object Field extends FieldFunctions[Field] with Serializable
- Source
- Field.scala
Linear Supertypes
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- Field
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- FieldFunctions
- MultiplicativeGroupFunctions
- EuclideanRingFunctions
- GCDRingFunctions
- RingFunctions
- MultiplicativeMonoidFunctions
- MultiplicativeSemigroupFunctions
- AdditiveGroupFunctions
- AdditiveMonoidFunctions
- AdditiveSemigroupFunctions
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Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def apply[A](implicit ev: Field[A]): Field[A]
- Annotations
- @inline()
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native()
- final def defaultFromBigInt[A](n: BigInt)(implicit ev: Field[A]): A
- Definition Classes
- RingFunctions
- final def defaultFromDouble[A](a: Double)(implicit ringA: Ring[A], mgA: MultiplicativeGroup[A]): A
Returns the given Double, understood as a rational number, in the provided (division) ring.
Returns the given Double, understood as a rational number, in the provided (division) ring.
This is implemented in terms of basic ops. However, this is probably significantly less efficient than can be done with a specific type. So, it is recommended to specialize this general method.
- Definition Classes
- RingFunctions
- def div[A](x: A, y: A)(implicit ev: Field[A]): A
- Definition Classes
- MultiplicativeGroupFunctions
- def emod[A](a: A, b: A)(implicit ev: Field[A]): A
- Definition Classes
- EuclideanRingFunctions
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- def equot[A](a: A, b: A)(implicit ev: Field[A]): A
- Definition Classes
- EuclideanRingFunctions
- def equotmod[A](a: A, b: A)(implicit ev: Field[A]): (A, A)
- Definition Classes
- EuclideanRingFunctions
- def euclideanFunction[A](a: A)(implicit ev: Field[A]): BigInt
- Definition Classes
- EuclideanRingFunctions
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable])
- def fromBigInt[A](n: BigInt)(implicit ev: Field[A]): A
- Definition Classes
- RingFunctions
- def fromDouble[A](n: Double)(implicit ev: Field[A]): A
- Definition Classes
- FieldFunctions
- def fromInt[A](n: Int)(implicit ev: Field[A]): A
- Definition Classes
- RingFunctions
- def gcd[A](a: A, b: A)(implicit ev: Field[A], eqA: Eq[A]): A
- Definition Classes
- GCDRingFunctions
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- def isAdditiveCommutative[A](implicit ev: Field[A]): Boolean
- Definition Classes
- AdditiveSemigroupFunctions
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- def isMultiplicativeCommutative[A](implicit ev: Field[A]): Boolean
- Definition Classes
- MultiplicativeSemigroupFunctions
- def isOne[A](a: A)(implicit ev0: Field[A], ev1: Eq[A]): Boolean
- Definition Classes
- MultiplicativeMonoidFunctions
- def isZero[A](a: A)(implicit ev0: Field[A], ev1: Eq[A]): Boolean
- Definition Classes
- AdditiveMonoidFunctions
- def lcm[A](a: A, b: A)(implicit ev: Field[A], eqA: Eq[A]): A
- Definition Classes
- GCDRingFunctions
- def minus[A](x: A, y: A)(implicit ev: Field[A]): A
- Definition Classes
- AdditiveGroupFunctions
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def negate[A](x: A)(implicit ev: Field[A]): A
- Definition Classes
- AdditiveGroupFunctions
- final def notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native()
- final def notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native()
- def one[A](implicit ev: Field[A]): A
- Definition Classes
- MultiplicativeMonoidFunctions
- def plus[A](x: A, y: A)(implicit ev: Field[A]): A
- Definition Classes
- AdditiveSemigroupFunctions
- def pow[A](a: A, n: Int)(implicit ev: Field[A]): A
- Definition Classes
- MultiplicativeSemigroupFunctions
- def product[A](as: TraversableOnce[A])(implicit ev: Field[A]): A
- Definition Classes
- MultiplicativeMonoidFunctions
- Annotations
- @nowarn()
- def reciprocal[A](x: A)(implicit ev: Field[A]): A
- Definition Classes
- MultiplicativeGroupFunctions
- def sum[A](as: TraversableOnce[A])(implicit ev: Field[A]): A
- Definition Classes
- AdditiveMonoidFunctions
- Annotations
- @nowarn()
- def sumN[A](a: A, n: Int)(implicit ev: Field[A]): A
- Definition Classes
- AdditiveSemigroupFunctions
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def times[A](x: A, y: A)(implicit ev: Field[A]): A
- Definition Classes
- MultiplicativeSemigroupFunctions
- def toString(): String
- Definition Classes
- AnyRef → Any
- def tryProduct[A](as: TraversableOnce[A])(implicit ev: Field[A]): Option[A]
- Definition Classes
- MultiplicativeSemigroupFunctions
- Annotations
- @nowarn()
- def trySum[A](as: TraversableOnce[A])(implicit ev: Field[A]): Option[A]
- Definition Classes
- AdditiveSemigroupFunctions
- Annotations
- @nowarn()
- final def wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException]) @native()
- def zero[A](implicit ev: Field[A]): A
- Definition Classes
- AdditiveMonoidFunctions