ComplexDoubleFloatMatrix

numarr.spad line 117 [edit on github]

This is a low-level domain which implements matrices (two dimensional arrays) of complex double precision floating point numbers. Indexing is 0 based, there is no bound checking (unless provided by lower level).

# : % -> NonNegativeInteger

from Aggregate

* : (%, %) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

* : (%, Complex(DoubleFloat)) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

* : (Complex(DoubleFloat), %) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

* : (Integer, %) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

* : (%, ComplexDoubleFloatVector) -> ComplexDoubleFloatVector

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

* : (ComplexDoubleFloatVector, %) -> ComplexDoubleFloatVector

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

+ : (%, %) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

- : % -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

- : (%, %) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

/ : (%, Complex(DoubleFloat)) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

= : (%, %) -> Boolean

from BasicType

Pfaffian : % -> Complex(DoubleFloat)

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

^ : (%, Integer) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

^ : (%, NonNegativeInteger) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

antisymmetric? : % -> Boolean

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

any? : (Mapping(Boolean, Complex(DoubleFloat)), %) -> Boolean

from HomogeneousAggregate(Complex(DoubleFloat))

array2 : List(List(Complex(DoubleFloat))) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

blockConcat : List(List(%)) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

blockSplit : (%, List(NonNegativeInteger), List(NonNegativeInteger)) -> List(List(%))

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

blockSplit : (%, PositiveInteger, PositiveInteger) -> List(List(%))

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

coerce : ComplexDoubleFloatVector -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

coerce : % -> OutputForm

from CoercibleTo(OutputForm)

colSlice : % -> Segment(Integer)

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

column : (%, Integer) -> ComplexDoubleFloatVector

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

columnSpace : % -> List(ComplexDoubleFloatVector)

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

copy : % -> %

from Aggregate

count : (Complex(DoubleFloat), %) -> NonNegativeInteger

from HomogeneousAggregate(Complex(DoubleFloat))

count : (Mapping(Boolean, Complex(DoubleFloat)), %) -> NonNegativeInteger

from HomogeneousAggregate(Complex(DoubleFloat))

determinant : % -> Complex(DoubleFloat)

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

diagonal? : % -> Boolean

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

diagonalMatrix : List(%) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

diagonalMatrix : List(Complex(DoubleFloat)) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

elt : (%, Integer, List(Integer)) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

elt : (%, Integer, List(Segment(Integer))) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

elt : (%, List(Integer), Integer) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

elt : (%, List(Integer), List(Integer)) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

elt : (%, List(Integer), Segment(Integer)) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

elt : (%, List(Segment(Integer)), Integer) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

elt : (%, List(Segment(Integer)), List(Segment(Integer))) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

elt : (%, List(Segment(Integer)), Segment(Integer)) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

elt : (%, Segment(Integer), List(Integer)) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

elt : (%, Segment(Integer), List(Segment(Integer))) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

elt : (%, Segment(Integer), Segment(Integer)) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

elt : (%, Integer, Integer) -> Complex(DoubleFloat)

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

elt : (%, Integer, Integer, Complex(DoubleFloat)) -> Complex(DoubleFloat)

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

empty : () -> %

from Aggregate

empty? : % -> Boolean

from Aggregate

eq? : (%, %) -> Boolean

from Aggregate

eval : (%, Complex(DoubleFloat), Complex(DoubleFloat)) -> % if Complex(DoubleFloat) has Evalable(Complex(DoubleFloat))

from InnerEvalable(Complex(DoubleFloat), Complex(DoubleFloat))

eval : (%, Equation(Complex(DoubleFloat))) -> % if Complex(DoubleFloat) has Evalable(Complex(DoubleFloat))

from Evalable(Complex(DoubleFloat))

eval : (%, List(Complex(DoubleFloat)), List(Complex(DoubleFloat))) -> % if Complex(DoubleFloat) has Evalable(Complex(DoubleFloat))

from InnerEvalable(Complex(DoubleFloat), Complex(DoubleFloat))

eval : (%, List(Equation(Complex(DoubleFloat)))) -> % if Complex(DoubleFloat) has Evalable(Complex(DoubleFloat))

from Evalable(Complex(DoubleFloat))

every? : (Mapping(Boolean, Complex(DoubleFloat)), %) -> Boolean

from HomogeneousAggregate(Complex(DoubleFloat))

exquo : (%, Complex(DoubleFloat)) -> Union(%, "failed")

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

fill! : (%, Complex(DoubleFloat)) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

hash : % -> SingleInteger

from Hashable

hashUpdate! : (HashState, %) -> HashState

from Hashable

horizConcat : (%, %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

horizConcat : List(%) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

horizSplit : (%, List(NonNegativeInteger)) -> List(%)

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

horizSplit : (%, PositiveInteger) -> List(%)

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

inverse : % -> Union(%, "failed")

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

kroneckerProduct : (%, %) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

kroneckerProduct : List(%) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

kroneckerSum : (%, %) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

kroneckerSum : List(%) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

kronecker_prod1 : (%, Integer, List(List(NonNegativeInteger)), List(%), NonNegativeInteger, NonNegativeInteger, Union(Complex(DoubleFloat), "one")) -> Void

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

latex : % -> String

from SetCategory

less? : (%, NonNegativeInteger) -> Boolean

from Aggregate

listOfLists : % -> List(List(Complex(DoubleFloat)))

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

map : (Mapping(Complex(DoubleFloat), Complex(DoubleFloat)), %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

map : (Mapping(Complex(DoubleFloat), Complex(DoubleFloat), Complex(DoubleFloat)), %, %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

map : (Mapping(Complex(DoubleFloat), Complex(DoubleFloat), Complex(DoubleFloat)), %, %, Complex(DoubleFloat)) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

map! : (Mapping(Complex(DoubleFloat), Complex(DoubleFloat)), %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

matrix : List(List(Complex(DoubleFloat))) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

matrix : (NonNegativeInteger, NonNegativeInteger, Mapping(Complex(DoubleFloat), Integer, Integer)) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

max : % -> Complex(DoubleFloat) if Complex(DoubleFloat) has OrderedSet

from HomogeneousAggregate(Complex(DoubleFloat))

max : (Mapping(Boolean, Complex(DoubleFloat), Complex(DoubleFloat)), %) -> Complex(DoubleFloat)

from HomogeneousAggregate(Complex(DoubleFloat))

maxColIndex : % -> Integer

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

maxRowIndex : % -> Integer

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

member? : (Complex(DoubleFloat), %) -> Boolean

from HomogeneousAggregate(Complex(DoubleFloat))

members : % -> List(Complex(DoubleFloat))

from HomogeneousAggregate(Complex(DoubleFloat))

min : % -> Complex(DoubleFloat) if Complex(DoubleFloat) has OrderedSet

from HomogeneousAggregate(Complex(DoubleFloat))

minColIndex : % -> Integer

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

minRowIndex : % -> Integer

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

minordet : % -> Complex(DoubleFloat)

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

more? : (%, NonNegativeInteger) -> Boolean

from Aggregate

ncols : % -> NonNegativeInteger

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

new : (NonNegativeInteger, NonNegativeInteger, Complex(DoubleFloat)) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

nrows : % -> NonNegativeInteger

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

nullSpace : % -> List(ComplexDoubleFloatVector)

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

nullity : % -> NonNegativeInteger

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

parts : % -> List(Complex(DoubleFloat))

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

positivePower : (%, Integer) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

qelt : (%, Integer, Integer) -> Complex(DoubleFloat)

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

qnew : (NonNegativeInteger, NonNegativeInteger) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

qsetelt! : (%, Integer, Integer, Complex(DoubleFloat)) -> Complex(DoubleFloat)

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

rank : % -> NonNegativeInteger

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

row : (%, Integer) -> ComplexDoubleFloatVector

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

rowEchelon : % -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

rowSlice : % -> Segment(Integer)

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

sample : () -> %

from Aggregate

scalarMatrix : (NonNegativeInteger, Complex(DoubleFloat)) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setColumn! : (%, Integer, ComplexDoubleFloatVector) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setRow! : (%, Integer, ComplexDoubleFloatVector) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setelt! : (%, Integer, List(Integer), %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setelt! : (%, Integer, List(Segment(Integer)), %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setelt! : (%, List(Integer), Integer, %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setelt! : (%, List(Integer), List(Integer), %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setelt! : (%, List(Integer), Segment(Integer), %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setelt! : (%, List(Segment(Integer)), Integer, %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setelt! : (%, List(Segment(Integer)), List(Segment(Integer)), %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setelt! : (%, List(Segment(Integer)), Segment(Integer), %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setelt! : (%, Segment(Integer), List(Integer), %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setelt! : (%, Segment(Integer), List(Segment(Integer)), %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setelt! : (%, Segment(Integer), Segment(Integer), %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setelt! : (%, Integer, Integer, Complex(DoubleFloat)) -> Complex(DoubleFloat)

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

setsubMatrix! : (%, Integer, Integer, %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

size? : (%, NonNegativeInteger) -> Boolean

from Aggregate

smaller? : (%, %) -> Boolean

from Comparable

square? : % -> Boolean

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

squareTop : % -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

subMatrix : (%, Integer, Integer, Integer, Integer) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

swapColumns! : (%, Integer, Integer) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

swapRows! : (%, Integer, Integer) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

symmetric? : % -> Boolean

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

transpose : % -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

transpose : ComplexDoubleFloatVector -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

vertConcat : (%, %) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

vertConcat : List(%) -> %

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

vertSplit : (%, List(NonNegativeInteger)) -> List(%)

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

vertSplit : (%, PositiveInteger) -> List(%)

from TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

zero : (NonNegativeInteger, NonNegativeInteger) -> %

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

zero? : % -> Boolean

from MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

~= : (%, %) -> Boolean

from BasicType

Comparable

BasicType

Aggregate

InnerEvalable(Complex(DoubleFloat), Complex(DoubleFloat))

MatrixCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)

HomogeneousAggregate(Complex(DoubleFloat))

SetCategory

CoercibleTo(OutputForm)

Hashable

Evalable(Complex(DoubleFloat))

finiteAggregate

shallowlyMutable

TwoDimensionalArrayCategory(Complex(DoubleFloat), ComplexDoubleFloatVector, ComplexDoubleFloatVector)