Quaternion

io.github.edadma.numbers.Quaternion
abstract class Quaternion[T, F, Q <: Quaternion[T, F, Q, P], P <: Quaternion[F, F, P, P]] extends Number

Attributes

Graph
Supertypes
class Number
trait Serializable
class Object
trait Matchable
class Any
Known subtypes

Members list

Value members

Abstract methods

def ^(e: Int): Q
def ^(e: BigInt): Q
protected def _acos(a: F): F
protected def _atan2(y: F, x: F): F
protected def _ceil(a: F): F
protected def _cos(a: F): F
protected def _exp(a: F): F
protected def _floor(a: F): F
protected def _ln(a: F): F
protected def _pow(a: F, b: F): F
protected def _sin(a: F): F
protected def _sqrt(a: F): F
protected def divide(a: T, b: T): T
protected def fdivide(a: F, b: F): F
protected def fmul(a: F, b: F): F
protected def fractional(a: T): F
def i: Q
def one: Q
protected def promote(a: F, b: F, c: F, d: F): P
protected def promote: P
protected def quaternion(a: T, b: T, c: T, d: T): Q
def zero: Q

Concrete methods

def *(that: Q): Q
def *(that: T): Q
def *(that: Int): Q
def +(that: Q): Q
def +(that: T): Q
def +(that: Int): Q
def -(that: Quaternion[T, F, Q, P]): Q
def -(that: T): Q
def -(that: Int): Q
def /(that: Q): Q
def /(that: T): Q
def /(that: Int): Q
def \(that: F): P
def ^(that: Q): P
def ^(p: F): P
def acos: P
def acosh: P
def asin: P
def asinh: P
def atan: P
def atanh: P
def ceil: P
def conj: Q
def cos: P
def cosh: P
override def equals(o: Any): Boolean

Compares the receiver object (this) with the argument object (that) for equivalence.

Compares the receiver object (this) with the argument object (that) for equivalence.

Any implementation of this method should be an equivalence relation:

  • It is reflexive: for any instance x of type Any, x.equals(x) should return true.
  • It is symmetric: for any instances x and y of type Any, x.equals(y) should return true if and only if y.equals(x) returns true.
  • It is transitive: for any instances x, y, and z of type Any if x.equals(y) returns true and y.equals(z) returns true, then x.equals(z) should return true.

If you override this method, you should verify that your implementation remains an equivalence relation. Additionally, when overriding this method it is usually necessary to override hashCode to ensure that objects which are "equal" (o1.equals(o2) returns true) hash to the same scala.Int. (o1.hashCode.equals(o2.hashCode)).

Value parameters

that

the object to compare against this object for equality.

Attributes

Returns

true if the receiver object is equivalent to the argument; false otherwise.

Definition Classes
Any
def exp: P
def floor: P
override def hashCode: Int

Calculates a hash code value for the object.

Calculates a hash code value for the object.

The default hashing algorithm is platform dependent.

Note that it is allowed for two objects to have identical hash codes (o1.hashCode.equals(o2.hashCode)) yet not be equal (o1.equals(o2) returns false). A degenerate implementation could always return 0. However, it is required that if two objects are equal (o1.equals(o2) returns true) that they have identical hash codes (o1.hashCode.equals(o2.hashCode)). Therefore, when overriding this method, be sure to verify that the behavior is consistent with the equals method.

Attributes

Returns

the hash code value for this object.

Definition Classes
Any
def inverse: Q
def onef: F
def onet: T
def pow(p: F): P
protected def promote(a: F): P
protected def quaternion(a: T): Q
def sin: P
def sinh: P
def sqrt: P
def tan: P
def tanh: P
override def toString: String

Returns a string representation of the object.

Returns a string representation of the object.

The default representation is platform dependent.

Attributes

Returns

a string representation of the object.

Definition Classes
Any
def unary_-: Q
protected def unsup: Nothing
def zerof: F
def zerot: T

Inherited methods

def byteValue(): Byte

Attributes

Inherited from:
Number
def shortValue(): Short

Attributes

Inherited from:
Number

Inherited and Abstract methods

def doubleValue(): Double

Attributes

Inherited from:
Number
def floatValue(): Float

Attributes

Inherited from:
Number
def intValue(): Int

Attributes

Inherited from:
Number
def longValue(): Long

Attributes

Inherited from:
Number

Abstract fields

val a: T
val b: T
val c: T
val d: T

Concrete fields

lazy val abs: F
lazy val absv: F
lazy val arg: F
lazy val im: Q
lazy val ln: P
lazy val norm: T
lazy val sgn: P