class Tuple15Ring[A, B, C, D, E, F, G, H, I, J, K, L, M, N, O] extends Tuple15Group[A, B, C, D, E, F, G, H, I, J, K, L, M, N, O] with Ring[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]
Combine 15 rings into a product ring
Linear Supertypes
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Inherited
- Tuple15Ring
- Ring
- Ring
- Rng
- AdditiveCommutativeGroup
- Rig
- MultiplicativeMonoid
- Semiring
- MultiplicativeSemigroup
- AdditiveCommutativeMonoid
- AdditiveCommutativeSemigroup
- CommutativeGroup
- CommutativeMonoid
- CommutativeSemigroup
- Tuple15Group
- Group
- AdditiveGroup
- Group
- Tuple15Monoid
- Monoid
- AdditiveMonoid
- Monoid
- Tuple15Semigroup
- Semigroup
- AdditiveSemigroup
- Semigroup
- Serializable
- AnyRef
- Any
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Visibility
- Public
- Protected
Instance Constructors
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
- def additive: CommutativeGroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]
- Definition Classes
- AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def assertNotZero(v: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)): Unit
- Definition Classes
- Monoid
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native()
- def combine(l: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O), r: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Semigroup → Semigroup
- def combineAll(t: TraversableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Monoid → Monoid
- def combineAllOption(as: IterableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]): Option[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]
- Definition Classes
- Monoid → Semigroup
- def combineN(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O), n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Group → Monoid → Semigroup
- def empty: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Monoid → Monoid
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable])
- def fromBigInt(n: BigInt): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Ring
- def fromInt(n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Ring
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- def inverse(v: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Group → Group
- def isEmpty(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O))(implicit ev: Eq[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]): Boolean
- Definition Classes
- Monoid
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- def isNonZero(v: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)): Boolean
- Definition Classes
- Monoid
- def isOne(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O))(implicit ev: Eq[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]): Boolean
- Definition Classes
- MultiplicativeMonoid
- def isZero(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O))(implicit ev: Eq[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]): Boolean
- Definition Classes
- AdditiveMonoid
- def minus(l: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O), r: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Tuple15Group → AdditiveGroup
- def multiplicative: algebra.Monoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]
- Definition Classes
- MultiplicativeMonoid → MultiplicativeSemigroup
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def negate(v: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Tuple15Group → AdditiveGroup
- def nonZeroOption(v: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)): Option[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]
- Definition Classes
- Monoid
- final def notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native()
- final def notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native()
- def one: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Tuple15Ring → Ring → MultiplicativeMonoid
- def plus(l: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O), r: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Tuple15Semigroup → AdditiveSemigroup
- def positivePow(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O), n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Attributes
- protected[this]
- Definition Classes
- MultiplicativeSemigroup
- def positiveSumN(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O), n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Attributes
- protected[this]
- Definition Classes
- AdditiveSemigroup
- def pow(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O), n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- MultiplicativeMonoid → MultiplicativeSemigroup
- def product(iter: TraversableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Ring → MultiplicativeMonoid
- def remove(l: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O), r: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Group → Group
- def repeatedCombineN(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O), n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Attributes
- protected[this]
- Definition Classes
- Semigroup
- def sum(vs: TraversableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Monoid → AdditiveMonoid
- def sumN(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O), n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
- def sumOption(to: TraversableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]): Option[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]
Returns an instance of
T
calculated by summing all instances initer
in one pass.Returns an instance of
T
calculated by summing all instances initer
in one pass. ReturnsNone
ifiter
is empty, elseSome[ T]
.- returns
None
ifiter
is empty, else an option value containing the summedT
- Definition Classes
- Tuple15Semigroup → Semigroup
- Note
Override if there is a faster way to compute this sum than
iter.reduceLeftOption
using plus.
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def times(l: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O), r: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Tuple15Ring → Ring → MultiplicativeSemigroup
- def toString(): String
- Definition Classes
- AnyRef → Any
- def tryProduct(as: TraversableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]): Option[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]
- Definition Classes
- MultiplicativeMonoid → MultiplicativeSemigroup
- def trySum(as: TraversableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]): Option[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]
- Definition Classes
- AdditiveMonoid → AdditiveSemigroup
- 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, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
- Definition Classes
- Tuple15Monoid → AdditiveMonoid