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Frequency component interpreter for wavelets_lite.
Takes a LiteSignal (or raw MODWT arrays) and maps the zone alignment into one
of 12 named market patterns, a conviction score, and an action bias.
Zones:
Zone 1 (noise): D1, D2, D3
Zone 2 (signal): sig_levels (default D4, D5)
Zone 3 (trend): D6, A6
Public API:
interpret_signal(sig: LiteSignal) -> FrequencyInterpretation
interpret_signal_from_arrays(details, approx, timeframe, sig_levels) -> FrequencyInterpretation
format_interpretation(interp: FrequencyInterpretation) -> str
"""
from __future__ import annotations
from dataclasses import dataclass
import numpy as np
from .analyzer import LiteSignal
from .core import linear_slope, midband as _midband, safe_slope_window
# ββ Pattern registry βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
_PATTERN_DESC: dict[str, str] = {
"FULL_BULL": "All time scales trending up β strongest bull alignment",
"FULL_BEAR": "All time scales trending down β strongest bear alignment",
"BULL_WITH_NOISE_HEADWIND": "Pullback within a multi-scale uptrend β best long entry",
"BEAR_WITH_NOISE_TAILWIND": "Bounce within a multi-scale downtrend β best short entry",
"COUNTER_TREND_RALLY": "Intermediate rally against a structural downtrend β caution on longs",
"PULLBACK_IN_UPTREND": "Intermediate correction within a structural uptrend β dip-buy candidate",
"ACCELERATION": "Momentum building: noise and signal aligned, structural trend turning up",
"TREND_EXHAUSTION": "Mid-band energy fading while structural uptrend still holds",
"BEAR_EXHAUSTION": "Downtrend losing mid-band energy β potential base forming",
"TRANSITION": "Mid-band stalled, short-term bounce against structural downtrend",
"NOISE_REGIME": "No mid-band or structural trend β sideways consolidation",
"STRUCTURAL_DIVERGENCE": "Intermediate trend up but semi-annual component weakening",
"UNKNOWN": "Zone combination does not match any known pattern",
}
_PATTERN_ACTION: dict[str, str] = {
"FULL_BULL": "FULL_SIZE",
"FULL_BEAR": "FULL_SIZE",
"BULL_WITH_NOISE_HEADWIND": "FULL_SIZE",
"BEAR_WITH_NOISE_TAILWIND": "FULL_SIZE",
"COUNTER_TREND_RALLY": "HALF_SIZE",
"PULLBACK_IN_UPTREND": "HALF_SIZE",
"ACCELERATION": "FULL_SIZE",
"TREND_EXHAUSTION": "FADE",
"BEAR_EXHAUSTION": "FADE",
"TRANSITION": "PASS",
"NOISE_REGIME": "PASS",
"STRUCTURAL_DIVERGENCE": "HALF_SIZE",
"UNKNOWN": "PASS",
}
_ZONE1_LABELS = ["D1", "D2", "D3"]
_ZONE3_LABELS = ["D6", "A6"]
_ZONE_WEIGHTS = (0.15, 0.35, 0.50) # Z1, Z2, Z3
# ββ Dataclass ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
@dataclass
class FrequencyInterpretation:
"""Result of a frequency-zone pattern analysis.
Attributes:
pattern: Named market pattern (one of 12 + UNKNOWN).
conviction: 0.0β1.0 weighted zone alignment score.
action_bias: FULL_SIZE / HALF_SIZE / PASS / FADE.
direction: UP / DOWN / FLAT β derived from Zone 2 (mid-band).
description: One-line human-readable description of the pattern.
zone1_vote: Majority direction of D1, D2, D3 (noise zone).
zone2_vote: Direction of the mid-band signal levels (signal zone).
zone3_vote: Majority direction of D6, A6 (trend zone).
"""
pattern: str
conviction: float
action_bias: str
direction: str
description: str
zone1_vote: str
zone2_vote: str
zone3_vote: str
# ββ Internal helpers βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def _zone_vote(signals: dict[str, float], labels: list[str]) -> str:
"""Majority vote of level_signals over the given labels."""
values = [signals[lb] for lb in labels if lb in signals]
if not values:
return "FLAT"
up = sum(1 for v in values if v > 0)
down = sum(1 for v in values if v < 0)
flat = len(values) - up - down
if up > down and up > flat:
return "UP"
if down > up and down > flat:
return "DOWN"
return "FLAT"
def _sig_vote(raw_signal: float) -> str:
if raw_signal > 0:
return "UP"
if raw_signal < 0:
return "DOWN"
return "FLAT"
def _detect_pattern(z1: str, z2: str, z3: str) -> str:
"""Map (zone1, zone2, zone3) votes to a named pattern."""
if z2 == "FLAT":
if z3 == "FLAT":
return "NOISE_REGIME"
if z3 == "UP":
return "TREND_EXHAUSTION"
# z3 == "DOWN"
return "TRANSITION" if z1 == "UP" else "BEAR_EXHAUSTION"
if z2 == "UP":
if z3 == "UP":
return "FULL_BULL" if z1 == "UP" else "BULL_WITH_NOISE_HEADWIND"
if z3 == "DOWN":
return "COUNTER_TREND_RALLY"
# z3 == "FLAT"
return "ACCELERATION" if z1 == "UP" else "STRUCTURAL_DIVERGENCE"
# z2 == "DOWN"
if z3 == "DOWN":
return "FULL_BEAR" if z1 == "DOWN" else "BEAR_WITH_NOISE_TAILWIND"
if z3 == "UP":
return "PULLBACK_IN_UPTREND"
# z3 == "FLAT"
return "BEAR_EXHAUSTION"
def _agreement(zone_vote: str, direction: str) -> float:
"""Zone agreement score: 1.0 (agrees) / 0.5 (flat) / 0.0 (opposes)."""
if direction == "FLAT" or zone_vote == "FLAT":
return 0.5
return 1.0 if zone_vote == direction else 0.0
def _compute_conviction(z1: str, z2: str, z3: str) -> float:
"""Weighted zone alignment β Zone 3 (0.50) > Zone 2 (0.35) > Zone 1 (0.15)."""
if z2 == "FLAT":
return 0.0
direction = "UP" if z2 == "UP" else "DOWN"
return round(
_agreement(z1, direction) * _ZONE_WEIGHTS[0]
+ 1.0 * _ZONE_WEIGHTS[1] # Z2 always agrees with itself
+ _agreement(z3, direction) * _ZONE_WEIGHTS[2],
3,
)
def _build(z1: str, z2: str, z3: str) -> FrequencyInterpretation:
pattern = _detect_pattern(z1, z2, z3)
return FrequencyInterpretation(
pattern = pattern,
conviction = _compute_conviction(z1, z2, z3),
action_bias = _PATTERN_ACTION[pattern],
direction = z2,
description = _PATTERN_DESC[pattern],
zone1_vote = z1,
zone2_vote = z2,
zone3_vote = z3,
)
# ββ Public API βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def interpret_signal(sig: LiteSignal) -> FrequencyInterpretation:
"""Interpret a LiteSignal's frequency zones into a named market pattern.
Uses precomputed level_signals from the LiteSignal β no re-computation.
Args:
sig: Output of WaveletLiteAnalyzer.analyze() or _analyze_sync().
Returns:
FrequencyInterpretation with pattern, conviction, action_bias, votes.
"""
z1 = _zone_vote(sig.level_signals, _ZONE1_LABELS)
z2 = _sig_vote(sig.raw_signal)
z3 = _zone_vote(sig.level_signals, _ZONE3_LABELS)
return _build(z1, z2, z3)
def interpret_signal_from_arrays(
details: dict[int, np.ndarray],
approx: np.ndarray,
sig_levels: list[int],
slope_window: int = 40,
) -> FrequencyInterpretation:
"""Interpret raw MODWT arrays into a named market pattern.
Use this when you have atrous_swt() output but no LiteSignal.
Args:
details: {j: D_j array} dict from atrous_swt().
approx: Final approximation array A_N from atrous_swt().
sig_levels: Detail levels that form the mid-band, e.g. [4, 5].
slope_window: Bars for OLS slope estimation (default 40).
Returns:
FrequencyInterpretation with pattern, conviction, action_bias, votes.
"""
n = len(approx)
decomp_levels = max(details.keys()) if details else 6
level_signals: dict[str, float] = {}
for j in sorted(details.keys()):
sw = safe_slope_window(j, n, slope_window)
level_signals[f"D{j}"] = float(np.sign(linear_slope(details[j], sw)))
sw_a = safe_slope_window(decomp_levels, n, slope_window)
level_signals["A6"] = float(np.sign(linear_slope(approx, sw_a)))
mb = _midband(details, sig_levels)
sw_mb = safe_slope_window(max(sig_levels), n, slope_window)
raw = float(np.sign(linear_slope(mb, sw_mb)))
z1 = _zone_vote(level_signals, _ZONE1_LABELS)
z2 = _sig_vote(raw)
z3 = _zone_vote(level_signals, _ZONE3_LABELS)
return _build(z1, z2, z3)
# ββ Formatter ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
_ACTION_EMOJI = {
"FULL_SIZE": "π’",
"HALF_SIZE": "π‘",
"PASS": "β«",
"FADE": "π΄",
}
_DIR_ARROW = {"UP": "β²", "DOWN": "βΌ", "FLAT": "β"}
_ZONE_EMOJI = {"UP": "π’", "DOWN": "π΄", "FLAT": "β«"}
def format_interpretation(interp: FrequencyInterpretation) -> str:
"""Render a FrequencyInterpretation as a Telegram HTML string."""
action_emoji = _ACTION_EMOJI.get(interp.action_bias, "β")
dir_arrow = _DIR_ARROW.get(interp.direction, "β")
z1e = _ZONE_EMOJI.get(interp.zone1_vote, "β«")
z2e = _ZONE_EMOJI.get(interp.zone2_vote, "β«")
z3e = _ZONE_EMOJI.get(interp.zone3_vote, "β«")
lines: list[str] = [
f"π <b>Pattern:</b> <code>{interp.pattern}</code>",
f" {dir_arrow} <b>{interp.direction}</b> "
f"conviction <b>{interp.conviction:.0%}</b> "
f"{action_emoji} <b>{interp.action_bias}</b>",
f" <i>{interp.description}</i>",
"",
"<code>Zone 1 (noise) D1βD3 </code>" + f"{z1e} {interp.zone1_vote}",
"<code>Zone 2 (signal) D4βD5 </code>" + f"{z2e} {interp.zone2_vote}",
"<code>Zone 3 (trend) D6+A6 </code>" + f"{z3e} {interp.zone3_vote}",
]
return "\n".join(lines)
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