在Python中定义和填充矩阵

时间:2015-07-30 06:45:41

标签: python matrix

本学期我参加了Python课程,我的导师喜欢使用矩阵。

我分配的任务如下:

创建一个3行,5列的矩阵(x)。

使用从外部文件加载的给定值填充矩阵,逐行加载数字(意味着,如果您将数字替换为它们加载到矩阵中的顺序:

1,2,3

4,5,6

7,8,9 ....等。)

打印矩阵 - 将其显示在屏幕上,并将结果发送到外部文件。

给定的数字范围是1,3,5,7,9,0,2,4,6,8,0,1,2,3,4。我将这些数字存储在名为lab5matrix.dat的文件中。数字格式完全相同,逗号和所有。

" A"作为LOADX的一部分出现代表" x"。我的教授改变了这些变量,说一个人不想要过多的糖"。我不知道这意味着什么。

当我尝试运行模块时,我得到了这个:

Traceback (most recent call last):

  File "E:/PythonScripts/Lab5-Matrices/lab5matrix.py", line 51, in <module>

    main()

  File "E:/PythonScripts/Lab5-Matrices/lab5matrix.py", line 15, in main

    LOADX(infile, x)

  File "E:/PythonScripts/Lab5-Matrices/lab5matrix.py", line 33, in LOADX

    A[j][k] = int(templist[n])

IndexError: list index out of range

真心感谢任何帮助。

这是我的代码,缩进似乎是准确的:

def main():

    #matrix initialization

    x=[[0,0,0],[0,0,0],[0,0,0],[0,0,0],[0,0,0]]


    #file declaration
    infile = open('lab5matrix.dat','r')
    outfile = open('lab5test.out', 'w')
    #call functions
    LOADX(infile, x)

    #close files
    infile.close()
    infile.close()
    outfile.close()
    dummy = input('Press any key to continue.')

#load matrix x
def LOADX(infile, A):
    #local variables
    n=0
    k=0
    s=0
    templist = (infile.readline().strip('\n').split(','))
    while (k<=3):  
        j=0
        while(j<=5):
            A[j][k] = int(templist[n])
            s=s+A[j][k]
            j=j+1
            n=n+1
        k=k+1



def OUTDATA(outfile, A):
    i=0
    j=0
    k=0      
    while (k<3):
        print(A[k][0],A[k][1],A[k][2],A[k][3],A[k][4])
        file.write[str(A[k][0])+str(A[k][1])+str(A[k][2])+str(A[k][3])+str(A[k][3])+str(A[k][4])]
        k=k+1


main()

3 个答案:

答案 0 :(得分:0)

A是一个包含5个元素的列表。因此,您只能使用数字0到4在函数中对其进行索引。注意内部while循环的条件。您正在使用从0到5的j值。当j等于5时,您将遇到问题。

外部while循环存在类似的问题。

将来你应该尝试调试像这样的小错误。最简单的方法是使用print语句!错误消息告诉您错误在line 33。它还告诉您列表索引超出范围。因此,如果您只是在错误发生之前放置print(j,k,n),那么您可以确定自己到底出了什么问题:)

希望这会有所帮助:)

答案 1 :(得分:0)

首先,对不起,如果我不像我一样精通这个论坛的礼节。我对这种特殊的语言非常陌生 - 我对网络编程更加精通 - 虽然逻辑和概念可能有点类似于JavaScript,但发现和修复错误实际上并非如此。不管怎样,不适合我。

其次,我发布的一个小问题是一个更大的程序的一部分,该程序被指定为实验室......弄清楚我在X矩阵中做错了什么是Rosetta Stone帮助整个混乱到位。我老实说刚刚陷入困境,我不知道该怎么做。我在夏季学期学习这门课程,这是一个学期常规学期的一半,没有更少的任务或要求 - 通过这种材料快速移动不利于知识保留。

一位同学帮助我顺利完成......是的,上面发布的循环中的值存在问题。我通过将'小于或等于'更改为“小于”来修复此问题,使用所有值,但不包括运算符后面的值。

这是最终(工作)X矩阵循环:

def loadx(file,A):
    #local variable
    k=0
    n=0
    templist=file.readline().strip("\n").split(",")
    while(k<5):
        j=0
        while(j<3):
            A[k][j]=int(templist[n])
            j=j+1
            n=n+1
        k=k+1

而且,如果有人感兴趣,我会发布程序的整个工作版本 - 基本上,我们给了两组数据,并使用这些,我们编写了一个程序来加载矩阵x(5行乘3列)从文件,加载行中的值,从文件加载矩阵y(3行,7列),加载列中的值,将x矩阵的第一列的总和加到y矩阵的第一行的总和,找到y矩阵的第0行中的最小值,并将矩阵x乘以矩阵y以生成矩阵z,并在屏幕上打印矩阵并将所有结果写入outfile。 简单吧? ; )

sumx=0
sumy=0

def main():
    #Matrices declaration
    x=([0,0,0],[0,0,0],[0,0,0],[0,0,0],[0,0,0])
    y=([0,0,0,0,0,0,0],[0,0,0,0,0,0,0],[0,0,0,0,0,0,0])
    z=([0,0,0,0,0,0,0],[0,0,0,0,0,0,0],[0,0,0,0,0,0,0],[0,0,0,0,0,0,0],[0,0,0,0,0,0,0])
    #file declaration
    infilex=open("lab5x.dat","r")
    infiley=open("lab5y.dat","r")
    outfile=open("lab5.out","w")
    #variable declaration
    totSum=0
    small=0
    #call functions
    loadx(infilex,x)
    loady(infiley,y)
    computez(x,y,z)
    summation(x,y)
    small=float(smallest(y))
    totSum=(sumx+sumy)
    outdata(outfile,x,y,z,small,totSum)
    #close files
    infilex.close()
    infiley.close()
    outfile.close()
    dummy=input("Please press any key to continue")
    #Functions
def loadx(file,A):
    #local variable
    k=0
    n=0
    templist=file.readline().strip("\n").split(",")
    while(k<5):
        j=0
        while(j<3):
            A[k][j]=int(templist[n])
            j=j+1
            n=n+1
        k=k+1
def loady(file,B):
    #local variable
    k=0
    n=0
    templist=file.readline().strip("\n").split(",")
    while(k<7):
        j=0
        while(j<3):
            B[j][k]=int(templist[n])
            j=j+1
            n=n+1
        k=k+1
def computez(A,B,C):
    i=0
    while(i<5):
        j=0
        while(j<7):
            k=0
            while(k<3):
                C[i][j]=C[i][j]+A[i][k]*B[k][j]
                k=k+1
            j=j+1
        i=i+1
def summation(A,B):
    j=0
    k=0
    totSum=0
    #global variable
    global sumx
    global sumy
    while(k<5):
        sumx=A[k][1]+sumx
        k=k+1
    while(j<7):
        sumy=B[1][j]+sumy
        j=j+1
def smallest(B):
    k=0
    small=0
    while(k<7):        
        if small>B[0][k]:
            small=B[0][k]
        k=k+1
    return(small)
def outdata(file,A,B,C,D,E):
    #local variable
    kA=0
    kB=0
    kC=0
    global sumx
    global sumy
    print("OUTPUT", ("\n"))
    print("------")
    print("X Matrix", ("\n"))
    file.write(str("OUTPUT")+"\n")
    file.write("X Matrix"+"\n")
    while (kA<5):
        print("\n")
        j=0
        while(j<3):
            print(A[kA][j])
            file.write(str(A[kA][j])+" ")
            j=j+1
        kA=kA+1
        file.write("\n")
    file.write("\n")
    print("\n")
    print("Y Matrix", ("\n"))
    file.write("Y Matrix"+"\n")
    while(kB<3):
        print("\n")
        j=0
        while(j<7):
            print(B[kB][j]," ")
            file.write(str(B[kB][j])+" ")
            j=j+1
        kB=kB+1
        file.write("\n")
    file.write("\n")
    print("\n")
    print("Z Matrix", ("\n"))
    file.write("Z Matrix"+"\n")
    while (kC<5):
        j=0
        while(j<7):
            print(C[kC][j]," ")
            file.write(str(C[kC][j])+" ")
            j=j+1
        kC=kC+1
        print("\n")
    file.write("\n")
    file.write("Sumx: "+str(sumx)+"\n")
    file.write("Sumy: "+str(sumy)+"\n")
    file.write("Smallest: "+str(D)+"\n")
    file.write("Total Sum: "+str(E))
main()

答案 2 :(得分:0)

只是为了好玩: - )

请参阅下文,了解矩阵问题的更多Pythonic实现。我只实现了矩阵乘法,因为这是最难的:

#!/usr/bin/python

# number of rows and colums for matrix x
NROWSX=5
NCOLSX=3

# number of rows and colums for matrix y
NROWSY=3
NCOLSY=7

# class to hold matrix of any dimension
# and some matrix operations
class Matrix(object):
    def __init__(self, nrows, ncols):
        # define matrix (set dimensions)
        self.nrows = nrows
        self.ncols = ncols

    # create matrix: pass a list and convert it to rows
    def fill(self, values):
        self.matrix = list(self.chunks(values, self.ncols))

    # transpose the matrix
    def transpose(self):
        # serialise matrix data
        __serial = []
        for row in self.matrix:
            __serial += row
        # create new (empty) matrix
        __transp = map(list, [[]] * self.ncols)
        # populate matrix 
        for i in xrange(self.nrows):
            for j in xrange(self.ncols):
                __transp[j].append(__serial[i * self.ncols + j])
        # done
        __new = Matrix(self.ncols, self.nrows)
        __new.matrix = __transp
        return __new

    # helper function to cut up a list in equally sized chunks
    def chunks(self, l, n):
        """Yield successive n-sized chunks from l."""
        for i in xrange(0, len(l), n):
            yield l[i:i+n]

    def __mul__(self, other):
        # our ncols must equal other's nrows for multiplication to work
        if (self.ncols == other.nrows):
            # multiply works best on transposed matrix
            other = other.transpose()
            # execute multiplication serially
            __serial = []
            for r1 in self.matrix:
                for r2 in other.matrix:
                    # calculate sum over row x column
                    s = 0
                    for i in (x*y for x,y in zip(r1,r2)):
                        s += i                    
                    __serial.append(s)
            # turn data into new matrix
            __new = Matrix(self.nrows, other.nrows)
            __new.fill(__serial)
            return __new
        else:
            raise ValueError, "columns and rows don't match"

    def __rmul__(self, other):
        # haven't done this one yet...
        print '__rmul__ not available'
        return None


if __name__ == "__main__":
    datax = [1,3,5,7,9,0,2,4,6,8,0,1,2,3,4] # 5x3
    datay = [6,8,4,0,7,1,2,2,3,7,1,0,1,8,9,6,4,5,7,9,8] # 3x7

    # create and populate matrix x
    mtx_x = Matrix(NROWSX, NCOLSX)
    mtx_x.fill(datax)

    # create and populate matrix y
    mtx_y = Matrix(NROWSY, NCOLSY)
    mtx_y.fill(datay)

    print "\nmatrix x:"
    print mtx_x.matrix

    print "\nmatrix y:"
    print mtx_y.matrix

    # multiply both matrices
    mtx_z = mtx_x * mtx_y

    print "\nmatrix z:"
    print mtx_z.matrix
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