bettersine

Documentation

Index

• func Approximate(K, degree int, dev float64, scnum int) []complex128
• func Cos(x *big.Float) (cosx *big.Float)
• func NewFloat(x float64) (y *big.Float)
• func Sin(x *big.Float) (sinx *big.Float)

Functions

func Approximate

func Approximate(K, degree int, dev float64, scnum int) []complex128

Approximate computes a polynomial approximation of degree "degree" in Chevyshev basis of the function cos(2*pi*x/2^"scnum") in the range -"K" to "K" The nodes of the Chevyshev approximation are are located from -dev to +dev at each integer value between -K and -K

func Cos

func Cos(x *big.Float) (cosx *big.Float)

Cos is an iterative arbitrary precision computation of Cos(x) Iterative process with an error of ~10^{−0.60206*k} after k iterations. ref : Johansson, B. Tomas, An elementary algorithm to evaluate trigonometric functions to high precision, 2018

func NewFloat

func NewFloat(x float64) (y *big.Float)

NewFloat creates a new big.Float element with 1000 bits of precision

func Sin

func Sin(x *big.Float) (sinx *big.Float)

Sin is an iterative arbitrary precision computation of Sin(x)