Std.Math

The Std.Math namespace contains the following items:

Name	Description
AbsComplex	Returns the absolute value of a complex number of type Complex.
AbsComplexPolar	Returns the absolute value of a complex number of type ComplexPolar.
AbsD	Returns the absolute value of a double-precision floating-point number.
AbsI	Returns the absolute value of an integer.
AbsL	Returns the absolute value of a big integer.
AbsSquaredComplex	Returns the squared absolute value of a complex number of type Complex.
AbsSquaredComplexPolar	Returns the squared absolute value of a complex number of type ComplexPolar.
ApproximateFactorial	Returns an approximate factorial of a given number.
ArcCos	Returns the angle whose cosine is the specified number.
ArcCosh	Computes the inverse hyperbolic cosine of a number.
ArcSin	Returns the angle whose sine is the specified number.
ArcSinh	Computes the inverse hyperbolic sine of a number.
ArcTan	Returns the angle whose tangent is the specified number.
ArcTan2	Returns the angle whose tangent is the quotient of two specified numbers.
ArcTanh	Computes the inverse hyperbolic tangent of a number.
ArgComplex	Returns the phase of a complex number of type Complex.
ArgComplexPolar	Returns the phase of a complex number of type ComplexPolar.
Binom	Returns the approximate binomial coefficient of two integers.
BitSizeI	For a non-negative integer a, returns the number of bits required to represent a. NOTE: This function returns the smallest n such that a < 2^n.
BitSizeL	For a non-negative integer a, returns the number of bits required to represent a. NOTE: This function returns the smallest n such that a < 2^n.
Ceiling	Returns the smallest integer greater than or equal to the specified number. For example: Ceiling(3.1) = 4; Ceiling(-3.7) = -3
Complex	Represents a complex number by its real and imaginary components. The first element of the tuple is the real component, the second one - the imaginary component.
ComplexPolar	Represents a complex number in polar form. The polar representation of a complex number is c = r⋅𝑒^(t𝑖).
ContinuedFractionConvergentI	Finds the continued fraction convergent closest to fraction with the denominator less or equal to denominatorBound Using process similar to this: https://nrich.maths.org/1397
ContinuedFractionConvergentL	Finds the continued fraction convergent closest to fraction with the denominator less or equal to denominatorBound Using process similar to this: https://nrich.maths.org/1397
Cos	Returns the cosine of the specified angle.
Cosh	Returns the hyperbolic cosine of the specified angle.
DivRemI	Divides one Integer value by another, returns the result and the remainder as a tuple.
DivRemL	Divides one BigInteger value by another, returns the result and the remainder as a tuple.
DividedByC	Returns the quotient of two inputs of type Complex.
DividedByCP	Returns the quotient of two inputs of type ComplexPolar.
E	Returns a double-precision approximation of the mathematical constant 𝒆 ≈ 2.7182818284590452354
ExpModI	Returns an integer raised to a given power, with respect to a given modulus. I.e. (expBase^power) % modulus.
ExpModL	Returns an integer raised to a given power, with respect to a given modulus. I.e. (expBase^power) % modulus.
ExtendedGreatestCommonDivisorI	Returns a tuple (u,v) such that ua+vb=GCD(a,b) Note: GCD is always positive except that GCD(0,0)=0.
ExtendedGreatestCommonDivisorL	Returns a tuple (u,v) such that ua+vb=GCD(a,b) Note: GCD is always positive except that GCD(0,0)=0.
FactorialI	Returns the factorial of a given number.
FactorialL	Returns the factorial of a given number.
Floor	Returns the largest integer less than or equal to the specified number. For example: Floor(3.7) = 3; Floor(-3.1) = -4
GreatestCommonDivisorI	Computes the greatest common divisor of two integers. Note: GCD is always positive except that GCD(0,0)=0.
GreatestCommonDivisorL	Computes the greatest common divisor of two integers. Note: GCD is always positive except that GCD(0,0)=0.
HammingWeightI	Returns the number of 1 bits in the binary representation of integer n.
InverseModI	Returns the multiplicative inverse of a modular integer.
InverseModL	Returns the multiplicative inverse of a modular integer.
IsCoprimeI	Returns if two integers are co-prime.
IsCoprimeL	Returns if two integers are co-prime.
IsInfinite	Returns whether a given floating-point value is either positive or negative infinity.
IsNaN	Returns whether a given floating-point value is not a number (i.e. is NaN).
LargestFixedPoint	Returns the largest representable number for specific fixed point dimensions.
Lg	Computes the base-2 logarithm of a number.
Log	Returns the natural (base e) logarithm of a specified number.
Log10	Returns the base-10 logarithm of a specified number.
LogFactorialD	Returns the approximate natural logarithm of the factorial of a given integer.
LogGammaD	Returns the natural logarithm of the gamma function (aka the log-gamma function).
LogOf2	Returns a double-precision approximation of the constant ㏑2 ≈ 0.6931471805599453
Max	Given an array of integers, returns the largest element.
MaxD	Returns the larger of two specified numbers.
MaxI	Returns the larger of two specified numbers.
MaxL	Returns the larger of two specified numbers.
Min	Given an array of integers, returns the smallest element.
MinD	Returns the smaller of two specified numbers.
MinI	Returns the smaller of two specified numbers.
MinL	Returns the smaller of two specified numbers.
MinusC	Returns the difference between two inputs of type Complex.
MinusCP	Returns the difference between two inputs of type ComplexPolar.
ModulusI	Computes the canonical residue of value modulo modulus. The result is always in the range 0..modulus-1 even for negative numbers.
ModulusL	Computes the canonical residue of value modulo modulus. The result is always in the range 0..modulus-1 even for negative numbers.
NegationC	Returns the unary negation of an input of type Complex.
NegationCP	Returns the unary negation of an input of type ComplexPolar
PI	Returns a double-precision approximation of the mathematical constant 𝝅 ≈ 3.14159265358979323846
PNorm	Returns the L(p) norm of a vector of Doubles. That is, given an array x of type Double[], this returns the p-norm |x̄|ₚ= (∑(xᵢ)ᵖ)¹ᐟᵖ.
PNormalized	Normalizes a vector of Doubles in the L(p) norm. That is, given an array x of type Double[], this returns an array where all elements are divided by the p-norm |x̄|ₚ. Function leaves array with norm 0 unchanged.
PlusC	Returns the sum of two inputs of type Complex.
PlusCP	Returns the sum of two inputs of type ComplexPolar.
PowC	Returns a number raised to a given power of type Complex. Note that this is a multi-valued function, but only one value is returned.
PowCP	Returns a number raised to a given power of type ComplexPolar. Note that this is a multi-valued function, but only one value is returned.
RealMod	Computes the modulus between two real numbers.
Round	Returns the nearest integer to the specified number. Half is rounded towards zero. For example: Round(3.7) = 4; Round(-3.7) = -4; Round(3.5) = 3;
RoundHalfAwayFromZero	Returns the nearest integer to the specified number. Half is rounded away from zero. For example: RoundHalfAwayFromZero(-3.7) = -4, RoundHalfAwayFromZero(3.5) = 4;
SignD	Returns -1, 0 or +1 that indicates the sign of a number.
SignI	Returns -1, 0 or +1 that indicates the sign of a number.
SignL	Returns -1, 0 or +1 that indicates the sign of a number.
Sin	Returns the sine of the specified angle.
Sinh	Returns the hyperbolic sine of the specified angle.
SmallestFixedPoint	Returns the smallest representable number for specific fixed point dimensions.
Sqrt	Returns the square root of a specified number.
SquaredNorm	Returns the squared 2-norm of a vector.
Tan	Returns the tangent of the specified angle.
Tanh	Returns the hyperbolic tangent of the specified angle.
TimesC	Returns the product of two inputs of type Complex.
TimesCP	Returns the product of two inputs of type ComplexPolar.
TrailingZeroCountI	For a non-zero integer a, returns the number of trailing zero bits in the binary representation of a.
TrailingZeroCountL	For a non-zero integer a, returns the number of trailing zero bits in the binary representation of a.
Truncate	Returns the integral part of a number. For example: Truncate(3.7) = 3; Truncate(-3.7) = -3