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Academy"},"license":"MIT","homepage":"https://github.com/Khan/perseus#readme","keywords":["parsing","equation","expression","algebra","symbolic"],"repository":{"url":"git+https://github.com/Khan/perseus.git","type":"git","directory":"packages/kas"},"description":"A lightweight JavaScript CAS for comparing expressions and equations.","maintainers":[{"name":"khanacademy","email":"opensource+npm@khanacademy.org"}],"readme":"# @khanacademy/kas\n\nA lightweight JavaScript CAS (Computer Algebra System) for comparing expressions and equations.\nIt is used throughout [Khan Academy](https://khanacademy.org)'s interactive exercises.\n\n## What can it do?\n\nIt can parse plain text math, LaTeX, or a mix of both:\n\n```js\nvar expr = KAS.parse(\"3x \\\\frac{42}{42} sin^2y\").expr;\nexpr.print();\n// \"3*x*42/42*sin(y)^(2)\"\n```\n\nIt can evaluate expressions:\n\n```js\nvar expr = KAS.parse(\"(x^2+y^2)^.5\").expr;\nexpr.eval({x: 3, y: 4});\n// 5\n```\n\nIt can compare expressions and equations:\n\n```js\nvar expr1 = KAS.parse(\"(1-x)(-1-6x)\").expr;\nvar expr2 = KAS.parse(\"(6x+1)(x-1)\").expr;\nKAS.compare(expr1, expr2).equal;\n// true\n\nvar eq1 = KAS.parse(\"2w+50/w=25\").expr;\nvar eq2 = KAS.parse(\"w(12.5-w)=25\").expr;\nKAS.compare(eq1, eq2).equal;\n// true\n```\n\nIt can perform basic transforms that always simplify an expression:\n\n```js\nvar expr = KAS.parse(\"1+1+x+x+x+y\").expr;\nexpr.collect().print();\n// \"2+3*x+y\"\n\nvar expr = KAS.parse(\"b^(2*y*log_b x)\").expr;\nexpr.collect().print();\n// \"x^(2*y)\"\n```\n\nIt can perform non-simplifying transforms on an expression:\n\n```js\nvar expr = KAS.parse(\"ab(c+d)e^f\").expr;\nexpr.print();\n// \"a*b*(c+d)*e^(f)\"\nexpr.expand().print();\n// \"a*b*e^(f)*c+a*b*e^(f)*d\"\nexpr.expand().factor().print();\n// \"a*b*e^(f)*(c+d)\"\n```\n\nIt can combine the above abilities to perform powerful simplification:\n\n```js\nvar expr = KAS.parse(\"((nx^5)^5)/(n^-2x^2)^-3\").expr;\nexpr.print();\n// \"(n*x^(5))^(5)*(n^(-2)*x^(2))^(-1*-3)\"\nexpr.simplify().print();\n// \"n^(-1)*x^(31)\"\n\nvar expr = KAS.parse(\"(15np-25mp)/(15p^2-5p)+(20mp+10p^2)/(15p^2-5p)\").expr;\nexpr.print();\n// \"(15*n*p+-25*m*p)*(15*p^(2)+-5*p)^(-1)+(20*m*p+10*p^(2))*(15*p^(2)+-5*p)^(-1)\"\nexpr.simplify().print();\n// \"(-1+3*p)^(-1)*(3*n+-1*m+2*p)\"\n```\n\n## How to build the library\n    pnpm install\n    pnpm build\n\n## How to build the parser\nFirst, make any changes in `src/parser-generator.js`\n\n    pnpm install\n    pnpm build:parser\n\n## License\n[MIT License](http://opensource.org/licenses/MIT)\n","readmeFilename":"README.md"}