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#include "common.cuh"
#include "ggml.h"
#include "solve_tri.cuh"
#define MAX_N_FAST 64
#define MAX_K_FAST 32
static __global__ void get_batch_pointers(const float * A,
float * X,
const float ** A_ptrs,
float ** X_ptrs,
int64_t ne02,
int64_t total_batches,
size_t s02,
size_t s03,
size_t s2,
size_t s3) {
const int idx = blockIdx.x * blockDim.x + threadIdx.x;
if (idx >= total_batches) {
return;
}
const int64_t i3 = idx / ne02;
const int64_t i2 = idx % ne02;
A_ptrs[idx] = A + i3 * s03 + i2 * s02;
X_ptrs[idx] = X + i3 * s3 + i2 * s2;
}
static void solve_tri_f32_cublas(ggml_backend_cuda_context & ctx,
const float * A,
const float * B,
float * X,
int n,
int k,
int64_t ne02,
int64_t ne03,
size_t s02,
size_t s03,
size_t s12,
size_t s13,
size_t s2,
size_t s3,
cudaStream_t stream) {
const float alpha = 1.0f;
const int64_t total_batches = ne02 * ne03;
if (total_batches == 0) {
return;
}
// Bulk copy B -> X (contiguous tensors)
if (X != B) {
const int64_t total_elements_BX = n * k * total_batches;
CUDA_CHECK(cudaMemcpyAsync(X, B, total_elements_BX * sizeof(float), cudaMemcpyDeviceToDevice, stream));
}
const int id = ggml_cuda_get_device();
ggml_cuda_pool_alloc<const float *> A_ptrs_alloc(ctx.pool(id), total_batches);
ggml_cuda_pool_alloc<float *> X_ptrs_alloc(ctx.pool(id), total_batches);
const float ** A_ptrs_dev = A_ptrs_alloc.get();
float ** X_ptrs_dev = X_ptrs_alloc.get();
get_batch_pointers<<<(total_batches + 255) / 256, 256, 0, stream>>>(A, X, A_ptrs_dev, X_ptrs_dev, ne02,
total_batches, s02, s03, s2, s3);
CUBLAS_CHECK(cublasSetStream(ctx.cublas_handle(id), stream));
// Yes, this is necessary, without this we get RMSE errors
CUBLAS_CHECK(cublasSetMathMode(ctx.cublas_handle(id), CUBLAS_DEFAULT_MATH));
CUBLAS_CHECK(cublasStrsmBatched(ctx.cublas_handle(id), CUBLAS_SIDE_RIGHT, CUBLAS_FILL_MODE_UPPER, CUBLAS_OP_N,
CUBLAS_DIAG_NON_UNIT, k, n, &alpha, A_ptrs_dev, n, X_ptrs_dev, k, total_batches));
// revert to standard mode from common.cuh
CUBLAS_CHECK(cublasSetMathMode(ctx.cublas_handle(id), CUBLAS_TF32_TENSOR_OP_MATH));
GGML_UNUSED_VARS(s12, s13);
}
// ======================
// Fast Kernel (n <= 64, k <= 32) - Warp-based parallel reduction
// ======================
// When ncols_template == 0 the bounds for the loops in this function are not
// known and can't be unrolled. As we want to keep pragma unroll for all other
// cases we supress the clang transformation warning here.
#ifdef __clang__
# pragma clang diagnostic push
# pragma clang diagnostic ignored "-Wpass-failed"
#endif // __clang__
template <int n_template, int k_template>
static __global__ void solve_tri_f32_fast(const float * __restrict__ A,
const float * __restrict__ B,
float * __restrict__ X,
const uint3 ne02,
const size_t nb02,
const size_t nb03,
const size_t nb12,
const size_t nb13,
const size_t nb2,
const size_t nb3,
const int n_arg,
const int k_arg) {
const int n = n_template == 0 ? n_arg : n_template;
const int k = k_template == 0 ? k_arg : k_template;
const int batch_idx = blockIdx.x;
const int lane = threadIdx.x;
const int col_idx = threadIdx.y;
if (col_idx >= k) {
return;
}
const uint2 i02_i03 = fast_div_modulo(batch_idx, ne02);
const int64_t i02 = i02_i03.y;
const int64_t i03 = i02_i03.x;
const float * const A_batch = (const float *) (A + i02 * nb02 + i03 * nb03);
const float * const B_batch = (const float *) (B + i02 * nb12 + i03 * nb13);
float * X_batch = (float *) (X + i02 * nb2 + i03 * nb3);
__shared__ float sA[MAX_N_FAST * MAX_N_FAST];
const int offset = threadIdx.x + threadIdx.y * blockDim.x;
#pragma unroll
for (int i = 0; i < n * n; i += k * WARP_SIZE) {
const int i0 = i + offset;
if (i0 < n * n) {
sA[i0] = A_batch[i0];
}
}
__syncthreads();
float x_low = (lane < n) ? B_batch[lane * k + col_idx] : 0.0f;
float x_high = (WARP_SIZE + lane < n) ? B_batch[(WARP_SIZE + lane) * k + col_idx] : 0.0f;
const int half = WARP_SIZE;
const int nrows_low = (n < half) ? n : half;
#pragma unroll
for (int row = 0; row < nrows_low; ++row) {
float sum = 0.0f;
if (lane < row) {
sum += sA[row * n + lane] * x_low;
}
sum = warp_reduce_sum(sum);
if (lane == row) {
x_low = (x_low - sum) / sA[row * n + row];
}
}
#pragma unroll
for (int row = half; row < n; ++row) {
float sum = sA[row * n + lane] * x_low;
const int j = half + lane;
if (j < row) {
sum += sA[row * n + j] * x_high;
}
sum = warp_reduce_sum(sum);
if (lane == row - half) {
x_high = (x_high - sum) / sA[row * n + row];
}
}
#pragma unroll
for (int rr = 0; rr < 2; ++rr) {
const int row = rr * WARP_SIZE + lane;
if (row < n) {
const float val = (row < half) ? x_low : x_high;
X_batch[row * k + col_idx] = val;
}
}
}
#ifdef __clang__
# pragma clang diagnostic pop
#endif // __clang__
static void solve_tri_f32_cuda(const float * A,
const float * B,
float * X,
int n,
int k,
int64_t ne02,
int64_t ne03,
size_t nb02,
size_t nb03,
size_t nb12,
size_t nb13,
size_t nb2,
size_t nb3,
cudaStream_t stream) {
const uint3 ne02_fd = init_fastdiv_values((uint32_t) ne02);
dim3 threads(WARP_SIZE, k);
dim3 grid(ne02 * ne03);
if (n == 64) {
switch (k) {
case 32:
solve_tri_f32_fast<64, 32>
<<<grid, threads, 0, stream>>>(A, B, X, ne02_fd, nb02, nb03, nb12, nb13, nb2, nb3, 0, 0);
break;
case 16:
solve_tri_f32_fast<64, 16>
<<<grid, threads, 0, stream>>>(A, B, X, ne02_fd, nb02, nb03, nb12, nb13, nb2, nb3, 0, 0);
break;
case 14:
solve_tri_f32_fast<64, 14>
<<<grid, threads, 0, stream>>>(A, B, X, ne02_fd, nb02, nb03, nb12, nb13, nb2, nb3, 0, 0);
break;
case 12:
solve_tri_f32_fast<64, 12>
<<<grid, threads, 0, stream>>>(A, B, X, ne02_fd, nb02, nb03, nb12, nb13, nb2, nb3, 0, 0);
break;
case 10:
solve_tri_f32_fast<64, 10>
<<<grid, threads, 0, stream>>>(A, B, X, ne02_fd, nb02, nb03, nb12, nb13, nb2, nb3, 0, 0);
break;
case 8:
solve_tri_f32_fast<64, 8>
<<<grid, threads, 0, stream>>>(A, B, X, ne02_fd, nb02, nb03, nb12, nb13, nb2, nb3, 0, 0);
break;
case 6:
solve_tri_f32_fast<64, 6>
<<<grid, threads, 0, stream>>>(A, B, X, ne02_fd, nb02, nb03, nb12, nb13, nb2, nb3, 0, 0);
break;
case 4:
solve_tri_f32_fast<64, 4>
<<<grid, threads, 0, stream>>>(A, B, X, ne02_fd, nb02, nb03, nb12, nb13, nb2, nb3, 0, 0);
break;
case 2:
solve_tri_f32_fast<64, 2>
<<<grid, threads, 0, stream>>>(A, B, X, ne02_fd, nb02, nb03, nb12, nb13, nb2, nb3, 0, 0);
break;
case 1:
solve_tri_f32_fast<64, 1>
<<<grid, threads, 0, stream>>>(A, B, X, ne02_fd, nb02, nb03, nb12, nb13, nb2, nb3, 0, 0);
break;
default:
solve_tri_f32_fast<0, 0>
<<<grid, threads, 0, stream>>>(A, B, X, ne02_fd, nb02, nb03, nb12, nb13, nb2, nb3, n, k);
}
} else { // run general case
solve_tri_f32_fast<0, 0>
<<<grid, threads, 0, stream>>>(A, B, X, ne02_fd, nb02, nb03, nb12, nb13, nb2, nb3, n, k);
}
}
void ggml_cuda_op_solve_tri(ggml_backend_cuda_context & ctx, ggml_tensor * dst) {
const ggml_tensor * src0 = dst->src[0]; // A (n×n, lower triangular)
const ggml_tensor * src1 = dst->src[1]; // B (n×k)
ggml_is_contiguous(src0);
ggml_is_contiguous(src1);
const int64_t n = src0->ne[0];
const int64_t k = src1->ne[0];
const int64_t ne02 = src0->ne[2];
const int64_t ne03 = src0->ne[3];
if (n <= MAX_N_FAST && k <= MAX_K_FAST) {
solve_tri_f32_cuda((const float *) src0->data, (const float *) src1->data, (float *) dst->data, n, k,
src0->ne[2], src0->ne[3], src0->nb[2] / sizeof(float), src0->nb[3] / sizeof(float),
src1->nb[2] / sizeof(float), src1->nb[3] / sizeof(float), dst->nb[2] / sizeof(float),
dst->nb[3] / sizeof(float), ctx.stream());
} else {
solve_tri_f32_cublas(ctx, (const float *) src0->data, (const float *) src1->data, (float *) dst->data, n, k,
ne02, ne03, src0->nb[2] / sizeof(float), src0->nb[3] / sizeof(float),
src1->nb[2] / sizeof(float), src1->nb[3] / sizeof(float), dst->nb[2] / sizeof(float),
dst->nb[3] / sizeof(float), ctx.stream());
}
}
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