@[TOC](Use SageMath with PyCharm (Use PyCharm to run and debug SageMath scripts))
编辑：LLL
审稿：百新科技

SageMath

SageMath is a free open-source mathematics software system.

https://ask.sagemath.org/question/39742/make-pycharm-recognise-the-sage-python-interpreter/
https://blog.csdn.net/hardwork617s/article/details/110875291

Install SageMath on Ubuntu 16.04/18.04

sudo apt-add-repository -y ppa:aims/sagemath
sudo apt-get update
sudo apt install sagemath-upstream-binary  sagemath-upstream-binary-full
#sudo apt install python-z3
sudo apt install z3
sudo pip2 install z3-solver  #Install z3-solver for Python2

Debug/Running Sage scripts with PyCharm

1. Set environment variables

(1) Run the command sage -sh to start subshell with Sage environment variables set. Then, you can run sage scripts (**.py) by running the command python **.py.
Also, you can check the environment variables setting of SageMath with the command printenv | fgrep SAGE.
(2) Add the following environment variables set into /etc/profile

export SAGE_ROOT=/usr/lib/sagemath
export SAGE_LOCAL=/usr/lib/sagemath/local
export SINGULAR_EXECUTABLE=/usr/lib/sagemath/local/bin/Singular
#export DOT_SAGE=/home/chengzi/.sage/

For PyCharm, the variables set in /etc/profile are system ones. They can be obtained when running/debugging programs with the run menu of PyCharm, and also can be used in the terminal and console of PyCharm.
(3) Install Singular

sudo apt install singular-ui

2. Set the python interpreter in to use Sage’s python interpreter

The Sage’s python interpreter (7.5.1) locates /usr/lib/sagemath/local/bin/python2.7.
Then, we add Sage’s Python interpreter to PyCharm’s list of available interpreters. From the Welcome screen click on the little “Configure” gear and select “Settings” from the menu.
In the settings page select “Project Intepreter”–this is where you can add additional interpreters for use across projects.
Click the little gear icon in the top-right corner next to the drop-down list of available interpreters, and select “Add Local” from the menu. Then from the list of interpreter types, select “System Interpreter”.
Copy /usr/lib/sagemath/local/bin/python2.7 directly into the file browser.
If you set up the correct environment variables, PyCharm should be able to successfully execute Sage’s Python interpreter.
PyCharm now recognises the Sage python. You should be able to from sage.all import * and use Sage objects in plain Python.

Basic usage of SageMath

（1）使用sage -t .py命令运行python代码时，需要将.py文件所在目录添加到环境变量SAGE_PATH中，否则无法调用python中的module，会出现no module ***的错误。
Execute the following command in the terminal.

export SAGE_PATH=/home/chengzi/Downloads/dig-dev
echo $SAGE_PATH

（2）To run Sage scripts, you can use the command sage -python **.py.

Update functions in SageMath

DeprecationWarning: CartesianProduct is deprecated. Use cartesian_product instead

sage: cp = CartesianProduct([1,2], [3,4]);cp
doctest:...: DeprecationWarning: CartesianProduct is deprecated. Use
cartesian_product instead
See http://trac.sagemath.org/18411 for details.
The Cartesian product of ({1, 2}, {3, 4})
sage: cp.list()
[(1, 3), (1, 4), (2, 3), (2, 4)]F=[[1,2], [3,4]]
sage: cp = cartesian_product(list(F));cp

sage: F1 = ['a', 'b']
sage: F2 = [1, 2, 3, 4]
sage: c = cartesian_product([F1, F2])
sage: c
The Cartesian product of ({'a', 'b'}, {1, 2, 3, 4})
sage: c.list()[('a', 1),('a', 2),('a', 3),('a', 4),('b', 1),('b', 2),('b', 3),('b', 4)]

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Use SageMath with PyCharm/PyDev (Use PyCharm/PyDev to run and debug SageMath scripts)