# HDGL Harmonics + Spiral10000 Integration
# Advanced spiral field generator combining HDGL harmonics with massive 10,000-point spiral patterns
# Now using Analog Engine mathematics for high-performance computation

import math
import time
import random
import json
from typing import List, Dict, Tuple, Any, Any

class HDGLHarmonicSpiral:
    """Advanced HDGL harmonic spiral generator with 10,000-point resolution"""

    def __init__(self, spiral_points: int = 10000):
        self.PHI = 1.618033988749895  # Golden ratio
        self.INV_PHI = 1 / self.PHI
        self.GOLDEN_ANGLE = 2 * math.pi * self.INV_PHI
        self.spiral_points = spiral_points

        # HDGL Constants (from analog engine)
        self.CONSENSUS_EPS = 1e-6
        self.CONSENSUS_N = 100
        self.GAMMA = 0.02
        self.K_COUPLING = 1.0

        # Analog engine mathematical tables
        self.fib_table = [1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987]
        self.prime_table = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53]
        self.fib_len = 16
        self.prime_len = 16

        # Harmonic series (first 8 harmonics)
        self.HARMONIC_SERIES = [self.PHI**i for i in range(8)]

        # Initialize spiral data
        self.spiral_data: List[Dict[str, Any]] = []
        self.harmonic_field: List[Dict[str, Any]] = []
        self.lattice_nodes: List[Dict[str, Any]] = []

    def generate_quantum_spiral(self) -> List[Dict[str, Any]]:
        """Generate 10,000-point quantum spiral with HDGL harmonics"""
        print(f"Generating {self.spiral_points}-point quantum spiral...")

        spiral_data = []
        t = time.time()

        for i in range(self.spiral_points):
            # Golden ratio spiral positioning
            angle = i * self.GOLDEN_ANGLE
            base_radius = math.sqrt(i + 1) * self.PHI

            # HDGL harmonic modulation
            harmonic_modulation = self._calculate_harmonic_modulation(i, t, base_radius, angle)

            # Quantum uncertainty (Gaussian noise)
            uncertainty = random.gauss(0, 0.01 * math.sqrt(i + 1))

            # Final radius with all modulations
            radius = base_radius * (1 + harmonic_modulation) + uncertainty

            # Calculate position
            x = radius * math.cos(angle)
            y = radius * math.sin(angle)

            # HDGL lattice field properties
            energy = self._calculate_lattice_energy(i, radius, angle, t)
            phase = self._calculate_quantum_phase(i, t)
            spin = (-1) ** i  # Alternating spin

            # Ternary state (HDGL's 3-state system)
            ternary_state = self._calculate_ternary_state(i, energy, phase)

            point = {
                'index': i,
                'angle': angle,
                'radius': radius,
                'x': x,
                'y': y,
                'energy': energy,
                'phase': phase,
                'spin': spin,
                'ternary': ternary_state,
                'harmonic_power': harmonic_modulation,
                'evolution_time': t
            }

            spiral_data.append(point)

        self.spiral_data = spiral_data
        print(f"✓ Generated {len(spiral_data)} spiral points")
        return spiral_data

    def _calculate_harmonic_modulation(self, i: int, t: float, radius: float, angle: float) -> float:
        """Calculate HDGL harmonic modulation for spiral point using Analog Engine mathematics"""
        # Use analog engine's prismatic_recursion for authentic HDGL computation
        return self._prismatic_recursion(i, radius, t)

    def _prismatic_recursion(self, idx: int, val: float, time: float) -> float:
        """Analog Engine prismatic recursion - authentic HDGL harmonic computation"""
        # From hdgl_analog_v26.c - prismatic_recursion function
        phi_harm = self.PHI ** (idx % 16)
        fib_harm = self.fib_table[idx % self.fib_len]
        dyadic = 1 << (idx % 16)  # 2^(idx % 16)
        prime_harm = self.prime_table[idx % self.prime_len]
        omega_val = 0.5 + 0.5 * math.sin(time + idx * 0.01)
        r_dim = math.pow(abs(val), (idx % 7 + 1) / 8.0)

        return math.sqrt(phi_harm * fib_harm * dyadic * prime_harm * omega_val) * r_dim

    def _calculate_lattice_energy(self, i: int, radius: float, angle: float, t: float) -> float:
        """Calculate HDGL lattice field energy at spiral point"""
        # Base energy from golden ratio scaling
        base_energy = self.PHI ** (i % 7)  # 7 is a prime number

        # Radial energy decay (quantum field effect)
        radial_energy = math.exp(-radius / (100 * self.PHI))

        # Angular resonance (HDGL coupling)
        angular_resonance = math.cos(angle * self.K_COUPLING)

        # Time-dependent evolution
        temporal_evolution = math.sin(t * self.GAMMA * (i + 1))

        # Combine energy components
        energy = base_energy * radial_energy * (1 + 0.1 * angular_resonance) * (1 + 0.05 * temporal_evolution)

        return energy

    def _calculate_quantum_phase(self, i: int, t: float) -> float:
        """Calculate quantum phase for HDGL evolution"""
        # Phase accumulation based on evolution steps
        phase_accumulation = i * self.CONSENSUS_EPS * self.CONSENSUS_N

        # Golden ratio phase modulation
        golden_phase = math.sin(2 * math.pi * self.INV_PHI * i)

        # Time-dependent phase evolution
        temporal_phase = t * self.GAMMA * math.log(i + 2)

        return (phase_accumulation + golden_phase + temporal_phase) % (2 * math.pi)

    def _calculate_ternary_state(self, i: int, energy: float, phase: float) -> int:
        """Calculate HDGL ternary state (-1, 0, 1)"""
        # Energy threshold for state determination
        energy_threshold = self.PHI ** ((i % 3) - 1)

        if energy > energy_threshold * self.PHI:
            return 1   # High energy state
        elif energy < energy_threshold * self.INV_PHI:
            return -1  # Low energy state
        else:
            return 0   # Equilibrium state

    def generate_harmonic_field(self) -> List[Dict[str, Any]]:
        """Generate harmonic field overlay for the spiral"""
        print("Generating harmonic field overlay...")

        field_data = []
        field_resolution = 100  # 100x100 grid

        for x_idx in range(field_resolution):
            for y_idx in range(field_resolution):
                # Map to spiral coordinate system
                x = (x_idx - field_resolution/2) * 2
                y = (y_idx - field_resolution/2) * 2

                # Convert to polar coordinates
                r = math.sqrt(x*x + y*y)
                theta = math.atan2(y, x)

                # Find nearest spiral points for field calculation
                nearest_points = self._find_nearest_spiral_points(x, y, 5)

                # Calculate field strength from nearby spiral points
                field_strength = 0
                for point in nearest_points:
                    distance = math.sqrt((x - point['x'])**2 + (y - point['y'])**2)
                    if distance > 0:
                        # Inverse square law with golden ratio modulation
                        contribution = point['energy'] / (distance ** self.INV_PHI)
                        field_strength += contribution

                # Apply harmonic modulation
                t = time.time()
                harmonic_mod = sum(math.sin(2 * math.pi * freq * t * 0.01) * self.PHI**(-idx)
                                  for idx, freq in enumerate(self.HARMONIC_SERIES[:4]))

                field_point = {
                    'x': x,
                    'y': y,
                    'r': r,
                    'theta': theta,
                    'field_strength': field_strength,
                    'harmonic_modulation': harmonic_mod,
                    'total_field': field_strength * (1 + 0.1 * harmonic_mod)
                }

                field_data.append(field_point)

        self.harmonic_field = field_data
        print(f"✓ Generated {len(field_data)} harmonic field points")
        return field_data

    def _find_nearest_spiral_points(self, x: float, y: float, count: int) -> List[Dict[str, Any]]:
        """Find nearest spiral points to a given coordinate"""
        distances = []

        for point in self.spiral_data:
            distance = math.sqrt((x - point['x'])**2 + (y - point['y'])**2)
            distances.append((distance, point))

        # Sort by distance and return closest points
        distances.sort(key=lambda d: d[0])
        return [point for _, point in distances[:count]]

    def generate_lattice_nodes(self) -> List[Dict]:
        """Generate HDGL lattice nodes based on spiral field resonances"""
        print("Generating HDGL lattice nodes...")

        lattice_nodes = []
        resonance_threshold = 0.1

        # Find high-energy resonance points in the spiral
        for point in self.spiral_data:
            if point['energy'] > resonance_threshold:
                # Create lattice node at resonance point
                node = {
                    'id': f"node_{point['index']}",
                    'x': point['x'],
                    'y': point['y'],
                    'energy': point['energy'],
                    'phase': point['phase'],
                    'spin': point['spin'],
                    'ternary': point['ternary'],
                    'connections': self._find_lattice_connections(point)
                }
                lattice_nodes.append(node)

        self.lattice_nodes = lattice_nodes
        print(f"✓ Generated {len(lattice_nodes)} lattice nodes")
        return lattice_nodes

    def _find_lattice_connections(self, point: Dict) -> List[str]:
        """Find lattice connections for a given point"""
        connections = []
        connection_distance = 50  # Connection threshold

        for other_point in self.spiral_data:
            if other_point['index'] != point['index']:
                distance = math.sqrt((point['x'] - other_point['x'])**2 +
                                   (point['y'] - other_point['y'])**2)
                if distance < connection_distance:
                    # Check energy compatibility for connection
                    energy_diff = abs(point['energy'] - other_point['energy'])
                    if energy_diff < 0.5:  # Energy resonance threshold
                        connections.append(f"node_{other_point['index']}")

        return connections[:8]  # Limit connections per node

    def calculate_field_statistics(self) -> Dict:
        """Calculate comprehensive statistics for the spiral field"""
        if not self.spiral_data:
            return {}

        energies = [p['energy'] for p in self.spiral_data]
        phases = [p['phase'] for p in self.spiral_data]
        radii = [p['radius'] for p in self.spiral_data]

        stats = {
            'total_points': len(self.spiral_data),
            'energy_stats': {
                'mean': sum(energies) / len(energies),
                'max': max(energies),
                'min': min(energies),
                'std_dev': math.sqrt(sum((e - sum(energies)/len(energies))**2 for e in energies) / len(energies))
            },
            'phase_stats': {
                'mean': sum(phases) / len(phases),
                'max': max(phases),
                'min': min(phases)
            },
            'radius_stats': {
                'mean': sum(radii) / len(radii),
                'max': max(radii),
                'min': min(radii),
                'final_radius': radii[-1]
            },
            'lattice_stats': {
                'total_nodes': len(self.lattice_nodes),
                'avg_connections': sum(len(n['connections']) for n in self.lattice_nodes) / max(1, len(self.lattice_nodes))
            },
            'golden_ratio': self.PHI,
            'harmonic_series': self.HARMONIC_SERIES
        }

        return stats

    def export_to_json(self, filename: str = "hdgl_spiral10000.json"):
        """Export complete spiral field data to JSON"""
        data = {
            'metadata': {
                'generator': 'HDGLHarmonicSpiral',
                'spiral_points': self.spiral_points,
                'timestamp': time.time(),
                'version': '1.0'
            },
            'constants': {
                'PHI': self.PHI,
                'GOLDEN_ANGLE': self.GOLDEN_ANGLE,
                'CONSENSUS_EPS': self.CONSENSUS_EPS,
                'GAMMA': self.GAMMA,
                'K_COUPLING': self.K_COUPLING
            },
            'spiral_data': self.spiral_data,
            'harmonic_field': self.harmonic_field,
            'lattice_nodes': self.lattice_nodes,
            'statistics': self.calculate_field_statistics()
        }

        with open(filename, 'w') as f:
            json.dump(data, f, indent=2)

        print(f"✓ Exported complete spiral field to {filename}")
        return filename

def main():
    """Main execution function"""
    print("🌟 HDGL Harmonics + Spiral10000 Integration 🌟")
    print("=" * 60)

    # Create HDGL harmonic spiral generator
    spiral_gen = HDGLHarmonicSpiral(spiral_points=10000)

    # Generate complete spiral field
    print("\n1. Generating quantum spiral...")
    spiral_gen.generate_quantum_spiral()

    print("\n2. Generating harmonic field overlay...")
    spiral_gen.generate_harmonic_field()

    print("\n3. Generating HDGL lattice nodes...")
    spiral_gen.generate_lattice_nodes()

    print("\n4. Calculating field statistics...")
    stats = spiral_gen.calculate_field_statistics()

    print("\n5. Exporting data...")
    spiral_gen.export_to_json()

    # Display summary
    print("\n" + "=" * 60)
    print("🌟 SPIRAL FIELD GENERATION COMPLETE 🌟")
    print("=" * 60)
    print(f"Total Spiral Points: {stats['total_points']:,}")
    print(f"Lattice Nodes: {stats['lattice_stats']['total_nodes']}")
    print(f"Max Energy: {stats['energy_stats']['max']:.6f}")
    print(f"Min Energy: {stats['energy_stats']['min']:.6f}")
    print(f"Final Radius: {stats['radius_stats']['final_radius']:.1f}")
    print(f"Avg Connections: {stats['lattice_stats']['avg_connections']:.3f}")
    print(f"Golden Ratio φ: {stats['golden_ratio']:.6f}")
    print("=" * 60)

if __name__ == "__main__":
    main()