用 C 語言編寫程式以相加兩個複數
已知有兩個複數 a1+ ib1 和 a2 + ib2,任務是相加這兩個複數。
複數是可以表達為“a+ib”形式的數,其中“a”和“b”是實數,i 是虛數,即關於表示式 𝑥 2 = −1 的解,因為沒有實數滿足該方程,所以稱其為虛數。
輸入
a1 = 3, b1 = 8 a2 = 5, b2 = 2
輸出
Complex number 1: 3 + i8 Complex number 2: 5 + i2 Sum of the complex numbers: 8 + i10
解釋
(3+i8) + (5+i2) = (3+5) + i(8+2) = 8 + i10
輸入
a1 = 5, b1 = 3 a2 = 2, b2 = 2
輸出
Complex number 1: 5 + i3 Complex number 2: 2 + i2 Sum of the complex numbers: 7 + i5
解釋
(5+i3) + (2+i2) = (5+2) + i(3+2) = 7 + i5
用於解決問題的如下方法
首先宣告一個用於儲存實數和虛數的結構。
接收輸入,並相加所有複數的實數和虛數。
演算法
Start
Decalre a struct complexnum with following elements
1. real
2. img
In function complexnum sumcomplex(complexnum a, complexnum b)
Step 1→ Declare a signature struct complexnum c
Step 2→ Set c.real as a.real + b.real
Step 3→ Set c.img as a.img + b.img
Step 4→ Return c
In function int main()
Step 1→ Declare and initialize complexnum a = {1, 2} and b = {4, 5}
Step 2→ Declare and set complexnum c as sumcomplex(a, b)
Step 3→ Print the first complex number
Step 4→ Print the second complex number
Step 5→ Print the sum of both in c.real, c.img
Stop示例
#include <stdio.h>
//structure for storing the real and imaginery
//values of complex number
struct complexnum{
int real, img;
};
complexnum sumcomplex(complexnum a, complexnum b){
struct complexnum c;
//Adding up two complex numbers
c.real = a.real + b.real;
c.img = a.img + b.img;
return c;
}
int main(){
struct complexnum a = {1, 2};
struct complexnum b = {4, 5};
struct complexnum c = sumcomplex(a, b);
printf("Complex number 1: %d + i%d
", a.real, a.img);
printf("Complex number 2: %d + i%d
", b.real, b.img);
printf("Sum of the complex numbers: %d + i%d
", c.real, c.img);
return 0;
}輸出
如果執行以上程式碼,會生成以下輸出 −
Complex number 1: 1 + i2 Complex number 2: 4 + i5 Sum of the complex numbers: 5 + i7
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