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        "author": "Stefan Mack",
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        "description": "# PMXUtils\n\nTools for ProgModX\n\nNote that the package is in development and may undergo frequent updates\n\nInstall with `python -m pip install pmxutils` for windows and `python3 -m pip install pmxutils` for unix/linux\n\n# Table of content\n* [Mathtools](https://github.com/Areskiko/pmxutils/blob/master/README.md#mathtools-pmxutilsmathtools)\n  * [construct](https://github.com/Areskiko/pmxutils/blob/master/README.md#constructexpression-varx)\n  * [advConstruct](https://github.com/Areskiko/pmxutils#advconstructexpression-args-constants--)\n  * [computeList](https://github.com/Areskiko/pmxutils/blob/master/README.md#computelistsfunction-low-high-step1)\n  * [newton](https://github.com/Areskiko/pmxutils/blob/master/README.md#newtonfunction-derivative-low-high-tolerance1e-8-rounding--3-iterations--1000)\n  * [isInbetween](https://github.com/Areskiko/pmxutils/blob/master/README.md#isinbetweennumber-low-high)\n  * [rectangleIntegral](https://github.com/Areskiko/pmxutils/blob/master/README.md#rectangleintegralfunction-low-high-n)\n  * [trapezoidIntegral](https://github.com/Areskiko/pmxutils/blob/master/README.md#trapezoidintegralfunction-low-high-n)\n  * [simpsonIntegral](https://github.com/Areskiko/pmxutils/blob/master/README.md#simpsonintegralfunction-low-high-n)\n  * [euler](https://github.com/Areskiko/pmxutils/blob/master/README.md#eulerfunctionderivative-low-high-y0-n)\n  * [lemma](https://github.com/Areskiko/pmxutils/blob/master/README.md#lemmaa-b)\n* [Other](https://github.com/Areskiko/pmxutils/blob/master/README.md#other-pmxutilsother)\n  * [profile](https://github.com/Areskiko/pmxutils/blob/master/README.md#profilefunction)\n  * [loading](https://github.com/Areskiko/pmxutils/blob/master/README.md#loading)\n    * [start](https://github.com/Areskiko/pmxutils/blob/master/README.md#startflavorloading)\n    * [stop](https://github.com/Areskiko/pmxutils/blob/master/README.md#stop)\n    * [animate](https://github.com/Areskiko/pmxutils/blob/master/README.md#animate)\n\n## Mathtools (`pmxutils.mathtools`)\n\n* #### `construct(expression, var=x)`\n    >Returns a function computing the given expression\n\n    * `expression` - The mathematical expression to compute, type = string\n    * `var` - The variable used in the mathematical expression, defaults tp 'x', type = string\n\n* #### `advConstruct(expression, *args, constants = {})\n    >Returns a function computing the given expression\n\n    * `expression` - The mathematical expression to compute, type = string\n    * `args` - Any number of individual arguments naming the variables used in the expresion, type = string\n    * `constants` - A dictionary with any numerical constants in the expression, type = dict\n\n* #### `computeLists(function, low, high, step=1)`\n    >Returns a touple of two lists containing x values inbetween low and high, and the computed results for y. In the format of (x_list, y_list)\n\n    * `low` - The lower end of the function limit, type = number\n    * `high` - The upper end of the function limit, type = number\n    * `function` - The mathematical expression to use for y value computation, type = string or function from construct\n    * `step` - The step size in the x value list, defaults to '1', type = number\n\n* #### `newton(function, derivative, low, high, tolerance=1e-8, rounding = 3, iterations = 1000)`\n    >Uses Newtons way of finding the root of a function, using the function and its derivative, within the given limits.Returns None if it can't find a solution that satisfies the tolerance after the defined number of terations\n\n    * `function` - The target mathematical expression, type = string or function from construct\n    * `derivative` - The derivative of the target mathematical expression, type = string or function from construct\n    * `low` - The lower end of the are which should be checked for roots, type = number\n    * `high` - The upper end of the are which should be checked for roots, type = number\n    * `tolerance` - The tolerance for error to speed up computation, defaults to '1e-8', type = number\n    * `rounding` - Rounds the x value for the root to the specified amount of decimals, defaults to '3', type = number\n    * `iterations` - The number of tries, after which the function will end early\n\n* #### `isInbetween(number, low, high)`\n    >Returns True if number is inbetween limOne and limTwo, returns False otherwise\n\n    * `number` - The number to be checked, type = number\n    * `low` - The lower limit for which the number is checked, type = number\n    * `high` - The upper limit for which the number is checked, type = number\n\n* #### `rectangleIntegral(function, low, high, n)`\n    >Returns the numerically calculated integral of the function f inbetween a and b using n rectangles\n\n    * `function` - The function to integrate, type = string or function from construct\n    * `low` - The low end of the area to be computed, type = number\n    * `high` - The high end of the area to be computed, type = number\n    * `n` - The number of rectangles to use, type = int\n\n* #### `trapezoidIntegral(function, low, high, n)`\n    >Returns the numerically calculated integral of the function f inbetween a and b using n trapezoids\n\n    * `function` - The function to integrate, type = string or function from construct\n    * `low` - The low end of the area to be computed, type = number\n    * `high` - The high end of the area to be computed, type = number\n    * `n` - The number of trapezoids to use, type = int\n\n* #### `simpsonIntegral(function, low, high, n)`\n    >Returns the numerically calculated integral of the function inbetween low and high using n quadratic splines\n\n    * `function` - The function to integrate, type = string or function from construct\n    * `low` - The low end of the area to be computed, type = number\n    * `high` - The high end of the area to be computed, type = number\n    * `n` - The number of quadratic splines to use, type = int\n\n* #### `euler(functionDerivative, low, high, y0, n)`\n    >Returns a numpy array x, containing the x values of the function, and an array F, containing the computed values for the antiderivative function of the given function functionDerivative inbetween low and high with N steps\n\n    >Only supports functions with one variable\n\n    * `functionDerivative` - The derivative of the goal function, type = string or function from construct\n    * `low` - The low end of the function to be computed, type = number\n    * `high` - The high end of the area to be computed, type = number\n    * `y0` - The initial value of the goal function\n    * `n` - The number of computations to perform\n\n* #### `lemma(a, b)`\n    >Returns the greatest common denominator of a and b using the lemma algorithm\n\n    * `a` - The first number\n    * `b` - The second number\n\n\n## Other (`pmxutils.other`)\n\n* #### `profile(function)`\n    >Time profiler. Prints out the elapsed time during function execution\n\n    * `function` - The function to profile, type = function\n\n### `loading()`\nLoading class\n\n* #### `start(flavor=\"loading\")`\n    >Starts a loading sequence\n\n    * `flavor` - The message to be displayed during loading, defaults to 'loading', type = string\n* #### `stop()`\n    >Stops the loading sequence\n\n* #### `animate()`\n    >DO NOT USE, internal function\n\n\n",
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