CharlesCNorton
Fix priority encoder circuit logic
a696964
"""
Build tools for 8-bit Threshold Computer safetensors.
Subcommands:
python build.py memory - Generate 64KB memory circuits
python build.py inputs - Add .inputs metadata tensors
python build.py all - Run both (memory first, then inputs)
ROUTING SCHEMA (formerly routing.json)
======================================
Routing info is now embedded in safetensors via .inputs tensors and signal registry metadata.
INPUT SOURCE TYPES
------------------
1. External input: "$input_name" - Named input to the circuit
- Example: "$a", "$b", "$cin"
2. Gate output: "path.to.gate" - Output of another gate
- Example: "ha1.sum", "layer1.or"
3. Bit extraction: "$input[i]" - Single bit from multi-bit input
- Example: "$a[0]" (LSB), "$a[7]" (MSB for 8-bit)
4. Constant: "#0" or "#1" - Fixed value
- Example: "#1" for carry-in in two's complement
CIRCUIT TYPES
-------------
Single-Layer Gates: .weight and .bias only
"boolean.and": ["$a", "$b"]
Two-Layer Gates (XOR, XNOR): layer1 + layer2
"boolean.xor.layer1.or": ["$a", "$b"]
"boolean.xor.layer1.nand": ["$a", "$b"]
"boolean.xor.layer2": ["layer1.or", "layer1.nand"]
Hierarchical Circuits: nested sub-components
"arithmetic.fulladder": {
"ha1.sum.layer1.or": ["$a", "$b"],
"ha1.carry": ["$a", "$b"],
"ha2.sum.layer1.or": ["ha1.sum", "$cin"],
"carry_or": ["ha1.carry", "ha2.carry"]
}
Bit-Indexed Circuits: multi-bit operations
"arithmetic.ripplecarry8bit.fa0": ["$a[0]", "$b[0]", "#0"]
"arithmetic.ripplecarry8bit.fa1": ["$a[1]", "$b[1]", "fa0.cout"]
PACKED MEMORY CIRCUITS
----------------------
64KB memory uses packed tensors (shapes for 16-bit address, 8-bit data):
memory.addr_decode.weight: [65536, 16]
memory.addr_decode.bias: [65536]
memory.read.and.weight: [8, 65536, 2]
memory.read.and.bias: [8, 65536]
memory.read.or.weight: [8, 65536]
memory.read.or.bias: [8]
memory.write.sel.weight: [65536, 2]
memory.write.sel.bias: [65536]
memory.write.nsel.weight: [65536, 1]
memory.write.nsel.bias: [65536]
memory.write.and_old.weight: [65536, 8, 2]
memory.write.and_old.bias: [65536, 8]
memory.write.and_new.weight: [65536, 8, 2]
memory.write.and_new.bias: [65536, 8]
memory.write.or.weight: [65536, 8, 2]
memory.write.or.bias: [65536, 8]
Semantics:
decode: sel[i] = H(sum(addr_bits * weight[i]) + bias[i])
read: bit[b] = H(sum(H([mem_bit, sel] * and_w) + and_b) * or_w + or_b)
write: new = H(H([old, nsel] * and_old) + H([data, sel] * and_new) - 1)
SIGNAL REGISTRY
---------------
Signal IDs are stored in safetensors metadata as JSON:
{"0": "#0", "1": "#1", "2": "$a", "3": "$b", ...}
Each gate's .inputs tensor contains integer IDs referencing this registry.
NAMING CONVENTIONS
------------------
- External inputs: $name or $name[bit]
- Constants: #0, #1
- Internal gates: relative path from circuit root
"""
from __future__ import annotations
import argparse
import json
import re
from pathlib import Path
from typing import Dict, Iterable, List, Set
import torch
from safetensors import safe_open
from safetensors.torch import save_file
MODEL_DIR = Path(__file__).resolve().parent
def get_model_path(bits: int = 8, memory_profile: str = None, addr_bits: int = None) -> Path:
"""Generate model filename based on configuration."""
if addr_bits is not None:
if addr_bits == 0:
has_memory = False
mem_suffix = ""
else:
has_memory = True
mem_suffix = f"_addr{addr_bits}"
elif memory_profile == "none":
has_memory = False
mem_suffix = ""
elif memory_profile == "full" or memory_profile is None:
has_memory = True
mem_suffix = ""
else:
has_memory = True
mem_suffix = f"_{memory_profile}"
base = "neural_alu" if not has_memory else "neural_computer"
return MODEL_DIR / f"{base}{bits}{mem_suffix}.safetensors"
MODEL_PATH = MODEL_DIR / "neural_computer8.safetensors"
MANIFEST_PATH = Path(__file__).resolve().parent / "tensors.txt"
DEFAULT_ADDR_BITS = 16
DEFAULT_MEM_BYTES = 1 << DEFAULT_ADDR_BITS
MEMORY_PROFILES = {
"full": 16, # 64KB - full CPU mode
"reduced": 12, # 4KB - reduced CPU
"small": 10, # 1KB - 32-bit arithmetic scratch
"scratchpad": 8, # 256 bytes - LLM scratchpad
"registers": 4, # 16 bytes - LLM register file
"none": 0, # Pure ALU, no memory
}
SUPPORTED_BITS = [8, 16, 32]
def load_tensors(path: Path) -> Dict[str, torch.Tensor]:
tensors: Dict[str, torch.Tensor] = {}
with safe_open(str(path), framework="pt") as f:
for name in f.keys():
tensors[name] = f.get_tensor(name).clone()
return tensors
def get_all_gates(tensors: Dict[str, torch.Tensor]) -> Set[str]:
gates = set()
for name in tensors:
if name.endswith('.weight'):
gates.add(name[:-7])
return gates
class SignalRegistry:
def __init__(self):
self.name_to_id: Dict[str, int] = {}
self.id_to_name: Dict[int, str] = {}
self.next_id = 0
self.register("#0")
self.register("#1")
def register(self, name: str) -> int:
if name not in self.name_to_id:
self.name_to_id[name] = self.next_id
self.id_to_name[self.next_id] = name
self.next_id += 1
return self.name_to_id[name]
def get_id(self, name: str) -> int:
return self.name_to_id.get(name, -1)
def to_metadata(self) -> str:
return json.dumps(self.id_to_name)
def add_gate(tensors: Dict[str, torch.Tensor], name: str, weight: Iterable[float], bias: Iterable[float]) -> None:
w_key = f"{name}.weight"
b_key = f"{name}.bias"
if w_key in tensors or b_key in tensors:
raise ValueError(f"Gate already exists: {name}")
tensors[w_key] = torch.tensor(list(weight), dtype=torch.float32)
tensors[b_key] = torch.tensor(list(bias), dtype=torch.float32)
def drop_prefixes(tensors: Dict[str, torch.Tensor], prefixes: List[str]) -> None:
for key in list(tensors.keys()):
if any(key.startswith(prefix) for prefix in prefixes):
del tensors[key]
def add_decoder(tensors: Dict[str, torch.Tensor], addr_bits: int, mem_bytes: int) -> None:
weights = torch.empty((mem_bytes, addr_bits), dtype=torch.float32)
bias = torch.empty((mem_bytes,), dtype=torch.float32)
for addr in range(mem_bytes):
bits = [(addr >> (addr_bits - 1 - i)) & 1 for i in range(addr_bits)]
weights[addr] = torch.tensor([1.0 if bit == 1 else -1.0 for bit in bits], dtype=torch.float32)
bias[addr] = -float(sum(bits))
tensors["memory.addr_decode.weight"] = weights
tensors["memory.addr_decode.bias"] = bias
def add_memory_read_mux(tensors: Dict[str, torch.Tensor], mem_bytes: int) -> None:
and_weight = torch.ones((8, mem_bytes, 2), dtype=torch.float32)
and_bias = torch.full((8, mem_bytes), -2.0, dtype=torch.float32)
or_weight = torch.ones((8, mem_bytes), dtype=torch.float32)
or_bias = torch.full((8,), -1.0, dtype=torch.float32)
tensors["memory.read.and.weight"] = and_weight
tensors["memory.read.and.bias"] = and_bias
tensors["memory.read.or.weight"] = or_weight
tensors["memory.read.or.bias"] = or_bias
def add_memory_write_cells(tensors: Dict[str, torch.Tensor], mem_bytes: int) -> None:
sel_weight = torch.ones((mem_bytes, 2), dtype=torch.float32)
sel_bias = torch.full((mem_bytes,), -2.0, dtype=torch.float32)
nsel_weight = torch.full((mem_bytes, 1), -1.0, dtype=torch.float32)
nsel_bias = torch.zeros((mem_bytes,), dtype=torch.float32)
and_old_weight = torch.ones((mem_bytes, 8, 2), dtype=torch.float32)
and_old_bias = torch.full((mem_bytes, 8), -2.0, dtype=torch.float32)
and_new_weight = torch.ones((mem_bytes, 8, 2), dtype=torch.float32)
and_new_bias = torch.full((mem_bytes, 8), -2.0, dtype=torch.float32)
or_weight = torch.ones((mem_bytes, 8, 2), dtype=torch.float32)
or_bias = torch.full((mem_bytes, 8), -1.0, dtype=torch.float32)
tensors["memory.write.sel.weight"] = sel_weight
tensors["memory.write.sel.bias"] = sel_bias
tensors["memory.write.nsel.weight"] = nsel_weight
tensors["memory.write.nsel.bias"] = nsel_bias
tensors["memory.write.and_old.weight"] = and_old_weight
tensors["memory.write.and_old.bias"] = and_old_bias
tensors["memory.write.and_new.weight"] = and_new_weight
tensors["memory.write.and_new.bias"] = and_new_bias
tensors["memory.write.or.weight"] = or_weight
tensors["memory.write.or.bias"] = or_bias
def add_fetch_load_store_buffers(tensors: Dict[str, torch.Tensor], data_bits: int, addr_bits: int) -> None:
"""Add control buffers for fetch, load, store operations.
Args:
data_bits: Width of data bus (8/16/32)
addr_bits: Width of address bus (determines instruction register width)
"""
# Instruction register width = opcode (8) + operands (depends on arch)
# For simplicity, IR width = max(16, addr_bits) to hold jump targets
ir_bits = max(16, addr_bits)
for bit in range(ir_bits):
add_gate(tensors, f"control.fetch.ir.bit{bit}", [1.0], [-1.0])
for bit in range(data_bits):
add_gate(tensors, f"control.load.bit{bit}", [1.0], [-1.0])
add_gate(tensors, f"control.store.bit{bit}", [1.0], [-1.0])
for bit in range(addr_bits):
add_gate(tensors, f"control.mem_addr.bit{bit}", [1.0], [-1.0])
def add_full_adder(tensors: Dict[str, torch.Tensor], prefix: str) -> None:
"""Add a single full adder at the given prefix.
Full adder structure:
- ha1: first half adder (A XOR B for sum, A AND B for carry)
- ha2: second half adder (ha1.sum XOR Cin for sum, ha1.sum AND Cin for carry)
- carry_or: OR of ha1.carry and ha2.carry for final carry out
"""
# XOR for ha1.sum (2-layer: OR + NAND -> AND)
add_gate(tensors, f"{prefix}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
# AND for ha1.carry
add_gate(tensors, f"{prefix}.ha1.carry", [1.0, 1.0], [-2.0])
# XOR for ha2.sum
add_gate(tensors, f"{prefix}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
# AND for ha2.carry
add_gate(tensors, f"{prefix}.ha2.carry", [1.0, 1.0], [-2.0])
# OR for final carry
add_gate(tensors, f"{prefix}.carry_or", [1.0, 1.0], [-1.0])
def add_expr_add_mul(tensors: Dict[str, torch.Tensor]) -> None:
"""Add expression circuit for A + B × C (order of operations).
Computes A + (B × C) where multiplication has higher precedence.
Structure:
- Stage 1: Multiply B × C using shift-add algorithm
- 8 mask stages: mask[i] = B AND C[i] (8 AND gates each, shifted)
- 7 accumulator adders to sum masked values
- Stage 2: Add A to multiplication result (8-bit ripple carry)
Inputs: $a[0-7], $b[0-7], $c[0-7] (MSB-first, 8-bit each)
Output: 8-bit result of A + (B × C), wrapping on overflow
Total: 64 AND gates + 7×8 full adders (mul) + 8 full adders (add) = ~640 gates
"""
prefix = "arithmetic.expr_add_mul"
# Stage 1: Multiply B × C using shift-add
# For each bit i of C, we AND all bits of B with C[i]
# This creates partial products that are shifted by i positions
# Mask AND gates: mask[stage][bit] = B[bit] AND C[stage]
# These compute B & (C[i] ? 0xFF : 0x00) for each bit of C
for stage in range(8):
for bit in range(8):
add_gate(tensors, f"{prefix}.mul.mask.s{stage}.b{bit}", [1.0, 1.0], [-2.0])
# Accumulator adders for shift-add multiplication
# Stage 0: acc = mask0 (no adder needed, just the masked value)
# Stage 1-7: acc = acc + (mask[i] << i)
# We need to handle the shifting by connecting different bit positions
# For proper shift-add, we need adders that accumulate partial products
# Each stage adds a shifted partial product to the accumulator
# Using 16-bit internal accumulator, output low 8 bits
# Simplified approach: chain of 8-bit adders with proper bit alignment
# acc_stage[i] = acc_stage[i-1] + (mask[i] << i)
# We keep only low 8 bits at each stage for 8-bit result
for stage in range(1, 8): # 7 accumulator adders
for bit in range(8):
add_full_adder(tensors, f"{prefix}.mul.acc.s{stage}.fa{bit}")
# Stage 2: Add A to multiplication result
for bit in range(8):
add_full_adder(tensors, f"{prefix}.add.fa{bit}")
def add_expr_paren_add_mul(tensors: Dict[str, torch.Tensor]) -> None:
"""Add expression circuit for (A + B) × C (parenthetical override).
Computes (A + B) × C where parentheses override normal precedence.
Addition happens first, then multiplication.
Structure:
- Stage 1: Add A + B (8-bit ripple carry adder)
- Stage 2: Multiply sum × C using shift-add algorithm
- 8 mask stages: mask[i] = sum AND C[i] (8 AND gates each)
- 7 accumulator adders to sum shifted masked values
Inputs: $a[0-7], $b[0-7], $c[0-7] (MSB-first, 8-bit each)
Output: 8-bit result of (A + B) × C, wrapping on overflow
Total: 8 full adders (add) + 64 AND gates + 56 full adders (mul) = ~640 gates
"""
prefix = "arithmetic.expr_paren_add_mul"
# Stage 1: Add A + B
for bit in range(8):
add_full_adder(tensors, f"{prefix}.add.fa{bit}")
# Stage 2: Multiply sum × C using shift-add
# Mask AND gates: mask[stage][bit] = sum[bit] AND C[stage]
for stage in range(8):
for bit in range(8):
add_gate(tensors, f"{prefix}.mul.mask.s{stage}.b{bit}", [1.0, 1.0], [-2.0])
# Accumulator adders for shift-add multiplication
for stage in range(1, 8): # 7 accumulator adders
for bit in range(8):
add_full_adder(tensors, f"{prefix}.mul.acc.s{stage}.fa{bit}")
def add_expr_paren(tensors: Dict[str, torch.Tensor]) -> None:
"""Add expression circuit for (A + B) × C (parenthetical grouping).
Computes (A + B) × C where addition happens first due to parentheses.
Structure:
- Stage 1: Add A + B (8-bit ripple carry)
- Stage 2: Multiply sum × C using shift-add algorithm
- 8 mask stages: mask[i] = sum AND C[i] (8 AND gates each)
- 7 accumulator adders to sum shifted masked values
Inputs: $a[0-7], $b[0-7], $c[0-7] (MSB-first, 8-bit each)
Output: 8-bit result of (A + B) × C, wrapping on overflow
Total: 8 full adders (add) + 64 AND gates + 56 full adders (mul) = ~640 gates
"""
prefix = "arithmetic.expr_paren"
# Stage 1: Add A + B
for bit in range(8):
add_full_adder(tensors, f"{prefix}.add.fa{bit}")
# Stage 2: Multiply sum × C using shift-add
# Mask AND gates: mask[stage][bit] = sum[bit] AND C[stage]
for stage in range(8):
for bit in range(8):
add_gate(tensors, f"{prefix}.mul.mask.s{stage}.b{bit}", [1.0, 1.0], [-2.0])
# Accumulator adders for shift-add multiplication
for stage in range(1, 8): # 7 accumulator adders
for bit in range(8):
add_full_adder(tensors, f"{prefix}.mul.acc.s{stage}.fa{bit}")
def add_add3(tensors: Dict[str, torch.Tensor]) -> None:
"""Add 3-operand 8-bit adder circuit.
Computes A + B + C using two chained ripple-carry stages:
- Stage 1: temp = A + B (8 full adders)
- Stage 2: result = temp + C (8 full adders)
Inputs: $a[0-7], $b[0-7], $c[0-7] (MSB-first)
Outputs: stage2.fa0-7.ha2.sum.layer2 (result bits), stage2.fa7.carry_or (overflow)
Total: 16 full adders = 144 gates
"""
# Stage 1: A + B -> temp
for bit in range(8):
add_full_adder(tensors, f"arithmetic.add3_8bit.stage1.fa{bit}")
# Stage 2: temp + C -> result
for bit in range(8):
add_full_adder(tensors, f"arithmetic.add3_8bit.stage2.fa{bit}")
def add_shl_shr(tensors: Dict[str, torch.Tensor]) -> None:
"""Add SHL (shift left) and SHR (shift right) circuits.
Identity gate: w=2, b=-1 -> H(x*2 - 1) = x for x in {0,1}
Zero gate: w=0, b=-1 -> H(-1) = 0
SHL (MSB-first): out[i] = in[i+1] for i<7, out[7] = 0
SHR (MSB-first): out[0] = 0, out[i] = in[i-1] for i>0
"""
for bit in range(8):
if bit < 7:
add_gate(tensors, f"alu.alu8bit.shl.bit{bit}", [2.0], [-1.0])
else:
add_gate(tensors, f"alu.alu8bit.shl.bit{bit}", [0.0], [-1.0])
for bit in range(8):
if bit > 0:
add_gate(tensors, f"alu.alu8bit.shr.bit{bit}", [2.0], [-1.0])
else:
add_gate(tensors, f"alu.alu8bit.shr.bit{bit}", [0.0], [-1.0])
def add_mul(tensors: Dict[str, torch.Tensor]) -> None:
"""Add 8-bit multiplication circuit.
Produces low 8 bits of the 16-bit result.
Structure:
- 64 AND gates for partial products P[i][j] = A[i] AND B[j]
- Uses existing ripple-carry adder components for summation
The multiply method in ThresholdALU computes:
1. Partial products via these AND gates
2. Shift-add accumulation via existing 8-bit adder
"""
# AND gates for partial products: P[i][j] = A[i] AND B[j]
# These compute whether bit i of A and bit j of B are both 1
for i in range(8):
for j in range(8):
add_gate(tensors, f"alu.alu8bit.mul.pp.a{i}b{j}", [1.0, 1.0], [-2.0])
def add_div(tensors: Dict[str, torch.Tensor]) -> None:
"""Add 8-bit division circuit.
Produces quotient (8 bits) and remainder (8 bits).
Uses restoring division algorithm:
- 8 iterations, each producing one quotient bit
- Each iteration: compare, conditionally subtract, shift
Structure:
- 8 comparison gates (one per iteration)
- 8 conditional subtraction stages
- Uses existing comparator and subtractor components
"""
# Comparison gates: check if (remainder << 1 | next_bit) >= divisor
for stage in range(8):
add_gate(tensors, f"alu.alu8bit.div.stage{stage}.cmp",
[128.0, 64.0, 32.0, 16.0, 8.0, 4.0, 2.0, 1.0,
-128.0, -64.0, -32.0, -16.0, -8.0, -4.0, -2.0, -1.0], [0.0])
# Conditional mux gates: select (rem - div) or rem based on comparison
for stage in range(8):
for bit in range(8):
# NOT for inverting comparison result
add_gate(tensors, f"alu.alu8bit.div.stage{stage}.mux.bit{bit}.not_sel", [-1.0], [0.0])
# AND gates for mux
add_gate(tensors, f"alu.alu8bit.div.stage{stage}.mux.bit{bit}.and_a", [1.0, 1.0], [-2.0])
add_gate(tensors, f"alu.alu8bit.div.stage{stage}.mux.bit{bit}.and_b", [1.0, 1.0], [-2.0])
# OR gate for mux output
add_gate(tensors, f"alu.alu8bit.div.stage{stage}.mux.bit{bit}.or", [1.0, 1.0], [-1.0])
def add_inc_dec(tensors: Dict[str, torch.Tensor]) -> None:
"""Add INC and DEC circuits.
INC: A + 1 using half adders with carry chain
DEC: A - 1 using borrow chain (A + 255, two's complement of 1)
For INC, we add 1 to the LSB and propagate carry.
For DEC, we add 0xFF (two's complement of 1) or use borrow logic.
"""
# INC: half adder chain starting with carry_in = 1
# bit 7 (LSB): XOR with 1, carry = bit[7]
# bit 6: XOR with carry, new_carry = bit[6] AND old_carry
# ...
for bit in range(8):
# XOR for sum (two-layer)
add_gate(tensors, f"alu.alu8bit.inc.bit{bit}.xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"alu.alu8bit.inc.bit{bit}.xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"alu.alu8bit.inc.bit{bit}.xor.layer2", [1.0, 1.0], [-2.0])
# AND for carry propagation
add_gate(tensors, f"alu.alu8bit.inc.bit{bit}.carry", [1.0, 1.0], [-2.0])
# DEC: similar but with borrow logic
# Equivalent to adding 0xFF with carry_in = 0
# Or: NOT each bit, propagate borrow
for bit in range(8):
# XOR for difference
add_gate(tensors, f"alu.alu8bit.dec.bit{bit}.xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"alu.alu8bit.dec.bit{bit}.xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"alu.alu8bit.dec.bit{bit}.xor.layer2", [1.0, 1.0], [-2.0])
# Borrow: NOT(A) AND borrow_in, equivalent to (NOT A) when borrow_in=1
add_gate(tensors, f"alu.alu8bit.dec.bit{bit}.not_a", [-1.0], [0.0])
add_gate(tensors, f"alu.alu8bit.dec.bit{bit}.borrow", [1.0, 1.0], [-2.0])
def add_neg(tensors: Dict[str, torch.Tensor]) -> None:
"""Add NEG circuit (two's complement negation).
NEG(A) = NOT(A) + 1 = ~A + 1
Structure: NOT gates followed by INC-style adder.
"""
for bit in range(8):
# NOT gate for each bit
add_gate(tensors, f"alu.alu8bit.neg.not.bit{bit}", [-1.0], [0.0])
# Then add 1 using half adder chain
add_gate(tensors, f"alu.alu8bit.neg.inc.bit{bit}.xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"alu.alu8bit.neg.inc.bit{bit}.xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"alu.alu8bit.neg.inc.bit{bit}.xor.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"alu.alu8bit.neg.inc.bit{bit}.carry", [1.0, 1.0], [-2.0])
def add_rol_ror(tensors: Dict[str, torch.Tensor]) -> None:
"""Add 8-bit ROL and ROR circuits (legacy wrapper)."""
add_rol_ror_nbits(tensors, 8)
def add_rol_ror_nbits(tensors: Dict[str, torch.Tensor], bits: int) -> None:
"""Add N-bit ROL and ROR circuits (rotate left/right).
ROL: out[i] = in[i+1] for i<N-1, out[N-1] = in[0] (MSB wraps to LSB)
ROR: out[0] = in[N-1], out[i] = in[i-1] for i>0 (LSB wraps to MSB)
Args:
bits: Data width (8, 16, 32, etc.)
"""
# ROL: rotate left (toward MSB)
for bit in range(bits):
add_gate(tensors, f"alu.alu{bits}bit.rol.bit{bit}", [2.0], [-1.0])
# ROR: rotate right (toward LSB)
for bit in range(bits):
add_gate(tensors, f"alu.alu{bits}bit.ror.bit{bit}", [2.0], [-1.0])
def add_stack_ops(tensors: Dict[str, torch.Tensor], data_bits: int, addr_bits: int) -> None:
"""Add RET, PUSH, POP circuit components.
These are higher-level operations that use memory read/write.
We create the control logic gates.
Args:
data_bits: Width of data to push/pop (8/16/32)
addr_bits: Width of stack pointer and return addresses
RET: Pop return address from stack, jump to it
PUSH: Decrement SP, write value to [SP]
POP: Read value from [SP], increment SP
"""
# SP decrement for PUSH (addr_bits wide)
for bit in range(addr_bits):
add_gate(tensors, f"control.push.sp_dec.bit{bit}.xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"control.push.sp_dec.bit{bit}.xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"control.push.sp_dec.bit{bit}.xor.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"control.push.sp_dec.bit{bit}.borrow", [1.0, 1.0], [-2.0])
# SP increment for POP (addr_bits wide)
for bit in range(addr_bits):
add_gate(tensors, f"control.pop.sp_inc.bit{bit}.xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"control.pop.sp_inc.bit{bit}.xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"control.pop.sp_inc.bit{bit}.xor.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"control.pop.sp_inc.bit{bit}.carry", [1.0, 1.0], [-2.0])
# Data buffers for PUSH (data_bits wide)
for bit in range(data_bits):
add_gate(tensors, f"control.push.data.bit{bit}", [2.0], [-1.0])
# Data buffers for POP (data_bits wide)
for bit in range(data_bits):
add_gate(tensors, f"control.pop.data.bit{bit}", [2.0], [-1.0])
# RET: Buffer gates for return address (addr_bits wide)
for bit in range(addr_bits):
add_gate(tensors, f"control.ret.addr.bit{bit}", [2.0], [-1.0])
def add_conditional_jumps(tensors: Dict[str, torch.Tensor], addr_bits: int) -> None:
"""Add conditional jump circuits (JZ, JNZ, JC, JNC, JP, JN, JV, JNV).
Each conditional jump is a 2:1 MUX per address bit:
- If flag is set: output = target_bit
- If flag is clear: output = pc_bit
Structure per bit:
- not_sel: NOT(flag)
- and_a: pc_bit AND NOT(flag)
- and_b: target_bit AND flag
- or: and_a OR and_b
Args:
addr_bits: Width of program counter / jump target
"""
jump_types = ['jz', 'jnz', 'jc', 'jnc', 'jp', 'jn', 'jv', 'jnv']
for jmp in jump_types:
for bit in range(addr_bits):
prefix = f"control.{jmp}.bit{bit}"
# NOT sel (invert flag)
add_gate(tensors, f"{prefix}.not_sel", [-1.0], [0.0])
# AND a: pc_bit AND NOT(flag)
add_gate(tensors, f"{prefix}.and_a", [1.0, 1.0], [-2.0])
# AND b: target_bit AND flag
add_gate(tensors, f"{prefix}.and_b", [1.0, 1.0], [-2.0])
# OR: combine
add_gate(tensors, f"{prefix}.or", [1.0, 1.0], [-1.0])
def add_status_flags(tensors: Dict[str, torch.Tensor], data_bits: int) -> None:
"""Add status flag computation circuits (Z, N, C, V).
Args:
data_bits: Width of ALU data (8/16/32)
Flags:
- Z (Zero): NOR of all result bits (1 if result == 0)
- N (Negative): Copy of MSB (sign bit)
- C (Carry): Carry out from adder (external input)
- V (Overflow): XOR of carry into and out of MSB (signed overflow)
"""
# Z flag: NOR of all bits (result == 0)
# Single threshold gate: fires if sum of all bits < 1
add_gate(tensors, "flags.zero", [-1.0] * data_bits, [0.0])
# N flag: Buffer for MSB (sign bit)
add_gate(tensors, "flags.negative", [2.0], [-1.0])
# C flag: Buffer for carry out (input from adder)
add_gate(tensors, "flags.carry", [2.0], [-1.0])
# V flag: XOR of carry_in_msb and carry_out_msb
# Two-layer XOR: (A OR B) AND (A NAND B)
add_gate(tensors, "flags.overflow.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, "flags.overflow.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, "flags.overflow.layer2", [1.0, 1.0], [-2.0])
def add_barrel_shifter(tensors: Dict[str, torch.Tensor]) -> None:
"""Add 8-bit barrel shifter circuit (legacy wrapper)."""
add_barrel_shifter_nbits(tensors, 8)
def add_barrel_shifter_nbits(tensors: Dict[str, torch.Tensor], bits: int) -> None:
"""Add N-bit barrel shifter circuit.
Shifts input by 0 to (bits-1) positions based on ceil(log2(bits))-bit shift amount.
Uses layers of 2:1 muxes controlled by shift amount bits.
Args:
bits: Data width (8, 16, 32, etc.)
"""
import math
num_layers = max(1, math.ceil(math.log2(bits)))
for layer in range(num_layers):
shift_amount = 1 << (num_layers - 1 - layer)
for bit in range(bits):
prefix = f"combinational.barrelshifter{bits}.layer{layer}.bit{bit}"
# 2:1 mux: if sel then shifted else original
add_gate(tensors, f"{prefix}.not_sel", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.and_a", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.and_b", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.or", [1.0, 1.0], [-1.0])
def add_priority_encoder(tensors: Dict[str, torch.Tensor]) -> None:
"""Add 8-bit priority encoder circuit (legacy wrapper)."""
add_priority_encoder_nbits(tensors, 8)
def add_priority_encoder_nbits(tensors: Dict[str, torch.Tensor], bits: int) -> None:
"""Add N-bit priority encoder circuit.
Finds the position of the highest set bit (0 to bits-1).
Position 0 = MSB (highest priority), Position bits-1 = LSB (lowest priority).
Output is ceil(log2(bits))-bit index + valid flag.
Circuit structure:
1. any_higher{pos}: OR of bits 0 to pos-1 (all higher-priority positions)
2. is_highest{pos}: bit[pos] AND NOT(any_higher{pos})
3. out{bit}: OR of is_highest{pos} for positions where (pos >> bit) & 1
4. valid: OR of all input bits
Args:
bits: Input width (8, 16, 32, etc.)
"""
import math
out_bits = max(1, math.ceil(math.log2(bits)))
prefix = f"combinational.priorityencoder{bits}"
# any_higher{pos}: OR of all bits at positions 0 to pos-1 (higher priority)
# any_higher{0} not needed (no higher bits)
# any_higher{1} = bit[0]
# any_higher{N} = bit[0] OR bit[1] OR ... OR bit[N-1]
for pos in range(1, bits):
weights = [1.0] * pos
add_gate(tensors, f"{prefix}.any_higher{pos}", weights, [-1.0])
# is_highest{pos}: bit[pos] is set AND no higher-priority bit is set
# is_highest{0} = bit[0] (always highest if set)
# is_highest{pos} = bit[pos] AND NOT(any_higher{pos}) for pos > 0
for pos in range(1, bits):
add_gate(tensors, f"{prefix}.is_highest{pos}.not_higher", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.is_highest{pos}.and", [1.0, 1.0], [-2.0])
# Encode position to output bits
# out{bit} = OR of is_highest{pos} for all pos where (pos >> bit) & 1
for out_bit in range(out_bits):
weights = []
for pos in range(bits):
if (pos >> out_bit) & 1:
weights.append(1.0)
if weights:
add_gate(tensors, f"{prefix}.out{out_bit}", weights, [-1.0])
# Valid flag: any bit set
add_gate(tensors, f"{prefix}.valid", [1.0] * bits, [-1.0])
def add_comparators(tensors: Dict[str, torch.Tensor]) -> None:
"""Add 8-bit comparator circuits (GT, LT, GE, LE, EQ).
Each comparator takes 16 inputs (8 bits from A, 8 bits from B) in MSB-first order.
Uses weighted sum comparison on the binary representation.
For unsigned comparison of A vs B:
- Assign positional weights: bit i has weight 2^(7-i)
- A > B: sum(a_i * w_i) > sum(b_i * w_i)
- This becomes: sum(a_i * w_i - b_i * w_i) > 0
- Or: sum((a_i - b_i) * w_i) > 0
Threshold gate: H(sum(x_i * w_i) + b) = 1 if sum >= -b
For A > B: weights = [128, 64, 32, 16, 8, 4, 2, 1, -128, -64, -32, -16, -8, -4, -2, -1]
bias = -1 (strictly greater, so need sum >= 1)
For A >= B: bias = 0 (sum >= 0)
For A < B: flip weights, bias = -1
For A <= B: flip weights, bias = 0
For A == B: need A >= B AND A <= B (two-layer)
"""
pos_weights = [128.0, 64.0, 32.0, 16.0, 8.0, 4.0, 2.0, 1.0]
neg_weights = [-128.0, -64.0, -32.0, -16.0, -8.0, -4.0, -2.0, -1.0]
gt_weights = pos_weights + neg_weights
lt_weights = neg_weights + pos_weights
add_gate(tensors, "arithmetic.greaterthan8bit", gt_weights, [-1.0])
add_gate(tensors, "arithmetic.greaterorequal8bit", gt_weights, [0.0])
add_gate(tensors, "arithmetic.lessthan8bit", lt_weights, [-1.0])
add_gate(tensors, "arithmetic.lessorequal8bit", lt_weights, [0.0])
add_gate(tensors, "arithmetic.equality8bit.layer1.geq", gt_weights, [0.0])
add_gate(tensors, "arithmetic.equality8bit.layer1.leq", lt_weights, [0.0])
add_gate(tensors, "arithmetic.equality8bit.layer2", [1.0, 1.0], [-2.0])
def add_ripple_carry_nbits(tensors: Dict[str, torch.Tensor], bits: int) -> None:
"""Add N-bit ripple carry adder circuit.
Creates a chain of full adders for N-bit addition.
Works for 8, 16, or 32 bits.
Inputs: $a[0..N-1], $b[0..N-1] (MSB-first)
Outputs: fa0-fa{N-1} sum bits, fa{N-1}.carry_or for overflow
"""
prefix = f"arithmetic.ripplecarry{bits}bit"
for bit in range(bits):
add_full_adder(tensors, f"{prefix}.fa{bit}")
def add_sub_nbits(tensors: Dict[str, torch.Tensor], bits: int) -> None:
"""Add N-bit subtractor circuit (A - B).
Uses two's complement: A - B = A + (~B) + 1
Structure:
- NOT gates for each bit of B
- N-bit ripple carry adder with carry_in = 1
The carry_in=1 is handled by the adder's fa0 having cin=#1 instead of #0.
"""
prefix = f"arithmetic.sub{bits}bit"
for bit in range(bits):
add_gate(tensors, f"{prefix}.not_b.bit{bit}", [-1.0], [0.0])
for bit in range(bits):
add_full_adder(tensors, f"{prefix}.fa{bit}")
def add_comparators_nbits(tensors: Dict[str, torch.Tensor], bits: int) -> None:
"""Add N-bit comparator circuits (GT, LT, GE, LE, EQ).
For bits <= 16: Use single-layer weighted comparison (float32 safe).
For bits > 16: Use cascaded byte-wise comparison to avoid float32 precision loss.
Cascaded approach compares byte-by-byte from MSB:
A > B iff: (A[31:24] > B[31:24]) OR
(A[31:24] == B[31:24] AND A[23:16] > B[23:16]) OR ...
"""
if bits <= 16:
pos_weights = [float(1 << (bits - 1 - i)) for i in range(bits)]
neg_weights = [-w for w in pos_weights]
gt_weights = pos_weights + neg_weights
lt_weights = neg_weights + pos_weights
add_gate(tensors, f"arithmetic.greaterthan{bits}bit", gt_weights, [-1.0])
add_gate(tensors, f"arithmetic.greaterorequal{bits}bit", gt_weights, [0.0])
add_gate(tensors, f"arithmetic.lessthan{bits}bit", lt_weights, [-1.0])
add_gate(tensors, f"arithmetic.lessorequal{bits}bit", lt_weights, [0.0])
add_gate(tensors, f"arithmetic.equality{bits}bit.layer1.geq", gt_weights, [0.0])
add_gate(tensors, f"arithmetic.equality{bits}bit.layer1.leq", lt_weights, [0.0])
add_gate(tensors, f"arithmetic.equality{bits}bit.layer2", [1.0, 1.0], [-2.0])
else:
num_bytes = bits // 8
prefix = f"arithmetic.cmp{bits}bit"
byte_pos_weights = [128.0, 64.0, 32.0, 16.0, 8.0, 4.0, 2.0, 1.0]
byte_neg_weights = [-128.0, -64.0, -32.0, -16.0, -8.0, -4.0, -2.0, -1.0]
byte_gt_weights = byte_pos_weights + byte_neg_weights
byte_lt_weights = byte_neg_weights + byte_pos_weights
for b in range(num_bytes):
add_gate(tensors, f"{prefix}.byte{b}.gt", byte_gt_weights, [-1.0])
add_gate(tensors, f"{prefix}.byte{b}.lt", byte_lt_weights, [-1.0])
add_gate(tensors, f"{prefix}.byte{b}.eq.geq", byte_gt_weights, [0.0])
add_gate(tensors, f"{prefix}.byte{b}.eq.leq", byte_lt_weights, [0.0])
add_gate(tensors, f"{prefix}.byte{b}.eq.and", [1.0, 1.0], [-2.0])
for b in range(num_bytes):
if b == 0:
add_gate(tensors, f"{prefix}.cascade.gt.stage{b}", [1.0], [-1.0])
add_gate(tensors, f"{prefix}.cascade.lt.stage{b}", [1.0], [-1.0])
else:
eq_weights = [1.0] * b
add_gate(tensors, f"{prefix}.cascade.gt.stage{b}.all_eq", eq_weights, [-float(b)])
add_gate(tensors, f"{prefix}.cascade.gt.stage{b}.and", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.cascade.lt.stage{b}.all_eq", eq_weights, [-float(b)])
add_gate(tensors, f"{prefix}.cascade.lt.stage{b}.and", [1.0, 1.0], [-2.0])
or_weights_gt = [1.0] * num_bytes
or_weights_lt = [1.0] * num_bytes
add_gate(tensors, f"arithmetic.greaterthan{bits}bit", or_weights_gt, [-1.0])
add_gate(tensors, f"arithmetic.lessthan{bits}bit", or_weights_lt, [-1.0])
not_lt_weights = [-1.0]
add_gate(tensors, f"arithmetic.greaterorequal{bits}bit.not_lt", not_lt_weights, [0.0])
add_gate(tensors, f"arithmetic.greaterorequal{bits}bit", [1.0], [-1.0])
not_gt_weights = [-1.0]
add_gate(tensors, f"arithmetic.lessorequal{bits}bit.not_gt", not_gt_weights, [0.0])
add_gate(tensors, f"arithmetic.lessorequal{bits}bit", [1.0], [-1.0])
eq_all_weights = [1.0] * num_bytes
add_gate(tensors, f"arithmetic.equality{bits}bit", eq_all_weights, [-float(num_bytes)])
def add_mul_nbits(tensors: Dict[str, torch.Tensor], bits: int) -> None:
"""Add N-bit multiplication circuit.
Produces low N bits of the 2N-bit result.
Structure:
- N*N AND gates for partial products P[i][j] = A[i] AND B[j]
- Shift-add accumulation using existing adder circuits
For 32-bit: 1024 AND gates for partial products.
"""
for i in range(bits):
for j in range(bits):
add_gate(tensors, f"alu.alu{bits}bit.mul.pp.a{i}b{j}", [1.0, 1.0], [-2.0])
def add_div_nbits(tensors: Dict[str, torch.Tensor], bits: int) -> None:
"""Add N-bit division circuit.
Uses restoring division algorithm with N iterations.
"""
pos_weights = [float(1 << (bits - 1 - i)) for i in range(bits)]
neg_weights = [-w for w in pos_weights]
cmp_weights = pos_weights + neg_weights
for stage in range(bits):
add_gate(tensors, f"alu.alu{bits}bit.div.stage{stage}.cmp", cmp_weights, [0.0])
for stage in range(bits):
for bit in range(bits):
add_gate(tensors, f"alu.alu{bits}bit.div.stage{stage}.mux.bit{bit}.not_sel", [-1.0], [0.0])
add_gate(tensors, f"alu.alu{bits}bit.div.stage{stage}.mux.bit{bit}.and_a", [1.0, 1.0], [-2.0])
add_gate(tensors, f"alu.alu{bits}bit.div.stage{stage}.mux.bit{bit}.and_b", [1.0, 1.0], [-2.0])
add_gate(tensors, f"alu.alu{bits}bit.div.stage{stage}.mux.bit{bit}.or", [1.0, 1.0], [-1.0])
def add_bitwise_nbits(tensors: Dict[str, torch.Tensor], bits: int) -> None:
"""Add N-bit bitwise operation circuits (AND, OR, XOR, NOT).
These are simply N copies of the 1-bit gates.
"""
for bit in range(bits):
add_gate(tensors, f"alu.alu{bits}bit.and.bit{bit}", [1.0, 1.0], [-2.0])
for bit in range(bits):
add_gate(tensors, f"alu.alu{bits}bit.or.bit{bit}", [1.0, 1.0], [-1.0])
for bit in range(bits):
add_gate(tensors, f"alu.alu{bits}bit.xor.bit{bit}.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"alu.alu{bits}bit.xor.bit{bit}.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"alu.alu{bits}bit.xor.bit{bit}.layer2", [1.0, 1.0], [-2.0])
for bit in range(bits):
add_gate(tensors, f"alu.alu{bits}bit.not.bit{bit}", [-1.0], [0.0])
def add_shift_nbits(tensors: Dict[str, torch.Tensor], bits: int) -> None:
"""Add N-bit shift circuits (SHL, SHR by 1 position).
SHL: out[i] = in[i+1] for i<N-1, out[N-1] = 0
SHR: out[0] = 0, out[i] = in[i-1] for i>0
"""
for bit in range(bits):
if bit < bits - 1:
add_gate(tensors, f"alu.alu{bits}bit.shl.bit{bit}", [2.0], [-1.0])
else:
add_gate(tensors, f"alu.alu{bits}bit.shl.bit{bit}", [0.0], [-1.0])
for bit in range(bits):
if bit > 0:
add_gate(tensors, f"alu.alu{bits}bit.shr.bit{bit}", [2.0], [-1.0])
else:
add_gate(tensors, f"alu.alu{bits}bit.shr.bit{bit}", [0.0], [-1.0])
def add_inc_dec_nbits(tensors: Dict[str, torch.Tensor], bits: int) -> None:
"""Add N-bit INC and DEC circuits."""
for bit in range(bits):
add_gate(tensors, f"alu.alu{bits}bit.inc.bit{bit}.xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"alu.alu{bits}bit.inc.bit{bit}.xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"alu.alu{bits}bit.inc.bit{bit}.xor.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"alu.alu{bits}bit.inc.bit{bit}.carry", [1.0, 1.0], [-2.0])
for bit in range(bits):
add_gate(tensors, f"alu.alu{bits}bit.dec.bit{bit}.xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"alu.alu{bits}bit.dec.bit{bit}.xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"alu.alu{bits}bit.dec.bit{bit}.xor.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"alu.alu{bits}bit.dec.bit{bit}.not_a", [-1.0], [0.0])
add_gate(tensors, f"alu.alu{bits}bit.dec.bit{bit}.borrow", [1.0, 1.0], [-2.0])
def add_neg_nbits(tensors: Dict[str, torch.Tensor], bits: int) -> None:
"""Add N-bit NEG circuit (two's complement negation)."""
for bit in range(bits):
add_gate(tensors, f"alu.alu{bits}bit.neg.not.bit{bit}", [-1.0], [0.0])
add_gate(tensors, f"alu.alu{bits}bit.neg.inc.bit{bit}.xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"alu.alu{bits}bit.neg.inc.bit{bit}.xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"alu.alu{bits}bit.neg.inc.bit{bit}.xor.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"alu.alu{bits}bit.neg.inc.bit{bit}.carry", [1.0, 1.0], [-2.0])
def add_float16_core(tensors: Dict[str, torch.Tensor]) -> None:
"""Add float16 core circuits (unpack, pack, classify, normalize).
IEEE 754 half-precision format (16 bits):
- Bit 15: Sign (0=positive, 1=negative)
- Bits 14-10: Exponent (5 bits, bias=15)
- Bits 9-0: Mantissa/fraction (10 bits, implicit leading 1 for normalized)
Special values:
- Zero: exp=0, frac=0
- Subnormal: exp=0, frac≠0
- Infinity: exp=31, frac=0
- NaN: exp=31, frac≠0
"""
prefix = "float16"
for i in range(16):
add_gate(tensors, f"{prefix}.unpack.bit{i}", [1.0], [0.0])
add_gate(tensors, f"{prefix}.classify.exp_zero", [-1.0] * 5, [0.0])
add_gate(tensors, f"{prefix}.classify.exp_max", [1.0] * 5, [-5.0])
add_gate(tensors, f"{prefix}.classify.frac_zero", [-1.0] * 10, [0.0])
add_gate(tensors, f"{prefix}.classify.frac_nonzero", [1.0] * 10, [-1.0])
add_gate(tensors, f"{prefix}.classify.is_zero.and", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.classify.is_subnormal.and", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.classify.is_inf.and", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.classify.is_nan.and", [1.0, 1.0], [-2.0])
for stage in range(4):
shift = 1 << (3 - stage)
for bit in range(11):
add_gate(tensors, f"{prefix}.normalize.stage{stage}.bit{bit}.not_sel", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.normalize.stage{stage}.bit{bit}.and_a", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.normalize.stage{stage}.bit{bit}.and_b", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.normalize.stage{stage}.bit{bit}.or", [1.0, 1.0], [-1.0])
for stage in range(4):
shift = 1 << (3 - stage)
for bit in range(5):
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for i in range(16):
add_gate(tensors, f"{prefix}.pack.bit{i}", [1.0], [0.0])
def add_float16_add(tensors: Dict[str, torch.Tensor]) -> None:
"""Add float16 addition circuit.
Algorithm:
1. Unpack both operands
2. Compare exponents, align mantissas
3. Add/subtract mantissas based on signs
4. Normalize result
5. Handle special cases (inf, nan, zero)
"""
prefix = "float16.add"
pos_weights = [float(1 << (4 - i)) for i in range(5)]
neg_weights = [-w for w in pos_weights]
add_gate(tensors, f"{prefix}.exp_cmp.a_gt_b", pos_weights + neg_weights, [-1.0])
add_gate(tensors, f"{prefix}.exp_cmp.a_lt_b", neg_weights + pos_weights, [-1.0])
for bit in range(5):
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_diff.not_b.bit{bit}", [-1.0], [0.0])
for stage in range(4):
shift = 1 << (3 - stage)
for bit in range(11):
add_gate(tensors, f"{prefix}.align.stage{stage}.bit{bit}.not_sel", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.align.stage{stage}.bit{bit}.and_a", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.align.stage{stage}.bit{bit}.and_b", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.align.stage{stage}.bit{bit}.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer2", [1.0, 1.0], [-2.0])
for bit in range(12):
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for bit in range(11):
add_gate(tensors, f"{prefix}.mant_sub.not_b.bit{bit}", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for bit in range(11):
add_gate(tensors, f"{prefix}.mant_select.bit{bit}.not_sel", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.mant_select.bit{bit}.and_add", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_select.bit{bit}.and_sub", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_select.bit{bit}.or", [1.0, 1.0], [-1.0])
def add_float16_mul(tensors: Dict[str, torch.Tensor]) -> None:
"""Add float16 multiplication circuit.
Algorithm:
1. Unpack both operands
2. XOR signs for result sign
3. Add exponents (subtract bias)
4. Multiply mantissas (11x11 -> 22 bits)
5. Normalize result
6. Handle special cases
"""
prefix = "float16.mul"
add_gate(tensors, f"{prefix}.sign_xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer2", [1.0, 1.0], [-2.0])
for bit in range(6):
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for bit in range(5):
add_gate(tensors, f"{prefix}.bias_sub.not_bias.bit{bit}", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for i in range(11):
for j in range(11):
add_gate(tensors, f"{prefix}.mant_mul.pp.a{i}b{j}", [1.0, 1.0], [-2.0])
for stage in range(10):
for bit in range(22):
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
def add_float16_div(tensors: Dict[str, torch.Tensor]) -> None:
"""Add float16 division circuit.
Algorithm:
1. Unpack both operands
2. XOR signs for result sign
3. Subtract exponents (add bias)
4. Divide mantissas (restoring division)
5. Normalize result
6. Handle special cases (div by zero -> inf)
"""
prefix = "float16.div"
add_gate(tensors, f"{prefix}.sign_xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer2", [1.0, 1.0], [-2.0])
for bit in range(5):
add_gate(tensors, f"{prefix}.exp_sub.not_b.bit{bit}", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for bit in range(5):
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for stage in range(11):
pos_weights = [float(1 << (10 - i)) for i in range(11)]
neg_weights = [-w for w in pos_weights]
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.cmp", pos_weights + neg_weights, [0.0])
for bit in range(11):
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.not_d.bit{bit}", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.mux.bit{bit}.not_sel", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.mux.bit{bit}.and_old", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.mux.bit{bit}.and_new", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.mux.bit{bit}.or", [1.0, 1.0], [-1.0])
def add_float16_cmp(tensors: Dict[str, torch.Tensor]) -> None:
"""Add float16 comparison circuits (EQ, LT, LE, GT, GE).
Float comparison:
1. Handle NaN (any comparison with NaN is false except NaN != NaN)
2. Handle signed zeros (+0 == -0)
3. For same signs: compare as integers (exponent then mantissa)
4. For different signs: negative < positive (unless both zero)
"""
prefix = "float16.cmp"
add_gate(tensors, f"{prefix}.a.exp_max", [1.0] * 5, [-5.0])
add_gate(tensors, f"{prefix}.a.frac_nz", [1.0] * 10, [-1.0])
add_gate(tensors, f"{prefix}.a.is_nan", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.b.exp_max", [1.0] * 5, [-5.0])
add_gate(tensors, f"{prefix}.b.frac_nz", [1.0] * 10, [-1.0])
add_gate(tensors, f"{prefix}.b.is_nan", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.either_nan", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.a.is_zero.exp_zero", [-1.0] * 5, [0.0])
add_gate(tensors, f"{prefix}.a.is_zero.frac_zero", [-1.0] * 10, [0.0])
add_gate(tensors, f"{prefix}.a.is_zero.and", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.b.is_zero.exp_zero", [-1.0] * 5, [0.0])
add_gate(tensors, f"{prefix}.b.is_zero.frac_zero", [-1.0] * 10, [0.0])
add_gate(tensors, f"{prefix}.b.is_zero.and", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.both_zero", [1.0, 1.0], [-2.0])
pos_weights = [float(1 << (14 - i)) for i in range(15)]
neg_weights = [-w for w in pos_weights]
add_gate(tensors, f"{prefix}.mag_a_gt_b", pos_weights + neg_weights, [-1.0])
add_gate(tensors, f"{prefix}.mag_a_ge_b", pos_weights + neg_weights, [0.0])
add_gate(tensors, f"{prefix}.mag_a_lt_b", neg_weights + pos_weights, [-1.0])
add_gate(tensors, f"{prefix}.mag_a_le_b", neg_weights + pos_weights, [0.0])
add_gate(tensors, f"{prefix}.mag_eq.geq", pos_weights + neg_weights, [0.0])
add_gate(tensors, f"{prefix}.mag_eq.leq", neg_weights + pos_weights, [0.0])
add_gate(tensors, f"{prefix}.mag_eq.and", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.eq.not_nan", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.eq.mag_or_zero", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.eq.same_sign_or_zero", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.eq.result", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.lt.not_nan", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.lt.diff_sign.not_a_sign", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.lt.diff_sign.a_neg", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.lt.same_sign.pos_lt", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.lt.same_sign.neg_gt", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.lt.same_sign.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.lt.case_or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.lt.not_both_zero", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.lt.result", [1.0, 1.0, 1.0], [-3.0])
add_gate(tensors, f"{prefix}.gt.not_nan", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.gt.diff_sign.not_b_sign", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.gt.diff_sign.b_neg", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.gt.same_sign.pos_gt", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.gt.same_sign.neg_lt", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.gt.same_sign.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.gt.case_or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.gt.not_both_zero", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.gt.result", [1.0, 1.0, 1.0], [-3.0])
add_gate(tensors, f"{prefix}.le.eq_or_lt", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.le.not_nan", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.le.result", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.ge.eq_or_gt", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.ge.not_nan", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.ge.result", [1.0, 1.0], [-2.0])
def add_float32_core(tensors: Dict[str, torch.Tensor]) -> None:
"""Add float32 core circuits (unpack, pack, classify, normalize).
IEEE 754 single-precision format (32 bits):
- Bit 31: Sign
- Bits 30-23: Exponent (8 bits, bias=127)
- Bits 22-0: Mantissa (23 bits, implicit leading 1)
"""
prefix = "float32"
for i in range(32):
add_gate(tensors, f"{prefix}.unpack.bit{i}", [1.0], [0.0])
add_gate(tensors, f"{prefix}.classify.exp_zero", [-1.0] * 8, [0.0])
add_gate(tensors, f"{prefix}.classify.exp_max", [1.0] * 8, [-8.0])
add_gate(tensors, f"{prefix}.classify.frac_zero", [-1.0] * 23, [0.0])
add_gate(tensors, f"{prefix}.classify.frac_nonzero", [1.0] * 23, [-1.0])
add_gate(tensors, f"{prefix}.classify.is_zero.and", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.classify.is_subnormal.and", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.classify.is_inf.and", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.classify.is_nan.and", [1.0, 1.0], [-2.0])
for stage in range(5):
shift = 1 << (4 - stage)
for bit in range(24):
add_gate(tensors, f"{prefix}.normalize.stage{stage}.bit{bit}.not_sel", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.normalize.stage{stage}.bit{bit}.and_a", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.normalize.stage{stage}.bit{bit}.and_b", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.normalize.stage{stage}.bit{bit}.or", [1.0, 1.0], [-1.0])
for stage in range(5):
for bit in range(8):
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.normalize.exp_adj.stage{stage}.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for i in range(32):
add_gate(tensors, f"{prefix}.pack.bit{i}", [1.0], [0.0])
def add_float32_cmp(tensors: Dict[str, torch.Tensor]) -> None:
"""Add float32 comparison circuits (EQ, LT, LE, GT, GE)."""
prefix = "float32.cmp"
add_gate(tensors, f"{prefix}.a.exp_max", [1.0] * 8, [-8.0])
add_gate(tensors, f"{prefix}.a.frac_nz", [1.0] * 23, [-1.0])
add_gate(tensors, f"{prefix}.a.is_nan", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.b.exp_max", [1.0] * 8, [-8.0])
add_gate(tensors, f"{prefix}.b.frac_nz", [1.0] * 23, [-1.0])
add_gate(tensors, f"{prefix}.b.is_nan", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.either_nan", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.a.is_zero.exp_zero", [-1.0] * 8, [0.0])
add_gate(tensors, f"{prefix}.a.is_zero.frac_zero", [-1.0] * 23, [0.0])
add_gate(tensors, f"{prefix}.a.is_zero.and", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.b.is_zero.exp_zero", [-1.0] * 8, [0.0])
add_gate(tensors, f"{prefix}.b.is_zero.frac_zero", [-1.0] * 23, [0.0])
add_gate(tensors, f"{prefix}.b.is_zero.and", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.both_zero", [1.0, 1.0], [-2.0])
pos_weights = [float(1 << (30 - i)) for i in range(31)]
neg_weights = [-w for w in pos_weights]
add_gate(tensors, f"{prefix}.mag_a_gt_b", pos_weights + neg_weights, [-1.0])
add_gate(tensors, f"{prefix}.mag_a_ge_b", pos_weights + neg_weights, [0.0])
add_gate(tensors, f"{prefix}.mag_a_lt_b", neg_weights + pos_weights, [-1.0])
add_gate(tensors, f"{prefix}.mag_a_le_b", neg_weights + pos_weights, [0.0])
add_gate(tensors, f"{prefix}.mag_eq.geq", pos_weights + neg_weights, [0.0])
add_gate(tensors, f"{prefix}.mag_eq.leq", neg_weights + pos_weights, [0.0])
add_gate(tensors, f"{prefix}.mag_eq.and", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.eq.not_nan", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.eq.mag_or_zero", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.eq.same_sign_or_zero", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.eq.result", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.lt.not_nan", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.lt.diff_sign.not_a_sign", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.lt.diff_sign.a_neg", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.lt.same_sign.pos_lt", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.lt.same_sign.neg_gt", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.lt.same_sign.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.lt.case_or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.lt.not_both_zero", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.lt.result", [1.0, 1.0, 1.0], [-3.0])
add_gate(tensors, f"{prefix}.gt.not_nan", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.gt.diff_sign.not_b_sign", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.gt.diff_sign.b_neg", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.gt.same_sign.pos_gt", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.gt.same_sign.neg_lt", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.gt.same_sign.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.gt.case_or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.gt.not_both_zero", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.gt.result", [1.0, 1.0, 1.0], [-3.0])
add_gate(tensors, f"{prefix}.le.eq_or_lt", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.le.not_nan", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.le.result", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.ge.eq_or_gt", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.ge.not_nan", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.ge.result", [1.0, 1.0], [-2.0])
def add_float32_add(tensors: Dict[str, torch.Tensor]) -> None:
"""Add float32 addition circuit.
Algorithm:
1. Unpack both operands
2. Compare exponents, align mantissas
3. Add/subtract mantissas based on signs
4. Normalize result
5. Handle special cases (inf, nan, zero)
"""
prefix = "float32.add"
pos_weights = [float(1 << (7 - i)) for i in range(8)]
neg_weights = [-w for w in pos_weights]
add_gate(tensors, f"{prefix}.exp_cmp.a_gt_b", pos_weights + neg_weights, [-1.0])
add_gate(tensors, f"{prefix}.exp_cmp.a_lt_b", neg_weights + pos_weights, [-1.0])
for bit in range(8):
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_diff.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_diff.not_b.bit{bit}", [-1.0], [0.0])
for stage in range(5):
shift = 1 << (4 - stage)
for bit in range(24):
add_gate(tensors, f"{prefix}.align.stage{stage}.bit{bit}.not_sel", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.align.stage{stage}.bit{bit}.and_a", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.align.stage{stage}.bit{bit}.and_b", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.align.stage{stage}.bit{bit}.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer2", [1.0, 1.0], [-2.0])
for bit in range(25):
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_add.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for bit in range(24):
add_gate(tensors, f"{prefix}.mant_sub.not_b.bit{bit}", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_sub.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for bit in range(24):
add_gate(tensors, f"{prefix}.mant_select.bit{bit}.not_sel", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.mant_select.bit{bit}.and_add", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_select.bit{bit}.and_sub", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_select.bit{bit}.or", [1.0, 1.0], [-1.0])
def add_float32_mul(tensors: Dict[str, torch.Tensor]) -> None:
"""Add float32 multiplication circuit.
Algorithm:
1. Unpack both operands
2. XOR signs for result sign
3. Add exponents (subtract bias)
4. Multiply mantissas (24x24 -> 48 bits)
5. Normalize result
6. Handle special cases
"""
prefix = "float32.mul"
add_gate(tensors, f"{prefix}.sign_xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer2", [1.0, 1.0], [-2.0])
for bit in range(9):
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_add.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for bit in range(8):
add_gate(tensors, f"{prefix}.bias_sub.not_bias.bit{bit}", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_sub.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for i in range(24):
for j in range(24):
add_gate(tensors, f"{prefix}.mant_mul.pp.a{i}b{j}", [1.0, 1.0], [-2.0])
for stage in range(23):
for bit in range(48):
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_mul.acc.s{stage}.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
def add_float32_div(tensors: Dict[str, torch.Tensor]) -> None:
"""Add float32 division circuit.
Algorithm:
1. Unpack both operands
2. XOR signs for result sign
3. Subtract exponents (add bias)
4. Divide mantissas (restoring division)
5. Normalize result
6. Handle special cases (div by zero -> inf)
"""
prefix = "float32.div"
add_gate(tensors, f"{prefix}.sign_xor.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.sign_xor.layer2", [1.0, 1.0], [-2.0])
for bit in range(8):
add_gate(tensors, f"{prefix}.exp_sub.not_b.bit{bit}", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.exp_sub.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for bit in range(8):
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.bias_add.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
for stage in range(24):
pos_weights = [float(1 << (23 - i)) for i in range(24)]
neg_weights = [-w for w in pos_weights]
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.cmp", pos_weights + neg_weights, [0.0])
for bit in range(24):
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.not_d.bit{bit}", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha1.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha1.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha1.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha1.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha2.sum.layer1.or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha2.sum.layer1.nand", [-1.0, -1.0], [1.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha2.sum.layer2", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.ha2.carry", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.sub.fa{bit}.carry_or", [1.0, 1.0], [-1.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.mux.bit{bit}.not_sel", [-1.0], [0.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.mux.bit{bit}.and_old", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.mux.bit{bit}.and_new", [1.0, 1.0], [-2.0])
add_gate(tensors, f"{prefix}.mant_div.stage{stage}.mux.bit{bit}.or", [1.0, 1.0], [-1.0])
def update_manifest(tensors: Dict[str, torch.Tensor], data_bits: int, addr_bits: int, mem_bytes: int) -> None:
"""Update manifest metadata tensors.
Args:
data_bits: ALU/register width (8/16/32)
addr_bits: Address bus width (determines memory size)
mem_bytes: Memory size in bytes (2^addr_bits)
"""
tensors["manifest.data_bits"] = torch.tensor([float(data_bits)], dtype=torch.float32)
tensors["manifest.addr_bits"] = torch.tensor([float(addr_bits)], dtype=torch.float32)
tensors["manifest.memory_bytes"] = torch.tensor([float(mem_bytes)], dtype=torch.float32)
tensors["manifest.pc_width"] = torch.tensor([float(addr_bits)], dtype=torch.float32)
tensors["manifest.version"] = torch.tensor([4.0], dtype=torch.float32) # Bump version for N-bit support
def write_manifest(path: Path, tensors: Dict[str, torch.Tensor]) -> None:
lines: List[str] = []
lines.append("# Tensor Manifest")
lines.append(f"# Total: {len(tensors)} tensors")
for name in sorted(tensors.keys()):
t = tensors[name]
values = ", ".join(f"{v:.1f}" for v in t.flatten().tolist())
lines.append(f"{name}: shape={list(t.shape)}, values=[{values}]")
path.write_text("\n".join(lines) + "\n", encoding="utf-8")
def infer_boolean_inputs(gate: str, reg: SignalRegistry) -> List[int]:
if gate == 'boolean.not':
return [reg.register("$x")]
if gate in ['boolean.and', 'boolean.or', 'boolean.nand', 'boolean.nor', 'boolean.implies']:
return [reg.register("$a"), reg.register("$b")]
if '.layer1.neuron1' in gate or '.layer1.neuron2' in gate or '.layer1.or' in gate or '.layer1.nand' in gate:
return [reg.register("$a"), reg.register("$b")]
if '.layer2' in gate:
parent = gate.rsplit('.layer2', 1)[0]
if '.layer1.neuron1' in parent or 'xor' in parent or 'xnor' in parent or 'biimplies' in parent:
parent = parent.rsplit('.layer1', 1)[0] if '.layer1' in parent else parent
return [reg.register(f"{parent}.layer1.or"), reg.register(f"{parent}.layer1.nand")]
return []
def infer_halfadder_inputs(gate: str, prefix: str, reg: SignalRegistry) -> List[int]:
a = reg.register(f"{prefix}.$a")
b = reg.register(f"{prefix}.$b")
if '.sum.layer1' in gate:
return [a, b]
if '.sum.layer2' in gate:
return [reg.register(f"{prefix}.sum.layer1.or"), reg.register(f"{prefix}.sum.layer1.nand")]
if '.carry' in gate and '.layer' not in gate:
return [a, b]
return [a, b]
def infer_fulladder_inputs(gate: str, prefix: str, reg: SignalRegistry) -> List[int]:
a = reg.register(f"{prefix}.$a")
b = reg.register(f"{prefix}.$b")
cin = reg.register(f"{prefix}.$cin")
if '.ha1.sum.layer1' in gate:
return [a, b]
if '.ha1.sum.layer2' in gate:
return [reg.register(f"{prefix}.ha1.sum.layer1.or"), reg.register(f"{prefix}.ha1.sum.layer1.nand")]
if '.ha1.carry' in gate and '.layer' not in gate:
return [a, b]
if '.ha2.sum.layer1' in gate:
return [reg.register(f"{prefix}.ha1.sum.layer2"), cin]
if '.ha2.sum.layer2' in gate:
return [reg.register(f"{prefix}.ha2.sum.layer1.or"), reg.register(f"{prefix}.ha2.sum.layer1.nand")]
if '.ha2.carry' in gate and '.layer' not in gate:
return [reg.register(f"{prefix}.ha1.sum.layer2"), cin]
if '.carry_or' in gate:
return [reg.register(f"{prefix}.ha1.carry"), reg.register(f"{prefix}.ha2.carry")]
return []
def infer_ripplecarry_inputs(gate: str, prefix: str, bits: int, reg: SignalRegistry) -> List[int]:
for i in range(bits):
reg.register(f"{prefix}.$a[{i}]")
reg.register(f"{prefix}.$b[{i}]")
m = re.search(r'\.fa(\d+)\.', gate)
if not m:
return []
bit = int(m.group(1))
a_bit = reg.get_id(f"{prefix}.$a[{bit}]")
b_bit = reg.get_id(f"{prefix}.$b[{bit}]")
cin = reg.get_id("#0") if bit == 0 else reg.register(f"{prefix}.fa{bit-1}.carry_or")
fa_prefix = f"{prefix}.fa{bit}"
if '.ha1.sum.layer1' in gate:
return [a_bit, b_bit]
if '.ha1.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer1.or"), reg.register(f"{fa_prefix}.ha1.sum.layer1.nand")]
if '.ha1.carry' in gate and '.layer' not in gate:
return [a_bit, b_bit]
if '.ha2.sum.layer1' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.ha2.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha2.sum.layer1.or"), reg.register(f"{fa_prefix}.ha2.sum.layer1.nand")]
if '.ha2.carry' in gate and '.layer' not in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.carry_or' in gate:
return [reg.register(f"{fa_prefix}.ha1.carry"), reg.register(f"{fa_prefix}.ha2.carry")]
return []
def infer_expr_add_mul_inputs(gate: str, reg: SignalRegistry) -> List[int]:
"""Infer inputs for A + B × C expression circuit (order of operations).
Circuit structure:
- Mask stage: mask.s[stage].b[bit] = B[bit] AND C[stage]
- Accumulator stages 1-7: acc.s[stage] = acc.s[stage-1] + (mask.s[stage] << stage)
- Final add: result = A + acc.s7
Bit ordering: MSB-first externally, LSB-first internally (fa0 = LSB, fa7 = MSB)
- $x[7] = bit 0 (LSB), $x[0] = bit 7 (MSB)
"""
prefix = "arithmetic.expr_add_mul"
# Register all inputs
for i in range(8):
reg.register(f"$a[{i}]")
reg.register(f"$b[{i}]")
reg.register(f"$c[{i}]")
# Mask AND gates: mask.s[stage].b[bit] = B[bit] AND C[stage]
if '.mul.mask.' in gate:
m = re.search(r'\.s(\d+)\.b(\d+)', gate)
if m:
stage = int(m.group(1))
bit = int(m.group(2))
# MSB-first: $b[7-bit] is bit position 'bit', $c[7-stage] is stage position 'stage'
b_input = reg.get_id(f"$b[{7-bit}]")
c_input = reg.get_id(f"$c[{7-stage}]")
return [b_input, c_input]
return []
# Accumulator adders: acc.s[stage].fa[bit]
if '.mul.acc.' in gate:
m = re.search(r'\.s(\d+)\.fa(\d+)\.', gate)
if not m:
return []
stage = int(m.group(1)) # 1-7
bit = int(m.group(2)) # 0-7
# A input: previous stage output
if stage == 1:
# First accumulator: A = mask.s0.b[bit] (AND gate output)
a_input = reg.register(f"{prefix}.mul.mask.s0.b{bit}")
else:
# Later stages: A = previous accumulator sum
a_input = reg.register(f"{prefix}.mul.acc.s{stage-1}.fa{bit}.ha2.sum.layer2")
# B input: (mask.s[stage] << stage)[bit]
# Shift left by 'stage' positions means:
# - bit positions 0 to stage-1 get 0
# - bit position 'bit' gets mask.s[stage].b[bit-stage]
if bit < stage:
b_input = reg.get_id("#0")
else:
b_input = reg.register(f"{prefix}.mul.mask.s{stage}.b{bit-stage}")
# Carry input
if bit == 0:
cin = reg.get_id("#0")
else:
cin = reg.register(f"{prefix}.mul.acc.s{stage}.fa{bit-1}.carry_or")
fa_prefix = f"{prefix}.mul.acc.s{stage}.fa{bit}"
if '.ha1.sum.layer1' in gate:
return [a_input, b_input]
if '.ha1.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer1.or"), reg.register(f"{fa_prefix}.ha1.sum.layer1.nand")]
if '.ha1.carry' in gate and '.layer' not in gate:
return [a_input, b_input]
if '.ha2.sum.layer1' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.ha2.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha2.sum.layer1.or"), reg.register(f"{fa_prefix}.ha2.sum.layer1.nand")]
if '.ha2.carry' in gate and '.layer' not in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.carry_or' in gate:
return [reg.register(f"{fa_prefix}.ha1.carry"), reg.register(f"{fa_prefix}.ha2.carry")]
return []
# Final add stage: A + mul_result
if '.add.fa' in gate:
m = re.search(r'\.fa(\d+)\.', gate)
if not m:
return []
bit = int(m.group(1))
# A input: $a[7-bit] (MSB-first to positional bit)
a_input = reg.get_id(f"$a[{7-bit}]")
# B input: multiplication result = acc.s7.fa[bit] sum output
b_input = reg.register(f"{prefix}.mul.acc.s7.fa{bit}.ha2.sum.layer2")
# Carry input
if bit == 0:
cin = reg.get_id("#0")
else:
cin = reg.register(f"{prefix}.add.fa{bit-1}.carry_or")
fa_prefix = f"{prefix}.add.fa{bit}"
if '.ha1.sum.layer1' in gate:
return [a_input, b_input]
if '.ha1.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer1.or"), reg.register(f"{fa_prefix}.ha1.sum.layer1.nand")]
if '.ha1.carry' in gate and '.layer' not in gate:
return [a_input, b_input]
if '.ha2.sum.layer1' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.ha2.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha2.sum.layer1.or"), reg.register(f"{fa_prefix}.ha2.sum.layer1.nand")]
if '.ha2.carry' in gate and '.layer' not in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.carry_or' in gate:
return [reg.register(f"{fa_prefix}.ha1.carry"), reg.register(f"{fa_prefix}.ha2.carry")]
return []
return []
def infer_expr_paren_add_mul_inputs(gate: str, reg: SignalRegistry) -> List[int]:
"""Infer inputs for (A + B) × C expression circuit (parenthetical override).
Circuit structure:
- Add stage: sum = A + B
- Mask stage: mask.s[stage].b[bit] = sum[bit] AND C[stage]
- Accumulator stages 1-7: acc.s[stage] = acc.s[stage-1] + (mask.s[stage] << stage)
Bit ordering: MSB-first externally, LSB-first internally (fa0 = LSB, fa7 = MSB)
"""
prefix = "arithmetic.expr_paren_add_mul"
# Register all inputs
for i in range(8):
reg.register(f"$a[{i}]")
reg.register(f"$b[{i}]")
reg.register(f"$c[{i}]")
# Add stage: A + B
if '.add.fa' in gate and '.mul.' not in gate:
m = re.search(r'\.fa(\d+)\.', gate)
if not m:
return []
bit = int(m.group(1))
# A input: $a[7-bit], B input: $b[7-bit]
a_input = reg.get_id(f"$a[{7-bit}]")
b_input = reg.get_id(f"$b[{7-bit}]")
# Carry input
if bit == 0:
cin = reg.get_id("#0")
else:
cin = reg.register(f"{prefix}.add.fa{bit-1}.carry_or")
fa_prefix = f"{prefix}.add.fa{bit}"
if '.ha1.sum.layer1' in gate:
return [a_input, b_input]
if '.ha1.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer1.or"), reg.register(f"{fa_prefix}.ha1.sum.layer1.nand")]
if '.ha1.carry' in gate and '.layer' not in gate:
return [a_input, b_input]
if '.ha2.sum.layer1' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.ha2.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha2.sum.layer1.or"), reg.register(f"{fa_prefix}.ha2.sum.layer1.nand")]
if '.ha2.carry' in gate and '.layer' not in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.carry_or' in gate:
return [reg.register(f"{fa_prefix}.ha1.carry"), reg.register(f"{fa_prefix}.ha2.carry")]
return []
# Mask AND gates: mask.s[stage].b[bit] = sum[bit] AND C[stage]
if '.mul.mask.' in gate:
m = re.search(r'\.s(\d+)\.b(\d+)', gate)
if m:
stage = int(m.group(1))
bit = int(m.group(2))
# sum[bit] comes from add.fa[bit].ha2.sum.layer2
sum_bit = reg.register(f"{prefix}.add.fa{bit}.ha2.sum.layer2")
# C[stage] in MSB-first
c_input = reg.get_id(f"$c[{7-stage}]")
return [sum_bit, c_input]
return []
# Accumulator adders: acc.s[stage].fa[bit]
if '.mul.acc.' in gate:
m = re.search(r'\.s(\d+)\.fa(\d+)\.', gate)
if not m:
return []
stage = int(m.group(1)) # 1-7
bit = int(m.group(2)) # 0-7
# A input: previous stage output
if stage == 1:
# First accumulator: A = mask.s0.b[bit] (AND gate output)
a_input = reg.register(f"{prefix}.mul.mask.s0.b{bit}")
else:
# Later stages: A = previous accumulator sum
a_input = reg.register(f"{prefix}.mul.acc.s{stage-1}.fa{bit}.ha2.sum.layer2")
# B input: (mask.s[stage] << stage)[bit]
if bit < stage:
b_input = reg.get_id("#0")
else:
b_input = reg.register(f"{prefix}.mul.mask.s{stage}.b{bit-stage}")
# Carry input
if bit == 0:
cin = reg.get_id("#0")
else:
cin = reg.register(f"{prefix}.mul.acc.s{stage}.fa{bit-1}.carry_or")
fa_prefix = f"{prefix}.mul.acc.s{stage}.fa{bit}"
if '.ha1.sum.layer1' in gate:
return [a_input, b_input]
if '.ha1.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer1.or"), reg.register(f"{fa_prefix}.ha1.sum.layer1.nand")]
if '.ha1.carry' in gate and '.layer' not in gate:
return [a_input, b_input]
if '.ha2.sum.layer1' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.ha2.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha2.sum.layer1.or"), reg.register(f"{fa_prefix}.ha2.sum.layer1.nand")]
if '.ha2.carry' in gate and '.layer' not in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.carry_or' in gate:
return [reg.register(f"{fa_prefix}.ha1.carry"), reg.register(f"{fa_prefix}.ha2.carry")]
return []
return []
def infer_expr_paren_inputs(gate: str, reg: SignalRegistry) -> List[int]:
"""Infer inputs for (A + B) × C expression circuit (parenthetical grouping).
Circuit structure:
- Add stage: sum = A + B
- Mask stage: mask.s[stage].b[bit] = sum[bit] AND C[stage]
- Accumulator stages 1-7: acc.s[stage] = acc.s[stage-1] + (mask.s[stage] << stage)
Bit ordering: MSB-first externally, LSB-first internally (fa0 = LSB, fa7 = MSB)
"""
prefix = "arithmetic.expr_paren"
# Register all inputs
for i in range(8):
reg.register(f"$a[{i}]")
reg.register(f"$b[{i}]")
reg.register(f"$c[{i}]")
# Add stage: sum = A + B
if '.add.fa' in gate and '.mul.' not in gate:
m = re.search(r'\.fa(\d+)\.', gate)
if not m:
return []
bit = int(m.group(1))
# Inputs: $a[7-bit], $b[7-bit]
a_input = reg.get_id(f"$a[{7-bit}]")
b_input = reg.get_id(f"$b[{7-bit}]")
# Carry input
if bit == 0:
cin = reg.get_id("#0")
else:
cin = reg.register(f"{prefix}.add.fa{bit-1}.carry_or")
fa_prefix = f"{prefix}.add.fa{bit}"
if '.ha1.sum.layer1' in gate:
return [a_input, b_input]
if '.ha1.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer1.or"), reg.register(f"{fa_prefix}.ha1.sum.layer1.nand")]
if '.ha1.carry' in gate and '.layer' not in gate:
return [a_input, b_input]
if '.ha2.sum.layer1' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.ha2.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha2.sum.layer1.or"), reg.register(f"{fa_prefix}.ha2.sum.layer1.nand")]
if '.ha2.carry' in gate and '.layer' not in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.carry_or' in gate:
return [reg.register(f"{fa_prefix}.ha1.carry"), reg.register(f"{fa_prefix}.ha2.carry")]
return []
# Mask AND gates: mask.s[stage].b[bit] = sum[bit] AND C[stage]
if '.mul.mask.' in gate:
m = re.search(r'\.s(\d+)\.b(\d+)', gate)
if m:
stage = int(m.group(1))
bit = int(m.group(2))
# sum[bit] comes from add stage output
sum_input = reg.register(f"{prefix}.add.fa{bit}.ha2.sum.layer2")
# C[stage] in MSB-first: $c[7-stage]
c_input = reg.get_id(f"$c[{7-stage}]")
return [sum_input, c_input]
return []
# Accumulator adders: acc.s[stage].fa[bit]
if '.mul.acc.' in gate:
m = re.search(r'\.s(\d+)\.fa(\d+)\.', gate)
if not m:
return []
stage = int(m.group(1)) # 1-7
bit = int(m.group(2)) # 0-7
# A input: previous stage output
if stage == 1:
# First accumulator: A = mask.s0.b[bit] (AND gate output)
a_input = reg.register(f"{prefix}.mul.mask.s0.b{bit}")
else:
# Later stages: A = previous accumulator sum
a_input = reg.register(f"{prefix}.mul.acc.s{stage-1}.fa{bit}.ha2.sum.layer2")
# B input: (mask.s[stage] << stage)[bit]
if bit < stage:
b_input = reg.get_id("#0")
else:
b_input = reg.register(f"{prefix}.mul.mask.s{stage}.b{bit-stage}")
# Carry input
if bit == 0:
cin = reg.get_id("#0")
else:
cin = reg.register(f"{prefix}.mul.acc.s{stage}.fa{bit-1}.carry_or")
fa_prefix = f"{prefix}.mul.acc.s{stage}.fa{bit}"
if '.ha1.sum.layer1' in gate:
return [a_input, b_input]
if '.ha1.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer1.or"), reg.register(f"{fa_prefix}.ha1.sum.layer1.nand")]
if '.ha1.carry' in gate and '.layer' not in gate:
return [a_input, b_input]
if '.ha2.sum.layer1' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.ha2.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha2.sum.layer1.or"), reg.register(f"{fa_prefix}.ha2.sum.layer1.nand")]
if '.ha2.carry' in gate and '.layer' not in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.carry_or' in gate:
return [reg.register(f"{fa_prefix}.ha1.carry"), reg.register(f"{fa_prefix}.ha2.carry")]
return []
return []
def infer_add3_inputs(gate: str, reg: SignalRegistry) -> List[int]:
"""Infer inputs for 3-operand adder: A + B + C."""
prefix = "arithmetic.add3_8bit"
# Register all inputs
for i in range(8):
reg.register(f"$a[{i}]")
reg.register(f"$b[{i}]")
reg.register(f"$c[{i}]")
# Parse stage and bit
if '.stage1.' in gate:
m = re.search(r'\.fa(\d+)\.', gate)
if not m:
return []
bit = int(m.group(1))
# Stage 1: A + B (LSB is index 7 in MSB-first)
a_bit = reg.get_id(f"$a[{7-bit}]")
b_bit = reg.get_id(f"$b[{7-bit}]")
cin = reg.get_id("#0") if bit == 0 else reg.register(f"{prefix}.stage1.fa{bit-1}.carry_or")
fa_prefix = f"{prefix}.stage1.fa{bit}"
elif '.stage2.' in gate:
m = re.search(r'\.fa(\d+)\.', gate)
if not m:
return []
bit = int(m.group(1))
# Stage 2: stage1_result + C
temp_bit = reg.register(f"{prefix}.stage1.fa{bit}.ha2.sum.layer2")
c_bit = reg.get_id(f"$c[{7-bit}]")
cin = reg.get_id("#0") if bit == 0 else reg.register(f"{prefix}.stage2.fa{bit-1}.carry_or")
a_bit = temp_bit
b_bit = c_bit
fa_prefix = f"{prefix}.stage2.fa{bit}"
else:
return []
if '.ha1.sum.layer1' in gate:
return [a_bit, b_bit]
if '.ha1.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer1.or"), reg.register(f"{fa_prefix}.ha1.sum.layer1.nand")]
if '.ha1.carry' in gate and '.layer' not in gate:
return [a_bit, b_bit]
if '.ha2.sum.layer1' in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.ha2.sum.layer2' in gate:
return [reg.register(f"{fa_prefix}.ha2.sum.layer1.or"), reg.register(f"{fa_prefix}.ha2.sum.layer1.nand")]
if '.ha2.carry' in gate and '.layer' not in gate:
return [reg.register(f"{fa_prefix}.ha1.sum.layer2"), cin]
if '.carry_or' in gate:
return [reg.register(f"{fa_prefix}.ha1.carry"), reg.register(f"{fa_prefix}.ha2.carry")]
return []
def infer_adcsbc_inputs(gate: str, prefix: str, is_sub: bool, reg: SignalRegistry) -> List[int]:
for i in range(8):
reg.register(f"{prefix}.$a[{i}]")
reg.register(f"{prefix}.$b[{i}]")
reg.register(f"{prefix}.$cin")
if is_sub and '.notb' in gate:
m = re.search(r'\.notb(\d+)', gate)
if m:
return [reg.get_id(f"{prefix}.$b[{int(m.group(1))}]")]
return []
m = re.search(r'\.fa(\d+)\.', gate)
if not m:
return []
bit = int(m.group(1))
if is_sub:
a_bit = reg.get_id(f"{prefix}.$a[{bit}]")
notb = reg.register(f"{prefix}.notb{bit}")
else:
a_bit = reg.get_id(f"{prefix}.$a[{bit}]")
notb = reg.get_id(f"{prefix}.$b[{bit}]")
cin = reg.get_id(f"{prefix}.$cin") if bit == 0 else reg.register(f"{prefix}.fa{bit-1}.or_carry")
fa_prefix = f"{prefix}.fa{bit}"
if '.xor1.layer1' in gate:
return [a_bit, notb if is_sub else reg.get_id(f"{prefix}.$b[{bit}]")]
if '.xor1.layer2' in gate:
return [reg.register(f"{fa_prefix}.xor1.layer1.or"), reg.register(f"{fa_prefix}.xor1.layer1.nand")]
if '.xor2.layer1' in gate:
return [reg.register(f"{fa_prefix}.xor1.layer2"), cin]
if '.xor2.layer2' in gate:
return [reg.register(f"{fa_prefix}.xor2.layer1.or"), reg.register(f"{fa_prefix}.xor2.layer1.nand")]
if '.and1' in gate:
return [a_bit, notb if is_sub else reg.get_id(f"{prefix}.$b[{bit}]")]
if '.and2' in gate:
return [reg.register(f"{fa_prefix}.xor1.layer2"), cin]
if '.or_carry' in gate:
return [reg.register(f"{fa_prefix}.and1"), reg.register(f"{fa_prefix}.and2")]
return []
def infer_sub8bit_inputs(gate: str, reg: SignalRegistry) -> List[int]:
prefix = "arithmetic.sub8bit"
for i in range(8):
reg.register(f"{prefix}.$a[{i}]")
reg.register(f"{prefix}.$b[{i}]")
if gate == f"{prefix}.carry_in":
return [reg.get_id("#1")]
if '.notb' in gate:
m = re.search(r'\.notb(\d+)', gate)
if m:
return [reg.get_id(f"{prefix}.$b[{int(m.group(1))}]")]
return []
m = re.search(r'\.fa(\d+)\.', gate)
if not m:
return []
bit = int(m.group(1))
a_bit = reg.get_id(f"{prefix}.$a[{bit}]")
notb = reg.register(f"{prefix}.notb{bit}")
cin = reg.get_id("#1") if bit == 0 else reg.register(f"{prefix}.fa{bit-1}.or_carry")
fa_prefix = f"{prefix}.fa{bit}"
if '.xor1.layer1' in gate:
return [a_bit, notb]
if '.xor1.layer2' in gate:
return [reg.register(f"{fa_prefix}.xor1.layer1.or"), reg.register(f"{fa_prefix}.xor1.layer1.nand")]
if '.xor2.layer1' in gate:
return [reg.register(f"{fa_prefix}.xor1.layer2"), cin]
if '.xor2.layer2' in gate:
return [reg.register(f"{fa_prefix}.xor2.layer1.or"), reg.register(f"{fa_prefix}.xor2.layer1.nand")]
if '.and1' in gate:
return [a_bit, notb]
if '.and2' in gate:
return [reg.register(f"{fa_prefix}.xor1.layer2"), cin]
if '.or_carry' in gate:
return [reg.register(f"{fa_prefix}.and1"), reg.register(f"{fa_prefix}.and2")]
return []
def infer_threshold_inputs(gate: str, reg: SignalRegistry) -> List[int]:
for i in range(8):
reg.register(f"$x[{i}]")
return [reg.get_id(f"$x[{i}]") for i in range(8)]
def infer_modular_inputs(gate: str, reg: SignalRegistry) -> List[int]:
for i in range(8):
reg.register(f"$x[{i}]")
if '.layer1' in gate or '.layer2' in gate or '.layer3' in gate:
if 'layer1.geq' in gate or 'layer1.leq' in gate:
return [reg.get_id(f"$x[{i}]") for i in range(8)]
if 'layer2.eq' in gate:
m = re.search(r'layer2\.eq(\d+)', gate)
if m:
idx = m.group(1)
parent = gate.rsplit('.layer2', 1)[0]
return [reg.register(f"{parent}.layer1.geq{idx}"), reg.register(f"{parent}.layer1.leq{idx}")]
if 'layer3.or' in gate:
parent = gate.rsplit('.layer3', 1)[0]
eq_gates = []
for i in range(256):
eq_gate = f"{parent}.layer2.eq{i}"
if eq_gate in reg.name_to_id:
eq_gates.append(reg.get_id(eq_gate))
return eq_gates if eq_gates else [reg.get_id(f"$x[{i}]") for i in range(8)]
return [reg.get_id(f"$x[{i}]") for i in range(8)]
def infer_control_jump_inputs(gate: str, prefix: str, reg: SignalRegistry) -> List[int]:
for i in range(8):
reg.register(f"{prefix}.$pc[{i}]")
reg.register(f"{prefix}.$target[{i}]")
flag = "$cond"
if "jz" in prefix:
flag = "$zero"
elif "jc" in prefix:
flag = "$carry"
elif "jn" in prefix and "jnc" not in prefix and "jnz" not in prefix and "jnv" not in prefix:
flag = "$negative"
elif "jv" in prefix and "jnv" not in prefix:
flag = "$overflow"
elif "jp" in prefix:
flag = "$positive"
elif "jnc" in prefix:
flag = "$not_carry"
elif "jnz" in prefix:
flag = "$not_zero"
elif "jnv" in prefix:
flag = "$not_overflow"
reg.register(f"{prefix}.{flag}")
m = re.search(r'\.bit(\d+)\.', gate)
if not m:
return []
bit = int(m.group(1))
bit_prefix = f"{prefix}.bit{bit}"
if '.not_sel' in gate:
return [reg.get_id(f"{prefix}.{flag}")]
if '.and_a' in gate:
return [reg.get_id(f"{prefix}.$pc[{bit}]"), reg.register(f"{bit_prefix}.not_sel")]
if '.and_b' in gate:
return [reg.get_id(f"{prefix}.$target[{bit}]"), reg.get_id(f"{prefix}.{flag}")]
if '.or' in gate:
return [reg.register(f"{bit_prefix}.and_a"), reg.register(f"{bit_prefix}.and_b")]
return []
def infer_buffer_inputs(gate: str, reg: SignalRegistry) -> List[int]:
m = re.search(r'\.bit(\d+)$', gate)
if m:
bit = int(m.group(1))
prefix = gate.rsplit('.bit', 1)[0]
return [reg.register(f"{prefix}.$data[{bit}]")]
return [reg.register("$data")]
def infer_memory_inputs(gate: str, reg: SignalRegistry) -> List[int]:
if 'addr_decode' in gate:
return [reg.register(f"$addr[{i}]") for i in range(16)]
if 'read' in gate:
return [reg.register("$mem"), reg.register("$sel")]
if 'write' in gate:
return [reg.register("$mem"), reg.register("$data"), reg.register("$sel"), reg.register("$we")]
return []
def infer_alu_inputs(gate: str, reg: SignalRegistry) -> List[int]:
for i in range(8):
reg.register(f"$a[{i}]")
reg.register(f"$b[{i}]")
for i in range(4):
reg.register(f"$opcode[{i}]")
if 'alucontrol' in gate:
return [reg.get_id(f"$opcode[{i}]") for i in range(4)]
if 'aluflags' in gate:
return [reg.register("$result"), reg.register("$carry"), reg.register("$overflow")]
if '.shl.bit' in gate:
m = re.search(r'bit(\d+)', gate)
if m:
bit = int(m.group(1))
if bit < 7:
return [reg.get_id(f"$a[{bit + 1}]")]
else:
return [reg.get_id("#0")]
return [reg.get_id(f"$a[{i}]") for i in range(8)]
if '.shr.bit' in gate:
m = re.search(r'bit(\d+)', gate)
if m:
bit = int(m.group(1))
if bit > 0:
return [reg.get_id(f"$a[{bit - 1}]")]
else:
return [reg.get_id("#0")]
return [reg.get_id(f"$a[{i}]") for i in range(8)]
if '.mul.pp.a' in gate:
m = re.search(r'a(\d+)b(\d+)', gate)
if m:
i, j = int(m.group(1)), int(m.group(2))
return [reg.get_id(f"$a[{i}]"), reg.get_id(f"$b[{j}]")]
return [reg.get_id(f"$a[{i}]") for i in range(8)] + [reg.get_id(f"$b[{i}]") for i in range(8)]
if '.mul.' in gate:
return [reg.get_id(f"$a[{i}]") for i in range(8)] + [reg.get_id(f"$b[{i}]") for i in range(8)]
if '.div.stage' in gate:
if '.cmp' in gate:
return [reg.get_id(f"$a[{i}]") for i in range(8)] + [reg.get_id(f"$b[{i}]") for i in range(8)]
if '.mux.bit' in gate:
m = re.search(r'stage(\d+)\.mux\.bit(\d+)', gate)
if m:
stage, bit = int(m.group(1)), int(m.group(2))
prefix = f"alu.alu8bit.div.stage{stage}"
if '.not_sel' in gate:
return [reg.register(f"{prefix}.cmp")]
if '.and_a' in gate:
return [reg.register(f"$rem[{bit}]"), reg.register(f"{prefix}.mux.bit{bit}.not_sel")]
if '.and_b' in gate:
return [reg.register(f"$sub[{bit}]"), reg.register(f"{prefix}.cmp")]
if '.or' in gate:
return [reg.register(f"{prefix}.mux.bit{bit}.and_a"), reg.register(f"{prefix}.mux.bit{bit}.and_b")]
return [reg.get_id(f"$a[{i}]") for i in range(8)] + [reg.get_id(f"$b[{i}]") for i in range(8)]
if '.inc.bit' in gate:
m = re.search(r'bit(\d+)', gate)
if m:
bit = int(m.group(1))
prefix = f"alu.alu8bit.inc.bit{bit}"
if 'layer1' in gate:
if bit == 7:
return [reg.get_id(f"$a[{bit}]"), reg.get_id("#1")]
else:
return [reg.get_id(f"$a[{bit}]"), reg.register(f"alu.alu8bit.inc.bit{bit+1}.carry")]
if 'layer2' in gate:
return [reg.register(f"{prefix}.xor.layer1.or"), reg.register(f"{prefix}.xor.layer1.nand")]
if '.carry' in gate:
if bit == 7:
return [reg.get_id(f"$a[{bit}]"), reg.get_id("#1")]
else:
return [reg.get_id(f"$a[{bit}]"), reg.register(f"alu.alu8bit.inc.bit{bit+1}.carry")]
return [reg.get_id(f"$a[{i}]") for i in range(8)]
if '.dec.bit' in gate:
m = re.search(r'bit(\d+)', gate)
if m:
bit = int(m.group(1))
prefix = f"alu.alu8bit.dec.bit{bit}"
if '.not_a' in gate:
return [reg.get_id(f"$a[{bit}]")]
if 'layer1' in gate:
if bit == 7:
return [reg.get_id(f"$a[{bit}]"), reg.get_id("#1")]
else:
return [reg.get_id(f"$a[{bit}]"), reg.register(f"alu.alu8bit.dec.bit{bit+1}.borrow")]
if 'layer2' in gate:
return [reg.register(f"{prefix}.xor.layer1.or"), reg.register(f"{prefix}.xor.layer1.nand")]
if '.borrow' in gate:
if bit == 7:
return [reg.register(f"{prefix}.not_a"), reg.get_id("#1")]
else:
return [reg.register(f"{prefix}.not_a"), reg.register(f"alu.alu8bit.dec.bit{bit+1}.borrow")]
return [reg.get_id(f"$a[{i}]") for i in range(8)]
if '.neg.' in gate:
m = re.search(r'bit(\d+)', gate)
if m:
bit = int(m.group(1))
if '.not.bit' in gate:
return [reg.get_id(f"$a[{bit}]")]
prefix = f"alu.alu8bit.neg.inc.bit{bit}"
not_bit = f"alu.alu8bit.neg.not.bit{bit}"
if 'layer1' in gate:
if bit == 7:
return [reg.register(not_bit), reg.get_id("#1")]
else:
return [reg.register(not_bit), reg.register(f"alu.alu8bit.neg.inc.bit{bit+1}.carry")]
if 'layer2' in gate:
return [reg.register(f"{prefix}.xor.layer1.or"), reg.register(f"{prefix}.xor.layer1.nand")]
if '.carry' in gate:
if bit == 7:
return [reg.register(not_bit), reg.get_id("#1")]
else:
return [reg.register(not_bit), reg.register(f"alu.alu8bit.neg.inc.bit{bit+1}.carry")]
return [reg.get_id(f"$a[{i}]") for i in range(8)]
if '.rol.bit' in gate:
m = re.search(r'bit(\d+)', gate)
if m:
bit = int(m.group(1))
src = (bit + 1) % 8
return [reg.get_id(f"$a[{src}]")]
return [reg.get_id(f"$a[{i}]") for i in range(8)]
if '.ror.bit' in gate:
m = re.search(r'bit(\d+)', gate)
if m:
bit = int(m.group(1))
src = (bit - 1) % 8
return [reg.get_id(f"$a[{src}]")]
return [reg.get_id(f"$a[{i}]") for i in range(8)]
if '.and' in gate or '.or' in gate or '.xor' in gate:
m = re.search(r'bit(\d+)', gate)
if m:
bit = int(m.group(1))
return [reg.get_id(f"$a[{bit}]"), reg.get_id(f"$b[{bit}]")]
return [reg.get_id(f"$a[{i}]") for i in range(8)] + [reg.get_id(f"$b[{i}]") for i in range(8)]
if '.not' in gate:
m = re.search(r'bit(\d+)', gate)
if m:
return [reg.get_id(f"$a[{int(m.group(1))}]")]
return [reg.get_id(f"$a[{i}]") for i in range(8)]
if 'layer1' in gate or 'layer2' in gate:
m = re.search(r'bit(\d+)', gate)
if m:
bit = int(m.group(1))
if 'layer1' in gate:
return [reg.get_id(f"$a[{bit}]"), reg.get_id(f"$b[{bit}]")]
parent = gate.rsplit('.layer2', 1)[0]
return [reg.register(f"{parent}.layer1.or"), reg.register(f"{parent}.layer1.nand")]
return [reg.get_id(f"$a[{i}]") for i in range(8)]
def infer_pattern_inputs(gate: str, reg: SignalRegistry) -> List[int]:
for i in range(8):
reg.register(f"$x[{i}]")
if 'hammingdistance' in gate:
for i in range(8):
reg.register(f"$a[{i}]")
reg.register(f"$b[{i}]")
return [reg.get_id(f"$a[{i}]") for i in range(8)] + [reg.get_id(f"$b[{i}]") for i in range(8)]
return [reg.get_id(f"$x[{i}]") for i in range(8)]
def infer_error_detection_inputs(gate: str, reg: SignalRegistry) -> List[int]:
for i in range(8):
reg.register(f"$x[{i}]")
if 'hamming' in gate:
if 'encode' in gate:
for i in range(4):
reg.register(f"$d[{i}]")
return [reg.get_id(f"$d[{i}]") for i in range(4)]
if 'decode' in gate or 'syndrome' in gate:
for i in range(7):
reg.register(f"$c[{i}]")
return [reg.get_id(f"$c[{i}]") for i in range(7)]
if 'crc' in gate:
return [reg.register(f"$data[{i}]") for i in range(8)]
if 'parity' in gate and 'stage' in gate:
m = re.search(r'stage(\d+)\.xor(\d+)', gate)
if m:
stage = int(m.group(1))
idx = int(m.group(2))
if stage == 1:
return [reg.get_id(f"$x[{2*idx}]"), reg.get_id(f"$x[{2*idx+1}]")]
parent = gate.rsplit(f'.stage{stage}', 1)[0]
prev_stage = stage - 1
return [
reg.register(f"{parent}.stage{prev_stage}.xor{2*idx}.layer2"),
reg.register(f"{parent}.stage{prev_stage}.xor{2*idx+1}.layer2")
]
if 'output.not' in gate:
parent = gate.rsplit('.output', 1)[0]
return [reg.register(f"{parent}.stage3.xor0.layer2")]
return [reg.get_id(f"$x[{i}]") for i in range(8)]
def infer_combinational_inputs(gate: str, reg: SignalRegistry) -> List[int]:
if 'decoder3to8' in gate:
for i in range(3):
reg.register(f"$sel[{i}]")
return [reg.get_id(f"$sel[{i}]") for i in range(3)]
if 'encoder8to3' in gate:
for i in range(8):
reg.register(f"$x[{i}]")
return [reg.get_id(f"$x[{i}]") for i in range(8)]
if 'multiplexer' in gate:
if '2to1' in gate:
return [reg.register("$a"), reg.register("$b"), reg.register("$sel")]
if '4to1' in gate:
return [reg.register(f"$x[{i}]") for i in range(4)] + [reg.register(f"$sel[{i}]") for i in range(2)]
if '8to1' in gate:
return [reg.register(f"$x[{i}]") for i in range(8)] + [reg.register(f"$sel[{i}]") for i in range(3)]
if 'demultiplexer' in gate:
return [reg.register("$x"), reg.register("$sel")]
if 'regmux4to1' in gate:
for r in range(4):
for i in range(8):
reg.register(f"$r{r}[{i}]")
for i in range(2):
reg.register(f"$sel[{i}]")
if gate == "combinational.regmux4to1.not_s0":
return [reg.get_id("$sel[0]")]
if gate == "combinational.regmux4to1.not_s1":
return [reg.get_id("$sel[1]")]
m = re.search(r'bit(\d+)', gate)
if m:
bit = int(m.group(1))
if '.not_s' in gate:
sidx = 0 if 's0' in gate else 1
return [reg.get_id(f"$sel[{sidx}]")]
if '.and' in gate:
and_m = re.search(r'\.and(\d+)', gate)
if and_m:
and_idx = int(and_m.group(1))
sel0 = "combinational.regmux4to1.not_s0" if (and_idx & 1) == 0 else "$sel[0]"
sel1 = "combinational.regmux4to1.not_s1" if (and_idx & 2) == 0 else "$sel[1]"
return [reg.get_id(f"$r{and_idx}[{bit}]"), reg.register(sel0), reg.register(sel1)]
if '.or' in gate:
return [reg.register(f"combinational.regmux4to1.bit{bit}.and{i}") for i in range(4)]
return []
if 'barrelshifter' in gate:
for i in range(8):
reg.register(f"$x[{i}]")
for i in range(3):
reg.register(f"$shift[{i}]")
m = re.search(r'layer(\d+)\.bit(\d+)', gate)
if m:
layer, bit = int(m.group(1)), int(m.group(2))
shift_amount = 1 << (2 - layer)
prefix = f"combinational.barrelshifter.layer{layer}.bit{bit}"
if '.not_sel' in gate:
return [reg.get_id(f"$shift[{2 - layer}]")]
if '.and_a' in gate:
if layer == 0:
return [reg.get_id(f"$x[{bit}]"), reg.register(f"{prefix}.not_sel")]
else:
prev_prefix = f"combinational.barrelshifter.layer{layer-1}.bit{bit}"
return [reg.register(f"{prev_prefix}.or"), reg.register(f"{prefix}.not_sel")]
if '.and_b' in gate:
src = (bit + shift_amount) % 8
if layer == 0:
return [reg.get_id(f"$x[{src}]"), reg.get_id(f"$shift[{2 - layer}]")]
else:
prev_prefix = f"combinational.barrelshifter.layer{layer-1}.bit{src}"
return [reg.register(f"{prev_prefix}.or"), reg.get_id(f"$shift[{2 - layer}]")]
if '.or' in gate:
return [reg.register(f"{prefix}.and_a"), reg.register(f"{prefix}.and_b")]
return [reg.get_id(f"$x[{i}]") for i in range(8)]
if 'priorityencoder' in gate:
for i in range(8):
reg.register(f"$x[{i}]")
if '.any_ge' in gate:
m = re.search(r'any_ge(\d+)', gate)
if m:
pos = int(m.group(1))
return [reg.get_id(f"$x[{i}]") for i in range(pos, 8)]
if '.is_highest' in gate:
m = re.search(r'is_highest(\d+)', gate)
if m:
pos = int(m.group(1))
if '.not_higher' in gate:
if pos == 0:
return [reg.get_id("#0")]
else:
return [reg.register(f"combinational.priorityencoder.any_ge{pos-1}")]
if '.and' in gate:
return [reg.get_id(f"$x[{pos}]"), reg.register(f"combinational.priorityencoder.is_highest{pos}.not_higher")]
if '.out' in gate:
m = re.search(r'out(\d+)', gate)
if m:
out_bit = int(m.group(1))
inputs = []
for pos in range(8):
if (pos >> out_bit) & 1:
inputs.append(reg.register(f"combinational.priorityencoder.is_highest{pos}.and"))
return inputs
if '.valid' in gate:
return [reg.get_id(f"$x[{i}]") for i in range(8)]
return [reg.get_id(f"$x[{i}]") for i in range(8)]
return []
def infer_inputs_for_gate(gate: str, reg: SignalRegistry, tensors: Dict[str, torch.Tensor]) -> List[int]:
if gate.startswith('manifest.'):
return []
if gate.startswith('boolean.'):
return infer_boolean_inputs(gate, reg)
if gate.startswith('arithmetic.'):
if 'halfadder' in gate:
return infer_halfadder_inputs(gate, "arithmetic.halfadder", reg)
if 'fulladder' in gate:
return infer_fulladder_inputs(gate, "arithmetic.fulladder", reg)
if 'ripplecarry2bit' in gate:
return infer_ripplecarry_inputs(gate, "arithmetic.ripplecarry2bit", 2, reg)
if 'ripplecarry4bit' in gate:
return infer_ripplecarry_inputs(gate, "arithmetic.ripplecarry4bit", 4, reg)
if 'ripplecarry8bit' in gate:
return infer_ripplecarry_inputs(gate, "arithmetic.ripplecarry8bit", 8, reg)
if 'add3_8bit' in gate:
return infer_add3_inputs(gate, reg)
if 'expr_add_mul' in gate and 'paren' not in gate:
return infer_expr_add_mul_inputs(gate, reg)
if 'expr_paren_add_mul' in gate:
return infer_expr_paren_add_mul_inputs(gate, reg)
if 'adc8bit' in gate:
return infer_adcsbc_inputs(gate, "arithmetic.adc8bit", False, reg)
if 'sbc8bit' in gate:
return infer_adcsbc_inputs(gate, "arithmetic.sbc8bit", True, reg)
if 'sub8bit' in gate:
return infer_sub8bit_inputs(gate, reg)
if any(cmp in gate for cmp in ['greaterthan8bit', 'lessthan8bit', 'greaterorequal8bit', 'lessorequal8bit']):
for i in range(8):
reg.register(f"$a[{i}]")
reg.register(f"$b[{i}]")
return [reg.get_id(f"$a[{i}]") for i in range(8)] + [reg.get_id(f"$b[{i}]") for i in range(8)]
if 'equality8bit' in gate:
for i in range(8):
reg.register(f"$a[{i}]")
reg.register(f"$b[{i}]")
if 'layer1' in gate:
return [reg.get_id(f"$a[{i}]") for i in range(8)] + [reg.get_id(f"$b[{i}]") for i in range(8)]
if 'layer2' in gate:
return [reg.register("arithmetic.equality8bit.layer1.geq"), reg.register("arithmetic.equality8bit.layer1.leq")]
return [reg.get_id(f"$a[{i}]") for i in range(8)] + [reg.get_id(f"$b[{i}]") for i in range(8)]
for i in range(8):
reg.register(f"$a[{i}]")
reg.register(f"$b[{i}]")
return [reg.get_id(f"$a[{i}]") for i in range(8)]
if gate.startswith('threshold.'):
return infer_threshold_inputs(gate, reg)
if gate.startswith('modular.'):
return infer_modular_inputs(gate, reg)
if gate.startswith('control.'):
if any(j in gate for j in ['jz', 'jc', 'jn', 'jv', 'jp', 'jnz', 'jnc', 'jnv', 'conditionaljump']):
prefix = gate.split('.bit')[0] if '.bit' in gate else gate.rsplit('.', 1)[0]
return infer_control_jump_inputs(gate, prefix, reg)
if any(b in gate for b in ['fetch', 'load', 'store', 'mem_addr']):
return infer_buffer_inputs(gate, reg)
if 'push.sp_dec' in gate or 'pop.sp_inc' in gate:
for i in range(16):
reg.register(f"$sp[{i}]")
m = re.search(r'bit(\d+)', gate)
if m:
bit = int(m.group(1))
op = 'push.sp_dec' if 'push' in gate else 'pop.sp_inc'
prefix = f"control.{op}.bit{bit}"
if 'layer1' in gate:
if bit == 15:
return [reg.get_id(f"$sp[{bit}]"), reg.get_id("#1")]
else:
carry_name = 'borrow' if 'push' in gate else 'carry'
return [reg.get_id(f"$sp[{bit}]"), reg.register(f"control.{op}.bit{bit+1}.{carry_name}")]
if 'layer2' in gate:
return [reg.register(f"{prefix}.xor.layer1.or"), reg.register(f"{prefix}.xor.layer1.nand")]
if '.borrow' in gate or '.carry' in gate:
if bit == 15:
return [reg.get_id(f"$sp[{bit}]"), reg.get_id("#1")]
else:
carry_name = 'borrow' if 'push' in gate else 'carry'
return [reg.get_id(f"$sp[{bit}]"), reg.register(f"control.{op}.bit{bit+1}.{carry_name}")]
return [reg.get_id(f"$sp[{i}]") for i in range(16)]
if 'ret.addr' in gate:
m = re.search(r'bit(\d+)', gate)
if m:
bit = int(m.group(1))
return [reg.register(f"$ret_addr[{bit}]")]
return [reg.register(f"$ret_addr[{i}]") for i in range(16)]
return [reg.register("$ctrl")]
if gate.startswith('memory.'):
return infer_memory_inputs(gate, reg)
if gate.startswith('alu.'):
return infer_alu_inputs(gate, reg)
if gate.startswith('pattern_recognition.'):
return infer_pattern_inputs(gate, reg)
if gate.startswith('error_detection.'):
return infer_error_detection_inputs(gate, reg)
if gate.startswith('combinational.'):
return infer_combinational_inputs(gate, reg)
weight_key = f"{gate}.weight"
if weight_key in tensors:
w = tensors[weight_key]
n_inputs = w.shape[0] if w.dim() == 1 else w.shape[-1]
for i in range(n_inputs):
reg.register(f"$input[{i}]")
return [reg.get_id(f"$input[{i}]") for i in range(n_inputs)]
return []
def build_inputs(tensors: Dict[str, torch.Tensor]) -> tuple[Dict[str, torch.Tensor], SignalRegistry, dict]:
reg = SignalRegistry()
gates = get_all_gates(tensors)
stats = {"added": 0, "skipped": 0, "empty": 0}
for gate in sorted(gates):
inputs_key = f"{gate}.inputs"
if inputs_key in tensors:
stats["skipped"] += 1
continue
inputs = infer_inputs_for_gate(gate, reg, tensors)
if inputs:
tensors[inputs_key] = torch.tensor(inputs, dtype=torch.int64)
stats["added"] += 1
else:
stats["empty"] += 1
return tensors, reg, stats
def resolve_memory_config(args) -> tuple:
"""Resolve memory configuration from args, returns (addr_bits, mem_bytes)."""
if hasattr(args, 'memory_profile') and args.memory_profile:
addr_bits = MEMORY_PROFILES[args.memory_profile]
elif hasattr(args, 'addr_bits') and args.addr_bits is not None:
addr_bits = args.addr_bits
else:
addr_bits = DEFAULT_ADDR_BITS
mem_bytes = (1 << addr_bits) if addr_bits > 0 else 0
return addr_bits, mem_bytes
def cmd_memory(args) -> None:
addr_bits, mem_bytes = resolve_memory_config(args)
print("=" * 60)
print(" BUILD MEMORY CIRCUITS")
print("=" * 60)
print(f"\nMemory configuration:")
print(f" Address bits: {addr_bits}")
print(f" Memory bytes: {mem_bytes:,}")
if addr_bits == 0:
print(f" Mode: PURE ALU (no memory)")
elif addr_bits <= 4:
print(f" Mode: LLM registers")
elif addr_bits <= 8:
print(f" Mode: LLM scratchpad")
elif addr_bits <= 12:
print(f" Mode: Reduced CPU")
else:
print(f" Mode: Full CPU")
print(f"\nLoading: {args.model}")
tensors = load_tensors(args.model)
print(f" Loaded {len(tensors)} tensors")
print("\nDropping existing memory/control tensors...")
drop_prefixes(tensors, [
"memory.addr_decode.", "memory.read.", "memory.write.",
"control.fetch.ir.", "control.load.", "control.store.", "control.mem_addr.",
"control.push.", "control.pop.", "control.ret.",
"control.jz.", "control.jnz.", "control.jc.", "control.jnc.",
"control.jp.", "control.jn.", "control.jv.", "control.jnv.",
"flags.",
])
print(f" Now {len(tensors)} tensors")
if addr_bits > 0:
print("\nGenerating memory circuits...")
add_decoder(tensors, addr_bits, mem_bytes)
add_memory_read_mux(tensors, mem_bytes)
add_memory_write_cells(tensors, mem_bytes)
print(" Added decoder, read mux, write cells")
print("\nGenerating buffer gates...")
try:
add_fetch_load_store_buffers(tensors, args.bits, addr_bits)
print(f" Added fetch/load/store/mem_addr buffers ({args.bits}-bit data, {addr_bits}-bit addr)")
except ValueError as e:
print(f" Buffers already exist: {e}")
print("\nGenerating stack operation circuits...")
try:
add_stack_ops(tensors, args.bits, addr_bits)
sp_gates = addr_bits * 4 * 2 # SP inc/dec gates
data_gates = args.bits * 2 # PUSH/POP data buffers
ret_gates = addr_bits # RET address buffers
total_gates = sp_gates + data_gates + ret_gates
print(f" Added PUSH/POP/RET ({total_gates} gates: {args.bits}-bit data, {addr_bits}-bit SP)")
except ValueError as e:
print(f" Stack ops already exist: {e}")
print("\nGenerating conditional jump circuits...")
try:
add_conditional_jumps(tensors, addr_bits)
jump_gates = 8 * addr_bits * 4 # 8 jump types × addr_bits × 4 gates each
print(f" Added JZ/JNZ/JC/JNC/JP/JN/JV/JNV ({jump_gates} gates: {addr_bits}-bit addresses)")
except ValueError as e:
print(f" Conditional jumps already exist: {e}")
print("\nGenerating status flag circuits...")
try:
add_status_flags(tensors, args.bits)
print(f" Added Z/N/C/V flags ({args.bits}-bit aware)")
except ValueError as e:
print(f" Status flags already exist: {e}")
else:
print("\nSkipping memory circuits (addr_bits=0, pure ALU mode)")
print("\nUpdating manifest...")
update_manifest(tensors, args.bits, addr_bits, mem_bytes)
print(f" data_bits={args.bits}, addr_bits={addr_bits}, memory_bytes={mem_bytes:,}")
if args.apply:
print(f"\nSaving: {args.model}")
save_file(tensors, str(args.model))
if args.manifest:
write_manifest(MANIFEST_PATH, tensors)
print(f" Wrote manifest: {MANIFEST_PATH}")
print(" Done.")
else:
print("\n[DRY-RUN] Use --apply to save.")
print(f"\nTotal: {len(tensors)} tensors")
mem_params = sum(t.numel() for k, t in tensors.items() if k.startswith("memory."))
alu_params = sum(t.numel() for k, t in tensors.items() if not k.startswith("memory.") and not k.startswith("manifest."))
print(f" Memory params: {mem_params:,}")
print(f" ALU/Logic params: {alu_params:,}")
print("=" * 60)
def cmd_inputs(args) -> None:
print("=" * 60)
print(" BUILD .inputs TENSORS")
print("=" * 60)
print(f"\nLoading: {args.model}")
tensors = load_tensors(args.model)
print(f" Loaded {len(tensors)} tensors")
gates = get_all_gates(tensors)
print(f" Found {len(gates)} gates")
print("\nBuilding .inputs tensors...")
tensors, reg, stats = build_inputs(tensors)
print(f"\nResults:")
print(f" Added: {stats['added']}")
print(f" Skipped: {stats['skipped']}")
print(f" Empty: {stats['empty']}")
print(f" Signals: {len(reg.name_to_id)}")
print(f" Total: {len(tensors)}")
if args.apply:
print(f"\nSaving: {args.model}")
metadata = {"signal_registry": reg.to_metadata()}
save_file(tensors, str(args.model), metadata=metadata)
print(" Done.")
else:
print("\n[DRY-RUN] Use --apply to save.")
print("=" * 60)
def cmd_alu(args) -> None:
bits = getattr(args, 'bits', 8) or 8
print("=" * 60)
print(f" BUILD ALU CIRCUITS ({bits}-bit)")
print("=" * 60)
print(f"\nLoading: {args.model}")
tensors = load_tensors(args.model)
print(f" Loaded {len(tensors)} tensors")
drop_list = [
"alu.alu8bit.shl.", "alu.alu8bit.shr.",
"alu.alu8bit.mul.", "alu.alu8bit.div.",
"alu.alu8bit.inc.", "alu.alu8bit.dec.",
"alu.alu8bit.neg.", "alu.alu8bit.rol.", "alu.alu8bit.ror.",
"arithmetic.greaterthan8bit.", "arithmetic.lessthan8bit.",
"arithmetic.greaterorequal8bit.", "arithmetic.lessorequal8bit.",
"arithmetic.equality8bit.", "arithmetic.add3_8bit.", "arithmetic.expr_add_mul.", "arithmetic.expr_paren.",
"combinational.barrelshifter.", "combinational.priorityencoder.",
"float16.", "float32.",
]
if bits in [16, 32]:
drop_list.extend([
f"alu.alu{bits}bit.", f"arithmetic.ripplecarry{bits}bit.",
f"arithmetic.sub{bits}bit.", f"arithmetic.greaterthan{bits}bit.",
f"arithmetic.lessthan{bits}bit.", f"arithmetic.greaterorequal{bits}bit.",
f"arithmetic.lessorequal{bits}bit.", f"arithmetic.equality{bits}bit.",
])
print("\nDropping existing ALU extension tensors...")
drop_prefixes(tensors, drop_list)
print(f" Now {len(tensors)} tensors")
print("\nGenerating SHL/SHR circuits...")
try:
add_shl_shr(tensors)
print(" Added SHL (8 gates), SHR (8 gates)")
except ValueError as e:
print(f" SHL/SHR already exist: {e}")
print("\nGenerating MUL circuit...")
try:
add_mul(tensors)
print(" Added MUL (64 partial product AND gates)")
except ValueError as e:
print(f" MUL already exists: {e}")
print("\nGenerating DIV circuit...")
try:
add_div(tensors)
print(" Added DIV (8 stages x comparison + mux)")
except ValueError as e:
print(f" DIV already exists: {e}")
print("\nGenerating INC/DEC circuits...")
try:
add_inc_dec(tensors)
print(" Added INC (32 gates), DEC (40 gates)")
except ValueError as e:
print(f" INC/DEC already exist: {e}")
print("\nGenerating NEG circuit...")
try:
add_neg(tensors)
print(" Added NEG (40 gates)")
except ValueError as e:
print(f" NEG already exists: {e}")
print("\nGenerating ROL/ROR circuits...")
try:
add_rol_ror(tensors)
print(" Added ROL (8 gates), ROR (8 gates)")
except ValueError as e:
print(f" ROL/ROR already exist: {e}")
print("\nGenerating barrel shifter...")
try:
add_barrel_shifter(tensors)
print(" Added barrel shifter (96 gates)")
except ValueError as e:
print(f" Barrel shifter already exists: {e}")
print("\nGenerating priority encoder...")
try:
add_priority_encoder(tensors)
print(" Added priority encoder (28 gates)")
except ValueError as e:
print(f" Priority encoder already exists: {e}")
print("\nGenerating comparator circuits...")
try:
add_comparators(tensors)
print(" Added GT, GE, LT, LE (single-layer), EQ (two-layer)")
except ValueError as e:
print(f" Comparators already exist: {e}")
print("\nGenerating 3-operand adder circuit...")
try:
add_add3(tensors)
print(" Added ADD3 (16 full adders = 144 gates)")
except ValueError as e:
print(f" ADD3 already exists: {e}")
print("\nGenerating expression A + B × C circuit...")
try:
add_expr_add_mul(tensors)
print(" Added EXPR_ADD_MUL (64 AND + 56 + 8 full adders = 640 gates)")
except ValueError as e:
print(f" EXPR_ADD_MUL already exists: {e}")
print("\nGenerating expression (A + B) × C circuit...")
try:
add_expr_paren(tensors)
print(" Added EXPR_PAREN (8 + 64 AND + 56 full adders = 640 gates)")
except ValueError as e:
print(f" EXPR_PAREN already exists: {e}")
if bits in [16, 32]:
print(f"\n{'=' * 60}")
print(f" GENERATING {bits}-BIT CIRCUITS")
print(f"{'=' * 60}")
print(f"\nGenerating {bits}-bit ripple carry adder...")
try:
add_ripple_carry_nbits(tensors, bits)
print(f" Added {bits}-bit adder ({bits} full adders = {bits * 9} gates)")
except ValueError as e:
print(f" {bits}-bit adder already exists: {e}")
print(f"\nGenerating {bits}-bit subtractor...")
try:
add_sub_nbits(tensors, bits)
print(f" Added {bits}-bit subtractor ({bits} NOT + {bits} full adders)")
except ValueError as e:
print(f" {bits}-bit subtractor already exists: {e}")
print(f"\nGenerating {bits}-bit comparators...")
try:
add_comparators_nbits(tensors, bits)
print(f" Added {bits}-bit GT, GE, LT, LE, EQ")
except ValueError as e:
print(f" {bits}-bit comparators already exist: {e}")
print(f"\nGenerating {bits}-bit multiplication...")
try:
add_mul_nbits(tensors, bits)
print(f" Added {bits}-bit MUL ({bits * bits} partial product AND gates)")
except ValueError as e:
print(f" {bits}-bit MUL already exists: {e}")
print(f"\nGenerating {bits}-bit division...")
try:
add_div_nbits(tensors, bits)
print(f" Added {bits}-bit DIV ({bits} stages)")
except ValueError as e:
print(f" {bits}-bit DIV already exists: {e}")
print(f"\nGenerating {bits}-bit bitwise ops (AND, OR, XOR, NOT)...")
try:
add_bitwise_nbits(tensors, bits)
print(f" Added {bits}-bit AND, OR, XOR, NOT")
except ValueError as e:
print(f" {bits}-bit bitwise ops already exist: {e}")
print(f"\nGenerating {bits}-bit shift ops (SHL, SHR)...")
try:
add_shift_nbits(tensors, bits)
print(f" Added {bits}-bit SHL, SHR")
except ValueError as e:
print(f" {bits}-bit shift ops already exist: {e}")
print(f"\nGenerating {bits}-bit INC/DEC...")
try:
add_inc_dec_nbits(tensors, bits)
print(f" Added {bits}-bit INC, DEC")
except ValueError as e:
print(f" {bits}-bit INC/DEC already exist: {e}")
print(f"\nGenerating {bits}-bit NEG...")
try:
add_neg_nbits(tensors, bits)
print(f" Added {bits}-bit NEG")
except ValueError as e:
print(f" {bits}-bit NEG already exists: {e}")
print(f"\nGenerating {bits}-bit barrel shifter...")
try:
add_barrel_shifter_nbits(tensors, bits)
import math
num_layers = max(1, math.ceil(math.log2(bits)))
print(f" Added {bits}-bit barrel shifter ({num_layers} layers x {bits} muxes)")
except ValueError as e:
print(f" {bits}-bit barrel shifter already exists: {e}")
print(f"\nGenerating {bits}-bit priority encoder...")
try:
add_priority_encoder_nbits(tensors, bits)
import math
out_bits = max(1, math.ceil(math.log2(bits)))
print(f" Added {bits}-bit priority encoder ({out_bits}-bit output)")
except ValueError as e:
print(f" {bits}-bit priority encoder already exists: {e}")
print(f"\n{'=' * 60}")
print(f" GENERATING FLOAT CIRCUITS")
print(f"{'=' * 60}")
print("\nGenerating float16 core circuits...")
try:
add_float16_core(tensors)
print(" Added float16 unpack/pack/classify/normalize")
except ValueError as e:
print(f" float16 core already exists: {e}")
print("\nGenerating float16 ADD circuit...")
try:
add_float16_add(tensors)
print(" Added float16 addition (exp align + mantissa add/sub)")
except ValueError as e:
print(f" float16 ADD already exists: {e}")
print("\nGenerating float16 MUL circuit...")
try:
add_float16_mul(tensors)
print(" Added float16 multiplication (11x11 mantissa mul)")
except ValueError as e:
print(f" float16 MUL already exists: {e}")
print("\nGenerating float16 DIV circuit...")
try:
add_float16_div(tensors)
print(" Added float16 division (11-stage restoring div)")
except ValueError as e:
print(f" float16 DIV already exists: {e}")
print("\nGenerating float16 CMP circuits...")
try:
add_float16_cmp(tensors)
print(" Added float16 comparisons (EQ, LT, LE, GT, GE)")
except ValueError as e:
print(f" float16 CMP already exists: {e}")
print("\nGenerating float32 core circuits...")
try:
add_float32_core(tensors)
print(" Added float32 unpack/pack/classify/normalize")
except ValueError as e:
print(f" float32 core already exists: {e}")
print("\nGenerating float32 ADD circuit...")
try:
add_float32_add(tensors)
print(" Added float32 addition (exp align + mantissa add/sub)")
except ValueError as e:
print(f" float32 ADD already exists: {e}")
print("\nGenerating float32 MUL circuit...")
try:
add_float32_mul(tensors)
print(" Added float32 multiplication (24x24 mantissa mul)")
except ValueError as e:
print(f" float32 MUL already exists: {e}")
print("\nGenerating float32 DIV circuit...")
try:
add_float32_div(tensors)
print(" Added float32 division (24-stage restoring div)")
except ValueError as e:
print(f" float32 DIV already exists: {e}")
print("\nGenerating float32 CMP circuits...")
try:
add_float32_cmp(tensors)
print(" Added float32 comparisons (EQ, LT, LE, GT, GE)")
except ValueError as e:
print(f" float32 CMP already exists: {e}")
if args.apply:
print(f"\nSaving: {args.model}")
save_file(tensors, str(args.model))
print(" Done.")
else:
print("\n[DRY-RUN] Use --apply to save.")
print(f"\nTotal: {len(tensors)} tensors")
total_params = sum(t.numel() for t in tensors.values())
print(f"Total params: {total_params:,}")
print("=" * 60)
def cmd_all(args) -> None:
print("Running: memory")
cmd_memory(args)
print("\nRunning: alu")
cmd_alu(args)
print("\nRunning: inputs")
cmd_inputs(args)
def main() -> None:
parser = argparse.ArgumentParser(
description="Build tools for threshold computer safetensors",
formatter_class=argparse.RawDescriptionHelpFormatter,
epilog="""
Memory Profiles:
full 64KB (16-bit addr) - Full CPU mode
reduced 4KB (12-bit addr) - Reduced CPU
small 1KB (10-bit addr) - 32-bit arithmetic scratch
scratchpad 256B (8-bit addr) - LLM scratchpad
registers 16B (4-bit addr) - LLM register file
none 0B (no memory) - Pure ALU for LLM
ALU Bit Widths:
8 Standard 8-bit ALU (default)
16 16-bit ALU (0-65535)
32 32-bit ALU (0-4294967295)
Output Filenames (auto-generated from config):
Format: neural_{alu|computer}{BITS}[_{MEMORY}].safetensors
Memory suffix:
-m full -> (none)
-m reduced -> _reduced
-m small -> _small
-m scratchpad -> _scratchpad
-m registers -> _registers
-m none -> (uses "alu" instead of "computer")
-a N -> _addrN
Examples:
neural_alu8.safetensors # 8-bit, no memory
neural_alu16.safetensors # 16-bit, no memory
neural_alu32.safetensors # 32-bit, no memory
neural_computer8.safetensors # 8-bit, full memory
neural_computer16.safetensors # 16-bit, full memory
neural_computer32.safetensors # 32-bit, full memory
neural_computer8_reduced.safetensors # 8-bit, reduced memory
neural_computer32_reduced.safetensors# 32-bit, reduced memory
neural_computer8_small.safetensors # 8-bit, small memory
neural_computer32_small.safetensors # 32-bit, small memory
neural_computer8_addr12.safetensors # 8-bit, custom 12-bit address
neural_computer32_addr10.safetensors # 32-bit, custom 10-bit address
Usage (note: options must come BEFORE subcommand):
python build.py --apply all # -> neural_computer8.safetensors
python build.py -m none --apply all # -> neural_alu8.safetensors
python build.py -m reduced --apply all # -> neural_computer8_reduced.safetensors
python build.py --bits 16 --apply all # -> neural_computer16.safetensors
python build.py --bits 32 --apply all # -> neural_computer32.safetensors
python build.py --bits 32 -m none --apply all # -> neural_alu32.safetensors
python build.py --bits 32 -m small --apply all # -> neural_computer32_small.safetensors
python build.py --bits 32 -a 10 --apply all # -> neural_computer32_addr10.safetensors
"""
)
parser.add_argument(
"--model", type=Path, default=None,
help="Output path. Auto-generated as neural_{alu|computer}{BITS}[_{MEMORY}].safetensors if not specified"
)
parser.add_argument(
"--apply", action="store_true",
help="Apply changes to model file. Without this flag, runs in dry-run mode (no writes)"
)
parser.add_argument(
"--manifest", action="store_true",
help="Write tensors.txt manifest listing all tensors (memory command only)"
)
parser.add_argument(
"--bits", "-b",
type=int,
choices=SUPPORTED_BITS,
default=8,
help="ALU bit width. 8=0-255 (default), 16=0-65535, 32=0-4294967295"
)
mem_group = parser.add_mutually_exclusive_group()
mem_group.add_argument(
"--memory-profile", "-m",
choices=list(MEMORY_PROFILES.keys()),
help="""Memory profile:
full=64KB/16-bit addr (suffix: none),
reduced=4KB/12-bit (suffix: _reduced),
small=1KB/10-bit (suffix: _small),
scratchpad=256B/8-bit (suffix: _scratchpad),
registers=16B/4-bit (suffix: _registers),
none=0B/pure ALU (uses 'alu' in filename)"""
)
mem_group.add_argument(
"--addr-bits", "-a",
type=int,
choices=range(0, 17),
metavar="N",
help="Custom address bus width 0-16. Memory size=2^N bytes. 0=pure ALU. Suffix: _addrN"
)
subparsers = parser.add_subparsers(dest="command", help="Subcommands")
subparsers.add_parser("memory", help="Generate memory circuits (decoder, read mux, write cells)")
subparsers.add_parser("alu", help="Generate N-bit ALU circuits (adder, sub, mul, div, cmp, bitwise, shift)")
subparsers.add_parser("inputs", help="Add .inputs metadata tensors for gate routing")
subparsers.add_parser("all", help="Run all: memory -> alu -> inputs")
args = parser.parse_args()
if args.model is None:
args.model = get_model_path(
bits=args.bits,
memory_profile=getattr(args, 'memory_profile', None),
addr_bits=getattr(args, 'addr_bits', None)
)
print(f"Auto-generated model path: {args.model}")
if args.command == "memory":
cmd_memory(args)
elif args.command == "alu":
cmd_alu(args)
elif args.command == "inputs":
cmd_inputs(args)
elif args.command == "all":
cmd_all(args)
else:
parser.print_help()
if __name__ == "__main__":
main()