Imports #
"math"
"math"
"math"
"math"
"math"
"math"
"math"
"math"
"math"
"math"
"math"
"math/bits"
"math"
cmplx
Imports
Functions
Abs function #
Abs returns the absolute value (also called the modulus) of x.
func Abs(x complex128) float64Acos function #
Acos returns the inverse cosine of x.
func Acos(x complex128) complex128Acosh function #
Acosh returns the inverse hyperbolic cosine of x.
func Acosh(x complex128) complex128Asin function #
Asin returns the inverse sine of x.
func Asin(x complex128) complex128Asinh function #
Asinh returns the inverse hyperbolic sine of x.
func Asinh(x complex128) complex128Atan function #
Atan returns the inverse tangent of x.
func Atan(x complex128) complex128Atanh function #
Atanh returns the inverse hyperbolic tangent of x.
func Atanh(x complex128) complex128Conj function #
Conj returns the complex conjugate of x.
func Conj(x complex128) complex128Cos function #
Cos returns the cosine of x.
func Cos(x complex128) complex128Cosh function #
Cosh returns the hyperbolic cosine of x.
func Cosh(x complex128) complex128Cot function #
Cot returns the cotangent of x.
func Cot(x complex128) complex128Exp function #
Exp returns e**x, the base-e exponential of x.
func Exp(x complex128) complex128Inf function #
Inf returns a complex infinity, complex(+Inf, +Inf).
func Inf() complex128IsInf function #
IsInf reports whether either real(x) or imag(x) is an infinity.
func IsInf(x complex128) boolIsNaN function #
IsNaN reports whether either real(x) or imag(x) is NaN and neither is an infinity.
func IsNaN(x complex128) boolLog function #
Log returns the natural logarithm of x.
func Log(x complex128) complex128Log10 function #
Log10 returns the decimal logarithm of x.
func Log10(x complex128) complex128NaN function #
NaN returns a complex “not-a-number” value.
func NaN() complex128Phase function #
Phase returns the phase (also called the argument) of x. The returned value is in the range [-Pi, Pi].
func Phase(x complex128) float64Polar function #
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].
func Polar(x complex128) (r float64, θ float64)Pow function #
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 Pow(x complex128, y complex128) complex128Rect function #
Rect returns the complex number x with polar coordinates r, θ.
func Rect(r float64, θ float64) complex128Sin function #
Sin returns the sine of x.
func Sin(x complex128) complex128Sinh function #
Sinh returns the hyperbolic sine of x.
func Sinh(x complex128) complex128Sqrt function #
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 Sqrt(x complex128) complex128Tan function #
Tan returns the tangent of x.
func Tan(x complex128) complex128Tanh function #
Tanh returns the hyperbolic tangent of x.
func Tanh(x complex128) complex128reducePi function #
reducePi reduces the input argument x to the range (-Pi/2, Pi/2]. x must be greater than or equal to 0. For small arguments it uses Cody-Waite reduction in 3 float64 parts based on: "Elementary Function Evaluation: Algorithms and Implementation" Jean-Michel Muller, 1997. For very large arguments it uses Payne-Hanek range reduction based on: "ARGUMENT REDUCTION FOR HUGE ARGUMENTS: Good to the Last Bit" K. C. Ng et al, March 24, 1992.
func reducePi(x float64) float64sinhcosh function #
calculate sinh and cosh.
func sinhcosh(x float64) (sh float64, ch float64)tanSeries function #
Taylor series expansion for cosh(2y) - cos(2x)
func tanSeries(z complex128) float64Generated with Arrow