ArithmeticGeometricMean returns the arithmetic–geometric mean of x and y with 2^precisions bits.

ChebyshevApproximation computes a Chebyshev approximation of the input function, for the range [-a, b] of degree degree.

ChebyshevEval evaluates y = sum Ti(x) * poly[i], where T0(x) = 1, T1(x) = (2x-a-b)/(b-a) and T{i+j}(x) = 2TiTj(x)- T|i-j|(x).

Cos is an iterative arbitrary precision computation of Cos(x) Iterative process with an error of ~10^{−0.60206*k} = (1/4)^k after k iterations.

DivRound sets the target i to round(a/b).

Exp returns exp(x) with 2^precisions bits.

Log return ln(x) with 2^precisions bits.

Log2ErfC returns log2(1 - erf(x)).

MonomialEval evaluates y = sum x^i * poly[i].

NewComplexMultiplier creates a new ComplexMultiplier.

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

NewInt allocates a new *big.Int.

NewPolynomial creates a new polynomial from the input parameters: basis: either `Monomial` or `Chebyshev` coeffs: []Complex128, []float64, []bignum.Complex or []big.Float interval: [2]float64{a, b} or *Interval.

NewRemez instantiates a new Remez algorithm from the provided parameters.

Pi returns Pi with prec bits of precision.

Pow returns x^y.

RandInt generates a random Int in [0, max-1].

Round returns round(x).

SinH returns hyperbolic sin(x) with 2^precisions bits.

TanH returns hyperbolic tan(x) with 2^precisions bits.

ToComplex takes a - complex32, complex128 - float32, float64, - int, int64, uint, uint64, - *big.Int, big.Int, - *big.Float, big.Float - *bignum.Complex, bignum.Complex and returns a *bignum.Complex set to the given precision.

ToComplexSlice takes a - []complex32, []complex128 - []float32, []float64, - []int, []int64, []uint, []uint64, - []big.Int - []big.Float - []bignum.Complex and returns a []bignum.Complex set to the given precision.

Chebyshev : T_(a+b) = 2 * T_a * T_b - T_(|a-b|).

Monomial : x^(a+b) = x^a * x^b.

ComplexMultiplier is a struct for the multiplication or division of two arbitrary precision complex numbers.

Interval is a struct storing information about interval for a polynomial approximation.

Remez implements the optimized multi-interval minimax approximation algorithm of Lee et al.

RemezParameters is a struct storing the parameters required to initialize the Remez algorithm.

Basis is a type for the polynomials basis.

Complex is a type for arbitrary precision complex number.