First working solution of new task

This commit is contained in:
Jan-Niclas Loosen
2026-03-05 18:03:55 +01:00
parent 691d6eba8c
commit de46c67129
11 changed files with 1077 additions and 9 deletions

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from .live_variables import LiveVariablesAnalysis, Var
from .reached_uses import ReachedUsesAnalysis, UseFact
__all__ = [
"Var",
"UseFact",
"LiveVariablesAnalysis",
"ReachedUsesAnalysis",
]

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import syntax
import colorsys
from cfg.CFG_Node import CFG_DIAMOND
def _expr_used_names(expr) -> set[str]:
"""Collect variable names (syntax.ID) used inside an expression subtree."""
used: set[str] = set()
def visit(node):
if node is None:
return
if isinstance(node, syntax.ID):
used.add(node.name)
return
if isinstance(node, syntax.EXPRESSION):
for _, child in node.children():
visit(child)
visit(expr)
return used
def _show_analysis_on_node(node) -> bool:
"""Return True if analysis annotations should be displayed for this node."""
ast = node.ast_node
if isinstance(node, CFG_DIAMOND):
return False
if ast is None:
return False
return isinstance(
ast,
(
syntax.ASSIGN,
syntax.CALL,
syntax.IF,
syntax.WHILE,
syntax.DECL,
syntax.LET,
syntax.SEQ,
syntax.COMP,
syntax.EQOP,
syntax.LOP,
),
)
def _lv_in_for_display(node, analysis):
"""Display-level IN set for LV."""
in_set = set(analysis.in_sets.get(node.id, set()))
ast_node = node.ast_node
if isinstance(ast_node, syntax.ASSIGN):
func = analysis._func_scope.get(node.id)
rhs_vars = {
analysis._resolve_var(func, name)
for name in _expr_used_names(ast_node.expr)
}
in_set |= rhs_vars
return in_set
def _node_color(node_id: int) -> tuple[str, str]:
"""Return (edge_color, fill_color) deterministically for a node id."""
# Golden-angle hue distribution gives stable, distinct colors.
hue = ((node_id * 0.6180339887498949) % 1.0)
edge_rgb = colorsys.hsv_to_rgb(hue, 0.70, 0.82)
fill_rgb = colorsys.hsv_to_rgb(hue, 0.28, 0.97)
def to_hex(rgb):
r, g, b = (int(round(c * 255)) for c in rgb)
return f"#{r:02x}{g:02x}{b:02x}"
return to_hex(edge_rgb), to_hex(fill_rgb)
def run_all_analyses(cfg):
"""Run Live Variables and Reached Uses on *cfg*.
Returns ``(analyses, annotations, ru_edges)`` where:
• *analyses* is a dict with keys ``"lv"`` and ``"ru"``,
• *annotations* contains only LivingVariables helper-node labels,
• *ru_edges* maps definition-node ids to reached use-node ids.
"""
node_by_id = {n.id: n for n in cfg.nodes()}
from cfa.live_variables import LiveVariablesAnalysis
from cfa.reached_uses import ReachedUsesAnalysis
lv = LiveVariablesAnalysis(cfg)
ru = ReachedUsesAnalysis(cfg)
all_ids = set(lv.in_sets.keys()) | set(lv.out_sets.keys())
annotations = {
nid: (
"LivingVariables\\n"
f"In := {sorted(_lv_in_for_display(node_by_id[nid], lv))}\\n"
f"Out := {sorted(lv.out_sets.get(nid, set()))}"
)
for nid in all_ids
if lv.in_sets.get(nid, set()) or lv.out_sets.get(nid, set())
if nid in node_by_id and _show_analysis_on_node(node_by_id[nid])
}
return {"lv": lv, "ru": ru}, annotations, ru.reached_uses_by_node()
def analysis_to_dot(
cfg,
annotations: dict[int, str],
analysis_name: str,
ru_edges: dict[int, list[int]] | None = None,
) -> str:
"""Return a DOT string for *cfg* annotated with analysis results."""
lines = [
"digraph CFG {",
f' // Analysis: {analysis_name}',
' graph [splines=ortho, overlap=false, ranksep=0.7, nodesep=0.45];',
' node [fontname="Helvetica"];',
]
color_nodes = set(annotations.keys()) | set((ru_edges or {}).keys())
node_colors = {nid: _node_color(nid) for nid in color_nodes}
def emit(node):
base_label = node.dot_label() or ""
shape = node.dot_shape
style = node.dot_style
style_str = f", {style}" if style else ""
lines.append(f' n{node.id} [label="{base_label}", shape={shape}{style_str}];')
if node.id in annotations:
ann_id = f"a{node.id}"
ann_label = annotations[node.id].replace('"', '\\"')
edge_color, fill_color = node_colors.get(node.id, ("#1f77b4", "#d9ecff"))
lines.append(
f' {ann_id} [label="{ann_label}", shape=note, '
f'style="filled", fillcolor="{fill_color}", color="{edge_color}", '
f'fontcolor="{edge_color}"];'
)
lines.append(
f' {ann_id} -> n{node.id} [style=dotted, arrowhead=none, '
f'color="{edge_color}"];'
)
for i, child in enumerate(sorted(node.children, key=lambda n: n.id)):
edge_label = ""
if isinstance(node, CFG_DIAMOND):
if i == 0:
edge_label = ' [label="T"]'
elif i == 1:
edge_label = ' [label="F"]'
lines.append(f" n{node.id} -> n{child.id}{edge_label};")
cfg.traverse(emit, start=cfg.START)
if ru_edges:
for idx, def_id in enumerate(sorted(ru_edges)):
use_ids = sorted(set(ru_edges[def_id]))
if not use_ids:
continue
# One routing hub per definition node to mimic UML-like
# "out to the side, then down/across to targets" connectors.
side = "e" if idx % 2 == 0 else "w"
source_port = "se" if side == "e" else "sw"
hub_id = f"rh{def_id}"
edge_color, fill_color = node_colors.get(def_id, ("#1f77b4", "#d9ecff"))
lines.append(
f' {hub_id} [shape=point, width=0.05, height=0.05, '
f'color="{edge_color}", fillcolor="{edge_color}", style=filled];'
)
lines.append(f" {{ rank=same; n{def_id}; {hub_id}; }}")
lines.append(
f' n{def_id}:{source_port} -> {hub_id} [color="{edge_color}", '
f'style=dashed, penwidth=1.2, arrowhead=none, constraint=false, '
f'tailclip=true, headclip=true];'
)
for use_id in use_ids:
if side == "e":
target_port = "ne" if (use_id % 2 == 0) else "se"
else:
target_port = "nw" if (use_id % 2 == 0) else "sw"
lines.append(
f' {hub_id} -> n{use_id}:{target_port} [color="{edge_color}", '
f'fontcolor="{edge_color}", fontsize=8, style=dashed, '
f'penwidth=1.0, arrowsize=0.6, constraint=false, '
f'tailclip=true, headclip=true];'
)
lines.append("}")
return "\n".join(lines)

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"""
live_variables.py — Live Variables backward dataflow analysis for TRIPLA CFGs.
A variable v is *live* at the entry of node n if there exists a path
n → … → use(v) where v is not redefined along the way.
Data structures
---------------
gen dict[int, set[Var]] — GEN(n) = variables *used* at n
kill dict[int, set[Var]] — KILL(n) = variables *defined* at n
in_sets dict[int, set[Var]] — live variables at node *entry*
out_sets dict[int, set[Var]] — live variables at node *exit*
Transfer equations (backward):
OUT(n) = IN(s) for all successors s
IN(n) = (OUT(n) KILL(n)) GEN(n)
Variables are represented in scoped form ``(scope, name)``, e.g. ``("f","x")``.
This avoids collisions between equal variable names in different functions.
This module also exports ``_BackwardAnalysisBase``, the shared base class
that ``ReachedUsesAnalysis`` in reached_uses.py inherits from. The base
provides:
• AST traversal to collect function-nesting and parameter metadata
• Lexical variable resolution (parameter shadowing handled correctly)
• BFS-based CFG-node → owning-function assignment
• Unified uses / defs extraction for all node types
Var = tuple[str, str]
"""
from __future__ import annotations
from collections import deque
from typing import TYPE_CHECKING
import cfg_build
import syntax
from cfg.CFG_Node import CFG_START
if TYPE_CHECKING:
from cfg.CFG import CFG
# ---------------------------------------------------------------------------
# Public type alias (imported by reached_uses.py)
# ---------------------------------------------------------------------------
GLOBAL_SCOPE = ""
Var = tuple[str, str] # (function_name|GLOBAL_SCOPE, variable_name)
# ============================================================================
# Shared base: function metadata, scope assignment, uses/defs extraction
# ============================================================================
class _BackwardAnalysisBase:
"""Infrastructure shared by LiveVariablesAnalysis and ReachedUsesAnalysis.
Calling ``super().__init__(cfg)`` from a subclass:
1. Snapshots cfg_build.FUNCTIONS.
2. Collects AST-level function-nesting and parameter metadata.
3. BFS-assigns every CFG node to its owning function.
4. Extracts uses and defs for every CFG node.
After __init__ the following attributes are available to subclasses:
self.cfg — the CFG object
self._functions — dict[str, tuple]: snapshot of cfg_build.FUNCTIONS
self._func_parent — dict[str, str|None]: lexical parent per function
self._func_params — dict[str, tuple[str,...]]: params per function
self._func_scope — dict[int, str]: node-id → owning function name
self.uses — dict[int, set[Var]]: variables used at each node
self.defs — dict[int, set[Var]]: variables defined at each node
"""
def __init__(self, cfg: "CFG") -> None:
self.cfg = cfg
# Snapshot FUNCTIONS so later global-state resets do not affect us.
self._functions: dict[str, tuple] = dict(cfg_build.FUNCTIONS)
self.uses: dict[int, set[Var]] = {}
self.defs: dict[int, set[Var]] = {}
self._func_parent, self._func_params = self._collect_function_metadata()
self._func_scope: dict[int, str] = self._compute_function_scope()
self._extract_uses_defs()
# ------------------------------------------------------------------
# Step 1a — Walk AST to collect lexical nesting + parameter lists
# ------------------------------------------------------------------
def _collect_function_metadata(
self,
) -> tuple[dict[str, str | None], dict[str, tuple[str, ...]]]:
"""Walk the AST and collect function-parent and parameter information.
Returns
-------
func_parent : dict[str, str | None]
func_parent[f] is the name of the immediately enclosing function
(or None for top-level functions).
func_params : dict[str, tuple[str, ...]]
func_params[f] is the ordered tuple of formal parameter names of f.
"""
func_parent: dict[str, str | None] = {}
func_params: dict[str, tuple[str, ...]] = {}
def visit(expr: syntax.EXPRESSION | None, current_func: str | None) -> None:
if expr is None:
return
if isinstance(expr, syntax.LET):
decls = expr.decl if isinstance(expr.decl, list) else [expr.decl]
# Register metadata for each declared function.
for d in decls:
if isinstance(d, syntax.DECL):
# Use assignment (last-seen wins) to stay consistent
# with cfg_build.FUNCTIONS, which also overwrites on
# duplicate names. setdefault (first-seen wins) would
# disagree when a nested function shadows a top-level
# one with the same name, causing wrong scope resolution.
func_parent[d.f_name] = current_func
func_params[d.f_name] = tuple(d.params)
# Recurse into function bodies and the in-expression.
for d in decls:
if isinstance(d, syntax.DECL):
visit(d.body, d.f_name)
else:
visit(d, current_func)
visit(expr.body, current_func)
return
for _, child in expr.children():
visit(child, current_func)
visit(self.cfg.ast, None)
return func_parent, func_params
# ------------------------------------------------------------------
# Step 1b — Resolve a variable name through the lexical scope chain
# ------------------------------------------------------------------
def _resolve_var(self, func: str | None, name: str) -> Var:
"""Resolve a variable name via lexical scope chain."""
if func is None:
return (GLOBAL_SCOPE, name)
cur: str | None = func
seen: set[str] = set()
while cur is not None and cur not in seen:
seen.add(cur)
if name in self._func_params.get(cur, ()):
return (cur, name)
cur = self._func_parent.get(cur)
# Fallback: local variable in current function scope.
return (func, name)
# ------------------------------------------------------------------
# Step 2 — BFS-assign every CFG node to its owning function
# ------------------------------------------------------------------
def _compute_function_scope(self) -> dict[int, str]:
"""BFS from each function's START node; return node-id → function-name.
Two stopping conditions keep attribution strictly inside each function:
1. Do not follow into a *different* function's CFG_START (prevents
attributing callee body nodes to the caller, and vice-versa).
2. Do not follow *past* the function's own CFG_END (prevents
following CFG_END → CFG_RETURN → continuation nodes that belong
to the *caller* context, which caused variables used there to be
resolved in the wrong scope).
The first function whose BFS claims a node wins.
"""
functions = self._functions
func_scope: dict[int, str] = {}
all_f_start_ids: set[int] = {fs.id for _, (fs, _) in functions.items()}
for f_name, (f_start, f_end) in functions.items():
queue: deque = deque([f_start])
while queue:
node = queue.popleft()
if node.id in func_scope:
continue # already claimed by an earlier function
func_scope[node.id] = f_name
# Stop here — do not follow CFG_END into caller context.
if node.id == f_end.id:
continue
for child in node.children:
# Do not follow into a different function's START.
if (
isinstance(child, CFG_START)
and child.id in all_f_start_ids
and child.id != f_start.id
):
continue
queue.append(child)
return func_scope
# ------------------------------------------------------------------
# Step 3 — Extract uses / defs for every CFG node
# ------------------------------------------------------------------
def _extract_uses_defs(self) -> None:
"""Populate ``self.uses`` and ``self.defs`` for every node in the CFG.
Extraction rules:
• CFG_START(DECL f(p1,…,pk)) → defs = {(f,p1), …, (f,pk)}
• Node wrapping ID(x) → uses = {lexical_resolve(func, x)}
• Node wrapping ASSIGN(x = e) → defs = {lexical_resolve(func, x)}
• Everything else → uses = {}, defs = {}
Sub-expressions already have their own CFG nodes and are not
re-inspected here; each node is responsible only for its own ast_node.
"""
for node in self.cfg.nodes():
nid = node.id
func = self._func_scope.get(nid) # None → outer / global scope
ast = node.ast_node
uses: set[Var] = set()
defs: set[Var] = set()
if isinstance(node, CFG_START) and isinstance(ast, syntax.DECL):
# Function entry defines each formal parameter.
for param in ast.params:
defs.add((ast.f_name, param))
elif ast is not None:
if isinstance(ast, syntax.ID):
resolved = self._resolve_var(func, ast.name)
uses.add(resolved)
elif isinstance(ast, syntax.ASSIGN):
resolved = self._resolve_var(func, ast.var.name)
defs.add(resolved)
self.uses[nid] = uses
self.defs[nid] = defs
# ============================================================================
# Live Variables Analysis
# ============================================================================
class LiveVariablesAnalysis(_BackwardAnalysisBase):
"""Backward dataflow analysis: Live Variables.
A variable (f, x) is *live* at the entry of node n if there is a path
from n to some use of (f, x) along which (f, x) is not redefined.
This is the simpler predecessor to ReachedUsesAnalysis (reached_uses.py):
it tracks which variables are live, not *where* they are used.
Attributes
----------
gen dict[int, set[Var]] GEN(n) = uses(n) — vars used at n
kill dict[int, set[Var]] KILL(n) = defs(n) — vars defined at n
in_sets dict[int, set[Var]] live variables at n's *entry*
out_sets dict[int, set[Var]] live variables at n's *exit*
(uses and defs are identical to gen / kill and are inherited from the
base class.)
Transfer equations (backward):
OUT(n) = IN(s) for all successors s
IN(n) = (OUT(n) KILL(n)) GEN(n)
"""
def __init__(self, cfg: "CFG") -> None:
# Base populates uses, defs, _func_scope, etc.
super().__init__(cfg)
self.gen: dict[int, set[Var]] = {}
self.kill: dict[int, set[Var]] = {}
self.in_sets: dict[int, set[Var]] = {}
self.out_sets: dict[int, set[Var]] = {}
self._build_gen_kill()
self.solve()
# ------------------------------------------------------------------
# Build gen / kill; initialise in / out to ∅
# ------------------------------------------------------------------
def _build_gen_kill(self) -> None:
"""GEN(n) = uses(n), KILL(n) = defs(n); initialise in/out sets."""
for node in self.cfg.nodes():
nid = node.id
self.gen[nid] = set(self.uses[nid])
self.kill[nid] = set(self.defs[nid])
self.in_sets[nid] = set()
self.out_sets[nid] = set()
# ------------------------------------------------------------------
# Backward worklist fixpoint
# ------------------------------------------------------------------
def solve(self) -> None:
"""Backward worklist until fixpoint.
Transfer:
OUT(n) = IN(s) for all successors s
IN(n) = (OUT(n) KILL(n)) GEN(n)
Only nodes reachable from cfg.START are processed (guard against
propagate=False parent references from CFG.__remove_and_rewire).
"""
nodes = list(self.cfg.nodes())
known: set[int] = set(self.gen.keys())
id_to_node = {n.id: n for n in nodes}
worklist: deque = deque(nodes)
# Build predecessor relation from children edges. This is more reliable
# than node.parents because CFG rewiring may add edges with
# propagate=False, leaving parent links stale.
preds: dict[int, set[int]] = {nid: set() for nid in known}
for node in nodes:
for child in node.children:
if child.id in known:
preds[child.id].add(node.id)
while worklist:
node = worklist.popleft()
nid = node.id
new_out: set[Var] = set()
for child in node.children:
if child.id in known:
new_out |= self.in_sets[child.id]
new_in: set[Var] = (new_out - self.kill[nid]) | self.gen[nid]
if new_out != self.out_sets[nid] or new_in != self.in_sets[nid]:
self.out_sets[nid] = new_out
self.in_sets[nid] = new_in
for pred_id in preds[nid]:
worklist.append(id_to_node[pred_id])
# ------------------------------------------------------------------
# Result
# ------------------------------------------------------------------
def live_vars_by_node(self) -> dict[int, set[Var]]:
"""Return the live-variable set at the *entry* of each node.
Returns
-------
dict[int, set[Var]]
Keys: CFG node ids whose in_set is non-empty.
Values: copy of the live-variable set at that node's entry.
"""
return {nid: set(vs) for nid, vs in self.in_sets.items() if vs}

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"""
reached_uses.py — Reached-Uses backward dataflow analysis for TRIPLA CFGs.
Extends ``_BackwardAnalysisBase`` from live_variables.py, which provides the
shared function-scope resolution and uses/defs extraction machinery. The Live
Variables analysis (LiveVariablesAnalysis) in that module is the simpler
predecessor of this analysis (tip from the course notes: implement LV first,
then extend to RU).
How ReachedUsesAnalysis extends LiveVariablesAnalysis
------------------------------------------------------
Live Variables tracks *which* variables are live at each node (set[Var]).
Reached Uses additionally tracks *where* each variable is used by attaching
the use-node id to every fact, giving set[UseFact] = set[tuple[int, Var]].
The transfer function changes accordingly:
LV: IN(n) = (OUT(n) KILL_LV(n)) GEN_LV(n) [sets of Var]
RU: IN(n) = (OUT(n) KILL_RU(n)) GEN_RU(n) [sets of UseFact]
GEN_LV(n) = uses(n) — set[Var]
GEN_RU(n) = { (n.id, var) | var ∈ uses(n) } — set[UseFact]
KILL_LV(n) = defs(n) — set[Var]
KILL_RU(n) = { (uid, var) | var ∈ defs(n), — set[UseFact]
(uid, var) ∈ all_uses_by_var[var] }
The set-difference in both cases removes exactly the facts for variables
that are defined at n — equivalent to the ⊖ operator from the lecture
slides (M ⊖ K = {(p,id) ∈ M | id ∉ K}).
Type aliases
------------
Var = tuple[str, str] # (scope, variable_name)
UseFact = tuple[int, Var] # (use_node_id, scoped_var)
Analysis attributes (all populated after construction)
------------------------------------------------------
uses dict[int, set[Var]]
defs dict[int, set[Var]]
gen dict[int, set[UseFact]]
kill dict[int, set[UseFact]]
in_sets dict[int, set[UseFact]]
out_sets dict[int, set[UseFact]]
all_uses_by_var dict[Var, set[UseFact]]
Final result
------------
reached_uses_by_node() → dict[int, list[int]]
Keys: defining-node ids
Values: sorted, deduplicated list of use-node ids reached by the def
"""
from __future__ import annotations
from collections import deque
from typing import TYPE_CHECKING
# Import the shared base class (and Var) from the Live Variables module.
from cfa.live_variables import _BackwardAnalysisBase, Var
if TYPE_CHECKING:
from cfg.CFG import CFG
# ---------------------------------------------------------------------------
# Public type aliases (re-exported so tests/reached_uses_stub.py can pick up
# ReachedUsesAnalysis without needing to know about live_variables.py)
# ---------------------------------------------------------------------------
UseFact = tuple[int, Var] # (use_node_id, scoped_var)
# ============================================================================
# Reached-Uses Analysis
# ============================================================================
class ReachedUsesAnalysis(_BackwardAnalysisBase):
"""Backward dataflow analysis: Reached Uses.
Inherits uses/defs extraction and function-scope resolution from
_BackwardAnalysisBase (live_variables.py). Extends it with use-fact
tracking: each fact carries the id of the node where the variable is used,
enabling def-use pairs to be recovered from the fixpoint solution.
Transfer equations (backward):
OUT(n) = IN(s) for all successors s
IN(n) = GEN(n) (OUT(n) KILL(n))
GEN(n) = { (n.id, var) | var ∈ uses(n) }
KILL(n) = { (uid, var) | var ∈ defs(n),
(uid, var) ∈ all_uses_by_var[var] }
"""
def __init__(self, cfg: "CFG") -> None:
# Base populates: uses, defs, _func_scope, _func_parent, _func_params.
super().__init__(cfg)
self.gen: dict[int, set[UseFact]] = {}
self.kill: dict[int, set[UseFact]] = {}
self.in_sets: dict[int, set[UseFact]] = {}
self.out_sets: dict[int, set[UseFact]] = {}
self.all_uses_by_var: dict[Var, set[UseFact]] = {}
self._build_gen_kill()
self.solve()
# ------------------------------------------------------------------
# Step 1 — Build gen, kill, all_uses_by_var; initialise in/out
# ------------------------------------------------------------------
def _build_gen_kill(self) -> None:
"""Compute gen and kill sets; populate all_uses_by_var."""
# GEN[n] = { (n.id, var) | var ∈ uses[n] }
for node in self.cfg.nodes():
nid = node.id
self.gen[nid] = {(nid, var) for var in self.uses[nid]}
self.in_sets[nid] = set()
self.out_sets[nid] = set()
# all_uses_by_var: index all use-facts by their variable.
for nid, facts in self.gen.items():
for (uid, var) in facts:
self.all_uses_by_var.setdefault(var, set()).add((uid, var))
# KILL[n] = all use-facts for variables defined at n.
for node in self.cfg.nodes():
nid = node.id
kill_n: set[UseFact] = set()
for var in self.defs[nid]:
if var in self.all_uses_by_var:
kill_n |= self.all_uses_by_var[var]
self.kill[nid] = kill_n
# ------------------------------------------------------------------
# Step 2 — Backward worklist fixpoint
# ------------------------------------------------------------------
def solve(self) -> None:
"""Backward worklist until fixpoint.
Transfer:
OUT(n) = IN(s) for all successors s
IN(n) = GEN(n) (OUT(n) KILL(n))
Only nodes reachable from cfg.START are processed (guard against
propagate=False parent references from CFG.__remove_and_rewire).
"""
nodes = list(self.cfg.nodes())
known: set[int] = set(self.gen.keys()) # ids of cfg.nodes()
id_to_node = {n.id: n for n in nodes}
worklist: deque = deque(nodes)
# Build predecessor relation from children edges. CFG rewiring may
# create edges with propagate=False, so node.parents can be stale.
preds: dict[int, set[int]] = {nid: set() for nid in known}
for node in nodes:
for child in node.children:
if child.id in known:
preds[child.id].add(node.id)
while worklist:
node = worklist.popleft()
nid = node.id
new_out: set[UseFact] = set()
for child in node.children:
if child.id in known:
new_out |= self.in_sets[child.id]
new_in: set[UseFact] = self.gen[nid] | (new_out - self.kill[nid])
if new_out != self.out_sets[nid] or new_in != self.in_sets[nid]:
self.out_sets[nid] = new_out
self.in_sets[nid] = new_in
for pred_id in preds[nid]:
worklist.append(id_to_node[pred_id])
# ------------------------------------------------------------------
# Public result
# ------------------------------------------------------------------
def reached_uses_by_node(self) -> dict[int, list[int]]:
"""Return the final reached-uses result.
For each defining node d:
result[d.id] = sorted list of use-node ids u such that
(u, var) ∈ OUT[d] for some var ∈ defs[d].
Semantics: the definition at d of variable var reaches the use at u
if there is a CFG path d → … → u along which var is not redefined.
Only nodes with at least one definition appear as keys.
"""
result: dict[int, list[int]] = {}
for node in self.cfg.nodes():
nid = node.id
defs_n = self.defs[nid]
if not defs_n:
continue
reached: set[int] = set()
for (uid, var) in self.out_sets[nid]:
if var in defs_n:
reached.add(uid)
result[nid] = sorted(reached)
return result

View File

@@ -0,0 +1,183 @@
digraph CFG {
// Analysis: Live Variables + Reached Uses
graph [splines=ortho, overlap=false, ranksep=0.7, nodesep=0.45];
node [fontname="Helvetica"];
n1 [label="START", shape=ellipse, style=filled, color=gray];
n1 -> n3;
n3 [label="33", shape=box];
n3 -> n4;
n4 [label="s = 33", shape=box];
a4 [label="LivingVariables\nIn := []\nOut := [('', 's')]", shape=note, style="filled", fillcolor="#b2f7ec", color="#3fd1b9", fontcolor="#3fd1b9"];
a4 -> n4 [style=dotted, arrowhead=none, color="#3fd1b9"];
n4 -> n5;
n5 [label="0", shape=box];
n5 -> n6;
n6 [label="i = 0", shape=box];
a6 [label="LivingVariables\nIn := [('', 's')]\nOut := [('', 'i'), ('', 's')]", shape=note, style="filled", fillcolor="#c3b2f7", color="#633fd1", fontcolor="#633fd1"];
a6 -> n6 [style=dotted, arrowhead=none, color="#633fd1"];
n6 -> n7;
n7 [label="0", shape=box];
n7 -> n8;
n8 [label="j = 0", shape=box];
a8 [label="LivingVariables\nIn := [('', 'i'), ('', 's')]\nOut := [('', 'i'), ('', 'j'), ('', 's')]", shape=note, style="filled", fillcolor="#f7b2c9", color="#d13f70", fontcolor="#d13f70"];
a8 -> n8 [style=dotted, arrowhead=none, color="#d13f70"];
n8 -> n9;
n9 [label="i", shape=box];
n9 -> n10;
n10 [label="j", shape=box];
n10 -> n11;
n11 [label="i + j", shape=box];
n11 -> n12;
n12 [label="t = (i + j)", shape=box];
a12 [label="LivingVariables\nIn := [('', 'i'), ('', 'j'), ('', 's')]\nOut := [('', 'i'), ('', 'j'), ('', 's')]", shape=note, style="filled", fillcolor="#b2f7d5", color="#3fd188", fontcolor="#3fd188"];
a12 -> n12 [style=dotted, arrowhead=none, color="#3fd188"];
n12 -> n13;
n13 [label="6", shape=box];
n13 -> n14;
n14 [label="f = 6", shape=box];
a14 [label="LivingVariables\nIn := [('', 'i'), ('', 'j'), ('', 's')]\nOut := [('', 'f'), ('', 'i'), ('', 'j'), ('', 's')]", shape=note, style="filled", fillcolor="#b2b8f7", color="#3f4bd1", fontcolor="#3f4bd1"];
a14 -> n14 [style=dotted, arrowhead=none, color="#3f4bd1"];
n14 -> n16;
n16 [label="s", shape=box];
n16 -> n17;
n17 [label="42", shape=box];
n17 -> n18;
n18 [label="s < 42", shape=box];
a18 [label="LivingVariables\nIn := [('', 'f'), ('', 'i'), ('', 'j'), ('', 's')]\nOut := [('', 'f'), ('', 'i'), ('', 'j'), ('', 's')]", shape=note, style="filled", fillcolor="#f7e6b2", color="#d1ac3f", fontcolor="#d1ac3f"];
a18 -> n18 [style=dotted, arrowhead=none, color="#d1ac3f"];
n18 -> n19;
n19 [label="<?>", shape=diamond];
n19 -> n2 [label="T"];
n19 -> n21 [label="F"];
n2 [label="END", shape=ellipse, style=filled, color=gray];
n21 [label="s", shape=box];
n21 -> n22;
n22 [label="1", shape=box];
n22 -> n23;
n23 [label="s - 1", shape=box];
n23 -> n24;
n24 [label="a = (s - 1)", shape=box];
a24 [label="LivingVariables\nIn := [('', 'f'), ('', 'i'), ('', 'j'), ('', 's')]\nOut := [('', 'f'), ('', 'i'), ('', 'j'), ('', 's')]", shape=note, style="filled", fillcolor="#f7b2f7", color="#d13fd1", fontcolor="#d13fd1"];
a24 -> n24 [style=dotted, arrowhead=none, color="#d13fd1"];
n24 -> n25;
n25 [label="i", shape=box];
n25 -> n26;
n26 [label="j", shape=box];
n26 -> n27;
n27 [label="i + j", shape=box];
n27 -> n28;
n28 [label="f", shape=box];
n28 -> n29;
n29 [label="1", shape=box];
n29 -> n30;
n30 [label="f + 1", shape=box];
n30 -> n31;
n31 [label="(i + j) * (f + 1)", shape=box];
n31 -> n32;
n32 [label="c = ((i + j) * (f + 1))", shape=box];
a32 [label="LivingVariables\nIn := [('', 'f'), ('', 'i'), ('', 'j'), ('', 's')]\nOut := [('', 'c'), ('', 'f'), ('', 'j'), ('', 's')]", shape=note, style="filled", fillcolor="#e0b2f7", color="#a03fd1", fontcolor="#a03fd1"];
a32 -> n32 [style=dotted, arrowhead=none, color="#a03fd1"];
n32 -> n33;
n33 [label="c", shape=box];
n33 -> n34;
n34 [label="0", shape=box];
n34 -> n35;
n35 [label="c > 0", shape=box];
a35 [label="LivingVariables\nIn := [('', 'c'), ('', 'f'), ('', 'j'), ('', 's')]\nOut := [('', 'c'), ('', 'f'), ('', 'j'), ('', 's')]", shape=note, style="filled", fillcolor="#b2c1f7", color="#3f5ed1", fontcolor="#3f5ed1"];
a35 -> n35 [style=dotted, arrowhead=none, color="#3f5ed1"];
n35 -> n36;
n36 [label="<?>", shape=diamond];
n36 -> n40 [label="T"];
n36 -> n44 [label="F"];
n40 [label="j", shape=box];
n40 -> n41;
n41 [label="c", shape=box];
n41 -> n42;
n42 [label="j / c", shape=box];
n42 -> n43;
n43 [label="j = (j / c)", shape=box];
a43 [label="LivingVariables\nIn := [('', 'c'), ('', 'f'), ('', 'j'), ('', 's')]\nOut := [('', 'f'), ('', 'j'), ('', 's')]", shape=note, style="filled", fillcolor="#b2d8f7", color="#3f8fd1", fontcolor="#3f8fd1"];
a43 -> n43 [style=dotted, arrowhead=none, color="#3f8fd1"];
n43 -> n48;
n48 [label="j", shape=box];
n48 -> n49;
n49 [label="2", shape=box];
n49 -> n50;
n50 [label="j * 2", shape=box];
n50 -> n51;
n51 [label="f", shape=box];
n51 -> n52;
n52 [label="(j * 2) / f", shape=box];
n52 -> n53;
n53 [label="i = ((j * 2) / f)", shape=box];
a53 [label="LivingVariables\nIn := [('', 'f'), ('', 'j'), ('', 's')]\nOut := [('', 'f'), ('', 'i'), ('', 'j'), ('', 's')]", shape=note, style="filled", fillcolor="#d7b2f7", color="#8d3fd1", fontcolor="#8d3fd1"];
a53 -> n53 [style=dotted, arrowhead=none, color="#8d3fd1"];
n53 -> n54;
n54 [label="s", shape=box];
n54 -> n55;
n55 [label="1", shape=box];
n55 -> n56;
n56 [label="s + 1", shape=box];
n56 -> n57;
n57 [label="s = (s + 1)", shape=box];
a57 [label="LivingVariables\nIn := [('', 'f'), ('', 'i'), ('', 'j'), ('', 's')]\nOut := [('', 'f'), ('', 'i'), ('', 'j'), ('', 's')]", shape=note, style="filled", fillcolor="#def7b2", color="#9bd13f", fontcolor="#9bd13f"];
a57 -> n57 [style=dotted, arrowhead=none, color="#9bd13f"];
n57 -> n16;
n44 [label="j", shape=box];
n44 -> n45;
n45 [label="c", shape=box];
n45 -> n46;
n46 [label="j * c", shape=box];
n46 -> n47;
n47 [label="i = (j * c)", shape=box];
a47 [label="LivingVariables\nIn := [('', 'c'), ('', 'f'), ('', 'j'), ('', 's')]\nOut := [('', 'f'), ('', 'j'), ('', 's')]", shape=note, style="filled", fillcolor="#f7c6b2", color="#d1693f", fontcolor="#d1693f"];
a47 -> n47 [style=dotted, arrowhead=none, color="#d1693f"];
n47 -> n48;
rh4 [shape=point, width=0.05, height=0.05, color="#3fd1b9", fillcolor="#3fd1b9", style=filled];
{ rank=same; n4; rh4; }
n4:se -> rh4 [color="#3fd1b9", style=dashed, penwidth=1.2, arrowhead=none, constraint=false, tailclip=true, headclip=true];
rh4 -> n16:ne [color="#3fd1b9", fontcolor="#3fd1b9", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh4 -> n21:se [color="#3fd1b9", fontcolor="#3fd1b9", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh4 -> n54:ne [color="#3fd1b9", fontcolor="#3fd1b9", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh6 [shape=point, width=0.05, height=0.05, color="#633fd1", fillcolor="#633fd1", style=filled];
{ rank=same; n6; rh6; }
n6:sw -> rh6 [color="#633fd1", style=dashed, penwidth=1.2, arrowhead=none, constraint=false, tailclip=true, headclip=true];
rh6 -> n9:sw [color="#633fd1", fontcolor="#633fd1", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh6 -> n25:sw [color="#633fd1", fontcolor="#633fd1", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh8 [shape=point, width=0.05, height=0.05, color="#d13f70", fillcolor="#d13f70", style=filled];
{ rank=same; n8; rh8; }
n8:se -> rh8 [color="#d13f70", style=dashed, penwidth=1.2, arrowhead=none, constraint=false, tailclip=true, headclip=true];
rh8 -> n10:ne [color="#d13f70", fontcolor="#d13f70", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh8 -> n26:ne [color="#d13f70", fontcolor="#d13f70", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh8 -> n40:ne [color="#d13f70", fontcolor="#d13f70", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh8 -> n44:ne [color="#d13f70", fontcolor="#d13f70", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh8 -> n48:ne [color="#d13f70", fontcolor="#d13f70", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh14 [shape=point, width=0.05, height=0.05, color="#3f4bd1", fillcolor="#3f4bd1", style=filled];
{ rank=same; n14; rh14; }
n14:se -> rh14 [color="#3f4bd1", style=dashed, penwidth=1.2, arrowhead=none, constraint=false, tailclip=true, headclip=true];
rh14 -> n28:ne [color="#3f4bd1", fontcolor="#3f4bd1", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh14 -> n51:se [color="#3f4bd1", fontcolor="#3f4bd1", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh32 [shape=point, width=0.05, height=0.05, color="#a03fd1", fillcolor="#a03fd1", style=filled];
{ rank=same; n32; rh32; }
n32:se -> rh32 [color="#a03fd1", style=dashed, penwidth=1.2, arrowhead=none, constraint=false, tailclip=true, headclip=true];
rh32 -> n33:se [color="#a03fd1", fontcolor="#a03fd1", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh32 -> n41:se [color="#a03fd1", fontcolor="#a03fd1", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh32 -> n45:se [color="#a03fd1", fontcolor="#a03fd1", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh43 [shape=point, width=0.05, height=0.05, color="#3f8fd1", fillcolor="#3f8fd1", style=filled];
{ rank=same; n43; rh43; }
n43:sw -> rh43 [color="#3f8fd1", style=dashed, penwidth=1.2, arrowhead=none, constraint=false, tailclip=true, headclip=true];
rh43 -> n26:nw [color="#3f8fd1", fontcolor="#3f8fd1", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh43 -> n40:nw [color="#3f8fd1", fontcolor="#3f8fd1", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh43 -> n44:nw [color="#3f8fd1", fontcolor="#3f8fd1", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh43 -> n48:nw [color="#3f8fd1", fontcolor="#3f8fd1", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh53 [shape=point, width=0.05, height=0.05, color="#8d3fd1", fillcolor="#8d3fd1", style=filled];
{ rank=same; n53; rh53; }
n53:sw -> rh53 [color="#8d3fd1", style=dashed, penwidth=1.2, arrowhead=none, constraint=false, tailclip=true, headclip=true];
rh53 -> n25:sw [color="#8d3fd1", fontcolor="#8d3fd1", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh57 [shape=point, width=0.05, height=0.05, color="#9bd13f", fillcolor="#9bd13f", style=filled];
{ rank=same; n57; rh57; }
n57:se -> rh57 [color="#9bd13f", style=dashed, penwidth=1.2, arrowhead=none, constraint=false, tailclip=true, headclip=true];
rh57 -> n16:ne [color="#9bd13f", fontcolor="#9bd13f", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh57 -> n21:se [color="#9bd13f", fontcolor="#9bd13f", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
rh57 -> n54:ne [color="#9bd13f", fontcolor="#9bd13f", fontsize=8, style=dashed, penwidth=1.0, arrowsize=0.6, constraint=false, tailclip=true, headclip=true];
}

View File

@@ -148,11 +148,15 @@ class IF(compiler.IF):
class WHILE(compiler.WHILE):
def cfa(self, pred, end = None):
# Dedicated loop-head so every iteration re-evaluates the full condition.
cond_entry = CFG_Node()
pred.add_child(cond_entry)
if hasattr(self.cond, 'arg1') and hasattr(self.cond, 'arg2'):
# This is a comparison operation (e.g., a > b)
# Create the condition evaluation nodes
left_node = self.cond.arg1.cfa(pred)
left_node = self.cond.arg1.cfa(cond_entry)
right_node = self.cond.arg2.cfa(left_node)
# Create the comparison node and attach
@@ -161,7 +165,7 @@ class WHILE(compiler.WHILE):
right_node.add_child(comp_node)
else:
# This is a simple condition (e.g., constant true/false)
cond_node = self.cond.cfa(pred)
cond_node = self.cond.cfa(cond_entry)
comp_node = cond_node
# Attach junction node
@@ -175,11 +179,8 @@ class WHILE(compiler.WHILE):
# The body should connect back to the start of condition evaluation
body_end = self.body.cfa(body_entry)
if body_end is not None:
# Connect the body end back to the condition evaluation
if hasattr(self.cond, 'arg1') and hasattr(self.cond, 'arg2'):
body_end.add_child(left_node)
else:
body_end.add_child(pred)
# Connect loop body back to full condition evaluation.
body_end.add_child(cond_entry)
# Attach joining node
after = CFG_Node()

View File

@@ -0,0 +1,24 @@
digraph CFG {
// Analysis: Reached Uses
node [fontname="Helvetica"];
n1 [label="START", shape=ellipse, style=filled, color=gray];
n1 -> n9;
n9 [label="2", shape=box];
n9 -> n10;
n10 [label="CALL g", shape=box, style=filled, color=orange];
n10 -> n3;
n10 -> n12;
n3 [label="START g(x, y)\nRU: [8]", shape=ellipse, style=filled, color=green];
n3 -> n6;
n6 [label="3", shape=box];
n6 -> n7;
n7 [label="y = 3\nRU: []", shape=box];
n7 -> n8;
n8 [label="x", shape=box];
n8 -> n4;
n4 [label="END g(x, y)", shape=ellipse, style=filled, color=green];
n4 -> n12;
n12 [label="RET g", shape=box, style=filled, color=orange];
n12 -> n2;
n2 [label="END", shape=ellipse, style=filled, color=gray];
}

View File

@@ -7,9 +7,11 @@ import matplotlib.image as mpimg
import matplotlib.pyplot as plt
from graphviz import Source
import cfg_build
import lib.console as cnsl
import syntax
import triplayacc as yacc
from cfa.analysis_dot import analysis_to_dot, run_all_analyses
from cfg.CFG import CFG
from vistram.tram import *
from vistram.vistram import MachineUI
@@ -63,13 +65,54 @@ def pretty_print(node, indent=0):
print(f"{prefix} {key}: {value}")
def print_analysis_reports(cfg, analyses: dict, ru_edges: dict[int, list[int]]):
"""Print compact Live Variables and Reached Uses reports to console."""
lv = analyses["lv"]
ru = analyses["ru"]
_ = ru
node_by_id = {n.id: n for n in cfg.nodes()}
def node_text(nid: int) -> str:
node = node_by_id.get(nid)
if node is None:
return "<unknown>"
lbl = node.dot_label()
return str(lbl) if lbl is not None else "<no-label>"
print("\nLive Variables Report")
print("---------------------")
node_ids = sorted(set(lv.in_sets.keys()) | set(lv.out_sets.keys()))
for nid in node_ids:
in_set = sorted(lv.in_sets.get(nid, set()))
out_set = sorted(lv.out_sets.get(nid, set()))
if not in_set and not out_set:
continue
print(f"n{nid} [{node_text(nid)}]: In={in_set} Out={out_set}")
print("\nReached Uses Report")
print("-------------------")
has_ru = False
for def_id in sorted(ru_edges):
uses = sorted(set(ru_edges[def_id]))
if not uses:
continue
has_ru = True
use_desc = [f"n{uid} [{node_text(uid)}]" for uid in uses]
print(f"n{def_id} [{node_text(def_id)}] -> {use_desc}")
if not has_ru:
print("(no reached uses)")
if __name__ == "__main__":
print("\nTRIPLA Parser and TRIPLA to TRAM Compiler")
while True:
mode = cnsl.prompt_choice("\nSelect action:", ["Parse .tripla", "Compile .tripla", "CFG for .tripla", "Exit"])
mode = cnsl.prompt_choice(
"\nSelect action:",
["Parse .tripla", "Compile .tripla", "CFG for .tripla", "Analyze .tripla", "Exit"],
)
if mode == 3:
if mode == 4:
print("\nBye Bye.")
break
@@ -157,6 +200,7 @@ if __name__ == "__main__":
filename = default
out_path = Path(__file__).parent / 'cfgdots' / filename
out_path.parent.mkdir(exist_ok=True)
with open(out_path, "w") as f:
f.write(dot_str)
@@ -166,6 +210,46 @@ if __name__ == "__main__":
render_diagram(dot_str)
print("Rendered CFG diagram.")
elif mode == 3:
# Reset global CFG builder state so each analysis run is clean
cfg_build.FUNCTIONS.clear()
cfg_build.CURRENT_FUNCTION = None
cfg = make_cfg(ast)
analysis_name = "Live Variables + Reached Uses"
print(f"\nRunning {analysis_name}")
try:
_analyses, annotations, ru_edges = run_all_analyses(cfg)
except Exception as exc:
print(f"Analysis failed: {exc}")
continue
print(
f"Done. {len(annotations)} LV annotation node(s), "
f"{len(ru_edges)} RU definition node(s)."
)
dot_str = analysis_to_dot(cfg, annotations, analysis_name, ru_edges)
if cnsl.prompt_confirmation("\nPrint analysis reports to console?"):
print_analysis_reports(cfg, _analyses, ru_edges)
if cnsl.prompt_confirmation("\nExport annotated CFG as .dot file?"):
default = f"{path.stem}_analysis.dot"
filename = input(f"Filename [{default}]: ").strip()
if not filename:
filename = default
out_dir = Path(__file__).parent / "cfadots"
out_dir.mkdir(exist_ok=True)
out_path = out_dir / filename
try:
with open(out_path, "w") as f:
f.write(dot_str)
print(f"Saved annotated DOT file as: {out_path}")
except Exception as exc:
print(f"Could not save DOT file: {exc}")
if cnsl.prompt_confirmation("Display annotated CFG diagram?"):
render_diagram(dot_str)
print("Rendered annotated CFG diagram.")

View File

@@ -0,0 +1,12 @@
s = 33;
i = 0;
j = 0;
t = i + j;
f = 6;
while (s < 42) do {
a = s - 1;
c = (i + j) * (f + 1);
if (c > 0) then j = j / c else i = j * c;
i = (j * 2) / f;
s = s + 1
}

View File

@@ -0,0 +1,9 @@
let f(x,y,z) {
y = 2;
z = 3;
let g(x) {
x = 7;
if (y > 0) then g(y) else x = 8;
x
} in g(x) + x
} in f(2,3)