scalation.linalgebra.VectorR

Instance Constructors

new VectorR(u: VectorR)

Construct a vector and assign values from vector u.
Construct a vector and assign values from vector u.
u
the other vector
new VectorR(u: Array[Rational])

Construct a vector from an array of values.
Construct a vector from an array of values.
u
the array of values
new VectorR(dim: Int, v: Array[Rational] = null)

dim
the dimension/size of the vector
v
the 1D array used to store vector elements

Value Members

final def !=(arg0: AnyRef): Boolean

Definition Classes
AnyRef
final def !=(arg0: Any): Boolean

Definition Classes
Any
final def ##(): Int

Definition Classes
AnyRef → Any
def *(m: Matrir): VectorR

Multiply this 'row' vector by matrix m.
Multiply this 'row' vector by matrix m. FIX: not yet implemented
m
the matrix to multiply by
def *(s: Double): VectorR

Multiply this vector by scalar s.
Multiply this vector by scalar s.
s
the scalar to multiply by
def *(s: Rational): VectorR

Multiply this vector by scalar s.
Multiply this vector by scalar s.
s
the scalar to multiply by
def *(b: VectorR): VectorR

Multiply this vector by vector b.
Multiply this vector by vector b.
b
the vector to multiply by
def *=(s: Double): VectorR

Multiply in-place this vector and scalar s.
Multiply in-place this vector and scalar s.
s
the scalar to add
def *=(s: Rational): VectorR

Multiply in-place this vector and scalar s.
Multiply in-place this vector and scalar s.
s
the scalar to add
def *=(b: VectorR): VectorR

Multiply in-place this vector and vector b.
Multiply in-place this vector and vector b.
b
the vector to add
def +(s: (Rational, Int)): VectorR

Add this vector and scalar s.
Add this vector and scalar s._1 only at position s._2.
s
the (scalar, position) to add
def +(s: Double): VectorR

Add this vector and scalar s.
Add this vector and scalar s.
s
the scalar to add
def +(s: Rational): VectorR

Add this vector and scalar s.
Add this vector and scalar s.
s
the scalar to add
def +(b: VectorR): VectorR

Add this vector and vector b.
Add this vector and vector b.
b
the vector to add
def ++(b: Double): VectorR

Concatenate this vector and scalar b.
Concatenate this vector and scalar b.
b
the scalar to be concatenated
def ++(b: Rational): VectorR

Concatenate this vector and scalar b.
Concatenate this vector and scalar b.
b
the scalar to be concatenated
def ++(b: VectorR): VectorR

Concatenate this vector and vector b.
Concatenate this vector and vector b.
b
the vector to be concatenated
def +=(s: Double): VectorR

Add in-place this vector and scalar s.
Add in-place this vector and scalar s.
s
the scalar to add
def +=(s: Rational): VectorR

Add in-place this vector and scalar s.
Add in-place this vector and scalar s.
s
the scalar to add
def +=(b: VectorR): VectorR

Add in-place this vector and vector b.
Add in-place this vector and vector b.
b
the vector to add
def -(s: (Rational, Int)): VectorR

From this vector subtract scalar s.
From this vector subtract scalar s._1 only at position s._2.
s
the (scalar, position) to subtract
def -(s: Double): VectorR

From this vector subtract scalar s.
From this vector subtract scalar s.
s
the scalar to subtract
def -(s: Rational): VectorR

From this vector subtract scalar s.
From this vector subtract scalar s.
s
the scalar to subtract
def -(b: VectorR): VectorR

From this vector subtract vector b.
From this vector subtract vector b.
b
the vector to subtract
def -=(s: Double): VectorR

From this vector subtract in-place scalar s.
From this vector subtract in-place scalar s.
s
the scalar to add
def -=(s: Rational): VectorR

From this vector subtract in-place scalar s.
From this vector subtract in-place scalar s.
s
the scalar to add
def -=(b: VectorR): VectorR

From this vector subtract in-place vector b.
From this vector subtract in-place vector b.
b
the vector to add
def /(s: Double): VectorR

Divide this vector by scalar s.
Divide this vector by scalar s.
s
the scalar to divide by
def /(s: Rational): VectorR

Divide this vector by scalar s.
Divide this vector by scalar s.
s
the scalar to divide by
def /(b: VectorR): VectorR

Divide this vector by vector b (element-by-element).
Divide this vector by vector b (element-by-element).
b
the vector to divide by
def /=(s: Double): VectorR

Divide in-place this vector and scalar s.
Divide in-place this vector and scalar s.
s
the scalar to add
def /=(s: Rational): VectorR

Divide in-place this vector and scalar s.
Divide in-place this vector and scalar s.
s
the scalar to add
def /=(b: VectorR): VectorR

Divide in-place this vector and vector b.
Divide in-place this vector and vector b.
b
the vector to add
def <[B >: VectorR](that: B)(implicit arg0: (B) ⇒ PartiallyOrdered[B]): Boolean

Definition Classes
PartiallyOrdered
def <=[B >: VectorR](that: B)(implicit arg0: (B) ⇒ PartiallyOrdered[B]): Boolean

Definition Classes
PartiallyOrdered
final def ==(arg0: AnyRef): Boolean

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

Definition Classes
Any
def >[B >: VectorR](that: B)(implicit arg0: (B) ⇒ PartiallyOrdered[B]): Boolean

Definition Classes
PartiallyOrdered
def >=[B >: VectorR](that: B)(implicit arg0: (B) ⇒ PartiallyOrdered[B]): Boolean

Definition Classes
PartiallyOrdered
def _oneAt(j: Int, size: Int = dim): VectorR

Create a vector of the form (0, .
Create a vector of the form (0, ... -1, ... 0) where the -1 is at position j.
j
the position to place the 1
size
the size of the vector (upper bound = size - 1)
def abs: VectorR

Return the vector is absolute values.
def apply(): Array[Rational]

Get this vector's entire array.
def apply(r: Range): VectorR

Get this vector's elements within the given range (vector slicing).
Get this vector's elements within the given range (vector slicing).
r
the given range
def apply(i: Int): Rational

Get this vector's element at the i-th index position.
Get this vector's element at the i-th index position.
i
the given index
def argmax(e: Int = dim): Int

Find the argument maximum of this vector (index of maximum element).
Find the argument maximum of this vector (index of maximum element).
e
the ending index (exclusive) for the search
def argmaxPos(e: Int = dim): Int

Return the argument maximum of this vector (-1 if its not positive).
Return the argument maximum of this vector (-1 if its not positive).
e
the ending index (exclusive) for the search
def argmin(e: Int = dim): Int

Find the argument minimum of this vector (index of minimum element).
Find the argument minimum of this vector (index of minimum element).
e
the ending index (exclusive) for the search
def argminNeg(e: Int = dim): Int

Return the argument minimum of this vector (-1 if its not negative).
Return the argument minimum of this vector (-1 if its not negative).
e
the ending index (exclusive) for the search
final def asInstanceOf[T0]: T0

Definition Classes
Any
def clone(): AnyRef

Attributes
protected[lang]
Definition Classes
AnyRef
Annotations
@throws()
def contains(x: Rational): Boolean

Determine whether x is contained in this vector.
Determine whether x is contained in this vector.
x
the element to be checked
def countNeg: Int

Count the number of strictly negative entries in this vector.
def countPos: Int

Count the number of strictly positive entries in this vector.
def cumulate: VectorR

Cumulate the values of this vector from left to right (e.
Cumulate the values of this vector from left to right (e.g., create a cdf from a pmf). Example: (4, 2, 3, 1) --> (4, 6, 9, 10)
val dim: Int

the dimension/size of the vector
def dot(b: VectorR): Rational

Compute the dot product (or inner product) of this vector with vector b.
Compute the dot product (or inner product) of this vector with vector b.
b
the other vector
final def eq(arg0: AnyRef): Boolean

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

Override equals to determine whether vector this equals vector b.
Override equals to determine whether vector this equals vector b.
b
the vector to compare with this

Definition Classes
VectorR → AnyRef → Any
def exists(pred: (Rational) ⇒ Boolean): Boolean

Determine whether the predicate pred holds for some element in this vector.
Determine whether the predicate pred holds for some element in this vector.
pred
the predicate to test (e.g., "_ == 5.")
def expand(more: Int = dim): VectorR

Expand the size (dim) of this vector by 'more' elements.
def finalize(): Unit

Attributes
protected[lang]
Definition Classes
AnyRef
Annotations
@throws()
def firstNeg(e: Int = dim): Int

Return the index of the first negative element in this vector (-1 otherwise).
Return the index of the first negative element in this vector (-1 otherwise).
e
the ending index (exclusive) for the search
def firstPos(e: Int = dim): Int

Return the index of the first positive element in this vector (-1 otherwise).
Return the index of the first positive element in this vector (-1 otherwise).
e
the ending index (exclusive) for the search
def flaw(method: String, message: String): Unit

Show the flaw by printing the error message.
Show the flaw by printing the error message.
method
the method where the error occurred
message
the error message

Definition Classes
Error
def foreach[U](f: (Rational) ⇒ U): Unit

Iterate over the vector element by element.
Iterate over the vector element by element.
f
the function to apply
final def getClass(): java.lang.Class[_]

Definition Classes
AnyRef → Any
def hashCode(): Int

Must also override hashCode to be be compatible with equals.
Must also override hashCode to be be compatible with equals.

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

Definition Classes
Any
def isNonnegative: Boolean

Check whether this vector is nonnegative (has no negative elements).
def mag: Rational

Find the element with the greatest magnitude in this vector.
def max(b: VectorR): VectorR

Take the maximum of this vector with vector b (element-by element).
Take the maximum of this vector with vector b (element-by element).
b
the other vector
def max(e: Int = dim): Rational

Find the maximum element in this vector.
Find the maximum element in this vector.
e
the ending index (exclusive) for the search
def min(b: VectorR): VectorR

Take the minimum of this vector with vector b (element-by element).
Take the minimum of this vector with vector b (element-by element).
b
the other vector
def min(e: Int = dim): Rational

Find the minimum element in this vector.
Find the minimum element in this vector.
e
the ending index (exclusive) for the search
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def norm: Rational

Compute the Euclidean norm (2-norm) of this vector.
def norm1: Rational

Compute the Manhattan norm (1-norm) of this vector.
def normSq: Rational

Compute the Euclidean norm (2-norm) squared of this vector.
def normalize: VectorR

Normalize this vector so that it sums to one (like a probability vector).
def normalize1: VectorR

Normalize this vector to have a maximum of one.
def normalizeU: VectorR

Normalize this vector so its length is one (unit vector).
final def notify(): Unit

Definition Classes
AnyRef
final def notifyAll(): Unit

Definition Classes
AnyRef
def oneAt(j: Int, size: Int = dim): VectorR

Create a vector of the form (0, .
Create a vector of the form (0, ... 1, ... 0) where the 1 is at position j.
j
the position to place the 1
size
the size of the vector (upper bound = size - 1)
def ramp(size: Int = dim): VectorR

Create a ramp-up vector of increasing values: 0, 1, 2, .
Create a ramp-up vector of increasing values: 0, 1, 2, ..., size - 1.
size
the size of the vector (upper bound = size - 1)
def sameDimensions(b: VectorR): Boolean

Check whether the other vector is at least as long as this vector.
Check whether the other vector is at least as long as this vector.
b
the other vector
def select(index: Array[Int]): VectorR

Select a subset of elements of this vector corresponding to a index/basis.
Select a subset of elements of this vector corresponding to a index/basis.
index
the set of index positions (e.g., 0, 2, 5)
def set(x: Rational): Unit

Set each value in this vector to x.
Set each value in this vector to x.
x
the value to be assigned
def setAll(u: Array[Rational]): Unit

Set the values in this vector to the values in array u.
Set the values in this vector to the values in array u.
u
the array of values to be assigned
def slice(from: Int, till: Int): VectorR

Slice this vector from to end.
Slice this vector from to end.
from
the start of the slice (included)
till
the end of the slice (excluded)
def sort(): Unit

Sort this vector in-place in non-decreasing order.
def sq: VectorR

Square each element of this vector.
def sum: Rational

Sum the elements of this vector.
def sum_ne(i: Int): Rational

Sum the elements of this vector skipping the i-th element.
Sum the elements of this vector skipping the i-th element.
i
the index of the element to skip
def sum_pos: Rational

Sum the positive (> 0) elements of this vector.
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
def toString(): String

Convert this vector to a string.
Convert this vector to a string.

Definition Classes
VectorR → AnyRef → Any
def tryCompareTo[B >: VectorR](b: B)(implicit arg0: (B) ⇒ PartiallyOrdered[B]): Option[Int]

Compare this vector with vector b.
Compare this vector with vector b.
b
the other vector

Definition Classes
VectorR → PartiallyOrdered
def unary_-(): VectorR

Return the negative of this vector (unary minus).
def update(r: Range, u: VectorR): Unit

Set this vector's elements over the given range (vector slicing).
Set this vector's elements over the given range (vector slicing).
r
the given range
u
the vector to assign
def update(r: Range, x: Rational): Unit

Set this vector's elements over the given range (vector slicing).
Set this vector's elements over the given range (vector slicing).
r
the given range
x
the value to assign
def update(i: Int, x: Rational): Unit

Set this vector's element at the i-th index position.
Set this vector's element at the i-th index position.
i
the given index
x
the value to assign
var v: Array[Rational]

the 1D array used to store vector elements
the 1D array used to store vector elements

Attributes
protected
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()
def ~^(s: Rational): VectorR

Return the vector containing each element of this vector raised to the s-th power.
Return the vector containing each element of this vector raised to the s-th power.
s
the scalar exponent
def ~^(s: Long): VectorR

Return the vector containing each element of this vector raised to the s-th power.
Return the vector containing each element of this vector raised to the s-th power.
s
the scalar exponent
def ~^=(s: Rational): Unit

Raise each element of this vector to the s-th power.
Raise each element of this vector to the s-th power.
s
the scalar exponent
def ~^=(s: Long): Unit

Raise each element of this vector to the s-th power.
Raise each element of this vector to the s-th power.
s
the scalar exponent

VectorR

class VectorR extends PartiallyOrdered[VectorR] with Error with Serializable

Instance Constructors

new VectorR(u: VectorR)

new VectorR(u: Array[Rational])

new VectorR(dim: Int, v: Array[Rational] = null)

Value Members

final def !=(arg0: AnyRef): Boolean

final def !=(arg0: Any): Boolean

final def ##(): Int

def *(m: Matrir): VectorR

def *(s: Double): VectorR

def *(s: Rational): VectorR

def *(b: VectorR): VectorR

def *=(s: Double): VectorR

def *=(s: Rational): VectorR

def *=(b: VectorR): VectorR

def +(s: (Rational, Int)): VectorR

def +(s: Double): VectorR

def +(s: Rational): VectorR

def +(b: VectorR): VectorR

def ++(b: Double): VectorR

def ++(b: Rational): VectorR

def ++(b: VectorR): VectorR

def +=(s: Double): VectorR

def +=(s: Rational): VectorR

def +=(b: VectorR): VectorR

def -(s: (Rational, Int)): VectorR

def -(s: Double): VectorR

def -(s: Rational): VectorR

def -(b: VectorR): VectorR

def -=(s: Double): VectorR

def -=(s: Rational): VectorR

def -=(b: VectorR): VectorR

def /(s: Double): VectorR

def /(s: Rational): VectorR

def /(b: VectorR): VectorR

def /=(s: Double): VectorR

def /=(s: Rational): VectorR

def /=(b: VectorR): VectorR

def <[B >: VectorR](that: B)(implicit arg0: (B) ⇒ PartiallyOrdered[B]): Boolean

def <=[B >: VectorR](that: B)(implicit arg0: (B) ⇒ PartiallyOrdered[B]): Boolean

final def ==(arg0: AnyRef): Boolean

final def ==(arg0: Any): Boolean

def >[B >: VectorR](that: B)(implicit arg0: (B) ⇒ PartiallyOrdered[B]): Boolean

def >=[B >: VectorR](that: B)(implicit arg0: (B) ⇒ PartiallyOrdered[B]): Boolean

def _oneAt(j: Int, size: Int = dim): VectorR

def abs: VectorR

def apply(): Array[Rational]

def apply(r: Range): VectorR

def apply(i: Int): Rational

def argmax(e: Int = dim): Int

def argmaxPos(e: Int = dim): Int

def argmin(e: Int = dim): Int

def argminNeg(e: Int = dim): Int

final def asInstanceOf[T0]: T0

def clone(): AnyRef

def contains(x: Rational): Boolean

def countNeg: Int

def countPos: Int

def cumulate: VectorR

val dim: Int

def dot(b: VectorR): Rational

final def eq(arg0: AnyRef): Boolean

def equals(b: Any): Boolean

def exists(pred: (Rational) ⇒ Boolean): Boolean

def expand(more: Int = dim): VectorR

def finalize(): Unit

def firstNeg(e: Int = dim): Int

def firstPos(e: Int = dim): Int

def flaw(method: String, message: String): Unit

def foreach[U](f: (Rational) ⇒ U): Unit

final def getClass(): java.lang.Class[_]

def hashCode(): Int

final def isInstanceOf[T0]: Boolean

def isNonnegative: Boolean

def mag: Rational

def max(b: VectorR): VectorR

def max(e: Int = dim): Rational

def min(b: VectorR): VectorR