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        "author": "Jean Franco G\u00f3mez",
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        "description": "# AlComplex\n\nA Complex Number library. It uses its own complex number implementation. Its main goal it's to provide a more complete API, compared to the default complex number implementation in Python.\n\nIt's as simple as:\n\n```\n>>> from AlComplex import I, AlComplex, pi\n>>> 2 + 3*I\n2.0 + 3.0i\n>>> AlComplex(2,3)\n2.0 + 3.0i\n>>> AlComplex(1)\n1.0 + 0.0i\n>>> # You can also use Polar Coordinates\n>>> AlComplex.polar(2, pi)\n0 - 2i\n``` \n\n## Installation\n\nJust run\n\n``` pip install AlComplex ```\n\nIt has no external dependencies. \n\n## Details\n\nBasic operations with complex and real numbers are supported\n\n```\n>>> -I + 4 + 3*I\n4 + 2i\n>>> (25+35*I)/5\n5.0 + 7.0i\n>>> (-8 + 14*I)/(2+3*I)\n2.0000000000000018 + 4.000000000000001i\n>>> I**I\n.20787957635076193 + 0.0i\n```\n\nNote that since Floats behave weirdly, we use relative equality. Two Complex numbers are equal if their real and imaginary parts are close by at least ```1e-14```. You can change this by modifying AlComplex.precission to 0. \n\n```\n>>> (-8 + 14*I)/(2+3*I)\n2.0000000000000018 + 4.000000000000001i\n>>> (-8 + 14*I)/(2+3*I) == 2 + 4*I\nTrue\n```\n\nAlComplex objects have a basic but complete API:\n\n```\n>>> z = 1 + I\n>>> z.real\n1.0\n>>> z.imag\n1.0\n>>> z.abs()\n1.4142135623730951\n>>> z.phase()\n0.7853981633974483\n>>> z.to_polar()\n(1.4142135623730951, 0.7853981633974483)\n>>> z.to_rect_coord()\n(1,1)\n>>> z.conjugate()\n1 - i\n```\n\nNote that there many aliases and ways to get the same value: \n\n```python \nfrom AlComplex import phase, module, conjugate, real, imaginary\nz.phase() == z.arg() == z.angle() == phase(z)\nz.abs() == z.magnitude() == z.module() == abs(z) == module(z)\nz.real == real(z)\nz.imag == imaginary(z)\nz.conjugate() == conjugate(z)\n``` \n\nThere's also basic math functions, optimized for Complex objects. \n\n```\n>>> from AlComplex import sin, exp, Ln\n>>> from math import pi\n>>> exp(2*pi*I)\n1.0 + 0.0i\n>>> sin(2*pi)\n0.0 + 0.0i\n>>> sin(2 + I)\n1.4031192506220411 - 0.48905625904129324i\n>>> Ln(exp(I)) \n0.0 + 1.0*I\n``` \n\nNote that these functions work differently to ```cmath``` functions, since very small numbers are rounded to zero automatically.\n\n```\n>>> import cmath\n>>> import AlComplex\n>>> from math import pi\n>>> cmath.sin(2*pi)\n(-2.4492935982947064e-16+0j)\n>>> AlComplex.sin(2*pi)\n0.0 + 0.0i\n>>> cmath.sin(2*pi) == 0\nFalse\n>>> AlComplex.sin(2*pi) == 0\nTrue\n```\n\nThe functions available are ```sin```, ```cos```, ```tan```, ```sec```, ```csc```, ```cot```, ```asin```, ```acos```, ```atan```, ```sinh```, ```cosh```, ```tanh```, ```sech```, ```csch```, ```coth```, ```asinh```, ```acosh```, ```atanh```, ```exp```, ```Ln```, ```sqrt``` and ```inverse```.\n\nYou can set representation of complex numbers with j, if you prefer.\n\n```\n>>> from AlComplex import J, use_j\n>>> J\n0.0 + 1.0i\n>>> use_j(True)\n>>> 2 + J\n2.0 + 1.0j\n>>> use_j(False)\n>>> 2 + J\n2.0 + 1.0i\n```\n\nThere's also partial support for multiple valued functions. They all create generators.\n\n```\n>>> from AlComplex import int_roots, ln_values\n>>> from math import pi\n>>> list(int_roots(I, 3))\n[0.866025403784439 + 0.5i, -0.866025403784438 + 0.5i, 0.0 - 1.0i]\n>>> # Gives log(z.abs()) + (z.phase() + 2*pi*n)*I, where n takes the values from 0 to 2\n>>> list(ln_values(I, 0, 3))\n[0.0 + 1.5707963267948966i, 0.0 + 7.853981633974483i, 0.0 + 14.137166941154069i]\n```\n\nCurrently only int_roots of a function and complex logarithm are supported. More to come. \n\nYou can also get the n-th value of the log directly\n\n```\n>>> from AlComplex import ln_n_branch\n>>> ln_n_branch(I, 2)\n0.0 + 14.137166941154069i\n```",
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