Package cmplx
Overview
Package cmplx provides basic constants and mathematical functions for complex numbers. Special case handling conforms to the C99 standard Annex G IEC 60559-compatible complex arithmetic.
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 Abs
func Abs(x complex128) float64
Abs returns the absolute value (also called the modulus) of x.
Example
Code:
fmt.Printf("%.1f", cmplx.Abs(3+4i))
Output:
5.0
func Acos
func Acos(x complex128) complex128
Acos returns the inverse cosine of x.
func Acosh
func Acosh(x complex128) complex128
Acosh returns the inverse hyperbolic cosine of x.
func Asin
func Asin(x complex128) complex128
Asin returns the inverse sine of x.
func Asinh
func Asinh(x complex128) complex128
Asinh returns the inverse hyperbolic sine of x.
func Atan
func Atan(x complex128) complex128
Atan returns the inverse tangent of x.
func Atanh
func Atanh(x complex128) complex128
Atanh returns the inverse hyperbolic tangent of x.
func Conj
func Conj(x complex128) complex128
Conj returns the complex conjugate of x.
func Cos
func Cos(x complex128) complex128
Cos returns the cosine of x.
func Cosh
func Cosh(x complex128) complex128
Cosh returns the hyperbolic cosine of x.
func Cot
func Cot(x complex128) complex128
Cot returns the cotangent of x.
func Exp
func Exp(x complex128) complex128
Exp returns e**x, the base-e exponential of x.
Example
ExampleExp computes Euler's identity.
Code:
fmt.Printf("%.1f", cmplx.Exp(1i*math.Pi)+1)
Output:
(0.0+0.0i)
func Inf
func Inf() complex128
Inf returns a complex infinity, complex(+Inf, +Inf).
func IsInf
func IsInf(x complex128) bool
IsInf reports whether either real(x) or imag(x) is an infinity.
func IsNaN
func IsNaN(x complex128) bool
IsNaN reports whether either real(x) or imag(x) is NaN and neither is an infinity.
func Log
func Log(x complex128) complex128
Log returns the natural logarithm of x.
func Log10
func Log10(x complex128) complex128
Log10 returns the decimal logarithm of x.
func NaN
func NaN() complex128
NaN returns a complex “not-a-number” value.
func Phase
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
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
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
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
func Rect(r, θ float64) complex128
Rect returns the complex number x with polar coordinates r, θ.
func Sin
func Sin(x complex128) complex128
Sin returns the sine of x.
func Sinh
func Sinh(x complex128) complex128
Sinh returns the hyperbolic sine of x.
func Sqrt
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
func Tan(x complex128) complex128
Tan returns the tangent of x.
func Tanh
func Tanh(x complex128) complex128
Tanh returns the hyperbolic tangent of x.
© Google, Inc.
Licensed under the Creative Commons Attribution License 3.0.
http://golang.org/pkg/math/cmplx/