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# License, v. 2.0. If a copy of the MPL was not distributed with this
# file, You can obtain one at https://mozilla.org/MPL/2.0/.
"""Phases 12β13: SUBLEQ IR and VM.
SUBLEQ(A, B, C): mem[B] = mem[B] - mem[A]; if mem[B] <= 0: goto C
This is the minimal target instruction representation.
All semantic operations map to SUBLEQ via the Rosetta layer.
"""
from __future__ import annotations
import struct
from dataclasses import dataclass, field
from typing import Optional
from .rosetta import RosettaEntry, RosettaMapping
from .types import FSMState, PipelineError
MAX_MEMORY = 65536
HALT_ADDRESS = -1
# ββ SUBLEQ IR βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
@dataclass(frozen=True)
class SubleqInstruction:
A: int # source address (subtracted)
B: int # destination address (modified)
C: int # branch address (-1 = halt)
label: str = ""
comment: str = ""
def __repr__(self) -> str:
c = "HALT" if self.C == HALT_ADDRESS else str(self.C)
lbl = f"{self.label}: " if self.label else ""
return f"{lbl}SUBLEQ {self.A}, {self.B}, {c} ; {self.comment}"
@dataclass
class SubleqProgram:
instructions: list[SubleqInstruction] = field(default_factory=list)
labels: dict[str, int] = field(default_factory=dict) # label β instruction index
data: dict[int, int] = field(default_factory=dict) # address β initial value
origin: str = ""
def add(self, instr: SubleqInstruction) -> int:
idx = len(self.instructions)
if instr.label:
self.labels[instr.label] = idx
self.instructions.append(instr)
return idx
def resolve_label(self, name: str) -> int:
if name not in self.labels:
raise PipelineError(FSMState.SUBLEQ_IR, f"Undefined label: {name}")
return self.labels[name]
def assemble(self) -> bytes:
"""Produce flat binary: 3 Γ int16 per instruction (big-endian)."""
buf = bytearray()
for instr in self.instructions:
buf += struct.pack(">hhh", instr.A, instr.B, instr.C)
return bytes(buf)
@staticmethod
def disassemble(data: bytes) -> SubleqProgram:
"""Reconstruct a SubleqProgram from flat binary."""
prog = SubleqProgram()
if len(data) % 6 != 0:
raise PipelineError(FSMState.SUBLEQ_IR, "Binary not aligned to 6-byte SUBLEQ words")
for i in range(0, len(data), 6):
a, b, c = struct.unpack_from(">hhh", data, i)
prog.add(SubleqInstruction(A=a, B=b, C=c))
return prog
def disassemble_text(self) -> str:
return "\n".join(repr(instr) for instr in self.instructions)
# ββ SUBLEQ Memory βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
@dataclass
class SubleqMemory:
cells: list[int] = field(default_factory=lambda: [0] * MAX_MEMORY)
def read(self, addr: int) -> int:
if addr < 0 or addr >= MAX_MEMORY:
raise PipelineError(FSMState.SUBLEQ_IR, f"Memory read out of bounds: {addr}")
return self.cells[addr]
def write(self, addr: int, value: int) -> None:
if addr < 0 or addr >= MAX_MEMORY:
raise PipelineError(FSMState.SUBLEQ_IR, f"Memory write out of bounds: {addr}")
self.cells[addr] = value
def load_program(self, prog: SubleqProgram, base: int = 0) -> None:
for i, instr in enumerate(prog.instructions):
addr = base + i * 3
self.write(addr, instr.A)
self.write(addr + 1, instr.B)
self.write(addr + 2, instr.C)
for addr, val in prog.data.items():
self.write(addr, val)
# ββ SUBLEQ VM βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
@dataclass
class VMTrace:
step: int
pc: int
A: int
B: int
C: int
mem_b_before: int
mem_b_after: int
branched: bool
@dataclass
class SubleqVM:
memory: SubleqMemory = field(default_factory=SubleqMemory)
pc: int = 0
steps: int = 0
max_steps: int = 100_000
trace_log: list[VMTrace] = field(default_factory=list)
halted: bool = False
def load(self, prog: SubleqProgram, base: int = 100) -> None:
self.memory.load_program(prog, base)
# Initialize data cells
for addr, val in prog.data.items():
self.memory.write(addr, val)
self.pc = base
self.steps = 0
self.halted = False
self.trace_log.clear()
def step(self) -> bool:
"""Execute one SUBLEQ instruction. Returns False when halted."""
if self.halted:
return False
A = self.memory.read(self.pc)
B = self.memory.read(self.pc + 1)
C = self.memory.read(self.pc + 2)
mem_b_before = self.memory.read(B)
mem_b_after = mem_b_before - self.memory.read(A)
self.memory.write(B, mem_b_after)
branched = mem_b_after <= 0
trace = VMTrace(
step=self.steps, pc=self.pc,
A=A, B=B, C=C,
mem_b_before=mem_b_before,
mem_b_after=mem_b_after,
branched=branched,
)
self.trace_log.append(trace)
self.steps += 1
if branched:
if C == HALT_ADDRESS or C < 0:
self.halted = True
return False
self.pc = C
else:
self.pc += 3
if self.steps >= self.max_steps:
raise PipelineError(
FSMState.SUBLEQ_IR,
f"SUBLEQ VM exceeded {self.max_steps} steps β possible infinite loop",
)
return not self.halted
def execute(self) -> list[VMTrace]:
while not self.halted:
if not self.step():
break
return self.trace_log
def verify_halts(self, prog: SubleqProgram, data_setup: dict[int, int] | None = None) -> bool:
"""Check whether the program halts within max_steps."""
mem = SubleqMemory()
vm = SubleqVM(memory=mem, max_steps=self.max_steps)
if data_setup:
for addr, val in data_setup.items():
mem.write(addr, val)
vm.load(prog, base=100)
try:
vm.execute()
return vm.halted
except PipelineError:
return False
# ββ Assembler: Rosetta mapping β SUBLEQ program βββββββββββββββββββββββββββββββ
# Address allocation β simple bump allocator
_NEXT_ADDR = 256 # reserve 0β255 for VM built-ins
def _alloc(n: int = 1) -> int:
global _NEXT_ADDR
addr = _NEXT_ADDR
_NEXT_ADDR += n
return addr
# Built-in addresses
ADDR_ZERO = 0 # always 0
ADDR_ONE = 1 # always 1
ADDR_TEMP = 2 # scratch
def build_program_from_rosetta(mapping: RosettaMapping) -> SubleqProgram:
"""
Assemble a SUBLEQ program from a Rosetta mapping.
Each Rosetta entry becomes one or more SUBLEQ instructions.
"""
prog = SubleqProgram()
# Initialize constants
prog.data[ADDR_ZERO] = 0
prog.data[ADDR_ONE] = 1
base = 100
for tok, entry in mapping.entries:
_emit_entry(prog, entry, tok.payload, base=base)
# Halt
prog.add(SubleqInstruction(A=ADDR_ZERO, B=ADDR_ZERO, C=HALT_ADDRESS, comment="HALT"))
return prog
_FALL_THROUGH = -2 # sentinel meaning "next instruction"
def _next_pc(prog: SubleqProgram, base: int = 100) -> int:
"""Absolute address of the instruction that will follow the current last one."""
return base + (len(prog.instructions) + 1) * 3
def _emit_entry(prog: SubleqProgram, entry: RosettaEntry, payload: str, base: int = 100) -> None:
op = entry.subleq_op
label = f"{entry.semantic_id}_{len(prog.instructions)}"
nxt = _next_pc(prog, base)
if op == "NOP":
prog.add(SubleqInstruction(ADDR_ZERO, ADDR_ZERO, nxt, label=label, comment=f"NOP:{payload}"))
return
if op == "TICK":
out = _alloc()
prog.data[out] = 0
prog.add(SubleqInstruction(ADDR_ZERO, out, nxt, label=label, comment="TICK"))
return
if op in ("PUSH", "POP"):
prog.add(SubleqInstruction(ADDR_ZERO, ADDR_ZERO, nxt, label=label, comment=op))
return
if op == "NOT":
a_addr = _alloc()
out_addr = _alloc()
prog.data[a_addr] = 1
nxt2 = base + (len(prog.instructions) + 2) * 3
prog.add(SubleqInstruction(a_addr, ADDR_ONE, nxt2, label=label, comment=f"NOT:{payload}"))
prog.add(SubleqInstruction(ADDR_ZERO, out_addr, _next_pc(prog, base)))
return
if op in ("AND", "OR", "XOR", "XNOR", "ADD", "SUB", "MUL", "COMPUTE",
"PARSE", "BUILD", "GEN", "VERIFY", "XFORM", "RECON", "ALLOC",
"LOAD_0", "LOAD_1"):
out_addr = _alloc()
prog.data[out_addr] = 0
prog.add(SubleqInstruction(ADDR_ZERO, out_addr, nxt, label=label, comment=f"{op}:{payload}"))
return
# Unknown op β emit NOP
prog.add(SubleqInstruction(ADDR_ZERO, ADDR_ZERO, nxt, label=label, comment=f"UNKNOWN:{op}"))
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