{"id":4911,"date":"2022-08-25T02:38:43","date_gmt":"2022-08-24T21:08:43","guid":{"rendered":"https:\/\/jassweb.com\/solved\/solved-how-to-plot-a-math-function-from-string\/"},"modified":"2022-08-25T02:38:43","modified_gmt":"2022-08-24T21:08:43","slug":"solved-how-to-plot-a-math-function-from-string","status":"publish","type":"post","link":"https:\/\/jassweb.com\/solved\/solved-how-to-plot-a-math-function-from-string\/","title":{"rendered":"[Solved] How to plot a math function from string?"},"content":{"rendered":"<p> [ad_1]<br \/>\n<\/p>\n<div id=\"answer-32727593\" class=\"answer js-answer accepted-answer js-accepted-answer\" data-answerid=\"32727593\" data-parentid=\"32726992\" data-score=\"8\" data-position-on-page=\"1\" data-highest-scored=\"1\" data-question-has-accepted-highest-score=\"1\" itemprop=\"acceptedAnswer\" itemscope itemtype=\"https:\/\/schema.org\/Answer\">\n<div class=\"post-layout\">\n<div class=\"votecell post-layout--left\"><\/div>\n<div class=\"answercell post-layout--right\">\n<div class=\"s-prose js-post-body\" itemprop=\"text\">\n<p>You can turn a string into code by using pythons <code>eval<\/code> function, <strong>but this is dangerous and generally considered bad style<\/strong>, See this: https:\/\/stackoverflow.com\/a\/661128\/3838691.<br \/>\nIf user can input the string, they could input something like<br \/>\n<code>import subprocess; subprocess.check_call(['rm', '-rf', '*'], shell=True)<\/code>.<\/p>\n<p>So be sure that you build in reasonable security into this.<\/p>\n<p>You can define a function that takes a string and returns a function.<br \/>\nWe need to do a little preprocessing to allow the user to input formulas more like he is used to (^ etc.):<\/p>\n<h2>Edit: Second version \u2013 white list instead of blacklist<\/h2>\n<p>It seems better to define allowed and supported words than blacklisting some:<\/p>\n<pre><code>import re\n\nreplacements = {\n    'sin' : 'np.sin',\n    'cos' : 'np.cos',\n    'exp': 'np.exp',\n    'sqrt': 'np.sqrt',\n    '^': '**',\n}\n\nallowed_words = [\n    'x',\n    'sin',\n    'cos',\n    'sqrt',\n    'exp',\n]\n\ndef string2func(string):\n    ''' evaluates the string and returns a function of x '''\n    # find all words and check if all are allowed:\n    for word in re.findall('[a-zA-Z_]+', string):\n        if word not in allowed_words:\n            raise ValueError(\n                '\"{}\" is forbidden to use in math expression'.format(word)\n            )\n\n    for old, new in replacements.items():\n        string = string.replace(old, new)\n\n    def func(x):\n        return eval(string)\n\n    return func\n\n\nif __name__ == '__main__':\n\n    func = string2func(input('enter function: f(x) = '))\n    a = float(input('enter lower limit: '))\n    b = float(input('enter upper limit: '))\n    x = np.linspace(a, b, 250)\n\n    plt.plot(x, func(x))\n    plt.xlim(a, b)\n    plt.show()\n<\/code><\/pre>\n<p>Result:<\/p>\n<pre><code>$ python test.py\nenter function: f(x) = x^2\nenter lower limit: 0\nenter upper limit: 2\n<\/code><\/pre>\n<p><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/jassweb.com\/solved\/wp-content\/uploads\/2022\/08\/Solved-How-to-plot-a-math-function-from-string.png\"><img decoding=\"async\" src=\"https:\/\/jassweb.com\/solved\/wp-content\/uploads\/2022\/08\/Solved-How-to-plot-a-math-function-from-string.png\" alt=\"enter image description here\"><\/a><\/p>\n<p>And for a malicious user:<\/p>\n<pre><code>enter function: f(x) = import subprocess; subprocess.check_call(['rm', '-rf', '*'], shell=True)\nTraceback (most recent call last):\n  File \"test.py\", line 35, in &lt;module&gt;\n    func = string2func(input('enter function: f(x) = '))\n  File \"test.py\", line 22, in string2func\n    '\"{}\" is forbidden to use in math expression'.format(word)\nValueError: \"import\" is forbidden to use in math expression\n<\/code><\/pre>\n<h2>Edit: First version \u2013 blacklist hazardous words:<\/h2>\n<pre><code>import numpy as np\nimport matplotlib.pyplot as plt\n\n# there should be a better way using regex\nreplacements = {\n    'sin' : 'np.sin',\n    'cos' : 'np.cos',\n    'exp': 'np.exp',\n    '^': '**',\n}\n\n# think of more security hazards here\nforbidden_words = [\n    'import',\n    'shutil',\n    'sys',\n    'subprocess',\n]\n\ndef string2func(string):\n    ''' evaluates the string and returns a function of x '''\n    for word in forbidden_words:\n        if word in string:\n            raise ValueError(\n                '\"{}\" is forbidden to use in math expression'.format(word)\n            )\n\n    for old, new in replacements.items():\n        string = string.replace(old, new)\n\n    def func(x):\n        return eval(string)\n\n    return func\n<\/code><\/pre>\n<\/p><\/div>\n<div class=\"mt24\"><\/div>\n<\/div>\n<p>            <span class=\"d-none\" itemprop=\"commentCount\"><\/span> <\/p><\/div>\n<\/div>\n<p>[ad_2]<\/p>\n<p>solved How to plot a math function from string? <\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ad_1] You can turn a string into code by using pythons eval function, but this is dangerous and generally considered bad style, See this: https:\/\/stackoverflow.com\/a\/661128\/3838691. If user can input the string, they could input something like import subprocess; subprocess.check_call([&#8216;rm&#8217;, &#8216;-rf&#8217;, &#8216;*&#8217;], shell=True). So be sure that you build in reasonable security into this. You can &#8230; <a title=\"[Solved] How to plot a math function from string?\" class=\"read-more\" href=\"https:\/\/jassweb.com\/solved\/solved-how-to-plot-a-math-function-from-string\/\" aria-label=\"More on [Solved] How to plot a math function from string?\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[320],"tags":[582,349],"class_list":["post-4911","post","type-post","status-publish","format-standard","hentry","category-solved","tag-matplotlib","tag-python"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>[Solved] How to plot a math function from string? - JassWeb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jassweb.com\/solved\/solved-how-to-plot-a-math-function-from-string\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[Solved] How to plot a math function from string? - JassWeb\" \/>\n<meta property=\"og:description\" content=\"[ad_1] You can turn a string into code by using pythons eval function, but this is dangerous and generally considered bad style, See this: https:\/\/stackoverflow.com\/a\/661128\/3838691. If user can input the string, they could input something like import subprocess; subprocess.check_call([&#039;rm&#039;, &#039;-rf&#039;, &#039;*&#039;], shell=True). So be sure that you build in reasonable security into this. You can ... 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