Optimized Operations

# Import optimized BLS12-381 operations
from py_ecc.optimized_bls12_381 import (
    G1, G2, G12, Z1, Z2,
    add, double, multiply, neg, eq, is_inf, is_on_curve, normalize,
    pairing, final_exponentiate,
    multiply_clear_cofactor_G1, multiply_clear_cofactor_G2,
    optimized_swu_G1, optimized_swu_G2, iso_map_G1, iso_map_G2,
    curve_order, field_modulus, twist, b, b2, b12
)

# Import optimized BN128 operations
from py_ecc.optimized_bn128 import (
    G1, G2, G12, Z1, Z2,
    add, double, multiply, neg, eq, is_inf, is_on_curve, normalize,
    pairing, final_exponentiate,
    curve_order, field_modulus, twist, b, b2, b12
)

def add(p1, p2):
    """Optimized point addition with improved performance."""

def double(p):
    """Optimized point doubling with improved performance."""

def multiply(p, n):
    """Optimized scalar multiplication with windowing and precomputation."""

def normalize(p):
    """
    Normalize a point to affine coordinates.
    
    Args:
        p: Point in projective or jacobian coordinates
        
    Returns:
        Point in affine coordinates (x, y)
    """

def multiply_clear_cofactor_G1(p):
    """
    Clear the cofactor for a G1 point to ensure it's in the correct subgroup.
    
    Args:
        p: Point in G1 (may not be in correct subgroup)
        
    Returns:
        Point in the correct G1 subgroup
    """

def multiply_clear_cofactor_G2(p):
    """
    Clear the cofactor for a G2 point to ensure it's in the correct subgroup.
    
    Args:
        p: Point in G2 (may not be in correct subgroup)
        
    Returns:
        Point in the correct G2 subgroup
    """

def optimized_swu_G1(t):
    """
    Optimized Simplified SWU hash-to-curve for G1.
    
    Args:
        t: Field element to map to curve
        
    Returns:
        Point on the G1 curve
    """

def optimized_swu_G2(t):
    """
    Optimized Simplified SWU hash-to-curve for G2.
    
    Args:
        t: Field element (in Fp2) to map to curve
        
    Returns:
        Point on the G2 curve
    """

def iso_map_G1(p):
    """
    Apply the isomorphism map for G1 points.
    
    Args:
        p: Point on the isogenous curve
        
    Returns:
        Point on the target G1 curve
    """

def iso_map_G2(p):
    """
    Apply the isomorphism map for G2 points.
    
    Args:
        p: Point on the isogenous curve
        
    Returns:
        Point on the target G2 curve
    """

def pairing(p1, p2):
    """
    Optimized bilinear pairing computation.
    
    Args:
        p1: Point in G1
        p2: Point in G2
        
    Returns:
        Element in GT with optimized computation
    """

def final_exponentiate(p):
    """
    Optimized final exponentiation for pairing.
    
    Args:
        p: Element from Miller loop
        
    Returns:
        Final pairing result with optimized exponentiation
    """

import time
from py_ecc.bls12_381 import multiply as ref_multiply, G1 as ref_G1
from py_ecc.optimized_bls12_381 import multiply as opt_multiply, G1 as opt_G1

# Large scalar for performance testing
large_scalar = 2**128 + 12345

# Reference implementation timing
start = time.time()
ref_result = ref_multiply(ref_G1, large_scalar)
ref_time = time.time() - start

# Optimized implementation timing
start = time.time()
opt_result = opt_multiply(opt_G1, large_scalar)
opt_time = time.time() - start

print(f"Reference time: {ref_time:.4f}s")
print(f"Optimized time: {opt_time:.4f}s")
print(f"Speedup: {ref_time/opt_time:.2f}x")

from py_ecc.optimized_bls12_381 import (
    G1, G2, multiply_clear_cofactor_G1, multiply_clear_cofactor_G2,
    is_on_curve
)

# Create points that may not be in the correct subgroup
# (In practice, these might come from untrusted sources)
point_g1 = multiply(G1, 12345)
point_g2 = multiply(G2, 67890)

# Ensure points are in correct subgroups
cleared_g1 = multiply_clear_cofactor_G1(point_g1)
cleared_g2 = multiply_clear_cofactor_G2(point_g2)

# Verify they're still on the curve
assert is_on_curve(cleared_g1)
assert is_on_curve(cleared_g2)

print("Subgroup clearing completed")

from py_ecc.optimized_bls12_381 import (
    optimized_swu_G1, optimized_swu_G2, 
    iso_map_G1, iso_map_G2,
    multiply_clear_cofactor_G1, multiply_clear_cofactor_G2
)
from py_ecc.fields import optimized_bls12_381_FQ as FQ, optimized_bls12_381_FQ2 as FQ2

def hash_to_g1(data: bytes):
    """Complete hash-to-G1 pipeline."""
    # In practice, you'd hash the data to get field elements
    # This is a simplified example
    t = FQ(int.from_bytes(data[:32], 'big'))
    
    # Apply SWU map
    point = optimized_swu_G1(t)
    
    # Apply isomorphism
    iso_point = iso_map_G1(point)
    
    # Clear cofactor
    final_point = multiply_clear_cofactor_G1(iso_point)
    
    return final_point

def hash_to_g2(data: bytes):
    """Complete hash-to-G2 pipeline."""
    # Create Fp2 element from data
    t = FQ2([
        int.from_bytes(data[:32], 'big'),
        int.from_bytes(data[32:64], 'big')
    ])
    
    # Apply SWU map
    point = optimized_swu_G2(t)
    
    # Apply isomorphism
    iso_point = iso_map_G2(point)
    
    # Clear cofactor
    final_point = multiply_clear_cofactor_G2(iso_point)
    
    return final_point

# Example usage
message = b"Hello, hash-to-curve!" + b"\x00" * 43  # Pad to 64 bytes
g1_point = hash_to_g1(message)
g2_point = hash_to_g2(message)

print("Hash-to-curve operations completed")

from py_ecc.optimized_bls12_381 import G1, G2, multiply, pairing
from py_ecc.fields import optimized_bls12_381_FQ12 as FQ12

def optimized_multi_pairing(g1_points, g2_points):
    """Compute product of multiple pairings efficiently."""
    assert len(g1_points) == len(g2_points)
    
    # Compute individual pairings
    pairings = []
    for p1, p2 in zip(g1_points, g2_points):
        pairings.append(pairing(p1, p2))
    
    # Multiply all results
    result = FQ12.one()
    for p in pairings:
        result = result * p
    
    return result

# Example: Aggregate signature verification style computation
g1_points = [multiply(G1, i) for i in [123, 456, 789]]
g2_points = [multiply(G2, i) for i in [321, 654, 987]]

multi_pairing_result = optimized_multi_pairing(g1_points, g2_points)
print("Multi-pairing computation completed")

from py_ecc.optimized_bls12_381 import G1, multiply, normalize, add

# Operations may result in points in projective coordinates
p1 = multiply(G1, 123)
p2 = multiply(G1, 456)
sum_point = add(p1, p2)

# Normalize to affine coordinates for storage or transmission
normalized_point = normalize(sum_point)

print(f"Point normalized to affine coordinates")

from py_ecc.optimized_bls12_381 import pairing, G1, multiply
from py_ecc.bls.g2_primitives import signature_to_G2, pubkey_to_G1

def fast_bls_verify(pubkey_bytes, message_hash_point, signature_bytes):
    """
    Fast BLS signature verification using optimized operations.
    
    Args:
        pubkey_bytes: 48-byte compressed public key
        message_hash_point: Pre-computed hash-to-curve of message
        signature_bytes: 96-byte signature
        
    Returns:
        bool: True if signature is valid
    """
    try:
        # Convert bytes to curve points
        pubkey = pubkey_to_G1(pubkey_bytes)
        signature = signature_to_G2(signature_bytes)
        
        # Pairing check: e(H(m), pk) == e(sig, G1)
        lhs = pairing(message_hash_point, pubkey)
        rhs = pairing(signature, G1)
        
        return lhs == rhs
    except:
        return False

# Example usage would require proper message hashing
print("Fast BLS verification function defined")