#include "common.h"
kernel void kernel_argmax_f32(
constant 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;
}
kernel void kernel_diag_f32(
constant ggml_metal_kargs_diag & args,
device const char * src0,
device char * dst,
uint3 tgpig[[threadgroup_position_in_grid]],
ushort tiitg[[thread_index_in_threadgroup]]) {
constexpr short NW = N_SIMDWIDTH;
const int32_t i3 = tgpig.z;
const int32_t i2 = tgpig.y;
const int32_t i1 = tgpig.x;
device const float * src0_ptr = (device const float *)(src0 + i2*args.nb02 + i3*args.nb03);
device float * dst_ptr = (device float *)(dst + i1*args.nb01 + i2*args.nb2 + i3*args.nb3);
for (int i0 = tiitg; i0 < args.ne0; i0 += NW) {
dst_ptr[i0] = i0 == i1 ? src0_ptr[i0] : 0.0f;
}
}
kernel void kernel_roll_f32(
constant ggml_metal_kargs_roll & 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;
device const float * src0_ptr = (device const float *) src0;
device float * dst_ptr = (device float *) dst;
for (int i0 = tpitg.x; i0 < args.ne0; i0 += ntg.x) {
// apply shifts and wrap around
int64_t i00 = i0 - args.s0;
int64_t i01 = i1 - args.s1;
int64_t i02 = i2 - args.s2;
int64_t i03 = i3 - args.s3;
if (i00 < 0) { i00 += args.ne00; } else if (i00 >= args.ne00) { i00 -= args.ne00; }
if (i01 < 0) { i01 += args.ne01; } else if (i01 >= args.ne01) { i01 -= args.ne01; }
if (i02 < 0) { i02 += args.ne02; } else if (i02 >= args.ne02) { i02 -= args.ne02; }
if (i03 < 0) { i03 += args.ne03; } else if (i03 >= args.ne03) { i03 -= args.ne03; }
int64_t src_idx = i03*args.ne02*args.ne01*args.ne00 + i02*args.ne01*args.ne00 + i01*args.ne00 + i00;
int64_t dst_idx = i3 *args.ne2 *args.ne1 *args.ne0 + i2 *args.ne1 *args.ne0 + i1 *args.ne0 + i0;
dst_ptr[dst_idx] = src0_ptr[src_idx];
}
}
template <typename T>
kernel void kernel_pad_impl(
constant 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 int32_t i3 = tgpig.z;
const int32_t i2 = tgpig.y;
const int32_t k0 = tgpig.x/args.ne1;
const int32_t i1 = tgpig.x - k0*args.ne1;
const int32_t i03 = i3;
const int32_t i02 = i2;
const int32_t i01 = i1;
device const T * src0_ptr = (device const T *) (src0 + i03*args.nb03 + i02*args.nb02 + i01*args.nb01);
device T * dst_ptr = (device T *) (dst + i3*args.nb3 + i2*args.nb2 + i1*args.nb1);
for (int32_t l0 = 0; l0 < 1024; l0 += ntg.x) {
const int32_t i0 = k0*1024 + tpitg.x + l0;
if (i0 >= args.ne0) {
break;
}
if (i0 < args.ne00 && i1 < args.ne01 && i2 < args.ne02 && i3 < args.ne03) {
dst_ptr[i0] = src0_ptr[i0];
} else {
dst_ptr[i0] = 0.0f;
}
}
}
typedef decltype(kernel_pad_impl<float>) kernel_pad_t;
template [[host_name("kernel_pad_f32")]] kernel kernel_pad_t kernel_pad_impl<float>;
template [[host_name("kernel_pad_f32_4")]] kernel kernel_pad_t kernel_pad_impl<float4>;
// TODO: this is slow - optimize
kernel void kernel_pad_reflect_1d_f32(
constant 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 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 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;
}
}
kernel void kernel_opt_step_adamw_f32(
constant 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 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];
}
template<typename T>
kernel void kernel_memset(
constant ggml_metal_kargs_memset & args,
device T * dst,
uint tpig[[thread_position_in_grid]]) {
dst[tpig] = args.val;
}
typedef decltype(kernel_memset<int64_t>) kernel_memset_t;
template [[host_name("kernel_memset_i64")]] kernel kernel_memset_t kernel_memset<int64_t>;
constant short FC_count_equal_nsg [[function_constant(FC_COUNT_EQUAL + 0)]];
template<typename T>
kernel void kernel_count_equal(
constant ggml_metal_kargs_count_equal & args,
device const char * src0,
device const char * src1,
device atomic_int * dst,
threadgroup int32_t * shmem_i32 [[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 short NSG = FC_count_equal_nsg;
const int i3 = tgpig.z;
const int i2 = tgpig.y;
const int i1 = tgpig.x;
if (i3 >= args.ne03 || i2 >= args.ne02 || i1 >= args.ne01) {
return;
}
int sum = 0;
device const char * base0 = src0 + i1*args.nb01 + i2*args.nb02 + i3*args.nb03;
device const char * base1 = src1 + i1*args.nb11 + i2*args.nb12 + i3*args.nb13;
for (int64_t i0 = tpitg.x; i0 < args.ne00; i0 += ntg.x) {
const T v0 = *(device const T *)(base0 + i0*args.nb00);
const T v1 = *(device const T *)(base1 + i0*args.nb10);
sum += (v0 == v1);
}
sum = simd_sum(sum);
if (tiisg == 0) {
shmem_i32[sgitg] = sum;
}
threadgroup_barrier(mem_flags::mem_threadgroup);
if (sgitg == 0) {
float v = 0.0f;
if (tpitg.x < NSG) {
v = shmem_i32[tpitg.x];
}
float total = simd_sum(v);
if (tpitg.x == 0) {
atomic_fetch_add_explicit(dst, (int32_t) total, memory_order_relaxed);
}
}
}
typedef decltype(kernel_count_equal<int32_t>) kernel_count_equal_t;
template [[host_name("kernel_count_equal_i32")]] kernel kernel_count_equal_t kernel_count_equal<int32_t>;
template <typename T>
kernel void kernel_snake(
constant ggml_metal_kargs_snake & args,
device const T * x,
device const float * a,
device const float * inv_b,
device T * dst,
uint tgpig [[threadgroup_position_in_grid]],
uint tpitg [[thread_position_in_threadgroup]],
uint ntg [[threads_per_threadgroup]]) {
const int idx = tgpig * ntg + tpitg;
if (idx >= args.T * args.C) {
return;
}
const int c = idx / args.T; // x is [T, C], a / inv_b collapse to [1, C]
const float xi = float(x[idx]);
const float si = sin(a[c] * xi);
dst[idx] = T(xi + si * si * inv_b[c]);
}
template [[host_name("kernel_snake_f32")]] kernel void kernel_snake<float>(constant ggml_metal_kargs_snake &, device const float *, device const float *, device const float *, device float *, uint, uint, uint);
template [[host_name("kernel_snake_f16")]] kernel void kernel_snake<half>(constant ggml_metal_kargs_snake &, device const half *, device const float *, device const float *, device half *, uint, uint, uint);
#if defined(GGML_METAL_HAS_BF16)
template [[host_name("kernel_snake_bf16")]] kernel void kernel_snake<bfloat>(constant ggml_metal_kargs_snake &, device const bfloat *, device const float *, device const float *, device bfloat *, uint, uint, uint);
#endif
template<int N>
kernel void kernel_fwht_f32(
constant ggml_metal_kargs_fwht & args,
device const float * src,
device float * dst,
uint3 tgpig[[threadgroup_position_in_grid]],
ushort sgitg[[simdgroup_index_in_threadgroup]],
ushort tiisg[[thread_index_in_simdgroup]],
ushort3 ntg[[threads_per_threadgroup]]) {
constexpr int NW = N_SIMDWIDTH;
constexpr int NE = N / NW;
const float scale = 1.0f / sqrt((float) N);
const int sg_per_tg = ntg.x / NW;
const int64_t r = tgpig.x * sg_per_tg + sgitg;
if (r >= args.nrows) {
return;
}
src += r * N;
dst += r * N;
const int lane = tiisg;
float reg[NE];
for (int i = 0; i < NE; i++) {
reg[i] = src[i*NW + lane]*scale;
}
for (int i = 1; i < NW; i *= 2) {
for (int j = 0; j < NE; j++) {
const float val = reg[j];
const float val2 = simd_shuffle_xor(val, i);
reg[j] = (lane & i) == 0 ? val2 + val : val2 - val;
}
}
for (int i = NW; i < N; i *= 2) {
const int step = i / NW;
for (int j = 0; j < NE; j += (2 * step)) {
for (int k = 0; k < step; k++) {
const float x = reg[j + k ];
const float y = reg[j + k + step];
reg[j + k] = x + y;
reg[j + k + step] = x - y;
}
}
}
for (int i = 0; i < NE; i++) {
dst[i*NW + lane] = reg[i];
}
}
typedef decltype(kernel_fwht_f32<64>) kernel_fwht_t;
template [[host_name("kernel_fwht_f32_64")]] kernel kernel_fwht_t kernel_fwht_f32<64>;
template [[host_name("kernel_fwht_f32_128")]] kernel kernel_fwht_t kernel_fwht_f32<128>;
template [[host_name("kernel_fwht_f32_256")]] kernel kernel_fwht_t kernel_fwht_f32<256>;
template [[host_name("kernel_fwht_f32_512")]] kernel kernel_fwht_t kernel_fwht_f32<512>;
kernel void kernel_dsv4_hc_comb_f32(
constant ggml_metal_kargs_dsv4_hc_comb & args,
device const char * mixes,
device const char * scale,
device const char * base,
device char * dst,
uint3 tgpig[[threadgroup_position_in_grid]],
ushort tiisg[[thread_index_in_simdgroup]],
ushort sgitg[[simdgroup_index_in_threadgroup]],
ushort3 ntg[[threads_per_threadgroup]]) {
constexpr ushort hc = 4;
constexpr ushort comb_offset = 2*hc;
const int it = tgpig.x*ntg.y + sgitg;
if (it >= args.n_tokens) {
return;
}
float scale_lane = 0.0f;
if (tiisg == 0) {
scale_lane = *(device const float *) (scale + 2*args.nb_s0);
}
const float scale_comb = simd_shuffle(scale_lane, 0);
float v = 0.0f;
if (tiisg < hc*hc) {
v = *(device const float *) (mixes + (comb_offset + tiisg)*args.nb_m0 + it*args.nb_m1)*scale_comb
+ *(device const float *) (base + (comb_offset + tiisg)*args.nb_b0);
}
// Softmax across destinations (the four contiguous lanes for each source).
float vmax = max(v, simd_shuffle_xor(v, 1));
vmax = max(vmax, simd_shuffle_xor(vmax, 2));
v = exp(v - vmax);
float sum = v + simd_shuffle_xor(v, 1);
sum += simd_shuffle_xor(sum, 2);
v = v/sum + args.eps;
// Normalize columns: equal destination indices are four lanes apart.
sum = v + simd_shuffle_xor(v, 4);
sum += simd_shuffle_xor(sum, 8);
v /= sum + args.eps;
for (int i = 1; i < args.n_iter; ++i) {
sum = v + simd_shuffle_xor(v, 1);
sum += simd_shuffle_xor(sum, 2);
v /= sum + args.eps;
sum = v + simd_shuffle_xor(v, 4);
sum += simd_shuffle_xor(sum, 8);
v /= sum + args.eps;
}
if (tiisg < hc*hc) {
const ushort idst = tiisg & 3;
const ushort isrc = tiisg >> 2;
*(device float *) (dst + idst*args.nb_d0 + isrc*args.nb_d1 + it*args.nb_d2) = v;
}
}
kernel void kernel_dsv4_hc_pre_f32(
constant ggml_metal_kargs_dsv4_hc_pre & args,
device const char * x,
device const char * weights,
device char * dst,
uint3 tgpig[[threadgroup_position_in_grid]],
ushort tiisg[[thread_index_in_simdgroup]],
ushort sgitg[[simdgroup_index_in_threadgroup]],
ushort3 ntg[[threads_per_threadgroup]]) {
constexpr ushort hc = 4;
const int it = tgpig.y;
const int i0 = ((int) tgpig.x*ntg.y + sgitg)*32 + tiisg;
float weight_lane = 0.0f;
if (tiisg < hc) {
weight_lane = *(device const float *) (weights + tiisg*args.nb_w0 + it*args.nb_w1);
}
float w[hc];
FOR_UNROLL (ushort ih = 0; ih < hc; ++ih) {
w[ih] = simd_shuffle(weight_lane, ih);
}
if (i0 >= args.n_embd) {
return;
}
device const char * xb = x + i0*args.nb_x0 + it*args.nb_x2;
float result = 0.0f;
FOR_UNROLL (ushort ih = 0; ih < hc; ++ih) {
result = fma(*(device const float *) (xb + ih*args.nb_x1), w[ih], result);
}
*(device float *) (dst + i0*args.nb_d0 + it*args.nb_d1) = result;
}
kernel void kernel_dsv4_hc_post_f32(
constant ggml_metal_kargs_dsv4_hc_post & args,
device const char * x,
device const char * residual,
device const char * post,
device const char * comb,
device char * dst,
uint3 tgpig[[threadgroup_position_in_grid]],
ushort tiisg[[thread_index_in_simdgroup]],
ushort sgitg[[simdgroup_index_in_threadgroup]],
ushort3 ntg[[threads_per_threadgroup]]) {
constexpr ushort hc = 4;
const int it = tgpig.y;
const int i0 = ((int) tgpig.x*ntg.y + sgitg)*32 + tiisg;
float coeff_lane = 0.0f;
if (tiisg < hc) {
coeff_lane = *(device const float *) (post + tiisg*args.nb_p0 + it*args.nb_p1);
} else if (tiisg < hc + hc*hc) {
const ushort idx = tiisg - hc;
const ushort idst = idx & 3;
const ushort isrc = idx >> 2;
coeff_lane = *(device const float *) (comb + idst*args.nb_c0 + isrc*args.nb_c1 + it*args.nb_c2);
}
float post_reg[hc];
float comb_reg[hc][hc];
FOR_UNROLL (ushort idst = 0; idst < hc; ++idst) {
post_reg[idst] = simd_shuffle(coeff_lane, idst);
}
FOR_UNROLL (ushort isrc = 0; isrc < hc; ++isrc) {
FOR_UNROLL (ushort idst = 0; idst < hc; ++idst) {
comb_reg[isrc][idst] = simd_shuffle(coeff_lane, hc + idst + hc*isrc);
}
}
if (i0 >= args.n_embd) {
return;
}
const float xv = *(device const float *) (x + i0*args.nb_x0 + it*args.nb_x1);
float result[hc];
FOR_UNROLL (ushort idst = 0; idst < hc; ++idst) {
result[idst] = xv*post_reg[idst];
}
device const char * rb = residual + i0*args.nb_r0 + it*args.nb_r2;
FOR_UNROLL (ushort isrc = 0; isrc < hc; ++isrc) {
const float rv = *(device const float *) (rb + isrc*args.nb_r1);
FOR_UNROLL (ushort idst = 0; idst < hc; ++idst) {
result[idst] = fma(rv, comb_reg[isrc][idst], result[idst]);
}
}
FOR_UNROLL (ushort idst = 0; idst < hc; ++idst) {
*(device float *) (dst + i0*args.nb_d0 + idst*args.nb_d1 + it*args.nb_d2) = result[idst];
}
}