core/spire.std

spire.std

package spire.std

Type members

Classlikes

trait AbGroupProductInstances
trait AnyInstances extends BooleanInstances with CharInstances with ByteInstances with ShortInstances with IntInstances with LongInstances with FloatInstances with DoubleInstances with BigIntInstances with BigIntegerInstances with BigDecimalInstances with StringInstances with IterableInstances with ArrayInstances with SeqInstances with MapInstances with ProductInstances with OptionInstances with UnitInstances
@SerialVersionUID(0L)
class ArrayCoordinateSpace[@specialized(Int, Long, Float, Double) A](val dimensions: Int)(implicit evidence$10: ClassTag[A], val scalar: Field[A]) extends CoordinateSpace[Array[A], A] with Serializable
trait ArrayInstances extends ArrayInstances3
trait ArrayInstances0
trait ArrayInstances1 extends ArrayInstances0
trait ArrayInstances2 extends ArrayInstances1
trait ArrayInstances3 extends ArrayInstances2
object ArraySupport
@SerialVersionUID(0L)
class ArrayVectorEq[@specialized(Int, Long, Float, Double) A] extends Eq[Array[A]] with Serializable
@SerialVersionUID(0L)
class ArrayVectorOrder[@specialized(Int, Long, Float, Double) A] extends Order[Array[A]] with Serializable
@SerialVersionUID(0L)
class BigDecimalAlgebra extends BigDecimalIsField with BigDecimalIsNRoot with BigDecimalIsReal with Serializable
trait BigDecimalInstances
trait BigDecimalIsField extends Field[BigDecimal]
trait BigDecimalIsNRoot extends NRoot[BigDecimal]
trait BigDecimalIsReal extends IsRational[BigDecimal] with BigDecimalTruncatedDivision
@SerialVersionUID(1L)
class BigDecimalIsTrig(mc: MathContext) extends Trig[BigDecimal] with Serializable
trait BigDecimalOrder extends Order[BigDecimal]
trait BigDecimalSigned extends Signed[BigDecimal] with BigDecimalOrder
trait BigDecimalTruncatedDivision extends forCommutativeRing[BigDecimal] with BigDecimalSigned
@SerialVersionUID(0L)
class BigIntAlgebra extends BigIntIsEuclideanRing with BigIntIsNRoot with BigIntIsMetricSpace with BigIntIsReal with Serializable
trait BigIntInstances
trait BigIntIsEuclideanRing extends EuclideanRing[BigInt]
trait BigIntIsMetricSpace extends MetricSpace[BigInt, BigInt]
trait BigIntIsNRoot extends NRoot[BigInt]
trait BigIntIsReal extends IsIntegral[BigInt] with BigIntTruncatedDivision with Serializable
trait BigIntOrder extends Order[BigInt]
trait BigIntSigned extends Signed[BigInt] with BigIntOrder
trait BigIntTruncatedDivision extends forCommutativeRing[BigInt] with BigIntSigned
@SerialVersionUID(0L)
class BigIntegerAlgebra extends BigIntegerIsEuclideanRing with BigIntegerIsNRoot with BigIntegerIsMetricSpace with BigIntegerIsReal with Serializable
trait BigIntegerInstances
trait BigIntegerIsEuclideanRing extends EuclideanRing[BigInteger]
trait BigIntegerIsMetricSpace extends MetricSpace[BigInteger, BigInteger]
trait BigIntegerIsNRoot extends NRoot[BigInteger]
trait BigIntegerIsReal extends IsIntegral[BigInteger] with BigIntegerTruncatedDivision with Serializable
trait BigIntegerOrder extends Order[BigInteger]
trait BigIntegerSigned extends Signed[BigInteger] with BigIntegerOrder
trait BigIntegerTruncatedDivision extends forCommutativeRing[BigInteger] with BigIntegerSigned
trait BooleanInstances
trait BooleanIsBool extends Bool[Boolean]
trait BooleanIsRig extends CommutativeRig[Boolean]
trait BooleanOrder extends Order[Boolean] with Serializable
@SerialVersionUID(0L)
class BooleanStructure extends BooleanIsBool with BooleanIsRig with BooleanOrder with Serializable
@SerialVersionUID(0L)
class ByteAlgebra extends ByteIsEuclideanRing with ByteIsReal with Serializable
trait ByteInstances
@SerialVersionUID(0L)
class ByteIsBitString extends BitString[Byte] with Serializable
trait ByteIsEuclideanRing extends EuclideanRing[Byte]
trait ByteIsNRoot extends NRoot[Byte]
trait ByteIsReal extends IsIntegral[Byte] with ByteTruncatedDivision with ByteSigned
trait ByteOrder extends Order[Byte]
trait ByteSigned extends Signed[Byte] with ByteOrder
trait ByteTruncatedDivision extends forCommutativeRing[Byte] with ByteSigned
@SerialVersionUID(0L)
class CharAlgebra extends CharOrder with Serializable
trait CharInstances
trait CharOrder extends Order[Char]
@SerialVersionUID(0L)
class DoubleAlgebra extends DoubleIsField with DoubleIsNRoot with DoubleIsTrig with DoubleIsReal with Serializable
trait DoubleInstances
trait DoubleIsField extends Field[Double]
trait DoubleIsNRoot extends NRoot[Double]
trait DoubleIsReal extends IsRational[Double] with DoubleTruncatedDivision
trait DoubleIsTrig extends Trig[Double]
trait DoubleOrder extends Order[Double]
trait DoubleSigned extends Signed[Double] with DoubleOrder
trait DoubleTruncatedDivision extends forCommutativeRing[Double] with DoubleSigned
trait EqProductInstances
@SerialVersionUID(0L)
class FloatAlgebra extends FloatIsField with FloatIsNRoot with FloatIsTrig with FloatIsReal with Serializable
trait FloatInstances
trait FloatIsField extends Field[Float]
trait FloatIsNRoot extends NRoot[Float]
trait FloatIsReal extends IsRational[Float] with FloatTruncatedDivision
trait FloatIsTrig extends Trig[Float]
trait FloatOrder extends Order[Float]
trait FloatSigned extends Signed[Float] with FloatOrder
trait FloatTruncatedDivision extends forCommutativeRing[Float] with FloatSigned
trait GroupProductInstances
@SerialVersionUID(0L)
class IntAlgebra extends IntIsEuclideanRing with IntIsNRoot with IntIsReal with Serializable
trait IntInstances
@SerialVersionUID(0L)
class IntIsBitString extends BitString[Int] with Serializable
trait IntIsEuclideanRing extends EuclideanRing[Int]
trait IntIsNRoot extends NRoot[Int]
trait IntIsReal extends IsIntegral[Int] with IntTruncatedDivision
trait IntOrder extends Order[Int]
trait IntSigned extends Signed[Int] with IntOrder
trait IntTruncatedDivision extends forCommutativeRing[Int] with IntSigned
trait IterableInstances
@SerialVersionUID(0L)
final
class IterableMonoid[A, SA <: IterableOps[A, Iterable, SA]](implicit cbf: Factory[A, SA]) extends Monoid[SA] with Serializable
@SerialVersionUID(0L)
object LevenshteinDistance extends MetricSpace[String, Int] with Serializable
@SerialVersionUID(0L)
class LongAlgebra extends LongIsEuclideanRing with LongIsNRoot with LongIsReal with Serializable
trait LongInstances
@SerialVersionUID(0L)
class LongIsBitString extends BitString[Long] with Serializable
trait LongIsEuclideanRing extends EuclideanRing[Long]
trait LongIsNRoot extends NRoot[Long]
trait LongIsReal extends IsIntegral[Long] with LongTruncatedDivision
trait LongOrder extends Order[Long]
trait LongSigned extends Signed[Long] with LongOrder
trait LongTruncatedDivision extends forCommutativeRing[Long] with LongSigned
@SerialVersionUID(0L)
class MapCRng[K, V](implicit val scalar: CommutativeRing[V]) extends MapCSemiring[K, V] with CommutativeRng[Map[K, V]] with CModule[Map[K, V], V] with Serializable
@SerialVersionUID(0L)
class MapCSemiring[K, V](implicit val scalar: CommutativeSemiring[V]) extends CommutativeSemiring[Map[K, V]] with Serializable
@SerialVersionUID(0L)
class MapEq[K, V](implicit V: Eq[V]) extends Eq[Map[K, V]] with Serializable
@SerialVersionUID(0L)
class MapGroup[K, V](implicit val scalar: Group[V]) extends MapMonoid[K, V] with Group[Map[K, V]] with Serializable
@SerialVersionUID(0L)
class MapInnerProductSpace[K, V] extends MapVectorSpace[K, V] with InnerProductSpace[Map[K, V], V] with Serializable
trait MapInstances extends MapInstances3
trait MapInstances0
trait MapInstances1 extends MapInstances0
trait MapInstances2 extends MapInstances1
trait MapInstances3 extends MapInstances2
@SerialVersionUID(0L)
class MapMonoid[K, V](implicit val scalar: Semigroup[V]) extends Monoid[Map[K, V]] with Serializable
@SerialVersionUID(0L)
class MapVectorEq[K, V](implicit V: Eq[V], scalar: AdditiveMonoid[V]) extends Eq[Map[K, V]] with Serializable
@SerialVersionUID(0L)
class MapVectorSpace[K, V](implicit val scalar: Field[V]) extends MapCRng[K, V] with VectorSpace[Map[K, V], V] with Serializable
trait MonoidProductInstances
@SerialVersionUID(0L)
class OptionAdditiveMonoid[A] extends AdditiveMonoid[Option[A]] with Serializable
@SerialVersionUID(0L)
class OptionCMonoid[A] extends OptionMonoid[A] with CommutativeMonoid[Option[A]]
@SerialVersionUID(0L)
class OptionEq[A] extends Eq[Option[A]] with Serializable
trait OptionInstances extends OptionInstances0
trait OptionInstances0
@SerialVersionUID(0L)
class OptionMonoid[A] extends Monoid[Option[A]] with Serializable
@SerialVersionUID(0L)
class OptionMultiplicativeMonoid[A] extends MultiplicativeMonoid[Option[A]] with Serializable
@SerialVersionUID(0L)
class OptionOrder[A] extends OptionEq[A] with Order[Option[A]] with Serializable
trait OrderProductInstances
trait ProductInstances extends SemigroupProductInstances with MonoidProductInstances with GroupProductInstances with AbGroupProductInstances with SemiringProductInstances with RngProductInstances with RigProductInstances with RingProductInstances with EqProductInstances with OrderProductInstances
trait RigProductInstances
trait RingProductInstances
trait RngProductInstances
trait SemigroupProductInstances
trait SemiringProductInstances
@SerialVersionUID(0L)
class SeqCModule[A, SA <: SeqOps[A, Seq, SA]](implicit val scalar: CommutativeRing[A], cbf: Factory[A, SA]) extends CModule[SA, A] with Serializable
@SerialVersionUID(0L)
class SeqCoordinateSpace[A, SA <: SeqOps[A, Seq, SA]](val dimensions: Int)(implicit evidence$2: Field[A], cbf: Factory[A, SA]) extends SeqInnerProductSpace[A, SA] with CoordinateSpace[SA, A] with Serializable
@SerialVersionUID(0L)
class SeqEq[A, SA <: SeqOps[A, Seq, SA]] extends Eq[SA] with Serializable
@SerialVersionUID(0L)
class SeqInnerProductSpace[A, SA <: SeqOps[A, Seq, SA]](implicit evidence$1: Field[A], cbf: Factory[A, SA]) extends SeqVectorSpace[A, SA] with InnerProductSpace[SA, A] with Serializable
trait SeqInstances extends SeqInstances3
trait SeqInstances0
trait SeqInstances1 extends SeqInstances0
trait SeqInstances2 extends SeqInstances1
trait SeqInstances3 extends SeqInstances2
@SerialVersionUID(0L)
class SeqLpNormedVectorSpace[A, SA <: SeqOps[A, Seq, SA]](val p: Int)(implicit evidence$3: Field[A], evidence$4: NRoot[A], evidence$5: Signed[A], cbf: Factory[A, SA]) extends SeqVectorSpace[A, SA] with NormedVectorSpace[SA, A] with Serializable

The L_p norm is equal to the p-th root of the sum of each element to the power p. For instance, if p = 1 we have the Manhattan distance. If you'd like the Euclidean norm (p = 2), then you'd probably be best to use an RealInnerProductSpace instead.

The L_p norm is equal to the p-th root of the sum of each element to the power p. For instance, if p = 1 we have the Manhattan distance. If you'd like the Euclidean norm (p = 2), then you'd probably be best to use an RealInnerProductSpace instead.

@SerialVersionUID(0L)
class SeqMaxNormedVectorSpace[A, SA <: SeqOps[A, Seq, SA]](implicit evidence$6: Field[A], evidence$7: Order[A], evidence$8: Signed[A], cbf: Factory[A, SA]) extends SeqVectorSpace[A, SA] with NormedVectorSpace[SA, A] with Serializable

The norm here uses the absolute maximum of the coordinates (ie. the L_inf norm).

The norm here uses the absolute maximum of the coordinates (ie. the L_inf norm).

@SerialVersionUID(0L)
class SeqOrder[A, SA <: SeqOps[A, Seq, SA]] extends SeqEq[A, SA] with Order[SA] with Serializable
@SerialVersionUID(0L)
class SeqVectorEq[A, SA <: SeqOps[A, Seq, SA]](implicit evidence$11: Eq[A], scalar: AdditiveMonoid[A]) extends Eq[SA] with Serializable
@SerialVersionUID(0L)
class SeqVectorOrder[A, SA <: SeqOps[A, Seq, SA]](implicit evidence$12: Order[A], scalar: AdditiveMonoid[A]) extends SeqVectorEq[A, SA] with Order[SA] with Serializable
@SerialVersionUID(0L)
class SeqVectorSpace[A, SA <: SeqOps[A, Seq, SA]](implicit val scalar: Field[A], cbf: Factory[A, SA]) extends SeqCModule[A, SA] with VectorSpace[SA, A] with Serializable
@SerialVersionUID(0L)
class ShortAlgebra extends ShortIsEuclideanRing with ShortIsReal with Serializable
trait ShortInstances
@SerialVersionUID(0L)
class ShortIsBitString extends BitString[Short] with Serializable
trait ShortIsEuclideanRing extends EuclideanRing[Short]
trait ShortIsNRoot extends NRoot[Short]
trait ShortIsReal extends IsIntegral[Short] with ShortTruncatedDivision
trait ShortOrder extends Order[Short]
trait ShortSigned extends Signed[Short] with ShortOrder
trait ShortTruncatedDivision extends forCommutativeRing[Short] with ShortSigned
trait StringInstances extends StringInstances0
trait StringInstances0
@SerialVersionUID(0L)
class StringMonoid extends Monoid[String] with Serializable
@SerialVersionUID(0L)
class StringOrder extends Order[String] with Serializable
trait UnitAbGroup extends CommutativeGroup[Unit]
@SerialVersionUID(0L)
class UnitAlgebra extends UnitAbGroup with UnitOrder with Serializable
trait UnitInstances
trait UnitOrder extends Order[Unit] with Serializable
object any extends AnyInstances
object array extends ArrayInstances
object bigDecimal extends BigDecimalInstances
object bigInt extends BigIntInstances
object bigInteger extends BigIntegerInstances
object boolean extends BooleanInstances
object byte extends ByteInstances
object char extends CharInstances
object double extends DoubleInstances
object float extends FloatInstances
object int extends IntInstances
object iterable extends IterableInstances
object long extends LongInstances
object map extends MapInstances
object option extends OptionInstances
object seq extends SeqInstances
object short extends ShortInstances
object string extends StringInstances
object tuples extends ProductInstances
object unit extends UnitInstances