How to use complex number types for operations in Go language

Go language provides extensive support for complex types, including complex64 and complex128 types. Basic operations include addition, subtraction, multiplication, and division; advanced operations include modulus, conjugate, natural logarithm, and square root. Complex number operations have the same precedence as integer operations, and division uses fractional results. The real() and imag() functions can be used to obtain the real and imaginary parts of complex numbers.

Go language guide to complex number type operations

Introduction

Complex numbers are a common type in computer science and engineering A widely used mathematical concept consisting of real and imaginary parts. The Go language provides extensive support for complex number types, allowing developers to directly perform various complex number operations.

Plural type

The plural type is represented in Go language as complex64 or complex128. complex64 uses 32-bit floating point numbers, while complex128 uses 64-bit floating point numbers to represent the real and imaginary parts.

Basic operations

Go language supports basic complex number operations, including:

• Addition:
• Subtraction: -
• Multiplication: *
• Division: /

// 实战案例：复数加法
var a complex64 = 2 + 3i
var b complex64 = 4 - 5i
c := a + b
fmt.Println("实部：", real(c), "虚部：", imag(c)) // 输出：实部： 6 虚部： -2

// 实战案例：复数乘法
var a complex128 = 2.5 + 3.2i
var b complex128 = 4.1 - 5.7i
c := a * b
fmt.Println("实部：", real(c), "虚部：", imag(c)) // 输出：实部： 2.69 虚部： 28.7

Advanced operations

In addition to basic operations, Go language also supports advanced complex number operations, including:

• Modulo: Abs()
• Find the conjugate: Conj()
• Find the natural logarithm: Log()
• Find the square root: Sqrt()

// 实战案例：复数求模
var a complex64 = 3 + 4i
fmt.Println("模：", math.Abs(a)) // 输出：5

// 实战案例：复数求共轭
var a complex128 = 2.5 - 3.2i
fmt.Println("共轭：", conj(a)) // 输出：2.5+3.2i

Notes

• The priority of complex number operations is the same as that of integer operations.
• Complex division uses the result in fractional form. The
• real() and imag() functions can be used to obtain the real and imaginary parts of complex numbers.

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