mirror of
https://github.com/dashpay/dash.git
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6e7b402fe9
fac395e5eb2cd3210ba6345f777a586a9bec84e3 ci: Bump ci/lint/Dockerfile (MarcoFalke) fa6eb6516727a8675dc6e46634d8343e282528ab test: Use python3.8 pow() (MarcoFalke) 88881cf7ac029aea660c2413ca8e2a5136fcd41b Bump python minimum version to 3.8 (MarcoFalke) Pull request description: There is no pressing reason to drop support for 3.7, however there are several maintenance issues: * There is no supported operating system that ships 3.7 by default. (debian:buster is EOL and unmaintained to the extent that it doesn't run in the CI environment. See https://github.com/bitcoin/bitcoin/pull/27340#issuecomment-1484988445) * Compiling python 3.7 from source is also unsupported on at least macos, according to https://github.com/bitcoin/bitcoin/pull/24017#issuecomment-1107820790 * Recent versions of lief require 3.8, see https://github.com/bitcoin/bitcoin/pull/27507#issuecomment-1517561645 Fix all maintenance issues by bumping the minimum. ACKs for top commit: RandyMcMillan: ACK fac395e fjahr: ACK fac395e5eb2cd3210ba6345f777a586a9bec84e3 fanquake: ACK fac395e5eb2cd3210ba6345f777a586a9bec84e3 Tree-SHA512: c198decdbbe29d186d73ea3f6549d8a38479383495d14a965a2f9211ce39637b43f13a4c2a5d3bf56e2d468be4bbe49b4ee8e8e19ec69936ff43ddf2b714c712
630 lines
23 KiB
Python
630 lines
23 KiB
Python
#!/usr/bin/env python3
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# Copyright (c) 2014-2020 The Bitcoin Core developers
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# Copyright (c) 2014-2022 The Dash Core developers
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# Distributed under the MIT software license, see the accompanying
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# file COPYING or http://www.opensource.org/licenses/mit-license.php.
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"""Helpful routines for regression testing."""
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from base64 import b64encode
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from binascii import unhexlify
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from decimal import Decimal, ROUND_DOWN
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from subprocess import CalledProcessError
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import inspect
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import json
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import logging
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import os
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import random
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import shutil
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import re
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import time
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import unittest
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from . import coverage
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from .authproxy import AuthServiceProxy, JSONRPCException
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from io import BytesIO
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logger = logging.getLogger("TestFramework.utils")
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# Assert functions
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##################
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def assert_approx(v, vexp, vspan=0.00001):
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"""Assert that `v` is within `vspan` of `vexp`"""
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if v < vexp - vspan:
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raise AssertionError("%s < [%s..%s]" % (str(v), str(vexp - vspan), str(vexp + vspan)))
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if v > vexp + vspan:
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raise AssertionError("%s > [%s..%s]" % (str(v), str(vexp - vspan), str(vexp + vspan)))
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def assert_fee_amount(fee, tx_size, fee_per_kB):
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"""Assert the fee was in range"""
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target_fee = round(tx_size * fee_per_kB / 1000, 8)
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if fee < target_fee:
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raise AssertionError("Fee of %s DASH too low! (Should be %s DASH)" % (str(fee), str(target_fee)))
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# allow the wallet's estimation to be at most 2 bytes off
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if fee > (tx_size + 2) * fee_per_kB / 1000:
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raise AssertionError("Fee of %s DASH too high! (Should be %s DASH)" % (str(fee), str(target_fee)))
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def assert_equal(thing1, thing2, *args):
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if thing1 != thing2 or any(thing1 != arg for arg in args):
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raise AssertionError("not(%s)" % " == ".join(str(arg) for arg in (thing1, thing2) + args))
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def assert_greater_than(thing1, thing2):
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if thing1 <= thing2:
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raise AssertionError("%s <= %s" % (str(thing1), str(thing2)))
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def assert_greater_than_or_equal(thing1, thing2):
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if thing1 < thing2:
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raise AssertionError("%s < %s" % (str(thing1), str(thing2)))
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def assert_raises(exc, fun, *args, **kwds):
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assert_raises_message(exc, None, fun, *args, **kwds)
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def assert_raises_message(exc, message, fun, *args, **kwds):
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try:
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fun(*args, **kwds)
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except JSONRPCException:
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raise AssertionError("Use assert_raises_rpc_error() to test RPC failures")
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except exc as e:
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if message is not None and message not in e.error['message']:
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raise AssertionError(
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"Expected substring not found in error message:\nsubstring: '{}'\nerror message: '{}'.".format(
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message, e.error['message']))
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except Exception as e:
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raise AssertionError("Unexpected exception raised: " + type(e).__name__)
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else:
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raise AssertionError("No exception raised")
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def assert_raises_process_error(returncode, output, fun, *args, **kwds):
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"""Execute a process and asserts the process return code and output.
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Calls function `fun` with arguments `args` and `kwds`. Catches a CalledProcessError
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and verifies that the return code and output are as expected. Throws AssertionError if
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no CalledProcessError was raised or if the return code and output are not as expected.
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Args:
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returncode (int): the process return code.
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output (string): [a substring of] the process output.
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fun (function): the function to call. This should execute a process.
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args*: positional arguments for the function.
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kwds**: named arguments for the function.
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"""
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try:
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fun(*args, **kwds)
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except CalledProcessError as e:
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if returncode != e.returncode:
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raise AssertionError("Unexpected returncode %i" % e.returncode)
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if output not in e.output:
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raise AssertionError("Expected substring not found:" + e.output)
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else:
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raise AssertionError("No exception raised")
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def assert_raises_rpc_error(code, message, fun, *args, **kwds):
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"""Run an RPC and verify that a specific JSONRPC exception code and message is raised.
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Calls function `fun` with arguments `args` and `kwds`. Catches a JSONRPCException
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and verifies that the error code and message are as expected. Throws AssertionError if
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no JSONRPCException was raised or if the error code/message are not as expected.
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Args:
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code (int), optional: the error code returned by the RPC call (defined
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in src/rpc/protocol.h). Set to None if checking the error code is not required.
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message (string), optional: [a substring of] the error string returned by the
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RPC call. Set to None if checking the error string is not required.
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fun (function): the function to call. This should be the name of an RPC.
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args*: positional arguments for the function.
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kwds**: named arguments for the function.
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"""
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assert try_rpc(code, message, fun, *args, **kwds), "No exception raised"
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def try_rpc(code, message, fun, *args, **kwds):
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"""Tries to run an rpc command.
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Test against error code and message if the rpc fails.
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Returns whether a JSONRPCException was raised."""
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try:
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fun(*args, **kwds)
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except JSONRPCException as e:
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# JSONRPCException was thrown as expected. Check the code and message values are correct.
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if (code is not None) and (code != e.error["code"]):
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raise AssertionError("Unexpected JSONRPC error code %i" % e.error["code"])
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if (message is not None) and (message not in e.error['message']):
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raise AssertionError(
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"Expected substring not found in error message:\nsubstring: '{}'\nerror message: '{}'.".format(
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message, e.error['message']))
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return True
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except Exception as e:
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raise AssertionError("Unexpected exception raised: " + type(e).__name__)
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else:
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return False
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def assert_is_hex_string(string):
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try:
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int(string, 16)
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except Exception as e:
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raise AssertionError(
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"Couldn't interpret %r as hexadecimal; raised: %s" % (string, e))
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def assert_is_hash_string(string, length=64):
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if not isinstance(string, str):
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raise AssertionError("Expected a string, got type %r" % type(string))
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elif length and len(string) != length:
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raise AssertionError(
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"String of length %d expected; got %d" % (length, len(string)))
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elif not re.match('[abcdef0-9]+$', string):
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raise AssertionError(
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"String %r contains invalid characters for a hash." % string)
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def assert_array_result(object_array, to_match, expected, should_not_find=False):
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"""
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Pass in array of JSON objects, a dictionary with key/value pairs
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to match against, and another dictionary with expected key/value
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pairs.
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If the should_not_find flag is true, to_match should not be found
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in object_array
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"""
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if should_not_find:
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assert_equal(expected, {})
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num_matched = 0
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for item in object_array:
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all_match = True
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for key, value in to_match.items():
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if item[key] != value:
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all_match = False
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if not all_match:
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continue
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elif should_not_find:
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num_matched = num_matched + 1
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for key, value in expected.items():
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if item[key] != value:
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raise AssertionError("%s : expected %s=%s" % (str(item), str(key), str(value)))
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num_matched = num_matched + 1
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if num_matched == 0 and not should_not_find:
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raise AssertionError("No objects matched %s" % (str(to_match)))
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if num_matched > 0 and should_not_find:
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raise AssertionError("Objects were found %s" % (str(to_match)))
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# Utility functions
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###################
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def check_json_precision():
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"""Make sure json library being used does not lose precision converting BTC values"""
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n = Decimal("20000000.00000003")
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satoshis = int(json.loads(json.dumps(float(n))) * 1.0e8)
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if satoshis != 2000000000000003:
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raise RuntimeError("JSON encode/decode loses precision")
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def EncodeDecimal(o):
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if isinstance(o, Decimal):
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return str(o)
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raise TypeError(repr(o) + " is not JSON serializable")
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def count_bytes(hex_string):
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return len(bytearray.fromhex(hex_string))
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def hex_str_to_bytes(hex_str):
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return unhexlify(hex_str.encode('ascii'))
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def str_to_b64str(string):
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return b64encode(string.encode('utf-8')).decode('ascii')
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def satoshi_round(amount):
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return Decimal(amount).quantize(Decimal('0.00000001'), rounding=ROUND_DOWN)
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def wait_until(predicate, *, attempts=float('inf'), timeout=float('inf'), sleep=0.5, timeout_factor=1.0, lock=None, do_assert=True, allow_exception=False):
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if attempts == float('inf') and timeout == float('inf'):
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timeout = 60
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timeout = timeout * timeout_factor
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attempt = 0
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time_end = time.time() + timeout
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while attempt < attempts and time.time() < time_end:
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try:
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if lock:
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with lock:
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if predicate():
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return True
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else:
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if predicate():
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return True
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except:
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if not allow_exception:
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raise
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attempt += 1
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time.sleep(sleep)
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if do_assert:
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# Print the cause of the timeout
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predicate_source = "''''\n" + inspect.getsource(predicate) + "'''"
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logger.error("wait_until() failed. Predicate: {}".format(predicate_source))
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if attempt >= attempts:
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raise AssertionError("Predicate {} not true after {} attempts".format(predicate_source, attempts))
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elif time.time() >= time_end:
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raise AssertionError("Predicate {} not true after {} seconds".format(predicate_source, timeout))
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raise RuntimeError('Unreachable')
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else:
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return False
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# RPC/P2P connection constants and functions
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############################################
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# The maximum number of nodes a single test can spawn
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MAX_NODES = 20
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# Don't assign rpc or p2p ports lower than this
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PORT_MIN = int(os.getenv('TEST_RUNNER_PORT_MIN', default=11000))
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# The number of ports to "reserve" for p2p and rpc, each
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PORT_RANGE = 5000
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class PortSeed:
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# Must be initialized with a unique integer for each process
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n = None
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def get_rpc_proxy(url, node_number, *, timeout=None, coveragedir=None):
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"""
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Args:
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url (str): URL of the RPC server to call
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node_number (int): the node number (or id) that this calls to
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Kwargs:
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timeout (int): HTTP timeout in seconds
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coveragedir (str): Directory
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Returns:
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AuthServiceProxy. convenience object for making RPC calls.
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"""
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proxy_kwargs = {}
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if timeout is not None:
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proxy_kwargs['timeout'] = int(timeout)
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proxy = AuthServiceProxy(url, **proxy_kwargs)
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proxy.url = url # store URL on proxy for info
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coverage_logfile = coverage.get_filename(
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coveragedir, node_number) if coveragedir else None
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return coverage.AuthServiceProxyWrapper(proxy, coverage_logfile)
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def p2p_port(n):
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assert n <= MAX_NODES
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return PORT_MIN + n + (MAX_NODES * PortSeed.n) % (PORT_RANGE - 1 - MAX_NODES)
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def rpc_port(n):
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return PORT_MIN + PORT_RANGE + n + (MAX_NODES * PortSeed.n) % (PORT_RANGE - 1 - MAX_NODES)
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def rpc_url(datadir, i, chain, rpchost=None):
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rpc_u, rpc_p = get_auth_cookie(datadir, chain)
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host = '127.0.0.1'
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port = rpc_port(i)
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if rpchost:
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parts = rpchost.split(':')
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if len(parts) == 2:
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host, port = parts
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else:
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host = rpchost
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return "http://%s:%s@%s:%d" % (rpc_u, rpc_p, host, int(port))
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# Node functions
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################
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def initialize_datadir(dirname, n, chain):
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datadir = get_datadir_path(dirname, n)
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if not os.path.isdir(datadir):
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os.makedirs(datadir)
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# Translate chain name to config name
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if chain == 'testnet3':
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chain_name_conf_arg = 'testnet'
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chain_name_conf_section = 'test'
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chain_name_conf_arg_value = '1'
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elif chain == 'devnet':
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chain_name_conf_arg = 'devnet'
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chain_name_conf_section = 'devnet'
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chain_name_conf_arg_value = 'devnet1'
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else:
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chain_name_conf_arg = chain
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chain_name_conf_section = chain
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chain_name_conf_arg_value = '1'
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with open(os.path.join(datadir, "dash.conf"), 'w', encoding='utf8') as f:
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f.write("{}={}\n".format(chain_name_conf_arg, chain_name_conf_arg_value))
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f.write("[{}]\n".format(chain_name_conf_section))
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f.write("port=" + str(p2p_port(n)) + "\n")
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f.write("rpcport=" + str(rpc_port(n)) + "\n")
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f.write("fallbackfee=0.00001\n")
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f.write("server=1\n")
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f.write("keypool=1\n")
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f.write("discover=0\n")
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f.write("listenonion=0\n")
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f.write("printtoconsole=0\n")
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f.write("upnp=0\n")
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f.write("natpmp=0\n")
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f.write("shrinkdebugfile=0\n")
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# To improve SQLite wallet performance so that the tests don't timeout, use -unsafesqlitesync
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f.write("unsafesqlitesync=1\n")
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os.makedirs(os.path.join(datadir, 'stderr'), exist_ok=True)
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os.makedirs(os.path.join(datadir, 'stdout'), exist_ok=True)
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return datadir
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def adjust_bitcoin_conf_for_pre_16(conf_file):
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with open(conf_file,'r', encoding='utf8') as conf:
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conf_data = conf.read()
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with open(conf_file, 'w', encoding='utf8') as conf:
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conf_data_changed = conf_data.replace('[regtest]', '')
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conf.write(conf_data_changed)
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def get_datadir_path(dirname, n):
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return os.path.join(dirname, "node" + str(n))
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def append_config(datadir, options):
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with open(os.path.join(datadir, "dash.conf"), 'a', encoding='utf8') as f:
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for option in options:
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f.write(option + "\n")
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def get_auth_cookie(datadir, chain):
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user = None
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password = None
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if os.path.isfile(os.path.join(datadir, "dash.conf")):
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with open(os.path.join(datadir, "dash.conf"), 'r', encoding='utf8') as f:
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for line in f:
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if line.startswith("rpcuser="):
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assert user is None # Ensure that there is only one rpcuser line
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user = line.split("=")[1].strip("\n")
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if line.startswith("rpcpassword="):
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assert password is None # Ensure that there is only one rpcpassword line
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password = line.split("=")[1].strip("\n")
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chain = get_chain_folder(datadir, chain)
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try:
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with open(os.path.join(datadir, chain, ".cookie"), 'r', encoding="ascii") as f:
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userpass = f.read()
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split_userpass = userpass.split(':')
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user = split_userpass[0]
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password = split_userpass[1]
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except OSError:
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pass
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if user is None or password is None:
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raise ValueError("No RPC credentials")
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return user, password
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def copy_datadir(from_node, to_node, dirname, chain):
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from_datadir = os.path.join(dirname, "node"+str(from_node), chain)
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to_datadir = os.path.join(dirname, "node"+str(to_node), chain)
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dirs = ["blocks", "chainstate", "evodb", "llmq"]
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for d in dirs:
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try:
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src = os.path.join(from_datadir, d)
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dst = os.path.join(to_datadir, d)
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shutil.copytree(src, dst)
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except:
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pass
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# If a cookie file exists in the given datadir, delete it.
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def delete_cookie_file(datadir, chain):
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chain = get_chain_folder(datadir, chain)
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if os.path.isfile(os.path.join(datadir, chain, ".cookie")):
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logger.debug("Deleting leftover cookie file")
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os.remove(os.path.join(datadir, chain, ".cookie"))
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"""
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since devnets can be named we won't always know what the folders name is unless we would pass it through all functions,
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which shouldn't be needed as if we are to test multiple different devnets we would just override setup_chain and make our own configs files.
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"""
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def get_chain_folder(datadir, chain):
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# if try fails the directory doesn't exist
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try:
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for i in range(len(os.listdir(datadir))):
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if chain in os.listdir(datadir)[i]:
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chain = os.listdir(datadir)[i]
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break
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except:
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pass
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return chain
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def get_bip9_details(node, key):
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"""Return extra info about bip9 softfork"""
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return node.getblockchaininfo()['softforks'][key]['bip9']
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def softfork_active(node, key):
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"""Return whether a softfork is active."""
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return node.getblockchaininfo()['softforks'][key]['active']
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def set_node_times(nodes, t):
|
|
for node in nodes:
|
|
node.mocktime = t
|
|
node.setmocktime(t)
|
|
|
|
def force_finish_mnsync(node):
|
|
"""
|
|
Masternodes won't accept incoming connections while IsSynced is false.
|
|
Force them to switch to this state to speed things up.
|
|
"""
|
|
while True:
|
|
if node.mnsync("status")['IsSynced']:
|
|
break
|
|
node.mnsync("next")
|
|
|
|
# Transaction/Block functions
|
|
#############################
|
|
|
|
|
|
def find_output(node, txid, amount, *, blockhash=None):
|
|
"""
|
|
Return index to output of txid with value amount
|
|
Raises exception if there is none.
|
|
"""
|
|
txdata = node.getrawtransaction(txid, 1, blockhash)
|
|
for i in range(len(txdata["vout"])):
|
|
if txdata["vout"][i]["value"] == amount:
|
|
return i
|
|
raise RuntimeError("find_output txid %s : %s not found" % (txid, str(amount)))
|
|
|
|
def gather_inputs(from_node, amount_needed, confirmations_required=1):
|
|
"""
|
|
Return a random set of unspent txouts that are enough to pay amount_needed
|
|
"""
|
|
assert confirmations_required >= 0
|
|
utxo = from_node.listunspent(confirmations_required)
|
|
random.shuffle(utxo)
|
|
inputs = []
|
|
total_in = Decimal("0.00000000")
|
|
while total_in < amount_needed and len(utxo) > 0:
|
|
t = utxo.pop()
|
|
total_in += t["amount"]
|
|
inputs.append({"txid": t["txid"], "vout": t["vout"], "address": t["address"]})
|
|
if total_in < amount_needed:
|
|
raise RuntimeError("Insufficient funds: need %d, have %d" % (amount_needed, total_in))
|
|
return (total_in, inputs)
|
|
|
|
def make_change(from_node, amount_in, amount_out, fee):
|
|
"""
|
|
Create change output(s), return them
|
|
"""
|
|
outputs = {}
|
|
amount = amount_out + fee
|
|
change = amount_in - amount
|
|
if change > amount * 2:
|
|
# Create an extra change output to break up big inputs
|
|
change_address = from_node.getnewaddress()
|
|
# Split change in two, being careful of rounding:
|
|
outputs[change_address] = Decimal(change / 2).quantize(Decimal('0.00000001'), rounding=ROUND_DOWN)
|
|
change = amount_in - amount - outputs[change_address]
|
|
if change > 0:
|
|
outputs[from_node.getnewaddress()] = change
|
|
return outputs
|
|
|
|
def random_transaction(nodes, amount, min_fee, fee_increment, fee_variants):
|
|
"""
|
|
Create a random transaction.
|
|
Returns (txid, hex-encoded-transaction-data, fee)
|
|
"""
|
|
from_node = random.choice(nodes)
|
|
to_node = random.choice(nodes)
|
|
fee = min_fee + fee_increment * random.randint(0, fee_variants)
|
|
|
|
(total_in, inputs) = gather_inputs(from_node, amount + fee)
|
|
outputs = make_change(from_node, total_in, amount, fee)
|
|
outputs[to_node.getnewaddress()] = float(amount)
|
|
|
|
rawtx = from_node.createrawtransaction(inputs, outputs)
|
|
signresult = from_node.signrawtransactionwithwallet(rawtx)
|
|
txid = from_node.sendrawtransaction(signresult["hex"], 0)
|
|
|
|
return (txid, signresult["hex"], fee)
|
|
|
|
# Helper to create at least "count" utxos
|
|
# Pass in a fee that is sufficient for relay and mining new transactions.
|
|
def create_confirmed_utxos(fee, node, count):
|
|
to_generate = int(0.5 * count) + 101
|
|
while to_generate > 0:
|
|
node.generate(min(25, to_generate))
|
|
to_generate -= 25
|
|
utxos = node.listunspent()
|
|
iterations = count - len(utxos)
|
|
addr1 = node.getnewaddress()
|
|
addr2 = node.getnewaddress()
|
|
if iterations <= 0:
|
|
return utxos
|
|
for i in range(iterations):
|
|
t = utxos.pop()
|
|
inputs = []
|
|
inputs.append({"txid": t["txid"], "vout": t["vout"]})
|
|
outputs = {}
|
|
send_value = t['amount'] - fee
|
|
outputs[addr1] = satoshi_round(send_value / 2)
|
|
outputs[addr2] = satoshi_round(send_value / 2)
|
|
raw_tx = node.createrawtransaction(inputs, outputs)
|
|
signed_tx = node.signrawtransactionwithwallet(raw_tx)["hex"]
|
|
node.sendrawtransaction(signed_tx)
|
|
|
|
while (node.getmempoolinfo()['size'] > 0):
|
|
node.generate(1)
|
|
|
|
utxos = node.listunspent()
|
|
assert len(utxos) >= count
|
|
return utxos
|
|
|
|
# Create large OP_RETURN txouts that can be appended to a transaction
|
|
# to make it large (helper for constructing large transactions).
|
|
def gen_return_txouts():
|
|
# Some pre-processing to create a bunch of OP_RETURN txouts to insert into transactions we create
|
|
# So we have big transactions (and therefore can't fit very many into each block)
|
|
# create one script_pubkey
|
|
script_pubkey = "6a4d0200" # OP_RETURN OP_PUSH2 512 bytes
|
|
for i in range(512):
|
|
script_pubkey = script_pubkey + "01"
|
|
# concatenate 128 txouts of above script_pubkey which we'll insert before the txout for change
|
|
txouts = []
|
|
from .messages import CTxOut
|
|
txout = CTxOut()
|
|
txout.nValue = 0
|
|
txout.scriptPubKey = hex_str_to_bytes(script_pubkey)
|
|
for k in range(128):
|
|
txouts.append(txout)
|
|
return txouts
|
|
|
|
# Create a spend of each passed-in utxo, splicing in "txouts" to each raw
|
|
# transaction to make it large. See gen_return_txouts() above.
|
|
def create_lots_of_big_transactions(node, txouts, utxos, num, fee):
|
|
addr = node.getnewaddress()
|
|
txids = []
|
|
from .messages import CTransaction
|
|
for _ in range(num):
|
|
t = utxos.pop()
|
|
inputs = [{"txid": t["txid"], "vout": t["vout"]}]
|
|
outputs = {}
|
|
change = t['amount'] - fee
|
|
outputs[addr] = satoshi_round(change)
|
|
rawtx = node.createrawtransaction(inputs, outputs)
|
|
tx = CTransaction()
|
|
tx.deserialize(BytesIO(hex_str_to_bytes(rawtx)))
|
|
for txout in txouts:
|
|
tx.vout.append(txout)
|
|
newtx = tx.serialize().hex()
|
|
signresult = node.signrawtransactionwithwallet(newtx, None, "NONE")
|
|
txid = node.sendrawtransaction(signresult["hex"], 0)
|
|
txids.append(txid)
|
|
return txids
|
|
|
|
def mine_large_block(node, utxos=None):
|
|
# generate a 66k transaction,
|
|
# and 14 of them is close to the 1MB block limit
|
|
num = 14
|
|
txouts = gen_return_txouts()
|
|
utxos = utxos if utxos is not None else []
|
|
if len(utxos) < num:
|
|
utxos.clear()
|
|
utxos.extend(node.listunspent())
|
|
fee = 100 * node.getnetworkinfo()["relayfee"]
|
|
create_lots_of_big_transactions(node, txouts, utxos, num, fee=fee)
|
|
node.generate(1)
|
|
|
|
def find_vout_for_address(node, txid, addr):
|
|
"""
|
|
Locate the vout index of the given transaction sending to the
|
|
given address. Raises runtime error exception if not found.
|
|
"""
|
|
tx = node.getrawtransaction(txid, True)
|
|
for i in range(len(tx["vout"])):
|
|
if any([addr == a for a in tx["vout"][i]["scriptPubKey"]["addresses"]]):
|
|
return i
|
|
raise RuntimeError("Vout not found for address: txid=%s, addr=%s" % (txid, addr))
|
|
|
|
def modinv(a, n):
|
|
"""Compute the modular inverse of a modulo n using the extended Euclidean
|
|
Algorithm. See https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm#Modular_integers.
|
|
"""
|
|
return pow(a, -1, n)
|
|
|
|
class TestFrameworkUtil(unittest.TestCase):
|
|
def test_modinv(self):
|
|
test_vectors = [
|
|
[7, 11],
|
|
[11, 29],
|
|
[90, 13],
|
|
[1891, 3797],
|
|
[6003722857, 77695236973],
|
|
]
|
|
|
|
for a, n in test_vectors:
|
|
self.assertEqual(modinv(a, n), pow(a, n-2, n))
|