File size: 40,838 Bytes
58a9bad 7b8a56c 58a9bad 7b8a56c 58a9bad 81c511c 58a9bad 7b8a56c 58a9bad 81c511c 58a9bad 81c511c ca6659c 81c511c ca6659c 81c511c ca6659c 81c511c ca6659c 81c511c 58a9bad 81c511c 313da7e 58a9bad 81c511c 58a9bad 81c511c 58a9bad 81c511c 58a9bad 81c511c 58a9bad 81c511c 58a9bad 81c511c 58a9bad 81c511c 58a9bad 81c511c ca6659c 81c511c ca6659c 81c511c ca6659c 81c511c ca6659c 81c511c 58a9bad 81c511c 58a9bad 81c511c 58a9bad ca6659c 58a9bad 81c511c ca6659c 58a9bad 81c511c 58a9bad 313da7e 3c7f544 81c511c 3c7f544 81c511c 55eb692 81c511c 55eb692 81c511c 55eb692 81c511c ad82d36 81c511c 313da7e 81c511c 313da7e 81c511c b8c48ca 7fc245f ce521af 81c511c b8c48ca 81c511c 3c7f544 55eb692 ad82d36 55eb692 81c511c 55eb692 81c511c 55eb692 81c511c 55eb692 81c511c 55eb692 81c511c 55eb692 81c511c 55eb692 81c511c 3c7f544 58a9bad 3c7f544 58a9bad 55eb692 58a9bad 55eb692 58a9bad 55eb692 ad82d36 55eb692 58a9bad 313da7e 58a9bad 313da7e 58a9bad 55eb692 58a9bad 55eb692 58a9bad 55eb692 58a9bad 55eb692 58a9bad 55eb692 58a9bad 55eb692 58a9bad 55eb692 58a9bad 55eb692 58a9bad 55eb692 58a9bad 55eb692 58a9bad 55eb692 b8c48ca 55eb692 7fc245f ce521af 58a9bad 3c7f544 55eb692 58a9bad 3c7f544 55eb692 58a9bad 3c7f544 55eb692 58a9bad 55eb692 3c7f544 55eb692 3c7f544 55eb692 3c7f544 55eb692 b8c48ca 55eb692 b8c48ca 55eb692 b8c48ca 55eb692 b8c48ca 55eb692 b8c48ca 55eb692 58a9bad 55eb692 58a9bad 55eb692 58a9bad 55eb692 58a9bad 3c7f544 58a9bad 3c7f544 58a9bad | 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 | #!/usr/bin/env python3
"""
Threshold-calculus gate-level calculator.
Pure evaluation via .inputs + .weight/.bias only. No arithmetic shortcuts.
"""
from __future__ import annotations
import argparse
import ast
import json
import math
import re
import struct
import time
from dataclasses import dataclass, field
from typing import Dict, Iterable, List, Optional, Sequence, Tuple
import torch
from safetensors import safe_open
def int_to_bits(val: int, width: int) -> List[float]:
"""Convert integer to LSB-first bit list of length width."""
return [float((val >> i) & 1) for i in range(width)]
def bits_to_int(bits: Sequence[float]) -> int:
"""Convert LSB-first bit list to integer."""
return sum((1 << i) for i, b in enumerate(bits) if b >= 0.5)
def float_to_float16_bits(val: float) -> int:
"""Convert float to IEEE-754 float16 bits (with canonical NaN)."""
try:
packed = struct.pack(">e", float(val))
return struct.unpack(">H", packed)[0]
except (OverflowError, struct.error):
if val == float("inf"):
return 0x7C00
if val == float("-inf"):
return 0xFC00
if val != val:
return 0x7E00
return 0x7BFF if val > 0 else 0xFBFF
def float16_bits_to_float(bits: int) -> float:
"""Interpret 16-bit int as IEEE-754 float16."""
packed = struct.pack(">H", bits & 0xFFFF)
return struct.unpack(">e", packed)[0]
def parse_external_name(name: str) -> Tuple[Optional[str], Optional[int], Optional[str]]:
"""
Parse an external signal name into (base, index, full_key).
Examples:
"$a" -> ("a", None, "$a")
"float16.add.$a[3]" -> ("a", 3, "float16.add.$a")
"""
if "$" not in name:
return None, None, None
full_key = name.split("[", 1)[0]
base_part = name.split("$", 1)[1]
base = base_part.split("[", 1)[0]
idx = None
if "[" in base_part and "]" in base_part:
try:
idx = int(base_part.split("[", 1)[1].split("]", 1)[0])
except ValueError:
idx = None
return base, idx, full_key
def resolve_alias_target(name: str, gates: set) -> Optional[str]:
"""Resolve common alias signal names to actual gate names."""
if name in gates:
return name
cand = name + ".layer2"
if cand in gates:
return cand
if name.endswith(".sum"):
cand = name[:-4] + ".xor2.layer2"
if cand in gates:
return cand
if name.endswith(".cout"):
for suffix in [".or_carry", ".carry_or"]:
cand = name[:-5] + suffix
if cand in gates:
return cand
return None
_NUM_RE = re.compile(r"(?:\d+(?:\.\d*)?|\.\d+)(?:[eE][+-]?\d+)?")
_IDENT_RE = re.compile(r"[A-Za-z_][A-Za-z0-9_]*")
_FUNC_NAMES = {
"sqrt", "rsqrt", "exp", "ln", "log", "log2", "log10",
"deg2rad", "rad2deg",
"isnan", "is_nan", "isinf", "is_inf", "isfinite", "is_finite",
"iszero", "is_zero", "issubnormal", "is_subnormal",
"isnormal", "is_normal", "isneg", "is_negative", "signbit",
"sin", "cos", "tan", "tanh",
"asin", "acos", "atan", "sinh", "cosh",
"floor", "ceil", "round", "abs", "neg",
}
def _tokenize_expr(expr: str) -> List[str]:
tokens: List[str] = []
i = 0
while i < len(expr):
ch = expr[i]
if ch.isspace():
i += 1
continue
if expr.startswith("**", i):
tokens.append("**")
i += 2
continue
if ch in "+-*/(),":
tokens.append(ch)
i += 1
continue
num_match = _NUM_RE.match(expr, i)
if num_match:
tokens.append(num_match.group(0))
i = num_match.end()
continue
ident_match = _IDENT_RE.match(expr, i)
if ident_match:
tokens.append(ident_match.group(0))
i = ident_match.end()
continue
raise RuntimeError(f"bad token near: {expr[i:]}")
return tokens
def _needs_implicit_mul(left: str, right: str) -> bool:
if left in {"+", "-", "*", "/", "**", ",", "("}:
return False
if right in {"+", "-", "*", "/", "**", ",", ")"}:
return False
if left in _FUNC_NAMES and right == "(":
return False
return True
def _insert_implicit_mul(expr: str) -> str:
tokens = _tokenize_expr(expr)
if not tokens:
return expr
out: List[str] = []
for idx, tok in enumerate(tokens):
out.append(tok)
if idx + 1 >= len(tokens):
continue
nxt = tokens[idx + 1]
if _needs_implicit_mul(tok, nxt):
out.append("*")
return "".join(out)
def normalize_expr(expr: str) -> str:
"""Normalize user-facing calculator syntax to Python AST syntax."""
expr = expr.replace("\u03c0", "pi")
expr = expr.replace("\u00d7", "*").replace("\u00f7", "/").replace("\u2212", "-")
if "^" in expr:
expr = expr.replace("^", "**")
expr = _insert_implicit_mul(expr)
return expr
def looks_like_expression(text: str) -> bool:
tokens = ["+", "-", "*", "/", "(", ")", "^", "pi", "\u03c0"]
return any(tok in text for tok in tokens)
@dataclass
class EvalResult:
bits: List[float]
elapsed_s: float
gates_evaluated: int
non_gate_events: List[str] = field(default_factory=list)
@dataclass
class LevelBatch:
input_ids: torch.Tensor
weight: torch.Tensor
bias: torch.Tensor
output_ids: torch.Tensor
alias_ids: torch.Tensor
alias_src: torch.Tensor
@dataclass
class CompiledLevel:
batch: LevelBatch
@dataclass
class ExternalSpec:
entries: List[Tuple[int, str, int, str]]
width_full: Dict[str, int]
width_base: Dict[str, int]
@dataclass
class CompiledCircuit:
prefix: str
output_names: List[str]
output_ids: List[int]
levels: List[CompiledLevel]
external_spec: ExternalSpec
gate_count: int
class ThresholdCalculator:
def __init__(self, model_path: str = "./arithmetic.safetensors") -> None:
self.model_path = model_path
self.tensors: Dict[str, torch.Tensor] = {}
self.gates: List[str] = []
self.name_to_id: Dict[str, int] = {}
self.id_to_name: Dict[int, str] = {}
self._gate_inputs: Dict[str, torch.Tensor] = {}
self._gate_set: set = set()
self._alias_to_gate: Dict[int, int] = {}
self._gate_to_alias: Dict[int, List[int]] = {}
self._id_to_gate: Dict[int, str] = {}
self._topo_cache: Dict[Tuple[str, Tuple[str, ...]], List[str]] = {}
self._compiled: Dict[Tuple[str, Tuple[str, ...]], CompiledCircuit] = {}
self._const_cache: Dict[str, int] = {}
self._load()
def _load(self) -> None:
with safe_open(self.model_path, framework="pt") as f:
for name in f.keys():
self.tensors[name] = f.get_tensor(name)
metadata = f.metadata()
if metadata and "signal_registry" in metadata:
registry_raw = json.loads(metadata["signal_registry"])
self.id_to_name = {int(k): v for k, v in registry_raw.items()}
self.name_to_id = {v: int(k) for k, v in registry_raw.items()}
self.gates = sorted({k.rsplit(".", 1)[0] for k in self.tensors.keys() if k.endswith(".weight")})
self._gate_set = set(self.gates)
for gate in self.gates:
inputs_key = f"{gate}.inputs"
if inputs_key in self.tensors:
self._gate_inputs[gate] = self.tensors[inputs_key].to(dtype=torch.long)
self._build_alias_maps()
for gate in self.gates:
gid = self.name_to_id.get(gate)
if gid is not None:
self._id_to_gate[gid] = gate
def _build_alias_maps(self) -> None:
gates = set(self.gates)
alias_to_gate: Dict[int, int] = {}
gate_to_alias: Dict[int, List[int]] = {}
for name, sid in self.name_to_id.items():
if name in ("#0", "#1"):
continue
if name.startswith("$") or ".$" in name:
continue
if name in gates:
continue
target = resolve_alias_target(name, gates)
if not target:
continue
target_id = self.name_to_id.get(target)
if target_id is None:
continue
alias_to_gate[sid] = target_id
gate_to_alias.setdefault(target_id, []).append(sid)
self._alias_to_gate = alias_to_gate
self._gate_to_alias = gate_to_alias
def _signal_to_gate(self, sid: int) -> Optional[str]:
if sid in self._id_to_gate:
return self._id_to_gate[sid]
alias_target = self._alias_to_gate.get(sid)
if alias_target is not None:
return self._id_to_gate.get(alias_target)
return None
def _default_outputs(self, prefix: str, out_bits: int) -> List[str]:
if f"{prefix}.out0.weight" in self.tensors:
return [f"{prefix}.out{i}" for i in range(out_bits)]
if prefix in self._gate_set:
return [prefix]
raise RuntimeError(f"{prefix}: no outputs found")
def _collect_required_gates(self, output_gates: Sequence[str]) -> List[str]:
required: set = set()
stack = list(output_gates)
while stack:
gate = stack.pop()
if gate in required:
continue
if gate not in self._gate_inputs:
raise RuntimeError(f"{gate}: missing .inputs tensor")
required.add(gate)
input_ids = self._gate_inputs[gate]
for sid in input_ids.tolist():
dep_gate = self._signal_to_gate(int(sid))
if dep_gate is not None and dep_gate not in required:
stack.append(dep_gate)
return sorted(required)
def _topo_sort(self, gates: Sequence[str]) -> List[str]:
key = tuple(gates)
cache_key = ("__set__", key)
if cache_key in self._topo_cache:
return self._topo_cache[cache_key]
gate_set = set(gates)
deps: Dict[str, set] = {g: set() for g in gates}
rev: Dict[str, List[str]] = {g: [] for g in gates}
for gate in gates:
input_ids = self._gate_inputs[gate].tolist()
for sid in input_ids:
dep_gate = self._signal_to_gate(int(sid))
if dep_gate is not None and dep_gate in gate_set:
deps[gate].add(dep_gate)
rev[dep_gate].append(gate)
queue = sorted([g for g in gates if not deps[g]])
order: List[str] = []
while queue:
g = queue.pop(0)
order.append(g)
for child in rev[g]:
deps[child].remove(g)
if not deps[child]:
queue.append(child)
queue.sort()
if len(order) != len(gates):
raise RuntimeError("Dependency cycle or unresolved inputs in gate graph")
self._topo_cache[cache_key] = order
return order
def _required_externals(self, gates: Iterable[str]) -> List[int]:
externals: set = set()
for gate in gates:
for sid in self._gate_inputs[gate].tolist():
sid = int(sid)
name = self.id_to_name.get(sid, "")
if name.startswith("$") or ".$" in name:
externals.add(sid)
return sorted(externals)
def _build_external_spec(self, gates: Iterable[str]) -> ExternalSpec:
required_externals = self._required_externals(gates)
width_full: Dict[str, int] = {}
width_base: Dict[str, int] = {}
entries: List[Tuple[int, str, int, str]] = []
for sid in required_externals:
name = self.id_to_name.get(sid, "")
base, idx, full_key = parse_external_name(name)
if base is None or full_key is None:
continue
w = (idx + 1) if idx is not None else 1
width_full[full_key] = max(width_full.get(full_key, 1), w)
width_base[base] = max(width_base.get(base, 1), w)
entries.append((sid, base, idx if idx is not None else 0, full_key))
entries.sort(key=lambda x: x[0])
return ExternalSpec(entries=entries, width_full=width_full, width_base=width_base)
def _normalize_inputs(self, spec: ExternalSpec, inputs: Dict[str, object]) -> Dict[int, float]:
exact: Dict[str, object] = {}
base_inputs: Dict[str, object] = {}
for key, val in inputs.items():
if "$" in key:
exact[key] = val
else:
base_inputs[key] = val
def ensure_bit_list(val: object, width: int) -> List[float]:
if isinstance(val, (list, tuple)):
bits = [float(b) for b in val]
if len(bits) < width:
raise RuntimeError(f"input width {len(bits)} < required {width}")
return bits
if isinstance(val, int):
return int_to_bits(val, width)
if isinstance(val, float):
if width != 16:
raise RuntimeError("float inputs only supported for 16-bit values")
bits_int = float_to_float16_bits(val)
return int_to_bits(bits_int, width)
raise RuntimeError("inputs must be list/tuple, int, or float16-compatible float")
normalized: Dict[int, float] = {}
for sid, base, idx, full_key in spec.entries:
if full_key in exact:
bits = ensure_bit_list(exact[full_key], spec.width_full[full_key])
elif base in base_inputs:
bits = ensure_bit_list(base_inputs[base], spec.width_base[base])
else:
raise RuntimeError(f"missing external input for {full_key}")
normalized[sid] = float(bits[idx])
return normalized
def _compile_prefix(self, prefix: str, output_gates: List[str]) -> CompiledCircuit:
key = (prefix, tuple(output_gates))
if key in self._compiled:
return self._compiled[key]
required_gates = self._collect_required_gates(output_gates)
gate_order = self._topo_sort(required_gates)
external_spec = self._build_external_spec(required_gates)
gate_set = set(required_gates)
level_map: Dict[str, int] = {}
levels: List[List[str]] = []
for gate in gate_order:
deps: List[str] = []
for sid in self._gate_inputs[gate].tolist():
dep_gate = self._signal_to_gate(int(sid))
if dep_gate is not None and dep_gate in gate_set:
deps.append(dep_gate)
if deps:
lvl = max(level_map[d] for d in deps) + 1
else:
lvl = 0
level_map[gate] = lvl
while lvl >= len(levels):
levels.append([])
levels[lvl].append(gate)
compiled_levels: List[CompiledLevel] = []
gate_count = 0
for level_gates in levels:
if not level_gates:
continue
max_fanin = max(int(self._gate_inputs[g].numel()) for g in level_gates)
num_gates = len(level_gates)
input_ids = torch.zeros((num_gates, max_fanin), dtype=torch.long)
weight_mat = torch.zeros((num_gates, max_fanin), dtype=torch.float32)
bias_vec = torch.zeros((num_gates,), dtype=torch.float32)
output_ids = torch.zeros((num_gates,), dtype=torch.long)
alias_ids: List[int] = []
alias_src: List[int] = []
for idx, gate in enumerate(level_gates):
gate_inputs = self._gate_inputs[gate]
fan_in = int(gate_inputs.numel())
input_ids[idx, :fan_in] = gate_inputs
weight = self.tensors[f"{gate}.weight"]
if weight.dtype != torch.float32:
weight = weight.float()
weight_mat[idx, :fan_in] = weight
bias_vec[idx] = self.tensors.get(f"{gate}.bias", torch.tensor([0.0])).float().item()
output_id = self.name_to_id.get(gate)
if output_id is None:
raise RuntimeError(f"{gate}: missing signal id")
output_ids[idx] = output_id
for alias_id in self._gate_to_alias.get(output_id, []):
alias_ids.append(alias_id)
alias_src.append(idx)
if alias_ids:
alias_ids_vec = torch.tensor(alias_ids, dtype=torch.long)
alias_src_vec = torch.tensor(alias_src, dtype=torch.long)
else:
alias_ids_vec = torch.empty((0,), dtype=torch.long)
alias_src_vec = torch.empty((0,), dtype=torch.long)
compiled_levels.append(
CompiledLevel(
batch=LevelBatch(
input_ids=input_ids,
weight=weight_mat,
bias=bias_vec,
output_ids=output_ids,
alias_ids=alias_ids_vec,
alias_src=alias_src_vec,
)
)
)
gate_count += num_gates
output_ids: List[int] = []
for gate in output_gates:
gid = self.name_to_id.get(gate)
if gid is None:
raise RuntimeError(f"{prefix}: missing output {gate}")
output_ids.append(gid)
compiled = CompiledCircuit(
prefix=prefix,
output_names=output_gates,
output_ids=output_ids,
levels=compiled_levels,
external_spec=external_spec,
gate_count=gate_count,
)
self._compiled[key] = compiled
return compiled
def evaluate_prefix(
self,
prefix: str,
inputs: Dict[str, object],
out_bits: int = 16,
outputs: Optional[List[str]] = None,
) -> EvalResult:
output_gates = outputs if outputs is not None else self._default_outputs(prefix, out_bits)
compiled = self._compile_prefix(prefix, output_gates)
num_signals = len(self.id_to_name)
signals = torch.full((num_signals,), float("nan"))
if "#0" in self.name_to_id:
signals[self.name_to_id["#0"]] = 0.0
if "#1" in self.name_to_id:
signals[self.name_to_id["#1"]] = 1.0
seeded = self._normalize_inputs(compiled.external_spec, inputs)
for sid, val in seeded.items():
signals[sid] = val
start = time.time()
evaluated = 0
for level in compiled.levels:
batch = level.batch
input_vals = torch.take(signals, batch.input_ids)
if torch.isnan(input_vals).any():
raise RuntimeError(f"{prefix}: unresolved inputs")
totals = (batch.weight * input_vals).sum(dim=1) + batch.bias
outs = (totals >= 0).to(dtype=signals.dtype)
signals[batch.output_ids] = outs
if batch.alias_ids.numel() > 0:
signals.index_copy_(0, batch.alias_ids, outs.index_select(0, batch.alias_src))
evaluated += int(batch.output_ids.numel())
elapsed = time.time() - start
bits: List[float] = []
for gid in compiled.output_ids:
if torch.isnan(signals[gid]):
raise RuntimeError(f"{prefix}: missing output")
bits.append(float(signals[gid]))
return EvalResult(bits=bits, elapsed_s=elapsed, gates_evaluated=evaluated)
# Float16 convenience wrappers (pure gate evaluation)
def float16_binop(self, op: str, a: float, b: float) -> Tuple[float, EvalResult]:
prefix = f"float16.{op}"
a_bits = int_to_bits(float_to_float16_bits(a), 16)
b_bits = int_to_bits(float_to_float16_bits(b), 16)
if op == "sub":
# float16.sub is defined as add with flipped sign bit on b
b_bits[15] = 1.0 - b_bits[15]
result = self.evaluate_prefix(prefix, {"a": a_bits, "b": b_bits}, out_bits=16)
out_int = bits_to_int(result.bits)
return float16_bits_to_float(out_int), result
def float16_unary(self, op: str, x: float) -> Tuple[float, EvalResult]:
prefix = f"float16.{op}"
x_bits = int_to_bits(float_to_float16_bits(x), 16)
# Unary LUT ops are wired through float16.lut.$x
result = self.evaluate_prefix(prefix, {"x": x_bits}, out_bits=16)
out_int = bits_to_int(result.bits)
return float16_bits_to_float(out_int), result
def float16_pow(self, a: float, b: float) -> Tuple[float, EvalResult]:
prefix = "float16.pow"
a_bits = int_to_bits(float_to_float16_bits(a), 16)
b_bits = int_to_bits(float_to_float16_bits(b), 16)
result = self.evaluate_prefix(prefix, {"a": a_bits, "b": b_bits}, out_bits=16)
out_int = bits_to_int(result.bits)
return float16_bits_to_float(out_int), result
def _const_bits(self, name: str, fallback: float) -> int:
if name in self._const_cache:
return self._const_cache[name]
prefix = f"float16.const_{name}"
if f"{prefix}.out0.weight" in self.tensors:
res = self.evaluate_prefix(prefix, {}, out_bits=16)
self._const_cache[name] = bits_to_int(res.bits)
else:
self._const_cache[name] = float_to_float16_bits(fallback)
return self._const_cache[name]
def evaluate_rpn(
self,
tokens: Sequence[str],
force_gate_eval: bool = True,
angle_mode: str = "rad",
) -> EvalResult:
"""Evaluate an expression from RPN tokens using float16 circuits."""
total_elapsed = 0.0
total_gates = 0
non_gate_events: List[str] = []
angle_mode = (angle_mode or "rad").lower()
use_degrees = angle_mode.startswith("deg")
def run_prefix(prefix: str, inputs: Dict[str, object], outputs: Optional[List[str]] = None) -> EvalResult:
nonlocal total_elapsed, total_gates
res = self.evaluate_prefix(prefix, inputs, out_bits=16, outputs=outputs)
total_elapsed += res.elapsed_s
total_gates += res.gates_evaluated
return res
def resolve_unary_outputs(prefix: str) -> List[str]:
names: List[str] = []
for i in range(16):
checked = f"{prefix}.checked_out{i}"
if f"{checked}.weight" in self.tensors:
names.append(checked)
else:
names.append(f"{prefix}.out{i}")
return names
def const_to_bits(tok: str) -> int:
if tok == "pi":
return self._const_bits("pi", math.pi)
if tok == "e":
return self._const_bits("e", math.e)
if tok == "deg2rad":
return self._const_bits("deg2rad", math.pi / 180.0)
if tok == "rad2deg":
return self._const_bits("rad2deg", 180.0 / math.pi)
if tok == "inf":
return float_to_float16_bits(float("inf"))
if tok == "nan":
return float_to_float16_bits(float("nan"))
try:
return float_to_float16_bits(float(tok))
except ValueError:
raise RuntimeError(f"bad token: {tok}")
stack: List[int] = []
unary_ops = {
"sqrt": "float16.sqrt",
"rsqrt": "float16.rsqrt",
"exp": "float16.exp",
"ln": "float16.ln",
"log": "float16.ln",
"log2": "float16.log2",
"log10": "float16.log10",
"deg2rad": "float16.deg2rad",
"rad2deg": "float16.rad2deg",
"isnan": "float16.is_nan",
"is_nan": "float16.is_nan",
"isinf": "float16.is_inf",
"is_inf": "float16.is_inf",
"isfinite": "float16.is_finite",
"is_finite": "float16.is_finite",
"iszero": "float16.is_zero",
"is_zero": "float16.is_zero",
"issubnormal": "float16.is_subnormal",
"is_subnormal": "float16.is_subnormal",
"isnormal": "float16.is_normal",
"is_normal": "float16.is_normal",
"isneg": "float16.is_negative",
"is_negative": "float16.is_negative",
"signbit": "float16.is_negative",
"sin": "float16.sin",
"cos": "float16.cos",
"tan": "float16.tan",
"tanh": "float16.tanh",
"asin": "float16.asin",
"acos": "float16.acos",
"atan": "float16.atan",
"sinh": "float16.sinh",
"cosh": "float16.cosh",
"floor": "float16.floor",
"ceil": "float16.ceil",
"round": "float16.round",
"abs": "float16.abs",
"neg": "float16.neg",
}
for tok in tokens:
if tok in unary_ops:
if not stack:
raise RuntimeError("stack underflow")
x = stack.pop()
prefix = unary_ops[tok]
if use_degrees and tok in ("sin", "cos", "tan"):
prefix = f"float16.{tok}_deg"
elif use_degrees and tok in ("asin", "acos", "atan"):
prefix = f"float16.{tok}_deg"
if f"{prefix}.domain.weight" in self.tensors:
outs = resolve_unary_outputs(prefix) + [f"{prefix}.domain"]
res = run_prefix(prefix, {"x": x}, outputs=outs)
if res.bits[16] >= 0.5:
x_val = float16_bits_to_float(x)
raise RuntimeError(f"domain error: {tok}({x_val})")
out = bits_to_int(res.bits[:16])
else:
res = run_prefix(prefix, {"x": x})
out = bits_to_int(res.bits)
stack.append(out)
continue
if tok in {"+", "-", "*", "/", "^"}:
if len(stack) < 2:
raise RuntimeError("stack underflow")
b = stack.pop()
a = stack.pop()
if tok == "+":
out = bits_to_int(run_prefix("float16.add", {"a": a, "b": b}).bits)
elif tok == "-":
b_flip = b ^ 0x8000
out = bits_to_int(run_prefix("float16.sub", {"a": a, "b": b_flip}).bits)
elif tok == "*":
out = bits_to_int(run_prefix("float16.mul", {"a": a, "b": b}).bits)
elif tok == "/":
out = bits_to_int(run_prefix("float16.div", {"a": a, "b": b}).bits)
else:
out = bits_to_int(run_prefix("float16.pow", {"a": a, "b": b}).bits)
stack.append(out)
continue
stack.append(const_to_bits(tok))
if len(stack) != 1:
raise RuntimeError("invalid expression")
out_bits = stack.pop()
if total_gates == 0:
if force_gate_eval:
out_bits = bits_to_int(run_prefix("float16.add", {"a": out_bits, "b": 0}).bits)
else:
non_gate_events.append("constant_expression_no_gates")
return EvalResult(
bits=int_to_bits(out_bits, 16),
elapsed_s=total_elapsed,
gates_evaluated=total_gates,
non_gate_events=non_gate_events,
)
def evaluate_expr(
self,
expr: str,
force_gate_eval: bool = True,
angle_mode: str = "rad",
) -> EvalResult:
"""Evaluate a calculator expression using float16 circuits."""
expr = normalize_expr(expr)
angle_mode = (angle_mode or "rad").lower()
use_degrees = angle_mode.startswith("deg")
tree = ast.parse(expr, mode="eval")
total_elapsed = 0.0
total_gates = 0
non_gate_events: List[str] = []
def run_prefix(prefix: str, inputs: Dict[str, object], outputs: Optional[List[str]] = None) -> EvalResult:
nonlocal total_elapsed, total_gates
res = self.evaluate_prefix(prefix, inputs, out_bits=16, outputs=outputs)
total_elapsed += res.elapsed_s
total_gates += res.gates_evaluated
return res
def run_unary(prefix: str, x_bits: int, fname: str) -> int:
if f"{prefix}.domain.weight" in self.tensors:
outs = []
for i in range(16):
checked = f"{prefix}.checked_out{i}"
if f"{checked}.weight" in self.tensors:
outs.append(checked)
else:
outs.append(f"{prefix}.out{i}")
outs.append(f"{prefix}.domain")
res = run_prefix(prefix, {"x": x_bits}, outputs=outs)
if res.bits[16] >= 0.5:
x_val = float16_bits_to_float(x_bits)
raise RuntimeError(f"domain error: {fname}({x_val})")
return bits_to_int(res.bits[:16])
return bits_to_int(run_prefix(prefix, {"x": x_bits}).bits)
def eval_node(node: ast.AST) -> int:
if isinstance(node, ast.Expression):
return eval_node(node.body)
if isinstance(node, ast.Constant):
if isinstance(node.value, (int, float)):
return float_to_float16_bits(float(node.value))
raise RuntimeError("unsupported literal")
if isinstance(node, ast.Name):
name = node.id
if name == "pi":
return self._const_bits("pi", math.pi)
if name == "e":
return self._const_bits("e", math.e)
if name == "deg2rad":
return self._const_bits("deg2rad", math.pi / 180.0)
if name == "rad2deg":
return self._const_bits("rad2deg", 180.0 / math.pi)
if name == "inf":
return float_to_float16_bits(float("inf"))
if name == "nan":
return float_to_float16_bits(float("nan"))
raise RuntimeError(f"unknown identifier: {name}")
if isinstance(node, ast.UnaryOp):
if isinstance(node.op, ast.UAdd):
return eval_node(node.operand)
if isinstance(node.op, ast.USub):
x = eval_node(node.operand)
return bits_to_int(run_prefix("float16.neg", {"x": x}).bits)
raise RuntimeError("unsupported unary operator")
if isinstance(node, ast.BinOp):
a = eval_node(node.left)
b = eval_node(node.right)
if isinstance(node.op, ast.Add):
return bits_to_int(run_prefix("float16.add", {"a": a, "b": b}).bits)
if isinstance(node.op, ast.Sub):
b_flip = b ^ 0x8000
return bits_to_int(run_prefix("float16.sub", {"a": a, "b": b_flip}).bits)
if isinstance(node.op, ast.Mult):
return bits_to_int(run_prefix("float16.mul", {"a": a, "b": b}).bits)
if isinstance(node.op, ast.Div):
return bits_to_int(run_prefix("float16.div", {"a": a, "b": b}).bits)
if isinstance(node.op, ast.Pow):
return bits_to_int(run_prefix("float16.pow", {"a": a, "b": b}).bits)
raise RuntimeError("unsupported binary operator")
if isinstance(node, ast.Call):
if not isinstance(node.func, ast.Name):
raise RuntimeError("unsupported function")
fname = node.func.id
if len(node.args) != 1:
raise RuntimeError(f"{fname} expects one argument")
x = eval_node(node.args[0])
if fname == "sqrt":
return run_unary("float16.sqrt", x, fname)
if fname == "rsqrt":
return run_unary("float16.rsqrt", x, fname)
if fname == "exp":
return run_unary("float16.exp", x, fname)
if fname in ("ln", "log"):
return run_unary("float16.ln", x, fname)
if fname == "log2":
return run_unary("float16.log2", x, fname)
if fname == "log10":
return run_unary("float16.log10", x, fname)
if fname == "deg2rad":
return run_unary("float16.deg2rad", x, fname)
if fname == "rad2deg":
return run_unary("float16.rad2deg", x, fname)
if fname in ("isnan", "is_nan"):
return run_unary("float16.is_nan", x, fname)
if fname in ("isinf", "is_inf"):
return run_unary("float16.is_inf", x, fname)
if fname in ("isfinite", "is_finite"):
return run_unary("float16.is_finite", x, fname)
if fname in ("iszero", "is_zero"):
return run_unary("float16.is_zero", x, fname)
if fname in ("issubnormal", "is_subnormal"):
return run_unary("float16.is_subnormal", x, fname)
if fname in ("isnormal", "is_normal"):
return run_unary("float16.is_normal", x, fname)
if fname in ("isneg", "is_negative", "signbit"):
return run_unary("float16.is_negative", x, fname)
if fname == "sin":
prefix = "float16.sin_deg" if use_degrees else "float16.sin"
return run_unary(prefix, x, fname)
if fname == "cos":
prefix = "float16.cos_deg" if use_degrees else "float16.cos"
return run_unary(prefix, x, fname)
if fname == "tan":
prefix = "float16.tan_deg" if use_degrees else "float16.tan"
return run_unary(prefix, x, fname)
if fname == "tanh":
return run_unary("float16.tanh", x, fname)
if fname == "asin":
prefix = "float16.asin_deg" if use_degrees else "float16.asin"
return run_unary(prefix, x, fname)
if fname == "acos":
prefix = "float16.acos_deg" if use_degrees else "float16.acos"
return run_unary(prefix, x, fname)
if fname == "atan":
prefix = "float16.atan_deg" if use_degrees else "float16.atan"
return run_unary(prefix, x, fname)
if fname == "sinh":
return run_unary("float16.sinh", x, fname)
if fname == "cosh":
return run_unary("float16.cosh", x, fname)
if fname == "floor":
return run_unary("float16.floor", x, fname)
if fname == "ceil":
return run_unary("float16.ceil", x, fname)
if fname == "round":
return run_unary("float16.round", x, fname)
if fname == "abs":
return run_unary("float16.abs", x, fname)
if fname == "neg":
return run_unary("float16.neg", x, fname)
raise RuntimeError(f"unsupported function: {fname}")
raise RuntimeError("unsupported expression")
out_bits = eval_node(tree)
if total_gates == 0:
if force_gate_eval:
# Route constants through float16.add with +0 to ensure gate-level evaluation.
out_bits = bits_to_int(run_prefix("float16.add", {"a": out_bits, "b": 0}).bits)
else:
non_gate_events.append("constant_expression_no_gates")
return EvalResult(
bits=int_to_bits(out_bits, 16),
elapsed_s=total_elapsed,
gates_evaluated=total_gates,
non_gate_events=non_gate_events,
)
def main() -> int:
parser = argparse.ArgumentParser(description="Gate-level calculator for threshold-calculus")
parser.add_argument("prefix", nargs="?", default="", help="Circuit prefix (e.g., float16.add) or expression")
parser.add_argument("values", nargs="*", help="Input values (float for float16, int otherwise)")
parser.add_argument("--model", default="./arithmetic.safetensors", help="Path to safetensors model")
parser.add_argument("--out-bits", type=int, default=16, help="Number of output bits")
parser.add_argument("--inputs", nargs="*", help="Explicit inputs as name=value (e.g., a=0x3c00)")
parser.add_argument("--hex", action="store_true", help="Parse numeric inputs as hex")
parser.add_argument("--expr", help="Evaluate expression using float16 circuits")
parser.add_argument("--angle", default="rad", choices=["rad", "deg"], help="Angle mode for trig functions")
parser.add_argument("--json", action="store_true", help="Output JSON result")
parser.add_argument("--strict", action="store_true", help="Warn if any non-gate path is used")
args = parser.parse_args()
calc = ThresholdCalculator(args.model)
def emit_result(prefix: str, out_int: int, result: EvalResult, expr: Optional[str] = None) -> int:
out_float = float16_bits_to_float(out_int) if len(result.bits) == 16 else None
if args.strict and result.non_gate_events:
print(f"STRICT WARNING: non-gate path used: {result.non_gate_events}")
if args.json:
payload = {
"prefix": prefix,
"expr": expr,
"bits": f"0x{out_int:04x}",
"float16": out_float,
"gates": result.gates_evaluated,
"elapsed_s": result.elapsed_s,
"non_gate_events": result.non_gate_events,
}
print(json.dumps(payload))
else:
if expr:
print(f"expr={expr}")
print(f"bits=0x{out_int:04x} float16={out_float}")
print(f"gates={result.gates_evaluated} elapsed_s={result.elapsed_s:.4f}")
return 0
if args.expr or (args.prefix and not args.values and not args.inputs and looks_like_expression(args.prefix)):
expr = args.expr if args.expr else args.prefix
result = calc.evaluate_expr(expr, angle_mode=args.angle)
out_int = bits_to_int(result.bits)
return emit_result("expr", out_int, result, expr=expr)
if not args.prefix:
raise RuntimeError("Provide a circuit prefix or use --expr")
if args.inputs:
inputs: Dict[str, object] = {}
for item in args.inputs:
if "=" not in item:
raise RuntimeError("inputs must be name=value")
key, val = item.split("=", 1)
if args.hex or val.startswith("0x"):
inputs[key] = int(val, 16)
else:
try:
inputs[key] = int(val)
except ValueError:
inputs[key] = float(val)
result = calc.evaluate_prefix(args.prefix, inputs, out_bits=args.out_bits)
out_int = bits_to_int(result.bits)
print(f"bits={result.bits}")
print(f"int=0x{out_int:0{(args.out_bits + 3) // 4}x}")
if args.out_bits == 16:
pass
return emit_result(args.prefix, out_int, result)
# Convenience mode for float16 binary/unary
prefix = args.prefix
if prefix.startswith("float16."):
op = prefix.split(".", 1)[1]
if op == "pow":
if len(args.values) != 2:
raise RuntimeError("float16.pow requires two values")
out, result = calc.float16_pow(float(args.values[0]), float(args.values[1]))
elif op in ("add", "sub", "mul", "div"):
if len(args.values) != 2:
raise RuntimeError(f"{prefix} requires two values")
out, result = calc.float16_binop(op, float(args.values[0]), float(args.values[1]))
else:
if len(args.values) != 1:
raise RuntimeError(f"{prefix} requires one value")
out, result = calc.float16_unary(op, float(args.values[0]))
out_bits = bits_to_int(result.bits)
return emit_result(prefix, out_bits, result)
raise RuntimeError("Provide --inputs for non-float16 circuits")
if __name__ == "__main__":
raise SystemExit(main())
|