# HDGL Harmonics + Spiral10000 Integration (V3.0)
# Advanced spiral field generator using HDGL Analog V3.0 Dₙ(r) mathematics
# Base(∞) Numeric Lattice with multi-dimensional harmonic computation

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

class HDGLHarmonicSpiralV30:
    """Advanced HDGL harmonic spiral generator using V3.0 Dₙ(r) mathematics"""

    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 V3.0 Constants
        self.CONSENSUS_EPS = 1e-6
        self.CONSENSUS_N = 100
        self.GAMMA = 0.02
        self.K_COUPLING = 1.0

        # Dₙ(r) Constants
        self.NUM_DN = 8
        self.FIB_TABLE = [1, 1, 2, 3, 5, 8, 13, 21]
        self.PRIME_TABLE = [2, 3, 5, 7, 11, 13, 17, 19]

        # Base(∞) Numeric Lattice constants (from V3.0)
        self.UPPER_FIELD = [
            170.6180339887, 150.9442719100, 12.6180339887, 8.8541019662,
            4.2360679775, 3.6180339887, 1.6180339887
        ]
        self.ANALOG_DIMS = [
            8.3141592654, 7.8541019662, 6.4721359549, 5.6180339887,
            4.8541019662, 3.6180339887, 2.6180339887, 1.6180339887,
            1.0000000000, 7.8541019662, 11.0901699437, 17.9442719100, 29.0344465435
        ]
        self.VOID_STATE = 0.0
        self.LOWER_FIELD = [
            0.0000000001, 0.0344465435, 0.0557280900, 0.0901699437,
            0.1458980338, 0.2360679775, 0.3819660113, 0.6180339887
        ]
        self.SIBLING_HARMONICS = [
            0.0901699437, 0.1458980338, 0.2360679775, 0.3090169944,
            0.3819660113, 0.4721359549, 0.6545084972, 0.8729833462
        ]

        # Base(∞) Seeds (64 special values from V3.0)
        self.BASE_INFINITY_SEEDS = [
            0.6180339887, 1.6180339887, 2.6180339887, 3.6180339887, 4.8541019662,
            5.6180339887, 6.4721359549, 7.8541019662, 8.3141592654, 0.0901699437,
            0.1458980338, 0.2360679775, 0.3090169944, 0.3819660113, 0.4721359549,
            0.6545084972, 0.8729833462, 1.0000000000, 1.2360679775, 1.6180339887,
            2.2360679775, 2.6180339887, 3.1415926535, 3.6180339887, 4.2360679775,
            4.8541019662, 5.6180339887, 6.4721359549, 7.2360679775, 7.8541019662,
            8.6180339887, 9.2360679775, 9.8541019662, 10.6180339887, 11.0901699437,
            11.9442719100, 12.6180339887, 13.6180339887, 14.2360679775, 14.8541019662,
            15.6180339887, 16.4721359549, 17.2360679775, 17.9442719100, 18.6180339887,
            19.2360679775, 19.8541019662, 20.6180339887, 21.0901699437, 21.9442719100,
            22.6180339887, 23.6180339887, 24.2360679775, 24.8541019662, 25.6180339887,
            26.4721359549, 27.2360679775, 27.9442719100, 28.6180339887, 29.0344465435,
            29.6180339887, 30.2360679775, 30.8541019662, 31.6180339887
        ]

        # 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 using V3.0 Dₙ(r) mathematics"""
        print(f"Generating {self.spiral_points}-point quantum spiral (V3.0 Dₙ(r))...")

        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

            # V3.0 Dₙ(r) harmonic modulation
            harmonic_modulation = self._compute_Dn_r_modulation(i, base_radius, t)

            # Quantum uncertainty with Base(∞) seeds
            seed_idx = i % len(self.BASE_INFINITY_SEEDS)
            base_seed = self.BASE_INFINITY_SEEDS[seed_idx]
            uncertainty = 0.01 * math.sqrt(i + 1) * base_seed

            # Final radius with V3.0 modulations
            radius = base_radius * (1 + harmonic_modulation) + uncertainty

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

            # V3.0 multi-dimensional energy computation
            energy = self._compute_v30_energy(i, radius, angle, t)

            # Phase from sibling harmonics
            phase = self._compute_sibling_phase(i, t)

            # Spin based on Dₙ dimension
            dimension_n = (i % self.NUM_DN) + 1
            spin = (-1) ** (dimension_n % 2)  # Alternating based on dimension

            # V3.0 ternary state (enhanced)
            ternary_state = self._compute_v30_ternary(i, energy, phase, dimension_n)

            # Dₙ(r) amplitude
            dn_amplitude = self._compute_Dn_r(dimension_n, base_radius / 100.0, 1.0 + 0.1 * math.sin(t))

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

            spiral_data.append(point)

        self.spiral_data = spiral_data
        print(f"✓ Generated {len(spiral_data)} V3.0 Dₙ(r) spiral points")
        return spiral_data

    def _compute_Dn_r(self, n: int, r: float, omega: float) -> float:
        """Compute Dₙ(r) value using V3.0 formula: √(ϕ · Fₙ · 2ⁿ · Pₙ · Ω) · r^k"""
        if n < 1 or n > self.NUM_DN:
            return 0.0

        idx = n - 1
        phi = self.PHI
        F_n = float(self.FIB_TABLE[idx])
        two_n = math.pow(2.0, n)
        P_n = float(self.PRIME_TABLE[idx])
        k = (n + 1) / 8.0  # Progressive dimensionality

        base = math.sqrt(phi * F_n * two_n * P_n * omega)
        r_power = math.pow(abs(r), k)

        return base * r_power

    def _compute_Dn_r_modulation(self, i: int, radius: float, t: float) -> float:
        """Compute harmonic modulation using multiple Dₙ(r) dimensions"""
        modulation = 0.0

        # Use multiple dimensions for richer harmonics
        for dim in range(1, min(5, self.NUM_DN + 1)):  # Use first 4 dimensions
            r_normalized = min(radius / 100.0, 1.0)  # Normalize radius
            omega = 1.0 + 0.2 * math.sin(t * 0.01 * dim)  # Time-varying omega

            dn_val = self._compute_Dn_r(dim, r_normalized, omega)

            # Weight by sibling harmonics
            sibling_weight = self.SIBLING_HARMONICS[dim - 1]
            modulation += sibling_weight * dn_val * 0.01

        return modulation

    def _compute_v30_energy(self, i: int, radius: float, angle: float, t: float) -> float:
        """Compute energy using V3.0 multi-dimensional mathematics"""
        # Base energy from upper field scaling
        upper_idx = i % len(self.UPPER_FIELD)
        base_energy = self.UPPER_FIELD[upper_idx]

        # Analog dimensionality modulation
        analog_idx = i % len(self.ANALOG_DIMS)
        analog_factor = self.ANALOG_DIMS[analog_idx]

        # Radial decay with void state consideration
        radial_factor = math.exp(-radius / (analog_factor * self.PHI))

        # Angular resonance using lower field
        lower_idx = i % len(self.LOWER_FIELD)
        angular_resonance = math.cos(angle * self.LOWER_FIELD[lower_idx] * 10)

        # Time evolution with Base(∞) seeds
        seed_idx = i % len(self.BASE_INFINITY_SEEDS)
        temporal_evolution = math.sin(t * self.BASE_INFINITY_SEEDS[seed_idx])

        # Combine V3.0 energy components
        energy = base_energy * radial_factor * (1 + 0.1 * angular_resonance) * (1 + 0.05 * temporal_evolution)

        return energy

    def _compute_sibling_phase(self, i: int, t: float) -> float:
        """Compute phase using sibling harmonics"""
        phase = 0.0

        for idx, sibling in enumerate(self.SIBLING_HARMONICS):
            # Each sibling harmonic contributes to phase evolution
            phase_contribution = sibling * math.sin(2 * math.pi * (idx + 1) * t * 0.001)
            phase += phase_contribution

        # Normalize to [0, 2π)
        return phase % (2 * math.pi)

    def _compute_v30_ternary(self, i: int, energy: float, phase: float, dimension_n: int) -> int:
        """Compute enhanced ternary state using V3.0 mathematics"""
        # Use analog dimensions for threshold calculation
        analog_idx = i % len(self.ANALOG_DIMS)
        energy_threshold = self.ANALOG_DIMS[analog_idx] * 0.1

        # Dimension-based ternary logic
        if dimension_n % 3 == 1:  # Dimension 1,4,7 -> positive bias
            if energy > energy_threshold * self.PHI:
                return 1
            elif energy < energy_threshold * self.INV_PHI:
                return -1
            else:
                return 0
        elif dimension_n % 3 == 2:  # Dimension 2,5,8 -> neutral bias
            phase_threshold = math.pi / dimension_n
            if abs(phase) > phase_threshold:
                return 1 if phase > 0 else -1
            else:
                return 0
        else:  # Dimension 3,6 -> negative bias
            if energy > energy_threshold * self.PHI * 1.5:
                return 1
            elif energy < energy_threshold * self.INV_PHI * 0.5:
                return -1
            else:
                return 0

    def generate_harmonic_field(self) -> List[Dict[str, Any]]:
        """Generate harmonic field overlay using V3.0 Base(∞) mathematics"""
        print("Generating V3.0 Base(∞) 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 V3.0 field calculation
                nearest_points = self._find_nearest_spiral_points(x, y, 5)

                # Calculate field strength using Base(∞) mathematics
                field_strength = 0.0
                base_infinity_factor = 0.0

                for point in nearest_points:
                    distance = math.sqrt((x - point['x'])**2 + (y - point['y'])**2)
                    if distance > 0:
                        # V3.0 inverse power law with Base(∞) modulation
                        seed_factor = point['base_seed']
                        contribution = point['energy'] / math.pow(distance, self.INV_PHI) * seed_factor
                        field_strength += contribution
                        base_infinity_factor += seed_factor

                # Apply V3.0 sibling harmonic modulation
                t = time.time()
                sibling_mod = 0.0
                for idx, sibling in enumerate(self.SIBLING_HARMONICS[:4]):
                    sibling_mod += sibling * math.sin(2 * math.pi * (idx + 1) * t * 0.01)

                # V3.0 total field with void state consideration
                total_field = field_strength * (1 + 0.1 * sibling_mod)
                if abs(total_field) < self.VOID_STATE:
                    total_field = self.VOID_STATE

                field_point = {
                    'x': x,
                    'y': y,
                    'r': r,
                    'theta': theta,
                    'field_strength': field_strength,
                    'base_infinity_factor': base_infinity_factor / max(1, len(nearest_points)),
                    'sibling_modulation': sibling_mod,
                    'total_field': total_field,
                    'void_corrected': abs(total_field) >= self.VOID_STATE
                }

                field_data.append(field_point)

        self.harmonic_field = field_data
        print(f"✓ Generated {len(field_data)} V3.0 Base(∞) 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[str, Any]]:
        """Generate HDGL lattice nodes using V3.0 Dₙ(r) resonance criteria"""
        print("Generating V3.0 Dₙ(r) lattice nodes...")

        lattice_nodes = []
        resonance_threshold = 0.1

        # Find high-energy resonance points using V3.0 criteria
        for point in self.spiral_data:
            # V3.0 resonance condition: energy > threshold AND Dₙ amplitude significant
            energy_resonance = point['energy'] > resonance_threshold
            dn_resonance = point['dn_amplitude'] > resonance_threshold * 10
            base_seed_resonance = point['base_seed'] > 1.0  # Base(∞) seed significance

            if energy_resonance and (dn_resonance or base_seed_resonance):
                # Create lattice node with V3.0 properties
                node = {
                    'id': f"node_{point['index']}",
                    'x': point['x'],
                    'y': point['y'],
                    'energy': point['energy'],
                    'phase': point['phase'],
                    'spin': point['spin'],
                    'ternary': point['ternary'],
                    'dimension_n': point['dimension_n'],
                    'dn_amplitude': point['dn_amplitude'],
                    'base_seed': point['base_seed'],
                    'connections': self._find_v30_lattice_connections(point)
                }
                lattice_nodes.append(node)

        self.lattice_nodes = lattice_nodes
        print(f"✓ Generated {len(lattice_nodes)} V3.0 Dₙ(r) lattice nodes")
        return lattice_nodes

    def _find_v30_lattice_connections(self, point: Dict[str, Any]) -> List[str]:
        """Find lattice connections using V3.0 Base(∞) mathematics"""
        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:
                    # V3.0 connection criteria
                    energy_compat = abs(point['energy'] - other_point['energy']) < 0.5
                    dimension_compat = abs(point['dimension_n'] - other_point['dimension_n']) <= 1
                    seed_compat = abs(point['base_seed'] - other_point['base_seed']) < 1.0

                    if energy_compat and (dimension_compat or seed_compat):
                        connections.append(f"node_{other_point['index']}")

        return connections[:12]  # Allow more connections in V3.0

    def calculate_field_statistics(self) -> Dict[str, Any]:
        """Calculate comprehensive V3.0 field statistics"""
        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]
        dn_amplitudes = [p['dn_amplitude'] for p in self.spiral_data]
        base_seeds = [p['base_seed'] 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]
            },
            'dn_stats': {
                'mean': sum(dn_amplitudes) / len(dn_amplitudes),
                'max': max(dn_amplitudes),
                'min': min(dn_amplitudes)
            },
            'base_infinity_stats': {
                'mean': sum(base_seeds) / len(base_seeds),
                'max': max(base_seeds),
                'min': min(base_seeds),
                'unique_seeds': len(set(base_seeds))
            },
            '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)),
                'dimensions_used': len(set(n['dimension_n'] for n in self.lattice_nodes))
            },
            'golden_ratio': self.PHI,
            'num_dn_dimensions': self.NUM_DN,
            'base_infinity_seeds': len(self.BASE_INFINITY_SEEDS)
        }

        return stats

    def export_to_json(self, filename: str = "hdgl_spiral10000_v30.json"):
        """Export complete V3.0 spiral field data to JSON"""
        data = {
            'metadata': {
                'generator': 'HDGLHarmonicSpiralV30',
                'spiral_points': self.spiral_points,
                'timestamp': time.time(),
                'version': '3.0',
                'algorithm': 'Dₙ(r) Base(∞) Numeric Lattice'
            },
            'constants': {
                'PHI': self.PHI,
                'GOLDEN_ANGLE': self.GOLDEN_ANGLE,
                'CONSENSUS_EPS': self.CONSENSUS_EPS,
                'GAMMA': self.GAMMA,
                'K_COUPLING': self.K_COUPLING,
                'NUM_DN': self.NUM_DN,
                'VOID_STATE': self.VOID_STATE
            },
            'numeric_lattice': {
                'upper_field': self.UPPER_FIELD,
                'analog_dims': self.ANALOG_DIMS,
                'lower_field': self.LOWER_FIELD,
                'sibling_harmonics': self.SIBLING_HARMONICS,
                'base_infinity_seeds': self.BASE_INFINITY_SEEDS
            },
            '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 V3.0 Dₙ(r) spiral field to {filename}")
        return filename

def main():
    """Main execution function for V3.0"""
    print("🌟 HDGL Harmonics + Spiral10000 Integration (V3.0) 🌟")
    print("🚀 Using Dₙ(r) Base(∞) Numeric Lattice Mathematics 🚀")
    print("=" * 70)

    # Create HDGL V3.0 harmonic spiral generator
    spiral_gen = HDGLHarmonicSpiralV30(spiral_points=10000)

    # Generate complete V3.0 spiral field
    print("\n1. Generating V3.0 Dₙ(r) quantum spiral...")
    spiral_gen.generate_quantum_spiral()

    print("\n2. Generating V3.0 Base(∞) harmonic field overlay...")
    spiral_gen.generate_harmonic_field()

    print("\n3. Generating V3.0 Dₙ(r) lattice nodes...")
    spiral_gen.generate_lattice_nodes()

    print("\n4. Calculating V3.0 field statistics...")
    stats = spiral_gen.calculate_field_statistics()

    print("\n5. Exporting V3.0 data...")
    spiral_gen.export_to_json()

    # Display enhanced V3.0 summary
    print("\n" + "=" * 70)
    print("🚀 HDGL V3.0 Dₙ(r) SPIRAL FIELD GENERATION COMPLETE 🚀")
    print("=" * 70)
    print(f"Total Spiral Points: {stats['total_points']:,}")
    print(f"Dₙ(r) Lattice Nodes: {stats['lattice_stats']['total_nodes']}")
    print(f"Dimensions Used: {stats['lattice_stats']['dimensions_used']}")
    print(f"Final Radius: {stats['radius_stats']['final_radius']:.1f}")
    print(f"Energy Range: {stats['energy_stats']['min']:.6f} - {stats['energy_stats']['max']:.6f}")
    print(f"Base(∞) Seeds: {stats['base_infinity_stats']['unique_seeds']}")
    print(f"Dₙ Mean Amplitude: {stats['dn_stats']['mean']:.3f}")
    print(f"Golden Ratio φ: {stats['golden_ratio']:.6f}")
    print(f"Dₙ Dimensions: {stats['num_dn_dimensions']}")
    print("=" * 70)

if __name__ == "__main__":
    main()