{
    "info": {
        "author": "Gabriel Queiroz",
        "author_email": "gabrieljvnq@gmail.com",
        "bugtrack_url": null,
        "classifiers": [
            "Framework :: tox",
            "Intended Audience :: Education",
            "License :: OSI Approved :: MIT License",
            "Natural Language :: Portuguese (Brazilian)",
            "Operating System :: OS Independent",
            "Programming Language :: Python :: 2",
            "Programming Language :: Python :: 3",
            "Topic :: Scientific/Engineering",
            "Topic :: Scientific/Engineering :: Physics",
            "Topic :: Utilities"
        ],
        "description": "[![Build Status](https://travis-ci.org/gjvnq/LabIFSC.svg?branch=master)](https://travis-ci.org/gjvnq/LabIFSC) [![Codecov](https://img.shields.io/codecov/c/github/gjvnq/LabIFSC.svg)](https://codecov.io/gh/gjvnq/LabIFSC) [![PyPI - Python Version](https://img.shields.io/pypi/pyversions/LabIFSC.svg)](https://www.python.org) [![GitHub - License](https://img.shields.io/github/license/gjvnq/LabIFSC.svg)](https://github.com/gjvnq/LabIFSC/blob/master/LICENSE) [![PyPI - Version](https://img.shields.io/pypi/v/LabIFSC.svg)](https://pypi.org/project/LabIFSC)\n\n# LabIFSC\n\nUma biblioteca para Python 2 e Python 3 para propaga\u00e7\u00e3o de erro e convers\u00e3o de unidades utilizando os m\u00e9todos (um tanto ins\u00f3litos) que os professores de lab de f\u00edsica do IFSC-USP insistem.\n\n# Sum\u00e1rio\n1. [Instala\u00e7\u00e3o](#instala\u00e7\u00e3o)\n    1. [PIP](#pip)\n    2. [Manualmente](#manualmente)\n2. [Uso](#uso)\n    1. [O B\u00e1sico](#o-b\u00e1sico)\n    2. [Compara\u00e7\u00f5es](#compara\u00e7\u00f5es)\n    3. [Propaga\u00e7\u00e3o de Erro](#propaga\u00e7\u00e3o-de-erro)\n    4. [Unidades](#unidades)\n    5. [Formata\u00e7\u00e3o de N\u00fameros](#formata\u00e7\u00e3o-de-n\u00fameros)\n    6. [Sequ\u00eancias e Tabelas](#sequ\u00eancias-e-tabelas)\n\n# Instala\u00e7\u00e3o\n\n## PIP\n\nEm um terminal, basta executar um dos seguintes comandos para instalar ou atualizar a LibIFSC:\n\n```pip2 install -U LabIFSC --user``` (para quem usa Python 2)\n\n```pip3 install -U LabIFSC --user``` (para quem usa Python 3)\n\n## Manualmente\n\nCaso o PIP n\u00e3o esteja dispon\u00edvel ou n\u00e3o funcione, \u00e9 poss\u00edvel utilizar a LabIFSC simplesmente colocando a pasta [```LabIFSC```](https://github.com/gjvnq/LabIFSC/archive/master.zip) dentro da pasta em que o seu script est\u00e1. Exemplo:\n\n```\n\u2500\u252c Minha pasta qualquer\n \u251c\u2500 Relat\u00f3rio.tex\n \u251c\u2500 Relat\u00f3rio.pdf\n \u251c\u2500 Foto1.jpg\n \u250a\n \u251c\u2500 meu script.py\n \u2514\u252c LabIFSC\n  \u251c\u2500 __init__.py\n  \u251c\u2500 geral.py\n  \u251c\u2500 lista_de_unidades.py\n  \u251c\u2500 matematica.py\n  \u251c\u2500 medida.py\n  \u251c\u2500 tabela.py\n  \u2514\u2500 unidade.py\n```\n\n[Download da \u00daltima Vers\u00e3o (.zip)](https://github.com/gjvnq/LabIFSC/archive/master.zip)\n\n[Lista de Todas as Vers\u00f5es](https://github.com/gjvnq/LabIFSC/releases)\n\n# Uso\n\n## O B\u00e1sico\n\nPara utilizar essa biblioteca:\n```python\nfrom LabIFSC import *\n```\n\nA principal classe \u00e9 a ```Medida```. Ela pode ser inicializada de diversas formas como mostrado abaixo.\n(Note que todas essas medidas s\u00e3o iguais, o que muda \u00e9 a apenas o formato)\n\n```python\n# A unidade \u00e9 sempre opcional\nm = Medida((130, 27), \"m\")  # Medida((valor nominal, erro), unidade)\nm = Medida(\"130+-27\", \"m\")  # Medida(valor+-erro, unidade)\nm = Medida(\"130+/-27\", \"m\") # Medida(valor+/-erro, unidade)\nm = Medida(\"130\u00b127\", \"m\")   # Medida(valor\u00b1erro, unidade)\nm = Medida(\"130(27)\", \"m\")  # Medida(valor(erro), unidade)\n```\n\nTamb\u00e9m podemos usar a abreviatura ```M()```, a qual funciona de forma bem parecida:\n\n```python\nm = M((130, 27), \"m\")  # Medida((valor nominal, erro), unidade)\nm = M(\"130+-27\", \"m\")  # Medida(valor+-erro, unidade)\nm = M(\"130+/-27\", \"m\") # Medida(valor+/-erro, unidade)\nm = M(\"130\u00b127\", \"m\")   # Medida(valor\u00b1erro, unidade)\nm = M(\"130(27)\", \"m\")  # Medida(valor(erro), unidade)\n```\n\nNo entanto, ```M()``` tamb\u00e9m nos permite criar listas de medidas com facilidade:\n\n```python\nx = M([7, 15, 28, 42, 49, 61], incerteza=1, unidade=\"cm\")\ny = M([\"1\", \"2\", \"3\", \"4\", \"4\", \"6\"], incerteza=0.01, unidade=\"s\")\nz = M([\"7+-1\", \"15+/-0.1\", \"28\u00b110\", \"42(3)\", 49, 61], unidade=\"kg\", incerteza=0.01)\n```\n\nUma inst\u00e2ncia de ```Medida``` tem os seguintes atributos:\n\n```python\nm = Medida(\"130\u00b127\", \"ft\")\nprint(m.nominal)      # 130.0\nprint(m.incerteza)    # 27.0\nprint(m.si_nominal)   # 39.64\nprint(m.si_incerteza) # 8.2296\n```\n\nOs valores prefixados com ```si_``` est\u00e3o em unidades do MKS, ou seja: metro, radiano, quilograma, segundo, Kelvin, Amp\u00e8re e mol. As dimens\u00f5es f\u00edsicas s\u00e3o, respectivamente: comprimento (L), \u00e2ngulo (A), massa (M), tempo (T), temperatura (K), corrente (I) e \"n\u00famero\" (N). Quando uma medida \u00e9 adimensional, usa-se \u2205 como mostrado no excerto abaixo:\n\n```python\n# Lembre-se que lb \u00e9 o s\u00edmbolo para libras/pounds\nM(\"1\") # <1.0\u00b10.0  = 1.0\u00b10.0 \u2205>\nM(\"1\", \"lb/kg\") # <1.0\u00b10.0 lb kg\u207b\u00b9 = 0.45359237\u00b10.0 \u2205>\n```\n\nTamb\u00e9m \u00e9 poss\u00edvel converter uma medida para sua equivalente no SI usando o m\u00e9todo ```.SI()``` como no exemplo abaixo:\n\n```python\nM(\"1+-0.1\", \"ft\").SI() # <0.3048\u00b10.03048 m = 0.3048\u00b10.03048 L1>\n```\n\n## Compara\u00e7\u00f5es\n\nAs compara\u00e7\u00f5es entre medidas n\u00e3o comparam os valores em si, mas sim verificam se as medidas s\u00e3o estatisticamente equivalentes.\n\nA equa\u00e7\u00e3o que determina se duas medidas s\u00e3o equivalentes \u00e9: ```|x\u2081 - x\u2082| \u2264 2(\u03c3\u2081 + \u03c3\u2082)```. J\u00e1 a equa\u00e7\u00e3o~que determina n\u00e3o equival\u00eancia \u00e9 ```|x\u2081 - x\u2082| > 3(\u03c3\u2081 + \u03c3\u2082)```.\n\nCuidado deve ser tomado j\u00e1 que duas medidas podem n\u00e3o ser iguais nem diferentes ao mesmo tempo.\n\n```python\nm1 = Medida(\"100+/-7\")\nm2 = Medida(\"110+/-3\")\nm1 == m2 # True\nm1 != m2 # False\n```\n\n```python\nm1 = Medida(\"100+/-7\")\nm2 = Medida(\"125+/-3\")\nm1 == m2 # False\nm1 != m2 # False\n```\n\n```python\nm1 = Medida(\"100+/-7\")\nm2 = Medida(\"131+/-3\")\nm1 == m2 # False\nm1 != m2 # True\n```\n\n## Propaga\u00e7\u00e3o de Erro\n\nA propaga\u00e7\u00e3o de erro \u00e9 feita automaticamente nas seguintes oper\u00e7\u00f5es: ```+```, ```-```, ```*```, ```/```, ```**```.\n\n```python\nm1 = Medida(\"20+/-1\")\nm2 = Medida(\"4+/-2\")\nprint(m1+m2) # 24\u00b13\nprint(m1-m2) # 16\u00b13\nprint(m1*m2) # 80\u00b140\nprint(m1/m2) # 5\u00b13\nprint(m1**4) # 160000\u00b130000\nprint(3**m2) # 81\u00b1200\nprint(m1**m2) # Erro\n```\n\nInfelizmente, n\u00e3o h\u00e1 propaga\u00e7\u00e3o de erro autom\u00e1tica nas fun\u00e7\u00f5es da biblioteca ```math```, por\u00e9m, a LabIFSC prov\u00ea as seguintes fun\u00e7\u00f5es com propaga\u00e7\u00e3o de erro:\n\n```python\nm1 = Medida(\"20+/-1.5\")\nprint(cos(m1))     # 0\u00b11\nprint(sin(m1))     # 0.9\u00b10.6\nprint(tan(m1))     # 2\u00b19\nprint(cot(m1))     # 0\u00b12\nprint(sec(m1))     # 2\u00b18\nprint(csc(m1))     # 2.2\u00b10.7\nprint(arc_cos(m1)) # 0.8\u00b10.1 rad\nprint(arc_sin(m1)) # 0.8\u00b10.1 rad\nprint(arc_tan(m1)) # 0.6\u00b10.1 rad\nprint(log(m1))     # 2.73\u00b10.07\nprint(log10(m1))   # 1.30\u00b10.03\nprint(log2(m1))    # 4.3\u00b10.1\nprint(ln(m1))      # 3\u00b10.08\nprint(sqrt(m1))    # 4.5\u00b10.2\nprint(cbr(m1))     # 2.71\u00b10.0\n```\n\n## Unidades\n\nTodas as medidas podem ter um par\u00e2metro adicional de unidade ap\u00f3s o valor. Por exemplo:\n\n```python\nm1 = Medida(\"1+/-0.001\", \"m\")\nm2 = Medida(\"1+/-0.001\", \"ft\")\nm3 = Medida(\"1+/-0.02\", \"s\")\n```\n\n(O arquivo ```LabIFSC/lista_de_unidades.py``` cont\u00e9m todas as unidades suportadas por esta biblioteca.)\n\nAs contas de soma e subtra\u00e7\u00e3o sempre ficam nas unidades do primeiro argumento nas opera\u00e7\u00f5es, exceto quando o primeiro argumento for adimensional. Neste caso, as unidades ser\u00e3o as do segundo argumento.\n\nJ\u00e1 as contas de multiplica\u00e7\u00e3o e divis\u00e3o simplesmente combinam as unidades.\n\n```python\n# Lembre-se que ft \u00e9 o s\u00edmbolo para p\u00e9s\nprint(m1+m2) #  2.610\u00b10.001 m\nprint(m2+m1) #  5.586\u00b10.004 ft\nprint(m1-m2) # -0.610\u00b10.001 m\nprint(m2-m1) # -3.586\u00b10.004 ft\nprint(m1*m2) #  1.000\u00b10.002 ft m\nprint(m2*m1) #  1.000\u00b10.002 ft m\nprint(m1/m2) #  1.000\u00b10.002 m ft\u207b\u00b9\nprint(m2/m1) #  1.000\u00b10.002 ft m\u207b\u00b9\nprint(m1*m3) #  1.00\u00b10.02 m s\nprint(m1/m3) #  1.00\u00b10.02 m s\u207b\u00b9\n```\n\nPara converter as unidades:\n\n```python\nm4 = m1*m2/m3\nprint(m4.converta(\"m^2 s^-1\")) # 1.610\u00b10.007 m\u00b2 s\u207b\u00b9\nprint(m4.converta(\"m^2/s\"))    # 1.610\u00b10.007 m\u00b2 s\u207b\u00b9\n```\n\n## Formata\u00e7\u00e3o de N\u00fameros\n\nUma mesma ```Medida``` pode ser impressa de diferentes formas:\n\n```python\nm1 = Medida(\"1.23456789+/-0.015\", \"m lb/s\")\n\n# Formata\u00e7\u00e3o padr\u00e3o, do jeito que os profs de lab gostam\nprint(m1)              # 1.23\u00b10.02 m lb s\u207b\u00b9\nprint(str(m1))         # 1.23\u00b10.02 m lb s\u207b\u00b9\nprint(\"{}\".format(m1)) # 1.23\u00b10.02 m lb s\u207b\u00b9\n\n# Representa\u00e7\u00e3o do objeto Medida. Temos o valor original \u00e0 esquerda e o valor no SI, bem como a dimens\u00e3o f\u00edsica, \u00e0 direita\nprint(m1.__repr__())        # <1.23456789\u00b10.015 m lb s\u207b\u00b9 = 0.5599905751509993\u00b10.00680388555 L1M1T-1>\nprint(\"{:repr}\".format(m1)) # <1.23456789\u00b10.015 m lb s\u207b\u00b9 = 0.5599905751509993\u00b10.00680388555 L1M1T-1>\n\n# Diferentes estilos de representa\u00e7\u00e3o com o arredondamento padr\u00e3o (arredondamento ifsc)\nprint(\"{}\".format(m1))          # 1.23\u00b10.02 m lb s\u207b\u00b9\nprint(\"{:-}\".format(m1))        # 1.23\u00b10.02 m lb s\u207b\u00b9\nprint(\"{:latex}\".format(m1))    # 1.23\\pm0.02\\textrm{ m lb s^-1}\nprint(\"{:siunitex}\".format(m1)) # 1.23\u00b10.02 m lb s\u207b\u00b9\nprint(\"{:txt}\".format(m1))      # 1.23+/-0.02 m lb s^-1\n\n# Diferentes estilos de representa\u00e7\u00e3o com o arredondamento do ifsc\nprint(\"{}\".format(m1))               # 1.23\u00b10.02 m lb s\u207b\u00b9\nprint(\"{:-,ifsc}\".format(m1))        # 1.23\u00b10.02 m lb s\u207b\u00b9\nprint(\"{:latex,ifsc}\".format(m1))    # 1.23\\\\pm0.02\\\\textrm{ m lb s^-1}\nprint(\"{:siunitex,ifsc}\".format(m1)) # 1.23\u00b10.02 m lb s\u207b\u00b9\nprint(\"{:txt,ifsc}\".format(m1))      # 1.23+/-0.02 m lb s^-1\n\n# Diferentes estilos de representa\u00e7\u00e3o sem arredondamento\nprint(\"{:-,full}\".format(m1))        # 1.23456789\u00b10.015 m lb s\u207b\u00b9\nprint(\"{:latex,full}\".format(m1))    # 1.23456789\\\\pm0.015\\\\textrm{ m lb s^-1}\nprint(\"{:siunitex,full}\".format(m1)) # 1.23456789\u00b10.015 m lb s\u207b\u00b9\nprint(\"{:txt,full}\".format(m1))      # 1.23456789+/-0.015 m lb s^-1\n\n# Diferentes estilos de representa\u00e7\u00e3o com o arredondamento do ifsc usando 10^-2 como base\nprint(\"{:-,ifsc,-2}\".format(m1))        # (123\u00b12)\u00d710\u207b\u00b2 m lb s\u207b\u00b9\nprint(\"{:latex,ifsc,-2}\".format(m1))    # (123\\pm2)\\cdot10^{-2}\\textrm{ m lb s^-1}\nprint(\"{:siunitex,ifsc,-2}\".format(m1)) # (123\u00b12)\u00d710\u207b\u00b2 m lb s\u207b\u00b9\nprint(\"{:txt,ifsc,-2}\".format(m1))      # (123+/-2)*10^-2 m lb s^-1\n\n# Diferentes estilos de representa\u00e7\u00e3o sem arredondamento usando 10^-2 como base\nprint(\"{:-,full,-2}\".format(m1))        # (123.45678899999999\u00b11.5)\u00d710\u207b\u00b2 m lb s\u207b\u00b9\nprint(\"{:latex,full,-2}\".format(m1))    # (123.45678899999999\\pm1.5)\\cdot10^{-2}\\textrm{ m lb s^-1}\nprint(\"{:siunitex,full,-2}\".format(m1)) # (123.45678899999999\u00b11.5)\u00d710\u207b\u00b2 m lb s\u207b\u00b9\nprint(\"{:txt,full,-2}\".format(m1))      # (123.45678899999999+/-1.5)*10^-2 m lb s^-1\n```\n\n## Sequ\u00eancias e Tabelas\n\nEssa biblioteca prov\u00ea fun\u00e7\u00f5es para calcular m\u00e9dia, desvio padr\u00e3o e lineariza\u00e7\u00e3o de dados. Mais detalhes est\u00e3o no exemplo abaixo:\n\n```python\nx = M([\"147.0\", \"161.8\", \"174.6\", \"161.01\", \"175.6\", \"166.0\"], incerteza=0.1, unidade=\"cm\")\nprint(media(x))                             # 160\u00b110 cm\nprint(media(x, incerteza=\"desvio padr\u00e3o\"))  # 160\u00b110 cm\nprint(media(x, incerteza=\"propaga\u00e7\u00e3o\"))     # 164.3\u00b10.1 cm\nprint(desvio_padrao(x))                     # 10.516907815513074\n\nx = M([\"7\", \"15\", \"28\", \"42\", \"49\", \"61\"], incerteza=1, unidade=\"cm\")\ny = M([\"1\", \"2\", \"3\", \"4\", \"4\", \"6\"], incerteza=0.01, unidade=\"s\")\nlinearize(x, y, imprimir=True)\nx[1] = x[1].converta(\"m\")\nx[2] = x[2].converta(\"km\")\nlinearize(x, y, imprimir=True)\n# Note que, mesmo com unidades diferentes, as lineariza\u00e7\u00f5es tem o mesmo resultado\n```\n\n\n",
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