Quote from: Bram24732 on April 23, 2025, 05:52:58 AM

I suggest we stop engaging with McDouglas.
We took enough time and created enough resources for anyone with half a brain to understand why prefix theory is flawed. We’re just polluting the thread for other people at this point.

I support you on that; the debate is not productive at all.

Another test simulating mining, infinite possibilities and solutions.

Just for fun.

Shocked

Code:

import hashlib
import random
import time
from typing import List, Dict

# ==============================
# Simulation Configuration
# ==============================
TOTAL_NONCES = 100_000      # Total number of nonces simulated
BLOQUE_SIZE = 5_000         # Size of each block (sequential nonces)
SIMULATIONS = 500           # Number of simulations to run
TARGET_PREFIX = "0000"      # Full target (difficulty)
PREFIX_LENGTH = 3           # Length of the short prefix used as a signal
HEADER_LIST_SIZE = 10       # Number of headers to generate per simulation

# ===================================
# Class to store statistics, including a success flag.
# ===================================
class Statistics:
    def __init__(self, name: str, checks: int = 0, time: float = 0.0, success: bool = False):
        self.name = name
        self.checks = checks
        self.time = time
        self.success = success

# ============================================
# Blockheader Generator (simple simulation)
# ============================================
def generate_blockheader() -> bytes:
    return b''.join([
        random.getrandbits(32).to_bytes(4, 'little'),
        random.randbytes(32),
        random.randbytes(32),
        int(time.time()).to_bytes(4, 'big'),
        bytes.fromhex("1d00ffff")
    ])

# ============================================
# Double SHA-256 (Bitcoin-style calculation)
# ============================================
def double_sha256(header: bytes, nonce: int) -> str:
    nonce_bytes = nonce.to_bytes(4, 'little')
    block = header + nonce_bytes
    hash1 = hashlib.sha256(block).digest()
    return hashlib.sha256(hash1).hexdigest()

# =====================================================
# Sequential Method (original mining, sequential order)
# =====================================================
def sequential_method(header: bytes, nonces: List[int]) -> Statistics:
    stats = Statistics("Sequential")
    start = time.perf_counter()
    for nonce in nonces:
        stats.checks += 1
        h = double_sha256(header, nonce)
        if h.startswith(TARGET_PREFIX):
            stats.time = time.perf_counter() - start
            stats.success = True
            return stats
    stats.time = time.perf_counter() - start
    return stats

# =====================================================
# Prefix Method (optimized: skip remaining nonces in a block on short prefix)
# =====================================================
def prefix_method(header: bytes, nonces: List[int]) -> Statistics:
    stats = Statistics("Prefix")
    blocks = [nonces[i:i+BLOQUE_SIZE] for i in range(0, len(nonces), BLOQUE_SIZE)]
    random.shuffle(blocks)
    short_prefix = TARGET_PREFIX[:PREFIX_LENGTH]

    start = time.perf_counter()
    for block in blocks:
        for nonce in block:
            stats.checks += 1
            h = double_sha256(header, nonce)
            if h.startswith(TARGET_PREFIX):
                stats.time = time.perf_counter() - start
                stats.success = True
                return stats
            if h.startswith(short_prefix):
                break
    stats.time = time.perf_counter() - start
    return stats

# =====================================
# Run a simulation using a common list of headers.
# =====================================
def run_simulation_with_header_list() -> Dict[str, Statistics]:
    header_list = [generate_blockheader() for _ in range(HEADER_LIST_SIZE)]
    nonces = list(range(TOTAL_NONCES))

    seq_total_checks, seq_total_time, seq_success = 0, 0.0, False
    for header in header_list:
        stats = sequential_method(header, nonces)
        seq_total_checks += stats.checks
        seq_total_time += stats.time
        if stats.success:
            seq_success = True
            break

    pre_total_checks, pre_total_time, pre_success = 0, 0.0, False
    for header in header_list:
        stats = prefix_method(header, nonces)
        pre_total_checks += stats.checks
        pre_total_time += stats.time
        if stats.success:
            pre_success = True
            break

    return {
        "sequential": Statistics("Sequential", seq_total_checks, seq_total_time, seq_success),
        "prefix": Statistics("Prefix", pre_total_checks, pre_total_time, pre_success)
    }

# =====================================
# Main function: runs all simulations and prints results.
# =====================================
def main():
    print(f"""
=== Configuration ===
Total Nonces: {TOTAL_NONCES:,}
Block size: {BLOQUE_SIZE:,}
Complete Target: "{TARGET_PREFIX}"
Short Prefix: "{TARGET_PREFIX[:PREFIX_LENGTH]}"
Simulations: {SIMULATIONS}
Header List Size: {HEADER_LIST_SIZE}
""")
    
    wins = {"sequential": 0, "prefix": 0}
    total_checks = {"sequential": 0, "prefix": 0}
    total_time = {"sequential": 0.0, "prefix": 0.0}
    
    for i in range(SIMULATIONS):
        result = run_simulation_with_header_list()
        seq_stats = result["sequential"]
        pre_stats = result["prefix"]

        total_checks["sequential"] += seq_stats.checks
        total_checks["prefix"] += pre_stats.checks
        total_time["sequential"] += seq_stats.time
        total_time["prefix"] += pre_stats.time

        winner = "None"
        if seq_stats.success and not pre_stats.success:
            wins["sequential"] += 1
            winner = "Sequential"
        elif pre_stats.success and not seq_stats.success:
            wins["prefix"] += 1
            winner = "Prefix"
        elif seq_stats.success and pre_stats.success:
            if seq_stats.checks < pre_stats.checks:
                wins["sequential"] += 1
                winner = "Sequential"
            elif pre_stats.checks < seq_stats.checks:
                wins["prefix"] += 1
                winner = "Prefix"
            else:
                winner = "Tie"

        print(f"\nSimulation {i+1}:")
        print(f"  Sequential: Checks = {seq_stats.checks} | Time = {seq_stats.time:.4f}s | Success = {seq_stats.success}")
        print(f"  Prefix:     Checks = {pre_stats.checks} | Time = {pre_stats.time:.4f}s | Success = {pre_stats.success}")
        print(f"  Winner: {winner}")
    
    print("\n=== Final Results ===")
    print(f"Sequential Wins: {wins['sequential']}/{SIMULATIONS}")
    print(f"Prefix Wins:     {wins['prefix']}/{SIMULATIONS}")
    
    print("\nAverage Metrics:")
    for method in ["sequential", "prefix"]:
        avg_checks = total_checks[method] / max(wins[method], 1)
        avg_time = total_time[method] / max(wins[method], 1)
        print(f"\nMethod {method.capitalize()}:")
        print(f"  Average Checks: {avg_checks:,.0f}")
        print(f"  Average Time: {avg_time:.4f}s")

if __name__ == "__main__":
    main()

test #1

Code:

=== Final Results ===
Sequential Wins: 211/500
Prefix Wins:     287/500

Average Metrics:

Method Sequential:
  Average Checks: 149,921
  Average Time: 1.3175s

Method Prefix:
  Average Checks: 109,233
  Average Time: 0.9764s

test #2

Code:

=== Final Results ===
Sequential Wins: 209/500
Prefix Wins:     290/500

Average Metrics:

Method Sequential:
  Average Checks: 161,961
  Average Time: 1.3663s

Method Prefix:
  Average Checks: 114,693
  Average Time: 0.9794s