Interface RealFieldElement<T>

Type Parameters:

T - the type of the field elements

All Superinterfaces:

FieldElement<T>

All Known Implementing Classes:

Decimal64, DerivativeStructure, Dfp, DfpDec, SparseGradient

public interface RealFieldElement<T>
extends FieldElement<T>

Interface representing a real field.

Since:

3.2

See Also:

• FieldElement

Method Summary

Modifier and Type	Method	Description
T	abs()	absolute value.
T	acos()	Arc cosine operation.
T	acosh()	Inverse hyperbolic cosine operation.
T	add(double a)	'+' operator.
T	asin()	Arc sine operation.
T	asinh()	Inverse hyperbolic sine operation.
T	atan()	Arc tangent operation.
T	atan2(T x)	Two arguments arc tangent operation.
T	atanh()	Inverse hyperbolic tangent operation.
T	cbrt()	Cubic root.
T	ceil()	Get the smallest whole number larger than instance.
T	copySign(double sign)	Returns the instance with the sign of the argument.
T	copySign(T sign)	Returns the instance with the sign of the argument.
T	cos()	Cosine operation.
T	cosh()	Hyperbolic cosine operation.
T	divide(double a)	'÷' operator.
T	exp()	Exponential.
T	expm1()	Exponential minus 1.
T	floor()	Get the largest whole number smaller than instance.
double	getReal()	Get the real value of the number.
T	hypot(T y)	Returns the hypotenuse of a triangle with sides this and y - sqrt(this2 +y2) avoiding intermediate overflow or underflow.
T	linearCombination(double[] a, T[] b)	Compute a linear combination.
T	linearCombination(double a1, T b1, double a2, T b2)	Compute a linear combination.
T	linearCombination(double a1, T b1, double a2, T b2, double a3, T b3)	Compute a linear combination.
T	linearCombination(double a1, T b1, double a2, T b2, double a3, T b3, double a4, T b4)	Compute a linear combination.
T	linearCombination(T[] a, T[] b)	Compute a linear combination.
T	linearCombination(T a1, T b1, T a2, T b2)	Compute a linear combination.
T	linearCombination(T a1, T b1, T a2, T b2, T a3, T b3)	Compute a linear combination.
T	linearCombination(T a1, T b1, T a2, T b2, T a3, T b3, T a4, T b4)	Compute a linear combination.
T	log()	Natural logarithm.
T	log1p()	Shifted natural logarithm.
T	multiply(double a)	'×' operator.
T	pow(double p)	Power operation.
T	pow(int n)	Integer power operation.
T	pow(T e)	Power operation.
T	reciprocal()	Returns the multiplicative inverse of this element.
T	remainder(double a)	IEEE remainder operator.
T	remainder(T a)	IEEE remainder operator.
T	rint()	Get the whole number that is the nearest to the instance, or the even one if x is exactly half way between two integers.
T	rootN(int n)	Nth root.
long	round()	Get the closest long to instance value.
T	scalb(int n)	Multiply the instance by a power of 2.
T	signum()	Compute the signum of the instance.
T	sin()	Sine operation.
T	sinh()	Hyperbolic sine operation.
T	sqrt()	Square root.
T	subtract(double a)	'-' operator.
T	tan()	Tangent operation.
T	tanh()	Hyperbolic tangent operation.

Methods inherited from interface FieldElement

add, divide, getField, multiply, multiply, negate, subtract

Method Details

getReal

double getReal()

Get the real value of the number.

Returns:

real value

add

T add(double a)

'+' operator.

Parameters:

a - right hand side parameter of the operator

Returns:

this+a

subtract

T subtract(double a)

'-' operator.

Parameters:

a - right hand side parameter of the operator

Returns:

this-a

multiply

T multiply(double a)

'×' operator.

Parameters:

a - right hand side parameter of the operator

Returns:

this×a

divide

T divide(double a)

'÷' operator.

Parameters:

a - right hand side parameter of the operator

Returns:

this÷a

remainder

T remainder(double a)

IEEE remainder operator.

Parameters:

a - right hand side parameter of the operator

Returns:

this - n × a where n is the closest integer to this/a (the even integer is chosen for n if this/a is halfway between two integers)

remainder

T remainder(T a)
     throws DimensionMismatchException

IEEE remainder operator.

Parameters:

a - right hand side parameter of the operator

Returns:

this - n × a where n is the closest integer to this/a (the even integer is chosen for n if this/a is halfway between two integers)

Throws:

DimensionMismatchException - if number of free parameters or orders are inconsistent

abs

T abs()

absolute value.

Returns:

abs(this)

ceil

T ceil()

Get the smallest whole number larger than instance.

Returns:

ceil(this)

floor

T floor()

Get the largest whole number smaller than instance.

Returns:

floor(this)

rint

T rint()

Get the whole number that is the nearest to the instance, or the even one if x is exactly half way between two integers.

Returns:

a double number r such that r is an integer r - 0.5 ≤ this ≤ r + 0.5

round

long round()

Get the closest long to instance value.

Returns:

closest long to getReal()

signum

T signum()

Compute the signum of the instance. The signum is -1 for negative numbers, +1 for positive numbers and 0 otherwise

Returns:

-1.0, -0.0, +0.0, +1.0 or NaN depending on sign of a

copySign

T copySign(T sign)

Returns the instance with the sign of the argument. A NaN sign argument is treated as positive.

Parameters:

sign - the sign for the returned value

Returns:

the instance with the same sign as the sign argument

copySign

T copySign(double sign)

Returns the instance with the sign of the argument. A NaN sign argument is treated as positive.

Parameters:

sign - the sign for the returned value

Returns:

the instance with the same sign as the sign argument

scalb

T scalb(int n)

Multiply the instance by a power of 2.

Parameters:

n - power of 2

Returns:

this × 2ⁿ

hypot

T hypot(T y)
 throws DimensionMismatchException

Returns the hypotenuse of a triangle with sides this and y - sqrt(this² +y²) avoiding intermediate overflow or underflow.

• If either argument is infinite, then the result is positive infinity.
• else, if either argument is NaN then the result is NaN.

Parameters:

y - a value

Returns:

sqrt(this² +y²)

Throws:

DimensionMismatchException - if number of free parameters or orders are inconsistent

reciprocal

T reciprocal()

Returns the multiplicative inverse of this element.

Specified by:

reciprocal in interface FieldElement<T>

Returns:

the inverse of this.

sqrt

T sqrt()

Square root.

Returns:

square root of the instance

cbrt

T cbrt()

Cubic root.

Returns:

cubic root of the instance

rootN

T rootN(int n)

N^th root.

Parameters:

n - order of the root

Returns:

n^th root of the instance

pow

T pow(double p)

Power operation.

Parameters:

p - power to apply

Returns:

this^p

pow

T pow(int n)

Integer power operation.

Parameters:

n - power to apply

Returns:

thisⁿ

pow

T pow(T e)
throws DimensionMismatchException

Power operation.

Parameters:

e - exponent

Returns:

this^e

Throws:

DimensionMismatchException - if number of free parameters or orders are inconsistent

exp

T exp()

Exponential.

Returns:

exponential of the instance

expm1

T expm1()

Exponential minus 1.

Returns:

exponential minus one of the instance

log

T log()

Natural logarithm.

Returns:

logarithm of the instance

log1p

T log1p()

Shifted natural logarithm.

Returns:

logarithm of one plus the instance

cos

T cos()

Cosine operation.

Returns:

cos(this)

sin

T sin()

Sine operation.

Returns:

sin(this)

tan

T tan()

Tangent operation.

Returns:

tan(this)

acos

T acos()

Arc cosine operation.

Returns:

acos(this)

asin

T asin()

Arc sine operation.

Returns:

asin(this)

atan

T atan()

Arc tangent operation.

Returns:

atan(this)

atan2

T atan2(T x)
 throws DimensionMismatchException

Two arguments arc tangent operation.

Parameters:

x - second argument of the arc tangent

Returns:

atan2(this, x)

Throws:

DimensionMismatchException - if number of free parameters or orders are inconsistent

cosh

T cosh()

Hyperbolic cosine operation.

Returns:

cosh(this)

sinh

T sinh()

Hyperbolic sine operation.

Returns:

sinh(this)

tanh

T tanh()

Hyperbolic tangent operation.

Returns:

tanh(this)

acosh

T acosh()

Inverse hyperbolic cosine operation.

Returns:

acosh(this)

asinh

T asinh()

Inverse hyperbolic sine operation.

Returns:

asin(this)

atanh

T atanh()

Inverse hyperbolic tangent operation.

Returns:

atanh(this)

linearCombination

T linearCombination(T[] a,
 T[] b)
             throws DimensionMismatchException

Compute a linear combination.

Parameters:

a - Factors.

b - Factors.

Returns:

Σi ai bi.

Throws:

DimensionMismatchException - if arrays dimensions don't match

Since:

3.2

linearCombination

T linearCombination(double[] a,
 T[] b)
             throws DimensionMismatchException

Compute a linear combination.

Parameters:

a - Factors.

b - Factors.

Returns:

Σi ai bi.

Throws:

DimensionMismatchException - if arrays dimensions don't match

Since:

3.2

linearCombination

T linearCombination(T a1,
 T b1,
 T a2,
 T b2)

Compute a linear combination.

Parameters:

a1 - first factor of the first term

b1 - second factor of the first term

a2 - first factor of the second term

b2 - second factor of the second term

Returns:

a₁×b₁ + a₂×b₂

Since:

3.2

See Also:

• linearCombination(Object, Object, Object, Object, Object, Object)
• linearCombination(Object, Object, Object, Object, Object, Object, Object, Object)

linearCombination

T linearCombination(double a1,
 T b1,
 double a2,
 T b2)

Compute a linear combination.

Parameters:

a1 - first factor of the first term

b1 - second factor of the first term

a2 - first factor of the second term

b2 - second factor of the second term

Returns:

a₁×b₁ + a₂×b₂

Since:

3.2

See Also:

• linearCombination(double, Object, double, Object, double, Object)
• linearCombination(double, Object, double, Object, double, Object, double, Object)

linearCombination

T linearCombination(T a1,
 T b1,
 T a2,
 T b2,
 T a3,
 T b3)

Compute a linear combination.

Parameters:

a1 - first factor of the first term

b1 - second factor of the first term

a2 - first factor of the second term

b2 - second factor of the second term

a3 - first factor of the third term

b3 - second factor of the third term

Returns:

a₁×b₁ + a₂×b₂ + a₃×b₃

Since:

3.2

See Also:

• linearCombination(Object, Object, Object, Object)
• linearCombination(Object, Object, Object, Object, Object, Object, Object, Object)

linearCombination

T linearCombination(double a1,
 T b1,
 double a2,
 T b2,
 double a3,
 T b3)

Compute a linear combination.

Parameters:

a1 - first factor of the first term

b1 - second factor of the first term

a2 - first factor of the second term

b2 - second factor of the second term

a3 - first factor of the third term

b3 - second factor of the third term

Returns:

a₁×b₁ + a₂×b₂ + a₃×b₃

Since:

3.2

See Also:

• linearCombination(double, Object, double, Object)
• linearCombination(double, Object, double, Object, double, Object, double, Object)

linearCombination

T linearCombination(T a1,
 T b1,
 T a2,
 T b2,
 T a3,
 T b3,
 T a4,
 T b4)

Compute a linear combination.

Parameters:

a1 - first factor of the first term

b1 - second factor of the first term

a2 - first factor of the second term

b2 - second factor of the second term

a3 - first factor of the third term

b3 - second factor of the third term

a4 - first factor of the third term

b4 - second factor of the third term

Returns:

a₁×b₁ + a₂×b₂ + a₃×b₃ + a₄×b₄

Since:

3.2

See Also:

• linearCombination(Object, Object, Object, Object)
• linearCombination(Object, Object, Object, Object, Object, Object)

linearCombination

T linearCombination(double a1,
 T b1,
 double a2,
 T b2,
 double a3,
 T b3,
 double a4,
 T b4)

Compute a linear combination.

Parameters:

a1 - first factor of the first term

b1 - second factor of the first term

a2 - first factor of the second term

b2 - second factor of the second term

a3 - first factor of the third term

b3 - second factor of the third term

a4 - first factor of the third term

b4 - second factor of the third term

Returns:

a₁×b₁ + a₂×b₂ + a₃×b₃ + a₄×b₄

Since:

3.2

See Also:

• linearCombination(double, Object, double, Object)
• linearCombination(double, Object, double, Object, double, Object)