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chore: import upstream snapshot with attribution
2026-07-13 12:43:05 +08:00

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// COMPILE-VERIFIED on macOS (glslc 2026.2, target Vulkan 1.1 / SPIR-V 1.3).
// Wave-4-B parity port: the in-place Hadamard butterfly is now executed by
// 32 threads cooperatively (mirrors metal/polar.metal). The (1/QK_POLAR)
// compensation is folded into the final per-row scalar so the parallel
// multiply pass over buf[] is gone.
//
// PolarQuant 4-bit block (block_q4_polar, 82 bytes):
// fp16 d // [0..1] per-block L2 norm
// uchar qs[64] // [2..65] 4-bit codes, low nibble first
// uchar qjl[16] // [66..81] optional 1-bit QJL residual
//
// Bits/element @ head_dim=128: with QJL = 5.125 bpw, without = 4.125 bpw.
//
// Ports `kernel_mul_mv_q4_polar_f32` from metal/polar.metal.
// Decode steps (mirror dequantize_row_q4_polar_ref):
// 1. Unpack 4-bit codes -> centroid LUT lookup (16 entries, Lloyd-Max N(0,1)).
// 2. Optional QJL residual: 1 sign-bit applied to a deterministic +/-1 sign
// vector (xorshift32 seeded with POLAR_QJL_SEED=42), magnitude
// 0.5 / sqrt(QK_POLAR).
// 3. In-place 128-element Walsh-Hadamard butterfly (7 stages).
// 4. Compensate by 1/QK_POLAR (orthonormal-inverse Hadamard).
// 5. Per-block L2 rescale by stored fp16 norm.
#version 450
#extension GL_EXT_shader_16bit_storage : require
#extension GL_EXT_shader_explicit_arithmetic_types_int8 : require
#extension GL_EXT_shader_explicit_arithmetic_types_int16 : require
layout(local_size_x = 32, local_size_y = 1, local_size_z = 1) in;
// k_blocks: (n_rows) packed 82-byte block_q4_polar, indexed via raw uint stream.
layout(std430, binding = 0) readonly buffer KBlocks {
uint k_packed[];
};
layout(std430, binding = 1) readonly buffer Q {
float q[]; // (head_dim)
};
layout(std430, binding = 2) writeonly buffer YOut {
float y[]; // (n_rows)
};
layout(push_constant) uniform Push {
uint n_rows;
uint head_dim; // must equal QK_POLAR (128)
uint use_qjl; // 0 / 1
uint k_offset_bytes; // graph dispatch base offset for the selected KV head
uint q_offset; // graph dispatch base offset in float elements
uint y_offset; // graph dispatch base offset in float elements
} push;
const uint QK_POLAR = 128u;
const uint QJL_RESIDUAL_BYTES = 16u; // QK_POLAR / 8
const uint POLAR_BLOCK_BYTES = 82u; // 2 + 64 + 16
const float POLAR_QJL_CORRECTION_MAGNITUDE = 0.5;
// 1 / sqrt(128).
const float POLAR_QJL_INV_SQRT_QK = 0.08838834764831845;
const float POLAR_INV_QK = 1.0 / 128.0;
// Bit-identical to POLAR_Q4_CENTROIDS in
// packages/native-plugins/polarquant-cpu/include/polarquant/polar_centroids.h.
const float POLAR_Q4_CENTROIDS[16] = float[16](
-2.754354807, -2.093562707, -1.643041510, -1.279739752,
-0.962640978, -0.672392117, -0.397897103, -0.131757782,
0.131757782, 0.397897103, 0.672392117, 0.962640978,
1.279739752, 1.643041510, 2.093562707, 2.754354807
);
// xorshift32(seed=42) sign vector used by the optional Polar QJL residual.
// Literal table avoids a tid==0 recurrent fill in the residual hot path.
const float POLAR_QJL_SIGNS[128] = float[128](
-1.0, -1.0, 1.0, -1.0, -1.0, -1.0, -1.0, -1.0,
1.0, 1.0, -1.0, 1.0, -1.0, -1.0, 1.0, 1.0,
-1.0, -1.0, 1.0, -1.0, 1.0, 1.0, -1.0, -1.0,
-1.0, 1.0, -1.0, 1.0, 1.0, 1.0, -1.0, -1.0,
-1.0, -1.0, 1.0, -1.0, 1.0, -1.0, 1.0, -1.0,
-1.0, -1.0, -1.0, 1.0, -1.0, 1.0, 1.0, 1.0,
1.0, 1.0, -1.0, 1.0, -1.0, -1.0, 1.0, 1.0,
1.0, 1.0, -1.0, -1.0, -1.0, 1.0, -1.0, 1.0,
1.0, -1.0, 1.0, -1.0, 1.0, 1.0, 1.0, 1.0,
-1.0, -1.0, -1.0, -1.0, 1.0, -1.0, -1.0, -1.0,
1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 1.0, -1.0,
-1.0, 1.0, -1.0, 1.0, 1.0, -1.0, 1.0, 1.0,
1.0, -1.0, -1.0, -1.0, 1.0, 1.0, -1.0, 1.0,
-1.0, 1.0, 1.0, -1.0, -1.0, 1.0, -1.0, -1.0,
1.0, -1.0, 1.0, -1.0, -1.0, 1.0, -1.0, -1.0,
1.0, 1.0, 1.0, -1.0, 1.0, -1.0, -1.0, 1.0
);
uint read_byte(uint b) {
uint w = k_packed[b >> 2];
return (w >> ((b & 3u) * 8u)) & 0xFFu;
}
uint read_u16(uint b) {
return read_byte(b) | (read_byte(b + 1u) << 8u);
}
// fp16 -> fp32 (manual; same routine as turbo3.comp).
float fp16_to_fp32(uint h16) {
uint sign = (h16 & 0x8000u) << 16;
uint exp = (h16 >> 10) & 0x1Fu;
uint mant = h16 & 0x3FFu;
uint u;
if (exp == 0u) {
if (mant == 0u) {
u = sign;
} else {
uint e = 1u;
while ((mant & 0x400u) == 0u) { mant <<= 1; e += 1u; }
mant &= 0x3FFu;
u = sign | ((127u - 15u - e + 1u) << 23) | (mant << 13);
}
} else if (exp == 0x1Fu) {
u = sign | 0x7F800000u | (mant << 13);
} else {
u = sign | ((exp + 127u - 15u) << 23) | (mant << 13);
}
return uintBitsToFloat(u);
}
shared float buf[128]; // 1 block of decoded floats
shared float reduce_scratch[32];
float reduce_sum_32(float v, uint tid) {
reduce_scratch[tid] = v;
barrier();
for (uint stride = 16u; stride > 0u; stride >>= 1) {
if (tid < stride) {
reduce_scratch[tid] += reduce_scratch[tid + stride];
}
barrier();
}
return reduce_scratch[0];
}
// Threadgroup-cooperative 128-element Walsh-Hadamard butterfly. Mirrors the
// Wave-4-B Metal port (polar_hadamard_inplace_tg32 in metal/polar.metal):
// 32 threads × 2 of 64 (a+b, a-b) butterfly pairs per stage, one barrier()
// between stages. Within a single stage every index 0..127 is touched by
// exactly one pair, so reads and writes do not race. Caller MUST barrier()
// before invoking so the input fill is visible to all threads.
void polar_hadamard_inplace_tg32(uint tid) {
for (uint h = 1u; h < QK_POLAR; h <<= 1) {
uint p0 = tid; // 0..31
uint p1 = tid + 32u; // 32..63
uint twoh = h << 1;
uint b0 = (p0 / h) * twoh;
uint o0 = p0 - (p0 / h) * h; // p0 % h, branchless
uint b1 = (p1 / h) * twoh;
uint o1 = p1 - (p1 / h) * h;
uint j0 = b0 + o0;
uint j1 = b1 + o1;
float a0 = buf[j0];
float c0 = buf[j0 + h];
float a1 = buf[j1];
float c1 = buf[j1 + h];
buf[j0] = a0 + c0;
buf[j0 + h] = a0 - c0;
buf[j1] = a1 + c1;
buf[j1 + h] = a1 - c1;
barrier();
}
}
void main() {
uint tid = gl_LocalInvocationID.x;
uint row = gl_WorkGroupID.x;
if (row >= push.n_rows || push.head_dim != QK_POLAR) return;
uint blk_off = push.k_offset_bytes + row * POLAR_BLOCK_BYTES;
// Step 1+2: unpack 4-bit codes to centroids. 32 threads x 2 bytes each
// covers all 64 bytes / 128 elements.
for (uint b = tid; b < QK_POLAR / 2u; b += 32u) {
uint byte = read_byte(blk_off + 2u + b);
buf[2u * b] = POLAR_Q4_CENTROIDS[byte & 0x0Fu];
buf[2u * b + 1u] = POLAR_Q4_CENTROIDS[(byte >> 4) & 0x0Fu];
}
barrier();
// Step 3: optional QJL residual. The xorshift32(seed=42) sign vector is a
// literal constant table, so all 32 threads can apply it directly.
if (push.use_qjl != 0u) {
uint bit = read_byte(blk_off + 2u + 64u) & 1u;
float sign_v = bit != 0u ? 1.0 : -1.0;
float mag = POLAR_QJL_CORRECTION_MAGNITUDE * POLAR_QJL_INV_SQRT_QK;
float scaled = sign_v * mag;
for (uint i = tid; i < QK_POLAR; i += 32u) {
buf[i] += scaled * POLAR_QJL_SIGNS[i];
}
barrier();
}
// Step 4: inverse Hadamard — threadgroup-cooperative 32-thread butterfly.
// Replaces the previous tid==0 sequential 7-stage loop that was the
// dominant cost in the Metal polar kernel (12.5× speedup on M4 Max).
polar_hadamard_inplace_tg32(tid);
// Step 5: dot product against q[]. Fold the (1/QK_POLAR) Hadamard
// compensation and per-block L2 norm into one final scalar applied
// after the tree reduction — saves a parallel multiply pass over buf[].
float acc = 0.0;
for (uint i = tid; i < QK_POLAR; i += 32u) {
acc += buf[i] * q[push.q_offset + i];
}
float sum = reduce_sum_32(acc, tid);
if (tid == 0u) {
uint norm16 = read_u16(blk_off);
float l2 = fp16_to_fp32(norm16);
y[push.y_offset + row] = sum * l2 * POLAR_INV_QK;
}
}