Product

Instance Constructors

new Product(left: Matrix2[R, C, V], right: Matrix2[C, C2, V], ring: Ring[V], expressions: Option[Map[Matrix2[R, C2, V], TypedPipe[(R, C2, V)]]] = None)(implicit joiner: MatrixJoiner2)

left
multiplicand
right
multiplier
expressions
a HashMap of common subtrees; None if possibly not optimal (did not go through optimize), Some(...) with a HashMap that was created in optimize

Value Members

final def !=(arg0: Any): Boolean

Definition Classes
AnyRef → Any
final def ##(): Int

Definition Classes
AnyRef → Any
def #*#(that: Matrix2[R, C2, V])(implicit ring: Ring[V]): Matrix2[R, C2, V]

Represents the pointwise, or Hadamard, product of two matrices.
Represents the pointwise, or Hadamard, product of two matrices.

Definition Classes
Matrix2
def *(that: Scalar2[V])(implicit ring: Ring[V], mj: MatrixJoiner2): Matrix2[R, C2, V]

Definition Classes
Matrix2
def *[C2](that: Matrix2[C2, C2, V])(implicit ring: Ring[V], mj: MatrixJoiner2): Matrix2[R, C2, V]

Definition Classes
Matrix2
def +(that: Matrix2[R, C2, V])(implicit mon: Monoid[V]): Matrix2[R, C2, V]

Definition Classes
Matrix2
def -(that: Matrix2[R, C2, V])(implicit g: Group[V]): Matrix2[R, C2, V]

Definition Classes
Matrix2
def /(that: Scalar2[V])(implicit field: algebird.Field[V]): Matrix2[R, C2, V]

Definition Classes
Matrix2
final def ==(arg0: Any): Boolean

Definition Classes
AnyRef → Any
def ^(power: Int)(implicit ev: =:=[R, C2], ring: Ring[V], mj: MatrixJoiner2): Matrix2[R, R, V]

equivalent to multiplying this matrix by itself, power times
equivalent to multiplying this matrix by itself, power times

Definition Classes
Matrix2
def asCol[C2](c2: C2)(implicit ev: =:=[C2, Unit], colOrd: Ordering[C2]): Matrix2[R, C2, V]

Definition Classes
Matrix2
final def asInstanceOf[T0]: T0

Definition Classes
Any
def asRow[R2](r2: R2)(implicit ev: =:=[R, Unit], rowOrd: Ordering[R2]): Matrix2[R2, C2, V]

Consider this Matrix as the r2 row of a matrix.
Consider this Matrix as the r2 row of a matrix. The current matrix must be a row, which is to say, its row type must be Unit.

Definition Classes
Matrix2
def binarizeAs[NewValT](implicit mon: Monoid[V], ring: Ring[NewValT]): Matrix2[R, C2, NewValT]

Definition Classes
Matrix2
def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( ... )
implicit val colOrd: Ordering[C2]

Definition Classes
Product → Matrix2
final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def equals(obj: Any): Boolean

Structural, NOT mathematical equality (e.g.
Structural, NOT mathematical equality (e.g. (A*B) * C != A * (B*C)) Used for the Matrix2OptimizationTest (so that it doesn't care about expressions)

Definition Classes
Product → Equals → AnyRef → Any
val expressions: Option[Map[Matrix2[R, C2, V], TypedPipe[(R, C2, V)]]]

a HashMap of common subtrees; None if possibly not optimal (did not go through optimize), Some(...) with a HashMap that was created in optimize
def finalize(): Unit

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
final def getClass(): Class[_]

Definition Classes
AnyRef → Any
def getColumn(index: C2): Matrix2[R, Unit, V]

Definition Classes
Matrix2
def getRow(index: R): Matrix2[Unit, C2, V]

Definition Classes
Matrix2
def hashCode(): Int

Definition Classes
Product → AnyRef → Any
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
implicit val joiner: MatrixJoiner2
val left: Matrix2[R, C, V]

multiplicand
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def negate(implicit g: Group[V]): Product[R, C, C2, V]

Definition Classes
Product → Matrix2
final def notify(): Unit

Definition Classes
AnyRef
final def notifyAll(): Unit

Definition Classes
AnyRef
def optimizedSelf: Matrix2[R, C2, V]

Users should never need this.
Users should never need this. This is the current Matrix2, but in most optimized form. Usually, you will just do matrix operations until you eventually call write or toTypedPipe

Definition Classes
Matrix2
def propagate[C2, VecV](vec: Matrix2[C2, C2, VecV])(implicit ev: =:=[V, Boolean], mon: Monoid[VecV], mj: MatrixJoiner2): Matrix2[R, C2, VecV]

the result is the same as considering everything on the this to be like a 1 value so we just sum, using only a monoid on VecV, where this Matrix has the value true.
the result is the same as considering everything on the this to be like a 1 value so we just sum, using only a monoid on VecV, where this Matrix has the value true. This is useful for graph propagation of monoids, such as sketchs like HyperLogLog, BloomFilters or CountMinSketch. TODO This is a special kind of product that could be optimized like Product is

Definition Classes
Matrix2
def propagateRow[C2](mat: Matrix2[C2, C2, Boolean])(implicit ev: =:=[R, Unit], mon: Monoid[V], mj: MatrixJoiner2): Matrix2[Unit, C2, V]

Definition Classes
Matrix2
val right: Matrix2[C, C2, V]

multiplier
val ring: Ring[V]
def rowL1Normalize(implicit num: Numeric[V], mj: MatrixJoiner2): Matrix2[R, C2, Double]

Row L1 normalization After this operation, the sum(|x|) alone each row will be 1.
Row L1 normalization After this operation, the sum(|x|) alone each row will be 1.

Definition Classes
Matrix2
def rowL2Normalize(implicit num: Numeric[V], mj: MatrixJoiner2): Matrix2[R, C2, Double]

Row L2 normalization After this operation, the sum(|x|^2) along each row will be 1.
Row L2 normalization After this operation, the sum(|x|^2) along each row will be 1.

Definition Classes
Matrix2
implicit val rowOrd: Ordering[R]

Definition Classes
Product → Matrix2
val sizeHint: SizeHint

Definition Classes
Product → Matrix2
def sumColVectors(implicit ring: Ring[V], mj: MatrixJoiner2): Matrix2[R, Unit, V]

Definition Classes
Matrix2
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
lazy val toOuterSum: TypedPipe[(R, C2, V)]
lazy val toTypedPipe: TypedPipe[(R, C2, V)]

Convert the current Matrix to a TypedPipe
Convert the current Matrix to a TypedPipe

Definition Classes
Product → Matrix2
def trace(implicit mon: Monoid[V], ev1: =:=[R, C2]): Scalar2[V]

Trace(A B) = Trace(B A) so we optimize to choose the lowest cost item
Trace(A B) = Trace(B A) so we optimize to choose the lowest cost item

Definition Classes
Product → Matrix2
lazy val transpose: Product[C2, C, R, V]

Definition Classes
Product → Matrix2
def unary_-(implicit g: Group[V]): Matrix2[R, C2, V]

Definition Classes
Matrix2
final def wait(): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long, arg1: Int): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
implicit def withOrderedSerialization: Ordering[(R, C2)]
def write(sink: TypedSink[(R, C2, V)])(implicit fd: FlowDef, m: Mode): Matrix2[R, C2, V]

Definition Classes
Matrix2

Related Doc: package mathematics

case class Product[R, C, C2, V](left: Matrix2[R, C, V], right: Matrix2[C, C2, V], ring: Ring[V], expressions: Option[Map[Matrix2[R, C2, V], TypedPipe[(R, C2, V)]]] = None)(implicit joiner: MatrixJoiner2) extends Matrix2[R, C2, V] with scala.Product with Serializable

Instance Constructors

new Product(left: Matrix2[R, C, V], right: Matrix2[C, C2, V], ring: Ring[V], expressions: Option[Map[Matrix2[R, C2, V], TypedPipe[(R, C2, V)]]] = None)(implicit joiner: MatrixJoiner2)

Value Members

final def !=(arg0: Any): Boolean

final def ##(): Int

def #*#(that: Matrix2[R, C2, V])(implicit ring: Ring[V]): Matrix2[R, C2, V]

def *(that: Scalar2[V])(implicit ring: Ring[V], mj: MatrixJoiner2): Matrix2[R, C2, V]

def *[C2](that: Matrix2[C2, C2, V])(implicit ring: Ring[V], mj: MatrixJoiner2): Matrix2[R, C2, V]

def +(that: Matrix2[R, C2, V])(implicit mon: Monoid[V]): Matrix2[R, C2, V]

def -(that: Matrix2[R, C2, V])(implicit g: Group[V]): Matrix2[R, C2, V]

def /(that: Scalar2[V])(implicit field: algebird.Field[V]): Matrix2[R, C2, V]

final def ==(arg0: Any): Boolean

def ^(power: Int)(implicit ev: =:=[R, C2], ring: Ring[V], mj: MatrixJoiner2): Matrix2[R, R, V]

def asCol[C2](c2: C2)(implicit ev: =:=[C2, Unit], colOrd: Ordering[C2]): Matrix2[R, C2, V]

final def asInstanceOf[T0]: T0

def asRow[R2](r2: R2)(implicit ev: =:=[R, Unit], rowOrd: Ordering[R2]): Matrix2[R2, C2, V]

def binarizeAs[NewValT](implicit mon: Monoid[V], ring: Ring[NewValT]): Matrix2[R, C2, NewValT]

def clone(): AnyRef

implicit val colOrd: Ordering[C2]

final def eq(arg0: AnyRef): Boolean

def equals(obj: Any): Boolean

val expressions: Option[Map[Matrix2[R, C2, V], TypedPipe[(R, C2, V)]]]

def finalize(): Unit

final def getClass(): Class[_]

def getColumn(index: C2): Matrix2[R, Unit, V]

def getRow(index: R): Matrix2[Unit, C2, V]

def hashCode(): Int

final def isInstanceOf[T0]: Boolean

implicit val joiner: MatrixJoiner2

val left: Matrix2[R, C, V]

final def ne(arg0: AnyRef): Boolean

def negate(implicit g: Group[V]): Product[R, C, C2, V]

final def notify(): Unit

final def notifyAll(): Unit

def optimizedSelf: Matrix2[R, C2, V]

def propagate[C2, VecV](vec: Matrix2[C2, C2, VecV])(implicit ev: =:=[V, Boolean], mon: Monoid[VecV], mj: MatrixJoiner2): Matrix2[R, C2, VecV]

def propagateRow[C2](mat: Matrix2[C2, C2, Boolean])(implicit ev: =:=[R, Unit], mon: Monoid[V], mj: MatrixJoiner2): Matrix2[Unit, C2, V]

val right: Matrix2[C, C2, V]

val ring: Ring[V]

def rowL1Normalize(implicit num: Numeric[V], mj: MatrixJoiner2): Matrix2[R, C2, Double]

def rowL2Normalize(implicit num: Numeric[V], mj: MatrixJoiner2): Matrix2[R, C2, Double]

implicit val rowOrd: Ordering[R]

val sizeHint: SizeHint

def sumColVectors(implicit ring: Ring[V], mj: MatrixJoiner2): Matrix2[R, Unit, V]

final def synchronized[T0](arg0: ⇒ T0): T0

lazy val toOuterSum: TypedPipe[(R, C2, V)]

lazy val toTypedPipe: TypedPipe[(R, C2, V)]

def trace(implicit mon: Monoid[V], ev1: =:=[R, C2]): Scalar2[V]

lazy val transpose: Product[C2, C, R, V]

def unary_-(implicit g: Group[V]): Matrix2[R, C2, V]

final def wait(): Unit

final def wait(arg0: Long, arg1: Int): Unit

final def wait(arg0: Long): Unit

implicit def withOrderedSerialization: Ordering[(R, C2)]

def write(sink: TypedSink[(R, C2, V)])(implicit fd: FlowDef, m: Mode): Matrix2[R, C2, V]

Inherited from Serializable

Inherited from scala.Product

Inherited from Equals

Inherited from Matrix2[R, C2, V]

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

Ungrouped