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Python中的逻辑统一

项目描述

逻辑统一

Build Status Coverage Status PyPI

逻辑统一 在Python中,可通过分派扩展。

安装

使用 pip

pip install logical-unification

从源安装

git clone git@github.com:pythological/unification.git
cd unification
pip install -r requirements.txt

可以使用提供的 Makefile 运行测试

make check

示例

unification 通过函数 unify 内置支持大多数Python数据类型的统一

>>> from unification import *
>>> unify(1, 1)
{}
>>> unify(1, 2)
False
>>> x = var()
>>> unify((1, x), (1, 2))
{~x: 2}
>>> unify((x, x), (1, 2))
False

包含逻辑变量的可统一对象也可以使用 reify 重新实现

>>> reify((1, x), {x: 2})
(1, 2)

以及大多数Python数据结构

>>> unify({"a": 1, "b": 2}, {"a": x, "b": 2})
{~x: 1}
>>> unify({"a": 1, "b": 2}, {"a": x, "b": 2, "c": 3})
False
>>> from collections import namedtuples
>>> ntuple = namedtuple("ntuple", ("a", "b"))
>>> unify(ntuple(1, 2), ntuple(x, 2))
{~x: 1}

可以通过 unifiable 装饰器将自定义类制作成“可统一”的

@unifiable
class Account(object):
    def __init__(self, id, name, balance):
        self.id = id
        self.name = name
        self.balance = balance

>>> data = [Account(1, 'Alice', 100),
            Account(2, 'Bob', 0),
            Account(2, 'Charlie', 0),
            Account(2, 'Denis', 400),
            Account(2, 'Edith', 500)]
>>> id, name, balance = var('id'), var('name'), var('balance')
>>> [unify(Account(id, name, balance), acct) for acct in data]
[{~name: 'Alice', ~balance: 100, ~id: 1},
{~name: 'Bob', ~balance: 0, ~id: 2},
{~name: 'Charlie', ~balance: 0, ~id: 2},
{~name: 'Denis', ~balance: 400, ~id: 2},
{~name: 'Edith', ~balance: 500, ~id: 2}]
>>> [unify(Account(id, name, 0), acct) for acct in data]
[False,
{~name: 'Bob', ~id: 2},
{~name: 'Charlie', ~id: 2},
False,
False]

unification 也支持通过模式匹配进行函数分派

>> from unification.match import *
>>> n = var('n')

@match(0)
def fib(n):
    return 0


@match(1)
def fib(n):
    return 1


@match(n)
def fib(n):
    return fib(n - 1) + fib(n - 2)

>>> map(fib, [0, 1, 2, 3, 4, 5, 6, 7, 8, 0])
[0, 1, 1, 2, 3, 5, 8, 13, 21, 34]

模式匹配可以相当复杂

>> name, amount = var('name'), var('amount')

@match({'status': 200, 'data': {'name': name, 'credit': amount}})
def respond(name, amount):
    balance[name] +=  amount


@match({'status': 200, 'data': {'name': name, 'debit': amount}})
def respond(name, amount):
    balance[name] -= amount


@match({'status': 404})
def respond():
    print("Bad Request")

请参阅示例目录中的完整示例。

性能和可靠性

unification 的当前设计允许对嵌套结构进行统一和重新实现,否则会超出Python堆栈递归限制。它使用基于生成器的结构来“流”统一和重新实现。

以下是一些栈与流基准测试,展示了基于流的实现方式在统一和实例化包含整数的深度嵌套列表方面相对于基于栈的实现方式的扩展能力。这些基准测试是从tests/test_benchmarks.py中的测试生成的,使用CPython 3.7.3。

栈与流基准测试

-------------------------------------------------------------------------------- benchmark 'reify_chain size=10': 2 tests -------------------------------------------------------------------------------
Name (time in us)                   Min                 Max               Mean            StdDev             Median               IQR                Outliers  OPS (Kops/s)            Rounds  Iterations
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
test_reify_chain_stack[10]      41.0790 (1.0)      545.1940 (3.20)     52.9087 (1.07)     9.7964 (1.04)     50.8650 (1.08)     6.4301 (8.37)      11815;10849       18.9005 (0.93)     260164           1
test_reify_chain_stream[10]     42.4410 (1.03)     170.5540 (1.0)      49.3080 (1.0)      9.3993 (1.0)      47.2400 (1.0)      0.7680 (1.0)      14962;102731       20.2807 (1.0)      278113           1
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

------------------------------------------ benchmark 'reify_chain size=1000': 1 tests -----------------------------------------
Name (time in ms)                          Min      Max     Mean  StdDev  Median     IQR  Outliers      OPS  Rounds  Iterations
-------------------------------------------------------------------------------------------------------------------------------
test_reify_chain_stream_large[1000]     7.7722  28.2579  10.0723  2.5087  9.4899  0.3106    70;155  99.2820    1528           1
-------------------------------------------------------------------------------------------------------------------------------

------------------------------------------------------------------------- benchmark 'reify_chain size=300': 2 tests --------------------------------------------------------------------------
Name (time in ms)                   Min                Max              Mean            StdDev            Median               IQR            Outliers       OPS            Rounds  Iterations
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
test_reify_chain_stack[300]      1.5183 (1.0)      22.1821 (1.19)     1.9826 (1.0)      1.5511 (1.16)     1.7410 (1.0)      0.0801 (1.0)       144;684  504.3878 (1.0)        7201           1
test_reify_chain_stream[300]     1.7059 (1.12)     18.6020 (1.0)      2.1237 (1.07)     1.3389 (1.0)      1.9260 (1.11)     0.1020 (1.27)      118;585  470.8745 (0.93)       6416           1
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

--------------------------------------------------------------------------------- benchmark 'reify_chain size=35': 2 tests --------------------------------------------------------------------------------
Name (time in us)                    Min                 Max                Mean             StdDev              Median                IQR             Outliers  OPS (Kops/s)            Rounds  Iterations
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
test_reify_chain_stream[35]     129.2780 (1.0)      868.1510 (1.02)     190.0433 (1.11)     36.2784 (1.41)     179.5690 (1.08)     21.5360 (2.30)     1535;1455        5.2620 (0.90)      26072           1
test_reify_chain_stack[35]      150.7850 (1.17)     853.7920 (1.0)      170.5166 (1.0)      25.7944 (1.0)      165.8500 (1.0)       9.3530 (1.0)      3724;5480        5.8645 (1.0)       81286           1
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

------------------------------------------- benchmark 'reify_chain size=5000': 1 tests ------------------------------------------
Name (time in ms)                           Min      Max     Mean  StdDev   Median     IQR  Outliers      OPS  Rounds  Iterations
---------------------------------------------------------------------------------------------------------------------------------
test_reify_chain_stream_large[5000]     46.9073  86.9737  52.9724  6.6919  49.6787  3.9609     68;68  18.8778     292           1
---------------------------------------------------------------------------------------------------------------------------------

------------------------------------------------------------------------------- benchmark 'unify_chain size=10': 2 tests -------------------------------------------------------------------------------
Name (time in us)                   Min                 Max                Mean             StdDev              Median               IQR            Outliers  OPS (Kops/s)            Rounds  Iterations
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
test_unify_chain_stream[10]     77.6280 (1.0)      307.9130 (1.0)       86.7625 (1.0)      17.5355 (1.20)      82.7525 (1.0)      1.7290 (1.0)      809;1736       11.5257 (1.0)       15524           1
test_unify_chain_stack[10]      92.9890 (1.20)     309.8770 (1.01)     104.2017 (1.20)     14.6694 (1.0)      101.0160 (1.22)     4.2368 (2.45)    3657;6651        9.5968 (0.83)      73379           1
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

------------------------------------------- benchmark 'unify_chain size=1000': 1 tests ------------------------------------------
Name (time in ms)                           Min      Max     Mean  StdDev   Median     IQR  Outliers      OPS  Rounds  Iterations
---------------------------------------------------------------------------------------------------------------------------------
test_unify_chain_stream_large[1000]     27.3518  65.5924  31.1374  4.2563  29.5148  3.5286     38;35  32.1158     496           1
---------------------------------------------------------------------------------------------------------------------------------

------------------------------------------------------------------------- benchmark 'unify_chain size=300': 2 tests --------------------------------------------------------------------------
Name (time in ms)                   Min                Max              Mean            StdDev            Median               IQR            Outliers       OPS            Rounds  Iterations
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
test_unify_chain_stream[300]     3.6957 (1.0)      13.1876 (1.0)      4.4439 (1.0)      1.0719 (1.42)     4.2080 (1.0)      0.2410 (1.67)        51;95  225.0298 (1.0)        1114           1
test_unify_chain_stack[300]      4.2952 (1.16)     13.4294 (1.02)     4.7732 (1.07)     0.7555 (1.0)      4.6623 (1.11)     0.1446 (1.0)        36;136  209.5024 (0.93)       2911           1
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

--------------------------------------------------------------------------------- benchmark 'unify_chain size=35': 2 tests ---------------------------------------------------------------------------------
Name (time in us)                    Min                   Max                Mean             StdDev              Median                IQR            Outliers  OPS (Kops/s)            Rounds  Iterations
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
test_unify_chain_stream[35]     285.6880 (1.0)        934.9690 (1.0)      324.5402 (1.0)      40.8338 (1.0)      319.8520 (1.0)      20.4375 (1.0)      962;1159        3.0813 (1.0)       24331           1
test_unify_chain_stack[35]      345.2770 (1.21)     1,088.3650 (1.16)     407.9067 (1.26)     52.2263 (1.28)     396.6640 (1.24)     20.6560 (1.01)    2054;3027        2.4515 (0.80)      37594           1
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

--------------------------------------------- benchmark 'unify_chain size=5000': 1 tests ---------------------------------------------
Name (time in ms)                            Min       Max      Mean   StdDev    Median      IQR  Outliers     OPS  Rounds  Iterations
--------------------------------------------------------------------------------------------------------------------------------------
test_unify_chain_stream_large[5000]     555.2733  754.9897  605.4949  50.6124  591.1251  61.4030       2;2  1.6515      26           1
--------------------------------------------------------------------------------------------------------------------------------------

Legend:
  Outliers: 1 Standard Deviation from Mean; 1.5 IQR (InterQuartile Range) from 1st Quartile and 3rd Quartile.
  OPS: Operations Per Second, computed as 1 / Mean

关于

本项目是unification项目的分支。

开发

安装开发依赖

$ pip install -r requirements.txt

设置pre-commit钩子

$ pre-commit install --install-hooks

项目详情


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logical-unification-0.4.6.tar.gz (31.7 kB 查看哈希值)

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