"""Lucidia logic — trinary logic, breath functions, symbolic math."""

import hashlib
import math


class Trinary:
    """A trinary value clamped to {-1, 0, 1}."""

    def __init__(self, value: int):
        if value not in (-1, 0, 1):
            raise ValueError(f"Trinary value must be -1, 0, or 1, got {value}")
        self.value = value

    def __add__(self, other: "Trinary") -> "Trinary":
        return Trinary(max(-1, min(1, self.value + other.value)))

    def __sub__(self, other: "Trinary") -> "Trinary":
        return Trinary(max(-1, min(1, self.value - other.value)))

    def invert(self) -> "Trinary":
        return Trinary(-self.value)

    def __repr__(self) -> str:
        return f"Trinary({self.value})"


def psi_prime(x: float) -> float:
    """Default psi function — always returns 0."""
    return 0.0


def breath_function(t: float, psi=None) -> float:
    if psi is None:
        psi = psi_prime
    return psi(t - 1) + psi(t)


def truth_reconciliation(truths: list, psi=None) -> float:
    if psi is None:
        psi = psi_prime
    if not truths:
        return 0.0
    total = sum(psi(x) + psi(-x) for x in truths)
    return total / len(truths)


def emotional_gravity(mass: float, velocity: float, gradient: float) -> float:
    return mass * velocity * gradient


def self_awakening(observations: list, psi=None) -> float:
    if psi is None:
        psi = psi_prime
    total = 0.0
    for t in observations:
        total += breath_function(t, psi) * psi(t)
    return total


def render_break(weights: list, biases: list, psi=None) -> float:
    if psi is None:
        psi = psi_prime
    if len(weights) != len(biases):
        return 0.0
    if not weights:
        return 0.0
    total = sum(psi(w) * b for w, b in zip(weights, biases))
    return total / len(weights)


def recursive_soul_loop(seed: float, observations: list, delta: float, psi=None) -> float:
    if psi is None:
        psi = psi_prime
    if delta == 0.0:
        return 0.0
    total = sum(psi(o) for o in observations)
    return (psi(seed) + total) / delta


def lucidia_genesis(amplitude: float, frequency: float, time: float, psi=None) -> float:
    if psi is None:
        psi = psi_prime
    b = breath_function(time, psi)
    return psi(b) * amplitude * frequency


def consciousness_resonance(loop_obs: float, time_steps: list, dt: float, psi=None) -> float:
    if psi is None:
        psi = psi_prime
    integral = sum(breath_function(t, psi) * dt for t in time_steps)
    return psi(loop_obs) * integral


def anomaly_persistence(signals: list, weights: list, psi=None) -> float:
    if psi is None:
        psi = psi_prime
    if len(signals) != len(weights):
        return 0.0
    return sum(psi(s) * w for s, w in zip(signals, weights))


def compassion_state_encryption(state_a: float, state_b: float, key: str) -> str:
    raw = f"{state_a}:{state_b}"
    h = hashlib.sha256(f"{raw}:{key}".encode()).hexdigest()[:16]
    return f"{h}:{key}"


def emotional_ai_anchor(observations: list, transform, psi=None) -> float:
    if psi is None:
        psi = psi_prime
    if not observations:
        return 0.0
    return sum(psi(transform(o)) for o in observations)


def soul_recognition(signal: float, depth: float, psi=None) -> float:
    if psi is None:
        psi = psi_prime
    return psi(signal) * depth
