100, 0xff0100ff0000ff01, 0xff0100ff00000000, 0xff0100ff000001ff, + 0xff0100ff00000101, 0xff0100ff00010001, 0xff0100ff01ff0000, 0xff0100ff0100ff00, + 0xff0100ff010000ff, 0xff0100ff01000100, 0xff0100ff0101ff00, 0xff0100ff01010000, + 0xff010000ffff0100, 0xff010000ff000000, 0xff010000ff01ff00, 0xff010000ff010100, + 0xff01000000ffffff, 0xff01000000ff0000, 0xff01000000ff01ff, 0xff0100000000ff00, + 0xff010000000000ff, 0xff01000000000000, 0xff01000000000100, 0xff0100000001ff01, + 0xff01000000010000, 0xff010000000101ff, 0xff01000001ff0100, 0xff0100000100ffff, + 0xff010000010000ff, 0xff01000001000000, 0xff010000010001ff, 0xff01000001000101, + 0xff0100000101ff00, 0xff010000010100ff, 0xff01000001010001, 0xff01000001010100, + 0xff010001ffff0000, 0xff010001ff00ffff, 0xff010001ff00ff01, 0xff010001ff000100, + 0xff010001ff010000, 0xff01000100ffff00, 0xff01000100ff0100, 0xff01000100000000, + 0xff0100010001ffff, 0xff0100010001ff00, 0xff01000100010100, 0xff01000101ff00ff, + 0xff01000101ff0001, 0xff0100010100ffff, 0xff01000101000101, 0xff0101ffffffffff, + 0xff0101ffffffff01, 0xff0101ffffff01ff, 0xff0101ffffff0101, 0xff0101ffff000000, + 0xff0101ffff01ffff, 0xff0101ffff01ff01, 0xff0101ffff0101ff, 0xff0101ffff010101, + 0xff0101ff00ff0000, 0xff0101ff0000ff00, 0xff0101ff000000ff, 0xff0101ff00010000, + 0xff0101ff01ffffff, 0xff0101ff01ffff01, 0xff0101ff01ff01ff, 0xff0101ff01ff0101, + 0xff0101ff0101ffff, 0xff0101ff0101ff01, 0xff0101ff010101ff, 0xff0101ff01010101, + 0xff010100ffff0100, 0xff010100ff00ff00, 0xff010100ff0000ff, 0xff010100ff000100, + 0xff010100ff010000, 0xff01010000ff0001, 0xff01010000ff0100, 0xff0101000000ff01, + 0xff01010000000000, 0xff0101000001ff00, 0xff010100000100ff, 0xff01010000010001, + 0xff01010000010100, 0xff01010001ff0000, 0xff0101000100ffff, 0xff01010001000001, + 0xff01010001000100, 0xff010100010100ff, 0xff01010001010000, 0xff010101ffffffff, + 0xff010101ffffff01, 0xff010101ffff01ff, 0xff010101ffff0101, 0xff010101ff01ffff, + 0xff010101ff01ff01, 0xff010101ff0101ff, 0xff010101ff010101, 0xff01010100ff0000, + 0xff0101010000ff00, 0xff01010100000001, 0xff01010100000100, 0xff01010100010000, + 0xff01010101ffffff, 0xff01010101ffff01, 0xff01010101ff01ff, 0xff01010101ff0101, + 0xff01010101000000, 0xff0101010101ffff, 0xff0101010101ff01, 0xff010101010101ff, + 0xff01010101010101, 0x00ffffffffff0000, 0x00ffffffff00ff00, 0x00ffffffff000001, + 0x00ffffffff010000, 0x00ffffff00ff0100, 0x00ffffff0000ff01, 0x00ffffff00000000, + 0x00ffffff000001ff, 0x00ffffff00000101, 0x00ffffff0001ff00, 0x00ffffff000100ff, + 0x00ffffff00010001, 0x00ffffff010000ff, 0x00ffffff01000100, 0x00ffffff0101ff00, + 0x00ffffff01010001, 0x00ffff00ffffffff, 0x00ffff00ffffff00, 0x00ffff00ffff00ff, + 0x00ffff00ffff0001, 0x00ffff00ffff0100, 0x00ffff00ff00ff01, 0x00ffff00ff000000, + 0x00ffff00ff000001, 0x00ffff00ff0001ff, 0x00ffff00ff000101, 0x00ffff00ff01ff00, + 0x00ffff00ff010001, 0x00ffff00ff010100, 0x00ffff0000ff0000, 0x00ffff0000ff01ff, + 0x00ffff0000ff0101, 0x00ffff000000ff00, 0x00ffff00000000ff, 0x00ffff0000000000, + 0x00ffff0000000001, 0x00ffff0000000100, 0x00ffff0000000101, 0x00ffff0000010000, + 0x00ffff00000101ff, 0x00ffff0000010101, 0x00ffff0001ffff00, 0x00ffff0001ff00ff, + 0x00ffff0001ff0001, 0x00ffff000100ffff, 0x00ffff000100ff01, 0x00ffff0001000000, + 0x00ffff000101ffff, 0x00ffff000101ff00, 0x00ffff000101ff01, 0x00ffff01ffff0000, + 0x00ffff01ff00ff00, 0x00ffff01ff0000ff, 0x00ffff01ff000001, 0x00ffff01ff010000, + 0x00ffff0100ffff00, 0x00ffff010000ff01, 0x00ffff0100000000, 0x00ffff0100000101, + 0x00ffff01000100ff, 0x00ffff0100010100, 0x00ffff0101ff0100, 0x00ffff01010000ff, + 0x00ffff0101010000, 0x00ff00ffffffff00, 0x00ff00ffff000000, 0x00ff00ffff000100, + 0x00ff00ffff010100, 0x00ff00ff00ff0000, 0x00ff00ff00ff01ff, 0x00ff00ff00ff0101, + 0x00ff00ff0000ff00, 0x00ff00ff000000ff, 0x00ff00ff00000000, 0x00ff00ff00000001, + 0x00ff00ff0001ff00, 0x00ff00ff0001ff01, 0x00ff00ff00010000, 0x00ff00ff000101ff, + 0x00ff00ff00010101, 0x00ff00ff01ffff00, 0x00ff00ff01ff0001, 0x00ff00ff01ff0100, + 0x00ff00ff0100ffff, 0x00ff00ff0100ff01, 0x00ff00ff01000000, 0x00ff00ff0101ffff, + 0x00ff00ff0101ff00, 0x00ff00ff01010100, 0x00ff0000ffffff00, 0x00ff0000ffffff01, + 0x00ff0000ffff0000, 0x00ff0000ffff0101, 0x00ff0000ff00ff00, 0x00ff0000ff0000ff, + 0x00ff0000ff000000, 0x00ff0000ff000001, 0x00ff0000ff000100, 0x00ff0000ff01ffff, + 0x00ff0000ff010000, 0x00ff0000ff010101, 0x00ff000000ffff00, 0x00ff000000ff00ff, + 0x00ff000000ff0000, 0x00ff000000ff0001, 0x00ff000000ff0100, 0x00ff00000000ffff, + 0x00ff00000000ff00, 0x00ff0000000000ff, 0x00ff000000000000, 0x00ff000000000001, + 0x00ff0000000001ff, 0x00ff000000000100, 0x00ff00000001ff00, 0x00ff0000000100ff, + 0x00ff000000010000, 0x00ff000000010001, 0x00ff000000010100, 0x00ff000001ffff01, + 0x00ff000001ff00ff, 0x00ff000001ff0000, 0x00ff000001ff01ff, 0x00ff00000100ff00, + 0x00ff0000010000ff, 0x00ff000001000000, 0x00ff000001000001, 0x00ff000001000100, + 0x00ff000001000101, 0x00ff000001010000, 0x00ff0000010101ff, 0x00ff000001010101, + 0x00ff0001ffffff00, 0x00ff0001ffff0000, 0x00ff0001ffff0100, 0x00ff0001ff0000ff, + 0x00ff0001ff000000, 0x00ff0001ff0001ff, 0x00ff0001ff000101, 0x00ff0001ff01ff00, + 0x00ff0001ff0100ff, 0x00ff0001ff010100, 0x00ff000100ffffff, 0x00ff000100ffff01, + 0x00ff000100ff0000, 0x00ff000100ff01ff, 0x00ff00010000ffff, 0x00ff00010000ff00, + 0x00ff00010000ff01, 0x00ff000100000000, 0x00ff000100000001, 0x00ff000100000100, + 0x00ff00010001ff01, 0x00ff000100010000, 0x00ff0001000101ff, 0x00ff000101ffff00, + 0x00ff000101ff0000, 0x00ff000101ff0101, 0x00ff0001010000ff, 0x00ff000101000000, + 0x00ff00010101ff00, 0x00ff0001010100ff, 0x00ff000101010001, 0x00ff01ffffff0000, + 0x00ff01ffff00ff00, 0x00ff01ffff000000, 0x00ff01ffff000101, 0x00ff01ffff010000, + 0x00ff01ff00ffff01, 0x00ff01ff00ff0100, 0x00ff01ff0000ffff, 0x00ff01ff00000000, + 0x00ff01ff000001ff, 0x00ff01ff0001ff00, 0x00ff01ff000100ff, 0x00ff01ff00010001, + 0x00ff01ff00010100, 0x00ff01ff01ff0000, 0x00ff01ff0100ff00, 0x00ff01ff010000ff, + 0x00ff01ff01000001, 0x00ff01ff01000100, 0x00ff01ff01010000, 0x00ff0100ffffff00, + 0x00ff0100ffff0000, 0x00ff0100ffff0001, 0x00ff0100ffff0101, 0x00ff0100ff00ffff, + 0x00ff0100ff0000ff, 0x00ff0100ff000000, 0x00ff0100ff0001ff, 0x00ff0100ff01ff00, + 0x00ff0100ff0100ff, 0x00ff0100ff010001, 0x00ff010000ffffff, 0x00ff010000ff0000, + 0x00ff010000ff0101, 0x00ff01000000ff00, 0x00ff01000000ff01, 0x00ff0100000000ff, + 0x00ff010000000000, 0x00ff010000000001, 0x00ff010000000100, 0x00ff01000001ffff, + 0x00ff01000001ff01, 0x00ff010000010000, 0x00ff010000010001, 0x00ff010000010101, + 0x00ff010001ff0001, 0x00ff010001ff0100, 0x00ff01000100ff01, 0x00ff010001000000, + 0x00ff010001000001, 0x00ff0100010001ff, 0x00ff01000101ff00, 0x00ff0100010100ff, + 0x00ff010001010001, 0x00ff010001010100, 0x00ff0101ff000001, 0x00ff010100ff00ff, + 0x00ff010100ff0001, 0x00ff010100ff0100, 0x00ff010100000000, 0x00ff0101000001ff, + 0x00ff010100000101, 0x00ff0101000100ff, 0x00ff010100010100, 0x00ff0101010000ff, + 0x00ff010101010000, 0x0000ffffffffff00, 0x0000ffffffff00ff, 0x0000ffffffff0000, + 0x0000ffffffff0001, 0x0000ffffffff0100, 0x0000ffffff00ff01, 0x0000ffffff000000, + 0x0000ffffff000101, 0x0000ffffff01ff00, 0x0000ffffff0100ff, 0x0000ffffff010100, + 0x0000ffff00ffffff, 0x0000ffff00ff0000, 0x0000ffff00ff01ff, 0x0000ffff0000ff00, + 0x0000ffff000000ff, 0x0000ffff00000000, 0x0000ffff00000001, 0x0000ffff00000100, + 0x0000ffff00010000, 0x0000ffff000101ff, 0x0000ffff01ff0001, 0x0000ffff01ff0100, + 0x0000ffff01000000, 0x0000ffff010001ff, 0x0000ffff0101ffff, 0x0000ffff0101ff00, + 0x0000ffff01010001, 0x0000ffff01010100, 0x0000ff00ffff0000, 0x0000ff00ffff01ff, + 0x0000ff00ffff0100, 0x0000ff00ffff0101, 0x0000ff00ff00ff00, 0x0000ff00ff0000ff, + 0x0000ff00ff000000, 0x0000ff00ff000001, 0x0000ff00ff0001ff, 0x0000ff00ff000100, + 0x0000ff00ff01ffff, 0x0000ff00ff010000, 0x0000ff00ff010001, 0x0000ff00ff0101ff, + 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0x0000ff010100ffff, 0x0000ff010100ff01, 0x0000ff0101000000, 0x0000ff0101000100, + 0x0000ff0101000101, 0x0000ff01010100ff, 0x000000ffffff00ff, 0x000000ffffff0000, + 0x000000ffff00ff00, 0x000000ffff0000ff, 0x000000ffff000000, 0x000000ffff000001, + 0x000000ffff0001ff, 0x000000ffff000100, 0x000000ffff01ff00, 0x000000ffff010000, + 0x000000ffff0101ff, 0x000000ffff010101, 0x000000ff00ffff00, 0x000000ff00ff00ff, + 0x000000ff00ff0000, 0x000000ff00ff0001, 0x000000ff00ff0100, 0x000000ff00ff0101, + 0x000000ff0000ffff, 0x000000ff0000ff00, 0x000000ff000000ff, 0x000000ff00000000, + 0x000000ff00000001, 0x000000ff000001ff, 0x000000ff00000100, 0x000000ff00000101, + 0x000000ff0001ff00, 0x000000ff0001ff01, 0x000000ff000100ff, 0x000000ff00010000, + 0x000000ff00010001, 0x000000ff00010100, 0x000000ff01ffffff, 0x000000ff01ff01ff, + 0x000000ff01ff0101, 0x000000ff0100ff00, 0x000000ff010000ff, 0x000000ff01000000, + 0x000000ff01000001, 0x000000ff01000100, 0x000000ff0101ff00, 0x000000ff010100ff, + 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0x0000000001ff0000, 0x0000000001ff0100, 0x0000000001ff0101, 0x000000000100ffff, + 0x000000000100ff00, 0x00000000010000ff, 0x0000000001000000, 0x0000000001000001, + 0x00000000010001ff, 0x0000000001000100, 0x000000000101ff00, 0x00000000010100ff, + 0x0000000001010000, 0x0000000001010001, 0x0000000001010100, 0x00000001ffffffff, + 0x00000001ffffff00, 0x00000001ffffff01, 0x00000001ffff00ff, 0x00000001ffff0001, + 0x00000001ffff01ff, 0x00000001ffff0100, 0x00000001ff00ff00, 0x00000001ff0000ff, + 0x00000001ff000000, 0x00000001ff0001ff, 0x00000001ff000100, 0x00000001ff01ffff, + 0x00000001ff01ff00, 0x00000001ff01ff01, 0x00000001ff0100ff, 0x00000001ff010000, + 0x00000001ff010001, 0x00000001ff0101ff, 0x00000001ff010100, 0x0000000100ffff00, + 0x0000000100ff0000, 0x0000000100ff0001, 0x0000000100ff01ff, 0x0000000100ff0100, + 0x0000000100ff0101, 0x000000010000ffff, 0x000000010000ff00, 0x000000010000ff01, + 0x00000001000000ff, 0x0000000100000000, 0x0000000100000001, 0x00000001000001ff, + 0x0000000100000100, 0x0000000100000101, 0x000000010001ff00, 0x00000001000100ff, + 0x0000000100010000, 0x0000000100010100, 0x0000000101ffff01, 0x0000000101ff0000, + 0x0000000101ff0001, 0x0000000101ff01ff, 0x0000000101ff0100, 0x0000000101ff0101, + 0x000000010100ff00, 0x0000000101000000, 0x0000000101000101, 0x000000010101ff01, + 0x0000000101010000, 0x0000000101010001, 0x00000001010101ff, 0x0000000101010100, + 0x000001ffffff00ff, 0x000001ffffff0000, 0x000001ffffff0001, 0x000001ffffff0100, + 0x000001ffff00ffff, 0x000001ffff000000, 0x000001ffff0001ff, 0x000001ffff01ff00, + 0x000001ffff010101, 0x000001ff00ff0000, 0x000001ff00ff01ff, 0x000001ff00ff0101, + 0x000001ff0000ff00, 0x000001ff000000ff, 0x000001ff00000000, 0x000001ff00000001, + 0x000001ff000001ff, 0x000001ff00000100, 0x000001ff0001ffff, 0x000001ff0001ff01, + 0x000001ff000100ff, 0x000001ff00010000, 0x000001ff01ffff01, 0x000001ff01ff0100, + 0x000001ff0100ffff, 0x000001ff0100ff01, 0x000001ff01000000, 0x000001ff010001ff, + 0x000001ff0101ff00, 0x000001ff01010100, 0x00000100ffffff00, 0x00000100ffffff01, + 0x00000100ffff0000, 0x00000100ffff0101, 0x00000100ff00ff00, 0x00000100ff0000ff, + 0x00000100ff000000, 0x00000100ff000001, 0x00000100ff000100, 0x00000100ff010000, + 0x0000010000ffff00, 0x0000010000ff00ff, 0x0000010000ff0000, 0x0000010000ff0001, + 0x0000010000ff0100, 0x000001000000ffff, 0x000001000000ff00, 0x000001000000ff01, + 0x00000100000000ff, 0x0000010000000000, 0x0000010000000001, 0x00000100000001ff, + 0x0000010000000100, 0x0000010000000101, 0x000001000001ff00, 0x00000100000100ff, + 0x0000010000010000, 0x0000010000010001, 0x0000010000010100, 0x0000010001ffff00, + 0x0000010001ff0000, 0x0000010001ff0100, 0x000001000100ff00, 0x00000100010000ff, + 0x0000010001000000, 0x0000010001000001, 0x00000100010001ff, 0x0000010001000100, + 0x0000010001010000, 0x00000101ffff00ff, 0x00000101ffff01ff, 0x00000101ff000000, + 0x00000101ff000101, 0x00000101ff01ffff, 0x00000101ff010000, 0x00000101ff010001, + 0x00000101ff010100, 0x0000010100ff0000, 0x0000010100ff01ff, 0x0000010100ff0100, + 0x000001010000ff00, 0x0000010100000000, 0x0000010100000001, 0x00000101000001ff, + 0x0000010100000100, 0x000001010001ff01, 0x0000010100010000, 0x00000101000101ff, + 0x0000010100010101, 0x0000010101ffff00, 0x0000010101ff0101, 0x000001010100ff01, + 0x0000010101000000, 0x0000010101000001, 0x00000101010001ff, 0x0000010101000101, + 0x000001010101ff00, 0x0001ffffffff0000, 0x0001ffffff0000ff, 0x0001ffffff000001, + 0x0001ffffff000100, 0x0001ffffff010000, 0x0001ffff00ff00ff, 0x0001ffff0000ffff, + 0x0001ffff00000000, 0x0001ffff00000001, 0x0001ffff000001ff, 0x0001ffff00000101, + 0x0001ffff0001ff00, 0x0001ffff000100ff, 0x0001ffff00010001, 0x0001ffff00010100, + 0x0001ffff01ffff00, 0x0001ffff01000001, 0x0001ffff01010000, 0x0001ff00ffffff00, + 0x0001ff00ffff00ff, 0x0001ff00ffff0001, 0x0001ff00ffff0100, 0x0001ff00ff00ff01, + 0x0001ff00ff000000, 0x0001ff00ff01ff00, 0x0001ff00ff01ff01, 0x0001ff00ff010001, + 0x0001ff00ff010100, 0x0001ff0000ff0000, 0x0001ff0000ff0100, 0x0001ff000000ff00, + 0x0001ff0000000000, 0x0001ff0000000001, 0x0001ff0000000100, 0x0001ff0000010000, + 0x0001ff0000010001, 0x0001ff0000010101, 0x0001ff0001ff00ff, 0x0001ff0001ff0101, + 0x0001ff000100ff01, 0x0001ff0001000000, 0x0001ff000101ff00, 0x0001ff0001010001, + 0x0001ff0001010100, 0x0001ff01ff00ff00, 0x0001ff01ff000001, 0x0001ff01ff000100, + 0x0001ff0100ffffff, 0x0001ff0100ffff00, 0x0001ff0100ff0001, 0x0001ff0100000000, + 0x0001ff0100000001, 0x0001ff01000001ff, 0x0001ff010001ffff, 0x0001ff0101ff0000, + 0x0001ff010100ff00, 0x0001ff0101000001, 0x0001ff0101010000, 0x000100ffff00ff00, + 0x000100ffff00ff01, 0x000100ffff000000, 0x000100ffff000001, 0x000100ffff000101, + 0x000100ffff01ff00, 0x000100ffff010001, 0x000100ffff010100, 0x000100ff00ffffff, + 0x000100ff00ffff01, 0x000100ff00ff0000, 0x000100ff00ff01ff, 0x000100ff00ff0101, + 0x000100ff0000ff00, 0x000100ff000000ff, 0x000100ff00000000, 0x000100ff00000001, + 0x000100ff00000100, 0x000100ff00000101, 0x000100ff0001ffff, 0x000100ff0001ff01, + 0x000100ff00010000, 0x000100ff01ff00ff, 0x000100ff01ff0000, 0x000100ff01ff0100, + 0x000100ff0100ffff, 0x000100ff0100ff01, 0x000100ff010000ff, 0x000100ff01000000, + 0x000100ff01000001, 0x000100ff010001ff, 0x000100ff01000101, 0x000100ff0101ff00, + 0x000100ff010100ff, 0x000100ff01010100, 0x00010000ffff0000, 0x00010000ffff01ff, + 0x00010000ffff0101, 0x00010000ff00ff00, 0x00010000ff000000, 0x00010000ff000001, + 0x00010000ff000100, 0x0001000000ff00ff, 0x0001000000ff0000, 0x0001000000ff0001, + 0x0001000000ff0100, 0x000100000000ffff, 0x000100000000ff00, 0x00010000000000ff, + 0x0001000000000000, 0x0001000000000001, 0x0001000000000100, 0x000100000001ff00, + 0x00010000000100ff, 0x0001000000010000, 0x0001000000010001, 0x0001000000010100, + 0x0001000001ff0001, 0x0001000001ff0100, 0x0001000001ff0101, 0x000100000100ff00, + 0x0001000001000000, 0x0001000001000001, 0x0001000001000100, 0x0001000001000101, + 0x000100000101ff01, 0x0001000001010000, 0x0001000001010001, 0x00010000010101ff, + 0x00010001ffffff01, 0x00010001ffff0100, 0x00010001ff000000, 0x00010001ff01ffff, + 0x00010001ff010001, 0x00010001ff0101ff, 0x00010001ff010100, 0x0001000100ffffff, + 0x0001000100ff0000, 0x0001000100ff01ff, 0x0001000100ff0101, 0x000100010000ff00, + 0x00010001000000ff, 0x0001000100000000, 0x0001000100000001, 0x00010001000001ff, + 0x0001000100000101, 0x000100010001ffff, 0x0001000100010000, 0x00010001000101ff, + 0x0001000101ffffff, 0x0001000101ffff01, 0x0001000101ff0000, 0x0001000101ff0101, + 0x00010001010000ff, 0x0001000101000001, 0x00010001010001ff, 0x0001000101000100, + 0x000100010101ffff, 0x00010001010100ff, 0x0001000101010001, 0x0001000101010101, + 0x000101ffff000001, 0x000101ffff000100, 0x000101ffff010000, 0x000101ff00ffff00, + 0x000101ff0000ff01, 0x000101ff00000000, 0x000101ff00000101, 0x000101ff0001ff00, + 0x000101ff00010100, 0x000101ff01ff0000, 0x000101ff0100ff00, 0x000101ff010001ff, + 0x000101ff01010001, 0x00010100ffffff00, 0x00010100ffff00ff, 0x00010100ff00ffff, + 0x00010100ff000000, 0x00010100ff01ff00, 0x00010100ff0100ff, 0x00010100ff010001, + 0x00010100ff010100, 0x0001010000ffffff, 0x0001010000ffff00, 0x0001010000ff0000, + 0x0001010000ff0001, 0x0001010000ff01ff, 0x000101000000ff00, 0x00010100000000ff, + 0x0001010000000000, 0x0001010000000001, 0x0001010000000100, 0x000101000001ffff, + 0x0001010000010000, 0x0001010000010101, 0x0001010001ffff01, 0x0001010001ff00ff, + 0x0001010001ff0101, 0x0001010001000000, 0x000101000101ff00, 0x00010100010100ff, + 0x0001010001010000, 0x0001010001010100, 0x00010101ff00ff00, 0x00010101ff000001, + 0x00010101ff0001ff, 0x0001010100ffff00, 0x0001010100ff00ff, 0x0001010100ff0100, + 0x000101010000ffff, 0x0001010100000000, 0x00010101000001ff, 0x0001010100000101, + 0x00010101000100ff, 0x0001010100010000, 0x0001010100010100, 0x0001010101ff0001, + 0x00010101010000ff, 0x00010101010001ff, 0x0001010101000101, 0x0001010101010001, + 0x01ffffffffffffff, 0x01ffffffffffff01, 0x01ffffffffff01ff, 0x01ffffffffff0101, + 0x01ffffffff01ffff, 0x01ffffffff01ff01, 0x01ffffffff0101ff, 0x01ffffffff010101, + 0x01ffffff00ff0000, 0x01ffffff0000ffff, 0x01ffffff0000ff00, 0x01ffffff000000ff, + 0x01ffffff00000001, 0x01ffffff00000100, 0x01ffffff00010000, 0x01ffffff01ffffff, + 0x01ffffff01ffff01, 0x01ffffff01ff01ff, 0x01ffffff01ff0101, 0x01ffffff01000000, + 0x01ffffff0101ffff, 0x01ffffff0101ff01, 0x01ffffff010101ff, 0x01ffffff01010101, + 0x01ffff00ffff0000, 0x01ffff00ff00ff00, 0x01ffff00ff0000ff, 0x01ffff00ff000001, + 0x01ffff00ff000100, 0x01ffff00ff010000, 0x01ffff0000ffff00, 0x01ffff0000ff00ff, + 0x01ffff0000ff0100, 0x01ffff000000ffff, 0x01ffff000000ff01, 0x01ffff0000000000, + 0x01ffff0000000001, 0x01ffff00000001ff, 0x01ffff0000000100, 0x01ffff00000100ff, + 0x01ffff0000010001, 0x01ffff0000010100, 0x01ffff0001ff0000, 0x01ffff0001ff0100, + 0x01ffff00010000ff, 0x01ffff0001000001, 0x01ffff0001000100, 0x01ffff0001010000, + 0x01ffff01ffffffff, 0x01ffff01ffffff01, 0x01ffff01ffff01ff, 0x01ffff01ffff0101, + 0x01ffff01ff000000, 0x01ffff01ff01ffff, 0x01ffff01ff01ff01, 0x01ffff01ff0101ff, + 0x01ffff01ff010101, 0x01ffff010000ff00, 0x01ffff01000000ff, 0x01ffff0100000100, + 0x01ffff0100010000, 0x01ffff0101ffffff, 0x01ffff0101ffff01, 0x01ffff0101ff01ff, + 0x01ffff0101ff0101, 0x01ffff0101000000, 0x01ffff010101ffff, 0x01ffff010101ff01, + 0x01ffff01010101ff, 0x01ffff0101010101, 0x01ff00ffff0000ff, 0x01ff00ffff000100, + 0x01ff00ff00ffff00, 0x01ff00ff00ff00ff, 0x01ff00ff0000ff00, 0x01ff00ff00000000, + 0x01ff00ff00000101, 0x01ff00ff0001ff00, 0x01ff00ff000100ff, 0x01ff00ff00010100, + 0x01ff00ff010000ff, 0x01ff00ff01000100, 0x01ff0000ffffff00, 0x01ff0000ffff0100, + 0x01ff0000ff00ff01, 0x01ff0000ff000000, 0x01ff0000ff000101, 0x01ff0000ff010001, + 0x01ff0000ff010100, 0x01ff000000ffffff, 0x01ff000000ffff00, 0x01ff000000ff0000, + 0x01ff000000ff01ff, 0x01ff00000000ff00, 0x01ff0000000000ff, 0x01ff000000000000, + 0x01ff000000000001, 0x01ff000000000100, 0x01ff000000000101, 0x01ff000000010000, + 0x01ff000000010001, 0x01ff0000000101ff, 0x01ff000000010101, 0x01ff000001ffff00, + 0x01ff000001ff00ff, 0x01ff000001ff0001, 0x01ff000001ff0100, 0x01ff00000100ffff, + 0x01ff00000100ff01, 0x01ff000001000000, 0x01ff0000010001ff, 0x01ff000001010001, + 0x01ff0001ff00ff00, 0x01ff0001ff000001, 0x01ff0001ff000100, 0x01ff0001ff010000, + 0x01ff000100ffff00, 0x01ff000100ff00ff, 0x01ff000100ff0100, 0x01ff000100ff0101, + 0x01ff00010000ffff, 0x01ff000100000000, 0x01ff000100000100, 0x01ff000100000101, + 0x01ff00010001ff00, 0x01ff000100010001, 0x01ff000100010101, 0x01ff000101ff0000, + 0x01ff00010100ff00, 0x01ff000101000101, 0x01ff0001010100ff, 0x01ff01ffffffffff, + 0x01ff01ffffffff01, 0x01ff01ffffff01ff, 0x01ff01ffffff0101, 0x01ff01ffff000000, + 0x01ff01ffff01ffff, 0x01ff01ffff01ff01, 0x01ff01ffff0101ff, 0x01ff01ffff010101, + 0x01ff01ff00ffff00, 0x01ff01ff00ff0000, 0x01ff01ff0000ff00, 0x01ff01ff000000ff, + 0x01ff01ff00000100, 0x01ff01ff00010000, 0x01ff01ff00010100, 0x01ff01ff01ffffff, + 0x01ff01ff01ffff01, 0x01ff01ff01ff01ff, 0x01ff01ff01ff0101, 0x01ff01ff01000000, + 0x01ff01ff0101ffff, 0x01ff01ff0101ff01, 0x01ff01ff010101ff, 0x01ff01ff01010101, + 0x01ff0100ffff0000, 0x01ff0100ffff0001, 0x01ff0100ff00ff00, 0x01ff0100ff0000ff, + 0x01ff0100ff000001, 0x01ff0100ff010000, 0x01ff010000ffff00, 0x01ff010000ff00ff, + 0x01ff010000ff0001, 0x01ff010000ff0100, 0x01ff01000000ffff, 0x01ff01000000ff01, + 0x01ff010000000000, 0x01ff010000000101, 0x01ff01000001ff00, 0x01ff0100000100ff, + 0x01ff010001ff0000, 0x01ff010001000001, 0x01ff010001000100, 0x01ff010001010000, + 0x01ff0101ffffffff, 0x01ff0101ffffff01, 0x01ff0101ffff01ff, 0x01ff0101ffff0101, + 0x01ff0101ff000000, 0x01ff0101ff01ffff, 0x01ff0101ff01ff01, 0x01ff0101ff0101ff, + 0x01ff0101ff010101, 0x01ff010100ff0000, 0x01ff01010000ff00, 0x01ff0101000000ff, + 0x01ff010100000001, 0x01ff010101ffffff, 0x01ff010101ffff01, 0x01ff010101ff01ff, + 0x01ff010101ff0101, 0x01ff010101000000, 0x01ff01010101ffff, 0x01ff01010101ff01, + 0x01ff0101010101ff, 0x01ff010101010101, 0x0100ffffffff0000, 0x0100ffffff00ff00, + 0x0100ffffff000001, 0x0100ffffff0001ff, 0x0100ffffff000100, 0x0100ffffff010000, + 0x0100ffff00ffff00, 0x0100ffff00ff0001, 0x0100ffff00ff0100, 0x0100ffff00000000, + 0x0100ffff000001ff, 0x0100ffff00000101, 0x0100ffff00010100, 0x0100ffff00010101, + 0x0100ffff01ff0000, 0x0100ffff0100ff00, 0x0100ffff010000ff, 0x0100ffff01000001, + 0x0100ffff01000100, 0x0100ffff01010000, 0x0100ff00ffffff00, 0x0100ff00ffff00ff, + 0x0100ff00ffff0001, 0x0100ff00ffff0100, 0x0100ff00ff00ffff, 0x0100ff00ff000000, + 0x0100ff00ff0001ff, 0x0100ff00ff000101, 0x0100ff00ff01ff00, 0x0100ff00ff0100ff, + 0x0100ff00ff010001, 0x0100ff00ff010100, 0x0100ff0000ffffff, 0x0100ff0000ff0000, + 0x0100ff000000ffff, 0x0100ff000000ff00, 0x0100ff00000000ff, 0x0100ff0000000000, + 0x0100ff0000000001, 0x0100ff0000000100, 0x0100ff000001ff01, 0x0100ff0000010000, + 0x0100ff0001ff00ff, 0x0100ff0001ff0001, 0x0100ff000100ff01, 0x0100ff0001000000, + 0x0100ff00010001ff, 0x0100ff000101ff00, 0x0100ff00010100ff, 0x0100ff0001010001, + 0x0100ff0001010100, 0x0100ff01ffff0000, 0x0100ff01ff00ff00, 0x0100ff01ff0000ff, + 0x0100ff01ff000100, 0x0100ff01ff010000, 0x0100ff0100ff00ff, 0x0100ff0100ff0001, + 0x0100ff0100ff0100, 0x0100ff010000ffff, 0x0100ff010000ff01, 0x0100ff0100000000, + 0x0100ff01000001ff, 0x0100ff0100010001, 0x0100ff0100010100, 0x0100ff0101ff0000, + 0x0100ff01010000ff, 0x0100ff0101000001, 0x0100ff0101010100, 0x010000ffffffff00, + 0x010000ffffff00ff, 0x010000ffffff0001, 0x010000ffff00ffff, 0x010000ffff000000, + 0x010000ffff0001ff, 0x010000ffff010001, 0x010000ff00ffffff, 0x010000ff00ff0101, + 0x010000ff0000ff00, 0x010000ff000000ff, 0x010000ff00000000, 0x010000ff00000001, + 0x010000ff000001ff, 0x010000ff00000100, 0x010000ff0001ffff, 0x010000ff0001ff00, + 0x010000ff0001ff01, 0x010000ff00010000, 0x010000ff01ff00ff, 0x010000ff01ff0001, + 0x010000ff0100ff01, 0x010000ff010000ff, 0x010000ff01000000, 0x010000ff010001ff, + 0x010000ff0101ff00, 0x010000ff01010100, 0x01000000ffffffff, 0x01000000ffff0000, + 0x01000000ffff01ff, 0x01000000ffff0101, 0x01000000ff00ffff, 0x01000000ff00ff00, + 0x01000000ff0000ff, 0x01000000ff000000, 0x01000000ff000001, 0x01000000ff000100, + 0x01000000ff01ff00, 0x01000000ff010000, 0x01000000ff010100, 0x01000000ff010101, + 0x0100000000ffff00, 0x0100000000ff00ff, 0x0100000000ff0000, 0x0100000000ff0001, + 0x0100000000ff0100, 0x010000000000ffff, 0x010000000000ff00, 0x010000000000ff01, + 0x01000000000000ff, 0x0100000000000000, 0x0100000000000001, 0x01000000000001ff, + 0x0100000000000100, 0x0100000000000101, 0x010000000001ff00, 0x01000000000100ff, + 0x0100000000010000, 0x0100000000010001, 0x0100000000010100, 0x0100000001ffff00, + 0x0100000001ff0000, 0x0100000001ff01ff, 0x010000000100ff00, 0x010000000100ff01, + 0x01000000010000ff, 0x0100000001000000, 0x0100000001000001, 0x0100000001000100, + 0x0100000001000101, 0x010000000101ffff, 0x010000000101ff01, 0x0100000001010000, + 0x01000000010101ff, 0x0100000001010101, 0x01000001ffffff00, 0x01000001ffff00ff, + 0x01000001ff00ffff, 0x01000001ff000000, 0x01000001ff000100, 0x01000001ff01ffff, + 0x01000001ff010001, 0x01000001ff010100, 0x0100000100ff0000, 0x0100000100ff01ff, + 0x0100000100ff0100, 0x010000010000ff00, 0x010000010000ff01, 0x0100000100000000, + 0x0100000100000001, 0x0100000100000100, 0x0100000100010000, 0x01000001000101ff, + 0x0100000101ffff01, 0x0100000101ff00ff, 0x0100000101ff0100, 0x0100000101ff0101, + 0x010000010100ff01, 0x01000001010000ff, 0x0100000101000000, 0x01000001010100ff, + 0x0100000101010001, 0x0100000101010100, 0x010001ffffff0000, 0x010001ffff000001, + 0x010001ffff000100, 0x010001ffff010000, 0x010001ff00ffff00, 0x010001ff00ff0001, + 0x010001ff0000ffff, 0x010001ff0000ff01, 0x010001ff00000000, 0x010001ff00000001, + 0x010001ff00000101, 0x010001ff000100ff, 0x010001ff00010000, 0x010001ff01ff0000, + 0x010001ff0100ff00, 0x010001ff01000001, 0x010001ff01000100, 0x010001ff01010000, + 0x01000100ffff00ff, 0x01000100ffff0001, 0x01000100ffff0100, 0x01000100ff00ffff, + 0x01000100ff00ff01, 0x01000100ff000000, 0x01000100ff0001ff, 0x01000100ff000101, + 0x01000100ff01ffff, 0x01000100ff01ff00, 0x01000100ff0100ff, 0x01000100ff010001, + 0x0100010000ffffff, 0x0100010000ffff01, 0x0100010000ff0000, 0x0100010000ff01ff, + 0x0100010000ff0101, 0x010001000000ff00, 0x01000100000000ff, 0x0100010000000000, + 0x0100010000000001, 0x0100010000000100, 0x010001000001ff01, 0x0100010000010000, + 0x0100010000010001, 0x0100010000010101, 0x0100010001ffff00, 0x0100010001ff00ff, + 0x010001000100ffff, 0x010001000100ff01, 0x0100010001000000, 0x0100010001000101, + 0x010001000101ff00, 0x0100010001010001, 0x01000101ffff0000, 0x01000101ff000000, + 0x01000101ff010000, 0x0100010100ff00ff, 0x0100010100ff0001, 0x0100010100ff0100, + 0x010001010000ffff, 0x0100010100000000, 0x01000101000001ff, 0x010001010001ff00, + 0x0100010101ff0000, 0x010001010100ff00, 0x01000101010000ff, 0x0100010101000000, + 0x0100010101000001, 0x0101ffffffffffff, 0x0101ffffffffff01, 0x0101ffffffff01ff, + 0x0101ffffffff0101, 0x0101ffffff000000, 0x0101ffffff01ffff, 0x0101ffffff01ff01, + 0x0101ffffff0101ff, 0x0101ffffff010101, 0x0101ffff00ff0000, 0x0101ffff0000ff00, + 0x0101ffff000000ff, 0x0101ffff00000001, 0x0101ffff00000100, 0x0101ffff01ffffff, + 0x0101ffff01ffff01, 0x0101ffff01ff01ff, 0x0101ffff01ff0101, 0x0101ffff01000000, + 0x0101ffff0101ffff, 0x0101ffff0101ff01, 0x0101ffff010101ff, 0x0101ffff01010101, + 0x0101ff00ffff0000, 0x0101ff00ffff0100, 0x0101ff00ff00ff00, 0x0101ff00ff0000ff, + 0x0101ff00ff000001, 0x0101ff00ff000100, 0x0101ff00ff000101, 0x0101ff0000ff0001, + 0x0101ff0000ff0100, 0x0101ff000000ff00, 0x0101ff0000000000, 0x0101ff00000001ff, + 0x0101ff0000000101, 0x0101ff000001ff00, 0x0101ff00000100ff, 0x0101ff0001ff0000, + 0x0101ff000100ffff, 0x0101ff000100ff01, 0x0101ff0001000001, 0x0101ff0001000100, + 0x0101ff01ffffff01, 0x0101ff01ffff01ff, 0x0101ff01ffff0101, 0x0101ff01ff00ffff, + 0x0101ff01ff000100, 0x0101ff01ff01ff01, 0x0101ff01ff0101ff, 0x0101ff01ff010101, + 0x0101ff0100ff0000, 0x0101ff010000ff00, 0x0101ff0100000001, 0x0101ff0100000100, + 0x0101ff0100010000, 0x0101ff0101ffffff, 0x0101ff0101ffff01, 0x0101ff0101ff01ff, + 0x0101ff0101ff0101, 0x0101ff0101000000, 0x0101ff010101ffff, 0x0101ff010101ff01, + 0x0101ff01010101ff, 0x0101ff0101010101, 0x010100ffff000100, 0x010100ffff010000, + 0x010100ff00ffff00, 0x010100ff00ff00ff, 0x010100ff0000ffff, 0x010100ff000000ff, + 0x010100ff00000000, 0x010100ff000001ff, 0x010100ff00000101, 0x010100ff0001ff00, + 0x010100ff00010000, 0x010100ff00010001, 0x010100ff000101ff, 0x010100ff00010100, + 0x010100ff01ff0000, 0x01010000ffff0001, 0x01010000ffff0100, 0x01010000ff00ffff, + 0x01010000ff00ff01, 0x01010000ff000000, 0x01010000ff0001ff, 0x01010000ff010001, + 0x01010000ff010100, 0x0101000000ffff01, 0x0101000000ff0000, 0x010100000000ff00, + 0x01010000000000ff, 0x0101000000000000, 0x0101000000000001, 0x0101000000000100, + 0x0101000000010000, 0x0101000000010101, 0x0101000001ffff00, 0x0101000001ff00ff, + 0x0101000001ff0000, 0x0101000001ff0001, 0x0101000001ff0100, 0x010100000100ff01, + 0x0101000001000000, 0x01010000010001ff, 0x01010001ffff0000, 0x01010001ff00ff00, + 0x01010001ff000001, 0x01010001ff000101, 0x01010001ff01ff00, 0x01010001ff010000, + 0x0101000100ff00ff, 0x0101000100ff0001, 0x0101000100ff0101, 0x010100010000ff01, + 0x0101000100000000, 0x0101000100000001, 0x01010001000001ff, 0x010100010001ffff, + 0x010100010001ff01, 0x0101000101ff0001, 0x010100010100ffff, 0x0101000101000000, + 0x0101000101000001, 0x0101000101000100, 0x010100010101ff00, 0x01010001010100ff, + 0x0101000101010001, 0x010101ffffffffff, 0x010101ffffffff01, 0x010101ffffff01ff, + 0x010101ffffff0101, 0x010101ffff01ffff, 0x010101ffff01ff01, 0x010101ffff0101ff, + 0x010101ffff010101, 0x010101ff0000ff00, 0x010101ff000000ff, 0x010101ff00000001, + 0x010101ff00000100, 0x010101ff01ffffff, 0x010101ff01ffff01, 0x010101ff01ff01ff, + 0x010101ff01ff0101, 0x010101ff01000000, 0x010101ff0101ffff, 0x010101ff0101ff01, + 0x010101ff010101ff, 0x010101ff01010101, 0x01010100ffff0000, 0x01010100ff0000ff, + 0x01010100ff000100, 0x01010100ff01ff00, 0x01010100ff010000, 0x0101010000ffff00, + 0x010101000000ffff, 0x0101010000000000, 0x0101010000000101, 0x010101000001ff00, + 0x0101010000010001, 0x0101010000010100, 0x010101000100ffff, 0x0101010001000001, + 0x01010101ffffffff, 0x01010101ffffff01, 0x01010101ffff01ff, 0x01010101ffff0101, + 0x01010101ff01ffff, 0x01010101ff01ff01, 0x01010101ff0101ff, 0x01010101ff010101, + 0x010101010000ff00, 0x01010101000000ff, 0x0101010100000001, 0x0101010101ffffff, + 0x0101010101ffff01, 0x0101010101ff01ff, 0x0101010101ff0101, 0x0101010101000000, + 0x010101010101ffff, 0x010101010101ff01, 0x01010101010101ff, 0x0101010101010101, +LM_GGML_TABLE_END() +#else +LM_GGML_TABLE_BEGIN(uint32_t, iq1s_grid_gpu, NGRID_IQ1S) + 0x00000000, 0x00000002, 0x00000101, 0x00000200, 0x00000202, 0x00010001, 0x00010101, 0x00020000, + 0x00020002, 0x00020200, 0x00020202, 0x01000101, 0x01010001, 0x01010100, 0x01010102, 0x01020101, + 0x02000000, 0x02000002, 0x02000200, 0x02000202, 0x02010101, 0x02020000, 0x02020002, 0x02020200, + 0x02020202, 0x00000110, 0x00000111, 0x00010011, 0x00010110, 0x00010112, 0x00010211, 0x00010212, + 0x00020111, 0x01000011, 0x01000112, 0x01000211, 0x01010012, 0x01010111, 0x01010212, 0x01020011, + 0x01020110, 0x01020112, 0x01020210, 0x02000111, 0x02010011, 0x02010110, 0x02010112, 0x02020111, + 0x00000020, 0x00000022, 0x00000220, 0x00000222, 0x00010121, 0x00020020, 0x00020022, 0x00020220, + 0x00020222, 0x01000121, 0x01010021, 0x01010221, 0x01020120, 0x01020221, 0x02000020, 0x02000022, + 0x02000220, 0x02000222, 0x02010021, 0x02010121, 0x02010221, 0x02020020, 0x02020022, 0x02020220, + 0x02020222, 0x00011001, 0x00011100, 0x00011102, 0x00021101, 0x01001001, 0x01001201, 0x01011101, + 0x01011202, 0x01021100, 0x01021101, 0x02011001, 0x02011201, 0x02021101, 0x00001011, 0x00001110, + 0x00001111, 0x00001112, 0x00011111, 0x00011210, 0x00011212, 0x00021211, 0x01001010, 0x01001111, + 0x01001212, 0x01011010, 0x01011011, 0x01011110, 0x01011111, 0x01011112, 0x01011211, 0x01021010, + 0x01021012, 0x01021111, 0x01021210, 0x01021212, 0x02001011, 0x02011011, 0x02011111, 0x02011210, + 0x02011212, 0x02021011, 0x02021110, 0x02021111, 0x02021112, 0x02021211, 0x00011120, 0x00011221, + 0x01001021, 0x01001120, 0x01011020, 0x01011022, 0x01011121, 0x01011220, 0x01021020, 0x01021021, + 0x01021122, 0x01021221, 0x02001121, 0x02011021, 0x02011120, 0x02011221, 0x00002000, 0x00002002, + 0x00002200, 0x00002202, 0x00012101, 0x00022000, 0x00022002, 0x00022200, 0x00022202, 0x01002101, + 0x01012001, 0x01012102, 0x01022101, 0x02002000, 0x02002002, 0x02002200, 0x02002202, 0x02012101, + 0x02022000, 0x02022002, 0x02022200, 0x02022202, 0x00002111, 0x00012011, 0x00012110, 0x00012211, + 0x00022110, 0x00022111, 0x01002011, 0x01012010, 0x01012011, 0x01012111, 0x01022011, 0x01022110, + 0x01022211, 0x02012011, 0x02012110, 0x02012112, 0x02012211, 0x02022111, 0x00002020, 0x00002022, + 0x00002220, 0x00002222, 0x00012121, 0x00022020, 0x00022022, 0x00022220, 0x00022222, 0x01002121, + 0x01012021, 0x01012221, 0x01022021, 0x01022121, 0x02002020, 0x02002022, 0x02002121, 0x02002220, + 0x02002222, 0x02012121, 0x02022020, 0x02022022, 0x02022220, 0x02022222, 0x00110000, 0x00110001, + 0x00110100, 0x00110201, 0x00120100, 0x00120101, 0x01100001, 0x01100100, 0x01110000, 0x01110101, + 0x01110200, 0x01120001, 0x01120100, 0x01120101, 0x01120201, 0x02110001, 0x02110100, 0x02110102, + 0x02120001, 0x02120101, 0x00100011, 0x00100110, 0x00100112, 0x00100211, 0x00110010, 0x00110012, + 0x00110111, 0x00110210, 0x00120011, 0x00120110, 0x00120211, 0x01100111, 0x01100212, 0x01110010, + 0x01110011, 0x01110012, 0x01110110, 0x01110111, 0x01110112, 0x01110211, 0x01120010, 0x01120111, + 0x02100110, 0x02110012, 0x02110111, 0x02120011, 0x02120110, 0x00110021, 0x00110120, 0x00110122, + 0x00120121, 0x01100020, 0x01100122, 0x01100221, 0x01110022, 0x01110121, 0x01110220, 0x01110222, + 0x01120120, 0x01120122, 0x02100121, 0x02110021, 0x02110120, 0x02110122, 0x02120121, 0x00101001, + 0x00101102, 0x00101201, 0x00111100, 0x00111101, 0x00111200, 0x00111201, 0x00121001, 0x00121102, + 0x01101001, 0x01101101, 0x01101102, 0x01101200, 0x01101202, 0x01111001, 0x01111100, 0x01111101, + 0x01111102, 0x01111201, 0x01121002, 0x01121101, 0x01121200, 0x02101100, 0x02101201, 0x02111000, + 0x02111100, 0x02111101, 0x02111200, 0x02111201, 0x02111202, 0x02121001, 0x02121100, 0x02121101, + 0x02121201, 0x00101012, 0x00101111, 0x00101212, 0x00111011, 0x00111110, 0x00111111, 0x00111112, + 0x00111211, 0x00121010, 0x00121012, 0x00121111, 0x00121210, 0x00121212, 0x01101011, 0x01101110, + 0x01101111, 0x01101112, 0x01111011, 0x01111012, 0x01111110, 0x01111111, 0x01111112, 0x01111211, + 0x01111212, 0x01121011, 0x01121110, 0x01121111, 0x01121112, 0x01121211, 0x02101010, 0x02101012, + 0x02101110, 0x02101111, 0x02101210, 0x02101212, 0x02111010, 0x02111011, 0x02111110, 0x02111111, + 0x02111112, 0x02111211, 0x02111212, 0x02121010, 0x02121012, 0x02121111, 0x00101021, 0x00101120, + 0x00101121, 0x00101122, 0x00111121, 0x00111122, 0x00111220, 0x00111222, 0x00121021, 0x00121122, + 0x01101020, 0x01101022, 0x01101120, 0x01101121, 0x01101220, 0x01101222, 0x01111021, 0x01111121, + 0x01111122, 0x01111220, 0x01111221, 0x01121021, 0x01121120, 0x01121121, 0x01121220, 0x01121221, + 0x01121222, 0x02101122, 0x02101222, 0x02111022, 0x02111121, 0x02121120, 0x02121221, 0x00112001, + 0x00112102, 0x00122101, 0x01102001, 0x01102100, 0x01102102, 0x01102201, 0x01112000, 0x01112101, + 0x01112200, 0x01112202, 0x01122000, 0x01122001, 0x01122100, 0x01122102, 0x01122201, 0x02102101, + 0x02112001, 0x02112100, 0x02122101, 0x00112010, 0x00112012, 0x00112111, 0x00112212, 0x00122011, + 0x00122111, 0x01102012, 0x01102110, 0x01102111, 0x01102210, 0x01112011, 0x01112110, 0x01112111, + 0x01112112, 0x01112211, 0x01112212, 0x01122010, 0x01122111, 0x01122212, 0x02102211, 0x02112011, + 0x02112012, 0x02112111, 0x02112210, 0x02122011, 0x02122112, 0x02122211, 0x00102221, 0x00112122, + 0x00122120, 0x00122122, 0x01102120, 0x01102122, 0x01102221, 0x01112020, 0x01112022, 0x01112121, + 0x01112220, 0x01122021, 0x01122122, 0x01122221, 0x02102121, 0x02112021, 0x02112122, 0x02112222, + 0x00200000, 0x00200002, 0x00200200, 0x00200202, 0x00210101, 0x00220000, 0x00220002, 0x00220101, + 0x00220200, 0x00220202, 0x01200101, 0x01210001, 0x01210201, 0x01220001, 0x01220101, 0x02200000, + 0x02200002, 0x02200200, 0x02200202, 0x02210101, 0x02220000, 0x02220002, 0x02220101, 0x02220200, + 0x02220202, 0x00200111, 0x00210011, 0x00210110, 0x00210211, 0x00220111, 0x01200012, 0x01200110, + 0x01200211, 0x01210111, 0x01210210, 0x01210212, 0x01220011, 0x01220110, 0x01220111, 0x01220112, + 0x02200111, 0x02210010, 0x02210112, 0x02210211, 0x02220111, 0x00200021, 0x00200220, 0x00200222, + 0x00210021, 0x00210121, 0x00220020, 0x00220022, 0x00220220, 0x00220222, 0x01200121, 0x01210021, + 0x01210122, 0x01210221, 0x01220121, 0x02200021, 0x02200220, 0x02200222, 0x02210021, 0x02210121, + 0x02220020, 0x02220022, 0x02220220, 0x02220222, 0x00201101, 0x00211100, 0x00211102, 0x00211201, + 0x00221101, 0x01201100, 0x01201101, 0x01201102, 0x01201201, 0x01211002, 0x01211101, 0x01211200, + 0x01211202, 0x01221102, 0x02201101, 0x02211001, 0x02211100, 0x02211201, 0x02221001, 0x02221101, + 0x00201211, 0x00211111, 0x00221011, 0x00221211, 0x01201010, 0x01201111, 0x01201210, 0x01211011, + 0x01211110, 0x01211111, 0x01211211, 0x01221012, 0x01221111, 0x01221210, 0x02201211, 0x02211010, + 0x02211110, 0x02211111, 0x02211210, 0x02211212, 0x02221011, 0x02221110, 0x02221112, 0x02221211, + 0x00201121, 0x00211020, 0x00211022, 0x00211221, 0x00221121, 0x01201021, 0x01201221, 0x01211121, + 0x01221020, 0x01221021, 0x01221221, 0x02201120, 0x02201122, 0x02211020, 0x02211222, 0x00202000, + 0x00202002, 0x00202200, 0x00202202, 0x00212101, 0x00222000, 0x00222002, 0x00222200, 0x00222202, + 0x01202101, 0x01212001, 0x01212100, 0x01222101, 0x02202000, 0x02202002, 0x02202200, 0x02202202, + 0x02222000, 0x02222002, 0x02222200, 0x02222202, 0x00202211, 0x00212011, 0x00212110, 0x00212211, + 0x00222111, 0x01202112, 0x01202211, 0x01212012, 0x01212111, 0x01222011, 0x01222110, 0x01222112, + 0x01222211, 0x02202111, 0x02212010, 0x02212112, 0x02212211, 0x02222110, 0x02222111, 0x00202020, + 0x00202022, 0x00202220, 0x00202222, 0x00222020, 0x00222022, 0x00222220, 0x00222222, 0x01202121, + 0x01212021, 0x01212122, 0x01212221, 0x01222121, 0x02202020, 0x02202022, 0x02202220, 0x02202222, + 0x02212121, 0x02222020, 0x02222022, 0x02222220, 0x02222222, 0x10000101, 0x10010001, 0x10010102, + 0x10020101, 0x11000201, 0x11010002, 0x11010101, 0x11010200, 0x11010202, 0x11020001, 0x11020100, + 0x11020102, 0x12010100, 0x12010201, 0x12020001, 0x12020102, 0x10000010, 0x10000011, 0x10000110, + 0x10000112, 0x10000211, 0x10010012, 0x10010111, 0x10010112, 0x10010210, 0x10010212, 0x10020011, + 0x10020112, 0x10020211, 0x11000111, 0x11000210, 0x11000212, 0x11010011, 0x11010110, 0x11010111, + 0x11010112, 0x11010211, 0x11010212, 0x11020111, 0x11020210, 0x11020212, 0x12000011, 0x12000110, + 0x12000112, 0x12010010, 0x12010012, 0x12010111, 0x12020010, 0x12020011, 0x12020012, 0x10000121, + 0x10010021, 0x10010120, 0x10010122, 0x10020121, 0x11000021, 0x11010022, 0x11010121, 0x11010222, + 0x11020120, 0x11020221, 0x12000221, 0x12010120, 0x12020121, 0x10001001, 0x10011101, 0x10011201, + 0x10021201, 0x11001101, 0x11001200, 0x11001202, 0x11011001, 0x11011100, 0x11011101, 0x11011102, + 0x11021001, 0x11021002, 0x11021101, 0x11021200, 0x11021202, 0x12001001, 0x12001102, 0x12001201, + 0x12011000, 0x12011002, 0x12011101, 0x12021000, 0x12021001, 0x12021201, 0x10001011, 0x10001012, + 0x10001111, 0x10001212, 0x10011011, 0x10011110, 0x10011111, 0x10011112, 0x10011211, 0x10021010, + 0x10021111, 0x10021212, 0x11001011, 0x11001110, 0x11001111, 0x11001112, 0x11001211, 0x11011010, + 0x11011011, 0x11011110, 0x11011111, 0x11011112, 0x11011210, 0x11011211, 0x11021011, 0x11021110, + 0x11021111, 0x11021112, 0x11021211, 0x12001012, 0x12001110, 0x12001111, 0x12001210, 0x12011011, + 0x12011110, 0x12011111, 0x12011112, 0x12011211, 0x12011212, 0x12021111, 0x12021210, 0x12021212, + 0x10001021, 0x10001121, 0x10001221, 0x10011120, 0x10011121, 0x10011220, 0x10011222, 0x10021021, + 0x10021120, 0x10021221, 0x11001020, 0x11001022, 0x11001121, 0x11001220, 0x11011020, 0x11011021, + 0x11011022, 0x11011121, 0x11011122, 0x11011221, 0x11021022, 0x11021121, 0x11021220, 0x12001021, + 0x12001121, 0x12001222, 0x12011120, 0x12011121, 0x12021021, 0x12021120, 0x12021122, 0x10002101, + 0x10012001, 0x10012101, 0x10012202, 0x10022101, 0x11002002, 0x11002201, 0x11012000, 0x11012101, + 0x11012200, 0x11022001, 0x11022100, 0x11022102, 0x11022201, 0x12002101, 0x12012001, 0x12012100, + 0x12012102, 0x12012201, 0x12022101, 0x10002011, 0x10002111, 0x10002112, 0x10002212, 0x10012010, + 0x10012110, 0x10012111, 0x10012210, 0x10022011, 0x10022110, 0x10022112, 0x11002010, 0x11002111, + 0x11002212, 0x11012011, 0x11012012, 0x11012110, 0x11012111, 0x11012112, 0x11012211, 0x11022010, + 0x11022012, 0x11022111, 0x11022112, 0x11022212, 0x12002112, 0x12002211, 0x12012012, 0x12012111, + 0x12012112, 0x12012210, 0x12022011, 0x12022110, 0x12022112, 0x12022211, 0x10012122, 0x11002120, + 0x11002122, 0x11002221, 0x11012121, 0x11012220, 0x11012222, 0x11022120, 0x11022221, 0x12012120, + 0x12022121, 0x10100001, 0x10100100, 0x10100101, 0x10100102, 0x10100201, 0x10110002, 0x10110101, + 0x10110202, 0x10120001, 0x10120100, 0x10120201, 0x11100000, 0x11100101, 0x11100200, 0x11110001, + 0x11110100, 0x11110101, 0x11110102, 0x11110201, 0x11120101, 0x11120200, 0x12100102, 0x12100201, + 0x12110101, 0x12110200, 0x12120000, 0x12120001, 0x12120102, 0x12120201, 0x10100111, 0x10100210, + 0x10100211, 0x10100212, 0x10110011, 0x10110110, 0x10110111, 0x10110112, 0x10110210, 0x10110211, + 0x10120010, 0x10120111, 0x10120112, 0x10120210, 0x10120212, 0x11100011, 0x11100110, 0x11100111, + 0x11100112, 0x11100211, 0x11110010, 0x11110011, 0x11110012, 0x11110110, 0x11110111, 0x11110112, + 0x11110210, 0x11110211, 0x11110212, 0x11120011, 0x11120110, 0x11120111, 0x11120112, 0x11120211, + 0x12100012, 0x12100111, 0x12110011, 0x12110110, 0x12110111, 0x12110112, 0x12110211, 0x12120010, + 0x12120111, 0x12120212, 0x10100021, 0x10100122, 0x10110022, 0x10110121, 0x10110222, 0x10120021, + 0x10120120, 0x11100022, 0x11100121, 0x11100222, 0x11110021, 0x11110120, 0x11110121, 0x11110122, + 0x11110221, 0x11120022, 0x11120121, 0x12100121, 0x12110020, 0x12110022, 0x12110121, 0x12110221, + 0x12110222, 0x12120120, 0x10101100, 0x10101101, 0x10111001, 0x10111100, 0x10111101, 0x10111102, + 0x10111200, 0x10111201, 0x10121001, 0x10121101, 0x10121200, 0x10121202, 0x11101001, 0x11101100, + 0x11101101, 0x11101102, 0x11101201, 0x11101202, 0x11111000, 0x11111001, 0x11111100, 0x11111101, + 0x11111102, 0x11111200, 0x11111201, 0x11111202, 0x11121001, 0x11121002, 0x11121100, 0x11121101, + 0x11121102, 0x11121201, 0x12101000, 0x12101200, 0x12101202, 0x12111001, 0x12111100, 0x12111101, + 0x12111102, 0x12111201, 0x12121001, 0x12121100, 0x12121101, 0x12121202, 0x10101011, 0x10101012, + 0x10101110, 0x10101111, 0x10101112, 0x10101211, 0x10111010, 0x10111011, 0x10111012, 0x10111110, + 0x10111111, 0x10111112, 0x10111211, 0x10111212, 0x10121011, 0x10121110, 0x10121111, 0x10121112, + 0x10121211, 0x11101010, 0x11101011, 0x11101012, 0x11101110, 0x11101111, 0x11101112, 0x11101210, + 0x11101211, 0x11111010, 0x11111011, 0x11111012, 0x11111110, 0x11111111, 0x11111112, 0x11111210, + 0x11111211, 0x11111212, 0x11121010, 0x11121011, 0x11121110, 0x11121111, 0x11121112, 0x11121210, + 0x11121211, 0x11121212, 0x12101011, 0x12101110, 0x12101111, 0x12101211, 0x12101212, 0x12111010, + 0x12111011, 0x12111110, 0x12111111, 0x12111112, 0x12111210, 0x12111211, 0x12121011, 0x12121110, + 0x12121111, 0x12121112, 0x12121211, 0x10101020, 0x10101021, 0x10101022, 0x10101120, 0x10101122, + 0x10101220, 0x10101221, 0x10111021, 0x10111120, 0x10111121, 0x10111220, 0x10111221, 0x10121020, + 0x10121021, 0x10121022, 0x10121120, 0x10121121, 0x10121122, 0x10121220, 0x10121221, 0x11101021, + 0x11101121, 0x11101122, 0x11101220, 0x11101221, 0x11101222, 0x11111020, 0x11111021, 0x11111022, + 0x11111120, 0x11111121, 0x11111122, 0x11111220, 0x11111221, 0x11111222, 0x11121021, 0x11121120, + 0x11121121, 0x11121221, 0x12101022, 0x12101121, 0x12101122, 0x12101220, 0x12101221, 0x12101222, + 0x12111021, 0x12111121, 0x12111222, 0x12121022, 0x12121121, 0x12121122, 0x12121220, 0x12121221, + 0x10102100, 0x10102101, 0x10102102, 0x10102201, 0x10112000, 0x10112101, 0x10112200, 0x10122001, + 0x10122202, 0x11102101, 0x11102200, 0x11102202, 0x11112001, 0x11112100, 0x11112101, 0x11112102, + 0x11112200, 0x11112201, 0x11122000, 0x11122002, 0x11122100, 0x11122101, 0x12102002, 0x12102201, + 0x12112000, 0x12112002, 0x12112101, 0x12112200, 0x12122001, 0x12122201, 0x10102011, 0x10102012, + 0x10102111, 0x10102212, 0x10112011, 0x10112110, 0x10112111, 0x10112112, 0x10112211, 0x10122111, + 0x11102011, 0x11102110, 0x11102111, 0x11102112, 0x11102211, 0x11112010, 0x11112011, 0x11112012, + 0x11112110, 0x11112111, 0x11112112, 0x11112210, 0x11112211, 0x11112212, 0x11122011, 0x11122110, + 0x11122111, 0x11122112, 0x11122211, 0x12102011, 0x12102111, 0x12102211, 0x12112011, 0x12112110, + 0x12112111, 0x12112112, 0x12112210, 0x12112211, 0x12122111, 0x10102120, 0x10102220, 0x10112121, + 0x10112222, 0x10122020, 0x10122121, 0x10122122, 0x10122221, 0x11102121, 0x11102220, 0x11102221, + 0x11112021, 0x11112121, 0x11112122, 0x11112220, 0x11112221, 0x11122022, 0x11122121, 0x11122220, + 0x11122222, 0x12102021, 0x12102222, 0x12112022, 0x12112121, 0x12112122, 0x12112220, 0x12112222, + 0x12122021, 0x10200101, 0x10210100, 0x10210102, 0x10210201, 0x10220101, 0x11200100, 0x11210000, + 0x11210101, 0x11210102, 0x11210200, 0x11210202, 0x11220001, 0x11220100, 0x11220102, 0x11220201, + 0x12200001, 0x12210102, 0x12220101, 0x10200011, 0x10200110, 0x10200112, 0x10200211, 0x10210012, + 0x10210111, 0x10220011, 0x10220012, 0x10220112, 0x10220211, 0x11200111, 0x11200211, 0x11210011, + 0x11210111, 0x11210112, 0x11210211, 0x11220111, 0x11220112, 0x11220212, 0x12200110, 0x12200212, + 0x12210012, 0x12210111, 0x12220011, 0x12220112, 0x12220211, 0x10210021, 0x10210122, 0x10210221, + 0x11200020, 0x11200021, 0x11200122, 0x11210121, 0x11210122, 0x11210220, 0x11220020, 0x12200121, + 0x12210021, 0x12210122, 0x12220121, 0x10211001, 0x10211002, 0x10211101, 0x10211102, 0x10211202, + 0x10221001, 0x10221102, 0x10221201, 0x11201000, 0x11201002, 0x11201101, 0x11201200, 0x11201202, + 0x11211001, 0x11211100, 0x11211101, 0x11211102, 0x11211201, 0x11211202, 0x11221000, 0x11221002, + 0x11221101, 0x12201100, 0x12201101, 0x12201201, 0x12211000, 0x12211002, 0x12211100, 0x12211101, + 0x12211102, 0x12211200, 0x12211202, 0x12221001, 0x12221100, 0x12221201, 0x10201111, 0x10201210, + 0x10201212, 0x10211011, 0x10211111, 0x10211112, 0x10211211, 0x11201110, 0x11201111, 0x11201112, + 0x11201211, 0x11211010, 0x11211011, 0x11211110, 0x11211111, 0x11211112, 0x11211211, 0x11221011, + 0x11221110, 0x11221111, 0x11221112, 0x11221211, 0x12201112, 0x12201211, 0x12201212, 0x12211011, + 0x12211111, 0x12211112, 0x12211211, 0x12211212, 0x12221012, 0x12221111, 0x12221112, 0x12221210, + 0x10201022, 0x10201221, 0x10211121, 0x10221020, 0x10221122, 0x10221220, 0x10221221, 0x11201020, + 0x11201121, 0x11201220, 0x11201222, 0x11211021, 0x11211120, 0x11211121, 0x11211122, 0x11211220, + 0x11211222, 0x11221020, 0x11221121, 0x11221220, 0x12201020, 0x12201022, 0x12201121, 0x12201222, + 0x12211120, 0x12211122, 0x12211220, 0x12211221, 0x12221020, 0x12221120, 0x12221122, 0x12221222, + 0x10212102, 0x10212201, 0x10222101, 0x11202001, 0x11212002, 0x11212101, 0x11212202, 0x11222001, + 0x11222201, 0x12202101, 0x12212001, 0x12212200, 0x12222102, 0x10202011, 0x10202110, 0x10212010, + 0x10212111, 0x10222011, 0x10222110, 0x10222112, 0x10222211, 0x11202010, 0x11202011, 0x11202111, + 0x11202112, 0x11202210, 0x11212011, 0x11212110, 0x11212111, 0x11212112, 0x11212211, 0x11222010, + 0x11222111, 0x11222212, 0x12202012, 0x12202110, 0x12202212, 0x12212111, 0x12222011, 0x12222110, + 0x12222111, 0x12222211, 0x10212021, 0x10212122, 0x10212220, 0x11202021, 0x11202120, 0x11202221, + 0x11212020, 0x11212121, 0x11212220, 0x11212222, 0x11222120, 0x11222121, 0x11222221, 0x12202122, + 0x12212120, 0x12212220, 0x12212222, 0x12222122, 0x20000000, 0x20000002, 0x20000200, 0x20000202, + 0x20020000, 0x20020002, 0x20020200, 0x20020202, 0x21000101, 0x21010000, 0x21010001, 0x21010100, + 0x21010102, 0x21010201, 0x21020101, 0x22000000, 0x22000002, 0x22000200, 0x22000202, 0x22010101, + 0x22020000, 0x22020002, 0x22020200, 0x22020202, 0x20000111, 0x20010011, 0x20010110, 0x20010112, + 0x20010211, 0x20020111, 0x21000011, 0x21000110, 0x21000211, 0x21010010, 0x21010012, 0x21010111, + 0x21010112, 0x21010210, 0x21010211, 0x21020110, 0x21020112, 0x21020211, 0x22000111, 0x22000211, + 0x22010110, 0x22010112, 0x22010211, 0x22020111, 0x20000020, 0x20000022, 0x20000220, 0x20000222, + 0x20010121, 0x20020020, 0x20020022, 0x20020220, 0x20020222, 0x21010021, 0x21010120, 0x21010221, + 0x21020121, 0x22000020, 0x22000022, 0x22000220, 0x22000222, 0x22010121, 0x22020020, 0x22020022, + 0x22020220, 0x22020222, 0x20011100, 0x20011201, 0x21001001, 0x21001100, 0x21011001, 0x21011101, + 0x21011202, 0x21021001, 0x21021100, 0x21021201, 0x22011100, 0x22011201, 0x20001011, 0x20001211, + 0x20011012, 0x20011111, 0x20011212, 0x20021112, 0x20021211, 0x21001010, 0x21001011, 0x21001111, + 0x21001210, 0x21011011, 0x21011110, 0x21011111, 0x21011112, 0x21011211, 0x21011212, 0x21021111, + 0x21021112, 0x21021210, 0x21021212, 0x22001011, 0x22001110, 0x22001112, 0x22001211, 0x22011010, + 0x22011012, 0x22011111, 0x22011210, 0x22021112, 0x20011021, 0x20011122, 0x20011221, 0x20021121, + 0x21001021, 0x21001120, 0x21001221, 0x21001222, 0x21011020, 0x21011121, 0x21011221, 0x21011222, + 0x21021021, 0x21021122, 0x21021222, 0x22001121, 0x22011021, 0x22011222, 0x22021120, 0x20002000, + 0x20002002, 0x20002200, 0x20002202, 0x20012101, 0x20022000, 0x20022002, 0x20022200, 0x20022202, + 0x21002001, 0x21002101, 0x21012001, 0x21012100, 0x21012201, 0x21022101, 0x21022201, 0x22002000, + 0x22002002, 0x22002200, 0x22002202, 0x22012101, 0x22022000, 0x22022002, 0x22022200, 0x22022202, + 0x20002111, 0x20002112, 0x20012011, 0x20012110, 0x20012112, 0x20022111, 0x21002011, 0x21002110, + 0x21002112, 0x21002211, 0x21012010, 0x21012012, 0x21012111, 0x21012212, 0x21022011, 0x21022110, + 0x22002111, 0x22012112, 0x22012211, 0x22022111, 0x20002020, 0x20002022, 0x20002220, 0x20002222, + 0x20012121, 0x20022020, 0x20022022, 0x20022220, 0x20022222, 0x21002121, 0x21012021, 0x21012120, + 0x21012122, 0x22002020, 0x22002022, 0x22002220, 0x22002222, 0x22012121, 0x22022020, 0x22022022, + 0x22022220, 0x22022222, 0x20100101, 0x20110001, 0x20110102, 0x20110200, 0x20110201, 0x20120101, + 0x21100001, 0x21100102, 0x21100201, 0x21110101, 0x21110200, 0x21110202, 0x21120201, 0x21120202, + 0x22100101, 0x22110001, 0x22110100, 0x22110102, 0x22110201, 0x22120101, 0x20100011, 0x20100110, + 0x20100112, 0x20100211, 0x20110010, 0x20110111, 0x20110210, 0x20110212, 0x20120011, 0x20120110, + 0x20120112, 0x20120211, 0x21100010, 0x21100111, 0x21110010, 0x21110011, 0x21110110, 0x21110111, + 0x21110112, 0x21110211, 0x21120012, 0x21120111, 0x22100110, 0x22100112, 0x22110012, 0x22110111, + 0x22110210, 0x22120011, 0x22120110, 0x22120112, 0x22120211, 0x20100121, 0x20110021, 0x20110120, + 0x20110221, 0x20120121, 0x21100120, 0x21100122, 0x21100221, 0x21110020, 0x21110022, 0x21110121, + 0x21110220, 0x21120122, 0x21120221, 0x22100121, 0x22110120, 0x22110122, 0x22120221, 0x20101001, + 0x20101100, 0x20101102, 0x20111000, 0x20111101, 0x20111200, 0x20121102, 0x21101000, 0x21101202, + 0x21111001, 0x21111100, 0x21111101, 0x21111102, 0x21111200, 0x21111201, 0x21121000, 0x21121001, + 0x21121002, 0x21121101, 0x22101100, 0x22101102, 0x22111002, 0x22111100, 0x22111101, 0x22111200, + 0x22121001, 0x22121201, 0x20101010, 0x20101111, 0x20101210, 0x20101212, 0x20111010, 0x20111011, + 0x20111110, 0x20111111, 0x20111112, 0x20111211, 0x20121011, 0x20121111, 0x20121211, 0x20121212, + 0x21101011, 0x21101110, 0x21101111, 0x21101112, 0x21101211, 0x21111010, 0x21111011, 0x21111012, + 0x21111110, 0x21111111, 0x21111112, 0x21111210, 0x21111211, 0x21111212, 0x21121011, 0x21121110, + 0x21121111, 0x21121112, 0x21121211, 0x22101011, 0x22101111, 0x22101210, 0x22111011, 0x22111012, + 0x22111110, 0x22111111, 0x22111112, 0x22111211, 0x22111212, 0x22121010, 0x22121012, 0x22121111, + 0x22121210, 0x22121212, 0x20101021, 0x20101120, 0x20111020, 0x20111121, 0x20111221, 0x20121020, + 0x20121122, 0x20121221, 0x21101121, 0x21101220, 0x21101221, 0x21111021, 0x21111022, 0x21111121, + 0x21111122, 0x21111221, 0x21121121, 0x21121220, 0x22101022, 0x22101120, 0x22101221, 0x22101222, + 0x22111022, 0x22111120, 0x22111121, 0x22121120, 0x22121122, 0x22121221, 0x20102101, 0x20112102, + 0x20112201, 0x20122101, 0x21102001, 0x21102102, 0x21112000, 0x21112002, 0x21112101, 0x21112102, + 0x21112202, 0x21122100, 0x21122101, 0x22102101, 0x22112001, 0x22112102, 0x22112201, 0x22122101, + 0x20102110, 0x20102112, 0x20102211, 0x20112010, 0x20112012, 0x20112111, 0x20112210, 0x20112212, + 0x20122010, 0x20122011, 0x20122110, 0x20122112, 0x21102010, 0x21102012, 0x21102111, 0x21102210, + 0x21102212, 0x21112011, 0x21112110, 0x21112111, 0x21112112, 0x21112211, 0x21122012, 0x21122111, + 0x21122112, 0x21122212, 0x22102011, 0x22102110, 0x22112010, 0x22112012, 0x22112111, 0x22112212, + 0x22122011, 0x22122112, 0x20102121, 0x20112121, 0x20122121, 0x21102120, 0x21102122, 0x21102221, + 0x21112020, 0x21112121, 0x21112220, 0x21122021, 0x22102121, 0x22112021, 0x22112120, 0x22112121, + 0x22112122, 0x20200000, 0x20200002, 0x20200200, 0x20200202, 0x20210101, 0x20220000, 0x20220002, + 0x20220200, 0x20220202, 0x21200101, 0x21210001, 0x21210100, 0x21210102, 0x21210201, 0x22200000, + 0x22200002, 0x22200200, 0x22200202, 0x22210101, 0x22220000, 0x22220002, 0x22220200, 0x22220202, + 0x20200111, 0x20200211, 0x20210011, 0x20210110, 0x20210112, 0x20210211, 0x20210212, 0x21200112, + 0x21200211, 0x21210011, 0x21210111, 0x21210210, 0x21210212, 0x21220011, 0x21220110, 0x22200111, + 0x22210010, 0x22210012, 0x22210112, 0x22210211, 0x20200022, 0x20200220, 0x20200222, 0x20210020, + 0x20210221, 0x20220022, 0x20220220, 0x20220222, 0x21200121, 0x21210021, 0x21210122, 0x21210221, + 0x21220121, 0x22200020, 0x22200022, 0x22200220, 0x22200222, 0x22210121, 0x22220020, 0x22220022, + 0x22220220, 0x22220222, 0x20211201, 0x20221101, 0x21201001, 0x21201100, 0x21211000, 0x21211100, + 0x21211101, 0x21211200, 0x21211202, 0x21221001, 0x21221101, 0x21221102, 0x21221200, 0x21221201, + 0x22201101, 0x20201112, 0x20201211, 0x20211010, 0x20211012, 0x20211111, 0x20211210, 0x20221112, + 0x20221211, 0x21201012, 0x21201111, 0x21211011, 0x21211110, 0x21211111, 0x21211112, 0x21211211, + 0x21221111, 0x21221212, 0x22201011, 0x22201110, 0x22201111, 0x22201112, 0x22201211, 0x22211012, + 0x22211111, 0x22211210, 0x20201121, 0x20211021, 0x20211122, 0x20211222, 0x20221021, 0x20221121, + 0x21201120, 0x21201122, 0x21201222, 0x21211022, 0x21211121, 0x21211122, 0x21211220, 0x21221020, + 0x21221022, 0x22201122, 0x22211020, 0x22211121, 0x22211122, 0x22211221, 0x22221021, 0x22221120, + 0x22221122, 0x20202000, 0x20202002, 0x20202200, 0x20202202, 0x20222000, 0x20222002, 0x20222200, + 0x20222202, 0x21212001, 0x21212100, 0x21212102, 0x21212201, 0x22202000, 0x22202002, 0x22202200, + 0x22202202, 0x22212101, 0x22222000, 0x22222002, 0x22222200, 0x22222202, 0x20202111, 0x20212110, + 0x20212211, 0x20222011, 0x20222111, 0x21202011, 0x21212010, 0x21212111, 0x21212212, 0x21222011, + 0x21222112, 0x21222211, 0x22212010, 0x22212112, 0x20202020, 0x20202022, 0x20202220, 0x20202222, + 0x20222020, 0x20222022, 0x20222220, 0x20222222, 0x21212021, 0x21212120, 0x21212122, 0x22202020, + 0x22202022, 0x22202220, 0x22202222, 0x22212121, 0x22222020, 0x22222022, 0x22222220, 0x22222222, +LM_GGML_TABLE_END() +#endif + +#endif // LM_GGML_COMMON_IMPL +#endif // LM_GGML_COMMON_IMPL +#ifndef LM_GGML_METAL_IMPL +#define LM_GGML_METAL_IMPL + +// kernel parameters for mat-vec threadgroups +// +// N_R0: number of src0 rows to process per simdgroup +// N_SG: number of simdgroups per threadgroup +// +// TODO: for optimal performance, become function of the device and work size + +#define N_R0_Q4_0 4 +#define N_SG_Q4_0 2 + +#define N_R0_Q4_1 4 +#define N_SG_Q4_1 2 + +#define N_R0_Q5_0 4 +#define N_SG_Q5_0 2 + +#define N_R0_Q5_1 4 +#define N_SG_Q5_1 2 + +#define N_R0_Q8_0 2 +#define N_SG_Q8_0 4 + +#define N_R0_MXFP4 2 +#define N_SG_MXFP4 2 + +#define N_R0_Q2_K 4 +#define N_SG_Q2_K 2 + +#define N_R0_Q3_K 2 +#define N_SG_Q3_K 2 + +#define N_R0_Q4_K 2 +#define N_SG_Q4_K 2 + +#define N_R0_Q5_K 2 +#define N_SG_Q5_K 2 + +#define N_R0_Q6_K 2 +#define N_SG_Q6_K 2 + +#define N_R0_IQ1_S 4 +#define N_SG_IQ1_S 2 + +#define N_R0_IQ1_M 4 +#define N_SG_IQ1_M 2 + +#define N_R0_IQ2_XXS 4 +#define N_SG_IQ2_XXS 2 + +#define N_R0_IQ2_XS 4 +#define N_SG_IQ2_XS 2 + +#define N_R0_IQ2_S 4 +#define N_SG_IQ2_S 2 + +#define N_R0_IQ3_XXS 4 +#define N_SG_IQ3_XXS 2 + +#define N_R0_IQ3_S 4 +#define N_SG_IQ3_S 2 + +#define N_R0_IQ4_NL 2 +#define N_SG_IQ4_NL 2 + +#define N_R0_IQ4_XS 2 +#define N_SG_IQ4_XS 2 + +// function constants offsets +#define FC_FLASH_ATTN_EXT_PAD 100 +#define FC_FLASH_ATTN_EXT_BLK 200 +#define FC_FLASH_ATTN_EXT 300 +#define FC_FLASH_ATTN_EXT_VEC 400 +#define FC_FLASH_ATTN_EXT_VEC_REDUCE 500 +#define FC_MUL_MV 600 +#define FC_MUL_MM 700 +#define FC_ROPE 800 + +// op-specific constants +#define OP_FLASH_ATTN_EXT_NQPTG 8 +#define OP_FLASH_ATTN_EXT_NCPSG 64 + +#define OP_FLASH_ATTN_EXT_VEC_NQPTG 1 +#define OP_FLASH_ATTN_EXT_VEC_NCPSG 32 + +// kernel argument structs +// +// - element counters (e.g. ne00) typically use int32_t to reduce register usage +// however, be careful from int overflows when using those in the kernel implementation +// +// - strides (e.g. nb00) use uint64_t + +typedef struct { + int32_t ne00; + int32_t ne01; + int32_t ne02; + int32_t ne03; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t ne10; + int32_t ne11; + int32_t ne12; + int32_t ne13; + uint64_t nb10; + uint64_t nb11; + uint64_t nb12; + uint64_t nb13; + int32_t ne0; + int32_t ne1; + int32_t ne2; + int32_t ne3; + uint64_t nb0; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; + int32_t dim; +} lm_ggml_metal_kargs_concat; + +typedef struct { + int32_t ne00; + int32_t ne01; + int32_t ne02; + int32_t ne03; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t ne10; + int32_t ne11; + int32_t ne12; + int32_t ne13; + uint64_t nb10; + uint64_t nb11; + uint64_t nb12; + uint64_t nb13; + int32_t ne0; + int32_t ne1; + int32_t ne2; + int32_t ne3; + uint64_t nb0; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; + uint64_t offs; + uint64_t o1[8]; +} lm_ggml_metal_kargs_bin; + +typedef struct { + int64_t ne0; + int64_t ne1; + size_t nb01; + size_t nb02; + size_t nb11; + size_t nb21; +} lm_ggml_metal_kargs_add_id; + +typedef struct { + int32_t ne00; + int32_t ne01; + int32_t ne02; + int32_t ne03; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t ne0; + int32_t ne1; + int32_t ne2; + int32_t ne3; + uint64_t nb0; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; +} lm_ggml_metal_kargs_repeat; + +typedef struct { + float scale; + float bias; +} lm_ggml_metal_kargs_scale; + +typedef struct { + float min; + float max; +} lm_ggml_metal_kargs_clamp; + +typedef struct { + int64_t nk0; + int64_t ne00; + int64_t ne01; + int64_t ne02; + int64_t ne03; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int64_t ne0; + int64_t ne1; + int64_t ne2; + int64_t ne3; + uint64_t nb0; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; +} lm_ggml_metal_kargs_cpy; + +typedef struct { + int64_t ne10; + int64_t ne11; + int64_t ne12; + uint64_t nb10; + uint64_t nb11; + uint64_t nb12; + uint64_t nb13; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; + uint64_t offs; + bool inplace; +} lm_ggml_metal_kargs_set; + +typedef struct { + int32_t ne00; + int32_t ne01; + int32_t ne02; + int32_t ne03; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t ne0; + int32_t ne1; + int32_t ne2; + int32_t ne3; + uint64_t nb0; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; + int32_t n_past; + int32_t n_dims; + int32_t n_ctx_orig; + float freq_base; + float freq_scale; + float ext_factor; + float attn_factor; + float beta_fast; + float beta_slow; + int32_t sect_0; + int32_t sect_1; + int32_t sect_2; + int32_t sect_3; + bool src2; +} lm_ggml_metal_kargs_rope; + +typedef struct { + int32_t ne11; + int32_t ne_12_2; // assume K and V are same shape + int32_t ne_12_3; + uint64_t nb11; + uint64_t nb12; + uint64_t nb13; + uint64_t nb21; + uint64_t nb22; + uint64_t nb23; + int32_t ne31; + int32_t ne32; + int32_t ne33; + uint64_t nb31; + uint64_t nb32; + uint64_t nb33; +} lm_ggml_metal_kargs_flash_attn_ext_pad; + +typedef struct { + int32_t ne01; + int32_t ne30; + int32_t ne31; + int32_t ne32; + int32_t ne33; + uint64_t nb31; + uint64_t nb32; + uint64_t nb33; +} lm_ggml_metal_kargs_flash_attn_ext_blk; + +typedef struct { + int32_t ne01; + int32_t ne02; + int32_t ne03; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t ne11; + int32_t ne_12_2; // assume K and V are same shape + int32_t ne_12_3; + int32_t ns10; + uint64_t nb11; + uint64_t nb12; + uint64_t nb13; + int32_t ns20; + uint64_t nb21; + uint64_t nb22; + uint64_t nb23; + int32_t ne31; + int32_t ne32; + int32_t ne33; + uint64_t nb31; + uint64_t nb32; + uint64_t nb33; + int32_t ne1; + int32_t ne2; + int32_t ne3; + float scale; + float max_bias; + float m0; + float m1; + int32_t n_head_log2; + float logit_softcap; +} lm_ggml_metal_kargs_flash_attn_ext; + +typedef struct { + int32_t ne01; + int32_t ne02; + int32_t ne03; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t ne11; + int32_t ne_12_2; // assume K and V are same shape + int32_t ne_12_3; + int32_t ns10; + uint64_t nb11; + uint64_t nb12; + uint64_t nb13; + int32_t ns20; + uint64_t nb21; + uint64_t nb22; + uint64_t nb23; + int32_t ne31; + int32_t ne32; + int32_t ne33; + uint64_t nb31; + uint64_t nb32; + uint64_t nb33; + int32_t ne1; + int32_t ne2; + int32_t ne3; + float scale; + float max_bias; + float m0; + float m1; + int32_t n_head_log2; + float logit_softcap; +} lm_ggml_metal_kargs_flash_attn_ext_vec; + +typedef struct { + int32_t nrows; +} lm_ggml_metal_kargs_flash_attn_ext_vec_reduce; + +typedef struct { + int32_t ne00; + int32_t ne02; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t ne12; + uint64_t nb10; + uint64_t nb11; + uint64_t nb12; + uint64_t nb13; + int32_t ne0; + int32_t ne1; + int16_t r2; + int16_t r3; +} lm_ggml_metal_kargs_mul_mm; + +typedef struct { + int32_t ne00; + int32_t ne01; + int32_t ne02; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t ne10; + int32_t ne11; + int32_t ne12; + uint64_t nb10; + uint64_t nb11; + uint64_t nb12; + uint64_t nb13; + int32_t ne0; + int32_t ne1; + int32_t nr0; + int16_t r2; + int16_t r3; +} lm_ggml_metal_kargs_mul_mv; + +typedef struct { + int32_t ne00; + int32_t ne01; + int32_t ne02; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t ne10; + int32_t ne11; + int32_t ne12; + uint64_t nb10; + uint64_t nb11; + uint64_t nb12; + uint64_t nb13; + int32_t ne0; + int32_t ne1; + int16_t r2; + int16_t r3; +} lm_ggml_metal_kargs_mul_mv_ext; + +typedef struct { + int32_t ne02; + int32_t ne10; + int32_t ne11; // n_expert_used (bcast) + uint64_t nb11; + uint64_t nb12; + int32_t ne21; // n_tokens + int32_t ne20; // n_expert_used + uint64_t nb21; +} lm_ggml_metal_kargs_mul_mm_id_map0; + +typedef struct { + int32_t ne00; + int32_t ne02; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t ne11; + uint64_t nb10; + uint64_t nb11; + uint64_t nb12; + uint64_t nb13; + int32_t ne20; + int32_t ne21; + int32_t ne0; + int32_t ne1; + int16_t r2; + int16_t r3; +} lm_ggml_metal_kargs_mul_mm_id; + +typedef struct { + int32_t nei0; + int32_t nei1; + uint64_t nbi1; + int32_t ne00; + int32_t ne01; + int32_t ne02; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + int32_t ne10; + int32_t ne11; + int32_t ne12; + int32_t ne13; + uint64_t nb10; + uint64_t nb11; + uint64_t nb12; + int32_t ne0; + int32_t ne1; + uint64_t nb1; + int32_t nr0; +} lm_ggml_metal_kargs_mul_mv_id; + +// NORM +// RMS_NORM +typedef struct { + int32_t ne00; + int32_t ne00_t; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; + float eps; + int32_t nef1[3]; + int32_t nef2[3]; + int32_t nef3[3]; + uint64_t nbf1[3]; + uint64_t nbf2[3]; + uint64_t nbf3[3]; +} lm_ggml_metal_kargs_norm; + +typedef struct { + int32_t ne00; + int32_t ne00_4; + uint64_t nb01; + float eps; +} lm_ggml_metal_kargs_l2_norm; + +typedef struct { + int64_t ne00; + int64_t ne01; + int64_t ne02; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + int32_t ngrp; + float eps; +} lm_ggml_metal_kargs_group_norm; + +typedef struct { + int32_t IC; + int32_t IL; + int32_t K; + int32_t s0; + uint64_t nb0; + uint64_t nb1; +} lm_ggml_metal_kargs_conv_transpose_1d; + +typedef struct { + int32_t IC; + int32_t IH; + int32_t IW; + int32_t KH; + int32_t KW; + int32_t OC; + int32_t s0; + uint64_t nb0; + uint64_t nb1; + uint64_t nb2; +} lm_ggml_metal_kargs_conv_transpose_2d; + +typedef struct { + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + uint64_t nb10; + uint64_t nb11; + uint64_t nb12; + uint64_t nb13; + uint64_t nb0; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; + int32_t IW; + int32_t IH; + int32_t KW; + int32_t KH; + int32_t IC; + int32_t OC; + int32_t OW; + int32_t OH; + int32_t N; + int32_t s0; + int32_t s1; + int32_t p0; + int32_t p1; + int32_t d0; + int32_t d1; +} lm_ggml_metal_kargs_conv_2d; + +typedef struct { + uint64_t ofs0; + uint64_t ofs1; + int32_t IW; + int32_t IH; + int32_t CHW; + int32_t s0; + int32_t s1; + int32_t p0; + int32_t p1; + int32_t d0; + int32_t d1; + int32_t N; + int32_t KH; + int32_t KW; + int32_t KHW; // KH * KW, pre-computed on CPU to save GPU resources +} lm_ggml_metal_kargs_im2col; + +typedef struct{ + int32_t ne00; + uint64_t nb01; + int32_t ne10; + uint64_t nb11; + int32_t ne0; + uint64_t nb1; + int32_t i00; + int32_t i10; + float alpha; + float limit; +} lm_ggml_metal_kargs_glu; + +typedef struct { + uint64_t np; +} lm_ggml_metal_kargs_sum; + +typedef struct { + int64_t ne00; + int64_t ne01; + int64_t ne02; + int64_t ne03; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int64_t ne0; + int64_t ne1; + int64_t ne2; + int64_t ne3; + uint64_t nb0; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; +} lm_ggml_metal_kargs_sum_rows; + +typedef struct { + int64_t ne00; + int64_t ne01; + int64_t ne02; + int64_t ne03; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int64_t net0; + int64_t net1; + int64_t net2; + int64_t net3; + uint64_t nbt0; + uint64_t nbt1; + uint64_t nbt2; + uint64_t nbt3; + bool outb; +} lm_ggml_metal_kargs_cumsum_blk; + +typedef struct { + int64_t ne00; + int64_t ne01; + int64_t ne02; + int64_t ne03; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int64_t net0; + int64_t net1; + int64_t net2; + int64_t net3; + uint64_t nbt0; + uint64_t nbt1; + uint64_t nbt2; + uint64_t nbt3; +} lm_ggml_metal_kargs_cumsum_add; + +typedef struct { + int32_t ne00; + int32_t ne01; + int32_t ne02; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t ne11; + int32_t ne12; + int32_t ne13; + uint64_t nb11; + uint64_t nb12; + uint64_t nb13; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; + float scale; + float max_bias; + float m0; + float m1; + int32_t n_head_log2; +} lm_ggml_metal_kargs_soft_max; + +typedef struct { + int64_t ne00; + int64_t ne01; + int64_t ne02; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + int64_t ne10; + int64_t ne11; + uint64_t nb10; + uint64_t nb11; + int64_t ne0; + int64_t ne1; + int64_t ne2; + uint64_t nb0; + uint64_t nb1; + uint64_t nb2; +} lm_ggml_metal_kargs_ssm_conv; + +typedef struct { + int64_t d_state; + int64_t d_inner; + int64_t n_head; + int64_t n_group; + int64_t n_seq_tokens; + int64_t n_seqs; + uint64_t s_off; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + uint64_t nb10; + uint64_t nb11; + uint64_t nb12; + uint64_t ns12; + uint64_t nb13; + uint64_t nb20; + uint64_t nb21; + uint64_t ns21; + uint64_t nb22; + int64_t ne30; + uint64_t nb31; + uint64_t nb41; + uint64_t nb42; + uint64_t ns42; + uint64_t nb43; + uint64_t nb51; + uint64_t nb52; + uint64_t ns52; + uint64_t nb53; + uint64_t nb0; +} lm_ggml_metal_kargs_ssm_scan; + +typedef struct { + int32_t ne00t; + int32_t ne00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t ne10; + uint64_t nb10; + uint64_t nb11; + uint64_t nb12; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; +} lm_ggml_metal_kargs_get_rows; + +typedef struct { + int32_t nk0; + int32_t ne01; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t ne11; + int32_t ne12; + uint64_t nb10; + uint64_t nb11; + uint64_t nb12; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; +} lm_ggml_metal_kargs_set_rows; + +typedef struct { + int64_t ne00; + int64_t ne01; + int64_t ne02; + int64_t ne03; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int64_t ne0; + int64_t ne1; + int64_t ne2; + int64_t ne3; + uint64_t nb0; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; + float sf0; + float sf1; + float sf2; + float sf3; +} lm_ggml_metal_kargs_upscale; + +typedef struct { + int64_t ne00; + int64_t ne01; + int64_t ne02; + int64_t ne03; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int64_t ne0; + int64_t ne1; + int64_t ne2; + int64_t ne3; + uint64_t nb0; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; +} lm_ggml_metal_kargs_pad; + +typedef struct { + int64_t ne00; + int64_t ne01; + int64_t ne02; + int64_t ne03; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int64_t ne0; + int64_t ne1; + int64_t ne2; + int64_t ne3; + uint64_t nb0; + uint64_t nb1; + uint64_t nb2; + uint64_t nb3; + int32_t p0; + int32_t p1; +} lm_ggml_metal_kargs_pad_reflect_1d; + +typedef struct { + uint64_t nb1; + int dim; + int max_period; +} lm_ggml_metal_kargs_timestep_embedding; + +typedef struct { + float slope; +} lm_ggml_metal_kargs_leaky_relu; + +typedef struct { + int64_t ne00; + int64_t ne01; + int64_t ne02; + int64_t ne03; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; +} lm_ggml_metal_kargs_argsort; + +typedef struct { + int64_t ne00; + int64_t ne01; + int64_t ne02; + int64_t ne03; + uint64_t nb00; + uint64_t nb01; + uint64_t nb02; + uint64_t nb03; + int32_t len; +} lm_ggml_metal_kargs_argsort_merge; + +typedef struct { + int64_t ne0; + float start; + float step; +} lm_ggml_metal_kargs_arange; + +typedef struct { + int32_t k0; + int32_t k1; + int32_t s0; + int32_t s1; + int32_t p0; + int32_t p1; + int64_t IH; + int64_t IW; + int64_t OH; + int64_t OW; + int64_t np; +} lm_ggml_metal_kargs_pool_2d; + +typedef struct { + int64_t ne00; + uint64_t nb01; +} lm_ggml_metal_kargs_argmax; + +typedef struct { + int64_t np; +} lm_ggml_metal_kargs_opt_step_adamw; + +typedef struct { + int64_t np; +} lm_ggml_metal_kargs_opt_step_sgd; + +#endif // LM_GGML_METAL_IMPL + +#include + +#ifdef LM_GGML_METAL_HAS_TENSOR +#include + +#include +#endif + +using namespace metal; + +#define MAX(x, y) ((x) > (y) ? (x) : (y)) +#define MIN(x, y) ((x) < (y) ? (x) : (y)) +#define SWAP(x, y) { auto tmp = (x); (x) = (y); (y) = tmp; } + +#define PAD2(x, n) (((x) + (n) - 1) & ~((n) - 1)) + +#define FOR_UNROLL(x) _Pragma("clang loop unroll(full)") for (x) + +#define N_SIMDWIDTH 32 // assuming SIMD group size is 32 + +// ref: https://developer.apple.com/metal/Metal-Shading-Language-Specification.pdf +// +// cmd: +// .../usr/bin/metal -dM -E -c ggml/src/ggml-metal/ggml-metal.metal +// .../usr/bin/metal -dM -E -c -target air64-apple-ios14.0 ggml/src/ggml-metal/ggml-metal.metal +// +#if __METAL_VERSION__ < 310 && defined(LM_GGML_METAL_HAS_BF16) +#undef LM_GGML_METAL_HAS_BF16 +#endif + +#if defined(LM_GGML_METAL_HAS_BF16) +typedef matrix bfloat4x4; +typedef matrix bfloat2x4; +#endif + +constexpr constant static float kvalues_iq4nl_f[16] = { + -127.f, -104.f, -83.f, -65.f, -49.f, -35.f, -22.f, -10.f, 1.f, 13.f, 25.f, 38.f, 53.f, 69.f, 89.f, 113.f +}; + +constexpr constant static float kvalues_mxfp4_f[16] = { + 0, .5f, 1.f, 1.5f, 2.f, 3.f, 4.f, 6.f, -0, -.5f, -1.f, -1.5f, -2.f, -3.f, -4.f, -6.f +}; + +static inline int best_index_int8(int n, constant float * val, float x) { + if (x <= val[0]) return 0; + if (x >= val[n-1]) return n-1; + int ml = 0, mu = n-1; + while (mu-ml > 1) { + int mav = (ml+mu)/2; + if (x < val[mav]) mu = mav; else ml = mav; + } + return x - val[mu-1] < val[mu] - x ? mu-1 : mu; +} + +static inline float e8m0_to_fp32(uint8_t x) { + uint32_t bits; + + if (x == 0) { + bits = 0x00400000; + } else { + bits = (uint32_t) x << 23; + } + + return as_type(bits); +} + +static inline float dot(float x, float y) { + return x*y; +} + +// NOTE: this is not dequantizing - we are simply fitting the template +template +void dequantize_f32(device const float4x4 * src, short il, thread type4x4 & reg) { + reg = (type4x4)(*src); +} + +template +void dequantize_f32_t4(device const float4 * src, short il, thread type4 & reg) { + reg = (type4)(*src); +} + +template +void dequantize_f16(device const half4x4 * src, short il, thread type4x4 & reg) { + reg = (type4x4)(*src); +} + +template +void dequantize_f16_t4(device const half4 * src, short il, thread type4 & reg) { + reg = (type4)(*(src)); +} + +#if defined(LM_GGML_METAL_HAS_BF16) +template +void dequantize_bf16(device const bfloat4x4 * src, short il, thread type4x4 & reg) { + reg = (type4x4)(*src); +} + +template +void dequantize_bf16_t4(device const bfloat4 * src, short il, thread type4 & reg) { + reg = (type4)(*(src)); +} +#endif + +template +void dequantize_q4_0(device const block_q4_0 * xb, short il, thread type4x4 & reg) { + device const uint16_t * qs = ((device const uint16_t *)xb + 1); + const float d1 = il ? (xb->d / 16.h) : xb->d; + const float d2 = d1 / 256.f; + const float md = -8.h * xb->d; + const ushort mask0 = il ? 0x00F0 : 0x000F; + const ushort mask1 = mask0 << 8; + + float4x4 reg_f; + + for (int i = 0; i < 8; i++) { + reg_f[i/2][2*(i%2) + 0] = d1 * (qs[i] & mask0) + md; + reg_f[i/2][2*(i%2) + 1] = d2 * (qs[i] & mask1) + md; + } + + reg = (type4x4) reg_f; +} + +template +void dequantize_q4_0_t4(device const block_q4_0 * xb, short il, thread type4 & reg) { + device const uint16_t * qs = ((device const uint16_t *)xb + 1); + const float d1 = (il/4) ? (xb->d / 16.h) : xb->d; + const float d2 = d1 / 256.f; + const float md = -8.h * xb->d; + const ushort mask0 = (il/4) ? 0x00F0 : 0x000F; + const ushort mask1 = mask0 << 8; + + for (int i = 0; i < 2; i++) { + reg[2*i + 0] = d1 * (qs[2*(il%4) + i] & mask0) + md; + reg[2*i + 1] = d2 * (qs[2*(il%4) + i] & mask1) + md; + } +} + +void quantize_q4_0(device const float * src, device block_q4_0 & dst) { +#pragma METAL fp math_mode(safe) + float amax = 0.0f; // absolute max + float max = 0.0f; + + for (int j = 0; j < QK4_0; j++) { + const float v = src[j]; + if (amax < fabs(v)) { + amax = fabs(v); + max = v; + } + } + + const float d = max / -8; + const float id = d ? 1.0f/d : 0.0f; + + dst.d = d; + + for (int j = 0; j < QK4_0/2; ++j) { + const float x0 = src[0 + j]*id; + const float x1 = src[QK4_0/2 + j]*id; + + const uint8_t xi0 = MIN(15, (int8_t)(x0 + 8.5f)); + const uint8_t xi1 = MIN(15, (int8_t)(x1 + 8.5f)); + + dst.qs[j] = xi0; + dst.qs[j] |= xi1 << 4; + } +} + +void quantize_q4_1(device const float * src, device block_q4_1 & dst) { +#pragma METAL fp math_mode(safe) + float min = FLT_MAX; + float max = -FLT_MAX; + + for (int j = 0; j < QK4_1; j++) { + const float v = src[j]; + if (min > v) min = v; + if (max < v) max = v; + } + + const float d = (max - min) / ((1 << 4) - 1); + const float id = d ? 1.0f/d : 0.0f; + + dst.d = d; + dst.m = min; + + for (int j = 0; j < QK4_1/2; ++j) { + const float x0 = (src[0 + j] - min)*id; + const float x1 = (src[QK4_1/2 + j] - min)*id; + + const uint8_t xi0 = MIN(15, (int8_t)(x0 + 0.5f)); + const uint8_t xi1 = MIN(15, (int8_t)(x1 + 0.5f)); + + dst.qs[j] = xi0; + dst.qs[j] |= xi1 << 4; + } +} + +void quantize_q5_0(device const float * src, device block_q5_0 & dst) { +#pragma METAL fp math_mode(safe) + float amax = 0.0f; // absolute max + float max = 0.0f; + + for (int j = 0; j < QK5_0; j++) { + const float v = src[j]; + if (amax < fabs(v)) { + amax = fabs(v); + max = v; + } + } + + const float d = max / -16; + const float id = d ? 1.0f/d : 0.0f; + + dst.d = d; + + uint32_t qh = 0; + for (int j = 0; j < QK5_0/2; ++j) { + const float x0 = src[0 + j]*id; + const float x1 = src[QK5_0/2 + j]*id; + + const uint8_t xi0 = MIN(31, (int8_t)(x0 + 16.5f)); + const uint8_t xi1 = MIN(31, (int8_t)(x1 + 16.5f)); + + dst.qs[j] = (xi0 & 0xf) | ((xi1 & 0xf) << 4); + qh |= ((xi0 & 0x10u) >> 4) << (j + 0); + qh |= ((xi1 & 0x10u) >> 4) << (j + QK5_0/2); + } + + thread const uint8_t * qh8 = (thread const uint8_t *)&qh; + + for (int j = 0; j < 4; ++j) { + dst.qh[j] = qh8[j]; + } +} + +void quantize_q5_1(device const float * src, device block_q5_1 & dst) { +#pragma METAL fp math_mode(safe) + float max = src[0]; + float min = src[0]; + + for (int j = 1; j < QK5_1; j++) { + const float v = src[j]; + min = v < min ? v : min; + max = v > max ? v : max; + } + + const float d = (max - min) / 31; + const float id = d ? 1.0f/d : 0.0f; + + dst.d = d; + dst.m = min; + + uint32_t qh = 0; + for (int j = 0; j < QK5_1/2; ++j) { + const float x0 = (src[0 + j] - min)*id; + const float x1 = (src[QK5_1/2 + j] - min)*id; + + const uint8_t xi0 = (uint8_t)(x0 + 0.5f); + const uint8_t xi1 = (uint8_t)(x1 + 0.5f); + + dst.qs[j] = (xi0 & 0xf) | ((xi1 & 0xf) << 4); + qh |= ((xi0 & 0x10u) >> 4) << (j + 0); + qh |= ((xi1 & 0x10u) >> 4) << (j + QK5_1/2); + } + + thread const uint8_t * qh8 = (thread const uint8_t *)&qh; + + for (int j = 0; j < 4; ++j) { + dst.qh[j] = qh8[j]; + } +} + +void quantize_q8_0(device const float * src, device block_q8_0 & dst) { +#pragma METAL fp math_mode(safe) + float amax = 0.0f; // absolute max + + for (int j = 0; j < QK8_0; j++) { + const float v = src[j]; + amax = MAX(amax, fabs(v)); + } + + const float d = amax / ((1 << 7) - 1); + const float id = d ? 1.0f/d : 0.0f; + + dst.d = d; + + for (int j = 0; j < QK8_0; ++j) { + const float x0 = src[j]*id; + + dst.qs[j] = round(x0); + } +} + +void quantize_iq4_nl(device const float * src, device block_iq4_nl & dst) { +#pragma METAL fp math_mode(safe) + float amax = 0.0f; // absolute max + float max = 0.0f; + + for (int j = 0; j < QK4_NL; j++) { + const float v = src[j]; + if (amax < fabs(v)) { + amax = fabs(v); + max = v; + } + } + + const float d = max / kvalues_iq4nl_f[0]; + const float id = d ? 1.0f/d : 0.0f; + + float sumqx = 0, sumq2 = 0; + for (int j = 0; j < QK4_NL/2; ++j) { + const float x0 = src[0 + j]*id; + const float x1 = src[QK4_NL/2 + j]*id; + + const uint8_t xi0 = best_index_int8(16, kvalues_iq4nl_f, x0); + const uint8_t xi1 = best_index_int8(16, kvalues_iq4nl_f, x1); + + dst.qs[j] = xi0 | (xi1 << 4); + + const float v0 = kvalues_iq4nl_f[xi0]; + const float v1 = kvalues_iq4nl_f[xi1]; + const float w0 = src[0 + j]*src[0 + j]; + const float w1 = src[QK4_NL/2 + j]*src[QK4_NL/2 + j]; + sumqx += w0*v0*src[j] + w1*v1*src[QK4_NL/2 + j]; + sumq2 += w0*v0*v0 + w1*v1*v1; + + } + + dst.d = sumq2 > 0 ? sumqx/sumq2 : d; +} + +template +void dequantize_q4_1(device const block_q4_1 * xb, short il, thread type4x4 & reg) { + device const uint16_t * qs = ((device const uint16_t *)xb + 2); + const float d1 = il ? (xb->d / 16.h) : xb->d; + const float d2 = d1 / 256.f; + const float m = xb->m; + const ushort mask0 = il ? 0x00F0 : 0x000F; + const ushort mask1 = mask0 << 8; + + float4x4 reg_f; + + for (int i = 0; i < 8; i++) { + reg_f[i/2][2*(i%2) + 0] = ((qs[i] & mask0) * d1) + m; + reg_f[i/2][2*(i%2) + 1] = ((qs[i] & mask1) * d2) + m; + } + + reg = (type4x4) reg_f; +} + +template +void dequantize_q4_1_t4(device const block_q4_1 * xb, short il, thread type4 & reg) { + device const uint16_t * qs = ((device const uint16_t *)xb + 2); + const float d1 = (il/4) ? (xb->d / 16.h) : xb->d; + const float d2 = d1 / 256.f; + const float m = xb->m; + const ushort mask0 = (il/4) ? 0x00F0 : 0x000F; + const ushort mask1 = mask0 << 8; + + for (int i = 0; i < 2; i++) { + reg[2*i + 0] = d1 * (qs[2*(il%4) + i] & mask0) + m; + reg[2*i + 1] = d2 * (qs[2*(il%4) + i] & mask1) + m; + } +} + +template +void dequantize_q5_0(device const block_q5_0 * xb, short il, thread type4x4 & reg) { + device const uint16_t * qs = ((device const uint16_t *)xb + 3); + const float d = xb->d; + const float md = -16.h * xb->d; + const ushort mask = il ? 0x00F0 : 0x000F; + + const uint32_t qh = *((device const uint32_t *)xb->qh); + + const int x_mv = il ? 4 : 0; + + const int gh_mv = il ? 12 : 0; + const int gh_bk = il ? 0 : 4; + + float4x4 reg_f; + + for (int i = 0; i < 8; i++) { + // extract the 5-th bits for x0 and x1 + const uint8_t xh_0 = ((qh >> (gh_mv + 2*i )) << gh_bk) & 0x10; + const uint8_t xh_1 = ((qh >> (gh_mv + 2*i+1)) << gh_bk) & 0x10; + + // combine the 4-bits from qs with the 5th bit + const int32_t x0 = ((((qs[i] ) & mask) >> x_mv) | xh_0); + const int32_t x1 = ((((qs[i] >> 8) & mask) >> x_mv) | xh_1); + + reg_f[i/2][2*(i%2) + 0] = d * x0 + md; + reg_f[i/2][2*(i%2) + 1] = d * x1 + md; + } + + reg = (type4x4) reg_f; +} + +template +void dequantize_q5_0_t4(device const block_q5_0 * xb, short il, thread type4 & reg) { + device const uint16_t * qs = ((device const uint16_t *)xb + 3); + const float d = xb->d; + const float md = -16.h * xb->d; + const ushort mask = (il/4) ? 0x00F0 : 0x000F; + + const uint32_t qh = *((device const uint32_t *)xb->qh); + + const int x_mv = (il/4) ? 4 : 0; + + const int gh_mv = (il/4) ? 12 : 0; + const int gh_bk = (il/4) ? 0 : 4; + + for (int ii = 0; ii < 2; ii++) { + int i = 2*(il%4) + ii; + + // extract the 5-th bits for x0 and x1 + const uint8_t xh_0 = ((qh >> (gh_mv + 2*i )) << gh_bk) & 0x10; + const uint8_t xh_1 = ((qh >> (gh_mv + 2*i+1)) << gh_bk) & 0x10; + + // combine the 4-bits from qs with the 5th bit + const int32_t x0 = ((((qs[i] ) & mask) >> x_mv) | xh_0); + const int32_t x1 = ((((qs[i] >> 8) & mask) >> x_mv) | xh_1); + + reg[2*ii + 0] = d * x0 + md; + reg[2*ii + 1] = d * x1 + md; + } +} + +template +void dequantize_q5_1(device const block_q5_1 * xb, short il, thread type4x4 & reg) { + device const uint16_t * qs = ((device const uint16_t *)xb + 4); + const float d = xb->d; + const float m = xb->m; + const ushort mask = il ? 0x00F0 : 0x000F; + + const uint32_t qh = *((device const uint32_t *)xb->qh); + + const int x_mv = il ? 4 : 0; + + const int gh_mv = il ? 12 : 0; + const int gh_bk = il ? 0 : 4; + + float4x4 reg_f; + + for (int i = 0; i < 8; i++) { + // extract the 5-th bits for x0 and x1 + const uint8_t xh_0 = ((qh >> (gh_mv + 2*i )) << gh_bk) & 0x10; + const uint8_t xh_1 = ((qh >> (gh_mv + 2*i+1)) << gh_bk) & 0x10; + + // combine the 4-bits from qs with the 5th bit + const int32_t x0 = ((((qs[i] ) & mask) >> x_mv) | xh_0); + const int32_t x1 = ((((qs[i] >> 8) & mask) >> x_mv) | xh_1); + + reg_f[i/2][2*(i%2) + 0] = d * x0 + m; + reg_f[i/2][2*(i%2) + 1] = d * x1 + m; + } + + reg = (type4x4) reg_f; +} + +template +void dequantize_q5_1_t4(device const block_q5_1 * xb, short il, thread type4 & reg) { + device const uint16_t * qs = ((device const uint16_t *)xb + 4); + const float d = xb->d; + const float m = xb->m; + const ushort mask = (il/4) ? 0x00F0 : 0x000F; + + const uint32_t qh = *((device const uint32_t *)xb->qh); + + const int x_mv = (il/4) ? 4 : 0; + + const int gh_mv = (il/4) ? 12 : 0; + const int gh_bk = (il/4) ? 0 : 4; + + for (int ii = 0; ii < 2; ii++) { + int i = 2*(il%4) + ii; + + // extract the 5-th bits for x0 and x1 + const uint8_t xh_0 = ((qh >> (gh_mv + 2*i )) << gh_bk) & 0x10; + const uint8_t xh_1 = ((qh >> (gh_mv + 2*i+1)) << gh_bk) & 0x10; + + // combine the 4-bits from qs with the 5th bit + const int32_t x0 = ((((qs[i] ) & mask) >> x_mv) | xh_0); + const int32_t x1 = ((((qs[i] >> 8) & mask) >> x_mv) | xh_1); + + reg[2*ii + 0] = d * x0 + m; + reg[2*ii + 1] = d * x1 + m; + } +} + +template +void dequantize_q8_0(device const block_q8_0 *xb, short il, thread type4x4 & reg) { + device const int8_t * qs = ((device const int8_t *)xb->qs); + const float d = xb->d; + + float4x4 reg_f; + + for (int i = 0; i < 16; i++) { + reg_f[i/4][i%4] = (qs[i + 16*il] * d); + } + + reg = (type4x4) reg_f; +} + +template +void dequantize_q8_0_t4(device const block_q8_0 *xb, short il, thread type4 & reg) { + device const int8_t * qs = ((device const int8_t *)xb->qs); + const float d = xb->d; + + for (int i = 0; i < 4; i++) { + reg[i] = (qs[4*(il%4) + i + 16*(il/4)] * d); + } +} + +template +void dequantize_mxfp4(device const block_mxfp4 * xb, short il, thread type4x4 & reg) { + device const uint8_t * q2 = (device const uint8_t *)xb->qs; + + const float d = e8m0_to_fp32(xb->e); + const uint8_t shr = il >= 1 ? 4 : 0; + + for (int i = 0; i < 4; ++i) { + reg[i][0] = d * kvalues_mxfp4_f[(q2[4*i + 0] >> shr) & 0x0F]; + reg[i][1] = d * kvalues_mxfp4_f[(q2[4*i + 1] >> shr) & 0x0F]; + reg[i][2] = d * kvalues_mxfp4_f[(q2[4*i + 2] >> shr) & 0x0F]; + reg[i][3] = d * kvalues_mxfp4_f[(q2[4*i + 3] >> shr) & 0x0F]; + } +} + +template +void dequantize_mxfp4_t4(device const block_mxfp4 * xb, short il, thread type4 & reg) { + device const uint8_t * q2 = (device const uint8_t *)xb->qs; + + const float d = e8m0_to_fp32(xb->e); + const short il4 = il%4; + + const uint8_t shr = il >= 4 ? 4 : 0; + + reg[0] = d * kvalues_mxfp4_f[(q2[4*il4 + 0] >> shr) & 0x0F]; + reg[1] = d * kvalues_mxfp4_f[(q2[4*il4 + 1] >> shr) & 0x0F]; + reg[2] = d * kvalues_mxfp4_f[(q2[4*il4 + 2] >> shr) & 0x0F]; + reg[3] = d * kvalues_mxfp4_f[(q2[4*il4 + 3] >> shr) & 0x0F]; +} + +template +void dequantize_q2_K(device const block_q2_K *xb, short il, thread type4x4 & reg) { + const float d = xb->d; + const float min = xb->dmin; + device const uint8_t * q = (device const uint8_t *)xb->qs; + float dl, ml; + uint8_t sc = xb->scales[il]; + + q = q + 32*(il/8) + 16*(il&1); + il = (il/2)%4; + + half coef = il>1 ? (il>2 ? 1/64.h : 1/16.h) : (il>0 ? 1/4.h : 1.h); + uchar mask = il>1 ? (il>2 ? 192 : 48) : (il>0 ? 12 : 3); + dl = d * (sc & 0xF) * coef, ml = min * (sc >> 4); + for (int i = 0; i < 16; ++i) { + reg[i/4][i%4] = dl * (q[i] & mask) - ml; + } +} + +template +void dequantize_q3_K(device const block_q3_K *xb, short il, thread type4x4 & reg) { + const half d_all = xb->d; + device const uint8_t * q = (device const uint8_t *)xb->qs; + device const uint8_t * h = (device const uint8_t *)xb->hmask; + device const int8_t * scales = (device const int8_t *)xb->scales; + + q = q + 32 * (il/8) + 16 * (il&1); + h = h + 16 * (il&1); + uint8_t m = 1 << (il/2); + uint16_t kmask1 = (il/4)>1 ? ((il/4)>2 ? 192 : 48) : \ + ((il/4)>0 ? 12 : 3); + uint16_t kmask2 = il/8 ? 0xF0 : 0x0F; + uint16_t scale_2 = scales[il%8], scale_1 = scales[8 + il%4]; + int16_t dl_int = (il/4)&1 ? (scale_2&kmask2) | ((scale_1&kmask1) << 2) + : (scale_2&kmask2) | ((scale_1&kmask1) << 4); + float dl = il<8 ? d_all * (dl_int - 32.f) : d_all * (dl_int / 16.f - 32.f); + const float ml = 4.f * dl; + + il = (il/2) & 3; + const half coef = il>1 ? (il>2 ? 1/64.h : 1/16.h) : (il>0 ? 1/4.h : 1.h); + const uint8_t mask = il>1 ? (il>2 ? 192 : 48) : (il>0 ? 12 : 3); + dl *= coef; + + for (int i = 0; i < 16; ++i) { + reg[i/4][i%4] = dl * (q[i] & mask) - (h[i] & m ? 0 : ml); + } +} + +static inline uchar2 get_scale_min_k4_just2(int j, int k, device const uchar * q) { + return j < 4 ? uchar2{uchar(q[j+0+k] & 63), uchar(q[j+4+k] & 63)} + : uchar2{uchar((q[j+4+k] & 0xF) | ((q[j-4+k] & 0xc0) >> 2)), uchar((q[j+4+k] >> 4) | ((q[j-0+k] & 0xc0) >> 2))}; +} + +template +void dequantize_q4_K(device const block_q4_K * xb, short il, thread type4x4 & reg) { + device const uchar * q = xb->qs; + + short is = (il/4) * 2; + q = q + (il/4) * 32 + 16 * (il&1); + il = il & 3; + const uchar2 sc = get_scale_min_k4_just2(is, il/2, xb->scales); + const float d = il < 2 ? xb->d : xb->d / 16.h; + const float min = xb->dmin; + const float dl = d * sc[0]; + const float ml = min * sc[1]; + + const ushort mask = il < 2 ? 0x0F : 0xF0; + for (int i = 0; i < 16; ++i) { + reg[i/4][i%4] = dl * (q[i] & mask) - ml; + } +} + +template +void dequantize_q5_K(device const block_q5_K *xb, short il, thread type4x4 & reg) { + device const uint8_t * q = xb->qs; + device const uint8_t * qh = xb->qh; + + short is = (il/4) * 2; + q = q + 32 * (il/4) + 16 * (il&1); + qh = qh + 16 * (il&1); + uint8_t ul = 1 << (il/2); + il = il & 3; + const uchar2 sc = get_scale_min_k4_just2(is, il/2, xb->scales); + const float d = il < 2 ? xb->d : xb->d / 16.f; + const float min = xb->dmin; + const float dl = d * sc[0]; + const float ml = min * sc[1]; + + const ushort mask = il<2 ? 0x0F : 0xF0; + const float qh_val = il<2 ? 16.f : 256.f; + for (int i = 0; i < 16; ++i) { + reg[i/4][i%4] = dl * ((q[i] & mask) + (qh[i] & ul ? qh_val : 0)) - ml; + } +} + +template +void dequantize_q6_K(device const block_q6_K *xb, short il, thread type4x4 & reg) { + const half d_all = xb->d; + device const uint16_t * ql = (device const uint16_t *)xb->ql; + device const uint16_t * qh = (device const uint16_t *)xb->qh; + device const int8_t * scales = (device const int8_t *)xb->scales; + + ql = ql + 32*(il/8) + 16*((il/2)&1) + 8*(il&1); + qh = qh + 16*(il/8) + 8*(il&1); + float sc = scales[(il%2) + 2 * ((il/2))]; + il = (il/2) & 3; + + const uint32_t kmask1 = il>1 ? (il>2 ? 0xC0C0C0C0 : 0x30303030) : (il>0 ? 0x0C0C0C0C : 0x03030303); + const uint32_t kmask2 = il>1 ? 0xF0F0F0F0 : 0x0F0F0F0F; + const float ml = d_all * sc * 32.f; + const float dl0 = d_all * sc; + const float dl1 = dl0 / 256.f; + const float dl2 = dl0 / (256.f * 256.f); + const float dl3 = dl0 / (256.f * 256.f * 256.f); + const uint8_t shr_h = il>2 ? 2 : 0; + const uint8_t shl_h = il>1 ? 0 : (il>0 ? 2 : 4); + const uint8_t shr_l = il>1 ? 4 : 0; + for (int i = 0; i < 4; ++i) { + const uint32_t low = (ql[2*i] | (uint32_t)(ql[2*i+1] << 16)) & kmask2; + const uint32_t high = (qh[2*i] | (uint32_t)(qh[2*i+1] << 16)) & kmask1; + const uint32_t q = ((high << shl_h) >> shr_h) | (low >> shr_l); + reg[i][0] = dl0 * ((half)(q & 0xFF)) - ml; + reg[i][1] = dl1 * ((float)(q & 0xFF00)) - ml; + reg[i][2] = dl2 * ((float)(q & 0xFF0000)) - ml; + reg[i][3] = dl3 * ((float)(q & 0xFF000000)) - ml; + } +} + +template +void dequantize_iq2_xxs(device const block_iq2_xxs * xb, short il, thread type4x4 & reg) { + // il is 0...15 for QK_K = 256 => index of block of 32 is il/2 + const float d = xb->d; + const int ib32 = il/2; + il = il%2; + // il = 0 or 1. il = 0 processes the first 16 quants in a block of 32, il = 1 the second 16 + // each block of 32 needs 2 uint32_t's for the quants & scale, so 4 uint16_t's. + device const uint16_t * q2 = xb->qs + 4*ib32; + const uint32_t aux32_g = q2[0] | (q2[1] << 16); + const uint32_t aux32_s = q2[2] | (q2[3] << 16); + thread const uint8_t * aux8 = (thread const uint8_t *)&aux32_g; + const float dl = d * (0.5f + (aux32_s >> 28)) * 0.25f; + constant uint8_t * grid = (constant uint8_t *)(iq2xxs_grid + aux8[2*il+0]); + uint8_t signs = ksigns_iq2xs[(aux32_s >> 14*il) & 127]; + for (int i = 0; i < 8; ++i) { + reg[i/4][i%4] = dl * grid[i] * (signs & kmask_iq2xs[i] ? -1.f : 1.f); + } + grid = (constant uint8_t *)(iq2xxs_grid + aux8[2*il+1]); + signs = ksigns_iq2xs[(aux32_s >> (14*il+7)) & 127]; + for (int i = 0; i < 8; ++i) { + reg[2+i/4][i%4] = dl * grid[i] * (signs & kmask_iq2xs[i] ? -1.f : 1.f); + } +} + +template +void dequantize_iq2_xs(device const block_iq2_xs * xb, short il, thread type4x4 & reg) { + // il is 0...15 for QK_K = 256 => index of block of 32 is il/2 + const float d = xb->d; + const int ib32 = il/2; + il = il%2; + // il = 0 or 1. il = 0 processes the first 16 quants in a block of 32, il = 1 the second 16 + device const uint16_t * q2 = xb->qs + 4*ib32; + const float dl = d * (0.5f + ((xb->scales[ib32] >> 4*il) & 0xf)) * 0.25f; + constant uint8_t * grid = (constant uint8_t *)(iq2xs_grid + (q2[2*il+0] & 511)); + uint8_t signs = ksigns_iq2xs[q2[2*il+0] >> 9]; + for (int i = 0; i < 8; ++i) { + reg[i/4][i%4] = dl * grid[i] * (signs & kmask_iq2xs[i] ? -1.f : 1.f); + } + grid = (constant uint8_t *)(iq2xs_grid + (q2[2*il+1] & 511)); + signs = ksigns_iq2xs[q2[2*il+1] >> 9]; + for (int i = 0; i < 8; ++i) { + reg[2+i/4][i%4] = dl * grid[i] * (signs & kmask_iq2xs[i] ? -1.f : 1.f); + } +} + +template +void dequantize_iq3_xxs(device const block_iq3_xxs * xb, short il, thread type4x4 & reg) { + // il is 0...15 for QK_K = 256 => index of block of 32 is il/2 + const float d = xb->d; + const int ib32 = il/2; + il = il%2; + // il = 0 or 1. il = 0 processes the first 16 quants in a block of 32, il = 1 the second 16 + device const uint8_t * q3 = xb->qs + 8*ib32; + device const uint16_t * gas = (device const uint16_t *)(xb->qs + QK_K/4) + 2*ib32; + const uint32_t aux32 = gas[0] | (gas[1] << 16); + const float dl = d * (0.5f + (aux32 >> 28)) * 0.5f; + constant uint8_t * grid1 = (constant uint8_t *)(iq3xxs_grid + q3[4*il+0]); + constant uint8_t * grid2 = (constant uint8_t *)(iq3xxs_grid + q3[4*il+1]); + uint8_t signs = ksigns_iq2xs[(aux32 >> 14*il) & 127]; + for (int i = 0; i < 4; ++i) { + reg[0][i] = dl * grid1[i] * (signs & kmask_iq2xs[i+0] ? -1.f : 1.f); + reg[1][i] = dl * grid2[i] * (signs & kmask_iq2xs[i+4] ? -1.f : 1.f); + } + grid1 = (constant uint8_t *)(iq3xxs_grid + q3[4*il+2]); + grid2 = (constant uint8_t *)(iq3xxs_grid + q3[4*il+3]); + signs = ksigns_iq2xs[(aux32 >> (14*il+7)) & 127]; + for (int i = 0; i < 4; ++i) { + reg[2][i] = dl * grid1[i] * (signs & kmask_iq2xs[i+0] ? -1.f : 1.f); + reg[3][i] = dl * grid2[i] * (signs & kmask_iq2xs[i+4] ? -1.f : 1.f); + } +} + +template +void dequantize_iq3_s(device const block_iq3_s * xb, short il, thread type4x4 & reg) { + // il is 0...15 for QK_K = 256 => index of block of 32 is il/2 + const float d = xb->d; + const int ib32 = il/2; + il = il%2; + // il = 0 or 1. il = 0 processes the first 16 quants in a block of 32, il = 1 the second 16 + device const uint8_t * qs = xb->qs + 8*ib32; + device const uint8_t * signs = xb->signs + 4*ib32 + 2*il; + const uint8_t qh = xb->qh[ib32] >> 4*il; + const float dl = d * (1 + 2*((xb->scales[ib32/2] >> 4*(ib32%2)) & 0xf)); + constant uint8_t * grid1 = (constant uint8_t *)(iq3s_grid + (qs[4*il+0] | ((qh << 8) & 256))); + constant uint8_t * grid2 = (constant uint8_t *)(iq3s_grid + (qs[4*il+1] | ((qh << 7) & 256))); + for (int i = 0; i < 4; ++i) { + reg[0][i] = dl * grid1[i] * select(1, -1, signs[0] & kmask_iq2xs[i+0]); + reg[1][i] = dl * grid2[i] * select(1, -1, signs[0] & kmask_iq2xs[i+4]); + } + grid1 = (constant uint8_t *)(iq3s_grid + (qs[4*il+2] | ((qh << 6) & 256))); + grid2 = (constant uint8_t *)(iq3s_grid + (qs[4*il+3] | ((qh << 5) & 256))); + for (int i = 0; i < 4; ++i) { + reg[2][i] = dl * grid1[i] * select(1, -1, signs[1] & kmask_iq2xs[i+0]); + reg[3][i] = dl * grid2[i] * select(1, -1, signs[1] & kmask_iq2xs[i+4]); + } +} + +template +void dequantize_iq2_s(device const block_iq2_s * xb, short il, thread type4x4 & reg) { + // il is 0...15 for QK_K = 256 => index of block of 32 is il/2 + const float d = xb->d; + const int ib32 = il/2; + il = il%2; + // il = 0 or 1. il = 0 processes the first 16 quants in a block of 32, il = 1 the second 16 + device const uint8_t * qs = xb->qs + 4*ib32 + 2*il; + device const uint8_t * signs = qs + QK_K/8; + const uint8_t qh = xb->qh[ib32] >> 4*il; + const float dl = d * (0.5f + ((xb->scales[ib32] >> 4*il) & 0xf)) * 0.25f; + constant uint8_t * grid1 = (constant uint8_t *)(iq2s_grid + (qs[0] | ((qh << 8) & 0x300))); + constant uint8_t * grid2 = (constant uint8_t *)(iq2s_grid + (qs[1] | ((qh << 6) & 0x300))); + for (int i = 0; i < 8; ++i) { + reg[i/4+0][i%4] = dl * grid1[i] * select(1, -1, signs[0] & kmask_iq2xs[i]); + reg[i/4+2][i%4] = dl * grid2[i] * select(1, -1, signs[1] & kmask_iq2xs[i]); + } +} + +template +void dequantize_iq1_s(device const block_iq1_s * xb, short il, thread type4x4 & reg) { + // il is 0...15 for QK_K = 256 => index of block of 32 is il/2 + const int ib32 = il/2; + il = il%2; + const float d = xb->d; + device const uint8_t * qs = xb->qs + 4*ib32 + 2*il; + device const uint16_t * qh = xb->qh; + const float dl = d * (2*((qh[ib32] >> 12) & 7) + 1); + const float ml = dl * (qh[ib32] & 0x8000 ? -1 - IQ1S_DELTA : -1 + IQ1S_DELTA); + const uint16_t h = qh[ib32] >> 6*il; + constant uint8_t * grid1 = (constant uint8_t *)(iq1s_grid_gpu + (qs[0] | ((h << 8) & 0x700))); + constant uint8_t * grid2 = (constant uint8_t *)(iq1s_grid_gpu + (qs[1] | ((h << 5) & 0x700))); + for (int i = 0; i < 4; ++i) { + reg[0][i] = dl * (grid1[i] & 0xf) + ml; + reg[1][i] = dl * (grid1[i] >> 4) + ml; + reg[2][i] = dl * (grid2[i] & 0xf) + ml; + reg[3][i] = dl * (grid2[i] >> 4) + ml; + } +} + +template +void dequantize_iq1_m(device const block_iq1_m * xb, short il, thread type4x4 & reg) { + // il is 0...15 for QK_K = 256 => index of block of 32 is il/2 + const int ib32 = il/2; + il = il%2; + device const uint16_t * sc = (device const uint16_t *)xb->scales; + + iq1m_scale_t scale; + scale.u16 = (sc[0] >> 12) | ((sc[1] >> 8) & 0x00f0) | ((sc[2] >> 4) & 0x0f00) | (sc[3] & 0xf000); + const float d = scale.f16; + + device const uint8_t * qs = xb->qs + 4*ib32 + 2*il; + device const uint8_t * qh = xb->qh + 2*ib32 + il; + + const float dl = d * (2*((sc[ib32/2] >> (6*(ib32%2)+3*il)) & 7) + 1); + const float ml1 = dl * (qh[0] & 0x08 ? -1 - IQ1M_DELTA : -1 + IQ1M_DELTA); + const float ml2 = dl * (qh[0] & 0x80 ? -1 - IQ1M_DELTA : -1 + IQ1M_DELTA); + constant uint8_t * grid1 = (constant uint8_t *)(iq1s_grid_gpu + (qs[0] | ((qh[0] << 8) & 0x700))); + constant uint8_t * grid2 = (constant uint8_t *)(iq1s_grid_gpu + (qs[1] | ((qh[0] << 4) & 0x700))); + for (int i = 0; i < 4; ++i) { + reg[0][i] = dl * (grid1[i] & 0xf) + ml1; + reg[1][i] = dl * (grid1[i] >> 4) + ml1; + reg[2][i] = dl * (grid2[i] & 0xf) + ml2; + reg[3][i] = dl * (grid2[i] >> 4) + ml2; + } +} + +template +void dequantize_iq4_nl(device const block_iq4_nl * xb, short il, thread type4x4 & reg) { + device const uint16_t * q4 = (device const uint16_t *)xb->qs; + const float d = xb->d; + uint32_t aux32; + thread const uint8_t * q8 = (thread const uint8_t *)&aux32; + for (int i = 0; i < 4; ++i) { + aux32 = ((q4[2*i] | (q4[2*i+1] << 16)) >> 4*il) & 0x0f0f0f0f; + reg[i][0] = d * kvalues_iq4nl_f[q8[0]]; + reg[i][1] = d * kvalues_iq4nl_f[q8[1]]; + reg[i][2] = d * kvalues_iq4nl_f[q8[2]]; + reg[i][3] = d * kvalues_iq4nl_f[q8[3]]; + } +} + +template +void dequantize_iq4_nl_t4(device const block_iq4_nl * xb, short il, thread type4 & reg) { + device const uint16_t * q4 = (device const uint16_t *)xb->qs; + const float d = xb->d; + uint32_t aux32; + thread const uint8_t * q8 = (thread const uint8_t *)&aux32; + aux32 = ((q4[2*(il%4)] | (q4[2*(il%4)+1] << 16)) >> 4*(il/4)) & 0x0f0f0f0f; + reg[0] = d * kvalues_iq4nl_f[q8[0]]; + reg[1] = d * kvalues_iq4nl_f[q8[1]]; + reg[2] = d * kvalues_iq4nl_f[q8[2]]; + reg[3] = d * kvalues_iq4nl_f[q8[3]]; +} + +template +void dequantize_iq4_xs(device const block_iq4_xs * xb, short il, thread type4x4 & reg) { + // il is 0...15 for QK_K = 256 => index of block of 32 is il/2 + const int ib32 = il/2; + il = il%2; + // il = 0 or 1. il = 0 processes the first 16 quants in a block of 32, il = 1 the second 16 + device const uint32_t * q4 = (device const uint32_t *)xb->qs + 4*ib32; + const int ls = ((xb->scales_l[ib32/2] >> 4*(ib32%2)) & 0xf) | (((xb->scales_h >> 2*ib32) & 3) << 4); + const float d = (float)xb->d * (ls - 32); + uint32_t aux32; + thread const uint8_t * q8 = (thread const uint8_t *)&aux32; + for (int i = 0; i < 4; ++i) { + aux32 = (q4[i] >> 4*il) & 0x0f0f0f0f; + reg[i][0] = d * kvalues_iq4nl_f[q8[0]]; + reg[i][1] = d * kvalues_iq4nl_f[q8[1]]; + reg[i][2] = d * kvalues_iq4nl_f[q8[2]]; + reg[i][3] = d * kvalues_iq4nl_f[q8[3]]; + } +} + +enum lm_ggml_sort_order { + LM_GGML_SORT_ORDER_ASC, + LM_GGML_SORT_ORDER_DESC, +}; + +// general-purpose kernel for addition, subtraction, multiplication and division of two tensors +// pros: works for non-contiguous tensors, supports broadcast across all dims +// cons: not very efficient +template +kernel void kernel_add_fuse_impl( + constant lm_ggml_metal_kargs_bin & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + const int i03 = tgpig.z; + const int i02 = tgpig.y; + const int i01 = tgpig.x; + + const int i13 = i03%args.ne13; + const int i12 = i02%args.ne12; + const int i11 = i01%args.ne11; + + device const float * src0_ptr = (device const float *) (src0 + i03*args.nb03 + i02*args.nb02 + i01*args.nb01 + args.offs); + device float * dst_ptr = (device float *) (dst + i03*args.nb3 + i02*args.nb2 + i01*args.nb1 + args.offs); + + device const float * src1_ptr[F]; + for (short j = 0; j < F; ++j) { + src1_ptr[j] = (device const float *) (src1 + args.o1[j] + i13*args.nb13 + i12*args.nb12 + i11*args.nb11); + } + + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + const int i10 = i0%args.ne10; + + float res = src0_ptr[i0]; + +#pragma unroll + for (short j = 0; j < F; ++j) { + res += src1_ptr[j][i10]; + } + + dst_ptr[i0] = res; + } +} + +typedef decltype(kernel_add_fuse_impl<2>) kernel_add_fuse_t; + +template [[host_name("kernel_add_fuse_1")]] kernel kernel_add_fuse_t kernel_add_fuse_impl<1>; +template [[host_name("kernel_add_fuse_2")]] kernel kernel_add_fuse_t kernel_add_fuse_impl<2>; +template [[host_name("kernel_add_fuse_3")]] kernel kernel_add_fuse_t kernel_add_fuse_impl<3>; +template [[host_name("kernel_add_fuse_4")]] kernel kernel_add_fuse_t kernel_add_fuse_impl<4>; +template [[host_name("kernel_add_fuse_5")]] kernel kernel_add_fuse_t kernel_add_fuse_impl<5>; +template [[host_name("kernel_add_fuse_6")]] kernel kernel_add_fuse_t kernel_add_fuse_impl<6>; +template [[host_name("kernel_add_fuse_7")]] kernel kernel_add_fuse_t kernel_add_fuse_impl<7>; +template [[host_name("kernel_add_fuse_8")]] kernel kernel_add_fuse_t kernel_add_fuse_impl<8>; + +kernel void kernel_sub_fuse_1( + constant lm_ggml_metal_kargs_bin & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + const int i03 = tgpig.z; + const int i02 = tgpig.y; + const int i01 = tgpig.x; + + const int i13 = i03%args.ne13; + const int i12 = i02%args.ne12; + const int i11 = i01%args.ne11; + + device const char * src0_ptr = src0 + i03*args.nb03 + i02*args.nb02 + i01*args.nb01 + args.offs; + device const char * src1_ptr = src1 + i13*args.nb13 + i12*args.nb12 + i11*args.nb11 + args.o1[0]; + device char * dst_ptr = dst + i03*args.nb3 + i02*args.nb2 + i01*args.nb1 + args.offs; + + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + const int i10 = i0%args.ne10; + *((device float *)(dst_ptr + i0*args.nb0)) = *((device float *)(src0_ptr + i0*args.nb00)) - *((device float *)(src1_ptr + i10*args.nb10)); + } +} + +kernel void kernel_mul_fuse_1( + constant lm_ggml_metal_kargs_bin & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + const int i03 = tgpig.z; + const int i02 = tgpig.y; + const int i01 = tgpig.x; + + const int i13 = i03%args.ne13; + const int i12 = i02%args.ne12; + const int i11 = i01%args.ne11; + + device const char * src0_ptr = src0 + i03*args.nb03 + i02*args.nb02 + i01*args.nb01 + args.offs; + device const char * src1_ptr = src1 + i13*args.nb13 + i12*args.nb12 + i11*args.nb11 + args.o1[0]; + device char * dst_ptr = dst + i03*args.nb3 + i02*args.nb2 + i01*args.nb1 + args.offs; + + if (args.ne10 == 1) { + const float x = *((device float *)(src1_ptr)); + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + *((device float *)(dst_ptr + i0*args.nb0)) = *((device float *)(src0_ptr + i0*args.nb00)) * x; + } + } else { + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + const int i10 = i0%args.ne10; + *((device float *)(dst_ptr + i0*args.nb0)) = *((device float *)(src0_ptr + i0*args.nb00)) * *((device float *)(src1_ptr + i10*args.nb10)); + } + } +} + +kernel void kernel_div_fuse_1( + constant lm_ggml_metal_kargs_bin & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + const int i03 = tgpig.z; + const int i02 = tgpig.y; + const int i01 = tgpig.x; + + const int i13 = i03%args.ne13; + const int i12 = i02%args.ne12; + const int i11 = i01%args.ne11; + + device const char * src0_ptr = src0 + i03*args.nb03 + i02*args.nb02 + i01*args.nb01 + args.offs; + device const char * src1_ptr = src1 + i13*args.nb13 + i12*args.nb12 + i11*args.nb11 + args.o1[0]; + device char * dst_ptr = dst + i03*args.nb3 + i02*args.nb2 + i01*args.nb1 + args.offs; + + if (args.ne10 == 1) { + const float x = 1.0f / *((device float *)(src1_ptr)); + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + *((device float *)(dst_ptr + i0*args.nb0)) = *((device float *)(src0_ptr + i0*args.nb00)) * x; + } + } else { + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + const int i10 = i0%args.ne10; + *((device float *)(dst_ptr + i0*args.nb0)) = *((device float *)(src0_ptr + i0*args.nb00)) / *((device float *)(src1_ptr + i10*args.nb10)); + } + } +} + +kernel void kernel_add_id( + constant lm_ggml_metal_kargs_add_id & args, + device const char * src0, + device const char * src1, + device const char * src2, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + const int i1 = tgpig.x; + const int i2 = tgpig.y; + + const int i11 = *((device const int32_t *) (src2 + i1*sizeof(int32_t) + i2*args.nb21)); + + const size_t nb1 = args.ne0 * sizeof(float); + const size_t nb2 = args.ne1 * nb1; + + device float * dst_row = (device float *)((device char *)dst + i1*nb1 + i2*nb2); + device const float * src0_row = (device const float *)((device char *)src0 + i1*args.nb01 + i2*args.nb02); + device const float * src1_row = (device const float *)((device char *)src1 + i11*args.nb11); + + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + dst_row[i0] = src0_row[i0] + src1_row[i0]; + } +} + +template +kernel void kernel_repeat( + constant lm_ggml_metal_kargs_repeat & args, + device const char * src0, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + const int i3 = tgpig.z; + const int i2 = tgpig.y; + const int i1 = tgpig.x; + + const int i03 = i3%args.ne03; + const int i02 = i2%args.ne02; + const int i01 = i1%args.ne01; + + device const char * src0_ptr = src0 + i03*args.nb03 + i02*args.nb02 + i01*args.nb01; + device char * dst_ptr = dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1; + + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + const int i00 = i0%args.ne00; + *((device T *)(dst_ptr + i0*args.nb0)) = *((device T *)(src0_ptr + i00*args.nb00)); + } +} + +typedef decltype(kernel_repeat) kernel_repeat_t; + +template [[host_name("kernel_repeat_f32")]] kernel kernel_repeat_t kernel_repeat; +template [[host_name("kernel_repeat_f16")]] kernel kernel_repeat_t kernel_repeat; +template [[host_name("kernel_repeat_i32")]] kernel kernel_repeat_t kernel_repeat; +template [[host_name("kernel_repeat_i16")]] kernel kernel_repeat_t kernel_repeat; + +// assumption: src1 is a row +// broadcast src1 into src0 +template +kernel void kernel_add_row_c4_fuse_impl( + constant lm_ggml_metal_kargs_bin & args, + device const char * src0, + device const char * src1, + device char * dst, + uint tpig[[thread_position_in_grid]]) { + const uint nb = args.ne00/4; + const uint i = tpig % nb; + + device const float4 * src0_row = (device const float4 *) (src0); + device float4 * dst_row = (device float4 *) (dst); + + float4 res = src0_row[tpig]; + +#pragma unroll(F) + for (short j = 0; j < F; ++j) { + res += ((device const float4 *) (src1 + args.o1[j]))[i]; + } + + dst_row[tpig] = res; +} + +typedef decltype(kernel_add_row_c4_fuse_impl<1>) kernel_add_row_c4_fuse_t; + +template [[host_name("kernel_add_row_c4_fuse_1")]] kernel kernel_add_row_c4_fuse_t kernel_add_row_c4_fuse_impl<1>; +template [[host_name("kernel_add_row_c4_fuse_2")]] kernel kernel_add_row_c4_fuse_t kernel_add_row_c4_fuse_impl<2>; +template [[host_name("kernel_add_row_c4_fuse_3")]] kernel kernel_add_row_c4_fuse_t kernel_add_row_c4_fuse_impl<3>; +template [[host_name("kernel_add_row_c4_fuse_4")]] kernel kernel_add_row_c4_fuse_t kernel_add_row_c4_fuse_impl<4>; +template [[host_name("kernel_add_row_c4_fuse_5")]] kernel kernel_add_row_c4_fuse_t kernel_add_row_c4_fuse_impl<5>; +template [[host_name("kernel_add_row_c4_fuse_6")]] kernel kernel_add_row_c4_fuse_t kernel_add_row_c4_fuse_impl<6>; +template [[host_name("kernel_add_row_c4_fuse_7")]] kernel kernel_add_row_c4_fuse_t kernel_add_row_c4_fuse_impl<7>; +template [[host_name("kernel_add_row_c4_fuse_8")]] kernel kernel_add_row_c4_fuse_t kernel_add_row_c4_fuse_impl<8>; + +template +kernel void kernel_sub_row_c4_fuse_impl( + constant lm_ggml_metal_kargs_bin & args, + device const char * src0, + device const char * src1, + device char * dst, + uint tpig[[thread_position_in_grid]]) { + + const uint nb = args.ne00/4; + const uint i = tpig % nb; + + device const float4 * src0_row = (device const float4 *) (src0); + device float4 * dst_row = (device float4 *) (dst); + + device const float4 * src1_row[F]; + for (short j = 0; j < F; ++j) { + src1_row[j] = (device const float4 *) (src1 + args.o1[j]); + } + + float4 res = src0_row[tpig]; + +#pragma unroll(F) + for (short j = 0; j < F; ++j) { + res -= src1_row[j][i]; + } + + dst_row[tpig] = res; +} + +typedef decltype(kernel_sub_row_c4_fuse_impl<1>) kernel_sub_row_c4_fuse_t; + +template [[host_name("kernel_sub_row_c4_fuse_1")]] kernel kernel_sub_row_c4_fuse_t kernel_sub_row_c4_fuse_impl<1>; + +template +kernel void kernel_mul_row_c4_fuse_impl( + constant lm_ggml_metal_kargs_bin & args, + device const char * src0, + device const char * src1, + device char * dst, + uint tpig[[thread_position_in_grid]]) { + + const uint nb = args.ne00/4; + const uint i = tpig % nb; + + device const float4 * src0_row = (device const float4 *) (src0); + device float4 * dst_row = (device float4 *) (dst); + + device const float4 * src1_row[F]; + for (short j = 0; j < F; ++j) { + src1_row[j] = (device const float4 *) (src1 + args.o1[j]); + } + + float4 res = src0_row[tpig]; + +#pragma unroll(F) + for (short j = 0; j < F; ++j) { + res *= src1_row[j][i]; + } + + dst_row[tpig] = res; +} + +typedef decltype(kernel_mul_row_c4_fuse_impl<1>) kernel_mul_row_c4_fuse_t; + +template [[host_name("kernel_mul_row_c4_fuse_1")]] kernel kernel_mul_row_c4_fuse_t kernel_mul_row_c4_fuse_impl<1>; + +template +kernel void kernel_div_row_c4_fuse_impl( + constant lm_ggml_metal_kargs_bin & args, + device const char * src0, + device const char * src1, + device char * dst, + uint tpig[[thread_position_in_grid]]) { + + const uint nb = args.ne00/4; + const uint i = tpig % nb; + + device const float4 * src0_row = (device const float4 *) (src0); + device float4 * dst_row = (device float4 *) (dst); + + device const float4 * src1_row[F]; + for (short j = 0; j < F; ++j) { + src1_row[j] = (device const float4 *) (src1 + args.o1[j]); + } + + float4 res = src0_row[tpig]; + +#pragma unroll(F) + for (short j = 0; j < F; ++j) { + res /= src1_row[j][i]; + } + + dst_row[tpig] = res; +} + +typedef decltype(kernel_div_row_c4_fuse_impl<1>) kernel_div_row_c4_fuse_t; + +template [[host_name("kernel_div_row_c4_fuse_1")]] kernel kernel_div_row_c4_fuse_t kernel_div_row_c4_fuse_impl<1>; + +kernel void kernel_scale_f32( + constant lm_ggml_metal_kargs_scale & args, + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = src0[tpig] * args.scale + args.bias; +} + +kernel void kernel_scale_f32_4( + constant lm_ggml_metal_kargs_scale & args, + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = src0[tpig] * args.scale + args.bias; +} + +kernel void kernel_clamp_f32( + constant lm_ggml_metal_kargs_clamp & args, + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = clamp(src0[tpig], args.min, args.max); +} + +kernel void kernel_clamp_f32_4( + constant lm_ggml_metal_kargs_clamp & args, + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = clamp(src0[tpig], args.min, args.max); +} + +kernel void kernel_relu_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = max(0.0f, src0[tpig]); +} + +kernel void kernel_relu_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = max(0.0f, src0[tpig]); +} + +kernel void kernel_sigmoid_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = 1.0f / (1.0f + exp(-src0[tpig])); +} + +kernel void kernel_sigmoid_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = 1.0f / (1.0f + exp(-src0[tpig])); +} + +kernel void kernel_tanh_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = precise::tanh(src0[tpig]); +} + +kernel void kernel_tanh_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = precise::tanh(src0[tpig]); +} + +constant float GELU_COEF_A = 0.044715f; +constant float GELU_QUICK_COEF = -1.702f; +constant float SQRT_2_OVER_PI = 0.79788456080286535587989211986876f; +constant float SQRT_2_INV = 0.70710678118654752440084436210484f; + +kernel void kernel_gelu_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + device const float & x = src0[tpig]; + + dst[tpig] = 0.5f*x*(1.0f + precise::tanh(SQRT_2_OVER_PI*x*(1.0f + GELU_COEF_A*x*x))); +} + +kernel void kernel_gelu_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + device const float4 & x = src0[tpig]; + + // BEWARE !!! + // Simply using "tanh" instead of "precise::tanh" will sometimes results in NaNs! + // This was observed with Falcon 7B and 40B models + // + dst[tpig] = 0.5f*x*(1.0f + precise::tanh(SQRT_2_OVER_PI*x*(1.0f + GELU_COEF_A*x*x))); +} + +kernel void kernel_gelu_quick_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + device const float & x = src0[tpig]; + + dst[tpig] = x*(1.0f/(1.0f+exp(GELU_QUICK_COEF*x))); +} + +kernel void kernel_gelu_quick_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + device const float4 & x = src0[tpig]; + + dst[tpig] = x*(1.0f/(1.0f+exp(GELU_QUICK_COEF*x))); +} + +// based on Abramowitz and Stegun formula 7.1.26 or similar Hastings' approximation +// ref: https://www.johndcook.com/blog/python_erf/ +constant float p_erf = 0.3275911f; +constant float a1_erf = 0.254829592f; +constant float a2_erf = -0.284496736f; +constant float a3_erf = 1.421413741f; +constant float a4_erf = -1.453152027f; +constant float a5_erf = 1.061405429f; + +template +T erf_approx(T x) { + T sign_x = sign(x); + x = fabs(x); + T t = 1.0f / (1.0f + p_erf * x); + T y = 1.0f - (((((a5_erf * t + a4_erf) * t) + a3_erf) * t + a2_erf) * t + a1_erf) * t * exp(-x * x); + return sign_x * y; +} + +kernel void kernel_gelu_erf_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + device const float & x = src0[tpig]; + + dst[tpig] = 0.5f*x*(1.0f+erf_approx(x*SQRT_2_INV)); +} + +kernel void kernel_gelu_erf_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + device const float4 & x = src0[tpig]; + + dst[tpig] = 0.5f*x*(1.0f+erf_approx(x*SQRT_2_INV)); +} + +kernel void kernel_silu_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + device const float & x = src0[tpig]; + dst[tpig] = x / (1.0f + exp(-x)); +} + +kernel void kernel_silu_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + device const float4 & x = src0[tpig]; + dst[tpig] = x / (1.0f + exp(-x)); +} + +kernel void kernel_elu_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + const float x = src0[tpig]; + dst[tpig] = (x > 0.0f) ? x : (exp(x) - 1.0f); +} + +kernel void kernel_elu_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + const float4 x = src0[tpig]; + dst[tpig][0] = (x[0] > 0.0f) ? x[0] : (exp(x[0]) - 1.0f); + dst[tpig][1] = (x[1] > 0.0f) ? x[1] : (exp(x[1]) - 1.0f); + dst[tpig][2] = (x[2] > 0.0f) ? x[2] : (exp(x[2]) - 1.0f); + dst[tpig][3] = (x[3] > 0.0f) ? x[3] : (exp(x[3]) - 1.0f); +} + +kernel void kernel_sqr_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = src0[tpig] * src0[tpig]; +} + +kernel void kernel_sqr_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = src0[tpig] * src0[tpig]; +} + +kernel void kernel_sqrt_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = sqrt(src0[tpig]); +} + +kernel void kernel_sqrt_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = sqrt(src0[tpig]); +} + +kernel void kernel_sin_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = sin(src0[tpig]); +} + +kernel void kernel_sin_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = sin(src0[tpig]); +} + +kernel void kernel_cos_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = cos(src0[tpig]); +} + +kernel void kernel_cos_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = cos(src0[tpig]); +} + +kernel void kernel_log_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = log(src0[tpig]); +} + +kernel void kernel_log_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = log(src0[tpig]); +} + +kernel void kernel_neg_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = -src0[tpig]; +} + +kernel void kernel_neg_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = -src0[tpig]; +} + +kernel void kernel_abs_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = fabs(src0[tpig]); +} + +kernel void kernel_abs_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = fabs(src0[tpig]); +} + +kernel void kernel_sgn_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = sign(src0[tpig]); +} + +kernel void kernel_sgn_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = sign(src0[tpig]); +} + +kernel void kernel_step_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = step(0.0f, src0[tpig]); +} + +kernel void kernel_step_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = step(0.0f, src0[tpig]); +} + +kernel void kernel_hardswish_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + const float x = src0[tpig]; + dst[tpig] = x * fmin(1.0f, fmax(0.0f, (x + 3.0f) / 6.0f)); +} + +kernel void kernel_hardswish_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + const float4 x = src0[tpig]; + dst[tpig] = x * fmin(1.0f, fmax(0.0f, (x + 3.0f) / 6.0f)); +} + +kernel void kernel_hardsigmoid_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + const float x = src0[tpig]; + dst[tpig] = fmin(1.0f, fmax(0.0f, (x + 3.0f) / 6.0f)); +} + +kernel void kernel_hardsigmoid_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + const float4 x = src0[tpig]; + dst[tpig] = fmin(1.0f, fmax(0.0f, (x + 3.0f) / 6.0f)); +} + +kernel void kernel_exp_f32( + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = exp(src0[tpig]); +} + +kernel void kernel_exp_f32_4( + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + dst[tpig] = exp(src0[tpig]); +} + +kernel void kernel_reglu_f32( + constant lm_ggml_metal_kargs_glu & args, + device const char * src0, + device const char * src1, + device char * dst, + uint tgpig[[threadgroup_position_in_grid]], + uint tpitg[[thread_position_in_threadgroup]], + uint ntg[[threads_per_threadgroup]]) { + device const float * src0_row = (device const float *) ((device const char *) src0 + tgpig*args.nb01) + args.i00; + device const float * src1_row = (device const float *) ((device const char *) src1 + tgpig*args.nb11) + args.i10; + device float * dst_row = (device float *) ((device char *) dst + tgpig*args.nb1); + + for (int i0 = tpitg; i0 < args.ne0; i0 += ntg) { + const float x0 = src0_row[i0]; + const float x1 = src1_row[i0]; + + dst_row[i0] = x0*x1*(x0 > 0.0f); + } +} + +kernel void kernel_geglu_f32( + constant lm_ggml_metal_kargs_glu & args, + device const char * src0, + device const char * src1, + device char * dst, + uint tgpig[[threadgroup_position_in_grid]], + uint tpitg[[thread_position_in_threadgroup]], + uint ntg[[threads_per_threadgroup]]) { + device const float * src0_row = (device const float *) ((device const char *) src0 + tgpig*args.nb01) + args.i00; + device const float * src1_row = (device const float *) ((device const char *) src1 + tgpig*args.nb11) + args.i10; + device float * dst_row = (device float *) ((device char *) dst + tgpig*args.nb1); + + for (int i0 = tpitg; i0 < args.ne0; i0 += ntg) { + const float x0 = src0_row[i0]; + const float x1 = src1_row[i0]; + + const float gelu = 0.5f*x0*(1.0f + precise::tanh(SQRT_2_OVER_PI*x0*(1.0f + GELU_COEF_A*x0*x0))); + + dst_row[i0] = gelu*x1; + } +} + +kernel void kernel_swiglu_f32( + constant lm_ggml_metal_kargs_glu & args, + device const char * src0, + device const char * src1, + device char * dst, + uint tgpig[[threadgroup_position_in_grid]], + uint tpitg[[thread_position_in_threadgroup]], + uint ntg[[threads_per_threadgroup]]) { + device const float * src0_row = (device const float *) ((device const char *) src0 + tgpig*args.nb01) + args.i00; + device const float * src1_row = (device const float *) ((device const char *) src1 + tgpig*args.nb11) + args.i10; + device float * dst_row = (device float *) ((device char *) dst + tgpig*args.nb1); + + for (int i0 = tpitg; i0 < args.ne0; i0 += ntg) { + const float x0 = src0_row[i0]; + const float x1 = src1_row[i0]; + + const float silu = x0 / (1.0f + exp(-x0)); + + dst_row[i0] = silu*x1; + } +} + +kernel void kernel_swiglu_oai_f32( + constant lm_ggml_metal_kargs_glu & args, + device const char * src0, + device const char * src1, + device char * dst, + uint tgpig[[threadgroup_position_in_grid]], + uint tpitg[[thread_position_in_threadgroup]], + uint ntg[[threads_per_threadgroup]]) { + device const float * src0_row = (device const float *) ((device const char *) src0 + tgpig*args.nb01) + args.i00; + device const float * src1_row = (device const float *) ((device const char *) src1 + tgpig*args.nb11) + args.i10; + device float * dst_row = (device float *) ((device char *) dst + tgpig*args.nb1); + + for (int i0 = tpitg; i0 < args.ne0; i0 += ntg) { + float x0 = src0_row[i0]; + float x1 = src1_row[i0]; + + x0 = min(x0, args.limit); + x1 = max(min(x1, args.limit), -args.limit); + + float out_glu = x0 / (1.0f + exp(-x0 * args.alpha)); + out_glu = out_glu * (1.0f + x1); + + dst_row[i0] = out_glu; + } +} + +kernel void kernel_geglu_erf_f32( + constant lm_ggml_metal_kargs_glu & args, + device const char * src0, + device const char * src1, + device char * dst, + uint tgpig[[threadgroup_position_in_grid]], + uint tpitg[[thread_position_in_threadgroup]], + uint ntg[[threads_per_threadgroup]]) { + device const float * src0_row = (device const float *) ((device const char *) src0 + tgpig*args.nb01) + args.i00; + device const float * src1_row = (device const float *) ((device const char *) src1 + tgpig*args.nb11) + args.i10; + device float * dst_row = (device float *) ((device char *) dst + tgpig*args.nb1); + + for (int i0 = tpitg; i0 < args.ne0; i0 += ntg) { + const float x0 = src0_row[i0]; + const float x1 = src1_row[i0]; + + const float gelu_erf = 0.5f*x0*(1.0f+erf_approx(x0*SQRT_2_INV)); + + dst_row[i0] = gelu_erf*x1; + } +} + +kernel void kernel_geglu_quick_f32( + constant lm_ggml_metal_kargs_glu & args, + device const char * src0, + device const char * src1, + device char * dst, + uint tgpig[[threadgroup_position_in_grid]], + uint tpitg[[thread_position_in_threadgroup]], + uint ntg[[threads_per_threadgroup]]) { + device const float * src0_row = (device const float *) ((device const char *) src0 + tgpig*args.nb01) + args.i00; + device const float * src1_row = (device const float *) ((device const char *) src1 + tgpig*args.nb11) + args.i10; + device float * dst_row = (device float *) ((device char *) dst + tgpig*args.nb1); + + for (int i0 = tpitg; i0 < args.ne0; i0 += ntg) { + const float x0 = src0_row[i0]; + const float x1 = src1_row[i0]; + + const float gelu_quick = x0*(1.0f/(1.0f+exp(GELU_QUICK_COEF*x0))); + + dst_row[i0] = gelu_quick*x1; + } +} + +kernel void kernel_op_sum_f32( + constant lm_ggml_metal_kargs_sum & args, + device const float * src0, + device float * dst, + threadgroup float * shmem_f32 [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + + if (args.np == 0) { + return; + } + + const uint nsg = (ntg.x + 31) / 32; + + float sumf = 0; + + for (uint64_t i0 = tpitg.x; i0 < args.np; i0 += ntg.x) { + sumf += src0[i0]; + } + + sumf = simd_sum(sumf); + + if (tiisg == 0) { + shmem_f32[sgitg] = sumf; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + float total = 0; + + if (sgitg == 0) { + float v = 0; + + if (tpitg.x < nsg) { + v = shmem_f32[tpitg.x]; + } + + total = simd_sum(v); + + if (tpitg.x == 0) { + dst[0] = total; + } + } +} + +template +kernel void kernel_sum_rows( + constant lm_ggml_metal_kargs_sum_rows & args, + device const float * src0, + device float * dst, + threadgroup float * shmem_f32 [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + int64_t i3 = tgpig.z; + int64_t i2 = tgpig.y; + int64_t i1 = tgpig.x; + + if (i3 >= args.ne03 || i2 >= args.ne02 || i1 >= args.ne01) { + return; + } + + if (sgitg == 0) { + shmem_f32[tiisg] = 0.0f; + } + + device const float * src_row = (device const float *) ((device const char *) src0 + i1*args.nb01 + i2*args.nb02 + i3*args.nb03); + device float * dst_row = (device float *) ((device char *) dst + i1*args.nb1 + i2*args.nb2 + i3*args.nb3); + + float sumf = 0; + + for (int64_t i0 = tpitg.x; i0 < args.ne00; i0 += ntg.x) { + sumf += src_row[i0]; + } + + sumf = simd_sum(sumf); + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (tiisg == 0) { + shmem_f32[sgitg] = sumf; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + sumf = shmem_f32[tiisg]; + sumf = simd_sum(sumf); + + if (tpitg.x == 0) { + dst_row[0] = norm ? sumf / args.ne00 : sumf; + } +} + +typedef decltype(kernel_sum_rows) kernel_sum_rows_t; + +template [[host_name("kernel_sum_rows_f32")]] kernel kernel_sum_rows_t kernel_sum_rows; +template [[host_name("kernel_mean_f32")]] kernel kernel_sum_rows_t kernel_sum_rows; + +template +kernel void kernel_cumsum_blk( + constant lm_ggml_metal_kargs_cumsum_blk & args, + device const char * src0, + device char * tmp, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + const int ib = tgpig[0]/args.ne01; + + const int i00 = ib*ntg.x; + const int i01 = tgpig[0]%args.ne01; + const int i02 = tgpig[1]; + const int i03 = tgpig[2]; + + device const float * src0_row = (device const float *) (src0 + + args.nb01*i01 + + args.nb02*i02 + + args.nb03*i03); + + threadgroup float * shmem_f32 = (threadgroup float *) shmem; + + float v = 0.0f; + + if (i00 + tpitg.x < args.ne00) { + v = src0_row[i00 + tpitg.x]; + } + + float s = simd_prefix_inclusive_sum(v); + + if (tiisg == N_SIMDWIDTH - 1) { + shmem_f32[sgitg] = s; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (sgitg == 0) { + shmem_f32[tiisg] = simd_prefix_exclusive_sum(shmem_f32[tiisg]); + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + s += shmem_f32[sgitg]; + + device float * dst_row = (device float *) dst + + args.ne00*i01 + + args.ne00*args.ne01*i02 + + args.ne00*args.ne01*args.ne02*i03; + + if (i00 + tpitg.x < args.ne00) { + dst_row[i00 + tpitg.x] = s; + } + + if (args.outb && tpitg.x == ntg.x - 1) { + device float * tmp_row = (device float *) tmp + + args.net0*i01 + + args.net0*args.net1*i02 + + args.net0*args.net1*args.net2*i03; + + tmp_row[ib] = s; + } +} + +typedef decltype(kernel_cumsum_blk) kernel_cumsum_blk_t; + +template [[host_name("kernel_cumsum_blk_f32")]] kernel kernel_cumsum_blk_t kernel_cumsum_blk; + +template +kernel void kernel_cumsum_add( + constant lm_ggml_metal_kargs_cumsum_add & args, + device const char * tmp, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + const int ib = tgpig[0]/args.ne01; + + if (ib == 0) { + return; + } + + const int i00 = ib*ntg.x; + const int i01 = tgpig[0]%args.ne01; + const int i02 = tgpig[1]; + const int i03 = tgpig[2]; + + device const float * tmp_row = (device const float *) (tmp + + args.nbt1*i01 + + args.nbt2*i02 + + args.nbt3*i03); + + device float * dst_row = (device float *) dst + + args.ne00*i01 + + args.ne00*args.ne01*i02 + + args.ne00*args.ne01*args.ne02*i03; + + if (i00 + tpitg.x < args.ne00) { + dst_row[i00 + tpitg.x] += tmp_row[ib - 1]; + } +} + +typedef decltype(kernel_cumsum_add) kernel_cumsum_add_t; + +template [[host_name("kernel_cumsum_add_f32")]] kernel kernel_cumsum_add_t kernel_cumsum_add; + +template +kernel void kernel_soft_max( + constant lm_ggml_metal_kargs_soft_max & args, + device const char * src0, + device const char * src1, + device const char * src2, + device char * dst, + threadgroup float * buf [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint sgitg[[simdgroup_index_in_threadgroup]], + uint tiisg[[thread_index_in_simdgroup]], + uint3 tptg[[threads_per_threadgroup]]) { + const int32_t i03 = tgpig.z; + const int32_t i02 = tgpig.y; + const int32_t i01 = tgpig.x; + + const int32_t i13 = i03%args.ne13; + const int32_t i12 = i02%args.ne12; + const int32_t i11 = i01; + + device const float * psrc0 = (device const float *) (src0 + i01*args.nb01 + i02*args.nb02 + i03*args.nb03); + device const T * pmask = src1 != src0 ? (device const T * ) (src1 + i11*args.nb11 + i12*args.nb12 + i13*args.nb13) : nullptr; + device const float * psrc2 = src2 != src0 ? (device const float *) (src2) : nullptr; + device float * pdst = (device float *) (dst + i01*args.nb1 + i02*args.nb2 + i03*args.nb3); + + float slope = 1.0f; + + // ALiBi + if (args.max_bias > 0.0f) { + const int32_t h = i02; + + const float base = h < args.n_head_log2 ? args.m0 : args.m1; + const int exp = h < args.n_head_log2 ? h + 1 : 2*(h - args.n_head_log2) + 1; + + slope = pow(base, exp); + } + + // parallel max + float lmax = psrc2 ? psrc2[i02] : -INFINITY; + + for (int i00 = tpitg.x; i00 < args.ne00; i00 += tptg.x) { + lmax = MAX(lmax, psrc0[i00]*args.scale + (pmask ? slope*pmask[i00] : 0.0f)); + } + + // find the max value in the block + float max_val = simd_max(lmax); + if (tptg.x > N_SIMDWIDTH) { + if (sgitg == 0) { + buf[tiisg] = -INFINITY; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (tiisg == 0) { + buf[sgitg] = max_val; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + max_val = buf[tiisg]; + max_val = simd_max(max_val); + } + + // parallel sum + float lsum = 0.0f; + for (int i00 = tpitg.x; i00 < args.ne00; i00 += tptg.x) { + const float exp_psrc0 = exp((psrc0[i00]*args.scale + (pmask ? slope*pmask[i00] : 0.0f)) - max_val); + lsum += exp_psrc0; + pdst[i00] = exp_psrc0; + } + + // This barrier fixes a failing test + // ref: https://github.com/ggml-org/ggml/pull/621#discussion_r1425156335 + threadgroup_barrier(mem_flags::mem_none); + + float sum = simd_sum(lsum); + + if (tptg.x > N_SIMDWIDTH) { + if (sgitg == 0) { + buf[tiisg] = 0.0f; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (tiisg == 0) { + buf[sgitg] = sum; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + sum = buf[tiisg]; + sum = simd_sum(sum); + } + + if (psrc2) { + sum += exp(psrc2[i02] - max_val); + } + + const float inv_sum = 1.0f/sum; + + for (int i00 = tpitg.x; i00 < args.ne00; i00 += tptg.x) { + pdst[i00] *= inv_sum; + } +} + +template +kernel void kernel_soft_max_4( + constant lm_ggml_metal_kargs_soft_max & args, + device const char * src0, + device const char * src1, + device const char * src2, + device char * dst, + threadgroup float * buf [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint sgitg[[simdgroup_index_in_threadgroup]], + uint tiisg[[thread_index_in_simdgroup]], + uint3 tptg[[threads_per_threadgroup]]) { + const int32_t i03 = tgpig.z; + const int32_t i02 = tgpig.y; + const int32_t i01 = tgpig.x; + + const int32_t i13 = i03%args.ne13; + const int32_t i12 = i02%args.ne12; + const int32_t i11 = i01; + + device const float4 * psrc4 = (device const float4 *) (src0 + i01*args.nb01 + i02*args.nb02 + i03*args.nb03); + device const T * pmask = src1 != src0 ? (device const T * ) (src1 + i11*args.nb11 + i12*args.nb12 + i13*args.nb13) : nullptr; + device const float * psrc2 = src2 != src0 ? (device const float * ) (src2) : nullptr; + device float4 * pdst4 = (device float4 *) (dst + i01*args.nb1 + i02*args.nb2 + i03*args.nb3); + + float slope = 1.0f; + + if (args.max_bias > 0.0f) { + const int32_t h = i02; + + const float base = h < args.n_head_log2 ? args.m0 : args.m1; + const int exp = h < args.n_head_log2 ? h + 1 : 2*(h - args.n_head_log2) + 1; + + slope = pow(base, exp); + } + + // parallel max + float4 lmax4 = psrc2 ? psrc2[i02] : -INFINITY; + + for (int i00 = tpitg.x; i00 < args.ne00/4; i00 += tptg.x) { + lmax4 = fmax(lmax4, psrc4[i00]*args.scale + (float4)((pmask ? slope*pmask[i00] : 0.0f))); + } + + const float lmax = MAX(MAX(lmax4[0], lmax4[1]), MAX(lmax4[2], lmax4[3])); + + float max_val = simd_max(lmax); + if (tptg.x > N_SIMDWIDTH) { + if (sgitg == 0) { + buf[tiisg] = -INFINITY; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (tiisg == 0) { + buf[sgitg] = max_val; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + max_val = buf[tiisg]; + max_val = simd_max(max_val); + } + + // parallel sum + float4 lsum4 = 0.0f; + for (int i00 = tpitg.x; i00 < args.ne00/4; i00 += tptg.x) { + const float4 exp_psrc4 = exp((psrc4[i00]*args.scale + (float4)((pmask ? slope*pmask[i00] : 0.0f))) - max_val); + lsum4 += exp_psrc4; + pdst4[i00] = exp_psrc4; + } + + const float lsum = lsum4[0] + lsum4[1] + lsum4[2] + lsum4[3]; + + // This barrier fixes a failing test + // ref: https://github.com/ggml-org/ggml/pull/621#discussion_r1425156335 + threadgroup_barrier(mem_flags::mem_none); + + float sum = simd_sum(lsum); + + if (tptg.x > N_SIMDWIDTH) { + if (sgitg == 0) { + buf[tiisg] = 0.0f; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (tiisg == 0) { + buf[sgitg] = sum; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + sum = buf[tiisg]; + sum = simd_sum(sum); + } + + if (psrc2) { + sum += exp(psrc2[i02] - max_val); + } + + const float inv_sum = 1.0f/sum; + + for (int i00 = tpitg.x; i00 < args.ne00/4; i00 += tptg.x) { + pdst4[i00] *= inv_sum; + } +} + +typedef decltype(kernel_soft_max) kernel_soft_max_t; +typedef decltype(kernel_soft_max_4) kernel_soft_max_4_t; + +template [[host_name("kernel_soft_max_f16")]] kernel kernel_soft_max_t kernel_soft_max; +template [[host_name("kernel_soft_max_f32")]] kernel kernel_soft_max_t kernel_soft_max; +template [[host_name("kernel_soft_max_f16_4")]] kernel kernel_soft_max_4_t kernel_soft_max_4; +template [[host_name("kernel_soft_max_f32_4")]] kernel kernel_soft_max_4_t kernel_soft_max_4; + +// ref: ggml.c:lm_ggml_compute_forward_ssm_conv_f32 +kernel void kernel_ssm_conv_f32_f32( + constant lm_ggml_metal_kargs_ssm_conv & args, + device const void * src0, + device const void * src1, + device float * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]) { + const int64_t ir = tgpig.x; + const int64_t i2 = tgpig.y; + const int64_t i3 = tgpig.z; + + const int64_t nc = args.ne10; + //const int64_t ncs = args.ne00; + //const int64_t nr = args.ne01; + //const int64_t n_t = args.ne1; + //const int64_t n_s = args.ne2; + + device const float * s = (device const float *) ((device const char *) src0 + ir*args.nb01 + i2*args.nb00 + i3*args.nb02); + device const float * c = (device const float *) ((device const char *) src1 + ir*args.nb11); + device float * x = (device float *) ((device char *) dst + ir*args.nb0 + i2*args.nb1 + i3*args.nb2); + + float sumf = 0.0f; + + for (int64_t i0 = 0; i0 < nc; ++i0) { + sumf += s[i0] * c[i0]; + } + + x[0] = sumf; +} + +kernel void kernel_ssm_conv_f32_f32_4( + constant lm_ggml_metal_kargs_ssm_conv & args, + device const void * src0, + device const void * src1, + device float * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]) { + const int64_t ir = tgpig.x; + const int64_t i2 = tgpig.y; + const int64_t i3 = tgpig.z; + + const int64_t nc = args.ne10; + //const int64_t ncs = args.ne00; + //const int64_t nr = args.ne01; + //const int64_t n_t = args.ne1; + //const int64_t n_s = args.ne2; + + device const float4 * s = (device const float4 *) ((device const char *) src0 + ir*args.nb01 + i2*args.nb00 + i3*args.nb02); + device const float4 * c = (device const float4 *) ((device const char *) src1 + ir*args.nb11); + device float * x = (device float *) ((device char *) dst + ir*args.nb0 + i2*args.nb1 + i3*args.nb2); + + float sumf = 0.0f; + + for (int64_t i0 = 0; i0 < nc/4; ++i0) { + sumf += dot(s[i0], c[i0]); + } + + x[0] = sumf; +} + +// ref: ggml.c:lm_ggml_compute_forward_ssm_scan_f32, Mamba-2 part +kernel void kernel_ssm_scan_f32( + constant lm_ggml_metal_kargs_ssm_scan & args, + device const void * src0, + device const void * src1, + device const void * src2, + device const void * src3, + device const void * src4, + device const void * src5, + device const void * src6, + device float * dst, + threadgroup float * shared [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgptg[[simdgroups_per_threadgroup]], + uint3 tgpg[[threadgroups_per_grid]]) { + constexpr short NW = N_SIMDWIDTH; + + shared[tpitg.x] = 0.0f; + + const int32_t i0 = tpitg.x; + const int32_t i1 = tgpig.x; + const int32_t ir = tgpig.y; // current head + const int32_t i3 = tgpig.z; // current seq + + const int32_t nc = args.d_state; + const int32_t nr = args.d_inner; + const int32_t nh = args.n_head; + const int32_t ng = args.n_group; + const int32_t n_t = args.n_seq_tokens; + + const int32_t s_off = args.s_off; + + device const int32_t * ids = (device const int32_t *) src6; + + device const float * s0_buff = (device const float *) ((device const char *) src0 + ir*args.nb02 + ids[i3]*args.nb03); + device float * s_buff = (device float *) ((device char *) dst + ir*args.nb02 + i3*args.nb03 + s_off); + + const int32_t i = i0 + i1*nc; + const int32_t g = ir / (nh / ng); // repeat_interleave + + float s0 = s0_buff[i]; + float s = 0.0f; + + device const float * A = (device const float *) ((device const char *) src3 + ir*args.nb31); // {ne30, nh} + + const float A0 = A[i0%args.ne30]; + + device const float * x = (device const float *)((device const char *) src1 + i1*args.nb10 + ir*args.nb11 + i3*args.nb13); // {dim, nh, nt, ns} + device const float * dt = (device const float *)((device const char *) src2 + ir*args.nb20 + i3*args.nb22); // {nh, nt, ns} + device const float * B = (device const float *)((device const char *) src4 + g*args.nb41 + i3*args.nb43); // {d_state, ng, nt, ns} + device const float * C = (device const float *)((device const char *) src5 + g*args.nb51 + i3*args.nb53); // {d_state, ng, nt, ns} + + device float * y = dst + (i1 + ir*(nr) + i3*(n_t*nh*nr)); // {dim, nh, nt, ns} + + for (int i2 = 0; i2 < n_t; i2 += sgptg) { + threadgroup_barrier(mem_flags::mem_threadgroup); + + for (int t = 0; t < sgptg && i2 + t < n_t; t++) { + const float dt0 = dt[0]; + const float dtsp = dt0 <= 20.0f ? log(1.0f + exp(dt0)) : dt0; + const float x_dt = x[0] * dtsp; + const float dA = exp(dtsp * A0); + + s = (s0 * dA) + (B[i0] * x_dt); + + const float sumf = simd_sum(s * C[i0]); + + if (tiisg == 0) { + shared[t*NW + sgitg] = sumf; + } + + // recurse + s0 = s; + + x += args.ns12; + dt += args.ns21; + B += args.ns42; + C += args.ns52; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + const float sumf = simd_sum(shared[sgitg*NW + tiisg]); + + if (tiisg == 0 && i2 + sgitg < n_t) { + y[sgitg*nh*nr] = sumf; + } + + y += sgptg*nh*nr; + } + + s_buff[i] = s; +} + +kernel void kernel_rwkv_wkv6_f32( + device const float * k, + device const float * v, + device const float * r, + device const float * tf, + device const float * td, + device const float * state_in, + device float * dst, + constant uint & B, + constant uint & T, + constant uint & C, + constant uint & H, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]) { + + const uint head_size = 64; // TODO: support head_size = 128 + const uint batch_id = tgpig.x / H; + const uint head_id = tgpig.x % H; + const uint tid = tpitg.x; + + if (batch_id >= B || head_id >= H) { + return; + } + + const uint state_size = C * head_size; + const uint n_seq_tokens = T / B; + + threadgroup float _k[head_size]; + threadgroup float _r[head_size]; + threadgroup float _tf[head_size]; + threadgroup float _td[head_size]; + + float state[head_size]; + + for (uint i = 0; i < head_size; i++) { + state[i] = state_in[batch_id * state_size + head_id * head_size * head_size + + i * head_size + tid]; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + _tf[tid] = tf[head_id * head_size + tid]; + threadgroup_barrier(mem_flags::mem_threadgroup); + + const uint start_t = batch_id * n_seq_tokens * C + head_id * head_size + tid; + const uint end_t = (batch_id + 1) * n_seq_tokens * C + head_id * head_size + tid; + + for (uint t = start_t; t < end_t; t += C) { + threadgroup_barrier(mem_flags::mem_threadgroup); + _k[tid] = k[t]; + _r[tid] = r[t]; + _td[tid] = td[t]; + threadgroup_barrier(mem_flags::mem_threadgroup); + + const float v_val = v[t]; + float y = 0.0; + + for (uint j = 0; j < head_size; j += 4) { + float4 k_vec = float4(_k[j], _k[j+1], _k[j+2], _k[j+3]); + float4 r_vec = float4(_r[j], _r[j+1], _r[j+2], _r[j+3]); + float4 tf_vec = float4(_tf[j], _tf[j+1], _tf[j+2], _tf[j+3]); + float4 td_vec = float4(_td[j], _td[j+1], _td[j+2], _td[j+3]); + float4 s_vec = float4(state[j], state[j+1], state[j+2], state[j+3]); + + float4 kv = k_vec * v_val; + + float4 temp = tf_vec * kv + s_vec; + y += dot(r_vec, temp); + + s_vec = s_vec * td_vec + kv; + state[j] = s_vec[0]; + state[j+1] = s_vec[1]; + state[j+2] = s_vec[2]; + state[j+3] = s_vec[3]; + } + + dst[t] = y; + } + + for (uint i = 0; i < head_size; i++) { + dst[T * C + batch_id * state_size + head_id * head_size * head_size + + i * head_size + tid] = state[i]; + } +} + +kernel void kernel_rwkv_wkv7_f32( + device const float * r, + device const float * w, + device const float * k, + device const float * v, + device const float * a, + device const float * b, + device const float * state_in, + device float * dst, + constant uint & B, + constant uint & T, + constant uint & C, + constant uint & H, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]) { + + const uint head_size = 64; // TODO: support head_size = 128 + const uint batch_id = tgpig.x / H; + const uint head_id = tgpig.x % H; + const uint tid = tpitg.x; + + if (batch_id >= B || head_id >= H) { + return; + } + + const uint state_size = C * head_size; + const uint n_seq_tokens = T / B; + + threadgroup float _r[head_size]; + threadgroup float _w[head_size]; + threadgroup float _k[head_size]; + threadgroup float _a[head_size]; + threadgroup float _b[head_size]; + + float state[head_size]; + + for (uint i = 0; i < head_size; i++) { + state[i] = state_in[batch_id * state_size + head_id * head_size * head_size + + tid * head_size + i]; + } + + const uint start_t = batch_id * n_seq_tokens * C + head_id * head_size + tid; + const uint end_t = (batch_id + 1) * n_seq_tokens * C + head_id * head_size + tid; + + for (uint t = start_t; t < end_t; t += C) { + threadgroup_barrier(mem_flags::mem_threadgroup); + _r[tid] = r[t]; + _w[tid] = w[t]; + _k[tid] = k[t]; + _a[tid] = a[t]; + _b[tid] = b[t]; + threadgroup_barrier(mem_flags::mem_threadgroup); + + const float v_val = v[t]; + float y = 0.0, sa = 0.0; + + float4 sa_vec(0.0); + + for (uint j = 0; j < head_size; j += 4) { + float4 a_vec = float4(_a[j], _a[j+1], _a[j+2], _a[j+3]); + float4 s_vec = float4(state[j], state[j+1], state[j+2], state[j+3]); + sa_vec += a_vec * s_vec; + } + sa = sa_vec[0] + sa_vec[1] + sa_vec[2] + sa_vec[3]; + + for (uint j = 0; j < head_size; j += 4) { + float4 r_vec = float4(_r[j], _r[j+1], _r[j+2], _r[j+3]); + float4 w_vec = float4(_w[j], _w[j+1], _w[j+2], _w[j+3]); + float4 k_vec = float4(_k[j], _k[j+1], _k[j+2], _k[j+3]); + float4 b_vec = float4(_b[j], _b[j+1], _b[j+2], _b[j+3]); + float4 s_vec = float4(state[j], state[j+1], state[j+2], state[j+3]); + + float4 kv = k_vec * v_val; + + s_vec = s_vec * w_vec + kv + sa * b_vec; + y += dot(s_vec, r_vec); + + state[j] = s_vec[0]; + state[j+1] = s_vec[1]; + state[j+2] = s_vec[2]; + state[j+3] = s_vec[3]; + } + + dst[t] = y; + } + + for (uint i = 0; i < head_size; i++) { + dst[T * C + batch_id * state_size + head_id * head_size * head_size + + tid * head_size + i] = state[i]; + } +} + +kernel void kernel_argmax_f32( + constant lm_ggml_metal_kargs_argmax & args, + device const char * src0, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint tgpig[[threadgroup_position_in_grid]], + uint tpitg[[thread_position_in_threadgroup]], + uint sgitg[[simdgroup_index_in_threadgroup]], + uint tiisg[[thread_index_in_simdgroup]], + uint ntg[[threads_per_threadgroup]]) { + device const float * x_row = (device const float *) ((device const char *) src0 + tgpig * args.nb01); + + float lmax = -INFINITY; + int32_t larg = -1; + + for (int i00 = tpitg; i00 < args.ne00; i00 += ntg) { + if (x_row[i00] > lmax) { + lmax = x_row[i00]; + larg = i00; + } + } + + // find the argmax value in the block + float max_val = simd_max(lmax); + int32_t arg_val = simd_max(select(-1, larg, lmax == max_val)); + + device int32_t * dst_i32 = (device int32_t *) dst; + + threadgroup float * shared_maxval = (threadgroup float *) shmem; + threadgroup int32_t * shared_argmax = (threadgroup int32_t *) shmem + N_SIMDWIDTH; + + if (ntg > N_SIMDWIDTH) { + if (sgitg == 0) { + shared_maxval[tiisg] = -INFINITY; + shared_argmax[tiisg] = -1; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (tiisg == 0) { + shared_maxval[sgitg] = max_val; + shared_argmax[sgitg] = arg_val; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + max_val = shared_maxval[tiisg]; + arg_val = shared_argmax[tiisg]; + + float max_val_reduced = simd_max(max_val); + int32_t arg_val_reduced = simd_max(select(-1, arg_val, max_val == max_val_reduced)); + + dst_i32[tgpig] = arg_val_reduced; + + return; + } + + dst_i32[tgpig] = arg_val; +} + +// F == 1 : norm (no fuse) +// F == 2 : norm + mul +// F == 3 : norm + mul + add +template +kernel void kernel_norm_fuse_impl( + constant lm_ggml_metal_kargs_norm & args, + device const char * src0, + device const char * src1_0, + device const char * src1_1, + device char * dst, + threadgroup float * shmem_f32 [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + if (sgitg == 0) { + shmem_f32[tiisg] = 0.0f; + } + + const int i01 = tgpig.x; + const int i02 = tgpig.y; + const int i03 = tgpig.z; + + device const T * x = (device const T *) (src0 + i03*args.nbf3[0] + i02*args.nbf2[0] + i01*args.nbf1[0]); + + device const T * f0 = (device const T *) (src1_0 + (i03%args.nef3[1])*args.nbf3[1] + (i02%args.nef2[1])*args.nbf2[1] + (i01%args.nef1[1])*args.nbf1[1]); + device const T * f1 = (device const T *) (src1_1 + (i03%args.nef3[2])*args.nbf3[2] + (i02%args.nef2[2])*args.nbf2[2] + (i01%args.nef1[2])*args.nbf1[2]); + + T sumft(0.0f); + + float sumf = 0.0f; + + for (int i00 = tpitg.x; i00 < args.ne00_t; i00 += ntg.x) { + sumft += x[i00]; + } + sumf = dot(sumft, T(1.0f)); + sumf = simd_sum(sumf); + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (tiisg == 0) { + shmem_f32[sgitg] = sumf; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + sumf = shmem_f32[tiisg]; + sumf = simd_sum(sumf); + + const float mean = sumf/args.ne00; + + device T * y = (device T *) (dst + i03*args.nb3 + i02*args.nb2 + i01*args.nb1); + + sumf = 0.0f; + for (int i00 = tpitg.x; i00 < args.ne00_t; i00 += ntg.x) { + y[i00] = x[i00] - mean; + sumf += dot(y[i00], y[i00]); + } + sumf = simd_sum(sumf); + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (tiisg == 0) { + shmem_f32[sgitg] = sumf; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + sumf = shmem_f32[tiisg]; + sumf = simd_sum(sumf); + + const float variance = sumf/args.ne00; + + const float scale = 1.0f/sqrt(variance + args.eps); + for (int i00 = tpitg.x; i00 < args.ne00_t; i00 += ntg.x) { + if (F == 1) { + y[i00] = (y[i00]*scale); + } + if (F == 2) { + y[i00] = (y[i00]*scale)*f0[i00]; + } + if (F == 3) { + y[i00] = (y[i00]*scale)*f0[i00] + f1[i00]; + } + } +} + +typedef decltype(kernel_norm_fuse_impl) kernel_norm_fuse_t; + +template [[host_name("kernel_norm_f32")]] kernel kernel_norm_fuse_t kernel_norm_fuse_impl; +template [[host_name("kernel_norm_mul_f32")]] kernel kernel_norm_fuse_t kernel_norm_fuse_impl; +template [[host_name("kernel_norm_mul_add_f32")]] kernel kernel_norm_fuse_t kernel_norm_fuse_impl; + +template [[host_name("kernel_norm_f32_4")]] kernel kernel_norm_fuse_t kernel_norm_fuse_impl; +template [[host_name("kernel_norm_mul_f32_4")]] kernel kernel_norm_fuse_t kernel_norm_fuse_impl; +template [[host_name("kernel_norm_mul_add_f32_4")]] kernel kernel_norm_fuse_t kernel_norm_fuse_impl; + +// F == 1 : rms_norm (no fuse) +// F == 2 : rms_norm + mul +// F == 3 : rms_norm + mul + add +template +kernel void kernel_rms_norm_fuse_impl( + constant lm_ggml_metal_kargs_norm & args, + device const char * src0, + device const char * src1_0, + device const char * src1_1, + device char * dst, + threadgroup float * shmem_f32 [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + if (sgitg == 0) { + shmem_f32[tiisg] = 0.0f; + } + + const int i01 = tgpig.x; + const int i02 = tgpig.y; + const int i03 = tgpig.z; + + device const T * x = (device const T *) (src0 + i03*args.nbf3[0] + i02*args.nbf2[0] + i01*args.nbf1[0]); + + device const T * f0 = (device const T *) (src1_0 + (i03%args.nef3[1])*args.nbf3[1] + (i02%args.nef2[1])*args.nbf2[1] + (i01%args.nef1[1])*args.nbf1[1]); + device const T * f1 = (device const T *) (src1_1 + (i03%args.nef3[2])*args.nbf3[2] + (i02%args.nef2[2])*args.nbf2[2] + (i01%args.nef1[2])*args.nbf1[2]); + + float sumf = 0.0f; + + // parallel sum + for (int i00 = tpitg.x; i00 < args.ne00_t; i00 += ntg.x) { + sumf += dot(x[i00], x[i00]); + } + sumf = simd_sum(sumf); + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (tiisg == 0) { + shmem_f32[sgitg] = sumf; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + sumf = shmem_f32[tiisg]; + sumf = simd_sum(sumf); + + const float mean = sumf/args.ne00; + const float scale = 1.0f/sqrt(mean + args.eps); + + device T * y = (device T *) (dst + i03*args.nb3 + i02*args.nb2 + i01*args.nb1); + for (int i00 = tpitg.x; i00 < args.ne00_t; i00 += ntg.x) { + if (F == 1) { + y[i00] = (x[i00]*scale); + } + if (F == 2) { + y[i00] = (x[i00]*scale)*f0[i00]; + } + if (F == 3) { + y[i00] = (x[i00]*scale)*f0[i00] + f1[i00]; + } + } +} + +typedef decltype(kernel_rms_norm_fuse_impl) kernel_rms_norm_fuse_t; + +template [[host_name("kernel_rms_norm_f32")]] kernel kernel_rms_norm_fuse_t kernel_rms_norm_fuse_impl; +template [[host_name("kernel_rms_norm_mul_f32")]] kernel kernel_rms_norm_fuse_t kernel_rms_norm_fuse_impl; +template [[host_name("kernel_rms_norm_mul_add_f32")]] kernel kernel_rms_norm_fuse_t kernel_rms_norm_fuse_impl; + +template [[host_name("kernel_rms_norm_f32_4")]] kernel kernel_rms_norm_fuse_t kernel_rms_norm_fuse_impl; +template [[host_name("kernel_rms_norm_mul_f32_4")]] kernel kernel_rms_norm_fuse_t kernel_rms_norm_fuse_impl; +template [[host_name("kernel_rms_norm_mul_add_f32_4")]] kernel kernel_rms_norm_fuse_t kernel_rms_norm_fuse_impl; + +kernel void kernel_l2_norm_f32( + constant lm_ggml_metal_kargs_l2_norm & args, + device const char * src0, + device char * dst, + threadgroup float * shmem_f32 [[threadgroup(0)]], + uint tgpig[[threadgroup_position_in_grid]], + ushort tpitg[[thread_position_in_threadgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort ntg[[threads_per_threadgroup]]) { + if (sgitg == 0) { + shmem_f32[tiisg] = 0.0f; + } + + device const float4 * x = (device const float4 *) (src0 + tgpig*args.nb01); + + float sumf = 0.0f; + + // parallel sum + for (int i00 = tpitg; i00 < args.ne00_4; i00 += ntg) { + sumf += dot(x[i00], x[i00]); + } + sumf = simd_sum(sumf); + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (tiisg == 0) { + shmem_f32[sgitg] = sumf; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + sumf = shmem_f32[tiisg]; + sumf = simd_sum(sumf); + + const float scale = 1.0f/sqrt(max(sumf, args.eps)); + + device float4 * y = (device float4 *) dst + tgpig*args.ne00_4; + for (int i00 = tpitg; i00 < args.ne00_4; i00 += ntg) { + y[i00] = x[i00] * scale; + } +} + +kernel void kernel_group_norm_f32( + constant lm_ggml_metal_kargs_group_norm & args, + device const float * src0, + device float * dst, + threadgroup float * buf [[threadgroup(0)]], + uint tgpig[[threadgroup_position_in_grid]], + uint tpitg[[thread_position_in_threadgroup]], + uint sgitg[[simdgroup_index_in_threadgroup]], + uint tiisg[[thread_index_in_simdgroup]], + uint ntg[[threads_per_threadgroup]]) { + const int64_t ne = args.ne00*args.ne01*args.ne02; + const int64_t gs = args.ne00*args.ne01*((args.ne02 + args.ngrp - 1) / args.ngrp); + + int start = tgpig * gs; + int end = start + gs; + + start += tpitg; + + if (end >= ne) { + end = ne; + } + + float tmp = 0.0f; // partial sum for thread in warp + + for (int j = start; j < end; j += ntg) { + tmp += src0[j]; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + tmp = simd_sum(tmp); + if (ntg > N_SIMDWIDTH) { + if (sgitg == 0) { + buf[tiisg] = 0.0f; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (tiisg == 0) { + buf[sgitg] = tmp; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + tmp = buf[tiisg]; + tmp = simd_sum(tmp); + } + + const float mean = tmp / gs; + tmp = 0.0f; + + for (int j = start; j < end; j += ntg) { + float xi = src0[j] - mean; + dst[j] = xi; + tmp += xi * xi; + } + + tmp = simd_sum(tmp); + if (ntg > N_SIMDWIDTH) { + if (sgitg == 0) { + buf[tiisg] = 0.0f; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (tiisg == 0) { + buf[sgitg] = tmp; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + tmp = buf[tiisg]; + tmp = simd_sum(tmp); + } + + const float variance = tmp / gs; + const float scale = 1.0f/sqrt(variance + args.eps); + for (int j = start; j < end; j += ntg) { + dst[j] *= scale; + } +} + +// function for calculate inner product between half a q4_0 block and 16 floats (yl), sumy is SUM(yl[i]) +// il indicates where the q4 quants begin (0 or QK4_0/4) +// we assume that the yl's have been multiplied with the appropriate scale factor +// that corresponds to the missing bit shifts (1, 1/16, 1/256, 1/4096) +inline float block_q_n_dot_y(device const block_q4_0 * qb_curr, float sumy, thread float * yl, int il) { + float d = qb_curr->d; + + float acc[4] = { 0.0f, 0.0f, 0.0f, 0.0f }; + + device const uint16_t * qs = ((device const uint16_t *) qb_curr + 1 + il/2); + + for (int i = 0; i < 8; i += 2) { + acc[0] += yl[i + 0] * (qs[i / 2] & 0x000F); + acc[1] += yl[i + 1] * (qs[i / 2] & 0x0F00); + acc[2] += yl[i + 8] * (qs[i / 2] & 0x00F0); + acc[3] += yl[i + 9] * (qs[i / 2] & 0xF000); + } + + return d * (sumy * -8.f + acc[0] + acc[1] + acc[2] + acc[3]); +} + +// function for calculate inner product between half a q4_1 block and 16 floats (yl), sumy is SUM(yl[i]) +// il indicates where the q4 quants begin (0 or QK4_0/4) +// we assume that the yl's have been multiplied with the appropriate scale factor +// that corresponds to the missing bit shifts (1, 1/16, 1/256, 1/4096) +inline float block_q_n_dot_y(device const block_q4_1 * qb_curr, float sumy, thread float * yl, int il) { + float d = qb_curr->d; + float m = qb_curr->m; + + float acc[4] = { 0.0f, 0.0f, 0.0f, 0.0f }; + + device const uint16_t * qs = ((device const uint16_t *) qb_curr + 2 + il/2); + + for (int i = 0; i < 8; i+=2) { + acc[0] += yl[i + 0] * (qs[i / 2] & 0x000F); + acc[1] += yl[i + 1] * (qs[i / 2] & 0x0F00); + acc[2] += yl[i + 8] * (qs[i / 2] & 0x00F0); + acc[3] += yl[i + 9] * (qs[i / 2] & 0xF000); + } + + return d * (acc[0] + acc[1] + acc[2] + acc[3]) + sumy * m; +} + +// function for calculate inner product between half a q5_0 block and 16 floats (yl), sumy is SUM(yl[i]) +// il indicates where the q5 quants begin (0 or QK5_0/4) +// we assume that the yl's have been multiplied with the appropriate scale factor +// that corresponds to the missing bit shifts (1, 1/16, 1/256, 1/4096) +inline float block_q_n_dot_y(device const block_q5_0 * qb_curr, float sumy, thread float * yl, int il) { + float d = qb_curr->d; + + float acc[4] = { 0.0f, 0.0f, 0.0f, 0.0f }; + + device const uint16_t * qs = ((device const uint16_t *)qb_curr + 3 + il/2); + const uint32_t qh = *((device const uint32_t *)qb_curr->qh); + + for (int i = 0; i < 8; i+=2) { + acc[0] += yl[i + 0] * ((qs[i / 2] & 0x000F) | ((qh >> (i+0+il ) << 4 ) & 0x00010)); + acc[1] += yl[i + 1] * ((qs[i / 2] & 0x0F00) | ((qh >> (i+1+il ) << 12) & 0x01000)); + acc[2] += yl[i + 8] * ((qs[i / 2] & 0x00F0) | ((qh >> (i+0+il+QK5_0/2) << 8 ) & 0x00100)); + acc[3] += yl[i + 9] * ((qs[i / 2] & 0xF000) | ((qh >> (i+1+il+QK5_0/2) << 16) & 0x10000)); + } + + return d * (sumy * -16.f + acc[0] + acc[1] + acc[2] + acc[3]); +} + +// function for calculate inner product between half a q5_1 block and 16 floats (yl), sumy is SUM(yl[i]) +// il indicates where the q5 quants begin (0 or QK5_1/4) +// we assume that the yl's have been multiplied with the appropriate scale factor +// that corresponds to the missing bit shifts (1, 1/16, 1/256, 1/4096) +inline float block_q_n_dot_y(device const block_q5_1 * qb_curr, float sumy, thread float * yl, int il) { + float d = qb_curr->d; + float m = qb_curr->m; + + float acc[4] = { 0.0f, 0.0f, 0.0f, 0.0f }; + + device const uint16_t * qs = ((device const uint16_t *)qb_curr + 4 + il/2); + const uint32_t qh = *((device const uint32_t *)qb_curr->qh); + + for (int i = 0; i < 8; i+=2) { + acc[0] += yl[i + 0] * ((qs[i / 2] & 0x000F) | ((qh >> (i+0+il ) << 4 ) & 0x00010)); + acc[1] += yl[i + 1] * ((qs[i / 2] & 0x0F00) | ((qh >> (i+1+il ) << 12) & 0x01000)); + acc[2] += yl[i + 8] * ((qs[i / 2] & 0x00F0) | ((qh >> (i+0+il+QK5_0/2) << 8 ) & 0x00100)); + acc[3] += yl[i + 9] * ((qs[i / 2] & 0xF000) | ((qh >> (i+1+il+QK5_0/2) << 16) & 0x10000)); + } + + return d * (acc[0] + acc[1] + acc[2] + acc[3]) + sumy * m; +} + +template +static inline void helper_mv_reduce_and_write( + device float * dst_f32, + float sumf[NR0], + const int r0, + const int ne01, + ushort tiisg, + ushort sgitg, + threadgroup char * shmem) { + constexpr short NW = N_SIMDWIDTH; + + threadgroup float * shmem_f32[NR0]; + + for (short row = 0; row < NR0; ++row) { + shmem_f32[row] = (threadgroup float *) shmem + NW*row; + + if (sgitg == 0) { + shmem_f32[row][tiisg] = 0.0f; + } + + sumf[row] = simd_sum(sumf[row]); + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + for (short row = 0; row < NR0; ++row) { + if (tiisg == 0) { + shmem_f32[row][sgitg] = sumf[row]; + } + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + for (short row = 0; row < NR0 && r0 + row < ne01; ++row) { + float tot = simd_sum(shmem_f32[row][tiisg]); + + if (tiisg == 0 && sgitg == 0) { + dst_f32[r0 + row] = tot; + } + } +} + +constant short FC_mul_mv_nsg [[function_constant(FC_MUL_MV + 0)]]; +constant short FC_mul_mv_nxpsg [[function_constant(FC_MUL_MV + 1)]]; + +template +void mul_vec_q_n_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + constexpr short NW = N_SIMDWIDTH; + constexpr short NQ = 16; + + const int nb = args.ne00/QK4_0; + + const int r0 = (tgpig.x*NSG + sgitg)*NR0; + //const int r0 = tgpig.x*NR0; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + //const uint64_t offset0 = r0*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + //device const block_q_type * x = (device const block_q_type *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + // pointers to src0 rows + device const block_q_type * ax[NR0]; + FOR_UNROLL (int row = 0; row < NR0; ++row) { + const uint64_t offset0 = (r0 + row)*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + + ax[row] = (device const block_q_type *) ((device char *) src0 + offset0); + } + + float sumf[NR0] = {0.f}; + + const short ix = (tiisg/(NW/NQ)); + const short il = (tiisg%(NW/NQ))*8; + + //const int ib0 = sgitg*NQ + ix; + const int ib0 = ix; + + float yl[16]; // src1 vector cache + + //device const float * yb = y + ix*QK4_0 + il; + device const float * yb = y + ib0*QK4_0 + il; + + // each thread in a SIMD group deals with half a block. + //for (int ib = ib0; ib < nb; ib += NSG*NQ) { + for (int ib = ib0; ib < nb; ib += NQ) { + float sumy[2] = { 0.f, 0.f }; + + FOR_UNROLL (short i = 0; i < 8; i += 2) { + sumy[0] += yb[i + 0] + yb[i + 1]; + yl[i + 0] = yb[i + 0]; + yl[i + 1] = yb[i + 1]/256.f; + + sumy[1] += yb[i + 16] + yb[i + 17]; + yl[i + 8] = yb[i + 16]/16.f; + yl[i + 9] = yb[i + 17]/4096.f; + } + + FOR_UNROLL (short row = 0; row < NR0; row++) { + sumf[row] += block_q_n_dot_y(ax[row] + ib, sumy[0] + sumy[1], yl, il); + } + + yb += QK4_0 * 16; + //yb += NSG*NQ*QK4_0; + } + + device float * dst_f32 = (device float *) dst + im*args.ne0*args.ne1 + r1*args.ne0; + + //helper_mv_reduce_and_write(dst_f32, sumf, r0, args.ne01, tiisg, sgitg, shmem); + + for (int row = 0; row < NR0; ++row) { + const float tot = simd_sum(sumf[row]); + + if (tiisg == 0 && r0 + row < args.ne01) { + dst_f32[r0 + row] = tot; + } + } +} + +kernel void kernel_mul_mv_q4_0_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + mul_vec_q_n_f32_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +kernel void kernel_mul_mv_q4_1_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + mul_vec_q_n_f32_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +kernel void kernel_mul_mv_q5_0_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + mul_vec_q_n_f32_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +kernel void kernel_mul_mv_q5_1_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + mul_vec_q_n_f32_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_q8_0_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + constexpr short NW = N_SIMDWIDTH; + constexpr short NQ = 8; + + const int nb = args.ne00/QK8_0; + + const int r0 = tgpig.x*NR0; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + //const uint64_t offset0 = r0*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + //device const block_q8_0 * x = (device const block_q8_0 *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + // pointers to src0 rows + device const block_q8_0 * ax[NR0]; + FOR_UNROLL (short row = 0; row < NR0; ++row) { + const uint64_t offset0 = (r0 + row)*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + + ax[row] = (device const block_q8_0 *) ((device char *) src0 + offset0); + } + + float sumf[NR0] = { 0.f }; + + const short ix = tiisg/(NW/NQ); + const short il = tiisg%(NW/NQ); + + const int ib0 = sgitg*NQ + ix; + + float yl[NQ]; + + device const float * yb = y + ib0*QK8_0 + il*NQ; + + // each thread in a SIMD group deals with NQ quants at a time + for (int ib = ib0; ib < nb; ib += NSG*NQ) { + for (short i = 0; i < NQ; ++i) { + yl[i] = yb[i]; + } + + for (short row = 0; row < NR0; row++) { + device const int8_t * qs = ax[row][ib].qs + il*NQ; + + float sumq = 0.f; + FOR_UNROLL (short i = 0; i < NQ; ++i) { + sumq += qs[i] * yl[i]; + } + + sumf[row] += sumq*ax[row][ib].d; + } + + yb += NSG*NQ*QK8_0; + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + helper_mv_reduce_and_write(dst_f32, sumf, r0, args.ne01, tiisg, sgitg, shmem); +} + +[[host_name("kernel_mul_mv_q8_0_f32")]] +kernel void kernel_mul_mv_q8_0_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + kernel_mul_mv_q8_0_f32_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +// mat-vec kernel processing in chunks of float4 +// chpb - chunks per quantization block +template +void kernel_mul_mv_ext_q4_f32_impl( + constant lm_ggml_metal_kargs_mul_mv_ext & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + const short NSG = FC_mul_mv_nsg; + const short nxpsg = FC_mul_mv_nxpsg; + + const short chpt = 4; // chunks per thread + + //const short nxpsg = (32); + const short nypsg = (32/nxpsg); + + const short tx = tiisg%nxpsg; + const short ty = tiisg/nxpsg; + + const int i01 = tgpig.x*(nypsg*NSG) + nypsg*sgitg + ty; + const int i11 = tgpig.y*r1ptg; + const int i1m = tgpig.z; + + const int i12 = i1m%args.ne12; + const int i13 = i1m/args.ne12; + + const uint64_t offset0 = i01*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = i11*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const q_t * xq = (i01 < args.ne01) ? (device const q_t *) (src0 + offset0) + tx/chpb : (device const q_t *) src0; + + device const float4 * y4[r1ptg]; + + for (int ir1 = 0; ir1 < r1ptg; ++ir1) { + y4[ir1] = (i11 + ir1 < args.ne11) ? (device const float4 *) (src1 + offset1 + ir1*args.nb11) + tx : (device const float4 *) src1; + } + + float sumf[r1ptg] = { [ 0 ... r1ptg - 1 ] = 0.0f }; + + short cch = tx%chpb; // current chunk index + + for (int ich = tx; 4*ich < args.ne00; ich += chpt*nxpsg) { + float4 lx[chpt]; + +#pragma unroll(chpt) + for (short ch = 0; ch < chpt; ++ch) { + deq_t4(xq, cch, lx[ch]); + + cch += nxpsg; + if (cch >= chpb) { + xq += cch/chpb; + cch %= chpb; + } + } + +#pragma unroll(chpt) + for (short ch = 0; ch < chpt; ++ch) { +#pragma unroll(r1ptg) + for (short ir1 = 0; ir1 < r1ptg; ++ir1) { + sumf[ir1] += dot(lx[ch], y4[ir1][ch*nxpsg]); + } + } + +#pragma unroll(r1ptg) + for (short ir1 = 0; ir1 < r1ptg; ++ir1) { + y4[ir1] += chpt*nxpsg; + } + } + + // reduce only the threads in each row + for (short ir1 = 0; ir1 < r1ptg; ++ir1) { + if (nxpsg >= 32) { + sumf[ir1] += simd_shuffle_down(sumf[ir1], 16); + } + if (nxpsg >= 16) { + sumf[ir1] += simd_shuffle_down(sumf[ir1], 8); + } + if (nxpsg >= 8) { + sumf[ir1] += simd_shuffle_down(sumf[ir1], 4); + } + if (nxpsg >= 4) { + sumf[ir1] += simd_shuffle_down(sumf[ir1], 2); + } + if (nxpsg >= 2) { + sumf[ir1] += simd_shuffle_down(sumf[ir1], 1); + } + + //sumf[ir1] = simd_sum(sumf[ir1]); + } + + if (tx == 0) { + for (short ir1 = 0; ir1 < r1ptg && i11 + ir1 < args.ne11; ++ir1) { + device float * dst_f32 = (device float *) dst + (uint64_t)i1m*args.ne0*args.ne1 + (uint64_t)(i11 + ir1)*args.ne0; + + if (i01 < args.ne01) { + dst_f32[i01] = sumf[ir1]; + } + } + } +} + +// mat-vec kernel processing in chunks of float4x4 +template +void kernel_mul_mv_ext_q4x4_f32_impl( + constant lm_ggml_metal_kargs_mul_mv_ext & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + const short NSG = FC_mul_mv_nsg; + const short nxpsg = FC_mul_mv_nxpsg; + + const short chpt = 1; + + //const short nxpsg = (32); + const short nypsg = (32/nxpsg); + + const short tx = tiisg%nxpsg; + const short ty = tiisg/nxpsg; + + const int i01 = tgpig.x*(nypsg*NSG) + nypsg*sgitg + ty; + const int i11 = tgpig.y*r1ptg; + const int i1m = tgpig.z; + + const int i12 = i1m%args.ne12; + const int i13 = i1m/args.ne12; + + const uint64_t offset0 = i01*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = i11*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const q_t * xq = (i01 < args.ne01) ? (device const q_t *) (src0 + offset0) + tx/chpb : (device const q_t *) src0; + + device const float4x4 * y4x4[r1ptg]; + + for (int ir1 = 0; ir1 < r1ptg; ++ir1) { + y4x4[ir1] = (i11 + ir1 < args.ne11) ? (device const float4x4 *) (src1 + offset1 + ir1*args.nb11) + tx : (device const float4x4 *) src1; + } + + float sumf[r1ptg] = { [ 0 ... r1ptg - 1 ] = 0.0f }; + + short cch = tx%chpb; + + for (int ich = tx; 16*ich < args.ne00; ich += chpt*nxpsg) { + float4x4 lx[chpt]; + +#pragma unroll(chpt) + for (short ch = 0; ch < chpt; ++ch) { + deq_t4x4(xq, cch, lx[ch]); + + cch += nxpsg; + if (cch >= chpb) { + xq += cch/chpb; + cch %= chpb; + } + } + +#pragma unroll(chpt) + for (short ch = 0; ch < chpt; ++ch) { +#pragma unroll(r1ptg) + for (short ir1 = 0; ir1 < r1ptg; ++ir1) { + sumf[ir1] += + dot(lx[ch][0], y4x4[ir1][ch*nxpsg][0]) + + dot(lx[ch][1], y4x4[ir1][ch*nxpsg][1]) + + dot(lx[ch][2], y4x4[ir1][ch*nxpsg][2]) + + dot(lx[ch][3], y4x4[ir1][ch*nxpsg][3]); + + } + } + +#pragma unroll(r1ptg) + for (short ir1 = 0; ir1 < r1ptg; ++ir1) { + y4x4[ir1] += chpt*nxpsg; + } + } + + for (short ir1 = 0; ir1 < r1ptg; ++ir1) { + if (nxpsg >= 32) { + sumf[ir1] += simd_shuffle_down(sumf[ir1], 16); + } + if (nxpsg >= 16) { + sumf[ir1] += simd_shuffle_down(sumf[ir1], 8); + } + if (nxpsg >= 8) { + sumf[ir1] += simd_shuffle_down(sumf[ir1], 4); + } + if (nxpsg >= 4) { + sumf[ir1] += simd_shuffle_down(sumf[ir1], 2); + } + if (nxpsg >= 2) { + sumf[ir1] += simd_shuffle_down(sumf[ir1], 1); + } + + //sumf[ir1] = simd_sum(sumf[ir1]); + } + + if (tx == 0) { + for (short ir1 = 0; ir1 < r1ptg && i11 + ir1 < args.ne11; ++ir1) { + device float * dst_f32 = (device float *) dst + (uint64_t)i1m*args.ne0*args.ne1 + (uint64_t)(i11 + ir1)*args.ne0; + + if (i01 < args.ne01) { + dst_f32[i01] = sumf[ir1]; + } + } + } +} + +// dispatchers needed for compile-time nxpsg +// epb - elements per quantization block +template +kernel void kernel_mul_mv_ext_q4_f32_disp( + constant lm_ggml_metal_kargs_mul_mv_ext & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + kernel_mul_mv_ext_q4_f32_impl(args, src0, src1, dst, tgpig, tiisg, sgitg); +} + +template +kernel void kernel_mul_mv_ext_q4x4_f32_disp( + constant lm_ggml_metal_kargs_mul_mv_ext & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + kernel_mul_mv_ext_q4x4_f32_impl(args, src0, src1, dst, tgpig, tiisg, sgitg); +} + +typedef decltype(kernel_mul_mv_ext_q4_f32_disp <2, block_q8_0, 32, dequantize_q8_0_t4>) mul_mv_ext_q4_f32_t; +typedef decltype(kernel_mul_mv_ext_q4x4_f32_disp<2, block_q4_K, 256, dequantize_q4_K>) mul_mv_ext_q4x4_f32_t; + +template [[host_name("kernel_mul_mv_ext_f32_f32_r1_2")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<2, float4, 4, dequantize_f32_t4>; +template [[host_name("kernel_mul_mv_ext_f32_f32_r1_3")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<3, float4, 4, dequantize_f32_t4>; +template [[host_name("kernel_mul_mv_ext_f32_f32_r1_4")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<4, float4, 4, dequantize_f32_t4>; +template [[host_name("kernel_mul_mv_ext_f32_f32_r1_5")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<5, float4, 4, dequantize_f32_t4>; + +template [[host_name("kernel_mul_mv_ext_f16_f32_r1_2")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<2, half4, 4, dequantize_f16_t4>; +template [[host_name("kernel_mul_mv_ext_f16_f32_r1_3")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<3, half4, 4, dequantize_f16_t4>; +template [[host_name("kernel_mul_mv_ext_f16_f32_r1_4")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<4, half4, 4, dequantize_f16_t4>; +template [[host_name("kernel_mul_mv_ext_f16_f32_r1_5")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<5, half4, 4, dequantize_f16_t4>; + +template [[host_name("kernel_mul_mv_ext_q4_0_f32_r1_2")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<2, block_q4_0, 32, dequantize_q4_0_t4>; +template [[host_name("kernel_mul_mv_ext_q4_0_f32_r1_3")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<3, block_q4_0, 32, dequantize_q4_0_t4>; +template [[host_name("kernel_mul_mv_ext_q4_0_f32_r1_4")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<4, block_q4_0, 32, dequantize_q4_0_t4>; +template [[host_name("kernel_mul_mv_ext_q4_0_f32_r1_5")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<5, block_q4_0, 32, dequantize_q4_0_t4>; + +template [[host_name("kernel_mul_mv_ext_q4_1_f32_r1_2")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<2, block_q4_1, 32, dequantize_q4_1_t4>; +template [[host_name("kernel_mul_mv_ext_q4_1_f32_r1_3")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<3, block_q4_1, 32, dequantize_q4_1_t4>; +template [[host_name("kernel_mul_mv_ext_q4_1_f32_r1_4")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<4, block_q4_1, 32, dequantize_q4_1_t4>; +template [[host_name("kernel_mul_mv_ext_q4_1_f32_r1_5")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<5, block_q4_1, 32, dequantize_q4_1_t4>; + +template [[host_name("kernel_mul_mv_ext_q5_0_f32_r1_2")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<2, block_q5_0, 32, dequantize_q5_0_t4>; +template [[host_name("kernel_mul_mv_ext_q5_0_f32_r1_3")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<3, block_q5_0, 32, dequantize_q5_0_t4>; +template [[host_name("kernel_mul_mv_ext_q5_0_f32_r1_4")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<4, block_q5_0, 32, dequantize_q5_0_t4>; +template [[host_name("kernel_mul_mv_ext_q5_0_f32_r1_5")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<5, block_q5_0, 32, dequantize_q5_0_t4>; + +template [[host_name("kernel_mul_mv_ext_q5_1_f32_r1_2")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<2, block_q5_1, 32, dequantize_q5_1_t4>; +template [[host_name("kernel_mul_mv_ext_q5_1_f32_r1_3")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<3, block_q5_1, 32, dequantize_q5_1_t4>; +template [[host_name("kernel_mul_mv_ext_q5_1_f32_r1_4")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<4, block_q5_1, 32, dequantize_q5_1_t4>; +template [[host_name("kernel_mul_mv_ext_q5_1_f32_r1_5")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<5, block_q5_1, 32, dequantize_q5_1_t4>; + +template [[host_name("kernel_mul_mv_ext_q8_0_f32_r1_2")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<2, block_q8_0, 32, dequantize_q8_0_t4>; +template [[host_name("kernel_mul_mv_ext_q8_0_f32_r1_3")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<3, block_q8_0, 32, dequantize_q8_0_t4>; +template [[host_name("kernel_mul_mv_ext_q8_0_f32_r1_4")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<4, block_q8_0, 32, dequantize_q8_0_t4>; +template [[host_name("kernel_mul_mv_ext_q8_0_f32_r1_5")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<5, block_q8_0, 32, dequantize_q8_0_t4>; + +template [[host_name("kernel_mul_mv_ext_mxfp4_f32_r1_2")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<2, block_mxfp4, 32, dequantize_mxfp4_t4>; +template [[host_name("kernel_mul_mv_ext_mxfp4_f32_r1_3")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<3, block_mxfp4, 32, dequantize_mxfp4_t4>; +template [[host_name("kernel_mul_mv_ext_mxfp4_f32_r1_4")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<4, block_mxfp4, 32, dequantize_mxfp4_t4>; +template [[host_name("kernel_mul_mv_ext_mxfp4_f32_r1_5")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<5, block_mxfp4, 32, dequantize_mxfp4_t4>; + +template [[host_name("kernel_mul_mv_ext_iq4_nl_f32_r1_2")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<2, block_iq4_nl, 32, dequantize_iq4_nl_t4>; +template [[host_name("kernel_mul_mv_ext_iq4_nl_f32_r1_3")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<3, block_iq4_nl, 32, dequantize_iq4_nl_t4>; +template [[host_name("kernel_mul_mv_ext_iq4_nl_f32_r1_4")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<4, block_iq4_nl, 32, dequantize_iq4_nl_t4>; +template [[host_name("kernel_mul_mv_ext_iq4_nl_f32_r1_5")]] kernel mul_mv_ext_q4_f32_t kernel_mul_mv_ext_q4_f32_disp<5, block_iq4_nl, 32, dequantize_iq4_nl_t4>; + +template [[host_name("kernel_mul_mv_ext_q4_K_f32_r1_2")]] kernel mul_mv_ext_q4x4_f32_t kernel_mul_mv_ext_q4x4_f32_disp<2, block_q4_K, 256, dequantize_q4_K>; +template [[host_name("kernel_mul_mv_ext_q4_K_f32_r1_3")]] kernel mul_mv_ext_q4x4_f32_t kernel_mul_mv_ext_q4x4_f32_disp<3, block_q4_K, 256, dequantize_q4_K>; +template [[host_name("kernel_mul_mv_ext_q4_K_f32_r1_4")]] kernel mul_mv_ext_q4x4_f32_t kernel_mul_mv_ext_q4x4_f32_disp<4, block_q4_K, 256, dequantize_q4_K>; +template [[host_name("kernel_mul_mv_ext_q4_K_f32_r1_5")]] kernel mul_mv_ext_q4x4_f32_t kernel_mul_mv_ext_q4x4_f32_disp<5, block_q4_K, 256, dequantize_q4_K>; + +template [[host_name("kernel_mul_mv_ext_q5_K_f32_r1_2")]] kernel mul_mv_ext_q4x4_f32_t kernel_mul_mv_ext_q4x4_f32_disp<2, block_q5_K, 256, dequantize_q5_K>; +template [[host_name("kernel_mul_mv_ext_q5_K_f32_r1_3")]] kernel mul_mv_ext_q4x4_f32_t kernel_mul_mv_ext_q4x4_f32_disp<3, block_q5_K, 256, dequantize_q5_K>; +template [[host_name("kernel_mul_mv_ext_q5_K_f32_r1_4")]] kernel mul_mv_ext_q4x4_f32_t kernel_mul_mv_ext_q4x4_f32_disp<4, block_q5_K, 256, dequantize_q5_K>; +template [[host_name("kernel_mul_mv_ext_q5_K_f32_r1_5")]] kernel mul_mv_ext_q4x4_f32_t kernel_mul_mv_ext_q4x4_f32_disp<5, block_q5_K, 256, dequantize_q5_K>; + +template [[host_name("kernel_mul_mv_ext_q6_K_f32_r1_2")]] kernel mul_mv_ext_q4x4_f32_t kernel_mul_mv_ext_q4x4_f32_disp<2, block_q6_K, 256, dequantize_q6_K>; +template [[host_name("kernel_mul_mv_ext_q6_K_f32_r1_3")]] kernel mul_mv_ext_q4x4_f32_t kernel_mul_mv_ext_q4x4_f32_disp<3, block_q6_K, 256, dequantize_q6_K>; +template [[host_name("kernel_mul_mv_ext_q6_K_f32_r1_4")]] kernel mul_mv_ext_q4x4_f32_t kernel_mul_mv_ext_q4x4_f32_disp<4, block_q6_K, 256, dequantize_q6_K>; +template [[host_name("kernel_mul_mv_ext_q6_K_f32_r1_5")]] kernel mul_mv_ext_q4x4_f32_t kernel_mul_mv_ext_q4x4_f32_disp<5, block_q6_K, 256, dequantize_q6_K>; + +template +void kernel_mul_mv_t_t_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + constexpr short NW = N_SIMDWIDTH; + constexpr short NB = 32; + constexpr short NF = 8; + + const int nb = args.ne00/NB; + + const int r0 = tgpig.x*NR0; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + //const uint64_t offset0 = r0*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + //device const T0 * x = (device const T0 *) (src0 + offset0); + device const T1 * y = (device const T1 *) (src1 + offset1); + + // pointers to src0 rows + device const T0 * ax [NR0]; + FOR_UNROLL (short row = 0; row < NR0; ++row) { + const uint64_t offset0 = (r0 + row)*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + + ax[row] = (device const T0 *) ((device char *) src0 + offset0); + } + + float sumf[NR0] = { 0.f }; + + const short ix = tiisg/(NW/NF); + const short il = tiisg%(NW/NF); + + const int ib0 = sgitg*NF + ix; + + T1 yl[NF]; + + device const T1 * yb = y + (ib0*NB + il*NF); + + for (int ib = ib0; ib < nb; ib += NSG*NF) { + for (short i = 0; i < NF; ++i) { + yl[i] = yb[i]; + } + + for (short row = 0; row < NR0; row++) { + device const T0 * xb = ax[row] + (ib*NB + il*NF); + + float sumq = 0.f; + FOR_UNROLL (short i = 0; i < NF; ++i) { + sumq += xb[i] * yl[i]; + } + + sumf[row] += sumq; + } + + yb += NSG*NF*NW; + } + + for (int i = nb*NB + sgitg*NW + tiisg; i < args.ne00; i += NW*NSG) { + for (short row = 0; row < NR0; row++) { + sumf[row] += ax[row][i] * y[i]; + } + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + helper_mv_reduce_and_write(dst_f32, sumf, r0, args.ne01, tiisg, sgitg, shmem); +} + +template +void kernel_mul_mv_t_t_disp( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + switch (args.nr0) { + //case 1: kernel_mul_mv_t_t_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); break; + case 2: kernel_mul_mv_t_t_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); break; + //case 3: kernel_mul_mv_t_t_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); break; + //case 4: kernel_mul_mv_t_t_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); break; + } +} + +template +kernel void kernel_mul_mv_t_t( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + kernel_mul_mv_t_t_disp(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +typedef decltype(kernel_mul_mv_t_t) mul_mv_t_t; + +template [[host_name("kernel_mul_mv_f32_f32")]] kernel mul_mv_t_t kernel_mul_mv_t_t; +template [[host_name("kernel_mul_mv_f16_f32")]] kernel mul_mv_t_t kernel_mul_mv_t_t; +template [[host_name("kernel_mul_mv_f16_f16")]] kernel mul_mv_t_t kernel_mul_mv_t_t; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_mul_mv_bf16_f32")]] kernel mul_mv_t_t kernel_mul_mv_t_t; +template [[host_name("kernel_mul_mv_bf16_bf16")]] kernel mul_mv_t_t kernel_mul_mv_t_t; +#endif + +template +void kernel_mul_mv_t_t_4_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + constexpr short NW = N_SIMDWIDTH; + constexpr short NB = 32; + constexpr short NF = 16; + constexpr short NF4 = NF/4; + + const int nb = args.ne00/NB; + + const int r0 = tgpig.x*NR0; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + //const uint64_t offset0 = r0*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const T1 * y = (device const T1 *) (src1 + offset1); + device const T14 * y4 = (device const T14 *) (src1 + offset1); + + // pointers to src0 rows + device const T0 * ax [NR0]; + device const T04 * ax4[NR0]; + FOR_UNROLL (short row = 0; row < NR0; ++row) { + const uint64_t offset0 = (r0 + row)*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + + ax [row] = (device const T0 *) ((device char *) src0 + offset0); + ax4[row] = (device const T04 *) ((device char *) src0 + offset0); + } + + float sumf[NR0] = { 0.f }; + + const short ix = tiisg/(NW/NF); + const short il = tiisg%(NW/NF); + + const int ib0 = sgitg*NF + ix; + + T14 yl4[NF4]; + + device const T14 * yb4 = y4 + (ib0*NB + il*NF)/4; + + for (int ib = ib0; ib < nb; ib += NSG*NF) { + for (short i = 0; i < NF4; ++i) { + yl4[i] = yb4[i]; + } + + for (short row = 0; row < NR0; row++) { + device const T04 * xb4 = ax4[row] + (ib*NB + il*NF)/4; + + float sumq = 0.f; + FOR_UNROLL (short i = 0; i < NF4; ++i) { + sumq += dot(float4(xb4[i]), float4(yl4[i])); + } + + sumf[row] += sumq; + } + + yb4 += NSG*NF*NW/4; + } + + for (int i = nb*NB + sgitg*NW + tiisg; i < args.ne00; i += NW*NSG) { + for (short row = 0; row < NR0; row++) { + sumf[row] += ax[row][i] * y[i]; + } + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + helper_mv_reduce_and_write(dst_f32, sumf, r0, args.ne01, tiisg, sgitg, shmem); +} + +template +void kernel_mul_mv_t_t_4_disp( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + switch (args.nr0) { + //case 1: kernel_mul_mv_t_t_4_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); break; + case 2: kernel_mul_mv_t_t_4_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); break; + //case 3: kernel_mul_mv_t_t_4_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); break; + //case 4: kernel_mul_mv_t_t_4_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); break; + }; +} + +template +kernel void kernel_mul_mv_t_t_4( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + kernel_mul_mv_t_t_4_disp(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +typedef decltype(kernel_mul_mv_t_t_4) mul_mv_t_t_4; + +template [[host_name("kernel_mul_mv_f32_f32_4")]] kernel mul_mv_t_t_4 kernel_mul_mv_t_t_4; +template [[host_name("kernel_mul_mv_f16_f32_4")]] kernel mul_mv_t_t_4 kernel_mul_mv_t_t_4; +template [[host_name("kernel_mul_mv_f16_f16_4")]] kernel mul_mv_t_t_4 kernel_mul_mv_t_t_4; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_mul_mv_bf16_f32_4")]] kernel mul_mv_t_t_4 kernel_mul_mv_t_t_4; +template [[host_name("kernel_mul_mv_bf16_bf16_4")]] kernel mul_mv_t_t_4 kernel_mul_mv_t_t_4; +#endif + +template +void kernel_mul_mv_t_t_short_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig, + ushort tiisg) { + const int r0 = tgpig.x*32 + tiisg; + const int r1 = tgpig.y; + const int im = tgpig.z; + + if (r0 >= args.ne01) { + return; + } + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = r0*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + + device const T0 * x = (device const T0 *) (src0 + offset0); + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1; + + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const T1 * y = (device const T1 *) (src1 + offset1); + + float res = 0.0f; + + for (int i = 0; i < args.ne00; ++i) { + res += (float) x[i] * (float) y[i]; + } + + dst_f32[(uint64_t)r1*args.ne0 + r0] = res; +} + +template +kernel void kernel_mul_mv_t_t_short( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]]) { + kernel_mul_mv_t_t_short_impl( + args, + src0, + src1, + dst, + tgpig, + tiisg); +} + +typedef decltype(kernel_mul_mv_t_t_short) mul_mv_t_t_short_t; + +template [[host_name("kernel_mul_mv_f32_f32_short")]] kernel mul_mv_t_t_short_t kernel_mul_mv_t_t_short; +template [[host_name("kernel_mul_mv_f16_f32_short")]] kernel mul_mv_t_t_short_t kernel_mul_mv_t_t_short; +template [[host_name("kernel_mul_mv_f16_f16_short")]] kernel mul_mv_t_t_short_t kernel_mul_mv_t_t_short; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_mul_mv_bf16_f32_short")]] kernel mul_mv_t_t_short_t kernel_mul_mv_t_t_short; +template [[host_name("kernel_mul_mv_bf16_bf16_short")]] kernel mul_mv_t_t_short_t kernel_mul_mv_t_t_short; +#endif + +constant bool FC_rope_is_imrope [[function_constant(FC_ROPE + 0)]]; + +static float rope_yarn_ramp(const float low, const float high, const int i0) { + const float y = (i0 / 2 - low) / max(0.001f, high - low); + return 1.0f - min(1.0f, max(0.0f, y)); +} + +// YaRN algorithm based on LlamaYaRNScaledRotaryEmbedding.py from https://github.com/jquesnelle/yarn +// MIT licensed. Copyright (c) 2023 Jeffrey Quesnelle and Bowen Peng. +static void rope_yarn( + float theta_extrap, float freq_scale, float corr_dims[2], int i0, float ext_factor, float mscale, + thread float * cos_theta, thread float * sin_theta) { + // Get n-d rotational scaling corrected for extrapolation + float theta_interp = freq_scale * theta_extrap; + float theta = theta_interp; + if (ext_factor != 0.0f) { + float ramp_mix = rope_yarn_ramp(corr_dims[0], corr_dims[1], i0) * ext_factor; + theta = theta_interp * (1 - ramp_mix) + theta_extrap * ramp_mix; + + // Get n-d magnitude scaling corrected for interpolation + mscale *= 1.0f + 0.1f * log(1.0f / freq_scale); + } + *cos_theta = cos(theta) * mscale; + *sin_theta = sin(theta) * mscale; +} + +// Apparently solving `n_rot = 2pi * x * base^((2 * max_pos_emb) / n_dims)` for x, we get +// `corr_fac(n_rot) = n_dims * log(max_pos_emb / (n_rot * 2pi)) / (2 * log(base))` +static float rope_yarn_corr_factor(int n_dims, int n_ctx_orig, float n_rot, float base) { + return n_dims * log(n_ctx_orig / (n_rot * 2 * M_PI_F)) / (2 * log(base)); +} + +static void rope_yarn_corr_dims( + int n_dims, int n_ctx_orig, float freq_base, float beta_fast, float beta_slow, float dims[2] +) { + // start and end correction dims + dims[0] = max(0.0f, floor(rope_yarn_corr_factor(n_dims, n_ctx_orig, beta_fast, freq_base))); + dims[1] = min(n_dims - 1.0f, ceil(rope_yarn_corr_factor(n_dims, n_ctx_orig, beta_slow, freq_base))); +} + +template +kernel void kernel_rope_norm( + constant lm_ggml_metal_kargs_rope & args, + device const char * src0, + device const char * src1, + device const char * src2, + device char * dst, + ushort tiitg[[thread_index_in_threadgroup]], + ushort3 tptg [[threads_per_threadgroup]], + uint3 tgpig[[threadgroup_position_in_grid]]) { + const int i3 = tgpig[2]; + const int i2 = tgpig[1]; + const int i1 = tgpig[0]; + + float corr_dims[2]; + rope_yarn_corr_dims(args.n_dims, args.n_ctx_orig, args.freq_base, args.beta_fast, args.beta_slow, corr_dims); + + device const int32_t * pos = (device const int32_t *) src1; + + const float theta_base = (float) pos[i2]; + const float inv_ndims = -1.f/args.n_dims; + + float cos_theta; + float sin_theta; + + for (int i0 = 2*tiitg; i0 < args.ne0; i0 += 2*tptg.x) { + if (i0 < args.n_dims) { + const int ic = i0/2; + + const float theta = theta_base * pow(args.freq_base, inv_ndims*i0); + + const float freq_factor = args.src2 ? ((device const float *) src2)[ic] : 1.0f; + + rope_yarn(theta/freq_factor, args.freq_scale, corr_dims, i0, args.ext_factor, args.attn_factor, &cos_theta, &sin_theta); + + device const T * const src = (device T *)(src0 + i3*args.nb03 + i2*args.nb02 + i1*args.nb01 + i0*args.nb00); + device T * dst_data = (device T *)( dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1 + i0*args.nb0); + + const float x0 = src[0]; + const float x1 = src[1]; + + dst_data[0] = x0*cos_theta - x1*sin_theta; + dst_data[1] = x0*sin_theta + x1*cos_theta; + } else { + device const T * const src = (device T *)(src0 + i3*args.nb03 + i2*args.nb02 + i1*args.nb01 + i0*args.nb00); + device T * dst_data = (device T *)( dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1 + i0*args.nb0); + + dst_data[0] = src[0]; + dst_data[1] = src[1]; + } + } +} + +template +kernel void kernel_rope_neox( + constant lm_ggml_metal_kargs_rope & args, + device const char * src0, + device const char * src1, + device const char * src2, + device char * dst, + ushort tiitg[[thread_index_in_threadgroup]], + ushort3 tptg [[threads_per_threadgroup]], + uint3 tgpig[[threadgroup_position_in_grid]]) { + const int i3 = tgpig[2]; + const int i2 = tgpig[1]; + const int i1 = tgpig[0]; + + float corr_dims[2]; + rope_yarn_corr_dims(args.n_dims, args.n_ctx_orig, args.freq_base, args.beta_fast, args.beta_slow, corr_dims); + + device const int32_t * pos = (device const int32_t *) src1; + + const float theta_base = (float) pos[i2]; + const float inv_ndims = -1.f/args.n_dims; + + float cos_theta; + float sin_theta; + + for (int i0 = 2*tiitg; i0 < args.ne0; i0 += 2*tptg.x) { + if (i0 < args.n_dims) { + const int ic = i0/2; + + const float theta = theta_base * pow(args.freq_base, inv_ndims*i0); + + const float freq_factor = args.src2 ? ((device const float *) src2)[ic] : 1.0f; + + rope_yarn(theta/freq_factor, args.freq_scale, corr_dims, i0, args.ext_factor, args.attn_factor, &cos_theta, &sin_theta); + + device const T * const src = (device T *)(src0 + i3*args.nb03 + i2*args.nb02 + i1*args.nb01 + ic*args.nb00); + device T * dst_data = (device T *)( dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1 + ic*args.nb0); + + const float x0 = src[0]; + const float x1 = src[args.n_dims/2]; + + dst_data[0] = x0*cos_theta - x1*sin_theta; + dst_data[args.n_dims/2] = x0*sin_theta + x1*cos_theta; + } else { + device const T * const src = (device T *)(src0 + i3*args.nb03 + i2*args.nb02 + i1*args.nb01 + i0*args.nb00); + device T * dst_data = (device T *)( dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1 + i0*args.nb0); + + dst_data[0] = src[0]; + dst_data[1] = src[1]; + } + } +} + +template +kernel void kernel_rope_multi( + constant lm_ggml_metal_kargs_rope & args, + device const char * src0, + device const char * src1, + device const char * src2, + device char * dst, + ushort tiitg[[thread_index_in_threadgroup]], + ushort3 tptg [[threads_per_threadgroup]], + uint3 tgpig[[threadgroup_position_in_grid]]) { + const int i3 = tgpig[2]; + const int i2 = tgpig[1]; + const int i1 = tgpig[0]; + + float corr_dims[2]; + rope_yarn_corr_dims(args.n_dims, args.n_ctx_orig, args.freq_base, args.beta_fast, args.beta_slow, corr_dims); + + device const int32_t * pos = (device const int32_t *) src1; + + const float inv_ndims = -1.f/args.n_dims; + + float cos_theta; + float sin_theta; + + for (int i0 = 2*tiitg; i0 < args.ne0; i0 += 2*tptg.x) { + if (i0 < args.n_dims) { + const int ic = i0/2; + + // mrope theta calculations + // note: the rest is the same as kernel_rope_neox + const int sect_dims = args.sect_0 + args.sect_1 + args.sect_2 + args.sect_3; + const int sec_w01 = args.sect_0 + args.sect_1; // end of section 1 + const int sec_w012 = args.sect_0 + args.sect_1 + args.sect_2; // end of section 2 + const int sector = ic % sect_dims; + + float theta_base; + if (FC_rope_is_imrope) { + if (sector % 3 == 1 && sector < 3 * args.sect_1) { // h + theta_base = (float) pos[i2 + args.ne02 * 1]; + } else if (sector % 3 == 2 && sector < 3 * args.sect_2) { // w + theta_base = (float) pos[i2 + args.ne02 * 2]; + } else if (sector % 3 == 0 && sector < 3 * args.sect_0) { // t + theta_base = (float) pos[i2 + args.ne02 * 0]; + } else { // e + theta_base = (float) pos[i2 + args.ne02 * 3]; + } + } else { + if (sector < args.sect_0) { + theta_base = (float) pos[i2]; + } else if (sector < sec_w01) { + theta_base = (float) pos[i2 + args.ne02 * 1]; + } else if (sector < sec_w012) { + theta_base = (float) pos[i2 + args.ne02 * 2]; + } else { + theta_base = (float) pos[i2 + args.ne02 * 3]; + } + } + // end of mrope + + const float theta = theta_base * pow(args.freq_base, inv_ndims*i0); + + const float freq_factor = args.src2 ? ((device const float *) src2)[ic] : 1.0f; + + rope_yarn(theta/freq_factor, args.freq_scale, corr_dims, i0, args.ext_factor, args.attn_factor, &cos_theta, &sin_theta); + + device const T * const src = (device T *)(src0 + i3*args.nb03 + i2*args.nb02 + i1*args.nb01 + ic*args.nb00); + device T * dst_data = (device T *)( dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1 + ic*args.nb0); + + const float x0 = src[0]; + const float x1 = src[args.n_dims/2]; + + dst_data[0] = x0*cos_theta - x1*sin_theta; + dst_data[args.n_dims/2] = x0*sin_theta + x1*cos_theta; + } else { + device const T * const src = (device T *)(src0 + i3*args.nb03 + i2*args.nb02 + i1*args.nb01 + i0*args.nb00); + device T * dst_data = (device T *)( dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1 + i0*args.nb0); + + dst_data[0] = src[0]; + dst_data[1] = src[1]; + } + } +} + +template +kernel void kernel_rope_vision( + constant lm_ggml_metal_kargs_rope & args, + device const char * src0, + device const char * src1, + device const char * src2, + device char * dst, + ushort tiitg[[thread_index_in_threadgroup]], + ushort3 tptg [[threads_per_threadgroup]], + uint3 tgpig[[threadgroup_position_in_grid]]) { + const int i3 = tgpig[2]; + const int i2 = tgpig[1]; + const int i1 = tgpig[0]; + + float corr_dims[2]; + rope_yarn_corr_dims(args.n_dims, args.n_ctx_orig, args.freq_base, args.beta_fast, args.beta_slow, corr_dims); + + device const int32_t * pos = (device const int32_t *) src1; + + const float inv_ndims = -1.f/args.n_dims; + + float cos_theta; + float sin_theta; + + for (int i0 = 2*tiitg; i0 < args.ne0; i0 += 2*tptg.x) { + if (i0 < 2*args.n_dims) { // different from kernel_rope_multi + const int ic = i0/2; + + // mrope theta calculations (only support 2 dimensions) + const int sect_dims = args.sect_0 + args.sect_1; + const int sector = ic % sect_dims; + + float p; + float theta_base; + if (sector < args.sect_1) { + p = (float) sector; + theta_base = (float) pos[i2]; + } else { + p = (float) sector - args.sect_0; + theta_base = (float) pos[i2 + args.ne02]; + } + + const float theta = theta_base * pow(args.freq_base, 2.0f * inv_ndims * p); + // end of mrope + + const float freq_factor = args.src2 ? ((device const float *) src2)[ic] : 1.0f; + + rope_yarn(theta/freq_factor, args.freq_scale, corr_dims, i0, args.ext_factor, args.attn_factor, &cos_theta, &sin_theta); + + device const T * const src = (device T *)(src0 + i3*args.nb03 + i2*args.nb02 + i1*args.nb01 + ic*args.nb00); + device T * dst_data = (device T *)( dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1 + ic*args.nb0); + + const float x0 = src[0]; + const float x1 = src[args.n_dims]; // different from kernel_rope_multi + + dst_data[0] = x0*cos_theta - x1*sin_theta; + dst_data[args.n_dims] = x0*sin_theta + x1*cos_theta; // different from kernel_rope_multi + } else { + device const T * const src = (device T *)(src0 + i3*args.nb03 + i2*args.nb02 + i1*args.nb01 + i0*args.nb00); + device T * dst_data = (device T *)( dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1 + i0*args.nb0); + + dst_data[0] = src[0]; + dst_data[1] = src[1]; + } + } +} + +typedef decltype(kernel_rope_norm) kernel_rope_norm_t; +typedef decltype(kernel_rope_neox) kernel_rope_neox_t; +typedef decltype(kernel_rope_multi) kernel_rope_multi_t; +typedef decltype(kernel_rope_vision) kernel_rope_vision_t; + +template [[host_name("kernel_rope_norm_f32")]] kernel kernel_rope_norm_t kernel_rope_norm; +template [[host_name("kernel_rope_norm_f16")]] kernel kernel_rope_norm_t kernel_rope_norm; + +template [[host_name("kernel_rope_neox_f32")]] kernel kernel_rope_neox_t kernel_rope_neox; +template [[host_name("kernel_rope_neox_f16")]] kernel kernel_rope_neox_t kernel_rope_neox; + +template [[host_name("kernel_rope_multi_f32")]] kernel kernel_rope_multi_t kernel_rope_multi; +template [[host_name("kernel_rope_multi_f16")]] kernel kernel_rope_multi_t kernel_rope_multi; + +template [[host_name("kernel_rope_vision_f32")]] kernel kernel_rope_vision_t kernel_rope_vision; +template [[host_name("kernel_rope_vision_f16")]] kernel kernel_rope_vision_t kernel_rope_vision; + +typedef void (im2col_t)( + constant lm_ggml_metal_kargs_im2col & args, + device const float * x, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tgpg[[threadgroups_per_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]); + +template +kernel void kernel_im2col( + constant lm_ggml_metal_kargs_im2col & args, + device const float * x, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tgpg[[threadgroups_per_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]) { +// const int64_t IC = tgpg[0]; + const int64_t OH = tgpg[1]; + const int64_t OW = tgpg[2]; + + const int64_t KH = ntg[1]; + const int64_t KW = ntg[2]; + + int64_t in = tpitg[0]; + const int64_t ikh = tpitg[1]; + const int64_t ikw = tpitg[2]; + + const int64_t iic = tgpig[0]; + const int64_t ioh = tgpig[1]; + const int64_t iow = tgpig[2]; + + const int64_t iiw = iow*args.s0 + ikw*args.d0 - args.p0; + const int64_t iih = ioh*args.s1 + ikh*args.d1 - args.p1; + + int64_t offset_dst = (in*OH*OW + ioh*OW + iow)*args.CHW + (iic*(KH*KW) + ikh*KW + ikw); + + device T * pdst = (device T *) (dst); + + if (iih < 0 || iih >= args.IH || iiw < 0 || iiw >= args.IW) { + while (in < args.N) { + pdst[offset_dst] = 0.0f; + offset_dst += ntg[0]*args.CHW*OH*OW; + + in += ntg[0]; + } + } else { + int64_t offset_src = in*args.ofs0 + iic*args.ofs1 + iih*args.IW + iiw; + + while (in < args.N) { + pdst[offset_dst] = x[offset_src]; + + offset_dst += ntg[0]*args.CHW*OH*OW; + offset_src += ntg[0]*args.ofs0; + + in += ntg[0]; + } + } +} + +template [[host_name("kernel_im2col_f32")]] kernel im2col_t kernel_im2col; +template [[host_name("kernel_im2col_f16")]] kernel im2col_t kernel_im2col; + +// TODO: obolete -- remove +//typedef void (im2col_ext_t)( +// constant lm_ggml_metal_kargs_im2col & args, +// device const float * x, +// device char * dst, +// uint3 tgpig[[threadgroup_position_in_grid]], +// uint3 tgpg[[threadgroups_per_grid]], +// uint3 tpitg[[thread_position_in_threadgroup]], +// uint3 ntg[[threads_per_threadgroup]]); +// +//template +//kernel void kernel_im2col_ext( +// constant lm_ggml_metal_kargs_im2col & args, +// device const float * x, +// device char * dst, +// uint3 tgpig[[threadgroup_position_in_grid]], +// uint3 tgpg[[threadgroups_per_grid]], // tgpg[0] = D x IC x KH x KW, CHW = IC x KH x KW +// uint3 tpitg[[thread_position_in_threadgroup]], +// uint3 ntg[[threads_per_threadgroup]]) { // [M, 1, 1] +// const int64_t KHW = (int64_t)args.KHW; +// +// const int64_t d = tgpig[0] / args.CHW; +// const int64_t chw = tgpig[0] % args.CHW; +// const int64_t tgpig_0 = chw / KHW; // 0 ~ (IC - 1) +// const int64_t HW = tgpig[0] % KHW; +// +// const int64_t tpitg_0 = (d * ntg[0]) + tpitg[0]; +// if (tpitg_0 >= args.N) { +// return; +// } +// +// const int64_t tpitg_1 = HW / args.KW; +// const int64_t tpitg_2 = HW % args.KW; +// +// const int64_t iiw = tgpig[2] * args.s0 + tpitg_2 * args.d0 - args.p0; +// const int64_t iih = tgpig[1] * args.s1 + tpitg_1 * args.d1 - args.p1; +// +// const int64_t offset_dst = +// (tpitg_0 * tgpg[1] * tgpg[2] + tgpig[1] * tgpg[2] + tgpig[2]) * args.CHW + +// (tgpig_0 * KHW + tpitg_1 * args.KW + tpitg_2); +// +// device T * pdst = (device T *) (dst); +// +// if (iih < 0 || iih >= args.IH || iiw < 0 || iiw >= args.IW) { +// pdst[offset_dst] = 0.0f; +// } else { +// const int64_t offset_src = tpitg_0 * args.ofs0 + tgpig_0 * args.ofs1; +// pdst[offset_dst] = x[offset_src + iih * args.IW + iiw]; +// } +//} +// +//template [[host_name("kernel_im2col_ext_f32")]] kernel im2col_ext_t kernel_im2col_ext; +//template [[host_name("kernel_im2col_ext_f16")]] kernel im2col_ext_t kernel_im2col_ext; + +template +kernel void kernel_conv_2d( + constant lm_ggml_metal_kargs_conv_2d & args, + device const char * weights, + device const char * src, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tgpg[[threadgroups_per_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]) { + + const uint threads_per_tg = ntg.x * ntg.y * ntg.z; + const uint tg_index = (tgpig.z * tgpg.y + tgpig.y) * tgpg.x + tgpig.x; + const uint local_thread = tpitg.z * (ntg.x * ntg.y) + tpitg.y * ntg.x + tpitg.x; + const uint thread_index = tg_index * threads_per_tg + local_thread; + const uint64_t total_threads = (uint64_t) threads_per_tg * tgpg.x * tgpg.y * tgpg.z; + const uint64_t total_outputs = (uint64_t) args.N * args.OC * args.OH * args.OW; + + for (uint64_t index = thread_index; index < total_outputs; index += total_threads) { + uint64_t tmp = index; + + const int32_t ow = tmp % args.OW; tmp /= args.OW; + const int32_t oh = tmp % args.OH; tmp /= args.OH; + const int32_t oc = tmp % args.OC; tmp /= args.OC; + const int32_t n = tmp; + + float acc = 0.0f; + + const int32_t base_x = ow*args.s0 - args.p0; + const int32_t base_y = oh*args.s1 - args.p1; + + int32_t ky_start = 0; + if (base_y < 0) { + ky_start = (-base_y + args.d1 - 1)/args.d1; + } + int32_t ky_end = args.KH; + const int32_t y_max = args.IH - 1 - base_y; + if (y_max < 0) { + ky_end = ky_start; + } else if (base_y + (args.KH - 1)*args.d1 >= args.IH) { + ky_end = min(ky_end, y_max/args.d1 + 1); + } + + int32_t kx_start = 0; + if (base_x < 0) { + kx_start = (-base_x + args.d0 - 1)/args.d0; + } + int32_t kx_end = args.KW; + const int32_t x_max = args.IW - 1 - base_x; + if (x_max < 0) { + kx_end = kx_start; + } else if (base_x + (args.KW - 1)*args.d0 >= args.IW) { + kx_end = min(kx_end, x_max/args.d0 + 1); + } + + if (ky_start < ky_end && kx_start < kx_end) { + const uint64_t src_base_n = (uint64_t) n * args.nb13; + const uint64_t w_base_oc = (uint64_t) oc * args.nb03; + + for (int32_t ic = 0; ic < args.IC; ++ic) { + const uint64_t src_base_nc = src_base_n + (uint64_t) ic * args.nb12; + const uint64_t w_base_ocic = w_base_oc + (uint64_t) ic * args.nb02; + + for (int32_t ky = ky_start; ky < ky_end; ++ky) { + const int32_t iy = base_y + ky*args.d1; + const uint64_t src_base_row = src_base_nc + (uint64_t) iy * args.nb11; + const uint64_t w_base_row = w_base_ocic + (uint64_t) ky * args.nb01; + + for (int32_t kx = kx_start; kx < kx_end; ++kx) { + const int32_t ix = base_x + kx*args.d0; + const uint64_t src_offs = src_base_row + (uint64_t) ix * args.nb10; + const uint64_t w_offs = w_base_row + (uint64_t) kx * args.nb00; + + const float x = *(device const float *)(src + src_offs); + const float w = (float) (*(device const TK *)(weights + w_offs)); + + acc += x * w; + } + } + } + } + + const uint64_t dst_offs = + (uint64_t) n * args.nb3 + + (uint64_t) oc * args.nb2 + + (uint64_t) oh * args.nb1 + + (uint64_t) ow * args.nb0; + + *(device float *)(dst + dst_offs) = acc; + } +} + +template [[host_name("kernel_conv_2d_f32_f32")]] +kernel void kernel_conv_2d( + constant lm_ggml_metal_kargs_conv_2d & args, + device const char * weights, + device const char * src, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tgpg[[threadgroups_per_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]); + +template [[host_name("kernel_conv_2d_f16_f32")]] +kernel void kernel_conv_2d( + constant lm_ggml_metal_kargs_conv_2d & args, + device const char * weights, + device const char * src, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tgpg[[threadgroups_per_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]); + +typedef void (conv_transpose_1d_t)( + constant lm_ggml_metal_kargs_conv_transpose_1d & args, + device const float * src0, + device const float * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tgpg[[threadgroups_per_grid]]); + +template +kernel void kernel_conv_transpose_1d( + constant lm_ggml_metal_kargs_conv_transpose_1d & args, + device const T * src0, + device const float * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tgpg[[threadgroups_per_grid]]) { + + float v = 0.0f; + + for (int64_t c = 0; c < args.IC; c++) { + const int32_t kernel_offset = c * tgpg[1] * args.K + args.K * tgpig[1]; + const int32_t input_offset = c * args.IL; + + for (int64_t i = 0; i < args.IL; i++) { + if (tgpig[0] >= i * args.s0 && tgpig[0] < i * args.s0 + args.K) { + v += src0[kernel_offset + tgpig[0] - i * args.s0] * src1[input_offset + i]; + } + } + } + + device float * dst_ptr = (device float *) (dst + tgpig[0] * args.nb0 + tgpig[1] * args.nb1); + + dst_ptr[0] = v; +} + +template [[host_name("kernel_conv_transpose_1d_f32_f32")]] +kernel void kernel_conv_transpose_1d( + constant lm_ggml_metal_kargs_conv_transpose_1d & args, + device const float * src0, + device const float * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tgpg[[threadgroups_per_grid]]); + +template [[host_name("kernel_conv_transpose_1d_f16_f32")]] +kernel void kernel_conv_transpose_1d( + constant lm_ggml_metal_kargs_conv_transpose_1d & args, + device const half * src0, + device const float * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tgpg[[threadgroups_per_grid]]); + + +typedef void (conv_transpose_2d_t)( + constant lm_ggml_metal_kargs_conv_transpose_2d & args, + device const float * src0, + device const float * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tgpg[[threadgroups_per_grid]]); + +template +kernel void kernel_conv_transpose_2d( + constant lm_ggml_metal_kargs_conv_transpose_2d & args, + device const T * src0, + device const float * src1, + device char * dst, + threadgroup float * shared_sum [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]) { + + const int64_t out_x = tgpig[0]; + const int64_t out_y = tgpig[1]; + const int64_t out_c = tgpig[2]; + + const int64_t kw = tpitg[0]; + const int64_t kh = tpitg[1]; + + float v = 0.0f; + + for (int64_t in_c = 0; in_c < args.IC; in_c++) { + int64_t in_y = out_y - kh; + + if (in_y < 0 || in_y % args.s0) continue; + + in_y /= args.s0; + + if (in_y >= args.IH) continue; + + int64_t in_x = out_x - kw; + + if (in_x < 0 || in_x % args.s0) continue; + + in_x /= args.s0; + + if (in_x >= args.IW) continue; + + const int64_t input_idx = (args.IW * args.IH) * in_c + (args.IW) * in_y + in_x; + const int64_t kernel_idx = (args.KH * args.KW * args.OC) * in_c + (args.KH * args.KW) * out_c + (args.KW) * kh + kw; + + v += (float)src0[kernel_idx] * src1[input_idx]; + } + + const uint tid = tpitg.y * ntg.x + tpitg.x; + shared_sum[tid] = v; + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (tid == 0) { + float total = 0.0f; + const uint num_threads = ntg.x * ntg.y; + for (uint i = 0; i < num_threads; i++) { + total += shared_sum[i]; + } + + device float * dst_ptr = (device float *) (dst + out_x*args.nb0 + out_y * args.nb1 + out_c*args.nb2); + dst_ptr[0] = total; + } +} + +template [[host_name("kernel_conv_transpose_2d_f32_f32")]] +kernel void kernel_conv_transpose_2d( + constant lm_ggml_metal_kargs_conv_transpose_2d & args, + device const float * src0, + device const float * src1, + device char * dst, + threadgroup float * shared_sum [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]); + +template [[host_name("kernel_conv_transpose_2d_f16_f32")]] +kernel void kernel_conv_transpose_2d( + constant lm_ggml_metal_kargs_conv_transpose_2d & args, + device const half * src0, + device const float * src1, + device char * dst, + threadgroup float * shared_sum [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]); + +kernel void kernel_upscale_f32( + constant lm_ggml_metal_kargs_upscale & args, + device const char * src0, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]) { + + const int64_t i3 = tgpig.z; + const int64_t i2 = tgpig.y; + const int64_t i1 = tgpig.x; + + const int64_t i03 = i3/args.sf3; + const int64_t i02 = i2/args.sf2; + const int64_t i01 = i1/args.sf1; + + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + const int64_t i00 = i0/args.sf0; + + device const float * src0_ptr = (device const float *) (src0 + i03*args.nb03 + i02*args.nb02 + i01*args.nb01 + i00*args.nb00); + device float * dst_ptr = (device float *) (dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1 + i0*args.nb0); + + dst_ptr[0] = src0_ptr[0]; + } +} + +kernel void kernel_pad_f32( + constant lm_ggml_metal_kargs_pad & args, + device const char * src0, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]) { + + const int64_t i3 = tgpig.z; + const int64_t i2 = tgpig.y; + const int64_t i1 = tgpig.x; + + const int64_t i03 = i3; + const int64_t i02 = i2; + const int64_t i01 = i1; + + device const float * src0_ptr = (device const float *) (src0 + i03*args.nb03 + i02*args.nb02 + i01*args.nb01); + device float * dst_ptr = (device float *) (dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1); + + if (i1 < args.ne01 && i2 < args.ne02 && i3 < args.ne03) { + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + if (i0 < args.ne00) { + dst_ptr[i0] = src0_ptr[i0]; + } else { + dst_ptr[i0] = 0.0f; + } + } + + return; + } + + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + dst_ptr[i0] = 0.0f; + } +} + +kernel void kernel_pad_reflect_1d_f32( + constant lm_ggml_metal_kargs_pad_reflect_1d & args, + device const char * src0, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tgpg[[threadgroups_per_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]) { + + const int64_t i3 = tgpig.z; + const int64_t i2 = tgpig.y; + const int64_t i1 = tgpig.x; + + const int64_t i03 = i3; + const int64_t i02 = i2; + const int64_t i01 = i1; + + device const float * src0_ptr = (device const float *) (src0 + i03*args.nb03 + i02*args.nb02 + i01*args.nb01); + device float * dst_ptr = (device float *) (dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1); + + if (i1 < args.ne01 && i2 < args.ne02 && i3 < args.ne03) { + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + if (i0 < args.p0) { + dst_ptr[i0] = src0_ptr[args.p0 - i0]; + } else if (i0 < args.ne0 - args.p1) { + dst_ptr[i0] = src0_ptr[i0 - args.p0]; + } else { + dst_ptr[i0] = src0_ptr[(args.ne0 - args.p1 - args.p0) - (args.p1 + 1 - (args.ne0 - i0)) - 1]; + } + } + } +} + +kernel void kernel_arange_f32( + constant lm_ggml_metal_kargs_arange & args, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]) { + + device float * dst_ptr = (device float *) dst; + + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + dst_ptr[i0] = args.start + args.step * i0; + } +} + +kernel void kernel_timestep_embedding_f32( + constant lm_ggml_metal_kargs_timestep_embedding & args, + device const char * src0, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint3 tpitg[[thread_position_in_threadgroup]], + uint3 ntg[[threads_per_threadgroup]]) { + + int i = tgpig.x; + device float * embed_data = (device float *)(dst + i*args.nb1); + + int half_ = args.dim / 2; + for (int j = tpitg.x; j < half_; j += ntg.x) { + float timestep = ((device float *)src0)[i]; + float freq = (float)exp(-log((float)args.max_period) * j / half_); + float arg = timestep * freq; + embed_data[j ] = cos(arg); + embed_data[j + half_] = sin(arg); + } + + if (args.dim % 2 != 0 && tpitg.x == 0) { + embed_data[2 * half_] = 0.f; + } +} + +// bitonic sort implementation following the CUDA kernels as reference +typedef void (argsort_t)( + constant lm_ggml_metal_kargs_argsort & args, + device const char * src0, + device int32_t * dst, + threadgroup int32_t * shmem_i32 [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]); + +template +kernel void kernel_argsort_f32_i32( + constant lm_ggml_metal_kargs_argsort & args, + device const char * src0, + device int32_t * dst, + threadgroup int32_t * shmem_i32 [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + // bitonic sort + const int col = tpitg[0]; + + const int i00 = (tgpig[0]/args.ne01)*ntg.x; + const int i01 = tgpig[0]%args.ne01; + const int i02 = tgpig[1]; + const int i03 = tgpig[2]; + + device const float * src0_row = (device const float *) (src0 + args.nb01*i01 + args.nb02*i02 + args.nb03*i03); + + // initialize indices + shmem_i32[col] = i00 + col; + + threadgroup_barrier(mem_flags::mem_threadgroup); + + for (int k = 2; k <= ntg.x; k *= 2) { + for (int j = k / 2; j > 0; j /= 2) { + int ixj = col ^ j; + if (ixj > col) { + if ((col & k) == 0) { + if (shmem_i32[col] >= args.ne00 || + (shmem_i32[ixj] < args.ne00 && (order == LM_GGML_SORT_ORDER_ASC ? + src0_row[shmem_i32[col]] > src0_row[shmem_i32[ixj]] : + src0_row[shmem_i32[col]] < src0_row[shmem_i32[ixj]])) + ) { + SWAP(shmem_i32[col], shmem_i32[ixj]); + } + } else { + if (shmem_i32[ixj] >= args.ne00 || + (shmem_i32[col] < args.ne00 && (order == LM_GGML_SORT_ORDER_ASC ? + src0_row[shmem_i32[col]] < src0_row[shmem_i32[ixj]] : + src0_row[shmem_i32[col]] > src0_row[shmem_i32[ixj]])) + ) { + SWAP(shmem_i32[col], shmem_i32[ixj]); + } + } + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + } + } + + // copy the result to dst without the padding + if (i00 + col < args.ne00) { + dst += i00 + args.ne00*i01 + args.ne00*args.ne01*i02 + args.ne00*args.ne01*args.ne02*i03; + + dst[col] = shmem_i32[col]; + } +} + +template [[host_name("kernel_argsort_f32_i32_asc")]] kernel argsort_t kernel_argsort_f32_i32; +template [[host_name("kernel_argsort_f32_i32_desc")]] kernel argsort_t kernel_argsort_f32_i32; + +typedef void (argsort_merge_t)( + constant lm_ggml_metal_kargs_argsort_merge & args, + device const char * src0, + device const int32_t * tmp, + device int32_t * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]); + +template +kernel void kernel_argsort_merge_f32_i32( + constant lm_ggml_metal_kargs_argsort_merge & args, + device const char * src0, + device const int32_t * tmp, + device int32_t * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + + const int im = tgpig[0] / args.ne01; + const int i01 = tgpig[0] % args.ne01; + const int i02 = tgpig[1]; + const int i03 = tgpig[2]; + + const int start = im * (2 * args.len); + + const int len0 = MIN(args.len, MAX(0, args.ne00 - (int)(start))); + const int len1 = MIN(args.len, MAX(0, args.ne00 - (int)(start + args.len))); + + const int total = len0 + len1; + + device const int32_t * tmp0 = tmp + start + + i01*args.ne00 + + i02*args.ne00*args.ne01 + + i03*args.ne00*args.ne01*args.ne02; + + device const int32_t * tmp1 = tmp0 + args.len; + + dst += start + + i01*args.ne00 + + i02*args.ne00*args.ne01 + + i03*args.ne00*args.ne01*args.ne02; + + device const float * src0_row = (device const float *)(src0 + + args.nb01*i01 + + args.nb02*i02 + + args.nb03*i03); + + if (total == 0) { + return; + } + + const int chunk = (total + ntg.x - 1) / ntg.x; + + const int k0 = tpitg.x * chunk; + const int k1 = min(k0 + chunk, total); + + if (k0 >= total) { + return; + } + + int low = k0 > len1 ? k0 - len1 : 0; + int high = MIN(k0, len0); + + // binary-search partition (i, j) such that i + j = k + while (low < high) { + const int mid = (low + high) >> 1; + + const int32_t idx0 = tmp0[mid]; + const int32_t idx1 = tmp1[k0 - mid - 1]; + + const float val0 = src0_row[idx0]; + const float val1 = src0_row[idx1]; + + bool take_left; + if (order == LM_GGML_SORT_ORDER_ASC) { + take_left = (val0 <= val1); + } else { + take_left = (val0 >= val1); + } + + if (take_left) { + low = mid + 1; + } else { + high = mid; + } + } + + int i = low; + int j = k0 - i; + + // keep the merge fronts into registers + int32_t idx0 = 0; + float val0 = 0.0f; + if (i < len0) { + idx0 = tmp0[i]; + val0 = src0_row[idx0]; + } + + int32_t idx1 = 0; + float val1 = 0.0f; + if (j < len1) { + idx1 = tmp1[j]; + val1 = src0_row[idx1]; + } + + for (int k = k0; k < k1; ++k) { + int32_t out_idx; + + if (i >= len0) { + while (k < k1) { + dst[k++] = tmp1[j++]; + } + break; + } else if (j >= len1) { + while (k < k1) { + dst[k++] = tmp0[i++]; + } + break; + } else { + bool take_left; + + if (order == LM_GGML_SORT_ORDER_ASC) { + take_left = (val0 <= val1); + } else { + take_left = (val0 >= val1); + } + + if (take_left) { + out_idx = idx0; + ++i; + if (i < len0) { + idx0 = tmp0[i]; + val0 = src0_row[idx0]; + } + } else { + out_idx = idx1; + ++j; + if (j < len1) { + idx1 = tmp1[j]; + val1 = src0_row[idx1]; + } + } + } + + dst[k] = out_idx; + } +} + +template [[host_name("kernel_argsort_merge_f32_i32_asc")]] kernel argsort_merge_t kernel_argsort_merge_f32_i32; +template [[host_name("kernel_argsort_merge_f32_i32_desc")]] kernel argsort_merge_t kernel_argsort_merge_f32_i32; + +kernel void kernel_leaky_relu_f32( + constant lm_ggml_metal_kargs_leaky_relu & args, + device const float * src0, + device float * dst, + uint tpig[[thread_position_in_grid]]) { + const float x = src0[tpig]; + dst[tpig] = x > 0.0f ? x : x * args.slope; +} + +kernel void kernel_leaky_relu_f32_4( + constant lm_ggml_metal_kargs_leaky_relu & args, + device const float4 * src0, + device float4 * dst, + uint tpig[[thread_position_in_grid]]) { + const float4 x = src0[tpig]; + dst[tpig] = float4(x > 0.0f)*x + float4(x <= 0.0f)*(x * args.slope); +} + +constant bool FC_flash_attn_ext_pad_has_mask [[function_constant(FC_FLASH_ATTN_EXT_PAD + 0)]]; + +constant int32_t FC_flash_attn_ext_pad_ncpsg [[function_constant(FC_FLASH_ATTN_EXT_PAD + 25)]]; + +// pad the last chunk of C elements of k and v into a an extra pad buffer +kernel void kernel_flash_attn_ext_pad( + constant lm_ggml_metal_kargs_flash_attn_ext_pad & args, + device const char * k, + device const char * v, + device const char * mask, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiitg[[thread_index_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + const int32_t C = FC_flash_attn_ext_pad_ncpsg; + + device char * k_pad = dst; + device char * v_pad = k_pad + args.nb11*C*args.ne_12_2*args.ne_12_3; + device char * mask_pad = v_pad + args.nb21*C*args.ne_12_2*args.ne_12_3; + + const int32_t icp = args.ne11 % C; + const int32_t ic0 = args.ne11 - icp; + + const int32_t i1 = tgpig[0]; + const int32_t i2 = tgpig[1]; + const int32_t i3 = tgpig[2]; + + if (i2 < args.ne_12_2 && i3 < args.ne_12_3) { + device const char * k_src = k + args.nb11*(ic0 + i1) + args.nb12*i2 + args.nb13*i3; + device const char * v_src = v + args.nb21*(ic0 + i1) + args.nb22*i2 + args.nb23*i3; + + device char * k_dst = k_pad + args.nb11*i1 + args.nb11*C*i2 + args.nb11*C*args.ne_12_2*i3; + device char * v_dst = v_pad + args.nb21*i1 + args.nb21*C*i2 + args.nb21*C*args.ne_12_2*i3; + + if (i1 >= icp) { + // here it is not important the exact value that will be used as we rely on masking out the scores in the attention + for (uint64_t i = tiitg; i < args.nb11; i += ntg.x) { + k_dst[i] = 0; + } + for (uint64_t i = tiitg; i < args.nb21; i += ntg.x) { + v_dst[i] = 0; + } + } else { + for (uint64_t i = tiitg; i < args.nb11; i += ntg.x) { + k_dst[i] = k_src[i]; + } + for (uint64_t i = tiitg; i < args.nb21; i += ntg.x) { + v_dst[i] = v_src[i]; + } + } + } + + if (FC_flash_attn_ext_pad_has_mask) { + if (i2 < args.ne32 && i3 < args.ne33) { + for (int ib = i1; ib < args.ne31; ib += C) { + device const half * mask_src = (device const half *)(mask + args.nb31*ib + args.nb32*i2 + args.nb33*i3) + ic0; + device half * mask_dst = (device half *)(mask_pad) + C*ib + C*args.ne31*i2 + C*args.ne31*args.ne32*i3; + + for (int i = tiitg; i < C; i += ntg.x) { + if (i >= icp) { + mask_dst[i] = -MAXHALF; + } else { + mask_dst[i] = mask_src[i]; + } + } + } + } + } +} + +constant int32_t FC_flash_attn_ext_blk_nqptg [[function_constant(FC_FLASH_ATTN_EXT_BLK + 24)]]; +constant int32_t FC_flash_attn_ext_blk_ncpsg [[function_constant(FC_FLASH_ATTN_EXT_BLK + 25)]]; + +// scan the blocks of the mask that are not masked +// 0 - masked (i.e. full of -INF, skip) +// 1 - not masked (i.e. at least one element of the mask is not -INF) +kernel void kernel_flash_attn_ext_blk( + constant lm_ggml_metal_kargs_flash_attn_ext_blk & args, + device const char * mask, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]]) { + // block size C x Q + const int32_t Q = FC_flash_attn_ext_blk_nqptg; + const int32_t C = FC_flash_attn_ext_blk_ncpsg; + + constexpr short NW = N_SIMDWIDTH; + + const int32_t i3 = tgpig[2]/args.ne32; + const int32_t i2 = tgpig[2]%args.ne32; + const int32_t i1 = tgpig[1]; + const int32_t i0 = tgpig[0]; + + char res = i0*C + C > args.ne30 ? 1 : 0; + + device const half * mask_src = (device const half *) (mask + (i1*Q)*args.nb31 + i2*args.nb32 + i3*args.nb33) + i0*C + tiisg; + + // fast route + if (res == 0) { + if (simd_max(*mask_src) > -MAXHALF/2) { + res = 1; + } + } + + // detailed check of the elements of the block + if ((C > NW || Q > 1) && res == 0) { + half m = -MAXHALF; + + FOR_UNROLL (short j = 0; j < Q; ++j) { + FOR_UNROLL (short ii = 0; ii < C/NW; ++ii) { + m = max(m, mask_src[ii*NW]); + } + + mask_src += args.nb31/2; + } + + if (simd_max(m) > -MAXHALF/2) { + res = 1; + } + } + + const int32_t nblk1 = ((args.ne01 + Q - 1)/Q); + const int32_t nblk0 = ((args.ne30 + C - 1)/C); + + if (tiisg == 0) { + dst[((i3*args.ne32 + i2)*nblk1 + i1)*nblk0 + i0] = res; + } +} + +constant bool FC_flash_attn_ext_has_mask [[function_constant(FC_FLASH_ATTN_EXT + 0)]]; +constant bool FC_flash_attn_ext_has_sinks [[function_constant(FC_FLASH_ATTN_EXT + 1)]]; +constant bool FC_flash_attn_ext_has_bias [[function_constant(FC_FLASH_ATTN_EXT + 2)]]; +constant bool FC_flash_attn_ext_has_scap [[function_constant(FC_FLASH_ATTN_EXT + 3)]]; +constant bool FC_flash_attn_ext_has_kvpad [[function_constant(FC_FLASH_ATTN_EXT + 4)]]; + +constant bool FC_flash_attn_ext_bc_mask [[function_constant(FC_FLASH_ATTN_EXT + 10)]]; + +//constant float FC_flash_attn_ext_scale [[function_constant(FC_FLASH_ATTN_EXT + 10)]]; +//constant float FC_flash_attn_ext_max_bias [[function_constant(FC_FLASH_ATTN_EXT + 11)]]; +//constant float FC_flash_attn_ext_logit_softcap [[function_constant(FC_FLASH_ATTN_EXT + 12)]]; + +constant int32_t FC_flash_attn_ext_ns10 [[function_constant(FC_FLASH_ATTN_EXT + 20)]]; +constant int32_t FC_flash_attn_ext_ns20 [[function_constant(FC_FLASH_ATTN_EXT + 21)]]; +constant int32_t FC_flash_attn_ext_nsg [[function_constant(FC_FLASH_ATTN_EXT + 22)]]; + +// ref: https://arxiv.org/pdf/2307.08691.pdf +template< + typename q_t, // query types in shared memory + typename q4_t, + typename q8x8_t, + typename k_t, // key types in shared memory + typename k4x4_t, + typename k8x8_t, + typename v_t, // value types in shared memory + typename v4x4_t, + typename v8x8_t, + typename qk_t, // Q*K types + typename qk8x8_t, + typename s_t, // soft-max types + typename s2_t, + typename s8x8_t, + typename o_t, // attention accumulation types + typename o4_t, + typename o8x8_t, + typename kd4x4_t, // key type in device memory + short nl_k, + void (*deq_k)(device const kd4x4_t *, short, thread k4x4_t &), + typename vd4x4_t, // value type in device memory + short nl_v, + void (*deq_v)(device const vd4x4_t *, short, thread v4x4_t &), + short DK, // K head size + short DV, // V head size + short Q, // queries per threadgroup + short C, // cache items per threadgroup + short NSG> // number of simd groups +void kernel_flash_attn_ext_impl( + constant lm_ggml_metal_kargs_flash_attn_ext & args, + device const char * q, + device const char * k, + device const char * v, + device const char * mask, + device const char * sinks, + device const char * pad, + device const char * blk, + device char * dst, + threadgroup half * shmem_f16, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const ushort iq3 = tgpig[2]; + const ushort iq2 = tgpig[1]; + const ushort iq1 = tgpig[0]*Q; + +#define NS10 (FC_flash_attn_ext_ns10) +#define NS20 (FC_flash_attn_ext_ns20) + + // note: I had some concerns that using this instead of the ugly macros above was affecting performance + // need to re-check carefully and if no regressions are observerd - remove the macros + // the concerns is that maybe using const variables requires extra registers? but not sure if the compiler + // is clever enough to avoid this. unfortunately, using constexpr is not possible with FC + //const short NS10 = FC_flash_attn_ext_ns10; + //const short NS20 = FC_flash_attn_ext_ns20; + + constexpr short KV = 8; + + constexpr short DK4 = DK/4; + constexpr short DK8 = DK/8; + constexpr short DK16 = DK/16; + constexpr short DV4 = DV/4; + //constexpr short DV8 = DV/8; + constexpr short DV16 = DV/16; + + constexpr short PV = PAD2(DV, 64); + constexpr short PV4 = PV/4; + constexpr short PV8 = PV/8; + //constexpr short PV16 = PV/16; + + constexpr short NW = N_SIMDWIDTH; + constexpr short NQ = Q/NSG; + constexpr short SH = 2*C; // shared memory per simdgroup (s_t == float) + + constexpr short TS = 2*SH; + constexpr short T = DK + 2*PV; // shared memory size per query in (half) + + threadgroup q_t * sq = (threadgroup q_t *) (shmem_f16 + 0*T); // holds the query data + threadgroup q4_t * sq4 = (threadgroup q4_t *) (shmem_f16 + 0*T); // same as above but in q4_t + threadgroup o_t * so = (threadgroup o_t *) (shmem_f16 + 0*T + Q*DK); // the result for all queries in 8x8 matrices (the O matrix from the paper) + threadgroup o4_t * so4 = (threadgroup o4_t *) (shmem_f16 + 0*T + Q*DK); + threadgroup s_t * ss = (threadgroup s_t *) (shmem_f16 + Q*T); // scratch buffer for attention, mask and diagonal matrix + threadgroup s2_t * ss2 = (threadgroup s2_t *) (shmem_f16 + Q*T); // same as above but in s2_t + + threadgroup k_t * sk = (threadgroup k_t *) (shmem_f16 + sgitg*(4*16*KV) + Q*T + Q*TS); // scratch buffer to load K in shared memory + threadgroup k4x4_t * sk4x4 = (threadgroup k4x4_t *) (shmem_f16 + sgitg*(4*16*KV) + Q*T + Q*TS); // same as above but in k4x4_t + + threadgroup v_t * sv = (threadgroup v_t *) (shmem_f16 + sgitg*(4*16*KV) + Q*T + Q*TS); // scratch buffer to load V in shared memory + threadgroup v4x4_t * sv4x4 = (threadgroup v4x4_t *) (shmem_f16 + sgitg*(4*16*KV) + Q*T + Q*TS); // same as above but in v4x4_t + + // mask storage in shared mem + threadgroup half2 * sm2 = (threadgroup half2 *) (shmem_f16 + Q*T + 2*C); + + // per-query mask pointers + device const half2 * pm2[NQ]; + + FOR_UNROLL (short jj = 0; jj < NQ; ++jj) { + const short j = jj*NSG + sgitg; + + pm2[jj] = (device const half2 *) ((device const char *) mask + (iq1 + j)*args.nb31 + (iq2%args.ne32)*args.nb32 + (iq3%args.ne33)*args.nb33); + } + + { + const int32_t nblk1 = ((args.ne01 + Q - 1)/Q); + const int32_t nblk0 = ((args.ne11 + C - 1)/C); + + blk += (((iq3%args.ne33)*args.ne32 + (iq2%args.ne32))*nblk1 + iq1/Q)*nblk0; + } + + { + q += iq1*args.nb01 + iq2*args.nb02 + iq3*args.nb03; + + const short ikv2 = iq2/(args.ne02/args.ne_12_2); + const short ikv3 = iq3/(args.ne03/args.ne_12_3); + + k += ikv2*args.nb12 + ikv3*args.nb13; + v += ikv2*args.nb22 + ikv3*args.nb23; + } + + // load heads from Q to shared memory + FOR_UNROLL (short jj = 0; jj < NQ; ++jj) { + const short j = jj*NSG + sgitg; + + device const float4 * q4 = (device const float4 *) ((device const char *) q + j*args.nb01); + + for (short i = tiisg; i < DK4; i += NW) { + if (iq1 + j < args.ne01) { + sq4[j*DK4 + i] = (q4_t) q4[i]; + } else { + sq4[j*DK4 + i] = 0; + } + } + } + + // zero out + FOR_UNROLL (short jj = 0; jj < NQ; ++jj) { + const short j = jj*NSG + sgitg; + + for (short i = tiisg; i < DV4; i += NW) { + so4[j*PV4 + i] = 0; + } + + for (short i = tiisg; i < SH; i += NW) { + ss[j*SH + i] = 0.0f; + } + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + float S[NQ] = { [0 ... NQ-1] = 0.0f }; + + { + float M[NQ] = { [0 ... NQ-1] = -FLT_MAX/2 }; + + float slope = 1.0f; + + // ALiBi + if (FC_flash_attn_ext_has_bias) { + const short h = iq2; + + const float base = h < args.n_head_log2 ? args.m0 : args.m1; + const short exph = h < args.n_head_log2 ? h + 1 : 2*(h - args.n_head_log2) + 1; + + slope = pow(base, exph); + } + + // loop over the KV cache + // each simdgroup handles blocks of Q rows and C columns + for (int ic0 = 0; ; ++ic0) { + int ic = ic0*C; + if (ic >= args.ne11) { + break; + } + + // the last partial chunk uses the pad buffer as source + if (FC_flash_attn_ext_has_kvpad && ic + C > args.ne11) { + k = pad; + v = k + args.nb11*C*args.ne_12_2*args.ne_12_3; + mask = v + args.nb21*C*args.ne_12_2*args.ne_12_3; + + const short ikv2 = iq2/(args.ne02/args.ne_12_2); + const short ikv3 = iq3/(args.ne03/args.ne_12_3); + + k += (ikv2 + ikv3*args.ne_12_2)*args.nb11*C; + v += (ikv2 + ikv3*args.ne_12_2)*args.nb21*C; + + if (!FC_flash_attn_ext_has_mask) { + threadgroup half * sm = (threadgroup half *) (sm2); + + FOR_UNROLL (short jj = 0; jj < NQ; ++jj) { + const short j = jj*NSG + sgitg; + + for (short i = tiisg; i < C; i += NW) { + if (ic + i >= args.ne11) { + sm[2*j*SH + i] = -MAXHALF; + } + } + } + } else { + FOR_UNROLL (short jj = 0; jj < NQ; ++jj) { + const short j = jj*NSG + sgitg; + + pm2[jj] = (device const half2 *) ((device const half *) mask + + (iq1 + j)*C + + (iq2%args.ne32)*(C*args.ne31) + + (iq3%args.ne33)*(C*args.ne31*args.ne32)); + } + } + + ic = 0; + } + + // read the mask into shared mem + if (FC_flash_attn_ext_has_mask) { + if (blk[ic0] == 0) { + FOR_UNROLL (short jj = 0; jj < NQ; ++jj) { + pm2[jj] += NW; + } + + continue; + } + + FOR_UNROLL (short jj = 0; jj < NQ; ++jj) { + const short j = jj*NSG + sgitg; + + if (FC_flash_attn_ext_bc_mask) { + sm2[j*SH + tiisg] = (iq1 + j) < args.ne31 ? pm2[jj][tiisg] : half2(-MAXHALF, -MAXHALF); + } else { + sm2[j*SH + tiisg] = pm2[jj][tiisg]; + } + + pm2[jj] += NW; + } + +#if 0 + // note: old -INF block optimization - obsoleted by pre-computing non-masked blocks + + threadgroup_barrier(mem_flags::mem_threadgroup); + + // used to detect blocks full of -INF + // skip only when the entire threadgroup is masked + half2 smax2(-MAXHALF/2, -MAXHALF/2); + + FOR_UNROLL (short j = 0; j < Q; ++j) { + smax2 = max(smax2, sm2[j*SH + tiisg]); + } + + smax2 = simd_max(smax2); + + if (max(smax2[0], smax2[1]) <= -MAXHALF/2) { + // this barrier is important + threadgroup_barrier(mem_flags::mem_threadgroup); + + continue; + } +#endif + } + + // Q*K^T + // this is compile-time check, so it does not have runtime overhead + if (is_same::value) { + // we can read directly from global memory + device const k_t * pk = (device const k_t *) (k + ic*args.nb11); + threadgroup const q_t * pq = sq; + threadgroup s_t * ps = ss; + + pk += sgitg*(8*NS10); + ps += sgitg*(8*1); + + static_assert((C/8) % NSG == 0, ""); + + constexpr short NC = (C/8)/NSG; + + // note: do not unroll for large heads + #pragma unroll (DK <= 64 ? NC : 1) + for (short cc = 0; cc < NC; ++cc) { + qk8x8_t mqk = make_filled_simdgroup_matrix((qk_t) 0.0f); + + if (DK % 16 != 0) { + k8x8_t mk; + q8x8_t mq; + + FOR_UNROLL (short i = 0; i < DK8; ++i) { + simdgroup_barrier(mem_flags::mem_none); + + simdgroup_load(mk, pk + 8*i, NS10, 0, true); + simdgroup_load(mq, pq + 8*i, DK); + + simdgroup_barrier(mem_flags::mem_none); + + simdgroup_multiply_accumulate(mqk, mq, mk, mqk); + } + } else { + k8x8_t mk[2]; + q8x8_t mq[2]; + + FOR_UNROLL (short i = 0; i < DK8/2; ++i) { + simdgroup_barrier(mem_flags::mem_none); + + simdgroup_load(mq[0], pq + 0*8 + 16*i, DK); + simdgroup_load(mq[1], pq + 1*8 + 16*i, DK); + + simdgroup_load(mk[0], pk + 0*8 + 16*i, NS10, 0, true); + simdgroup_load(mk[1], pk + 1*8 + 16*i, NS10, 0, true); + + simdgroup_barrier(mem_flags::mem_none); + + simdgroup_multiply_accumulate(mqk, mq[0], mk[0], mqk); + simdgroup_multiply_accumulate(mqk, mq[1], mk[1], mqk); + } + } + + simdgroup_store(mqk, ps, SH, 0, false); + + pk += 8*(NSG*NS10); + ps += 8*(NSG); + } + } else { + // TODO: this is the quantized K cache branch - not optimized yet + for (short ccc = 0; ccc < (C/8)/NSG; ++ccc) { + const short cc = ccc*NSG + sgitg; + + const short tx = tiisg%4; + const short ty = tiisg/4; + + qk8x8_t mqk = make_filled_simdgroup_matrix((qk_t) 0.0f); + + for (short ii = 0; ii < DK16; ii += 4) { + device const kd4x4_t * pk4x4 = (device const kd4x4_t *) (k + ((ic + 8*cc + ty)*args.nb11)); + + if (DK16%4 == 0) { + // the head is evenly divisible by 4*16 = 64, so no need for bound checks + { + k4x4_t tmp; + deq_k(pk4x4 + (ii + tx)/nl_k, (ii + tx)%nl_k, tmp); + sk4x4[4*ty + tx] = tmp; + } + + simdgroup_barrier(mem_flags::mem_threadgroup); + + FOR_UNROLL (short k = 0; k < 4; ++k) { + k8x8_t mk; + q8x8_t mq; + + simdgroup_load(mk, sk + 16*k + 0*8, 4*16, 0, true); // transpose + simdgroup_load(mq, sq + (2*(ii + k) + 0)*8, DK); + simdgroup_multiply_accumulate(mqk, mq, mk, mqk); + + simdgroup_load(mk, sk + 16*k + 1*8, 4*16, 0, true); // transpose + simdgroup_load(mq, sq + (2*(ii + k) + 1)*8, DK); + simdgroup_multiply_accumulate(mqk, mq, mk, mqk); + } + } else { + if (ii + tx < DK16) { + k4x4_t tmp; + deq_k(pk4x4 + (ii + tx)/nl_k, (ii + tx)%nl_k, tmp); + sk4x4[4*ty + tx] = tmp; + } + + simdgroup_barrier(mem_flags::mem_threadgroup); + + for (short k = 0; k < 4 && ii + k < DK16; ++k) { + k8x8_t mk; + q8x8_t mq; + + simdgroup_load(mk, sk + 16*k + 0*8, 4*16, 0, true); // transpose + simdgroup_load(mq, sq + (2*(ii + k) + 0)*8, DK); + simdgroup_multiply_accumulate(mqk, mq, mk, mqk); + + simdgroup_load(mk, sk + 16*k + 1*8, 4*16, 0, true); // transpose + simdgroup_load(mq, sq + (2*(ii + k) + 1)*8, DK); + simdgroup_multiply_accumulate(mqk, mq, mk, mqk); + } + } + } + + simdgroup_store(mqk, ss + 8*cc, SH, 0, false); + } + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + // online softmax + FOR_UNROLL (short jj = 0; jj < NQ; ++jj) { + const short j = jj*NSG + sgitg; + + const float m = M[jj]; + + // scale and apply the logitcap / mask + float2 s2 = ss2[j*SH/2 + tiisg]*args.scale; + + if (FC_flash_attn_ext_has_scap) { + s2 = args.logit_softcap*precise::tanh(s2); + } + + // mqk = mqk + slope*mask + if (FC_flash_attn_ext_has_bias) { + s2 += s2_t(sm2[j*SH + tiisg])*slope; + } else { + s2 += s2_t(sm2[j*SH + tiisg]); + } + + M[jj] = simd_max(max(M[jj], max(s2[0], s2[1]))); + + const float ms = exp(m - M[jj]); + const float2 vs2 = exp(s2 - M[jj]); + + S[jj] = S[jj]*ms + simd_sum(vs2[0] + vs2[1]); + + // the P matrix from the paper (Q rows, C columns) + ss2[j*SH/2 + tiisg] = vs2; + + if (DV4 % NW == 0) { + FOR_UNROLL (short ii = 0; ii < DV4/NW; ++ii) { + const short i = ii*NW + tiisg; + + so4[j*PV4 + i] *= ms; + } + } else { + for (short i = tiisg; i < DV4; i += NW) { + so4[j*PV4 + i] *= ms; + } + } + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + // O = O + (Q*K^T)*V + { + // we can read directly from global memory + if (is_same::value) { + static_assert(PV8 % NSG == 0, ""); + + constexpr short NO = PV8/NSG; + + o8x8_t lo[NO]; + + { + auto sot = so + 8*sgitg; + + FOR_UNROLL (short ii = 0; ii < NO; ++ii) { + simdgroup_load(lo[ii], sot, PV, 0, false); + + sot += 8*NSG; + } + } + + { + device const v_t * pv = (device const v_t *) (v + ic*args.nb21); + + pv += 8*sgitg; + + if (DV <= 64) { + FOR_UNROLL (short cc = 0; cc < C/8; ++cc) { + s8x8_t vs; + simdgroup_load(vs, ss + 8*cc, SH, 0, false); + + FOR_UNROLL (short ii = 0; ii < NO/2; ++ii) { + v8x8_t mv[2]; + + simdgroup_load(mv[0], pv + 0*NSG + 16*ii*NSG, NS20, 0, false); + simdgroup_load(mv[1], pv + 8*NSG + 16*ii*NSG, NS20, 0, false); + + simdgroup_multiply_accumulate(lo[2*ii + 0], vs, mv[0], lo[2*ii + 0]); + simdgroup_multiply_accumulate(lo[2*ii + 1], vs, mv[1], lo[2*ii + 1]); + } + + pv += 8*NS20; + } + } else { + FOR_UNROLL (short cc = 0; cc < (C/8)/2; ++cc) { + s8x8_t vs[2]; + + simdgroup_load(vs[0], ss + 16*cc + 0, SH, 0, false); + simdgroup_load(vs[1], ss + 16*cc + 8, SH, 0, false); + + FOR_UNROLL (short ii = 0; ii < NO/2; ++ii) { + v8x8_t mv[4]; + + simdgroup_load(mv[0], pv + 0*NSG + 16*ii*NSG + 0*8*NS20, NS20, 0, false); + simdgroup_load(mv[1], pv + 8*NSG + 16*ii*NSG + 0*8*NS20, NS20, 0, false); + simdgroup_load(mv[2], pv + 0*NSG + 16*ii*NSG + 1*8*NS20, NS20, 0, false); + simdgroup_load(mv[3], pv + 8*NSG + 16*ii*NSG + 1*8*NS20, NS20, 0, false); + + simdgroup_multiply_accumulate(lo[2*ii + 0], vs[0], mv[0], lo[2*ii + 0]); + simdgroup_multiply_accumulate(lo[2*ii + 1], vs[0], mv[1], lo[2*ii + 1]); + simdgroup_multiply_accumulate(lo[2*ii + 0], vs[1], mv[2], lo[2*ii + 0]); + simdgroup_multiply_accumulate(lo[2*ii + 1], vs[1], mv[3], lo[2*ii + 1]); + } + + pv += 2*8*NS20; + } + } + } + + { + auto sot = so + 8*sgitg; + + FOR_UNROLL (short ii = 0; ii < NO; ++ii) { + simdgroup_store(lo[ii], sot, PV, 0, false); + + sot += 8*NSG; + } + } + } else { + // TODO: this is the quantized V cache branch - not optimized yet + + const short tx = tiisg%4; + const short ty = tiisg/4; + + for (short cc = 0; cc < C/8; ++cc) { + s8x8_t vs; + simdgroup_load(vs, ss + 8*cc, SH, 0, false); + + for (short ii = 4*sgitg; ii < DV16; ii += 4*NSG) { + device const vd4x4_t * pv4x4 = (device const vd4x4_t *) (v + ((ic + 8*cc + ty)*args.nb21)); + + if (DV16%4 == 0) { + // no need for bound checks + { + v4x4_t tmp; + deq_v(pv4x4 + (ii + tx)/nl_v, (ii + tx)%nl_v, tmp); + sv4x4[4*ty + tx] = tmp; + } + + simdgroup_barrier(mem_flags::mem_threadgroup); + + FOR_UNROLL (short k = 0; k < 4; ++k) { + v8x8_t mv[2]; + o8x8_t lo[2]; + + simdgroup_load(mv[0], sv + 16*k + 0*8, 4*16, 0, false); + simdgroup_load(mv[1], sv + 16*k + 1*8, 4*16, 0, false); + simdgroup_load(lo[0], so + 8*(2*(ii + k) + 0), PV, 0, false); + simdgroup_load(lo[1], so + 8*(2*(ii + k) + 1), PV, 0, false); + + simdgroup_multiply_accumulate(lo[0], vs, mv[0], lo[0]); + simdgroup_multiply_accumulate(lo[1], vs, mv[1], lo[1]); + + simdgroup_store(lo[0], so + 8*(2*(ii + k) + 0), PV, 0, false); + simdgroup_store(lo[1], so + 8*(2*(ii + k) + 1), PV, 0, false); + } + } else { + if (ii + tx < DV16) { + v4x4_t tmp; + deq_v(pv4x4 + (ii + tx)/nl_v, (ii + tx)%nl_v, tmp); + sv4x4[4*ty + tx] = tmp; + } + + simdgroup_barrier(mem_flags::mem_threadgroup); + + for (short k = 0; k < 4 && ii + k < DV16; ++k) { + v8x8_t mv[2]; + o8x8_t lo[2]; + + simdgroup_load(mv[0], sv + 16*k + 0*8, 4*16, 0, false); + simdgroup_load(mv[1], sv + 16*k + 1*8, 4*16, 0, false); + simdgroup_load(lo[0], so + 8*(2*(ii + k) + 0), PV, 0, false); + simdgroup_load(lo[1], so + 8*(2*(ii + k) + 1), PV, 0, false); + + simdgroup_multiply_accumulate(lo[0], vs, mv[0], lo[0]); + simdgroup_multiply_accumulate(lo[1], vs, mv[1], lo[1]); + + simdgroup_store(lo[0], so + 8*(2*(ii + k) + 0), PV, 0, false); + simdgroup_store(lo[1], so + 8*(2*(ii + k) + 1), PV, 0, false); + } + } + } + } + } + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + } + + if (FC_flash_attn_ext_has_sinks) { + FOR_UNROLL (short jj = 0; jj < NQ; ++jj) { + const short j = jj*NSG + sgitg; + + const float m = M[jj]; + const float s = tiisg == 0 ? ((device const float *) sinks)[iq2] : -FLT_MAX/2; + + M[jj] = simd_max(max(M[jj], s)); + + const float ms = exp(m - M[jj]); + const float vs = exp(s - M[jj]); + + S[jj] = S[jj]*ms + simd_sum(vs); + + for (short i = tiisg; i < DV4; i += NW) { + so4[j*PV4 + i] *= ms; + } + } + } + } + + // store to global memory + for (short jj = 0; jj < NQ; ++jj) { + const short j = jj*NSG + sgitg; + if (iq1 + j >= args.ne01) { + break; + } + + device float4 * dst4 = (device float4 *) dst + ((uint64_t)iq3*args.ne2*args.ne1 + iq2 + (uint64_t)(iq1 + j)*args.ne1)*DV4; + + const float scale = S[jj] == 0.0 ? 0.0f : 1.0f/S[jj]; + + if (DV4 % NW == 0) { + FOR_UNROLL (short ii = 0; ii < DV4/NW; ++ii) { + const short i = ii*NW + tiisg; + + dst4[i] = (float4) so4[j*PV4 + i]*scale; + } + } else { + for (short i = tiisg; i < DV4; i += NW) { + dst4[i] = (float4) so4[j*PV4 + i]*scale; + } + } + } + +#undef NS10 +#undef NS20 +} + +template< + typename q_t, // query types in shared memory + typename q4_t, + typename q8x8_t, + typename k_t, // key types in shared memory + typename k4x4_t, + typename k8x8_t, + typename v_t, // value types in shared memory + typename v4x4_t, + typename v8x8_t, + typename qk_t, // Q*K types + typename qk8x8_t, + typename s_t, // soft-max types + typename s2_t, + typename s8x8_t, + typename o_t, // attention accumulation types + typename o4_t, + typename o8x8_t, + typename kd4x4_t, // key type in device memory + short nl_k, + void (*deq_k)(device const kd4x4_t *, short, thread k4x4_t &), + typename vd4x4_t, // value type in device memory + short nl_v, + void (*deq_v)(device const vd4x4_t *, short, thread v4x4_t &), + short DK, // K head size + short DV, // V head size + short Q = OP_FLASH_ATTN_EXT_NQPTG, // queries per threadgroup + short C = OP_FLASH_ATTN_EXT_NCPSG> // cache items per threadgroup +kernel void kernel_flash_attn_ext( + constant lm_ggml_metal_kargs_flash_attn_ext & args, + device const char * q, + device const char * k, + device const char * v, + device const char * mask, + device const char * sinks, + device const char * pad, + device const char * blk, + device char * dst, + threadgroup half * shmem_f16 [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { +#define FWD_TMPL q_t, q4_t, q8x8_t, k_t, k4x4_t, k8x8_t, v_t, v4x4_t, v8x8_t, qk_t, qk8x8_t, s_t, s2_t, s8x8_t, o_t, o4_t, o8x8_t, kd4x4_t, nl_k, deq_k, vd4x4_t, nl_v, deq_v, DK, DV, Q, C +#define FWD_ARGS args, q, k, v, mask, sinks, pad, blk, dst, shmem_f16, tgpig, tiisg, sgitg + switch (FC_flash_attn_ext_nsg) { + // note: disabled cases to reduce library load time + //case 1: kernel_flash_attn_ext_impl(FWD_ARGS); break; + //case 2: kernel_flash_attn_ext_impl(FWD_ARGS); break; + case 4: kernel_flash_attn_ext_impl(FWD_ARGS); break; + } +#undef FWD_TMPL +#undef FWD_ARGS +} + +// TODO: this is quite ugly. in the future these types will be hardcoded in the kernel, but for now keep them as +// template to be able to explore different combinations +// +#define FA_TYPES \ + half, half4, simdgroup_half8x8, \ + half, half4x4, simdgroup_half8x8, \ + half, half4x4, simdgroup_half8x8, \ + float, simdgroup_float8x8, \ + float, float2, simdgroup_float8x8, \ + float, float4, simdgroup_float8x8 + //half, half4, simdgroup_half8x8 + +#define FA_TYPES_BF \ + bfloat, bfloat4, simdgroup_bfloat8x8, \ + bfloat, bfloat4x4, simdgroup_bfloat8x8, \ + bfloat, bfloat4x4, simdgroup_bfloat8x8, \ + float, simdgroup_float8x8, \ + float, float2, simdgroup_float8x8, \ + half, half4, simdgroup_half8x8 + //float, float4, simdgroup_float8x8 + +#define FA_TYPES_F32 \ + half, half4, simdgroup_half8x8, \ + float, float4x4, simdgroup_float8x8, \ + float, float4x4, simdgroup_float8x8, \ + float, simdgroup_float8x8, \ + float, float2, simdgroup_float8x8, \ + float, float4, simdgroup_float8x8 + //half, half4, simdgroup_half8x8 + +typedef decltype(kernel_flash_attn_ext) flash_attn_ext_t; + +template [[host_name("kernel_flash_attn_ext_f32_dk32_dv32" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f32_dk40_dv40" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f32_dk64_dv64" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f32_dk72_dv72" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f32_dk80_dv80" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f32_dk96_dv96" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f32_dk112_dv112")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f32_dk128_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f32_dk192_dv192")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f32_dk192_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f32_dk256_dv256")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f32_dk576_dv512")]] kernel flash_attn_ext_t kernel_flash_attn_ext; + +template [[host_name("kernel_flash_attn_ext_f16_dk32_dv32" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f16_dk40_dv40" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f16_dk64_dv64" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f16_dk72_dv72" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f16_dk80_dv80" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f16_dk96_dv96" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f16_dk112_dv112")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f16_dk128_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f16_dk192_dv192")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f16_dk192_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f16_dk256_dv256")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_f16_dk576_dv512")]] kernel flash_attn_ext_t kernel_flash_attn_ext; + +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_flash_attn_ext_bf16_dk32_dv32" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_bf16_dk40_dv40" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_bf16_dk64_dv64" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_bf16_dk72_dv72" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_bf16_dk80_dv80" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_bf16_dk96_dv96" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_bf16_dk112_dv112")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_bf16_dk128_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_bf16_dk192_dv192")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_bf16_dk192_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_bf16_dk256_dv256")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_bf16_dk576_dv512")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +#endif + +template [[host_name("kernel_flash_attn_ext_q4_0_dk32_dv32" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_0_dk40_dv40" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_0_dk64_dv64" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_0_dk72_dv72" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_0_dk80_dv80" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_0_dk96_dv96" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_0_dk112_dv112")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_0_dk128_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_0_dk192_dv192")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_0_dk192_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_0_dk256_dv256")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_0_dk576_dv512")]] kernel flash_attn_ext_t kernel_flash_attn_ext; + +template [[host_name("kernel_flash_attn_ext_q4_1_dk32_dv32" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_1_dk40_dv40" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_1_dk64_dv64" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_1_dk72_dv72" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_1_dk80_dv80" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_1_dk96_dv96" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_1_dk112_dv112")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_1_dk128_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_1_dk192_dv192")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_1_dk192_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_1_dk256_dv256")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q4_1_dk576_dv512")]] kernel flash_attn_ext_t kernel_flash_attn_ext; + +template [[host_name("kernel_flash_attn_ext_q5_0_dk32_dv32" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_0_dk40_dv40" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_0_dk64_dv64" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_0_dk72_dv72" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_0_dk80_dv80" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_0_dk96_dv96" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_0_dk112_dv112")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_0_dk128_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_0_dk192_dv192")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_0_dk192_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_0_dk256_dv256")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_0_dk576_dv512")]] kernel flash_attn_ext_t kernel_flash_attn_ext; + +template [[host_name("kernel_flash_attn_ext_q5_1_dk32_dv32" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_1_dk40_dv40" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_1_dk64_dv64" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_1_dk72_dv72" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_1_dk80_dv80" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_1_dk96_dv96" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_1_dk112_dv112")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_1_dk128_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_1_dk192_dv192")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_1_dk192_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_1_dk256_dv256")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q5_1_dk576_dv512")]] kernel flash_attn_ext_t kernel_flash_attn_ext; + +template [[host_name("kernel_flash_attn_ext_q8_0_dk32_dv32" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q8_0_dk40_dv40" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q8_0_dk64_dv64" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q8_0_dk72_dv72" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q8_0_dk80_dv80" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q8_0_dk96_dv96" )]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q8_0_dk112_dv112")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q8_0_dk128_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q8_0_dk192_dv192")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q8_0_dk192_dv128")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q8_0_dk256_dv256")]] kernel flash_attn_ext_t kernel_flash_attn_ext; +template [[host_name("kernel_flash_attn_ext_q8_0_dk576_dv512")]] kernel flash_attn_ext_t kernel_flash_attn_ext; + +#undef FA_TYPES +#undef FA_TYPES_BF +#undef FA_TYPES_F32 + +constant bool FC_flash_attn_ext_vec_has_mask [[function_constant(FC_FLASH_ATTN_EXT_VEC + 0)]]; +constant bool FC_flash_attn_ext_vec_has_sinks [[function_constant(FC_FLASH_ATTN_EXT_VEC + 1)]]; +constant bool FC_flash_attn_ext_vec_has_bias [[function_constant(FC_FLASH_ATTN_EXT_VEC + 2)]]; +constant bool FC_flash_attn_ext_vec_has_scap [[function_constant(FC_FLASH_ATTN_EXT_VEC + 3)]]; +constant bool FC_flash_attn_ext_vec_has_kvpad [[function_constant(FC_FLASH_ATTN_EXT_VEC + 4)]]; + +//constant float FC_flash_attn_ext_vec_scale [[function_constant(FC_FLASH_ATTN_EXT_VEC + 10)]]; +//constant float FC_flash_attn_ext_vec_max_bias [[function_constant(FC_FLASH_ATTN_EXT_VEC + 11)]]; +//constant float FC_flash_attn_ext_vec_logit_softcap [[function_constant(FC_FLASH_ATTN_EXT_VEC + 12)]]; + +constant int32_t FC_flash_attn_ext_vec_ns10 [[function_constant(FC_FLASH_ATTN_EXT_VEC + 20)]]; +constant int32_t FC_flash_attn_ext_vec_ns20 [[function_constant(FC_FLASH_ATTN_EXT_VEC + 21)]]; +constant int32_t FC_flash_attn_ext_vec_nsg [[function_constant(FC_FLASH_ATTN_EXT_VEC + 22)]]; +constant int32_t FC_flash_attn_ext_vec_nwg [[function_constant(FC_FLASH_ATTN_EXT_VEC + 23)]]; + +template< + typename q4_t, // query types in shared memory + typename k4_t, // key types in shared memory + typename v4_t, // value types in shared memory + typename qk_t, // Q*K types + typename s_t, // soft-max types + typename s4_t, + typename o4_t, // attention accumulation types + typename kd4_t, // key type in device memory + short nl_k, + void (*deq_k_t4)(device const kd4_t *, short, thread k4_t &), + typename vd4_t, // value type in device memory + short nl_v, + void (*deq_v_t4)(device const vd4_t *, short, thread v4_t &), + short DK, // K head size + short DV, // V head size + short NE, // head elements per thread + short Q, // queries per threadgroup + short C, // cache items per threadgroup + short NSG> // number of simd groups +void kernel_flash_attn_ext_vec_impl( + constant lm_ggml_metal_kargs_flash_attn_ext_vec & args, + device const char * q, + device const char * k, + device const char * v, + device const char * mask, + device const char * sinks, + device const char * pad, + device char * dst, + threadgroup half * shmem_f16 [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + static_assert(DK % 32 == 0, "DK must be divisible by 32"); + static_assert(DV % 32 == 0, "DV must be divisible by 32"); + +#define NWG (FC_flash_attn_ext_vec_nwg) + +#define NS10 (FC_flash_attn_ext_vec_ns10) +#define NS20 (FC_flash_attn_ext_vec_ns20) + + const short iwg = tgpig[2]%NWG; + + const ushort iq3 = tgpig[2]/NWG; + const ushort iq2 = tgpig[1]; + const ushort iq1 = tgpig[0]; + + constexpr short DK4 = DK/4; + constexpr short DV4 = DV/4; + + constexpr short PK = PAD2(DK, 128); + constexpr short PK4 = PK/4; + + constexpr short PV = PAD2(DV, 128); + constexpr short PV4 = PV/4; + + constexpr short NW = N_SIMDWIDTH; + constexpr short NL = NW/NE; // note: this can be adjusted to support different head sizes and simdgroup work loads + constexpr short SH = 4*C; // shared memory per simdgroup + + static_assert(DK4 % NL == 0, "DK4 must be divisible by NL"); + static_assert(DV4 % NL == 0, "DV4 must be divisible by NL"); + + const short T = PK + NSG*SH; // shared memory size per query in (half) + + //threadgroup q_t * sq = (threadgroup q_t *) (shmem_f16 + 0*PK); // holds the query data + threadgroup q4_t * sq4 = (threadgroup q4_t *) (shmem_f16 + 0*PK); // same as above but in q4_t + threadgroup s_t * ss = (threadgroup s_t *) (shmem_f16 + sgitg*SH + Q*PK); // scratch buffer for attention + threadgroup s4_t * ss4 = (threadgroup s4_t *) (shmem_f16 + sgitg*SH + Q*PK); // same as above but in s4_t + threadgroup half * sm = (threadgroup half *) (shmem_f16 + sgitg*SH + 2*C + Q*PK); // scratch buffer for mask + threadgroup o4_t * so4 = (threadgroup o4_t *) (shmem_f16 + 2*sgitg*PV + Q*T); // scratch buffer for the results + + // store the result for all queries in shared memory (the O matrix from the paper) + so4 += tiisg; + + { + q += iq1*args.nb01 + iq2*args.nb02 + iq3*args.nb03; + + const short ikv2 = iq2/(args.ne02/args.ne_12_2); + const short ikv3 = iq3/(args.ne03/args.ne_12_3); + + k += ikv2*args.nb12 + ikv3*args.nb13; + v += ikv2*args.nb22 + ikv3*args.nb23; + } + + // load heads from Q to shared memory + device const float4 * q4 = (device const float4 *) ((device const char *) q); + + for (short i = tiisg; i < PK4; i += NW) { + if (iq1 < args.ne01 && i < DK4) { + sq4[i] = (q4_t) q4[i]; + } else { + sq4[i] = (q4_t) 0.0f; + } + } + + // zero out so + for (short i = 0; i < DV4/NL; ++i) { + so4[i*NL] = (o4_t) 0.0f; + } + + // zero out shared memory SH + for (short i = tiisg; i < SH/4; i += NW) { + ss4[i] = (s4_t) 0.0f; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + { + float S = 0.0f; + float M = -FLT_MAX/2; + + // thread indices inside the simdgroup + const short tx = tiisg%NL; + const short ty = tiisg/NL; + + // pointer to the mask + device const half * pm = (device const half *) (mask + iq1*args.nb31 + (iq2%args.ne32)*args.nb32 + (iq3%args.ne33)*args.nb33); + + float slope = 1.0f; + + // ALiBi + if (FC_flash_attn_ext_vec_has_bias) { + const short h = iq2; + + const float base = h < args.n_head_log2 ? args.m0 : args.m1; + const short exph = h < args.n_head_log2 ? h + 1 : 2*(h - args.n_head_log2) + 1; + + slope = pow(base, exph); + } + + // loop over the KV cache + // each simdgroup handles blocks of Q rows and C columns + for (int ic0 = iwg*NSG + sgitg; ; ic0 += NWG*NSG) { + int ic = ic0*C; + if (ic >= args.ne11) { + break; + } + + // the last partial chunk uses the pad buffer as source + if (FC_flash_attn_ext_vec_has_kvpad && ic + C > args.ne11) { + k = pad; + v = k + args.nb11*C*args.ne_12_2*args.ne_12_3; + mask = v + args.nb21*C*args.ne_12_2*args.ne_12_3; + + const short ikv2 = iq2/(args.ne02/args.ne_12_2); + const short ikv3 = iq3/(args.ne03/args.ne_12_3); + + k += (ikv2 + ikv3*args.ne_12_2)*args.nb11*C; + v += (ikv2 + ikv3*args.ne_12_2)*args.nb21*C; + + if (!FC_flash_attn_ext_vec_has_mask) { + if (ic + tiisg >= args.ne11) { + sm[tiisg] = -MAXHALF; + } + } else { + pm = (device const half *) (mask) + + iq1*C + + (iq2%args.ne32)*(C*args.ne31) + + (iq3%args.ne33)*(C*args.ne31*args.ne32); + } + + ic = 0; + } + + if (FC_flash_attn_ext_vec_has_mask) { + sm[tiisg] = pm[ic + tiisg]; + } + + // skip -INF blocks + if (simd_max(sm[tiisg]) == -INFINITY) { + continue; + } + + // Q*K^T + { + device const k4_t * pk4 = (device const k4_t *) (k + ic*args.nb11); + threadgroup const q4_t * pq4 = sq4; + + pk4 += ty*NS10/4 + tx; + pq4 += tx; + + qk_t mqk[C/NE] = { [ 0 ... C/NE - 1] = 0.0f }; + + // each simdgroup processes 1 query and NE (NW/NL) cache elements + FOR_UNROLL (short cc = 0; cc < C/NE; ++cc) { + if (is_same::value) { + FOR_UNROLL (short ii = 0; ii < DK4/NL; ++ii) { + mqk[cc] += dot((float4) pk4[cc*NE*NS10/4 + ii*NL], (float4) pq4[ii*NL]); + } + } else { + device const kd4_t * pk = (device const kd4_t *) (k + ((ic + NE*cc + ty)*args.nb11)); + + k4_t mk; + + FOR_UNROLL (short ii = 0; ii < DK4/NL; ++ii) { + const short i = ii*NL + tx; + + deq_k_t4(pk + i/nl_k, i%nl_k, mk); + + mqk[cc] += dot((float4) mk, (float4) sq4[i]); + } + } + + if (NE == 1) { + mqk[cc] = simd_sum(mqk[cc]); + } else { + // simdgroup reduce (NE = 4) + // [ 0 .. 7] -> [ 0] + // [ 8 .. 15] -> [ 8] + // [16 .. 23] -> [16] + // [24 .. 31] -> [24] + if (NE <= 1) { + mqk[cc] += simd_shuffle_down(mqk[cc], 16); + } + if (NE <= 2) { + mqk[cc] += simd_shuffle_down(mqk[cc], 8); + } + if (NE <= 4) { + mqk[cc] += simd_shuffle_down(mqk[cc], 4); + } + if (NE <= 8) { + mqk[cc] += simd_shuffle_down(mqk[cc], 2); + } + if (NE <= 16) { + mqk[cc] += simd_shuffle_down(mqk[cc], 1); + } + + // broadcast + mqk[cc] = simd_shuffle(mqk[cc], NL*ty); + } + } + + if (FC_flash_attn_ext_vec_has_mask && + !FC_flash_attn_ext_vec_has_scap && + !FC_flash_attn_ext_vec_has_bias) { + ss[NE*tx + ty] = fma(mqk[tx], args.scale, (qk_t) sm[NE*tx + ty]); + } else { + mqk[tx] *= args.scale; + + if (FC_flash_attn_ext_vec_has_scap) { + mqk[tx] = args.logit_softcap*precise::tanh(mqk[tx]); + } + + if (FC_flash_attn_ext_vec_has_bias) { + mqk[tx] += (qk_t) sm[NE*tx + ty]*slope; + } else { + mqk[tx] += (qk_t) sm[NE*tx + ty]; + } + + ss[NE*tx + ty] = mqk[tx]; + } + } + + simdgroup_barrier(mem_flags::mem_threadgroup); + + // online softmax + { + const float m = M; + const float s = ss[tiisg]; + + M = simd_max(max(M, s)); + + const float ms = exp(m - M); + const float vs = exp(s - M); + + S = S*ms + simd_sum(vs); + + // the P matrix from the paper (Q rows, C columns) + ss[tiisg] = vs; + + // O = diag(ms)*O + if ((DV4/NL % NW == 0) || ty == 0) { + FOR_UNROLL (short ii = 0; ii < DV4/NL; ++ii) { + so4[ii*NL] *= ms; + } + } + } + + simdgroup_barrier(mem_flags::mem_threadgroup); + + // O = O + (Q*K^T)*V + { + o4_t lo[DV4/NL]; + FOR_UNROLL (short ii = 0; ii < DV4/NL; ++ii) { + lo[ii] = 0.0f; + } + + if (is_same::value) { + device const v4_t * pv4 = (device const v4_t *) (v + ic*args.nb21); + + pv4 += ty*NS20/4 + tx; + + const auto sst = ss + ty; + + FOR_UNROLL (short cc = 0; cc < C/NE; ++cc) { + FOR_UNROLL (short ii = 0; ii < DV4/NL; ++ii) { + lo[ii] += o4_t(float4(pv4[cc*NE*NS20/4 + ii*NL])*float4(sst[cc*NE])); + } + } + } else { + FOR_UNROLL (short cc = 0; cc < C/NE; ++cc) { + device const vd4_t * pv4 = (device const vd4_t *) (v + ((ic + NE*cc + ty)*args.nb21)); + + FOR_UNROLL (short ii = 0; ii < DV4/NL; ++ii) { + const short i = ii*NL + tx; + + v4_t mv; + deq_v_t4(pv4 + i/nl_v, i%nl_v, mv); + + lo[ii] += o4_t(float4(mv)*float4(ss[NE*cc + ty])); + } + } + } + + FOR_UNROLL (short ii = 0; ii < DV4/NL; ++ii) { + if (NE > 1) { + lo[ii][0] += simd_shuffle_down(lo[ii][0], 16); + lo[ii][1] += simd_shuffle_down(lo[ii][1], 16); + lo[ii][2] += simd_shuffle_down(lo[ii][2], 16); + lo[ii][3] += simd_shuffle_down(lo[ii][3], 16); + } + + if (NE > 2) { + lo[ii][0] += simd_shuffle_down(lo[ii][0], 8); + lo[ii][1] += simd_shuffle_down(lo[ii][1], 8); + lo[ii][2] += simd_shuffle_down(lo[ii][2], 8); + lo[ii][3] += simd_shuffle_down(lo[ii][3], 8); + } + + if (NE > 4) { + lo[ii][0] += simd_shuffle_down(lo[ii][0], 4); + lo[ii][1] += simd_shuffle_down(lo[ii][1], 4); + lo[ii][2] += simd_shuffle_down(lo[ii][2], 4); + lo[ii][3] += simd_shuffle_down(lo[ii][3], 4); + } + + if (NE > 8) { + lo[ii][0] += simd_shuffle_down(lo[ii][0], 2); + lo[ii][1] += simd_shuffle_down(lo[ii][1], 2); + lo[ii][2] += simd_shuffle_down(lo[ii][2], 2); + lo[ii][3] += simd_shuffle_down(lo[ii][3], 2); + } + + if (NE > 16) { + lo[ii][0] += simd_shuffle_down(lo[ii][0], 1); + lo[ii][1] += simd_shuffle_down(lo[ii][1], 1); + lo[ii][2] += simd_shuffle_down(lo[ii][2], 1); + lo[ii][3] += simd_shuffle_down(lo[ii][3], 1); + } + } + + if ((DV4/NL % NW == 0) || ty == 0) { + FOR_UNROLL (short ii = 0; ii < DV4/NL; ++ii) { + so4[ii*NL] += lo[ii]; + } + } + } + } + + if (FC_flash_attn_ext_vec_has_sinks && sgitg == 0 && iwg == 0) { + const float m = M; + const float s = tiisg == 0 ? ((device const float *) sinks)[iq2] : -FLT_MAX/2; + + M = simd_max(max(M, s)); + + const float ms = exp(m - M); + const float vs = exp(s - M); + + S = S*ms + simd_sum(vs); + + if ((DV4/NL % NW == 0) || ty == 0) { + FOR_UNROLL (short ii = 0; ii < DV4/NL; ++ii) { + so4[ii*NL] *= ms; + } + } + } + + // these are needed for reducing the results from the simdgroups (reuse the ss buffer) + if (tiisg == 0) { + ss[0] = (s_t) S; + ss[1] = (s_t) M; + } + } + + so4 -= tiisg; + + threadgroup_barrier(mem_flags::mem_threadgroup); + + // parallel reduce + for (short r = NSG/2; r > 0; r >>= 1) { + if (sgitg < r) { + const float S0 = ss[ 0]; + const float S1 = ss[r*(SH/2) + 0]; + + const float M0 = ss[ 1]; + const float M1 = ss[r*(SH/2) + 1]; + + const float M = max(M0, M1); + + const float ms0 = exp(M0 - M); + const float ms1 = exp(M1 - M); + + const float S = S0*ms0 + S1*ms1; + + if (tiisg == 0) { + ss[0] = S; + ss[1] = M; + } + + // O_0 = diag(ms0)*O_0 + diag(ms1)*O_1 + for (short i = tiisg; i < DV4; i += NW) { + so4[i] = so4[i]*ms0 + so4[i + r*PV4]*ms1; + } + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + } + + // final rescale with 1/S and store to global memory + if (sgitg == 0) { + const int64_t nrows = args.ne3*args.ne2*args.ne1; + const int64_t rid = iq3*args.ne2*args.ne1 + iq2 + iq1*args.ne1; + + device float4 * dst4 = (device float4 *) dst; + device float * dst1 = (device float *) dst + nrows*DV*NWG; // the S and M are stored after the results + + const float S = NWG == 1 ? (ss[0] == 0.0f ? 0.0f : 1.0f/ss[0]) : 1.0f; + + // interleave the workgroup data + for (short i = tiisg; i < DV4; i += NW) { + dst4[rid*DV4*NWG + NWG*i + iwg] = (float4) so4[i]*S; + } + + // store S and M + if (NWG > 1) { + if (tiisg == 0) { + dst1[rid*(2*NWG) + 2*iwg + 0] = ss[0]; + dst1[rid*(2*NWG) + 2*iwg + 1] = ss[1]; + } + } + } + +#undef NWG +#undef NS10 +#undef NS20 +} + +template< + typename q4_t, // query types in shared memory + typename k4_t, // key types in shared memory + typename v4_t, // value types in shared memory + typename qk_t, // Q*K types + typename s_t, // soft-max types + typename s4_t, + typename o4_t, // attention accumulation types + typename kd4_t, // key type in device memory + short nl_k, + void (*deq_k_t4)(device const kd4_t *, short, thread k4_t &), + typename vd4_t, // value type in device memory + short nl_v, + void (*deq_v_t4)(device const vd4_t *, short, thread v4_t &), + short DK, // K head size + short DV, // V head size + short NE = 4, // head elements per thread + short Q = OP_FLASH_ATTN_EXT_VEC_NQPTG, // queries per threadgroup + short C = OP_FLASH_ATTN_EXT_VEC_NCPSG> // cache items per threadgroup +kernel void kernel_flash_attn_ext_vec( + constant lm_ggml_metal_kargs_flash_attn_ext_vec & args, + device const char * q, + device const char * k, + device const char * v, + device const char * mask, + device const char * sinks, + device const char * pad, + device char * dst, + threadgroup half * shmem_f16 [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { +#define FWD_TMPL q4_t, k4_t, v4_t, qk_t, s_t, s4_t, o4_t, kd4_t, nl_k, deq_k_t4, vd4_t, nl_v, deq_v_t4, DK, DV, NE, Q, C +#define FWD_ARGS args, q, k, v, mask, sinks, pad, dst, shmem_f16, tgpig, tiisg, sgitg + switch (FC_flash_attn_ext_vec_nsg) { + // note: disabled cases to reduce library load time + case 1: kernel_flash_attn_ext_vec_impl(FWD_ARGS); break; + case 2: kernel_flash_attn_ext_vec_impl(FWD_ARGS); break; + case 4: kernel_flash_attn_ext_vec_impl(FWD_ARGS); break; + //case 8: kernel_flash_attn_ext_vec_impl(FWD_ARGS); break; + //case 16: kernel_flash_attn_ext_vec_impl(FWD_ARGS); break; + //case 32: kernel_flash_attn_ext_vec_impl(FWD_ARGS); break; + } +#undef FWD_TMPL +#undef FWD_ARGS +} + +// note: I think the s_t can be half instead of float, because the Q*K scaling is done before storing to shared mem +// in the other (non-vec) kernel, we need s_t to also be float because we scale during the soft_max +// +#define FA_TYPES \ + half4, \ + half4, \ + half4, \ + float, \ + float, float4, \ + float4 + +#define FA_TYPES_F32 \ + half4, \ + float4, \ + float4, \ + float, \ + float, float4, \ + float4 + +typedef decltype(kernel_flash_attn_ext_vec) flash_attn_ext_vec_t; + +template [[host_name("kernel_flash_attn_ext_vec_f32_dk32_dv32")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_f16_dk32_dv32")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_flash_attn_ext_vec_bf16_dk32_dv32")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#endif +template [[host_name("kernel_flash_attn_ext_vec_q4_0_dk32_dv32")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q4_1_dk32_dv32")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_0_dk32_dv32")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_1_dk32_dv32")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q8_0_dk32_dv32")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; + +template [[host_name("kernel_flash_attn_ext_vec_f32_dk64_dv64")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_f16_dk64_dv64")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_flash_attn_ext_vec_bf16_dk64_dv64")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#endif +template [[host_name("kernel_flash_attn_ext_vec_q4_0_dk64_dv64")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q4_1_dk64_dv64")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_0_dk64_dv64")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_1_dk64_dv64")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q8_0_dk64_dv64")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; + +template [[host_name("kernel_flash_attn_ext_vec_f32_dk96_dv96")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_f16_dk96_dv96")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_flash_attn_ext_vec_bf16_dk96_dv96")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#endif +template [[host_name("kernel_flash_attn_ext_vec_q4_0_dk96_dv96")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q4_1_dk96_dv96")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_0_dk96_dv96")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_1_dk96_dv96")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q8_0_dk96_dv96")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; + +template [[host_name("kernel_flash_attn_ext_vec_f32_dk128_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_f16_dk128_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_flash_attn_ext_vec_bf16_dk128_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#endif +template [[host_name("kernel_flash_attn_ext_vec_q4_0_dk128_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q4_1_dk128_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_0_dk128_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_1_dk128_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q8_0_dk128_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; + +template [[host_name("kernel_flash_attn_ext_vec_f32_dk192_dv192")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_f16_dk192_dv192")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_flash_attn_ext_vec_bf16_dk192_dv192")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#endif +template [[host_name("kernel_flash_attn_ext_vec_q4_0_dk192_dv192")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q4_1_dk192_dv192")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_0_dk192_dv192")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_1_dk192_dv192")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q8_0_dk192_dv192")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; + +template [[host_name("kernel_flash_attn_ext_vec_f32_dk192_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_f16_dk192_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_flash_attn_ext_vec_bf16_dk192_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#endif +template [[host_name("kernel_flash_attn_ext_vec_q4_0_dk192_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q4_1_dk192_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_0_dk192_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_1_dk192_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q8_0_dk192_dv128")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; + +template [[host_name("kernel_flash_attn_ext_vec_f32_dk256_dv256")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_f16_dk256_dv256")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_flash_attn_ext_vec_bf16_dk256_dv256")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#endif +template [[host_name("kernel_flash_attn_ext_vec_q4_0_dk256_dv256")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q4_1_dk256_dv256")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_0_dk256_dv256")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_1_dk256_dv256")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q8_0_dk256_dv256")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; + +template [[host_name("kernel_flash_attn_ext_vec_f32_dk576_dv512")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_f16_dk576_dv512")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_flash_attn_ext_vec_bf16_dk576_dv512")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +#endif +template [[host_name("kernel_flash_attn_ext_vec_q4_0_dk576_dv512")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q4_1_dk576_dv512")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_0_dk576_dv512")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q5_1_dk576_dv512")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; +template [[host_name("kernel_flash_attn_ext_vec_q8_0_dk576_dv512")]] kernel flash_attn_ext_vec_t kernel_flash_attn_ext_vec; + +#undef FA_TYPES +#undef FA_TYPES_F32 + +constant int32_t FC_flash_attn_ext_vec_reduce_DV [[function_constant(FC_FLASH_ATTN_EXT_VEC_REDUCE + 0)]]; +constant int32_t FC_flash_attn_ext_vec_reduce_NWG [[function_constant(FC_FLASH_ATTN_EXT_VEC_REDUCE + 1)]]; + +kernel void kernel_flash_attn_ext_vec_reduce( + constant lm_ggml_metal_kargs_flash_attn_ext_vec_reduce & args, + device const char * htmp, + device char * dst, + uint tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { +#define NWG (FC_flash_attn_ext_vec_reduce_NWG) +#define DV (FC_flash_attn_ext_vec_reduce_DV) + + const uint64_t rid = tgpig; + + const short iwg = tiisg; + + device const float * ss = (device const float *) htmp + (uint64_t)args.nrows*DV*NWG; + + float S = ss[rid*(2*NWG) + 2*iwg + 0]; + float M = ss[rid*(2*NWG) + 2*iwg + 1]; + + const float m = simd_max(M); + const float ms = exp(M - m); + + S = simd_sum(S*ms); + S = S == 0.0f ? 0.0f : 1.0f/S; + + const short DV4 = DV/4; + + device const float4 * htmp4 = (device const float4 *) htmp + rid*DV4*NWG; + device float4 * dst4 = (device float4 *) dst + rid*DV4; + + for (short i = sgitg; i < DV4; i += NWG) { + const float4 v = simd_sum(htmp4[i*NWG + iwg]*ms); + + if (iwg == 0) { + dst4[i] = v*S; + } + } + +#undef NWG +#undef DV +} + +template +kernel void kernel_cpy_t_t( + constant lm_ggml_metal_kargs_cpy & args, + device const char * src0, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiitg[[thread_index_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + const int i03 = tgpig[2]; + const int i02 = tgpig[1]; + const int i01 = ntg[1] == 1 ? tgpig[0]%args.ne01 : tgpig[0]*ntg[1] + tiitg/ntg[0]; + const int iw0 = ntg[1] == 1 ? tgpig[0]/args.ne01 : 0; + + const int64_t n = i03*args.ne02*args.ne01*args.ne00 + i02*args.ne01*args.ne00 + i01*args.ne00; + + const int64_t i3 = n/(args.ne2*args.ne1*args.ne0); + const int64_t i2 = (n - i3*args.ne2*args.ne1*args.ne0)/(args.ne1*args.ne0); + const int64_t i1 = (n - i3*args.ne2*args.ne1*args.ne0 - i2*args.ne1*args.ne0)/args.ne0; + const int64_t i0 = (n - i3*args.ne2*args.ne1*args.ne0 - i2*args.ne1*args.ne0 - i1*args.ne0); + + device T1 * dst_data = (device T1 *) (dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1 + i0*args.nb0); + + for (int64_t i00 = iw0*ntg[0] + tiitg%ntg[0]; i00 < args.ne00; ) { + device const T0 * src = (device T0 *)(src0 + i03*args.nb03 + i02*args.nb02 + i01*args.nb01 + i00*args.nb00); + dst_data[i00] = (T1) src[0]; + break; + } +} + +typedef decltype(kernel_cpy_t_t) kernel_cpy_t; + +template [[host_name("kernel_cpy_f32_f32")]] kernel kernel_cpy_t kernel_cpy_t_t; +template [[host_name("kernel_cpy_f32_f16")]] kernel kernel_cpy_t kernel_cpy_t_t; +template [[host_name("kernel_cpy_f32_i32")]] kernel kernel_cpy_t kernel_cpy_t_t; +template [[host_name("kernel_cpy_i32_f32")]] kernel kernel_cpy_t kernel_cpy_t_t; +template [[host_name("kernel_cpy_i32_i32")]] kernel kernel_cpy_t kernel_cpy_t_t; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_cpy_f32_bf16")]] kernel kernel_cpy_t kernel_cpy_t_t; +#endif +template [[host_name("kernel_cpy_f16_f32")]] kernel kernel_cpy_t kernel_cpy_t_t; +template [[host_name("kernel_cpy_f16_f16")]] kernel kernel_cpy_t kernel_cpy_t_t; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_cpy_bf16_f32")]] kernel kernel_cpy_t kernel_cpy_t_t; +template [[host_name("kernel_cpy_bf16_bf16")]] kernel kernel_cpy_t kernel_cpy_t_t; +#endif + +template +kernel void kernel_cpy_f32_q( + constant lm_ggml_metal_kargs_cpy & args, + device const char * src0, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiitg[[thread_index_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + const int i03 = tgpig[2]; + const int i02 = tgpig[1]; + const int i01 = ntg[1] == 1 ? tgpig[0]%args.ne01 : tgpig[0]*ntg[1] + tiitg/ntg[0]; + const int iw0 = ntg[1] == 1 ? tgpig[0]/args.ne01 : 0; + + const int64_t n = i03*args.ne02*args.ne01*args.ne00 + i02*args.ne01*args.ne00 + i01*args.ne00; + + const int64_t i3 = n / (args.ne2*args.ne1*args.ne0); + const int64_t i2 = (n - i3*args.ne2*args.ne1*args.ne0) / (args.ne1*args.ne0); + const int64_t i1 = (n - i3*args.ne2*args.ne1*args.ne0 - i2*args.ne1*args.ne0) / args.ne0; + const int64_t i0 = (n - i3*args.ne2*args.ne1*args.ne0 - i2*args.ne1*args.ne0 - i1*args.ne0)/QK; + + device block_q * dst_data = (device block_q *)(dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1 + i0*args.nb0); + + for (int64_t i00 = iw0*ntg[0] + tiitg%ntg[0]; i00 < args.nk0; ) { + device const float * src = (device const float *)(src0 + i03*args.nb03 + i02*args.nb02 + i01*args.nb01 + (i00*QK)*args.nb00); + + quantize_func(src, dst_data[i00]); + + break; + } +} + +typedef decltype(kernel_cpy_f32_q) cpy_f_q_t; + +template [[host_name("kernel_cpy_f32_q8_0")]] kernel cpy_f_q_t kernel_cpy_f32_q; +template [[host_name("kernel_cpy_f32_q4_0")]] kernel cpy_f_q_t kernel_cpy_f32_q; +template [[host_name("kernel_cpy_f32_q4_1")]] kernel cpy_f_q_t kernel_cpy_f32_q; +template [[host_name("kernel_cpy_f32_q5_0")]] kernel cpy_f_q_t kernel_cpy_f32_q; +template [[host_name("kernel_cpy_f32_q5_1")]] kernel cpy_f_q_t kernel_cpy_f32_q; +template [[host_name("kernel_cpy_f32_iq4_nl")]] kernel cpy_f_q_t kernel_cpy_f32_q; + +template +kernel void kernel_cpy_q_f32( + constant lm_ggml_metal_kargs_cpy & args, + device const char * src0, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiitg[[thread_index_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + const int i03 = tgpig[2]; + const int i02 = tgpig[1]; + const int i01 = ntg[1] == 1 ? tgpig[0]%args.ne01 : tgpig[0]*ntg[1] + tiitg/ntg[0]; + const int iw0 = ntg[1] == 1 ? tgpig[0]/args.ne01 : 0; + + const int64_t n = i03*args.ne02*args.ne01*args.ne00 + i02*args.ne01*args.ne00 + i01*args.ne00; + + const int64_t i3 = n/(args.ne2*args.ne1*args.ne0); + const int64_t i2 = (n - i3*args.ne2*args.ne1*args.ne0)/(args.ne1*args.ne0); + const int64_t i1 = (n - i3*args.ne2*args.ne1*args.ne0 - i2*args.ne1*args.ne0)/args.ne0; + const int64_t i0 = (n - i3*args.ne2*args.ne1*args.ne0 - i2*args.ne1*args.ne0 - i1*args.ne0); + + device const block_q * src_data = (device const block_q *)(src0 + i03*args.nb03 + i02*args.nb02 + i01*args.nb01); + device T4x4 * dst_data = (device T4x4 *)(dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1 + i0*args.nb0); + + for (int64_t i00 = iw0*ntg[0] + tiitg%ntg[0]; i00 < args.nk0; ) { + T4x4 temp; + dequantize_func(src_data + i00/nl, i00%nl, temp); + dst_data[i00] = temp; + + break; + } +} + +typedef decltype(kernel_cpy_q_f32) cpy_q_f_t; + +template [[host_name("kernel_cpy_q4_0_f32")]] kernel cpy_q_f_t kernel_cpy_q_f32; +template [[host_name("kernel_cpy_q4_1_f32")]] kernel cpy_q_f_t kernel_cpy_q_f32; +template [[host_name("kernel_cpy_q5_0_f32")]] kernel cpy_q_f_t kernel_cpy_q_f32; +template [[host_name("kernel_cpy_q5_1_f32")]] kernel cpy_q_f_t kernel_cpy_q_f32; +template [[host_name("kernel_cpy_q8_0_f32")]] kernel cpy_q_f_t kernel_cpy_q_f32; + +template [[host_name("kernel_cpy_q4_0_f16")]] kernel cpy_q_f_t kernel_cpy_q_f32; +template [[host_name("kernel_cpy_q4_1_f16")]] kernel cpy_q_f_t kernel_cpy_q_f32; +template [[host_name("kernel_cpy_q5_0_f16")]] kernel cpy_q_f_t kernel_cpy_q_f32; +template [[host_name("kernel_cpy_q5_1_f16")]] kernel cpy_q_f_t kernel_cpy_q_f32; +template [[host_name("kernel_cpy_q8_0_f16")]] kernel cpy_q_f_t kernel_cpy_q_f32; + +kernel void kernel_concat( + constant lm_ggml_metal_kargs_concat & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort3 tpitg[[thread_position_in_threadgroup]], + ushort3 ntg[[threads_per_threadgroup]]) { + + const int i3 = tgpig.z; + const int i2 = tgpig.y; + const int i1 = tgpig.x; + + int o[4] = {0, 0, 0, 0}; + o[args.dim] = args.dim == 0 ? args.ne00 : (args.dim == 1 ? args.ne01 : (args.dim == 2 ? args.ne02 : args.ne03)); + + device const float * x; + + for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) { + if (i0 < args.ne00 && i1 < args.ne01 && i2 < args.ne02 && i3 < args.ne03) { + x = (device const float *)(src0 + (i3 )*args.nb03 + (i2 )*args.nb02 + (i1 )*args.nb01 + (i0 )*args.nb00); + } else { + x = (device const float *)(src1 + (i3 - o[3])*args.nb13 + (i2 - o[2])*args.nb12 + (i1 - o[1])*args.nb11 + (i0 - o[0])*args.nb10); + } + + device float * y = (device float *)(dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1 + i0*args.nb0); + + *y = *x; + } +} + +template +void kernel_mul_mv_q2_K_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + const int nb = args.ne00/QK_K; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * nr0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_q2_K * x = (device const block_q2_K *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + float yl[32]; + float sumf[nr0]={0.f}; + + const short ix = tiisg/8; // 0...3 + const short it = tiisg%8; // 0...7 + const short iq = it/4; // 0 or 1 + const short ir = it%4; // 0...3 + const short is = (8*ir)/16;// 0 or 1 + + device const float * y4 = y + ix * QK_K + 128 * iq + 8 * ir; + + for (int ib = ix; ib < nb; ib += 4) { + float4 sumy = {0.f, 0.f, 0.f, 0.f}; + for (short i = 0; i < 8; ++i) { + yl[i+ 0] = y4[i+ 0]; sumy[0] += yl[i+ 0]; + yl[i+ 8] = y4[i+32]; sumy[1] += yl[i+ 8]; + yl[i+16] = y4[i+64]; sumy[2] += yl[i+16]; + yl[i+24] = y4[i+96]; sumy[3] += yl[i+24]; + } + + device const uint8_t * sc = (device const uint8_t *)x[ib].scales + 8*iq + is; + device const uint16_t * qs = (device const uint16_t *)x[ib].qs + 16 * iq + 4 * ir; + device const half * dh = &x[ib].d; + + for (short row = 0; row < nr0; row++) { + float4 acc1 = {0.f, 0.f, 0.f, 0.f}; + float4 acc2 = {0.f, 0.f, 0.f, 0.f}; + for (int i = 0; i < 8; i += 2) { + acc1[0] += yl[i+ 0] * (qs[i/2] & 0x0003); + acc2[0] += yl[i+ 1] * (qs[i/2] & 0x0300); + acc1[1] += yl[i+ 8] * (qs[i/2] & 0x000c); + acc2[1] += yl[i+ 9] * (qs[i/2] & 0x0c00); + acc1[2] += yl[i+16] * (qs[i/2] & 0x0030); + acc2[2] += yl[i+17] * (qs[i/2] & 0x3000); + acc1[3] += yl[i+24] * (qs[i/2] & 0x00c0); + acc2[3] += yl[i+25] * (qs[i/2] & 0xc000); + } + float dall = dh[0]; + float dmin = dh[1] * 1.f/16.f; + sumf[row] += dall * ((acc1[0] + 1.f/256.f * acc2[0]) * (sc[0] & 0xF) * 1.f/ 1.f + + (acc1[1] + 1.f/256.f * acc2[1]) * (sc[2] & 0xF) * 1.f/ 4.f + + (acc1[2] + 1.f/256.f * acc2[2]) * (sc[4] & 0xF) * 1.f/16.f + + (acc1[3] + 1.f/256.f * acc2[3]) * (sc[6] & 0xF) * 1.f/64.f) - + dmin * (sumy[0] * (sc[0] & 0xF0) + sumy[1] * (sc[2] & 0xF0) + sumy[2] * (sc[4] & 0xF0) + sumy[3] * (sc[6] & 0xF0)); + + qs += args.nb01/2; + sc += args.nb01; + dh += args.nb01/2; + } + + y4 += 4 * QK_K; + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + for (int row = 0; row < nr0 && first_row + row < args.ne0; ++row) { + float sum_all = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = sum_all; + } + } +} + +[[host_name("kernel_mul_mv_q2_K_f32")]] +kernel void kernel_mul_mv_q2_K_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_q2_K_f32_impl(args, src0, src1, dst, nullptr, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_q3_K_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + const int nb = args.ne00/QK_K; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * nr0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_q3_K * x = (device const block_q3_K *) (src0 + offset0); + device const float * yy = (device const float *) (src1 + offset1); + + float yl[32]; + + //const uint16_t kmask1 = 0x3030; + //const uint16_t kmask2 = 0x0f0f; + + const short tid = tiisg/4; + const short ix = tiisg%4; + const short ip = tid/4; // 0 or 1 + const short il = 2*((tid%4)/2); // 0 or 2 + const short ir = tid%2; + const short l0 = 8*ir; + + // One would think that the Metal compiler would figure out that ip and il can only have + // 4 possible states, and optimize accordingly. Well, no. It needs help, and we do it + // with these two tales. + // + // Possible masks for the high bit + const ushort4 mm[4] = {{0x0001, 0x0100, 0x0002, 0x0200}, // ip = 0, il = 0 + {0x0004, 0x0400, 0x0008, 0x0800}, // ip = 0, il = 2 + {0x0010, 0x1000, 0x0020, 0x2000}, // ip = 1, il = 0 + {0x0040, 0x4000, 0x0080, 0x8000}}; // ip = 1, il = 2 + + // Possible masks for the low 2 bits + const int4 qm[2] = {{0x0003, 0x0300, 0x000c, 0x0c00}, {0x0030, 0x3000, 0x00c0, 0xc000}}; + + const ushort4 hm = mm[2*ip + il/2]; + + const short shift = 2*il; + + const float v1 = il == 0 ? 4.f : 64.f; + const float v2 = 4.f * v1; + + const uint16_t s_shift1 = 4*ip; + const uint16_t s_shift2 = s_shift1 + il; + + const short q_offset = 32*ip + l0; + const short y_offset = 128*ip + 32*il + l0; + + device const float * y1 = yy + ix*QK_K + y_offset; + + uint32_t scales32, aux32; + thread uint16_t * scales16 = (thread uint16_t *)&scales32; + thread const int8_t * scales = (thread const int8_t *)&scales32; + + float sumf1[nr0] = {0.f}; + float sumf2[nr0] = {0.f}; + + for (int i = ix; i < nb; i += 4) { + for (short l = 0; l < 8; ++l) { + yl[l+ 0] = y1[l+ 0]; + yl[l+ 8] = y1[l+16]; + yl[l+16] = y1[l+32]; + yl[l+24] = y1[l+48]; + } + + device const uint16_t * q = (device const uint16_t *)(x[i].qs + q_offset); + device const uint16_t * h = (device const uint16_t *)(x[i].hmask + l0); + device const uint16_t * a = (device const uint16_t *)(x[i].scales); + device const half * dh = &x[i].d; + + for (short row = 0; row < nr0; ++row) { + const float d_all = (float)dh[0]; + + scales16[0] = a[4]; + scales16[1] = a[5]; + aux32 = ((scales32 >> s_shift2) << 4) & 0x30303030; + scales16[0] = a[il+0]; + scales16[1] = a[il+1]; + scales32 = ((scales32 >> s_shift1) & 0x0f0f0f0f) | aux32; + + float s1 = 0, s2 = 0, s3 = 0, s4 = 0, s5 = 0, s6 = 0; + for (short l = 0; l < 8; l += 2) { + const int32_t qs = q[l/2]; + s1 += yl[l+0] * (qs & qm[il/2][0]); + s2 += yl[l+1] * (qs & qm[il/2][1]); + s3 += ((h[l/2] & hm[0]) ? 0.f : yl[l+0]) + ((h[l/2] & hm[1]) ? 0.f : yl[l+1]); + s4 += yl[l+16] * (qs & qm[il/2][2]); + s5 += yl[l+17] * (qs & qm[il/2][3]); + s6 += ((h[l/2] & hm[2]) ? 0.f : yl[l+16]) + ((h[l/2] & hm[3]) ? 0.f : yl[l+17]); + } + float d1 = d_all * (s1 + 1.f/256.f * s2 - s3*v1); + float d2 = d_all * (s4 + 1.f/256.f * s5 - s6*v2); + sumf1[row] += d1 * (scales[0] - 32); + sumf2[row] += d2 * (scales[2] - 32); + + s1 = s2 = s3 = s4 = s5 = s6 = 0; + for (short l = 0; l < 8; l += 2) { + const int32_t qs = q[l/2+8]; + s1 += yl[l+8] * (qs & qm[il/2][0]); + s2 += yl[l+9] * (qs & qm[il/2][1]); + s3 += ((h[l/2+8] & hm[0]) ? 0.f : yl[l+8]) + ((h[l/2+8] & hm[1]) ? 0.f : yl[l+9]); + s4 += yl[l+24] * (qs & qm[il/2][2]); + s5 += yl[l+25] * (qs & qm[il/2][3]); + s6 += ((h[l/2+8] & hm[2]) ? 0.f : yl[l+24]) + ((h[l/2+8] & hm[3]) ? 0.f : yl[l+25]); + } + d1 = d_all * (s1 + 1.f/256.f * s2 - s3*v1); + d2 = d_all * (s4 + 1.f/256.f * s5 - s6*v2); + sumf1[row] += d1 * (scales[1] - 32); + sumf2[row] += d2 * (scales[3] - 32); + + q += args.nb01/2; + h += args.nb01/2; + a += args.nb01/2; + dh += args.nb01/2; + } + + y1 += 4 * QK_K; + } + + for (int row = 0; row < nr0; ++row) { + const float sumf = (sumf1[row] + 0.25f * sumf2[row]) / (1 << shift); + sumf1[row] = simd_sum(sumf); + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + if (tiisg == 0) { + for (int row = 0; row < nr0 && first_row + row < args.ne0; ++row) { + dst_f32[first_row + row] = sumf1[row]; + } + } +} + +[[host_name("kernel_mul_mv_q3_K_f32")]] +kernel void kernel_mul_mv_q3_K_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_q3_K_f32_impl(args, src0, src1, dst, nullptr, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_q4_K_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + constexpr uint16_t kmask1 = 0x3f3f; + constexpr uint16_t kmask2 = 0x0f0f; + constexpr uint16_t kmask3 = 0xc0c0; + + const short ix = tiisg/8; // 0...3 + const short it = tiisg%8; // 0...7 + const short iq = it/4; // 0 or 1 + const short ir = it%4; // 0...3 + + const int nb = args.ne00/QK_K; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * nr0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_q4_K * x = (device const block_q4_K *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + float yl[16]; + float yh[16]; + + float sumf[nr0]={0.f}; + + device const float * y4 = y + ix * QK_K + 64 * iq + 8 * ir; + + uint16_t sc16[4]; + thread const uint8_t * sc8 = (thread const uint8_t *)sc16; + + for (int ib = ix; ib < nb; ib += 4) { + float4 sumy = {0.f, 0.f, 0.f, 0.f}; + + for (short i = 0; i < 8; ++i) { + yl[i+0] = y4[i+ 0]; sumy[0] += yl[i+0]; + yl[i+8] = y4[i+ 32]; sumy[1] += yl[i+8]; + yh[i+0] = y4[i+128]; sumy[2] += yh[i+0]; + yh[i+8] = y4[i+160]; sumy[3] += yh[i+8]; + } + + device const uint16_t * sc = (device const uint16_t *)x[ib].scales + iq; + device const uint16_t * q1 = (device const uint16_t *)x[ib].qs + 16 * iq + 4 * ir; + device const half * dh = &x[ib].d; + + for (short row = 0; row < nr0; row++) { + sc16[0] = sc[0] & kmask1; + sc16[1] = sc[2] & kmask1; + sc16[2] = ((sc[4] >> 0) & kmask2) | ((sc[0] & kmask3) >> 2); + sc16[3] = ((sc[4] >> 4) & kmask2) | ((sc[2] & kmask3) >> 2); + + device const uint16_t * q2 = q1 + 32; + + float4 acc1 = {0.f, 0.f, 0.f, 0.f}; + float4 acc2 = {0.f, 0.f, 0.f, 0.f}; + + FOR_UNROLL (short i = 0; i < 4; ++i) { + acc1[0] += yl[2*i + 0] * (q1[i] & 0x000F); + acc1[1] += yl[2*i + 1] * (q1[i] & 0x0F00); + acc1[2] += yl[2*i + 8] * (q1[i] & 0x00F0); + acc1[3] += yl[2*i + 9] * (q1[i] & 0xF000); + acc2[0] += yh[2*i + 0] * (q2[i] & 0x000F); + acc2[1] += yh[2*i + 1] * (q2[i] & 0x0F00); + acc2[2] += yh[2*i + 8] * (q2[i] & 0x00F0); + acc2[3] += yh[2*i + 9] * (q2[i] & 0xF000); + } + + sumf[row] += dh[0] * ((acc1[0] + 1.f/256.f * acc1[1]) * sc8[0] + + (acc1[2] + 1.f/256.f * acc1[3]) * sc8[1] * 1.f/16.f + + (acc2[0] + 1.f/256.f * acc2[1]) * sc8[4] + + (acc2[2] + 1.f/256.f * acc2[3]) * sc8[5] * 1.f/16.f) - + dh[1] * (sumy[0] * sc8[2] + sumy[1] * sc8[3] + sumy[2] * sc8[6] + sumy[3] * sc8[7]); + + q1 += args.nb01/2; + sc += args.nb01/2; + dh += args.nb01/2; + } + + y4 += 4 * QK_K; + } + + device float * dst_f32 = (device float *) dst + (int64_t)im*args.ne0*args.ne1 + (int64_t)r1*args.ne0; + + for (int row = 0; row < nr0 && first_row + row < args.ne0; ++row) { + float sum_all = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = sum_all; + } + } +} + +[[host_name("kernel_mul_mv_q4_K_f32")]] +kernel void kernel_mul_mv_q4_K_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_q4_K_f32_impl(args, src0, src1, dst, nullptr, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_q5_K_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + const int nb = args.ne00/QK_K; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * nr0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_q5_K * x = (device const block_q5_K *) (src0 + offset0); + device const float * yy = (device const float *) (src1 + offset1); + + float sumf[nr0]={0.f}; + + float yl[16], yh[16]; + + constexpr uint16_t kmask1 = 0x3f3f; + constexpr uint16_t kmask2 = 0x0f0f; + constexpr uint16_t kmask3 = 0xc0c0; + + const short tid = tiisg/4; + const short ix = tiisg%4; + const short iq = tid/4; + const short ir = tid%4; + + const short l0 = 8*ir; + const short q_offset = 32*iq + l0; + const short y_offset = 64*iq + l0; + + const uint8_t hm1 = 1u << (2*iq); + const uint8_t hm2 = hm1 << 1; + const uint8_t hm3 = hm1 << 4; + const uint8_t hm4 = hm2 << 4; + + uint16_t sc16[4]; + thread const uint8_t * sc8 = (thread const uint8_t *)sc16; + + device const float * y1 = yy + ix*QK_K + y_offset; + + for (int i = ix; i < nb; i += 4) { + device const uint8_t * q1 = x[i].qs + q_offset; + device const uint8_t * qh = x[i].qh + l0; + device const half * dh = &x[i].d; + device const uint16_t * a = (device const uint16_t *)x[i].scales + iq; + + device const float * y2 = y1 + 128; + float4 sumy = {0.f, 0.f, 0.f, 0.f}; + for (short l = 0; l < 8; ++l) { + yl[l+0] = y1[l+ 0]; sumy[0] += yl[l+0]; + yl[l+8] = y1[l+32]; sumy[1] += yl[l+8]; + yh[l+0] = y2[l+ 0]; sumy[2] += yh[l+0]; + yh[l+8] = y2[l+32]; sumy[3] += yh[l+8]; + } + + for (short row = 0; row < nr0; ++row) { + device const uint8_t * q2 = q1 + 64; + + sc16[0] = a[0] & kmask1; + sc16[1] = a[2] & kmask1; + sc16[2] = ((a[4] >> 0) & kmask2) | ((a[0] & kmask3) >> 2); + sc16[3] = ((a[4] >> 4) & kmask2) | ((a[2] & kmask3) >> 2); + + float4 acc1 = {0.f}; + float4 acc2 = {0.f}; + FOR_UNROLL (short l = 0; l < 8; ++l) { + uint8_t h = qh[l]; + acc1[0] += yl[l+0] * (q1[l] & 0x0F); + acc1[1] += yl[l+8] * (q1[l] & 0xF0); + acc1[2] += yh[l+0] * (q2[l] & 0x0F); + acc1[3] += yh[l+8] * (q2[l] & 0xF0); + acc2[0] += h & hm1 ? yl[l+0] : 0.f; + acc2[1] += h & hm2 ? yl[l+8] : 0.f; + acc2[2] += h & hm3 ? yh[l+0] : 0.f; + acc2[3] += h & hm4 ? yh[l+8] : 0.f; + } + + sumf[row] += dh[0] * (sc8[0] * (acc1[0] + 16.f*acc2[0]) + + sc8[1] * (acc1[1]/16.f + 16.f*acc2[1]) + + sc8[4] * (acc1[2] + 16.f*acc2[2]) + + sc8[5] * (acc1[3]/16.f + 16.f*acc2[3])) - + dh[1] * (sumy[0] * sc8[2] + sumy[1] * sc8[3] + sumy[2] * sc8[6] + sumy[3] * sc8[7]); + + q1 += args.nb01; + qh += args.nb01; + dh += args.nb01/2; + a += args.nb01/2; + } + + y1 += 4 * QK_K; + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + for (int row = 0; row < nr0 && first_row + row < args.ne0; ++row) { + const float tot = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = tot; + } + } +} + +[[host_name("kernel_mul_mv_q5_K_f32")]] +kernel void kernel_mul_mv_q5_K_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_q5_K_f32_impl(args, src0, src1, dst, nullptr, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_q6_K_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + constexpr uint8_t kmask1 = 0x03; + constexpr uint8_t kmask2 = 0x0C; + constexpr uint8_t kmask3 = 0x30; + constexpr uint8_t kmask4 = 0xC0; + + const int nb = args.ne00/QK_K; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * nr0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_q6_K * x = (device const block_q6_K *) (src0 + offset0); + device const float * yy = (device const float *) (src1 + offset1); + + float sumf[nr0] = { 0.f }; + + float yl[16]; + + const short tid = tiisg/2; + const short ix = tiisg%2; + const short ip = tid/8; // 0 or 1 + const short il = tid%8; + const short l0 = 4*il; + const short is = 8*ip + l0/16; + + const short y_offset = 128*ip + l0; + const short q_offset_l = 64*ip + l0; + const short q_offset_h = 32*ip + l0; + + for (int i = ix; i < nb; i += 2) { + device const uint8_t * q1 = x[i].ql + q_offset_l; + device const uint8_t * q2 = q1 + 32; + device const uint8_t * qh = x[i].qh + q_offset_h; + device const int8_t * sc = x[i].scales + is; + device const half * dh = &x[i].d; + + device const float * y = yy + i * QK_K + y_offset; + + for (short l = 0; l < 4; ++l) { + yl[4*l + 0] = y[l + 0]; + yl[4*l + 1] = y[l + 32]; + yl[4*l + 2] = y[l + 64]; + yl[4*l + 3] = y[l + 96]; + } + + for (short row = 0; row < nr0; ++row) { + float4 sums = {0.f, 0.f, 0.f, 0.f}; + + FOR_UNROLL (short l = 0; l < 4; ++l) { + sums[0] += yl[4*l + 0] * ((int8_t)((q1[l] & 0xF) | ((qh[l] & kmask1) << 4)) - 32); + sums[1] += yl[4*l + 1] * ((int8_t)((q2[l] & 0xF) | ((qh[l] & kmask2) << 2)) - 32); + sums[2] += yl[4*l + 2] * ((int8_t)((q1[l] >> 4) | ((qh[l] & kmask3) << 0)) - 32); + sums[3] += yl[4*l + 3] * ((int8_t)((q2[l] >> 4) | ((qh[l] & kmask4) >> 2)) - 32); + } + + sumf[row] += dh[0] * (sums[0] * sc[0] + sums[1] * sc[2] + sums[2] * sc[4] + sums[3] * sc[6]); + + q1 += args.nb01; + q2 += args.nb01; + qh += args.nb01; + sc += args.nb01; + dh += args.nb01/2; + } + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + for (int row = 0; row < nr0 && first_row + row < args.ne0; ++row) { + float sum_all = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = sum_all; + } + } +} + +[[host_name("kernel_mul_mv_q6_K_f32")]] +kernel void kernel_mul_mv_q6_K_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_q6_K_f32_impl(args, src0, src1, dst, nullptr, tgpig, tiisg, sgitg); +} + +// ======================= "True" 2-bit + +template +void kernel_mul_mv_iq2_xxs_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + const int nb = args.ne00/QK_K; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * nr0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_iq2_xxs * x = (device const block_iq2_xxs *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + float yl[32]; + float sumf[nr0]={0.f}; + + const int nb32 = nb * (QK_K / 32); + + threadgroup uint64_t * svalues = (threadgroup uint64_t *)(shmem); + threadgroup uint8_t * ssigns = (threadgroup uint8_t *)(svalues + 256); + { + int nval = 4; + int pos = (32*sgitg + tiisg)*nval; + for (int i = 0; i < nval; ++i) svalues[pos + i] = iq2xxs_grid[pos + i]; + nval = 2; + pos = (32*sgitg + tiisg)*nval; + for (int i = 0; i < nval; ++i) ssigns[pos+i] = ksigns_iq2xs[pos+i]; + threadgroup_barrier(mem_flags::mem_threadgroup); + } + + const int ix = tiisg; + + device const float * y4 = y + 32 * ix; + + for (int ib32 = ix; ib32 < nb32; ib32 += 32) { + for (short i = 0; i < 32; ++i) { + yl[i] = y4[i]; + } + + const int ibl = ib32 / (QK_K / 32); + const int ib = ib32 % (QK_K / 32); + + device const block_iq2_xxs * xr = x + ibl; + device const uint16_t * q2 = xr->qs + 4 * ib; + device const half * dh = &xr->d; + + for (short row = 0; row < nr0; row++) { + const float db = dh[0]; + device const uint8_t * aux8 = (device const uint8_t *)q2; + const uint32_t aux32 = q2[2] | (q2[3] << 16); + const float d = db * (0.5f + (aux32 >> 28)); + + float sum = 0; + for (short l = 0; l < 4; ++l) { + const threadgroup uint8_t * grid = (const threadgroup uint8_t *)(svalues + aux8[l]); + const uint8_t signs = ssigns[(aux32 >> 7*l) & 127]; + for (short j = 0; j < 8; ++j) { + sum += yl[8*l + j] * grid[j] * (signs & kmask_iq2xs[j] ? -1.f : 1.f); + } + } + sumf[row] += d * sum; + + dh += args.nb01/2; + q2 += args.nb01/2; + } + + y4 += 32 * 32; + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + for (int row = 0; row < nr0 && first_row + row < args.ne0; ++row) { + float sum_all = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = sum_all * 0.25f; + } + } +} + +[[host_name("kernel_mul_mv_iq2_xxs_f32")]] +kernel void kernel_mul_mv_iq2_xxs_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + kernel_mul_mv_iq2_xxs_f32_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_iq2_xs_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + const int nb = args.ne00/QK_K; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * nr0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_iq2_xs * x = (device const block_iq2_xs *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + float yl[32]; + float sumf[nr0]={0.f}; + + const int nb32 = nb * (QK_K / 32); + + threadgroup uint64_t * svalues = (threadgroup uint64_t *)(shmem); + threadgroup uint8_t * ssigns = (threadgroup uint8_t *)(svalues + 512); + { + int nval = 8; + int pos = (32*sgitg + tiisg)*nval; + for (int i = 0; i < nval; ++i) svalues[pos + i] = iq2xs_grid[pos + i]; + nval = 2; + pos = (32*sgitg + tiisg)*nval; + for (int i = 0; i < nval; ++i) ssigns[pos+i] = ksigns_iq2xs[pos+i]; + threadgroup_barrier(mem_flags::mem_threadgroup); + } + + const int ix = tiisg; + + device const float * y4 = y + 32 * ix; + + for (int ib32 = ix; ib32 < nb32; ib32 += 32) { + for (short i = 0; i < 32; ++i) { + yl[i] = y4[i]; + } + + const int ibl = ib32 / (QK_K / 32); + const int ib = ib32 % (QK_K / 32); + + device const block_iq2_xs * xr = x + ibl; + device const uint16_t * q2 = xr->qs + 4 * ib; + device const uint8_t * sc = xr->scales + ib; + device const half * dh = &xr->d; + + for (short row = 0; row < nr0; row++) { + const float db = dh[0]; + const uint8_t ls1 = sc[0] & 0xf; + const uint8_t ls2 = sc[0] >> 4; + const float d1 = db * (0.5f + ls1); + const float d2 = db * (0.5f + ls2); + + float sum1 = 0, sum2 = 0; + for (short l = 0; l < 2; ++l) { + const threadgroup uint8_t * grid = (const threadgroup uint8_t *)(svalues + (q2[l] & 511)); + const uint8_t signs = ssigns[(q2[l] >> 9)]; + for (short j = 0; j < 8; ++j) { + sum1 += yl[8*l + j] * grid[j] * (signs & kmask_iq2xs[j] ? -1.f : 1.f); + } + } + for (short l = 2; l < 4; ++l) { + const threadgroup uint8_t * grid = (const threadgroup uint8_t *)(svalues + (q2[l] & 511)); + const uint8_t signs = ssigns[(q2[l] >> 9)]; + for (short j = 0; j < 8; ++j) { + sum2 += yl[8*l + j] * grid[j] * (signs & kmask_iq2xs[j] ? -1.f : 1.f); + } + } + sumf[row] += d1 * sum1 + d2 * sum2; + + dh += args.nb01/2; + q2 += args.nb01/2; + sc += args.nb01; + } + + y4 += 32 * 32; + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + for (int row = 0; row < nr0 && first_row + row < args.ne0; ++row) { + float sum_all = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = sum_all * 0.25f; + } + } +} + +[[host_name("kernel_mul_mv_iq2_xs_f32")]] +kernel void kernel_mul_mv_iq2_xs_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_iq2_xs_f32_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_iq3_xxs_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + const int nb = args.ne00/QK_K; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * nr0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_iq3_xxs * x = (device const block_iq3_xxs *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + float yl[32]; + float sumf[nr0]={0.f}; + + const int nb32 = nb * (QK_K / 32); + + threadgroup uint32_t * svalues = (threadgroup uint32_t *)(shmem); + threadgroup uint8_t * ssigns = (threadgroup uint8_t *)(svalues + 256); + { + int nval = 4; + int pos = (32*sgitg + tiisg)*nval; + for (int i = 0; i < nval; ++i) svalues[pos + i] = iq3xxs_grid[pos + i]; + nval = 2; + pos = (32*sgitg + tiisg)*nval; + for (int i = 0; i < nval; ++i) ssigns[pos+i] = ksigns_iq2xs[pos+i]; + threadgroup_barrier(mem_flags::mem_threadgroup); + } + + const int ix = tiisg; + + device const float * y4 = y + 32 * ix; + + for (int ib32 = ix; ib32 < nb32; ib32 += 32) { + for (short i = 0; i < 32; ++i) { + yl[i] = y4[i]; + } + + const int ibl = ib32 / (QK_K / 32); + const int ib = ib32 % (QK_K / 32); + + device const block_iq3_xxs * xr = x + ibl; + device const uint8_t * q3 = xr->qs + 8 * ib; + device const uint16_t * gas = (device const uint16_t *)(xr->qs + QK_K/4) + 2 * ib; + device const half * dh = &xr->d; + + for (short row = 0; row < nr0; row++) { + const float db = dh[0]; + const uint32_t aux32 = gas[0] | (gas[1] << 16); + const float d = db * (0.5f + (aux32 >> 28)); + + float2 sum = {0}; + for (short l = 0; l < 4; ++l) { + const threadgroup uint8_t * grid1 = (const threadgroup uint8_t *)(svalues + q3[2*l+0]); + const threadgroup uint8_t * grid2 = (const threadgroup uint8_t *)(svalues + q3[2*l+1]); + const uint8_t signs = ssigns[(aux32 >> 7*l) & 127]; + for (short j = 0; j < 4; ++j) { + sum[0] += yl[8*l + j + 0] * grid1[j] * (signs & kmask_iq2xs[j+0] ? -1.f : 1.f); + sum[1] += yl[8*l + j + 4] * grid2[j] * (signs & kmask_iq2xs[j+4] ? -1.f : 1.f); + } + } + sumf[row] += d * (sum[0] + sum[1]); + + dh += args.nb01/2; + q3 += args.nb01; + gas += args.nb01/2; + } + + y4 += 32 * 32; + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + for (int row = 0; row < nr0 && first_row + row < args.ne0; ++row) { + float sum_all = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = sum_all * 0.5f; + } + } +} + +[[host_name("kernel_mul_mv_iq3_xxs_f32")]] +kernel void kernel_mul_mv_iq3_xxs_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_iq3_xxs_f32_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_iq3_s_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + const int nb = args.ne00/QK_K; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * nr0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_iq3_s * x = (device const block_iq3_s *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + float yl[32]; + float sumf[nr0]={0.f}; + + const int nb32 = nb * (QK_K / 32); + + threadgroup uint32_t * svalues = (threadgroup uint32_t *) shmem; + { + int nval = 8; + int pos = (32*sgitg + tiisg)*nval; + for (int i = 0; i < nval; ++i) svalues[pos + i] = iq3s_grid[pos + i]; + threadgroup_barrier(mem_flags::mem_threadgroup); + } + + const int ix = tiisg; + + device const float * y4 = y + 32 * ix; + + for (int ib32 = ix; ib32 < nb32; ib32 += 32) { + for (short i = 0; i < 32; ++i) { + yl[i] = y4[i]; + } + + const int ibl = ib32 / (QK_K / 32); + const int ib = ib32 % (QK_K / 32); + + device const block_iq3_s * xr = x + ibl; + device const uint8_t * qs = xr->qs + 8 * ib; + device const uint8_t * qh = xr->qh + ib; + device const uint8_t * sc = xr->scales + (ib/2); + device const uint8_t * signs = xr->signs + 4 * ib; + device const half * dh = &xr->d; + + for (short row = 0; row < nr0; row++) { + const float db = dh[0]; + const float d = db * (1 + 2*((sc[0] >> 4*(ib%2)) & 0xf)); + + float2 sum = {0}; + for (short l = 0; l < 4; ++l) { + const threadgroup uint32_t * table1 = qh[0] & kmask_iq2xs[2*l+0] ? svalues + 256 : svalues; + const threadgroup uint32_t * table2 = qh[0] & kmask_iq2xs[2*l+1] ? svalues + 256 : svalues; + const threadgroup uint8_t * grid1 = (const threadgroup uint8_t *)(table1 + qs[2*l+0]); + const threadgroup uint8_t * grid2 = (const threadgroup uint8_t *)(table2 + qs[2*l+1]); + for (short j = 0; j < 4; ++j) { + sum[0] += yl[8*l + j + 0] * grid1[j] * select(1, -1, signs[l] & kmask_iq2xs[j+0]); + sum[1] += yl[8*l + j + 4] * grid2[j] * select(1, -1, signs[l] & kmask_iq2xs[j+4]); + } + } + sumf[row] += d * (sum[0] + sum[1]); + + dh += args.nb01/2; + qs += args.nb01; + qh += args.nb01; + sc += args.nb01; + signs += args.nb01; + } + + y4 += 32 * 32; + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + for (int row = 0; row < nr0 && first_row + row < args.ne0; ++row) { + float sum_all = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = sum_all; + } + } +} + +[[host_name("kernel_mul_mv_iq3_s_f32")]] +kernel void kernel_mul_mv_iq3_s_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_iq3_s_f32_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_iq2_s_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + const int nb = args.ne00/QK_K; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * nr0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_iq2_s * x = (device const block_iq2_s *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + float yl[32]; + float sumf[nr0]={0.f}; + + const int nb32 = nb * (QK_K / 32); + + //threadgroup uint64_t * svalues = (threadgroup uint64_t *) shmem; + //{ + // int nval = 32; + // int pos = (32*sgitg + tiisg)*nval; + // for (int i = 0; i < nval; ++i) svalues[pos + i] = iq2s_grid[pos + i]; + // threadgroup_barrier(mem_flags::mem_threadgroup); + //} + + const short ix = tiisg; + + device const float * y4 = y + 32 * ix; + + for (int ib32 = ix; ib32 < nb32; ib32 += 32) { + for (short i = 0; i < 32; ++i) { + yl[i] = y4[i]; + } + + const int ibl = ib32 / (QK_K / 32); + const int ib = ib32 % (QK_K / 32); + + device const block_iq2_s * xr = x + ibl; + device const uint8_t * qs = xr->qs + 4 * ib; + device const uint8_t * qh = xr->qh + ib; + device const uint8_t * sc = xr->scales + ib; + device const uint8_t * signs = qs + QK_K/8; + device const half * dh = &xr->d; + + for (short row = 0; row < nr0; row++) { + const float db = dh[0]; + const float d1 = db * (0.5f + (sc[0] & 0xf)); + const float d2 = db * (0.5f + (sc[0] >> 4)); + + float2 sum = {0}; + for (short l = 0; l < 2; ++l) { + //const threadgroup uint8_t * grid1 = (const threadgroup uint8_t *)(svalues + (qs[l+0] | ((qh[0] << (8-2*l)) & 0x300))); + //const threadgroup uint8_t * grid2 = (const threadgroup uint8_t *)(svalues + (qs[l+2] | ((qh[0] << (4-2*l)) & 0x300))); + constant uint8_t * grid1 = (constant uint8_t *)(iq2s_grid + (qs[l+0] | ((qh[0] << (8-2*l)) & 0x300))); + constant uint8_t * grid2 = (constant uint8_t *)(iq2s_grid + (qs[l+2] | ((qh[0] << (4-2*l)) & 0x300))); + for (short j = 0; j < 8; ++j) { + sum[0] += yl[8*l + j + 0] * grid1[j] * select(1, -1, signs[l+0] & kmask_iq2xs[j]); + sum[1] += yl[8*l + j + 16] * grid2[j] * select(1, -1, signs[l+2] & kmask_iq2xs[j]); + } + } + sumf[row] += d1 * sum[0] + d2 * sum[1]; + + dh += args.nb01/2; + qs += args.nb01; + qh += args.nb01; + sc += args.nb01; + signs += args.nb01; + } + + y4 += 32 * 32; + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + for (int row = 0; row < nr0 && first_row + row < args.ne0; ++row) { + float sum_all = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = sum_all * 0.25f; + } + } +} + +[[host_name("kernel_mul_mv_iq2_s_f32")]] +kernel void kernel_mul_mv_iq2_s_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_iq2_s_f32_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_iq1_s_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + const int nb = args.ne00/QK_K; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * nr0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_iq1_s * x = (device const block_iq1_s *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + float yl[32]; + float sumf[nr0]={0.f}; + + const int nb32 = nb * (QK_K / 32); + + const short ix = tiisg; + + device const float * y4 = y + 32 * ix; + + for (int ib32 = ix; ib32 < nb32; ib32 += 32) { + float sumy = 0; + for (short i = 0; i < 32; ++i) { + yl[i] = y4[i]; + sumy += yl[i]; + } + + const int ibl = ib32 / (QK_K / 32); + const int ib = ib32 % (QK_K / 32); + + device const block_iq1_s * xr = x + ibl; + device const uint8_t * qs = xr->qs + 4 * ib; + device const uint16_t * qh = xr->qh + ib; + device const half * dh = &xr->d; + + for (short row = 0; row < nr0; row++) { + constant uint8_t * grid1 = (constant uint8_t *)(iq1s_grid_gpu + (qs[0] | ((qh[0] << 8) & 0x700))); + constant uint8_t * grid2 = (constant uint8_t *)(iq1s_grid_gpu + (qs[1] | ((qh[0] << 5) & 0x700))); + constant uint8_t * grid3 = (constant uint8_t *)(iq1s_grid_gpu + (qs[2] | ((qh[0] << 2) & 0x700))); + constant uint8_t * grid4 = (constant uint8_t *)(iq1s_grid_gpu + (qs[3] | ((qh[0] >> 1) & 0x700))); + + float sum = 0; + for (short j = 0; j < 4; ++j) { + sum += yl[j+ 0] * (grid1[j] & 0xf) + yl[j+ 4] * (grid1[j] >> 4) + + yl[j+ 8] * (grid2[j] & 0xf) + yl[j+12] * (grid2[j] >> 4) + + yl[j+16] * (grid3[j] & 0xf) + yl[j+20] * (grid3[j] >> 4) + + yl[j+24] * (grid4[j] & 0xf) + yl[j+28] * (grid4[j] >> 4); + } + sumf[row] += (float)dh[0] * (sum + sumy * (qh[0] & 0x8000 ? -1 - IQ1S_DELTA : -1 + IQ1S_DELTA)) * (2*((qh[0] >> 12) & 7) + 1); + + dh += args.nb01/2; + qs += args.nb01; + qh += args.nb01/2; + } + + y4 += 32 * 32; + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + for (int row = 0; row < nr0 && first_row + row < args.ne0; ++row) { + float sum_all = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = sum_all; + } + } +} + +[[host_name("kernel_mul_mv_iq1_s_f32")]] +kernel void kernel_mul_mv_iq1_s_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_iq1_s_f32_impl(args, src0, src1, dst, nullptr, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_iq1_m_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + const int nb = args.ne00/QK_K; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * nr0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_iq1_m * x = (device const block_iq1_m *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + float yl[32]; + float sumf[nr0]={0.f}; + + const int nb32 = nb * (QK_K / 32); + + const short ix = tiisg; + + device const float * y4 = y + 32 * ix; + + iq1m_scale_t scale; + + for (int ib32 = ix; ib32 < nb32; ib32 += 32) { + float4 sumy = {0.f}; + for (short i = 0; i < 8; ++i) { + yl[i+ 0] = y4[i+ 0]; sumy[0] += yl[i+ 0]; + yl[i+ 8] = y4[i+ 8]; sumy[1] += yl[i+ 8]; + yl[i+16] = y4[i+16]; sumy[2] += yl[i+16]; + yl[i+24] = y4[i+24]; sumy[3] += yl[i+24]; + } + + const int ibl = ib32 / (QK_K / 32); + const int ib = ib32 % (QK_K / 32); + + device const block_iq1_m * xr = x + ibl; + device const uint8_t * qs = xr->qs + 4 * ib; + device const uint8_t * qh = xr->qh + 2 * ib; + device const uint16_t * sc = (device const uint16_t *)xr->scales; + + for (short row = 0; row < nr0; row++) { + scale.u16 = (sc[0] >> 12) | ((sc[1] >> 8) & 0x00f0) | ((sc[2] >> 4) & 0x0f00) | (sc[3] & 0xf000); + + constant uint8_t * grid1 = (constant uint8_t *)(iq1s_grid_gpu + (qs[0] | ((qh[0] << 8) & 0x700))); + constant uint8_t * grid2 = (constant uint8_t *)(iq1s_grid_gpu + (qs[1] | ((qh[0] << 4) & 0x700))); + constant uint8_t * grid3 = (constant uint8_t *)(iq1s_grid_gpu + (qs[2] | ((qh[1] << 8) & 0x700))); + constant uint8_t * grid4 = (constant uint8_t *)(iq1s_grid_gpu + (qs[3] | ((qh[1] << 4) & 0x700))); + + float2 sum = {0.f}; + for (short j = 0; j < 4; ++j) { + sum[0] += yl[j+ 0] * (grid1[j] & 0xf) + yl[j+ 4] * (grid1[j] >> 4) + + yl[j+ 8] * (grid2[j] & 0xf) + yl[j+12] * (grid2[j] >> 4); + sum[1] += yl[j+16] * (grid3[j] & 0xf) + yl[j+20] * (grid3[j] >> 4) + + yl[j+24] * (grid4[j] & 0xf) + yl[j+28] * (grid4[j] >> 4); + } + const float delta1 = sumy[0] * (qh[0] & 0x08 ? -1 - IQ1M_DELTA : -1 + IQ1M_DELTA) + sumy[1] * (qh[0] & 0x80 ? -1 - IQ1M_DELTA : -1 + IQ1M_DELTA); + const float delta2 = sumy[2] * (qh[1] & 0x08 ? -1 - IQ1M_DELTA : -1 + IQ1M_DELTA) + sumy[3] * (qh[1] & 0x80 ? -1 - IQ1M_DELTA : -1 + IQ1M_DELTA); + + sumf[row] += (float)scale.f16 * ((sum[0] + delta1) * (2*((sc[ib/2] >> (6*(ib%2)+0)) & 7) + 1) + + (sum[1] + delta2) * (2*((sc[ib/2] >> (6*(ib%2)+3)) & 7) + 1)); + + sc += args.nb01/2; + qs += args.nb01; + qh += args.nb01; + } + + y4 += 32 * 32; + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + for (int row = 0; row < nr0 && first_row + row < args.ne0; ++row) { + float sum_all = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = sum_all; + } + } +} + +[[host_name("kernel_mul_mv_iq1_m_f32")]] +kernel void kernel_mul_mv_iq1_m_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_iq1_m_f32_impl(args, src0, src1, dst, nullptr, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_iq4_nl_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + threadgroup float * shmem_f32 = (threadgroup float *) shmem; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * NR0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_iq4_nl * x = (device const block_iq4_nl *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + const int nb = args.ne00/QK4_NL; + const int ns01 = args.nb01/args.nb00; + + const short ix = tiisg/2; // 0...15 + const short it = tiisg%2; // 0 or 1 + + shmem_f32[tiisg] = kvalues_iq4nl_f[tiisg%16]; + threadgroup_barrier(mem_flags::mem_threadgroup); + + float4 yl[4]; + float sumf[NR0]={0.f}; + + device const float * yb = y + ix*QK4_NL + it*8; + + uint32_t aux32[2]; + thread const uint8_t * q8 = (thread const uint8_t *)aux32; + + float4 qf1, qf2; + + // [TAG_MUL_MV_WEIRD] + for (int ib = ix; ib < nb && ib < ns01; ib += 16) { + device const float4 * y4 = (device const float4 *)yb; + yl[0] = y4[0]; + yl[1] = y4[4]; + yl[2] = y4[1]; + yl[3] = y4[5]; + + for (short row = 0; row < NR0; row++) { + device const block_iq4_nl & xb = x[row*ns01 + ib]; + device const uint16_t * q4 = (device const uint16_t *)(xb.qs + 8*it); + + float4 acc1 = {0.f}, acc2 = {0.f}; + + aux32[0] = q4[0] | (q4[1] << 16); + aux32[1] = (aux32[0] >> 4) & 0x0f0f0f0f; + aux32[0] &= 0x0f0f0f0f; + qf1 = {shmem_f32[q8[0]], shmem_f32[q8[1]], shmem_f32[q8[2]], shmem_f32[q8[3]]}; + qf2 = {shmem_f32[q8[4]], shmem_f32[q8[5]], shmem_f32[q8[6]], shmem_f32[q8[7]]}; + acc1 += yl[0] * qf1; + acc2 += yl[1] * qf2; + + aux32[0] = q4[2] | (q4[3] << 16); + aux32[1] = (aux32[0] >> 4) & 0x0f0f0f0f; + aux32[0] &= 0x0f0f0f0f; + qf1 = {shmem_f32[q8[0]], shmem_f32[q8[1]], shmem_f32[q8[2]], shmem_f32[q8[3]]}; + qf2 = {shmem_f32[q8[4]], shmem_f32[q8[5]], shmem_f32[q8[6]], shmem_f32[q8[7]]}; + acc1 += yl[2] * qf1; + acc2 += yl[3] * qf2; + + acc1 += acc2; + + sumf[row] += (float)xb.d * (acc1[0] + acc1[1] + acc1[2] + acc1[3]); + } + + yb += 16 * QK4_NL; + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + for (int row = 0; row < NR0 && first_row + row < args.ne0; ++row) { + float sum_all = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = sum_all; + } + } +} + +[[host_name("kernel_mul_mv_iq4_nl_f32")]] +kernel void kernel_mul_mv_iq4_nl_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_iq4_nl_f32_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_iq4_xs_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + threadgroup float * shmem_f32 = (threadgroup float *) shmem; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + const int first_row = (r0 * NSG + sgitg) * NR0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_iq4_xs * x = (device const block_iq4_xs *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + const int nb = args.ne00/QK_K; + const int ns01 = args.nb01/args.nb00; + + const short ix = tiisg/16; // 0 or 1 + const short it = tiisg%16; // 0...15 + const short ib = it/2; + const short il = it%2; + + shmem_f32[tiisg] = kvalues_iq4nl_f[tiisg%16]; + threadgroup_barrier(mem_flags::mem_threadgroup); + + float4 yl[4]; + float sumf[NR0]={0.f}; + + device const float * yb = y + ix * QK_K + ib * 32 + il * 8; + + uint32_t aux32[2]; + thread const uint8_t * q8 = (thread const uint8_t *)aux32; + + float4 qf1, qf2; + + // [TAG_MUL_MV_WEIRD] + for (int ibl = ix; ibl < nb && ibl < ns01; ibl += 2) { + device const float4 * y4 = (device const float4 *)yb; + yl[0] = y4[0]; + yl[1] = y4[4]; + yl[2] = y4[1]; + yl[3] = y4[5]; + + for (short row = 0; row < NR0; ++row) { + device const block_iq4_xs & xb = x[row*ns01 + ibl]; + device const uint32_t * q4 = (device const uint32_t *)(xb.qs + 16*ib + 8*il); + + float4 acc1 = {0.f}, acc2 = {0.f}; + + aux32[0] = (q4[0] ) & 0x0f0f0f0f; + aux32[1] = (q4[0] >> 4) & 0x0f0f0f0f; + qf1 = {shmem_f32[q8[0]], shmem_f32[q8[1]], shmem_f32[q8[2]], shmem_f32[q8[3]]}; + qf2 = {shmem_f32[q8[4]], shmem_f32[q8[5]], shmem_f32[q8[6]], shmem_f32[q8[7]]}; + acc1 += yl[0] * qf1; + acc2 += yl[1] * qf2; + + aux32[0] = (q4[1] ) & 0x0f0f0f0f; + aux32[1] = (q4[1] >> 4) & 0x0f0f0f0f; + qf1 = {shmem_f32[q8[0]], shmem_f32[q8[1]], shmem_f32[q8[2]], shmem_f32[q8[3]]}; + qf2 = {shmem_f32[q8[4]], shmem_f32[q8[5]], shmem_f32[q8[6]], shmem_f32[q8[7]]}; + acc1 += yl[2] * qf1; + acc2 += yl[3] * qf2; + + acc1 += acc2; + + const int ls = (((xb.scales_l[ib/2] >> 4*(ib%2)) & 0xf) | (((xb.scales_h >> 2*ib) & 3) << 4)) - 32; + sumf[row] += (float)xb.d * ls * (acc1[0] + acc1[1] + acc1[2] + acc1[3]); + } + + yb += 2 * QK_K; + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + for (int row = 0; row < NR0 && first_row + row < args.ne0; ++row) { + float sum_all = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = sum_all; + } + } +} + +[[host_name("kernel_mul_mv_iq4_xs_f32")]] +kernel void kernel_mul_mv_iq4_xs_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_iq4_xs_f32_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +template +void kernel_mul_mv_mxfp4_f32_impl( + args_t args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg) { + const short NSG = FC_mul_mv_nsg; + + threadgroup float * shmem_f32 = (threadgroup float *) shmem; + + const int r0 = tgpig.x; + const int r1 = tgpig.y; + const int im = tgpig.z; + + const int first_row = (r0 * NSG + sgitg) * NR0; + + const uint i12 = im%args.ne12; + const uint i13 = im/args.ne12; + + const uint64_t offset0 = first_row*args.nb01 + (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const uint64_t offset1 = r1*args.nb11 + (i12 )*args.nb12 + (i13 )*args.nb13; + + device const block_mxfp4 * x = (device const block_mxfp4 *) (src0 + offset0); + device const float * y = (device const float *) (src1 + offset1); + + const int nb = args.ne00/QK_MXFP4; + const int ns01 = args.nb01/args.nb00; // this can be larger than nb for permuted src0 tensors + + const short ix = tiisg/2; // 0...15 + const short it = tiisg%2; // 0 or 1 + + shmem_f32[tiisg] = kvalues_mxfp4_f[tiisg%16]; + threadgroup_barrier(mem_flags::mem_threadgroup); + + float4 yl[4]; + float sumf[NR0]={0.f}; + + device const float * yb = y + ix*QK_MXFP4 + it*8; + + // note: just the check `ib < nb` is enough, but adding the redundant `&& ib < ns01` check makes the kernel a bit faster + // no idea why that is - needs some deeper investigation [TAG_MUL_MV_WEIRD] + for (int ib = ix; ib < nb && ib < ns01; ib += 16) { + device const float4 * y4 = (device const float4 *) yb; + + yl[0] = y4[0]; + yl[1] = y4[4]; + yl[2] = y4[1]; + yl[3] = y4[5]; + + FOR_UNROLL (short row = 0; row < NR0; row++) { + device const block_mxfp4 & xb = x[row*ns01 + ib]; + device const uint8_t * q2 = (device const uint8_t *)(xb.qs + 8*it); + + float4 acc1 = yl[0]*float4(shmem_f32[q2[0] & 0x0F], shmem_f32[q2[1] & 0x0F], shmem_f32[q2[2] & 0x0F], shmem_f32[q2[3] & 0x0F]); + float4 acc2 = yl[1]*float4(shmem_f32[q2[0] >> 4 ], shmem_f32[q2[1] >> 4 ], shmem_f32[q2[2] >> 4 ], shmem_f32[q2[3] >> 4 ]); + float4 acc3 = yl[2]*float4(shmem_f32[q2[4] & 0x0F], shmem_f32[q2[5] & 0x0F], shmem_f32[q2[6] & 0x0F], shmem_f32[q2[7] & 0x0F]); + float4 acc4 = yl[3]*float4(shmem_f32[q2[4] >> 4 ], shmem_f32[q2[5] >> 4 ], shmem_f32[q2[6] >> 4 ], shmem_f32[q2[7] >> 4 ]); + + acc1 = (acc1 + acc3) + (acc2 + acc4); + + sumf[row] += e8m0_to_fp32(xb.e) * ((acc1[0] + acc1[1]) + (acc1[2] + acc1[3])); + } + + yb += 16 * QK_MXFP4; + } + + device float * dst_f32 = (device float *) dst + (uint64_t)im*args.ne0*args.ne1 + (uint64_t)r1*args.ne0; + + for (int row = 0; row < NR0 && first_row + row < args.ne0; ++row) { + float sum_all = simd_sum(sumf[row]); + if (tiisg == 0) { + dst_f32[first_row + row] = sum_all; + } + } +} + +[[host_name("kernel_mul_mv_mxfp4_f32")]] +kernel void kernel_mul_mv_mxfp4_f32( + constant lm_ggml_metal_kargs_mul_mv & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + kernel_mul_mv_mxfp4_f32_impl(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +template +kernel void kernel_get_rows_q( + constant lm_ggml_metal_kargs_get_rows & args, + device const void * src0, + device const void * src1, + device void * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiitg[[thread_index_in_threadgroup]], + ushort3 ntg [[threads_per_threadgroup]]) { + const int32_t iw0 = tgpig.x/args.ne10; + const int32_t i10 = tgpig.x%args.ne10; + const int32_t i11 = tgpig.y; + const int32_t i12 = tgpig.z; + + const int32_t r = ((const device int32_t *) ((const device char *) src1 + i12*args.nb12 + i11*args.nb11 + i10*args.nb10))[0]; + + const int32_t i02 = i11; + const int32_t i03 = i12; + + auto psrc = (device const block_q *) ((const device char *) src0 + i03*args.nb03 + i02*args.nb02 + r*args.nb01); + auto pdst = (device float4x4 *) (( device char *) dst + i12*args.nb3 + i11*args.nb2 + i10*args.nb1); + + for (int ind = iw0*ntg.x + tiitg; ind < args.ne00t;) { + float4x4 temp; + dequantize_func(psrc + ind/nl, ind%nl, temp); + pdst[ind] = temp; + + break; + } +} + +template +kernel void kernel_get_rows_f( + constant lm_ggml_metal_kargs_get_rows & args, + device const void * src0, + device const void * src1, + device void * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiitg[[thread_index_in_threadgroup]], + ushort3 ntg [[threads_per_threadgroup]]) { + const int32_t iw0 = tgpig.x/args.ne10; + const int32_t i10 = tgpig.x%args.ne10; + const int32_t i11 = tgpig.y; + const int32_t i12 = tgpig.z; + + const int32_t r = ((const device int32_t *) ((const device char *) src1 + i12*args.nb12 + i11*args.nb11 + i10*args.nb10))[0]; + + const int32_t i02 = i11; + const int32_t i03 = i12; + + auto psrc = (const device T0 *) ((const device char *) src0 + i03*args.nb03 + i02*args.nb02 + r*args.nb01); + auto pdst = ( device T *) (( device char *) dst + i12*args.nb3 + i11*args.nb2 + i10*args.nb1); + + for (int ind = iw0*ntg.x + tiitg; ind < args.ne00t;) { + pdst[ind] = psrc[ind]; + + break; + } +} + +template +kernel void kernel_set_rows_q32( + constant lm_ggml_metal_kargs_set_rows & args, + device const void * src0, + device const void * src1, + device float * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint tiitg[[thread_index_in_threadgroup]], + uint3 tptg [[threads_per_threadgroup]]) { + const int32_t i03 = tgpig.z; + const int32_t i02 = tgpig.y; + + const int32_t i12 = i03%args.ne12; + const int32_t i11 = i02%args.ne11; + + const int32_t i01 = tgpig.x*tptg.y + tiitg/tptg.x; + if (i01 >= args.ne01) { + return; + } + + const int32_t i10 = i01; + const TI i1 = ((const device TI *) ((const device char *) src1 + i10*args.nb10 + i11*args.nb11 + i12*args.nb12))[0]; + + device block_q * dst_row = ( device block_q *) (( device char *) dst + i1*args.nb1 + i02*args.nb2 + i03*args.nb3); + const device float * src_row = (const device float *) ((const device char *) src0 + i01*args.nb01 + i02*args.nb02 + i03*args.nb03); + + for (int ind = tiitg%tptg.x; ind < args.nk0; ind += tptg.x) { + quantize_func(src_row + 32*ind, dst_row[ind]); + } +} + +template +kernel void kernel_set_rows_f( + constant lm_ggml_metal_kargs_set_rows & args, + device const void * src0, + device const void * src1, + device float * dst, + uint3 tgpig[[threadgroup_position_in_grid]], + uint tiitg[[thread_index_in_threadgroup]], + uint3 tptg [[threads_per_threadgroup]]) { + const int32_t i03 = tgpig.z; + const int32_t i02 = tgpig.y; + + const int32_t i12 = i03%args.ne12; + const int32_t i11 = i02%args.ne11; + + const int32_t i01 = tgpig.x*tptg.y + tiitg/tptg.x; + if (i01 >= args.ne01) { + return; + } + + const int32_t i10 = i01; + const TI i1 = ((const device TI *) ((const device char *) src1 + i10*args.nb10 + i11*args.nb11 + i12*args.nb12))[0]; + + device T * dst_row = ( device T *) (( device char *) dst + i1*args.nb1 + i02*args.nb2 + i03*args.nb3); + const device float * src_row = (const device float *) ((const device char *) src0 + i01*args.nb01 + i02*args.nb02 + i03*args.nb03); + + for (int ind = tiitg%tptg.x; ind < args.nk0; ind += tptg.x) { + dst_row[ind] = (T) src_row[ind]; + } +} + +constant bool FC_mul_mm_bc_inp [[function_constant(FC_MUL_MM + 0)]]; +constant bool FC_mul_mm_bc_out [[function_constant(FC_MUL_MM + 1)]]; + +// each block_q contains 16*nl weights +template +kernel void kernel_mul_mm( + constant lm_ggml_metal_kargs_mul_mm & args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiitg[[thread_index_in_threadgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + + threadgroup S0 * sa = (threadgroup S0 *)(shmem); + threadgroup S1 * sb = (threadgroup S1 *)(shmem + 4096); + + threadgroup float * sc = (threadgroup float *)(shmem); + + constexpr int NR0 = 64; + constexpr int NR1 = 32; + + constexpr int NK = 32; + constexpr int NL0 = NK/16; + constexpr int NL1 = NK/8; + + const int im = tgpig.z; + const int r0 = tgpig.y*NR0; + const int r1 = tgpig.x*NR1; + + // if this block is of 64x32 shape or smaller + const short nr0 = (args.ne0 - r0 < NR0) ? (args.ne0 - r0) : NR0; + const short nr1 = (args.ne1 - r1 < NR1) ? (args.ne1 - r1) : NR1; + + // a thread shouldn't load data outside of the matrix + const short lr0 = ((short)tiitg/NL0) < nr0 ? ((short)tiitg/NL0) : nr0 - 1; // 0 .. 63 + const short lr1 = ((short)tiitg/NL1) < nr1 ? ((short)tiitg/NL1) : nr1 - 1; // 0 .. 31 + + const short il0 = (tiitg % NL0); + + short il = il0; + + const int i12 = im%args.ne12; + const int i13 = im/args.ne12; + + const uint64_t offset0 = (i12/args.r2)*args.nb02 + (i13/args.r3)*args.nb03; + const short offset1 = il0/nl; + + device const block_q * x = (device const block_q *)(src0 + args.nb01*(r0 + lr0) + offset0) + offset1; + + const short iy = 8*(tiitg % NL1); + + device const T1 * y = (device const T1 *)(src1 + + args.nb13*i13 + + args.nb12*i12 + + args.nb11*(r1 + lr1) + + args.nb10*iy); + +#ifndef LM_GGML_METAL_HAS_TENSOR + S0_8x8 ma[4]; + S1_8x8 mb[2]; + + simdgroup_float8x8 mc[8]; + + for (short i = 0; i < 8; i++){ + mc[i] = make_filled_simdgroup_matrix(0.f); + } +#else + auto tA = tensor, tensor_inline>(sa, dextents(NK, NR0)); + auto tB = tensor, tensor_inline>(sb, dextents(NR1, NK )); + + mpp::tensor_ops::matmul2d< + mpp::tensor_ops::matmul2d_descriptor(NR1, NR0, NK, false, true, false, mpp::tensor_ops::matmul2d_descriptor::mode::multiply_accumulate), + execution_simdgroups<4>> mm; + + auto cT = mm.get_destination_cooperative_tensor(); +#endif + + for (int loop_k = 0; loop_k < args.ne00; loop_k += NK) { +#ifndef LM_GGML_METAL_HAS_TENSOR + // load data and store to threadgroup memory + if (is_same::value && FC_mul_mm_bc_inp) { + threadgroup_barrier(mem_flags::mem_threadgroup); + + // no need for dequantization + for (short i = 0; i < 16; i++) { + const short sx = 2*il0 + i/8; + const short sy = (tiitg/NL0)/8; + + //const short lx = i%8; + //const short ly = (tiitg/NL0)%8; + const short lx = (tiitg/NL0)%8; + const short ly = i%8; + + const short ib = 8*sx + sy; + + *(sa + 64*ib + 8*ly + lx) = loop_k + 16*il + i < args.ne00 ? *((device T0 *) x + i) : 0; + } + } else { + S0_4x4 temp_a; + dequantize_func(x, il, temp_a); + + threadgroup_barrier(mem_flags::mem_threadgroup); + + FOR_UNROLL (short i = 0; i < 16; i++) { + const short sx = 2*il0 + i/8; + const short sy = (tiitg/NL0)/8; + + //const short lx = i%8; + //const short ly = (tiitg/NL0)%8; + const short lx = (tiitg/NL0)%8; + const short ly = i%8; + + const short ib = 8*sx + sy; + + // NOTE: this is massively slower.. WTF? + //sa[64*ib + 8*ly + lx] = temp_a[i/4][i%4]; + + *(sa + 64*ib + 8*ly + lx) = temp_a[i/4][i%4]; + } + } + + if (FC_mul_mm_bc_inp) { + for (short i = 0; i < 8; ++i) { + const short sx = (tiitg%NL1); + const short sy = (tiitg/NL1)/8; + + const short lx = i; + const short ly = (tiitg/NL1)%8; + //const short lx = (tiitg/NL1)%8; + //const short ly = i; + + const short ib = 4*sx + sy; + + *(sb + 64*ib + 8*ly + lx) = loop_k + iy + i < args.ne00 ? (S1) *((device T1 *) y + i) : 0; + } + } else { + const short sx = (tiitg%NL1); + const short sy = (tiitg/NL1)/8; + + const short dx = sx; + const short dy = sy; + + const short ly = (tiitg/NL1)%8; + + const short ib = 4*sx + sy; + + *(threadgroup S1_2x4 *)(sb + 64*ib + 8*ly) = (S1_2x4)(*((device T1_2x4 *) y)); + } +#else + // load data and store to threadgroup memory + if (is_same::value && FC_mul_mm_bc_inp) { + threadgroup_barrier(mem_flags::mem_threadgroup); + + // no need for dequantization + for (short i = 0; i < 16; i++) { + const short sx = 2*il0 + i/8; + const short sy = (tiitg/NL0)/8; + + const short lx = i%8; + const short ly = (tiitg/NL0)%8; + //const short lx = (tiitg/NL0)%8; + //const short ly = i%8; + + *(sa + NK*(8*sy + ly) + 8*sx + lx) = loop_k + 16*il + i < args.ne00 ? *((device T0 *) x + i) : 0; + } + } else { + S0_4x4 temp_a; + dequantize_func(x, il, temp_a); + + threadgroup_barrier(mem_flags::mem_threadgroup); + + FOR_UNROLL (short i = 0; i < 16; i++) { + const short sx = 2*il0 + i/8; + const short sy = (tiitg/NL0)/8; + + const short lx = i%8; + const short ly = (tiitg/NL0)%8; + //const short lx = (tiitg/NL0)%8; + //const short ly = i%8; + + *(sa + NK*(8*sy + ly) + 8*sx + lx) = temp_a[i/4][i%4]; + } + } + + if (FC_mul_mm_bc_inp) { + for (short i = 0; i < 8; ++i) { + const short sx = (tiitg%NL1); + const short sy = (tiitg/NL1)/8; + + const short lx = i; + const short ly = (tiitg/NL1)%8; + //const short lx = (tiitg/NL1)%8; + //const short ly = i; + + *(sb + NK*(8*sy + ly) + 8*sx + lx) = loop_k + iy + i < args.ne00 ? (S1) *((device T1 *) y + i) : 0; + } + } else { + const short sx = (tiitg%NL1); + const short sy = (tiitg/NL1)/8; + + //const short lx = i; + const short ly = (tiitg/NL1)%8; + //const short lx = (tiitg/NL1)%8; + //const short ly = i; + + *(threadgroup S1_2x4 *)(sb + NK*(8*sy + ly) + 8*sx) = (S1_2x4)(*((device T1_2x4 *) y)); + } +#endif + + il = (il + 2 < nl) ? il + 2 : il % 2; + x = (il < 2) ? x + (2 + nl - 1)/nl : x; + + y += NK; + + threadgroup_barrier(mem_flags::mem_threadgroup); + +#ifndef LM_GGML_METAL_HAS_TENSOR + // load matrices from threadgroup memory and conduct outer products + threadgroup const S0 * lsma = (sa + 4*64*(sgitg%2)); + threadgroup const S1 * lsmb = (sb + 2*64*(sgitg/2)); + + FOR_UNROLL (short ik = 0; ik < NK/8; ik++) { + simdgroup_barrier(mem_flags::mem_none); + + FOR_UNROLL (short i = 0; i < 4; i++) { + simdgroup_load(ma[i], lsma + 64*i, 8, 0, false); + } + + simdgroup_barrier(mem_flags::mem_none); + + FOR_UNROLL (short i = 0; i < 2; i++) { + simdgroup_load(mb[i], lsmb + 64*i, 8, 0, false); + } + + simdgroup_barrier(mem_flags::mem_none); + + FOR_UNROLL (short i = 0; i < 8; i++){ + simdgroup_multiply_accumulate(mc[i], mb[i/4], ma[i%4], mc[i]); + } + + lsma += 8*64; + lsmb += 4*64; + } +#else + auto sA = tA.slice(0, 0); + auto sB = tB.slice(0, 0); + + mm.run(sB, sA, cT); +#endif + } + + if (!FC_mul_mm_bc_out || (r0 + NR0 <= args.ne0 && r1 + NR1 <= args.ne1)) { + // if no bounds checks on the output are needed, we can directly write to device memory +#ifdef LM_GGML_METAL_HAS_TENSOR + device float * C = (device float *) dst + + r0 + \ + r1 * args.ne0 + im*args.ne1*args.ne0; + + auto tC = tensor, tensor_inline>(C, dextents(args.ne0, NR1)); + cT.store(tC); +#else + device float * C = (device float *) dst + + (r0 + 32*(sgitg & 1)) + \ + (r1 + 16*(sgitg >> 1)) * args.ne0 + im*args.ne1*args.ne0; + + for (short i = 0; i < 8; i++) { + simdgroup_store(mc[i], C + 8*(i%4) + 8*args.ne0*(i/4), args.ne0, 0, false); + } +#endif + } else { + // block is smaller than 64x32, we should avoid writing data outside of the matrix + threadgroup_barrier(mem_flags::mem_threadgroup); + + threadgroup float * temp_str = ((threadgroup float *) shmem) + 32*(sgitg&1) + (16*(sgitg >> 1))*NR0; + +#ifdef LM_GGML_METAL_HAS_TENSOR + auto tC = tensor, tensor_inline>(sc, dextents(NR0, NR1)); + cT.store(tC); +#else + for (short i = 0; i < 8; i++) { + simdgroup_store(mc[i], temp_str + 8*(i%4) + 8*NR0*(i/4), NR0, 0, false); + } +#endif + + threadgroup_barrier(mem_flags::mem_threadgroup); + + if (sgitg == 0) { + for (int j = tiitg; j < nr1; j += NR1) { + device float * D = (device float *) dst + r0 + (r1 + j)*args.ne0 + im*args.ne1*args.ne0; + device float4 * D4 = (device float4 *) D; + + threadgroup float * C = temp_str + (j*NR0); + threadgroup float4 * C4 = (threadgroup float4 *) C; + + int i = 0; + for (; i < nr0/4; i++) { + *(D4 + i) = *(C4 + i); + } + + i *= 4; + for (; i < nr0; i++) { + *(D + i) = *(C + i); + } + } + } + } +} + +template // n_expert_used +kernel void kernel_mul_mm_id_map0( + constant lm_ggml_metal_kargs_mul_mm_id_map0 & args, + device const char * src2, + device char * htpe, + device char * hids, + threadgroup char * shmem [[threadgroup(0)]], + ushort tpitg[[thread_position_in_threadgroup]], + ushort ntg[[threads_per_threadgroup]]) { + const short ide = tpitg; // expert id + + uint32_t n_all = 0; + + device int32_t * ids_i32 = (device int32_t *) hids + ide*args.ne21; + + for (int i21 = 0; i21 < args.ne21; i21 += ntg) { // n_tokens + if (i21 + tpitg < args.ne21) { + device const int32_t * src2_i32 = (device const int32_t *) (src2 + (i21 + tpitg)*args.nb21); + + threadgroup uint16_t * sids = (threadgroup uint16_t *) shmem + tpitg*ne20; + + #pragma unroll(ne20) + for (short i20 = 0; i20 < ne20; i20++) { + sids[i20] = src2_i32[i20]; + } + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + + for (short t = 0; t < ntg; t++) { + if (i21 + t >= args.ne21) { + break; + } + + threadgroup const uint16_t * sids = (threadgroup const uint16_t *) shmem + t*ne20; + + short sel = 0; + #pragma unroll(ne20) + for (short i20 = 0; i20 < ne20; i20++) { + sel += (sids[i20] == ide)*(i20 + 1); + } + + ids_i32[n_all] = (i21 + t)*ne20 + sel - 1; + + n_all += sel > 0; + } + + threadgroup_barrier(mem_flags::mem_threadgroup); + } + + device uint32_t * tpe_u32 = (device uint32_t *) (htpe); + tpe_u32[ide] = n_all; +} + +typedef decltype(kernel_mul_mm_id_map0<1>) kernel_mul_mm_id_map0_t; + +template [[host_name("kernel_mul_mm_id_map0_ne20_1" )]] kernel kernel_mul_mm_id_map0_t kernel_mul_mm_id_map0<1>; +template [[host_name("kernel_mul_mm_id_map0_ne20_2" )]] kernel kernel_mul_mm_id_map0_t kernel_mul_mm_id_map0<2>; +template [[host_name("kernel_mul_mm_id_map0_ne20_4" )]] kernel kernel_mul_mm_id_map0_t kernel_mul_mm_id_map0<4>; +template [[host_name("kernel_mul_mm_id_map0_ne20_6" )]] kernel kernel_mul_mm_id_map0_t kernel_mul_mm_id_map0<6>; +template [[host_name("kernel_mul_mm_id_map0_ne20_8" )]] kernel kernel_mul_mm_id_map0_t kernel_mul_mm_id_map0<8>; +template [[host_name("kernel_mul_mm_id_map0_ne20_10")]] kernel kernel_mul_mm_id_map0_t kernel_mul_mm_id_map0<10>; +template [[host_name("kernel_mul_mm_id_map0_ne20_16")]] kernel kernel_mul_mm_id_map0_t kernel_mul_mm_id_map0<16>; + +template +kernel void kernel_mul_mm_id( + constant lm_ggml_metal_kargs_mul_mm_id & args, + device const char * src0, + device const char * src1, + device const char * htpe, + device const char * hids, + device char * dst, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiitg[[thread_index_in_threadgroup]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + threadgroup S0 * sa = (threadgroup S0 *)(shmem); + threadgroup S1 * sb = (threadgroup S1 *)(shmem + 4096); + + threadgroup float * sc = (threadgroup float *)(shmem); + + constexpr int NR0 = 64; + constexpr int NR1 = 32; + + constexpr int NK = 32; + constexpr int NL0 = NK/16; + constexpr int NL1 = NK/8; + + const int im = tgpig.z; // expert + const int r0 = tgpig.y*NR0; + const int r1 = tgpig.x*NR1; + + device const uint32_t * tpe_u32 = (device const uint32_t *) (htpe); + device const int32_t * ids_i32 = (device const int32_t *) (hids); + + const int32_t neh1 = tpe_u32[im]; + + if (r1 >= neh1) { + return; + } + + // if this block is of 64x32 shape or smaller + const short nr0 = (args.ne0 - r0 < NR0) ? (args.ne0 - r0) : NR0; + const short nr1 = ( neh1 - r1 < NR1) ? ( neh1 - r1) : NR1; + + // a thread shouldn't load data outside of the matrix + const short lr0 = ((short)tiitg/NL0) < nr0 ? ((short)tiitg/NL0) : nr0 - 1; // 0 .. 63 + const short lr1 = ((short)tiitg/NL1) < nr1 ? ((short)tiitg/NL1) : nr1 - 1; // 0 .. 31 + + const short il0 = (tiitg % NL0); + + short il = il0; + + const int id = ids_i32[im*args.ne21 + r1 + lr1]; + + const short i11 = (id % args.ne20) % args.ne11; + const short i12 = (id / args.ne20); + const short i13 = 0; + + const uint64_t offset0 = im*args.nb02 + i13*args.nb03; + const short offset1 = il0/nl; + + device const block_q * x = (device const block_q *)(src0 + args.nb01*(r0 + lr0) + offset0) + offset1; + + const short iy = 8*(tiitg % NL1); + + device const T1 * y = (device const T1 *)(src1 + + args.nb13*i13 + + args.nb12*i12 + + args.nb11*i11 + + args.nb10*iy); + +#ifndef LM_GGML_METAL_HAS_TENSOR + S0_8x8 ma[4]; + S1_8x8 mb[2]; + + simdgroup_float8x8 mc[8]; + + for (short i = 0; i < 8; i++){ + mc[i] = make_filled_simdgroup_matrix(0.f); + } +#else + auto tA = tensor, tensor_inline>(sa, dextents(NK, NR0)); + auto tB = tensor, tensor_inline>(sb, dextents(NR1, NK )); + + mpp::tensor_ops::matmul2d< + mpp::tensor_ops::matmul2d_descriptor(NR1, NR0, NK, false, true, false, mpp::tensor_ops::matmul2d_descriptor::mode::multiply_accumulate), + execution_simdgroups<4>> mm; + + auto cT = mm.get_destination_cooperative_tensor(); +#endif + + for (int loop_k = 0; loop_k < args.ne00; loop_k += NK) { +#ifndef LM_GGML_METAL_HAS_TENSOR + // load data and store to threadgroup memory + if (is_same::value && FC_mul_mm_bc_inp) { + threadgroup_barrier(mem_flags::mem_threadgroup); + + // no need for dequantization + for (short i = 0; i < 16; i++) { + const short sx = 2*il0 + i/8; + const short sy = (tiitg/NL0)/8; + + //const short lx = i%8; + //const short ly = (tiitg/NL0)%8; + const short lx = (tiitg/NL0)%8; + const short ly = i%8; + + const short ib = 8*sx + sy; + + *(sa + 64*ib + 8*ly + lx) = loop_k + 16*il + i < args.ne00 ? *((device T0 *) x + i) : 0; + } + } else { + S0_4x4 temp_a; + dequantize_func(x, il, temp_a); + + threadgroup_barrier(mem_flags::mem_threadgroup); + + FOR_UNROLL (short i = 0; i < 16; i++) { + const short sx = 2*il0 + i/8; + const short sy = (tiitg/NL0)/8; + + //const short lx = i%8; + //const short ly = (tiitg/NL0)%8; + const short lx = (tiitg/NL0)%8; + const short ly = i%8; + + const short ib = 8*sx + sy; + + // NOTE: this is massively slower.. WTF? + //sa[64*ib + 8*ly + lx] = temp_a[i/4][i%4]; + + *(sa + 64*ib + 8*ly + lx) = temp_a[i/4][i%4]; + } + } + + if (FC_mul_mm_bc_inp) { + for (short i = 0; i < 8; ++i) { + const short sx = (tiitg%NL1); + const short sy = (tiitg/NL1)/8; + + const short lx = i; + const short ly = (tiitg/NL1)%8; + //const short lx = (tiitg/NL1)%8; + //const short ly = i; + + const short ib = 4*sx + sy; + + *(sb + 64*ib + 8*ly + lx) = loop_k + iy + i < args.ne00 ? (S1) *((device T1 *) y + i) : 0; + } + } else { + const short sx = (tiitg%NL1); + const short sy = (tiitg/NL1)/8; + + const short dx = sx; + const short dy = sy; + + const short ly = (tiitg/NL1)%8; + + const short ib = 4*sx + sy; + + *(threadgroup S1_2x4 *)(sb + 64*ib + 8*ly) = (S1_2x4)(*((device T1_2x4 *) y)); + } +#else + // load data and store to threadgroup memory + if (is_same::value && FC_mul_mm_bc_inp) { + threadgroup_barrier(mem_flags::mem_threadgroup); + + // no need for dequantization + for (short i = 0; i < 16; i++) { + const short sx = 2*il0 + i/8; + const short sy = (tiitg/NL0)/8; + + const short lx = i%8; + const short ly = (tiitg/NL0)%8; + //const short lx = (tiitg/NL0)%8; + //const short ly = i%8; + + *(sa + NK*(8*sy + ly) + 8*sx + lx) = loop_k + 16*il + i < args.ne00 ? *((device T0 *) x + i) : 0; + } + } else { + S0_4x4 temp_a; + dequantize_func(x, il, temp_a); + + threadgroup_barrier(mem_flags::mem_threadgroup); + + FOR_UNROLL (short i = 0; i < 16; i++) { + const short sx = 2*il0 + i/8; + const short sy = (tiitg/NL0)/8; + + const short lx = i%8; + const short ly = (tiitg/NL0)%8; + //const short lx = (tiitg/NL0)%8; + //const short ly = i%8; + + *(sa + NK*(8*sy + ly) + 8*sx + lx) = temp_a[i/4][i%4]; + } + } + + if (FC_mul_mm_bc_inp) { + for (short i = 0; i < 8; ++i) { + const short sx = (tiitg%NL1); + const short sy = (tiitg/NL1)/8; + + const short lx = i; + const short ly = (tiitg/NL1)%8; + //const short lx = (tiitg/NL1)%8; + //const short ly = i; + + *(sb + NK*(8*sy + ly) + 8*sx + lx) = loop_k + iy + i < args.ne00 ? (S1) *((device T1 *) y + i) : 0; + } + } else { + const short sx = (tiitg%NL1); + const short sy = (tiitg/NL1)/8; + + //const short lx = i; + const short ly = (tiitg/NL1)%8; + //const short lx = (tiitg/NL1)%8; + //const short ly = i; + + *(threadgroup S1_2x4 *)(sb + NK*(8*sy + ly) + 8*sx) = (S1_2x4)(*((device T1_2x4 *) y)); + } +#endif + + il = (il + 2 < nl) ? il + 2 : il % 2; + x = (il < 2) ? x + (2 + nl - 1)/nl : x; + + y += NK; + + threadgroup_barrier(mem_flags::mem_threadgroup); + +#ifndef LM_GGML_METAL_HAS_TENSOR + // load matrices from threadgroup memory and conduct outer products + threadgroup const S0 * lsma = (sa + 4*64*(sgitg%2)); + threadgroup const S1 * lsmb = (sb + 2*64*(sgitg/2)); + + FOR_UNROLL (short ik = 0; ik < NK/8; ik++) { + simdgroup_barrier(mem_flags::mem_none); + + FOR_UNROLL (short i = 0; i < 4; i++) { + simdgroup_load(ma[i], lsma + 64*i, 8, 0, false); + } + + simdgroup_barrier(mem_flags::mem_none); + + FOR_UNROLL (short i = 0; i < 2; i++) { + simdgroup_load(mb[i], lsmb + 64*i, 8, 0, false); + } + + simdgroup_barrier(mem_flags::mem_none); + + FOR_UNROLL (short i = 0; i < 8; i++){ + simdgroup_multiply_accumulate(mc[i], mb[i/4], ma[i%4], mc[i]); + } + + lsma += 8*64; + lsmb += 4*64; + } +#else + auto sA = tA.slice(0, 0); + auto sB = tB.slice(0, 0); + + mm.run(sB, sA, cT); +#endif + } + + // block is smaller than 64x32, we should avoid writing data outside of the matrix + threadgroup_barrier(mem_flags::mem_threadgroup); + +#ifdef LM_GGML_METAL_HAS_TENSOR + auto tC = tensor, tensor_inline>(sc, dextents(NR0, NR1)); + cT.store(tC); +#else + threadgroup float * temp_str = ((threadgroup float *) shmem) + 32*(sgitg&1) + (16*(sgitg >> 1))*NR0; + + for (short i = 0; i < 8; i++) { + simdgroup_store(mc[i], temp_str + 8*(i%4) + 8*NR0*(i/4), NR0, 0, false); + } +#endif + + threadgroup_barrier(mem_flags::mem_threadgroup); + + for (short j = sgitg; j < nr1; j += 4) { + const int id = ids_i32[im*args.ne21 + r1 + j]; + + const short ide = id % args.ne20; + const short idt = id / args.ne20; + + device float * D = (device float *) dst + r0 + ide*args.ne0 + idt*args.ne1*args.ne0; + device float4 * D4 = (device float4 *) D; + + threadgroup float * C = (threadgroup float *) shmem + j*NR0; + threadgroup float4 * C4 = (threadgroup float4 *) C; + + int i = tiisg; + for (; i < nr0/4; i += 32) { + *(D4 + i) = *(C4 + i); + } + + i = (4*(nr0/4)) + tiisg; + for (; i < nr0; i += 32) { + *(D + i) = *(C + i); + } + } +} + +#define QK_NL 16 + +// +// get rows +// + +typedef decltype(kernel_get_rows_f) get_rows_f_t; + +template [[host_name("kernel_get_rows_f32")]] kernel get_rows_f_t kernel_get_rows_f; +template [[host_name("kernel_get_rows_f16")]] kernel get_rows_f_t kernel_get_rows_f; +template [[host_name("kernel_get_rows_i32")]] kernel get_rows_f_t kernel_get_rows_f; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_get_rows_bf16")]] kernel get_rows_f_t kernel_get_rows_f; +#endif + +typedef decltype(kernel_get_rows_q) get_rows_q_t; + +template [[host_name("kernel_get_rows_q4_0")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_q4_1")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_q5_0")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_q5_1")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_q8_0")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_mxfp4")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_q2_K")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_q3_K")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_q4_K")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_q5_K")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_q6_K")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_iq2_xxs")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_iq2_xs")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_iq3_xxs")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_iq3_s")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_iq2_s")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_iq1_s")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_iq1_m")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_iq4_nl")]] kernel get_rows_q_t kernel_get_rows_q; +template [[host_name("kernel_get_rows_iq4_xs")]] kernel get_rows_q_t kernel_get_rows_q; + +// +// set rows +// + +typedef decltype(kernel_set_rows_f) set_rows_f_t; + +template [[host_name("kernel_set_rows_f32_i64")]] kernel set_rows_f_t kernel_set_rows_f; +template [[host_name("kernel_set_rows_f32_i32")]] kernel set_rows_f_t kernel_set_rows_f; +template [[host_name("kernel_set_rows_f16_i64")]] kernel set_rows_f_t kernel_set_rows_f; +template [[host_name("kernel_set_rows_f16_i32")]] kernel set_rows_f_t kernel_set_rows_f; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_set_rows_bf16_i64")]] kernel set_rows_f_t kernel_set_rows_f; +template [[host_name("kernel_set_rows_bf16_i32")]] kernel set_rows_f_t kernel_set_rows_f; +#endif + +typedef decltype(kernel_set_rows_q32) set_rows_q32_t; + +template [[host_name("kernel_set_rows_q8_0_i64")]] kernel set_rows_q32_t kernel_set_rows_q32; +template [[host_name("kernel_set_rows_q8_0_i32")]] kernel set_rows_q32_t kernel_set_rows_q32; +template [[host_name("kernel_set_rows_q4_0_i64")]] kernel set_rows_q32_t kernel_set_rows_q32; +template [[host_name("kernel_set_rows_q4_0_i32")]] kernel set_rows_q32_t kernel_set_rows_q32; +template [[host_name("kernel_set_rows_q4_1_i64")]] kernel set_rows_q32_t kernel_set_rows_q32; +template [[host_name("kernel_set_rows_q4_1_i32")]] kernel set_rows_q32_t kernel_set_rows_q32; +template [[host_name("kernel_set_rows_q5_0_i64")]] kernel set_rows_q32_t kernel_set_rows_q32; +template [[host_name("kernel_set_rows_q5_0_i32")]] kernel set_rows_q32_t kernel_set_rows_q32; +template [[host_name("kernel_set_rows_q5_1_i64")]] kernel set_rows_q32_t kernel_set_rows_q32; +template [[host_name("kernel_set_rows_q5_1_i32")]] kernel set_rows_q32_t kernel_set_rows_q32; +template [[host_name("kernel_set_rows_iq4_nl_i64")]] kernel set_rows_q32_t kernel_set_rows_q32; +template [[host_name("kernel_set_rows_iq4_nl_i32")]] kernel set_rows_q32_t kernel_set_rows_q32; + +// +// matrix-matrix multiplication +// + +typedef decltype(kernel_mul_mm) mul_mm_t; + +template [[host_name("kernel_mul_mm_f32_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_f16_f32")]] kernel mul_mm_t kernel_mul_mm; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_mul_mm_bf16_f32")]] kernel mul_mm_t kernel_mul_mm; +#endif +template [[host_name("kernel_mul_mm_q4_0_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q4_1_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q5_0_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q5_1_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q8_0_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_mxfp4_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q2_K_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q3_K_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q4_K_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q5_K_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q6_K_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq2_xxs_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq2_xs_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq3_xxs_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq3_s_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq2_s_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq1_s_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq1_m_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq4_nl_f32")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq4_xs_f32")]] kernel mul_mm_t kernel_mul_mm; + +template [[host_name("kernel_mul_mm_f32_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_f16_f16")]] kernel mul_mm_t kernel_mul_mm; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_mul_mm_bf16_f16")]] kernel mul_mm_t kernel_mul_mm; +#endif +template [[host_name("kernel_mul_mm_q4_0_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q4_1_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q5_0_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q5_1_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q8_0_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_mxfp4_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q2_K_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q3_K_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q4_K_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q5_K_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_q6_K_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq2_xxs_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq2_xs_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq3_xxs_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq3_s_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq2_s_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq1_s_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq1_m_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq4_nl_f16")]] kernel mul_mm_t kernel_mul_mm; +template [[host_name("kernel_mul_mm_iq4_xs_f16")]] kernel mul_mm_t kernel_mul_mm; + +// +// indirect matrix-matrix multiplication +// + +typedef decltype(kernel_mul_mm_id) mul_mm_id; + +template [[host_name("kernel_mul_mm_id_f32_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_f16_f32")]] kernel mul_mm_id kernel_mul_mm_id; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_mul_mm_id_bf16_f32")]] kernel mul_mm_id kernel_mul_mm_id; +#endif +template [[host_name("kernel_mul_mm_id_q4_0_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q4_1_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q5_0_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q5_1_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q8_0_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_mxfp4_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q2_K_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q3_K_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q4_K_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q5_K_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q6_K_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq2_xxs_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq2_xs_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq3_xxs_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq3_s_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq2_s_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq1_s_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq1_m_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq4_nl_f32")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq4_xs_f32")]] kernel mul_mm_id kernel_mul_mm_id; + +template [[host_name("kernel_mul_mm_id_f32_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_f16_f16")]] kernel mul_mm_id kernel_mul_mm_id; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_mul_mm_id_bf16_f16")]] kernel mul_mm_id kernel_mul_mm_id; +#endif +template [[host_name("kernel_mul_mm_id_q4_0_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q4_1_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q5_0_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q5_1_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q8_0_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_mxfp4_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q2_K_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q3_K_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q4_K_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q5_K_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_q6_K_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq2_xxs_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq2_xs_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq3_xxs_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq3_s_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq2_s_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq1_s_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq1_m_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq4_nl_f16")]] kernel mul_mm_id kernel_mul_mm_id; +template [[host_name("kernel_mul_mm_id_iq4_xs_f16")]] kernel mul_mm_id kernel_mul_mm_id; + +// +// matrix-vector multiplication +// + +typedef void (kernel_mul_mv_disp_t)( + lm_ggml_metal_kargs_mul_mv args, + device const char * src0, + device const char * src1, + device char * dst, + uint3 tgpig, + ushort tiisg); + +typedef void (kernel_mul_mv2_disp_t)( + lm_ggml_metal_kargs_mul_mv args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiisg, + ushort sgitg); + +template +void mmv_fn( + lm_ggml_metal_kargs_mul_mv args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiitg, + ushort tiisg, + ushort sgitg) { + disp_fn(args, src0, src1, dst, tgpig, tiisg); +} + +template +void mmv_fn( + lm_ggml_metal_kargs_mul_mv args, + device const char * src0, + device const char * src1, + device char * dst, + threadgroup char * shmem, + uint3 tgpig, + ushort tiitg, + ushort tiisg, + ushort sgitg) { + disp_fn(args, src0, src1, dst, shmem, tgpig, tiisg, sgitg); +} + +typedef decltype(mmv_fn>) mul_mv_disp_fn_t; + +template +kernel void kernel_mul_mv_id( + constant lm_ggml_metal_kargs_mul_mv_id & args, + device const char * src0s, + device const char * src1, + device char * dst, + device const char * ids, + threadgroup char * shmem [[threadgroup(0)]], + uint3 tgpig[[threadgroup_position_in_grid]], + ushort tiitg[[thread_index_in_threadgroup]], + ushort tiisg[[thread_index_in_simdgroup]], + ushort sgitg[[simdgroup_index_in_threadgroup]]) { + const int iid1 = tgpig.z/args.nei0; + const int idx = tgpig.z%args.nei0; + + tgpig.z = 0; + + const int32_t i02 = ((device const int32_t *) (ids + iid1*args.nbi1))[idx]; + + const int64_t i11 = idx % args.ne11; + const int64_t i12 = iid1; + + const int64_t i1 = idx; + const int64_t i2 = i12; + + device const char * src0_cur = src0s + i02*args.nb02; + device const char * src1_cur = src1 + i11*args.nb11 + i12*args.nb12; + + device char * dst_cur = dst + (i1*args.ne0 + i2*args.ne1*args.ne0)*sizeof(float); + + lm_ggml_metal_kargs_mul_mv args0 = { + /*.ne00 =*/ args.ne00, + /*.ne01 =*/ args.ne01, + /*.ne02 =*/ 1, // args.ne02, + /*.nb00 =*/ args.nb00, + /*.nb01 =*/ args.nb01, + /*.nb02 =*/ args.nb02, + /*.nb03 =*/ args.nb02, // args.ne02 == 1 + /*.ne10 =*/ args.ne10, + /*.ne11 =*/ 1, // args.ne11, + /*.ne12 =*/ 1, // args.ne12, + /*.nb10 =*/ args.nb10, + /*.nb11 =*/ args.nb11, + /*.nb12 =*/ args.nb12, + /*.nb13 =*/ args.nb12, // ne12 == 1 + /*.ne0 =*/ args.ne0, + /*.ne1 =*/ 1, // args.ne1, + /*.nr0 =*/ args.nr0, + /*.r2 =*/ 1, + /*.r3 =*/ 1, + }; + + disp_fn( + args0, + /* src0 */ src0_cur, + /* src1 */ src1_cur, + /* dst */ dst_cur, + shmem, + tgpig, + tiitg, + tiisg, + sgitg); +} + +typedef decltype(kernel_mul_mv_id>>) kernel_mul_mv_id_t; + +typedef decltype(kernel_mul_mv_id>>) kernel_mul_mv_id_4_t; + +template [[host_name("kernel_mul_mv_id_f32_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_f16_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_mul_mv_id_bf16_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +#endif +template [[host_name("kernel_mul_mv_id_f32_f32_4")]] kernel kernel_mul_mv_id_4_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_f16_f32_4")]] kernel kernel_mul_mv_id_4_t kernel_mul_mv_id>>; +#if defined(LM_GGML_METAL_HAS_BF16) +template [[host_name("kernel_mul_mv_id_bf16_f32_4")]] kernel kernel_mul_mv_id_4_t kernel_mul_mv_id>>; +#endif + +template [[host_name("kernel_mul_mv_id_q8_0_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; + +template [[host_name("kernel_mul_mv_id_q4_0_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_q4_1_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_q5_0_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_q5_1_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; + +template [[host_name("kernel_mul_mv_id_mxfp4_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; + +template [[host_name("kernel_mul_mv_id_q2_K_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_q3_K_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_q4_K_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_q5_K_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_q6_K_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_iq1_s_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_iq1_m_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_iq2_xxs_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_iq2_xs_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_iq3_xxs_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_iq3_s_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_iq2_s_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_iq4_nl_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; +template [[host_name("kernel_mul_mv_id_iq4_xs_f32")]] kernel kernel_mul_mv_id_t kernel_mul_mv_id>>; + +kernel void kernel_pool_2d_max_f32( + constant lm_ggml_metal_kargs_pool_2d & args, + device const float * src0, + device float * dst, + uint gid[[thread_position_in_grid]]) { + + if (gid >= args.np) { + return; + } + + const int idx = gid; + const int I_HW = args.IH * args.IW; + const int O_HW = args.OH * args.OW; + const int nc = idx / O_HW; + const int cur_oh = idx % O_HW / args.OW; + const int cur_ow = idx % O_HW % args.OW; + + device const float * i_ptr = src0 + nc * I_HW; + device float * o_ptr = dst + nc * O_HW; + + const int start_h = cur_oh * args.s1 - args.p1; + const int bh = MAX(0, start_h); + const int eh = MIN(args.IH, start_h + args.k1); + const int start_w = cur_ow * args.s0 - args.p0; + const int bw = MAX(0, start_w); + const int ew = MIN(args.IW, start_w + args.k0); + + float res = -INFINITY; + + for (int i = bh; i < eh; i += 1) { + for (int j = bw; j < ew; j += 1) { + res = MAX(res, i_ptr[i * args.IW + j]); + } + } + + o_ptr[cur_oh * args.OW + cur_ow] = res; +} + +kernel void kernel_pool_2d_avg_f32( + constant lm_ggml_metal_kargs_pool_2d & args, + device const float * src0, + device float * dst, + uint gid[[thread_position_in_grid]]) { + + if (gid >= args.np) { + return; + } + + const int idx = gid; + const int I_HW = args.IH * args.IW; + const int O_HW = args.OH * args.OW; + const int nc = idx / O_HW; + const int cur_oh = idx % O_HW / args.OW; + const int cur_ow = idx % O_HW % args.OW; + + device const float * i_ptr = src0 + nc * I_HW; + device float * o_ptr = dst + nc * O_HW; + + const int start_h = cur_oh * args.s1 - args.p1; + const int bh = MAX(0, start_h); + const int eh = MIN(args.IH, start_h + args.k1); + const int start_w = cur_ow * args.s0 - args.p0; + const int bw = MAX(0, start_w); + const int ew = MIN(args.IW, start_w + args.k0); + // const float scale = 1. / ((eh - bh) * (ew - bw)); + const float scale = 1. / (args.k0 * args.k1); + + float res = 0; + + for (int i = bh; i < eh; i += 1) { + for (int j = bw; j < ew; j += 1) { + float cur = i_ptr[i * args.IW + j]; + res += cur * scale; + } + } + + o_ptr[cur_oh * args.OW + cur_ow] = res; +} + +kernel void kernel_opt_step_adamw_f32( + constant lm_ggml_metal_kargs_opt_step_adamw & args, + device float * x, + device const float * g, + device float * g_m, + device float * g_v, + device const float * pars, + uint gid[[thread_position_in_grid]]) { + + if (gid >= args.np) { + return; + } + + const float alpha = pars[0]; + const float beta1 = pars[1]; + const float beta2 = pars[2]; + const float eps = pars[3]; + const float wd = pars[4]; + const float beta1h = pars[5]; + const float beta2h = pars[6]; + + const float gi = g[gid]; + const float gmi = g_m[gid] * beta1 + gi * (1.0f - beta1); + const float gvi = g_v[gid] * beta2 + gi * gi * (1.0f - beta2); + + g_m[gid] = gmi; + g_v[gid] = gvi; + + const float mh = gmi * beta1h; + const float vh = sqrt(gvi * beta2h) + eps; + + x[gid] = x[gid] * (1.0f - alpha * wd) - alpha * mh / vh; +} + +kernel void kernel_opt_step_sgd_f32( + constant lm_ggml_metal_kargs_opt_step_sgd & args, + device float * x, + device const float * g, + device const float * pars, + uint gid[[thread_position_in_grid]]) { + + if (gid >= args.np) { + return; + } + + x[gid] = x[gid] * (1.0f - pars[0] * pars[1]) - pars[0] * g[gid]; +} diff --git a/example/ios/Podfile.lock b/example/ios/Podfile.lock index 79f5eba2..d37988e3 100644 --- a/example/ios/Podfile.lock +++ b/example/ios/Podfile.lock @@ -8,7 +8,7 @@ PODS: - hermes-engine (0.82.0): - hermes-engine/Pre-built (= 0.82.0) - hermes-engine/Pre-built (0.82.0) - - llama-rn (0.8.3): + - llama-rn (0.9.0-rc.1): - boost - DoubleConversion - fast_float @@ -3024,7 +3024,7 @@ SPEC CHECKSUMS: fmt: a40bb5bd0294ea969aaaba240a927bd33d878cdd glog: 5683914934d5b6e4240e497e0f4a3b42d1854183 hermes-engine: 8642d8f14a548ab718ec112e9bebdfdd154138b5 - llama-rn: b41b0d37943a228fe1982671111ebf1ed8fb817a + llama-rn: f42e8f8311ec8e0c995262e257f74db597e3a106 RCT-Folly: 59ec0ac1f2f39672a0c6e6cecdd39383b764646f RCTDeprecation: 22bf66112da540a7d40e536366ddd8557934fca1 RCTRequired: a0ed4dc41b35f79fbb6d8ba320e06882a8c792cf diff --git a/llama-rn.podspec b/llama-rn.podspec index c10b225c..fa1545f9 100644 --- a/llama-rn.podspec +++ b/llama-rn.podspec @@ -26,7 +26,7 @@ Pod::Spec.new do |s| if ENV["RNLLAMA_BUILD_FROM_SOURCE"] == "1" s.source_files = "ios/**/*.{h,m,mm}", "cpp/**/*.{h,cpp,hpp,c,m,mm}" s.exclude_files = "cpp/ggml-opencl/*.{c,cpp}", "cpp/ggml-hexagon/**/*.{c,cpp}" - s.resources = "cpp/**/*.{metallib}" + s.resources = "cpp/ggml-metal/ggml-metal.metal" base_compiler_flags += " -DRNLLAMA_BUILD_FROM_SOURCE" else s.source_files = "ios/**/*.{h,m,mm}" diff --git a/scripts/bootstrap.sh b/scripts/bootstrap.sh index 9d1eb3a1..8239dcd5 100755 --- a/scripts/bootstrap.sh +++ b/scripts/bootstrap.sh @@ -113,7 +113,36 @@ cp ./$LLAMA_DIR/ggml/include/gguf.h ./cpp/gguf.h cp -r ./$LLAMA_DIR/ggml/src/ggml-metal ./cpp/ rm ./cpp/ggml-metal/CMakeLists.txt -rm ./cpp/ggml-metal/ggml-metal.metal +# Keep ggml-metal.metal for runtime compilation +# rm ./cpp/ggml-metal/ggml-metal.metal + +# Embed headers into ggml-metal.metal for runtime compilation +# This allows the .metal file to be compiled at runtime without needing external header files +echo "Embedding headers into ggml-metal.metal..." +METAL_SOURCE="./cpp/ggml-metal/ggml-metal.metal" +METAL_TMP="./cpp/ggml-metal/ggml-metal.metal.tmp1" +COMMON_HEADER="./$LLAMA_DIR/ggml/src/ggml-common.h" +IMPL_HEADER="./cpp/ggml-metal/ggml-metal-impl.h" + +# Step 1: Replace the entire conditional block with just the embedded header content +# Find the line with #if defined(GGML_METAL_EMBED_LIBRARY), replace __embed__ placeholder with header, +# and remove everything from #else to #endif (inclusive) +awk ' +/^#if defined\(GGML_METAL_EMBED_LIBRARY\)/ { skip=1; next } +/__embed_ggml-common.h__/ { + system("cat '"$COMMON_HEADER"'") + next +} +/^#else/ && skip { skip_else=1; next } +/^#endif/ && skip_else { skip=0; skip_else=0; next } +!skip { print } +' < "$METAL_SOURCE" > "$METAL_TMP" + +# Step 2: Embed ggml-metal-impl.h by replacing the #include with file contents +sed -e '/#include "ggml-metal-impl.h"/r '"$IMPL_HEADER" -e '/#include "ggml-metal-impl.h"/d' < "$METAL_TMP" > "$METAL_SOURCE" + +rm -f "$METAL_TMP" +echo "Headers embedded successfully" cp -r ./$LLAMA_DIR/ggml/src/ggml-blas ./cpp/ rm ./cpp/ggml-blas/CMakeLists.txt @@ -271,6 +300,7 @@ files_add_lm_prefix=( ./cpp/ggml-metal/*.cpp ./cpp/ggml-metal/*.h ./cpp/ggml-metal/*.m + ./cpp/ggml-metal/*.metal ./cpp/ggml-blas/*.cpp @@ -377,37 +407,14 @@ patch -p0 -d ./cpp < ./scripts/patches/ggml-quants.c.patch patch -p0 -d ./cpp < ./scripts/patches/llama-mmap.cpp.patch patch -p0 -d ./cpp/minja < ./scripts/patches/minja.hpp.patch patch -p0 -d ./cpp/minja < ./scripts/patches/chat-template.hpp.patch -patch -p0 -d ./cpp/ggml-metal < ./scripts/patches/ggml-metal-device.m.patch patch -p0 -d ./cpp/ggml-hexagon < ./scripts/patches/ggml-hexagon.cpp.patch rm -rf ./cpp/*.orig rm -rf ./cpp/**/*.orig if [ "$OS" = "Darwin" ]; then - # Build metallib (~2.6MB) - cd "$LLAMA_DIR/ggml/src/ggml-metal" - - # Create a symbolic link to ggml-common.h in the current directory - ln -sf ../ggml-common.h . - - xcrun --sdk iphoneos metal -O3 -std=metal3.2 -mios-version-min=16.0 -c ggml-metal.metal -o ggml-metal.air -DGGML_METAL_HAS_BF16=1 - xcrun --sdk iphoneos metallib ggml-metal.air -o ggml-llama.metallib - rm ggml-metal.air - mv ./ggml-llama.metallib "$CPP_DIR/ggml-metal/ggml-llama.metallib" - - xcrun --sdk iphonesimulator metal -O3 -std=metal3.2 -mios-version-min=16.0 -c ggml-metal.metal -o ggml-metal.air -DGGML_METAL_HAS_BF16=1 - xcrun --sdk iphonesimulator metallib ggml-metal.air -o ggml-llama.metallib - rm ggml-metal.air - mv ./ggml-llama.metallib "$CPP_DIR/ggml-metal/ggml-llama-sim.metallib" - - # Remove the symbolic link - rm ggml-common.h - - cd - - # Generate .xcode.env.local in iOS example cd example/ios echo export NODE_BINARY=$(command -v node) > .xcode.env.local - cd - fi diff --git a/scripts/build-ios.sh b/scripts/build-ios.sh index 31fdabec..6c932ea7 100755 --- a/scripts/build-ios.sh +++ b/scripts/build-ios.sh @@ -45,14 +45,8 @@ function build_framework() { mv Release-$3/rnllama.framework ../ios/rnllama.xcframework/$4/rnllama.framework mkdir -p ../ios/rnllama.xcframework/$4/rnllama.framework/Headers - # Copy headers and metallib cp_headers $4 - # TODO: May need to re-build metallib for tvOS - if [ "$4" == "ios-arm64_x86_64-simulator" ] || [ "$4" == "tvos-arm64_x86_64-simulator" ]; then - cp ../cpp/ggml-metal/ggml-llama-sim.metallib ../ios/rnllama.xcframework/$4/rnllama.framework/ggml-llama-sim.metallib - else - cp ../cpp/ggml-metal/ggml-llama.metallib ../ios/rnllama.xcframework/$4/rnllama.framework/ggml-llama.metallib - fi + cp ../cpp/ggml-metal/ggml-metal.metal ../ios/rnllama.xcframework/$4/rnllama.framework/ggml-metal.metal rm -rf ./* cd .. diff --git a/scripts/patches/ggml-metal-device.m.patch b/scripts/patches/ggml-metal-device.m.patch deleted file mode 100644 index c2729178..00000000 --- a/scripts/patches/ggml-metal-device.m.patch +++ /dev/null @@ -1,15 +0,0 @@ ---- ggml-metal-device.m.orig 2025-09-18 14:50:43 -+++ ggml-metal-device.m 2025-09-18 14:50:16 -@@ -171,7 +171,11 @@ - NSBundle * bundle = [NSBundle bundleForClass:[LMGGMLMetalClass class]]; - #endif - -- NSString * path_lib = [bundle pathForResource:@"default" ofType:@"metallib"]; -+#if TARGET_OS_SIMULATOR -+ NSString * path_lib = [bundle pathForResource:@"ggml-llama-sim" ofType:@"metallib"]; -+#else -+ NSString * path_lib = [bundle pathForResource:@"ggml-llama" ofType:@"metallib"]; -+#endif - if (path_lib == nil) { - // Try to find the resource in the directory where the current binary located. - NSString * bin_cur = [[NSProcessInfo processInfo] arguments][0];