Math functions. More...

Functions
static double	ceilDecimal (double x, int decPow)
	rounds `x` up to the next decimal power 10 ^ `decPow` More...

static double	roundDecimal (double x, int decPow)
	rounds `x` to the next decimal power 10 ^ `decPow` More...

static double	intervalTransformation (double x, double left1, double right1, double left2, double right2)
	transforms point `x` of interval [left1,right1] into interval [left2,right2] More...

double	linear2log (double x)
	Transforms a number from linear to log10 scale. Avoids negative logarithms by adding 1. More...

double	log2linear (double x)
	Transforms a number from log10 to to linear scale. Subtracts the 1 added by linear2log(double) More...

bool	isOdd (UInt x)
	Returns true if the given integer is odd. More...

template<typename T >
T	round (T x)
	Rounds the value. More...

static bool	approximatelyEqual (double a, double b, double tol)
	Returns if `a` is approximately equal `b` , allowing a tolerance of `tol`. More...

template<typename T >
T	gcd (T a, T b)
	Returns the greatest common divisor (gcd) of two numbers by applying the Euclidean algorithm. More...

template<typename T >
T	gcd (T a, T b, T &u1, T &u2)
	Returns the greatest common divisor by applying the extended Euclidean algorithm (Knuth TAoCP vol. 2, p342). Calculates u1, u2 and u3 (which is returned) so that a * u1 + b * u2 = u3 = gcd(a, b, u1, u2) More...

Detailed Description

Math functions.

These functions are defined in OpenMS/MATH/MISC/MathFunctions.h .

Function Documentation

◆ approximatelyEqual()

static bool OpenMS::Math::approximatelyEqual	(	double	a,
		double	b,
		double	tol
	)

inlinestatic

Returns if a is approximately equal b , allowing a tolerance of tol.

◆ ceilDecimal()

static double OpenMS::Math::ceilDecimal	(	double	x,
		int	decPow
	)

inlinestatic

rounds x up to the next decimal power 10 ^ decPow

e.g.: (123.0 , 1)  => 130
      (123.0 , 2)  => 200
          (0.123 ,-2)  => 0.13 ( 10^-2 = 0.01 )

◆ gcd() [1/2]

T OpenMS::Math::gcd	(	T	a,
		T	b
	)

Returns the greatest common divisor (gcd) of two numbers by applying the Euclidean algorithm.

Parameters

a	A number.
b	A number.

Returns: The greatest common divisor.

See also: gcd(T a, T b, T& a1, T& b1)

References OpenMS::Constants::c.

Referenced by IntegerMassDecomposer< ValueType, DecompositionValueType >::fillExtendedResidueTable_().

◆ gcd() [2/2]

T OpenMS::Math::gcd	(	T	a,
		T	b,
		T &	u1,
		T &	u2
	)

Returns the greatest common divisor by applying the extended Euclidean algorithm (Knuth TAoCP vol. 2, p342). Calculates u1, u2 and u3 (which is returned) so that a * u1 + b * u2 = u3 = gcd(a, b, u1, u2)

Parameters

a	A number.
b	A number.
u1	A reference to the number to be returned (see the above formula).
u2	A reference to the number to be returned (see the above formula).

Returns: The greatest common divisor.

See also: gcd(T, T)

◆ intervalTransformation()

static double OpenMS::Math::intervalTransformation	(	double	x,
		double	left1,
		double	right1,
		double	left2,
		double	right2
	)

inlinestatic

transforms point x of interval [left1,right1] into interval [left2,right2]

◆ isOdd()

bool OpenMS::Math::isOdd ( UInt x )

inline

Returns true if the given integer is odd.

Referenced by MorphologicalFilter::filter().

◆ linear2log()

double OpenMS::Math::linear2log ( double x )

inline

Transforms a number from linear to log10 scale. Avoids negative logarithms by adding 1.

Parameters

x	The number to transform

◆ log2linear()

double OpenMS::Math::log2linear ( double x )

inline

Transforms a number from log10 to to linear scale. Subtracts the 1 added by linear2log(double)

Parameters

x	The number to transform

◆ round()

T OpenMS::Math::round ( T x )

Rounds the value.

Referenced by WindowMower::filterPeakSpectrumForTopNInJumpingWindow(), and ContinuousWaveletTransformNumIntegration::integrate_().

◆ roundDecimal()

static double OpenMS::Math::roundDecimal	(	double	x,
		int	decPow
	)

inlinestatic

rounds x to the next decimal power 10 ^ decPow

e.g.: (123.0 , 1)  => 120
      (123.0 , 2)  => 100