breeze/breeze.math

breeze.math

package breeze.math

Type members

Classlikes

trait AdditiveTensorAbelianGroup[V, S]
case class Complex(real: Double, imag: Double)

Immutable complex number representation backed by doubles for the real and imaginary parts.

Immutable complex number representation backed by doubles for the real and imaginary parts.

Integration with scala.math.Numeric and scala.math.Fractional is provided.

Companion
object
object Complex
Companion
class
trait CoordinateField[V, S] extends LPVectorField[V, S] with Coordinated[V, S]
trait Coordinated[V, S]

Used for those vector-types that are "coordinated", meaning that t. (Possibly the coordinates are enumerable as well, in which case you want an XXX

Used for those vector-types that are "coordinated", meaning that t. (Possibly the coordinates are enumerable as well, in which case you want an XXX

Type Params
S

Scalar type

V

Vector type

object EntrywiseMatrixNorms
trait EnumeratedCoordinateField[V, I, S] extends CoordinateField[V, S]

A CoordinateField that has an addressable index set. This set may not be finite, and it may change (e.g. Counters).

A CoordinateField that has an addressable index set. This set may not be finite, and it may change (e.g. Counters).

Brings QuasiTensor methods into scope.

trait Field[@specialized(Int, Short, Long, Float, Double) V] extends Ring[V]

Marker trait for scalar values. Scalars must be immutable. TODO: maybe use spire for the basis of this?

Marker trait for scalar values. Scalars must be immutable. TODO: maybe use spire for the basis of this?

Companion
object
object Field
Companion
class
trait FiniteCoordinateField[V, I, S] extends EnumeratedCoordinateField[V, I, S]

breeze.math.CoordinateField with generic zeros operation. Only useful for the Matrix and Vector hierarchies where the domain can be specified by the dimension of the Tensor.

breeze.math.CoordinateField with generic zeros operation. Only useful for the Matrix and Vector hierarchies where the domain can be specified by the dimension of the Tensor.

trait InnerProductModule[V, S] extends NormedModule[V, S]
trait InnerProductVectorSpace[V, S] extends NormedVectorSpace[V, S] with InnerProductModule[V, S]
trait LPModule[V, S] extends NormedModule[V, S] with PNormed[V]

An LP Module is a module equipped with a p-norm (named after LPSpace)

An LP Module is a module equipped with a p-norm (named after LPSpace)

trait LPSpace[V, S] extends VectorSpace[V, S] with LPModule[V, S]
trait LPVectorField[V, S] extends VectorField[V, S] with LPSpace[V, S]
class LogDouble(val logValue: Double)

Represents a double in log space, to prevent under/overflow These guys are horribly slow right now, thanks to boxing in Java. Hopefully that will go away one day.

Represents a double in log space, to prevent under/overflow These guys are horribly slow right now, thanks to boxing in Java. Hopefully that will go away one day.

Companion
object
object LogDouble
Companion
class
trait MatrixInnerProduct[M, S] extends MatrixNorms[M, S]
trait MatrixNorms[M, S]

breeze 7/10/14

breeze 7/10/14

trait Module[V, S] extends AdditiveTensorAbelianGroup[V, S]
trait MutableCoordinateField[V, S] extends CoordinateField[V, S] with MutableVectorField[V, S]
Companion
object
object MutableCoordinateField
Companion
class
trait MutableEnumeratedCoordinateField[V, I, S] extends EnumeratedCoordinateField[V, I, S] with MutableCoordinateField[V, S]

A CoordinateField that has an addressable index set. This set may not be finite, and it may change (e.g. Counters).

A CoordinateField that has an addressable index set. This set may not be finite, and it may change (e.g. Counters).

Brings QuasiTensor methods into scope.

Companion
object
object MutableEnumeratedCoordinateField
Companion
class
trait MutableFiniteCoordinateField[V, I, S] extends FiniteCoordinateField[V, I, S] with MutableEnumeratedCoordinateField[V, I, S]
Companion
object
object MutableFiniteCoordinateField
Companion
class
trait MutableInnerProductModule[V, S] extends MutableModule[V, S] with InnerProductModule[V, S]
Companion
object
object MutableInnerProductModule
Companion
class
trait MutableInnerProductVectorSpace[V, S] extends MutableVectorSpace[V, S] with MutableInnerProductModule[V, S] with InnerProductVectorSpace[V, S]
Companion
object
object MutableInnerProductVectorSpace
Companion
class
trait MutableLPModule[V, S] extends MutableModule[V, S] with LPModule[V, S]
trait MutableLPSpace[V, S] extends MutableVectorSpace[V, S] with MutableLPModule[V, S]
trait MutableLPVectorField[V, S] extends LPVectorField[V, S] with MutableVectorRing[V, S] with MutableInnerProductVectorSpace[V, S]
Companion
object
object MutableLPVectorField
Companion
class
trait MutableModule[V, S] extends Module[V, S]
Companion
object
object MutableModule
Companion
class
trait MutableNormedModule[V, S] extends MutableModule[V, S] with NormedModule[V, S]
trait MutableNormedVectorSpace[V, S] extends MutableVectorSpace[V, S] with NormedVectorSpace[V, S]
trait MutableOptimizationSpace[M, V, S] extends MutableFiniteCoordinateField[V, Int, S]
Companion
object
object MutableOptimizationSpace
Companion
class
trait MutableVectorField[V, S] extends VectorField[V, S] with MutableVectorRing[V, S] with MutableInnerProductVectorSpace[V, S]
Companion
object
object MutableVectorField
Companion
class
trait MutableVectorRing[V, S] extends VectorRing[V, S] with MutableInnerProductModule[V, S]
trait MutableVectorSpace[V, S] extends MutableModule[V, S] with VectorSpace[V, S]
trait MutablizingAdaptor[+VS[_, _], MVS[_, _], V, S]
Companion
object
object MutablizingAdaptor
Companion
class
trait Normed[V]
trait NormedModule[V, S] extends Module[V, S] with Normed[V]
trait NormedVectorSpace[V, S] extends VectorSpace[V, S] with NormedModule[V, S]
trait PNormed[V] extends Normed[V]

Has a norm(v, p), for real p (technically for p >= 1)

Has a norm(v, p), for real p (technically for p >= 1)

object PowImplicits

importing this gives numeric enables a "pow" method on basic numeric types

importing this gives numeric enables a "pow" method on basic numeric types

class RichField(value: Double)
trait Ring[@specialized(Int, Short, Long, Float, Double) V] extends Semiring[V]
Companion
object
object Ring
Companion
class
trait Semiring[@specialized(Int, Short, Long, Float, Double) V] extends Serializable
Companion
object
object Semiring
Companion
class
trait VectorField[V, S] extends InnerProductVectorSpace[V, S] with VectorRing[V, S]
Companion
object
object VectorField
Companion
class
trait VectorRing[V, S] extends InnerProductModule[V, S]
trait VectorSpace[V, S] extends Module[V, S]

Value members

Concrete fields

val i: Complex

Implicits

Implicits

implicit def richFloat(value: Float): RichField
implicit def richInt(value: Int): RichField