File size: 6,357 Bytes
efe8193
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
"""Smaller, lower-compute inference wrapper for NeuralHorner v8.

The learned transition is unchanged.  Compared with the published wrapper:

* checkpoint tensors may be stored in bfloat16 and are restored to float32;
* logits are thresholded at zero (exactly equivalent to sigmoid(logit) > 0.5);
* only one operand is reduced before multiplication.  The other operand is
  streamed directly through the same Horner transition, eliminating a full
  modulus-width recurrent pass.
"""

from __future__ import annotations

from pathlib import Path

import torch
from torch import nn

from modchallenge.interface.base_model import ModularMultiplicationModel

_MASK32 = (1 << 32) - 1


def _to_bits_small(vals: torch.Tensor, width: int) -> torch.Tensor:
    shifts = torch.arange(width - 1, -1, -1, device=vals.device)
    return (vals[:, None] >> shifts[None, :]) & 1


def to_bits_limbs(ints, dev, width: int) -> torch.Tensor:
    nl = (width + 31) // 32
    cols = []
    for k in range(nl - 1, -1, -1):
        limb = torch.tensor(
            [(v >> (32 * k)) & _MASK32 for v in ints],
            dtype=torch.int64,
            device=dev,
        )
        cols.append(_to_bits_small(limb, 32))
    bits = torch.cat(cols, dim=1)
    return bits[:, nl * 32 - width:] if width < nl * 32 else bits


class Cell(nn.Module):
    def __init__(self, dmodel: int = 96, hidden: int = 128):
        super().__init__()
        self.in_proj = nn.Linear(3, dmodel)
        self.d_emb = nn.Embedding(2, dmodel)
        self.gru = nn.GRU(
            dmodel,
            hidden,
            num_layers=2,
            batch_first=True,
            bidirectional=True,
        )
        self.head = nn.Linear(2 * hidden, 1)

    def forward(self, feat, d):
        x = self.in_proj(feat) + self.d_emb(d)[:, None, :]
        h, _ = self.gru(x)
        return self.head(h).squeeze(-1)


def _bits_of(n: int) -> list[int]:
    if n <= 0:
        return [0]
    out: list[int] = []
    while n > 0:
        out.append(n & 1)
        n >>= 1
    out.reverse()
    return out


class BitSerialReducer(ModularMultiplicationModel):
    def __init__(self) -> None:
        self.model: Cell | None = None
        self.device: torch.device | None = None
        self.L = 32
        self._Leff = 32

    def load(self, model_dir: str) -> None:
        if torch.cuda.is_available():
            self.device = torch.device("cuda")
        elif torch.backends.mps.is_available():
            self.device = torch.device("mps")
        else:
            self.device = torch.device("cpu")
        ckpt = torch.load(
            Path(model_dir) / "weights.pt",
            map_location="cpu",
            weights_only=True,
        )
        self.L = int(ckpt.get("L", 32))
        self.model = Cell(**ckpt.get("config", {}))
        # load_state_dict casts compact bf16 checkpoint tensors back to fp32.
        self.model.load_state_dict(ckpt["state_dict"])
        self.model.to(self.device)
        self.model.eval()
        self.model.gru.flatten_parameters()

    def preprocess_a(self, a):
        return _bits_of(int(a))

    def preprocess_b(self, b):
        return _bits_of(int(b))

    def preprocess_p(self, p):
        return int(p)

    @torch.inference_mode()
    def predict_digits(self, a_enc, b_enc, p_enc):
        return self.predict_digits_batch([(a_enc, b_enc, p_enc)])[0]

    @torch.inference_mode()
    def predict_digits_batch(self, inputs):
        L = self.L
        max_op = 4 * L
        out: list[list[int]] = [[0] for _ in inputs]
        idx, a_lists, b_lists, p_vals = [], [], [], []
        for i, (a_enc, b_enc, p_enc) in enumerate(inputs):
            p = int(p_enc)
            a_bits = list(a_enc)
            b_bits = list(b_enc)
            if p < 2 or p >= (1 << L) or len(a_bits) > max_op or len(b_bits) > max_op:
                continue
            idx.append(i)
            a_lists.append(a_bits)
            b_lists.append(b_bits)
            p_vals.append(p)
        if not idx:
            return out

        dev = self.device
        maxp = max(int(p).bit_length() for p in p_vals)
        self._Leff = min(self.L, max(32, ((maxp + 31) // 32) * 32))
        p_bits = to_bits_limbs(p_vals, dev, self._Leff).float()

        # (a*b) mod p = ((a mod p)*b) mod p.  Streaming the original b bits
        # through the learned Horner cell avoids first reducing b and then
        # scanning its L-bit residue a second time.
        ra = self._reduce(a_lists, p_bits, dev)
        prod = self._scan(b_lists, ra, p_bits, dev)
        prod_list = prod.long().tolist()
        for j, i in enumerate(idx):
            out[i] = [int(x) for x in prod_list[j]]
        return out

    def max_batch_size(self) -> int:
        return 256

    def _step(self, s_bits, feat, d):
        # The multiplicand and modulus channels stay constant for an entire
        # scan. Reuse their preallocated feature tensor instead of rebuilding
        # and copying all three channels at every recurrent step.
        feat[:, :, 0].copy_(s_bits)
        if self.device is not None and self.device.type == "cuda":
            with torch.autocast(device_type="cuda", dtype=torch.bfloat16):
                logits = self.model(feat, d)
            # Comparing a bf16 value with zero has the same sign decision as
            # first widening it to fp32, without allocating the fp32 logits.
            return (logits > 0).float()
        return (self.model(feat, d) > 0).float()

    def _scan(self, bit_lists, x_bits, p_bits, dev):
        n = len(bit_lists)
        width = max(len(bits) for bits in bit_lists)
        padded = torch.zeros((n, width), dtype=torch.long, device=dev)
        for row, bits in enumerate(bit_lists):
            if bits:
                padded[row, width - len(bits):] = torch.tensor(
                    bits, dtype=torch.long, device=dev
                )
        state = torch.zeros((n, self._Leff), device=dev)
        feat = torch.empty((n, self._Leff, 3), device=dev)
        feat[:, :, 1].copy_(x_bits)
        feat[:, :, 2].copy_(p_bits)
        for pos in range(width):
            state = self._step(state, feat, padded[:, pos])
        return state

    def _reduce(self, bit_lists, p_bits, dev):
        ones = to_bits_limbs([1] * len(bit_lists), dev, self._Leff).float()
        return self._scan(bit_lists, ones, p_bits, dev)