Uses of Class
de.tilman_neumann.jml.precision.Scale

Packages that use Scale

Package	Description
de.tilman_neumann.jml
de.tilman_neumann.jml.base
de.tilman_neumann.jml.hyperbolic
de.tilman_neumann.jml.powers
de.tilman_neumann.jml.precision
de.tilman_neumann.jml.roots
de.tilman_neumann.jml.transcendental

Uses of Scale in de.tilman_neumann.jml

Methods in de.tilman_neumann.jml with parameters of type Scale

Modifier and Type	Method	Description
static BigDecimal	HarmonicNumbers.harmonic_lowerBound(BigInteger n, Scale scale)	Lower bound for the harmonic number H_n.
static BigDecimal	HarmonicNumbers.harmonic_upperBound(BigInteger n, Scale scale)	Upper bound for the harmonic number H_n.

Uses of Scale in de.tilman_neumann.jml.base

Methods in de.tilman_neumann.jml.base with parameters of type Scale

Modifier and Type	Method	Description
static BigDecimal	BigDecimalMath.add(BigDecimal a, BigRational b, Scale resultScale)	Computes the sum of a and b accurate to the given resultScale. Scale is the natural accuracy measure for additions because for each argument, each piece of it (bit, digit, ...) makes its own independent contribution to the result scale.
static BigDecimal	BigDecimalMath.divide(BigDecimal a, BigDecimal b, Scale resultScale)	Division with guaranteed precision.
static BigDecimal	BigDecimalMath.divide(BigDecimal a, BigInteger b, Scale resultScale)	Division by an integer.
static BigDecimal	BigDecimalMath.multiply(BigDecimal a, BigRational b, Scale resultScale)
BigDecimal	BigRational.toBigDecimal(Scale decPrec)	Converts this to a BigDecimal with decPrec digits precision.
String	BigRational.toString(Scale decPrec)	Converts this into a string with the given decimal digits precision.

Uses of Scale in de.tilman_neumann.jml.hyperbolic

Methods in de.tilman_neumann.jml.hyperbolic with parameters of type Scale

Modifier and Type	Method	Description
static BigDecimal	ArcCosH.acosh1(BigDecimal x, Scale scale)	Computes the "++" branch of acosh(x) = + ln(x + sqrt(x^2-1)).
static BigDecimal	ArcCosH.acoshAbs(BigDecimal x, Scale scale)	The absolute value of acosh(x) implemented by ln() formula.
static BigDecimal	ArcCotH.acoth(BigDecimal x, Scale scale)	acoth(x) implemented by ln() formula.
static BigDecimal	ArcSinH.asinh(BigDecimal x, Scale scale)	y = asinh(x) implemented by ln() formula, for all real x.
static BigDecimal	ArcTanH.atanh(BigDecimal x, Scale scale)	atanh(x) implemented by ln() formula.

Uses of Scale in de.tilman_neumann.jml.powers

Methods in de.tilman_neumann.jml.powers with parameters of type Scale

Modifier and Type	Method	Description
static BigDecimal	Pow.pow(BigDecimal x, int n, Scale resultScale)

Uses of Scale in de.tilman_neumann.jml.precision

Methods in de.tilman_neumann.jml.precision that return Scale

Modifier and Type	Method	Description
Scale	Scale.add(int n)
Scale	Scale.multiply(int multiplier)
static Scale	Scale.of(double x)
static Scale	Scale.of(float x)
static Scale	Scale.of(BigDecimal x)
static Scale	Scale.valueOf(int digits)

Methods in de.tilman_neumann.jml.precision with parameters of type Scale

Modifier and Type	Method	Description
int	Scale.compareTo(Scale other)

Uses of Scale in de.tilman_neumann.jml.roots

Methods in de.tilman_neumann.jml.roots with parameters of type Scale

Modifier and Type	Method	Description
static BigDecimal	RootsReal.ithRoot(BigDecimal x, int i, Scale resultScale)	Compute i.th root of x.
static BigDecimal	RootsReal.ithRoot(BigDecimal x, int i, BigDecimal guess, Scale resultScale)	Compute the i.th root with initial guess.
static BigDecimal	SqrtReal.sqrt(BigDecimal x, Scale resultScale)	Compute square root.
static BigDecimal	SqrtReal.sqrt(BigDecimal x, BigDecimal guess, Scale resultScale)	Compute square root with initial guess.

Uses of Scale in de.tilman_neumann.jml.transcendental

Methods in de.tilman_neumann.jml.transcendental with parameters of type Scale

Modifier and Type	Method	Description
static BigDecimal	Agm.agm(BigDecimal a, BigDecimal b, Scale outScale)	Arithmetic-geometric mean of a and b.
static BigDecimal	Exp.exp(BigDecimal w, Scale outScale)	Compute exp(w) using a more powerful argument reduction.
static BigDecimal	EulerConstant.gamma(Scale outScale)
static BigDecimal	Ln.ln(BigDecimal x, Scale outScale)	Compute the natural logarithm of x, for x>0.
static BigDecimal	Ln.ln2(Scale outScale)	Faster ln2 implementation, computing the series expansion of 2^(1/k) for some optimally chosen k.
static BigDecimal	Pi.pi(Scale scale)	Compute Pi using the approximation formula found by Plouffe and the Borwein brothers also used in mpfr.