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Equação do segundo grau em python

#!/usr/bin/env python
# -*- encoding: utf-8 -*-
# fonte: http://blog.elcio.com.br/resolvendo-equacoes-do-segundo-grau-com-python/
# import baskara
# help(baskara)
'''
Funções matemáticas para equações do segundo grau.
'''
from math import sqrt
 
def baskara(a,b,c):
  '''
  Função que fornece as raízes de uma equação do segundo grau.
  No caso de não haver raízes, retorna uma tupla vazia.
  Exemplos:
  >>> baskara(1,5,4)
  (-1.0, -4.0)
  >>> baskara(1,4,4)
  (-2.0,)
  >>> baskara(4,4,4)
  ()
  >>> baskara(0,4,2) # se a é zero, temos uma equação do primeiro grau
  (-0.5,)
  '''
  a,b,c=float(a),float(b),float(c)
  if(a==0):return (-c/b,)
  delta=b**2-4*a*c
  if delta<0:return ()
  if delta==0:return (-b/(2*a),)
  return ((-b+sqrt(delta))/(2*a),(-b-sqrt(delta))/(2*a))
 
if __name__=="__main__":
  # Se rodou o arquivo diretamente, sem importar, roda os testes.
  import doctest
  doctest.testmod()
https://snipt.net/embed/536e07f9a3e0669d7a29ee3ee43bc1db/
/raw/536e07f9a3e0669d7a29ee3ee43bc1db/
536e07f9a3e0669d7a29ee3ee43bc1db
python
Python
36
2019-06-20T06:11:56
True
False
False
/api/public/snipt/4694/
equacao-do-segundo-grau-em-python
<table class="highlighttable"><tr><td class="linenos"><div class="linenodiv"><pre><a href="#L-1"> 1</a> <a href="#L-2"> 2</a> <a href="#L-3"> 3</a> <a href="#L-4"> 4</a> <a href="#L-5"> 5</a> <a href="#L-6"> 6</a> <a href="#L-7"> 7</a> <a href="#L-8"> 8</a> <a href="#L-9"> 9</a> <a href="#L-10">10</a> <a href="#L-11">11</a> <a href="#L-12">12</a> <a href="#L-13">13</a> <a href="#L-14">14</a> <a href="#L-15">15</a> <a href="#L-16">16</a> <a href="#L-17">17</a> <a href="#L-18">18</a> <a href="#L-19">19</a> <a href="#L-20">20</a> <a href="#L-21">21</a> <a href="#L-22">22</a> <a href="#L-23">23</a> <a href="#L-24">24</a> <a href="#L-25">25</a> <a href="#L-26">26</a> <a href="#L-27">27</a> <a href="#L-28">28</a> <a href="#L-29">29</a> <a href="#L-30">30</a> <a href="#L-31">31</a> <a href="#L-32">32</a> <a href="#L-33">33</a> <a href="#L-34">34</a> <a href="#L-35">35</a></pre></div></td><td class="code"><div class="highlight"><pre><span></span><span id="L-1"><a name="L-1"></a><span class="ch">#!/usr/bin/env python</span> </span><span id="L-2"><a name="L-2"></a><span class="c1"># -*- encoding: utf-8 -*-</span> </span><span id="L-3"><a name="L-3"></a><span class="c1"># fonte: http://blog.elcio.com.br/resolvendo-equacoes-do-segundo-grau-com-python/</span> </span><span id="L-4"><a name="L-4"></a><span class="c1"># import baskara</span> </span><span id="L-5"><a name="L-5"></a><span class="c1"># help(baskara)</span> </span><span id="L-6"><a name="L-6"></a><span class="sd">&#39;&#39;&#39;</span> </span><span id="L-7"><a name="L-7"></a><span class="sd">Funções matemáticas para equações do segundo grau.</span> </span><span id="L-8"><a name="L-8"></a><span class="sd">&#39;&#39;&#39;</span> </span><span id="L-9"><a name="L-9"></a><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">sqrt</span> </span><span id="L-10"><a name="L-10"></a> </span><span id="L-11"><a name="L-11"></a><span class="k">def</span> <span class="nf">baskara</span><span class="p">(</span><span class="n">a</span><span class="p">,</span><span class="n">b</span><span class="p">,</span><span class="n">c</span><span class="p">):</span> </span><span id="L-12"><a name="L-12"></a> <span class="sd">&#39;&#39;&#39;</span> </span><span id="L-13"><a name="L-13"></a><span class="sd"> Função que fornece as raízes de uma equação do segundo grau.</span> </span><span id="L-14"><a name="L-14"></a><span class="sd"> No caso de não haver raízes, retorna uma tupla vazia.</span> </span><span id="L-15"><a name="L-15"></a><span class="sd"> Exemplos:</span> </span><span id="L-16"><a name="L-16"></a><span class="sd"> &gt;&gt;&gt; baskara(1,5,4)</span> </span><span id="L-17"><a name="L-17"></a><span class="sd"> (-1.0, -4.0)</span> </span><span id="L-18"><a name="L-18"></a><span class="sd"> &gt;&gt;&gt; baskara(1,4,4)</span> </span><span id="L-19"><a name="L-19"></a><span class="sd"> (-2.0,)</span> </span><span id="L-20"><a name="L-20"></a><span class="sd"> &gt;&gt;&gt; baskara(4,4,4)</span> </span><span id="L-21"><a name="L-21"></a><span class="sd"> ()</span> </span><span id="L-22"><a name="L-22"></a><span class="sd"> &gt;&gt;&gt; baskara(0,4,2) # se a é zero, temos uma equação do primeiro grau</span> </span><span id="L-23"><a name="L-23"></a><span class="sd"> (-0.5,)</span> </span><span id="L-24"><a name="L-24"></a><span class="sd"> &#39;&#39;&#39;</span> </span><span id="L-25"><a name="L-25"></a> <span class="n">a</span><span class="p">,</span><span class="n">b</span><span class="p">,</span><span class="n">c</span><span class="o">=</span><span class="nb">float</span><span class="p">(</span><span class="n">a</span><span class="p">),</span><span class="nb">float</span><span class="p">(</span><span class="n">b</span><span class="p">),</span><span class="nb">float</span><span class="p">(</span><span class="n">c</span><span class="p">)</span> </span><span id="L-26"><a name="L-26"></a> <span class="k">if</span><span class="p">(</span><span class="n">a</span><span class="o">==</span><span class="mi">0</span><span class="p">):</span><span class="k">return</span> <span class="p">(</span><span class="o">-</span><span class="n">c</span><span class="o">/</span><span class="n">b</span><span class="p">,)</span> </span><span id="L-27"><a name="L-27"></a> <span class="n">delta</span><span class="o">=</span><span class="n">b</span><span class="o">**</span><span class="mi">2</span><span class="o">-</span><span class="mi">4</span><span class="o">*</span><span class="n">a</span><span class="o">*</span><span class="n">c</span> </span><span id="L-28"><a name="L-28"></a> <span class="k">if</span> <span class="n">delta</span><span class="o">&lt;</span><span class="mi">0</span><span class="p">:</span><span class="k">return</span> <span class="p">()</span> </span><span id="L-29"><a name="L-29"></a> <span class="k">if</span> <span class="n">delta</span><span class="o">==</span><span class="mi">0</span><span class="p">:</span><span class="k">return</span> <span class="p">(</span><span class="o">-</span><span class="n">b</span><span class="o">/</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">a</span><span class="p">),)</span> </span><span id="L-30"><a name="L-30"></a> <span class="k">return</span> <span class="p">((</span><span class="o">-</span><span class="n">b</span><span class="o">+</span><span class="n">sqrt</span><span class="p">(</span><span class="n">delta</span><span class="p">))</span><span class="o">/</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">a</span><span class="p">),(</span><span class="o">-</span><span class="n">b</span><span class="o">-</span><span class="n">sqrt</span><span class="p">(</span><span class="n">delta</span><span class="p">))</span><span class="o">/</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">a</span><span class="p">))</span> </span><span id="L-31"><a name="L-31"></a> </span><span id="L-32"><a name="L-32"></a><span class="k">if</span> <span class="n">__name__</span><span class="o">==</span><span class="s2">&quot;__main__&quot;</span><span class="p">:</span> </span><span id="L-33"><a name="L-33"></a> <span class="c1"># Se rodou o arquivo diretamente, sem importar, roda os testes.</span> </span><span id="L-34"><a name="L-34"></a> <span class="kn">import</span> <span class="nn">doctest</span> </span><span id="L-35"><a name="L-35"></a> <span class="n">doctest</span><span class="o">.</span><span class="n">testmod</span><span class="p">()</span> </span></pre></div> </td></tr></table>
algoritmos, math, python