ColossalAI/colossalai/kernel/cuda_native/csrc/gptq/matrix.cuh

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// Adapted from turboderp exllama: https://github.com/turboderp/exllama
#ifndef _matrix_cuh
#define _matrix_cuh
#include <cuda_runtime.h>
#include <cuda_fp16.h>
class MatrixView_half
{
public:
const half* data;
const int height;
const int width;
__device__ __forceinline__ MatrixView_half(const half* data, const int height, const int width)
: data(data), height(height), width(width)
{ }
__device__ __forceinline__ half item(int row, int column) const { return data[row * width + column]; }
__device__ __forceinline__ half2 item_half2(int row, int column) const { return ((half2*)data)[(row * width + column) / 2]; }
__device__ __forceinline__ half2 item_half2half2(int row, int column) const { return __half2half2(data[row * width + column]); }
__device__ __forceinline__ const half* item_ptr(int row, int column) const { return &data[row * width + column]; }
};
class MatrixView_half_rw
{
public:
half* data;
const int height;
const int width;
__device__ __forceinline__ MatrixView_half_rw(half* data, const int height, const int width)
: data(data), height(height), width(width)
{ }
__device__ __forceinline__ half item(int row, int column) const { return data[row * width + column]; }
__device__ __forceinline__ half2 item_half2(int row, int column) const { return ((half2*)data)[(row * width + column) / 2]; }
__device__ __forceinline__ half* item_ptr(int row, int column) { return &data[row * width + column]; }
__device__ __forceinline__ void set(int row, int column, half value) { data[row * width + column] = value; }
__device__ __forceinline__ void set_half2(int row, int column, half2 value) { ((half2*)data)[(row * width + column) / 2] = value; }
};
class MatrixView_q4_row
{
public:
const uint32_t* data;
const int height;
const int width;
__device__ __forceinline__ MatrixView_q4_row(const uint32_t* data, const int height, const int width)
: data(data), height(height), width(width)
{ }
__device__ __forceinline__ int item(int row, int column) const
{
int shift = (column & 0x07) * 4;
return (data[row * width / 8 + column / 8] >> shift) & 0x0f;
}
};
class MatrixView_q4_column
{
public:
const uint32_t* data;
const int height;
const int width;
__device__ __forceinline__ MatrixView_q4_column(const uint32_t* data, const int height, const int width)
: data(data), height(height), width(width)
{ }
__device__ __forceinline__ int item(int row, int column) const
{
int shift = (row & 0x07) * 4;
return (data[row / 8 * width + column] >> shift) & 0x0f;
}
__device__ __forceinline__ uint32_t item_uint32_t(int row, int column) { return data[row / 8 * width + column]; }
__device__ __forceinline__ const uint32_t* item_uint32_ptr(int row, int column) { return &data[row / 8 * width + column]; }
};
// TODO: Rewrite all these dot product functions using functors or something, move to q4_matmul.cu
// Accumulated dot product of 8-element row vectors in h and quantized column vectors in v, constant zero/scale
__device__ __forceinline__ half2 dot_product_8
(
const half2 acc,
MatrixView_half& h_,
const int h_row,
const int h_column, // divisible by 8
MatrixView_q4_column& v_,
const int v_row, // divisible by 8
const int v_column,
const half2 v_scale_2,
const uint32_t v_zero, // + 1 (!!)
const int count
)
{
const half2* h_ptr = (const half2*) h_.item_ptr(h_row, h_column);
const uint32_t* v_ptr = (const uint32_t*) v_.item_uint32_ptr(v_row, v_column);
half2 result = acc;
for (int i = 0; i < count; i++)
{
uint32_t v_read = *v_ptr; v_ptr += v_.width;
half v_0 = __int2half_rn((int)((v_read ) & 0x0f) - v_zero);
half v_1 = __int2half_rn((int)((v_read >> 4) & 0x0f) - v_zero);
half v_2 = __int2half_rn((int)((v_read >> 8) & 0x0f) - v_zero);
half v_3 = __int2half_rn((int)((v_read >> 12) & 0x0f) - v_zero);
half v_4 = __int2half_rn((int)((v_read >> 16) & 0x0f) - v_zero);
half v_5 = __int2half_rn((int)((v_read >> 20) & 0x0f) - v_zero);
half v_6 = __int2half_rn((int)((v_read >> 24) & 0x0f) - v_zero);
half v_7 = __int2half_rn((int)((v_read >> 28) ) - v_zero);
half2 v_01 = __halves2half2(v_0, v_1);
half2 v_23 = __halves2half2(v_2, v_3);
half2 v_45 = __halves2half2(v_4, v_5);
half2 v_67 = __halves2half2(v_6, v_7);
// half2 v_01 = q4_table[v_zero - 1][(v_read ) & 0xff]; // (constant memory is too slow apparently)
// half2 v_23 = q4_table[v_zero - 1][(v_read >> 8) & 0xff];
// half2 v_45 = q4_table[v_zero - 1][(v_read >> 16) & 0xff];
// half2 v_67 = q4_table[v_zero - 1][(v_read >> 24) ];
half2 tmp = __hmul2(*h_ptr++, v_01);
tmp = __hfma2(*h_ptr++, v_23, tmp);
tmp = __hfma2(*h_ptr++, v_45, tmp);
tmp = __hfma2(*h_ptr++, v_67, tmp);
result = __hfma2(v_scale_2, tmp, result);
}
return result;
}
__device__ __forceinline__ half dot_product_8_h
(
const half acc,
MatrixView_half& h_,
const int h_row,
const int h_column, // divisible by 8
MatrixView_q4_column& v_,
const int v_row, // divisible by 8
const int v_column,
const half v_scale,
const uint32_t v_zero, // + 1 (!!)
const int count
)
{
const half* h_ptr = h_.item_ptr(h_row, h_column);
const uint32_t* v_ptr = (const uint32_t*) v_.item_uint32_ptr(v_row, v_column);
half result = acc;
for (int i = 0; i < count; i++)
{
uint32_t v_read = *v_ptr; v_ptr += v_.width;
half v_0 = __int2half_rn((int)((v_read ) & 0x0f) - v_zero);
half v_1 = __int2half_rn((int)((v_read >> 4) & 0x0f) - v_zero);
half v_2 = __int2half_rn((int)((v_read >> 8) & 0x0f) - v_zero);
half v_3 = __int2half_rn((int)((v_read >> 12) & 0x0f) - v_zero);
half v_4 = __int2half_rn((int)((v_read >> 16) & 0x0f) - v_zero);
half v_5 = __int2half_rn((int)((v_read >> 20) & 0x0f) - v_zero);
half v_6 = __int2half_rn((int)((v_read >> 24) & 0x0f) - v_zero);
half v_7 = __int2half_rn((int)((v_read >> 28) ) - v_zero);
half tmp = __hmul(*h_ptr++, v_0);
tmp = __hfma(*h_ptr++, v_1, tmp);
tmp = __hfma(*h_ptr++, v_2, tmp);
tmp = __hfma(*h_ptr++, v_3, tmp);
tmp = __hfma(*h_ptr++, v_4, tmp);
tmp = __hfma(*h_ptr++, v_5, tmp);
tmp = __hfma(*h_ptr++, v_6, tmp);
tmp = __hfma(*h_ptr++, v_7, tmp);
result = __hfma(v_scale, tmp, result);
}
return result;
}
// Accumulated dot product of 8-element row vectors in h and quantized column vectors in v, constant zero/scale, with x_map
__device__ __forceinline__ half2 dot_product_8_x_map
(
const half2 acc,
MatrixView_half& h_,
const int h_row,
const int h_column, // divisible by 8
MatrixView_q4_column& v_,
const int v_row, // divisible by 8
const int v_column,
const half2 v_scale_2,
const uint32_t v_zero, // + 1 (!!)
const int count,
const uint32_t* x_map
)
{
const half* h_ptr = h_.item_ptr(h_row, 0);
const uint32_t* x_map_ptr = x_map + h_column;
const uint32_t* v_ptr = (const uint32_t*) v_.item_uint32_ptr(v_row, v_column);
half2 result = acc;
for (int i = 0; i < count; i++)
{
uint32_t v_read = *v_ptr; v_ptr += v_.width;
half v_0 = __int2half_rn((int)((v_read ) & 0x0f) - v_zero);
half v_1 = __int2half_rn((int)((v_read >> 4) & 0x0f) - v_zero);
half v_2 = __int2half_rn((int)((v_read >> 8) & 0x0f) - v_zero);
half v_3 = __int2half_rn((int)((v_read >> 12) & 0x0f) - v_zero);
half v_4 = __int2half_rn((int)((v_read >> 16) & 0x0f) - v_zero);
half v_5 = __int2half_rn((int)((v_read >> 20) & 0x0f) - v_zero);
half v_6 = __int2half_rn((int)((v_read >> 24) & 0x0f) - v_zero);
half v_7 = __int2half_rn((int)((v_read >> 28) ) - v_zero);
half2 v_01 = __halves2half2(v_0, v_1);
half2 v_23 = __halves2half2(v_2, v_3);
half2 v_45 = __halves2half2(v_4, v_5);
half2 v_67 = __halves2half2(v_6, v_7);
half h_0 = h_ptr[*x_map_ptr++];
half h_1 = h_ptr[*x_map_ptr++];
half h_2 = h_ptr[*x_map_ptr++];
half h_3 = h_ptr[*x_map_ptr++];
half h_4 = h_ptr[*x_map_ptr++];
half h_5 = h_ptr[*x_map_ptr++];
half h_6 = h_ptr[*x_map_ptr++];
half h_7 = h_ptr[*x_map_ptr++];
half2 h_01 = __halves2half2(h_0, h_1);
half2 h_23 = __halves2half2(h_2, h_3);
half2 h_45 = __halves2half2(h_4, h_5);
half2 h_67 = __halves2half2(h_6, h_7);
half2 tmp = __hmul2(h_01, v_01);
tmp = __hfma2(h_23, v_23, tmp);
tmp = __hfma2(h_45, v_45, tmp);
tmp = __hfma2(h_67, v_67, tmp);
result = __hfma2(v_scale_2, tmp, result);
}
return result;
}
__device__ __forceinline__ half dot_product_8_x_map_h
(
const half acc,
MatrixView_half& h_,
const int h_row,
const int h_column, // divisible by 8
MatrixView_q4_column& v_,
const int v_row, // divisible by 8
const int v_column,
const half v_scale,
const uint32_t v_zero, // + 1 (!!)
const int count,
const uint32_t* x_map
)
{
const half* h_ptr = h_.item_ptr(h_row, 0);
const uint32_t* x_map_ptr = x_map + h_column;
const uint32_t* v_ptr = (const uint32_t*) v_.item_uint32_ptr(v_row, v_column);
half result = acc;
for (int i = 0; i < count; i++)
{
uint32_t v_read = *v_ptr; v_ptr += v_.width;
half v_0 = __int2half_rn((int)((v_read ) & 0x0f) - v_zero);
half v_1 = __int2half_rn((int)((v_read >> 4) & 0x0f) - v_zero);
half v_2 = __int2half_rn((int)((v_read >> 8) & 0x0f) - v_zero);
half v_3 = __int2half_rn((int)((v_read >> 12) & 0x0f) - v_zero);
half v_4 = __int2half_rn((int)((v_read >> 16) & 0x0f) - v_zero);
half v_5 = __int2half_rn((int)((v_read >> 20) & 0x0f) - v_zero);
half v_6 = __int2half_rn((int)((v_read >> 24) & 0x0f) - v_zero);
half v_7 = __int2half_rn((int)((v_read >> 28) ) - v_zero);
half tmp = __hmul(h_ptr[*x_map_ptr++], v_0);
tmp = __hfma(h_ptr[*x_map_ptr++], v_1, tmp);
tmp = __hfma(h_ptr[*x_map_ptr++], v_2, tmp);
tmp = __hfma(h_ptr[*x_map_ptr++], v_3, tmp);
tmp = __hfma(h_ptr[*x_map_ptr++], v_4, tmp);
tmp = __hfma(h_ptr[*x_map_ptr++], v_5, tmp);
tmp = __hfma(h_ptr[*x_map_ptr++], v_6, tmp);
tmp = __hfma(h_ptr[*x_map_ptr++], v_7, tmp);
result = __hfma(v_scale, tmp, result);
}
return result;
}
#endif