编程题 7-36 复数四则运算(python解答)

本题要求编写程序,计算2个复数的和、差、积、商。

输入格式:

输入在一行中按照a1 b1 a2 b2的格式给出2个复数C1=a1+b1i和C2=a2+b2i的实部和虚部。题目保证C2不为0。

输出格式:

分别在4行中按照(a1+b1i) 运算符 (a2+b2i) = 结果的格式顺序输出2个复数的和、差、积、商,数字精确到小数点后1位。如果结果的实部或者虚部为0,则不输出。如果结果为0,则输出0.0。

输入样例1:

2 3.08 -2.04 5.06

输出样例1:

(2.0+3.1i) + (-2.0+5.1i) = 8.1i
(2.0+3.1i) - (-2.0+5.1i) = 4.0-2.0i
(2.0+3.1i) * (-2.0+5.1i) = -19.7+3.8i
(2.0+3.1i) / (-2.0+5.1i) = 0.4-0.6i

输入样例2:

1 1 -1 -1.01

输出样例2:

(1.0+1.0i) + (-1.0-1.0i) = 0.0
(1.0+1.0i) - (-1.0-1.0i) = 2.0+2.0i
(1.0+1.0i) * (-1.0-1.0i) = -2.0i
(1.0+1.0i) / (-1.0-1.0i) = -1.0

解答:

def symbol(num):
    if num >= 0:
        return "+{:.1f}".format(num)
    else:
        return "{:.1f}".format(num)


def summ(a1,b1,a2,b2):

    round1=round((a1+a2),1)
    round2=round((b1+b2),1)
    
    if round1!=0 and round2!=0:
        print('({}{}i) + ({}{}i) = {}{}i'.format(round(a1,1),symbol(b1),round(a2,1),symbol(b2),round(a1+a2,1),symbol(b1+b2)))
    elif round1==0 and round2==0:
        print('({}{}i) + ({}{}i) = 0.0'.format(round(a1,1),symbol(b1),round(a2,1),symbol(b2)))
    elif round1==0:
        print('({}{}i) + ({}{}i) = {}i'.format(round(a1,1),symbol(b1),round(a2,1),symbol(b2),round(b1+b2,1)))
    elif round2==0:
        print('({}{}i) + ({}{}i) = {}'.format(round(a1,1),symbol(b1),round(a2,1),symbol(b2),round(a1+a2,1)))

def minus(a1,b1,a2,b2):

    round3=round((a1-a2),1)
    round4=round((b1-b2),1)

    if round3!=0 and round4!=0:
        print('({}{}i) - ({}{}i) = {}{}i'.format(round(a1,1),symbol(b1),round(a2,1),symbol(b2),round(a1-a2,1),symbol(b1-b2)))
    elif round3==0 and round4!=0:
        print('({}{}i) - ({}{}i) = {}i'.format(round(a1,1),symbol(b1),round(a2,1),symbol(b2),round(b1-b2,1)))
    elif round4==0:
        print('({}{}i) - ({}{}i) = {}'.format(round(a1,1),symbol(b1),round(a2,1),symbol(b2),round(a1-a2,1)))

def mul(a1,b1,a2,b2):

    round5=round((a1*a2-b1*b2),1)
    round6=round((a1*b2+b1*a2),1)

    if round5!=0 and round6!=0:
        print('({}{}i) * ({}{}i) = {}{}i'.format(round(a1,1),symbol(b1),round(a2,1),symbol(b2),round(a1*a2-b1*b2,1),symbol(a1*b2+b1*a2)))
    elif round5==0:
        print('({}{}i) * ({}{}i) = {}i'.format(round(a1,1),symbol(b1),round(a2,1),symbol(b2),round(a1*b2+b1*a2,1)))
    elif round6==0:
        print('({}{}i) * ({}{}i) = {}'.format(round(a1,1),symbol(b1),round(a2,1),symbol(b2),round(a1*a2-b1*b2,1)))

def div(a1,b1,a2,b2):

    round7=round((a1*a2+b1*b2)/(a2*a2+b2*b2),1)
    round8=round((b1*a2-a1*b2)/(a2*a2+b2*b2),1)

    if round7!=0 and round8!=0:
        print('({}{}i) / ({}{}i) = {}{}i'.format(round(a1,1),symbol(b1),round(a2,1),symbol(b2),round((a1*a2+b1*b2)/(a2*a2+b2*b2),1),symbol((b1*a2-a1*b2)/(a2*a2+b2*b2))))
    elif round7==0:
        print('({}{}i) / ({}{}i) = {}i'.format(round(a1,1),symbol(b1),round(a2,1),symbol(b2),round((b1*a2-a1*b2)/(a2*a2+b2*b2),1)))
    elif round8==0:
        print('({}{}i) / ({}{}i) = {}'.format(round(a1,1),symbol(b1),round(a2,1),symbol(b2),round((a1*a2+b1*b2)/(a2*a2+b2*b2),1)))


a1, b1, a2, b2 = input().split(' ')
a1,b1,a2,b2 = float(a1),float(b1),float(a2),float(b2)

summ(a1,b1,a2,b2)
minus(a1,b1,a2,b2)
mul(a1,b1,a2,b2)
div(a1,b1,a2,b2)

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