math/cmplx
Package cmplx
Overview
Package cmplx provides basic constants and mathematical functions for complex numbers.
Index
Package files
abs.go asin.go conj.go exp.go isinf.go isnan.go log.go phase.go polar.go pow.go rect.go sin.go sqrt.go tan.go
func AbsSource
func Abs(x complex128) float64
Abs returns the absolute value (also called the modulus) of x.
Example
package main import ( "fmt" "math/cmplx" ) func main() { fmt.Printf("%.1f", cmplx.Abs(3+4i)) }
func AcosSource
func Acos(x complex128) complex128
Acos returns the inverse cosine of x.
func AcoshSource
func Acosh(x complex128) complex128
Acosh returns the inverse hyperbolic cosine of x.
func AsinSource
func Asin(x complex128) complex128
Asin returns the inverse sine of x.
func AsinhSource
func Asinh(x complex128) complex128
Asinh returns the inverse hyperbolic sine of x.
func AtanSource
func Atan(x complex128) complex128
Atan returns the inverse tangent of x.
func AtanhSource
func Atanh(x complex128) complex128
Atanh returns the inverse hyperbolic tangent of x.
func ConjSource
func Conj(x complex128) complex128
Conj returns the complex conjugate of x.
func CosSource
func Cos(x complex128) complex128
Cos returns the cosine of x.
func CoshSource
func Cosh(x complex128) complex128
Cosh returns the hyperbolic cosine of x.
func CotSource
func Cot(x complex128) complex128
Cot returns the cotangent of x.
func ExpSource
func Exp(x complex128) complex128
Exp returns e**x, the base-e exponential of x.
Example
ExampleExp computes Euler's identity.
package main import ( "fmt" "math" "math/cmplx" ) func main() { fmt.Printf("%.1f", cmplx.Exp(1i*math.Pi)+1) }
func InfSource
func Inf() complex128
Inf returns a complex infinity, complex(+Inf, +Inf).
func IsInfSource
func IsInf(x complex128) bool
IsInf returns true if either real(x) or imag(x) is an infinity.
func IsNaNSource
func IsNaN(x complex128) bool
IsNaN returns true if either real(x) or imag(x) is NaN and neither is an infinity.
func LogSource
func Log(x complex128) complex128
Log returns the natural logarithm of x.
func Log10Source
func Log10(x complex128) complex128
Log10 returns the decimal logarithm of x.
func NaNSource
func NaN() complex128
NaN returns a complex “not-a-number” value.
func PhaseSource
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 PolarSource
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].
Example
package main import ( "fmt" "math" "math/cmplx" ) func main() { r, theta := cmplx.Polar(2i) fmt.Printf("r: %.1f, θ: %.1f*π", r, theta/math.Pi) }
func PowSource
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 RectSource
func Rect(r, θ float64) complex128
Rect returns the complex number x with polar coordinates r, θ.
func SinSource
func Sin(x complex128) complex128
Sin returns the sine of x.
func SinhSource
func Sinh(x complex128) complex128
Sinh returns the hyperbolic sine of x.
func SqrtSource
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 TanSource
func Tan(x complex128) complex128
Tan returns the tangent of x.
func TanhSource
func Tanh(x complex128) complex128
Tanh returns the hyperbolic tangent of x.
© Google, Inc.
Licensed under the Creative Commons Attribution License 3.0.
https://golang.org/pkg/math/cmplx/