解算案例

本文為實現python一元方程解算的源碼案例(后續不定期更新)

# -*- coding: UTF-8 -*-

from sympy import *

#設置一些可能拋出的異常

def Warn(type):

if type == "missEquater":

print "You missed the euqater!"

elif type == "excessiveEquater":

print "You entered too much equater!"

#檢查輸入方程是否有超過一個等號

def CheckEquation_1(equation):

equalNums = 0

for char in equation:

if char == "=":

equalNums += 1

return equalNums

#純化等式，去掉空格

def PurifyEquation(equation):

PureEquation = ""

for char in equation:

if char != " ":

PureEquation += char

return PureEquation

#標準化等式方法

def NormalizationEquation_1(equation):

resultEquation = ""

numbers = ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']

letters = ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z']

index = 1

for char in equation:

if index < len(equation):

if char in numbers and equation[index] in letters:

resultEquation += char + "*"

else:

resultEquation += char

else:

resultEquation += char

index += 1

return resultEquation

#右式化簡方案(傳入右式)

def RightSimplify(equation):

#最終輸出結果

simplifiedEquation = []

#補上加號

if equationIn[0] != "-" and equationIn[0] != "+":

equation = "+" + equation

#print equation

#獲取各個單項式的去符號結果

rightEquationContents = equation.replace("+", " ").replace("-", " ").split(" ")

rightEquationContents.remove("")

#獲取各個單項式符號

rightSymbols = []

for char in equation:

if char == "+":

rightSymbols.append("+")

elif char == "-":

rightSymbols.append("-")

#將單項式(去符號)與單項式合并寫入返回值列表

currentIndex = 0

for contents in rightEquationContents:

simplifiedEquation.append([rightSymbols[currentIndex], contents])

#遞增指針

currentIndex += 1

#返回處理結果

return simplifiedEquation

equationIn = raw_input("Equation here:")

print "Puring equation..."

equationIn = PurifyEquation(equationIn)

print equationIn

print "Normalizing equation..."

equationIn = NormalizationEquation_1(equationIn)

print equationIn

equalNums = CheckEquation_1(equationIn)

if equalNums == 0:

Warn("missEquater")

elif equalNums > 1:

Warn("excessiveEquater")

else:

print "Split the equation..."

#分離等式左右兩邊

splitedEquation = equationIn.split("=")

#左式準備

leftEquation = splitedEquation[0]

print splitedEquation

print "Split the right side of the equation..."

rightEquation = RightSimplify(splitedEquation[1])

print rightEquation

#循環右邊的單項式

for single in rightEquation:

if single[0] == '+':

leftEquation += '-' + single[1]

else:

leftEquation += '+' + single[1]

print "Standard form simplified: " + leftEquation + "=0"

? ?print solve(leftEquation, "x")

之前寫的粒子模擬引擎未來會用上新的解算系統

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