import "math/cmplx"
Package cmplx provides basic constants and mathematical functions for complex numbers.
func Abs(x complex128) float64
Abs returns the absolute value (also called the modulus) of x.
Code:
fmt.Printf("%.1f", cmplx.Abs(3+4i))
Output:
5.0
func Acos(x complex128) complex128
Acos returns the inverse cosine of x.
func Acosh(x complex128) complex128
Acosh returns the inverse hyperbolic cosine of x.
func Asin(x complex128) complex128
Asin returns the inverse sine of x.
func Asinh(x complex128) complex128
Asinh returns the inverse hyperbolic sine of x.
func Atan(x complex128) complex128
Atan returns the inverse tangent of x.
func Atanh(x complex128) complex128
Atanh returns the inverse hyperbolic tangent of x.
func Conj(x complex128) complex128
Conj returns the complex conjugate of x.
func Cos(x complex128) complex128
Cos returns the cosine of x.
func Cosh(x complex128) complex128
Cosh returns the hyperbolic cosine of x.
func Cot(x complex128) complex128
Cot returns the cotangent of x.
func Exp(x complex128) complex128
Exp returns e**x, the base-e exponential of x.
ExampleExp computes Euler's identity.
Code:
fmt.Printf("%.1f", cmplx.Exp(1i*math.Pi)+1)
Output:
(0.0+0.0i)
func Inf() complex128
Inf returns a complex infinity, complex(+Inf, +Inf).
func IsInf(x complex128) bool
IsInf reports whether either real(x) or imag(x) is an infinity.
func IsNaN(x complex128) bool
IsNaN reports whether either real(x) or imag(x) is NaN and neither is an infinity.
func Log(x complex128) complex128
Log returns the natural logarithm of x.
func Log10(x complex128) complex128
Log10 returns the decimal logarithm of x.
func NaN() complex128
NaN returns a complex ``not-a-number'' value.
func Phase(x complex128) float64
Phase returns the phase (also called the argument) of x. The returned value is in the range [-Pi, Pi].
func Polar(x complex128) (r, θ float64)
Polar returns the absolute value r and phase θ of x, such that x = r * e**θi. The phase is in the range [-Pi, Pi].
Code:
r, theta := cmplx.Polar(2i)
fmt.Printf("r: %.1f, θ: %.1f*π", r, theta/math.Pi)
Output:
r: 2.0, θ: 0.5*π
func Pow(x, y complex128) complex128
Pow returns x**y, the base-x exponential of y. For generalized compatibility with math.Pow:
Pow(0, ±0) returns 1+0i Pow(0, c) for real(c)<0 returns Inf+0i if imag(c) is zero, otherwise Inf+Inf i.
func Rect(r, θ float64) complex128
Rect returns the complex number x with polar coordinates r, θ.
func Sin(x complex128) complex128
Sin returns the sine of x.
func Sinh(x complex128) complex128
Sinh returns the hyperbolic sine of x.
func Sqrt(x complex128) complex128
Sqrt returns the square root of x. The result r is chosen so that real(r) ≥ 0 and imag(r) has the same sign as imag(x).
func Tan(x complex128) complex128
Tan returns the tangent of x.
func Tanh(x complex128) complex128
Tanh returns the hyperbolic tangent of x.