1#version 450
  2
  3#extension GL_EXT_shader_explicit_arithmetic_types_int32 : require
  4
  5#include "mul_mat_vec_base.glsl"
  6
  7layout(local_size_x_id = 0, local_size_y = 1, local_size_z = 1) in;
  8
  9FLOAT_TYPE temp[NUM_COLS][NUM_ROWS];
 10
 11void calc_superblock(const uint a_offset, const uint b_offset, const uint v_im, const uint l0, const uint q_offset, const uint y_offset, const uint i, const uint num_blocks_per_row, const uint first_row, const uint num_rows) {
 12    const uint y1_idx = i * QUANT_K + y_offset;
 13    const uint y2_idx = y1_idx + 128;
 14
 15    [[unroll]] for (uint n = 0; n < num_rows; ++n) {
 16        const uint ib0 = a_offset + (first_row+n)*num_blocks_per_row;
 17        const FLOAT_TYPE_VEC2 dm = FLOAT_TYPE_VEC2(data_a[ib0 + i].dm);
 18
 19        const uint32_t scale0_u32 = data_a_packed16[ib0 + i].scales[v_im    ];
 20        const uint32_t scale4_u32 = data_a_packed16[ib0 + i].scales[v_im + 2];
 21        const uint32_t scale8_u32 = data_a_packed16[ib0 + i].scales[v_im + 4];
 22
 23        const uint32_t scale_0_4_l = (scale4_u32 << 16) | scale0_u32;
 24        const uint32_t scale_0_4_h = (scale_0_4_l & 0xC0C0C0C0) >> 2;
 25        const vec4 scale_0_4_l_f = vec4(unpack8(scale_0_4_l & 0x3F3F3F3F));
 26        const vec4 scale8_f = vec4(unpack8((((scale8_u32 << 12) | scale8_u32) & 0x0F0F0F0F) | scale_0_4_h));
 27
 28        const FLOAT_TYPE sc0 = scale_0_4_l_f.x;
 29        const FLOAT_TYPE sc1 = scale_0_4_l_f.y;
 30        const FLOAT_TYPE sc2 = scale_0_4_l_f.z;
 31        const FLOAT_TYPE sc3 = scale_0_4_l_f.w;
 32        const FLOAT_TYPE sc4 = scale8_f.x;
 33        const FLOAT_TYPE sc5 = scale8_f.y;
 34        const FLOAT_TYPE sc6 = scale8_f.z;
 35        const FLOAT_TYPE sc7 = scale8_f.w;
 36
 37        const uint32_t qs0_16_u32 = uint32_t(data_a_packed16[ib0 + i].qs[q_offset / 2]) | (uint32_t(data_a_packed16[ib0 + i].qs[q_offset / 2 + 8]) << 16);
 38        const uint32_t qs64_80_u32 = uint32_t(data_a_packed16[ib0 + i].qs[q_offset / 2 + 32]) | (uint32_t(data_a_packed16[ib0 + i].qs[q_offset / 2 + 40]) << 16);
 39
 40        uint32_t qs0_16_u32_lo4 = qs0_16_u32 & 0x0F0F0F0F;
 41        uint32_t qs0_16_u32_hi4 = (qs0_16_u32 >> 4) & 0x0F0F0F0F;
 42        uint32_t qs64_80_u32_lo4 = qs64_80_u32 & 0x0F0F0F0F;
 43        uint32_t qs64_80_u32_hi4 = (qs64_80_u32 >> 4) & 0x0F0F0F0F;
 44
 45        const uint32_t qh = pack32(u16vec2(data_a_packed16[ib0 + i].qh[l0 / 2], data_a_packed16[ib0 + i].qh[l0 / 2 + 8]));
 46
 47        const uint32_t qs0_16_lo4_offset16 = ((qh >> (2*v_im)) & 0x01010101) << 4;
 48        const uint32_t qs0_16_hi4_offset16 = ((qh >> (2*v_im)) & 0x02020202) << 3;
 49        const uint32_t qs64_80_lo4_offset16 = ((qh >> (2*v_im)) & 0x10101010);
 50        const uint32_t qs64_80_hi4_offset16 = ((qh >> (2*v_im)) & 0x20202020) >> 1;
 51
 52        qs0_16_u32_lo4 += qs0_16_lo4_offset16;
 53        qs0_16_u32_hi4 += qs0_16_hi4_offset16;
 54        qs64_80_u32_lo4 += qs64_80_lo4_offset16;
 55        qs64_80_u32_hi4 += qs64_80_hi4_offset16;
 56
 57        const vec4 qs0_16_lo4 = vec4(unpack8(qs0_16_u32_lo4));
 58        const vec4 qs64_80_lo4 = vec4(unpack8(qs64_80_u32_lo4));
 59        const vec4 qs0_16_hi4 = vec4(unpack8(qs0_16_u32_hi4));
 60        const vec4 qs64_80_hi4 = vec4(unpack8(qs64_80_u32_hi4));
 61
 62        const FLOAT_TYPE q4_0  = qs0_16_lo4.x;
 63        const FLOAT_TYPE q4_1  = qs0_16_lo4.y;
 64        const FLOAT_TYPE q4_2  = qs0_16_lo4.z;
 65        const FLOAT_TYPE q4_3  = qs0_16_lo4.w;
 66        const FLOAT_TYPE q4_4  = qs0_16_hi4.x;
 67        const FLOAT_TYPE q4_5  = qs0_16_hi4.y;
 68        const FLOAT_TYPE q4_6  = qs0_16_hi4.z;
 69        const FLOAT_TYPE q4_7  = qs0_16_hi4.w;
 70        const FLOAT_TYPE q4_8  = qs64_80_lo4.x;
 71        const FLOAT_TYPE q4_9  = qs64_80_lo4.y;
 72        const FLOAT_TYPE q4_10 = qs64_80_lo4.z;
 73        const FLOAT_TYPE q4_11 = qs64_80_lo4.w;
 74        const FLOAT_TYPE q4_12 = qs64_80_hi4.x;
 75        const FLOAT_TYPE q4_13 = qs64_80_hi4.y;
 76        const FLOAT_TYPE q4_14 = qs64_80_hi4.z;
 77        const FLOAT_TYPE q4_15 = qs64_80_hi4.w;
 78
 79        [[unroll]] for (uint j = 0; j < NUM_COLS; ++j) {
 80            vec2 by10 =  vec2(data_b_v2[(j*p.batch_stride_b + b_offset + y1_idx) / 2     ]);
 81            vec2 by116 = vec2(data_b_v2[(j*p.batch_stride_b + b_offset + y1_idx) / 2 +  8]);
 82            vec2 by132 = vec2(data_b_v2[(j*p.batch_stride_b + b_offset + y1_idx) / 2 + 16]);
 83            vec2 by148 = vec2(data_b_v2[(j*p.batch_stride_b + b_offset + y1_idx) / 2 + 24]);
 84            vec2 by20 =  vec2(data_b_v2[(j*p.batch_stride_b + b_offset + y2_idx) / 2     ]);
 85            vec2 by216 = vec2(data_b_v2[(j*p.batch_stride_b + b_offset + y2_idx) / 2 +  8]);
 86            vec2 by232 = vec2(data_b_v2[(j*p.batch_stride_b + b_offset + y2_idx) / 2 + 16]);
 87            vec2 by248 = vec2(data_b_v2[(j*p.batch_stride_b + b_offset + y2_idx) / 2 + 24]);
 88
 89            const FLOAT_TYPE sx =
 90              fma(FLOAT_TYPE(by10.x), q4_0,
 91              fma(FLOAT_TYPE(by10.y), q4_1,
 92              fma(FLOAT_TYPE(by116.x), q4_2,
 93                 FLOAT_TYPE(by116.y) * q4_3)));
 94            const FLOAT_TYPE sy =
 95              fma(FLOAT_TYPE(by132.x), q4_4,
 96              fma(FLOAT_TYPE(by132.y), q4_5,
 97              fma(FLOAT_TYPE(by148.x), q4_6,
 98                 FLOAT_TYPE(by148.y) * q4_7)));
 99            const FLOAT_TYPE sz =
100              fma(FLOAT_TYPE(by20.x), q4_8,
101              fma(FLOAT_TYPE(by20.y), q4_9,
102              fma(FLOAT_TYPE(by216.x), q4_10,
103                 FLOAT_TYPE(by216.y) * q4_11)));
104            const FLOAT_TYPE sw =
105              fma(FLOAT_TYPE(by232.x), q4_12,
106              fma(FLOAT_TYPE(by232.y), q4_13,
107              fma(FLOAT_TYPE(by248.x), q4_14,
108                 FLOAT_TYPE(by248.y) * q4_15)));
109            const FLOAT_TYPE smin =
110              fma(FLOAT_TYPE(by10.x) + FLOAT_TYPE(by10.y) + FLOAT_TYPE(by116.x) + FLOAT_TYPE(by116.y), sc2,
111              fma(FLOAT_TYPE(by132.x) + FLOAT_TYPE(by132.y) + FLOAT_TYPE(by148.x) + FLOAT_TYPE(by148.y), sc3,
112              fma(FLOAT_TYPE(by20.x) + FLOAT_TYPE(by20.y) + FLOAT_TYPE(by216.x) + FLOAT_TYPE(by216.y), sc6,
113                  (FLOAT_TYPE(by232.x) + FLOAT_TYPE(by232.y) + FLOAT_TYPE(by248.x) + FLOAT_TYPE(by248.y)) * sc7)));
114            temp[j][n] = fma(dm.x, fma(sx, sc0, fma(sy, sc1, fma(sz, sc4, sw * sc5))), fma(-dm.y, smin, temp[j][n]));
115        }
116    }
117}
118
119void compute_outputs(const uint32_t first_row, const uint32_t num_rows) {
120    uint a_offset, b_offset, d_offset;
121    get_offsets(a_offset, b_offset, d_offset);
122
123    const uint num_blocks_per_row = p.ncols / QUANT_K;
124
125    // 16 threads are used to process each block
126    const uint it_size = gl_WorkGroupSize.x/16;
127    const uint tid = gl_LocalInvocationID.x;
128    const uint itid = tid%16;  // 0...15
129    const uint ix = tid/16;
130
131    const uint il = itid/4;                          // 0...3
132    const uint ir = itid - 4*il;                     // 0...3
133
134    const uint v_im = il / 2;  // 0 or 1. 0 computes 0,32 + 128,160, 1 computes 64,96 + 192,224
135    const uint v_in = il % 2;
136
137    const uint l0 = 4*ir + 2*v_in;                   // 0...15
138    const uint q_offset = 32*v_im + l0;
139    const uint y_offset = 64*v_im + l0;
140
141    [[unroll]] for (uint j = 0; j < NUM_COLS; ++j) {
142        [[unroll]] for (uint i = 0; i < NUM_ROWS; ++i) {
143            temp[j][i] = FLOAT_TYPE(0);
144        }
145    }
146
147    [[unroll]] for (uint i = ix; i < num_blocks_per_row; i += it_size)
148        calc_superblock(a_offset, b_offset, v_im, l0, q_offset, y_offset, i, num_blocks_per_row, first_row, num_rows);
149
150    reduce_result(temp, d_offset, first_row, num_rows, tid);
151}
152
153void main() {
154    const uint first_row = NUM_ROWS * (gl_WorkGroupID.x + gl_NumWorkGroups.x * gl_WorkGroupID.z);
155
156    // do NUM_ROWS at a time, unless there aren't enough remaining rows
157    if (first_row + NUM_ROWS <= p.stride_d) {
158        compute_outputs(first_row, NUM_ROWS);
159    } else {
160        if (first_row >= p.stride_d) {
161            return;
162        }
163        compute_outputs(first_row, p.stride_d - first_row);
164    }
165}