Package org.jblas

Class MatrixFunctions

java.lang.Object

org.jblas.MatrixFunctions

public class MatrixFunctions
extends java.lang.Object

This class provides the functions from java.lang.Math for matrices. The functions are applied to each element of the matrix.

Constructor Summary

Constructors

Constructor	Description
MatrixFunctions()

Method Summary

Modifier and Type	Method	Description
static double	abs(double x)
static float	abs(float x)
static DoubleMatrix	abs(DoubleMatrix x)	Returns a copy of this matrix where all elements are set to their absolute values.
static FloatMatrix	abs(FloatMatrix x)	Returns a copy of this matrix where all elements are set to their absolute values.
static ComplexDoubleMatrix	absi(ComplexDoubleMatrix x)
static ComplexFloatMatrix	absi(ComplexFloatMatrix x)
static DoubleMatrix	absi(DoubleMatrix x)	Sets all elements in this matrix to their absolute values.
static FloatMatrix	absi(FloatMatrix x)	Sets all elements in this matrix to their absolute values.
static double	acos(double x)
static float	acos(float x)
static DoubleMatrix	acos(DoubleMatrix x)	Returns a copy of this matrix where the trigonometric acos function is applied element wise.
static FloatMatrix	acos(FloatMatrix x)	Returns a copy of this matrix where the trigonometric acos function is applied element wise.
static DoubleMatrix	acosi(DoubleMatrix x)	Applies the trigonometric arccosine function element wise on this matrix.
static FloatMatrix	acosi(FloatMatrix x)	Applies the trigonometric arccosine function element wise on this matrix.
static double	asin(double x)
static float	asin(float x)
static DoubleMatrix	asin(DoubleMatrix x)
static FloatMatrix	asin(FloatMatrix x)
static DoubleMatrix	asini(DoubleMatrix x)	Applies the trigonometric arcsine function element wise on this matrix.
static FloatMatrix	asini(FloatMatrix x)	Applies the trigonometric arcsine function element wise on this matrix.
static double	atan(double x)
static float	atan(float x)
static DoubleMatrix	atan(DoubleMatrix x)
static FloatMatrix	atan(FloatMatrix x)
static DoubleMatrix	atani(DoubleMatrix x)	Applies the trigonometric arctangend function element wise on this matrix.
static FloatMatrix	atani(FloatMatrix x)	Applies the trigonometric arctangend function element wise on this matrix.
static double	cbrt(double x)
static float	cbrt(float x)
static DoubleMatrix	cbrt(DoubleMatrix x)
static FloatMatrix	cbrt(FloatMatrix x)
static DoubleMatrix	cbrti(DoubleMatrix x)	Applies the cube root function element wise on this matrix.
static FloatMatrix	cbrti(FloatMatrix x)	Applies the cube root function element wise on this matrix.
static double	ceil(double x)
static float	ceil(float x)
static DoubleMatrix	ceil(DoubleMatrix x)
static FloatMatrix	ceil(FloatMatrix x)
static DoubleMatrix	ceili(DoubleMatrix x)	Element-wise round up by applying the ceil function on each element.
static FloatMatrix	ceili(FloatMatrix x)	Element-wise round up by applying the ceil function on each element.
static double	cos(double x)
static float	cos(float x)
static DoubleMatrix	cos(DoubleMatrix x)
static FloatMatrix	cos(FloatMatrix x)
static double	cosh(double x)
static float	cosh(float x)
static DoubleMatrix	cosh(DoubleMatrix x)
static FloatMatrix	cosh(FloatMatrix x)
static DoubleMatrix	coshi(DoubleMatrix x)	Applies the hyperbolic cosine function element-wise on this matrix.
static FloatMatrix	coshi(FloatMatrix x)	Applies the hyperbolic cosine function element-wise on this matrix.
static DoubleMatrix	cosi(DoubleMatrix x)	Applies the cosine function element-wise on this matrix.
static FloatMatrix	cosi(FloatMatrix x)	Applies the cosine function element-wise on this matrix.
static FloatMatrix	doubleToFloat(DoubleMatrix dm)
static double	exp(double x)
static float	exp(float x)
static DoubleMatrix	exp(DoubleMatrix x)
static FloatMatrix	exp(FloatMatrix x)
static DoubleMatrix	expi(DoubleMatrix x)	Applies the exponential function element-wise on this matrix.
static FloatMatrix	expi(FloatMatrix x)	Applies the exponential function element-wise on this matrix.
static DoubleMatrix	expm(DoubleMatrix A)	Calculate matrix exponential of a square matrix.
static FloatMatrix	expm(FloatMatrix A)	Calculate matrix exponential of a square matrix.
static DoubleMatrix	floatToDouble(FloatMatrix fm)
static double	floor(double x)
static float	floor(float x)
static DoubleMatrix	floor(DoubleMatrix x)
static FloatMatrix	floor(FloatMatrix x)
static DoubleMatrix	floori(DoubleMatrix x)	Element-wise round down by applying the floor function on each element.
static FloatMatrix	floori(FloatMatrix x)	Element-wise round down by applying the floor function on each element.
static double	log(double x)
static float	log(float x)
static DoubleMatrix	log(DoubleMatrix x)
static FloatMatrix	log(FloatMatrix x)
static double	log10(double x)
static float	log10(float x)
static DoubleMatrix	log10(DoubleMatrix x)
static FloatMatrix	log10(FloatMatrix x)
static DoubleMatrix	log10i(DoubleMatrix x)	Applies the logarithm with basis to 10 element-wise on this matrix.
static FloatMatrix	log10i(FloatMatrix x)	Applies the logarithm with basis to 10 element-wise on this matrix.
static DoubleMatrix	logi(DoubleMatrix x)	Applies the natural logarithm function element-wise on this matrix.
static FloatMatrix	logi(FloatMatrix x)	Applies the natural logarithm function element-wise on this matrix.
static double	pow(double x, double y)
static DoubleMatrix	pow(double b, DoubleMatrix x)
static float	pow(float x, float y)
static FloatMatrix	pow(float b, FloatMatrix x)
static DoubleMatrix	pow(DoubleMatrix x, double e)
static DoubleMatrix	pow(DoubleMatrix x, DoubleMatrix e)
static FloatMatrix	pow(FloatMatrix x, float e)
static FloatMatrix	pow(FloatMatrix x, FloatMatrix e)
static DoubleMatrix	powi(double base, DoubleMatrix x)
static FloatMatrix	powi(float base, FloatMatrix x)
static DoubleMatrix	powi(DoubleMatrix x, double d)	Element-wise power function.
static DoubleMatrix	powi(DoubleMatrix x, DoubleMatrix e)
static FloatMatrix	powi(FloatMatrix x, float d)	Element-wise power function.
static FloatMatrix	powi(FloatMatrix x, FloatMatrix e)
static double	signum(double x)
static float	signum(float x)
static DoubleMatrix	signum(DoubleMatrix x)
static FloatMatrix	signum(FloatMatrix x)
static DoubleMatrix	signumi(DoubleMatrix x)
static FloatMatrix	signumi(FloatMatrix x)
static double	sin(double x)
static float	sin(float x)
static DoubleMatrix	sin(DoubleMatrix x)
static FloatMatrix	sin(FloatMatrix x)
static double	sinh(double x)
static float	sinh(float x)
static DoubleMatrix	sinh(DoubleMatrix x)
static FloatMatrix	sinh(FloatMatrix x)
static DoubleMatrix	sinhi(DoubleMatrix x)
static FloatMatrix	sinhi(FloatMatrix x)
static DoubleMatrix	sini(DoubleMatrix x)
static FloatMatrix	sini(FloatMatrix x)
static double	sqrt(double x)
static float	sqrt(float x)
static DoubleMatrix	sqrt(DoubleMatrix x)
static FloatMatrix	sqrt(FloatMatrix x)
static DoubleMatrix	sqrti(DoubleMatrix x)
static FloatMatrix	sqrti(FloatMatrix x)
static double	tan(double x)
static float	tan(float x)
static DoubleMatrix	tan(DoubleMatrix x)
static FloatMatrix	tan(FloatMatrix x)
static double	tanh(double x)
static float	tanh(float x)
static DoubleMatrix	tanh(DoubleMatrix x)
static FloatMatrix	tanh(FloatMatrix x)
static DoubleMatrix	tanhi(DoubleMatrix x)
static FloatMatrix	tanhi(FloatMatrix x)
static DoubleMatrix	tani(DoubleMatrix x)
static FloatMatrix	tani(FloatMatrix x)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

MatrixFunctions

public MatrixFunctions()

Method Detail

absi

public static DoubleMatrix absi(DoubleMatrix x)

Sets all elements in this matrix to their absolute values. Note that this operation is in-place.

Returns:

this matrix

See Also:

abs(DoubleMatrix)

absi

public static ComplexDoubleMatrix absi(ComplexDoubleMatrix x)

acosi

public static DoubleMatrix acosi(DoubleMatrix x)

Applies the trigonometric arccosine function element wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

acos(DoubleMatrix)

asini

public static DoubleMatrix asini(DoubleMatrix x)

Applies the trigonometric arcsine function element wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

asin(DoubleMatrix)

atani

public static DoubleMatrix atani(DoubleMatrix x)

Applies the trigonometric arctangend function element wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

atan(DoubleMatrix)

cbrti

public static DoubleMatrix cbrti(DoubleMatrix x)

Applies the cube root function element wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

cbrt(DoubleMatrix)

ceili

public static DoubleMatrix ceili(DoubleMatrix x)

Element-wise round up by applying the ceil function on each element. Note that this is an in-place operation.

Returns:

this matrix

See Also:

ceil(DoubleMatrix)

cosi

public static DoubleMatrix cosi(DoubleMatrix x)

Applies the cosine function element-wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

cos(DoubleMatrix)

coshi

public static DoubleMatrix coshi(DoubleMatrix x)

Applies the hyperbolic cosine function element-wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

cosh(DoubleMatrix)

expi

public static DoubleMatrix expi(DoubleMatrix x)

Applies the exponential function element-wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

exp(DoubleMatrix)

floori

public static DoubleMatrix floori(DoubleMatrix x)

Element-wise round down by applying the floor function on each element. Note that this is an in-place operation.

Returns:

this matrix

See Also:

floor(DoubleMatrix)

logi

public static DoubleMatrix logi(DoubleMatrix x)

Applies the natural logarithm function element-wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

log(DoubleMatrix)

log10i

public static DoubleMatrix log10i(DoubleMatrix x)

Applies the logarithm with basis to 10 element-wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

log10(DoubleMatrix)

powi

public static DoubleMatrix powi(DoubleMatrix x,
                                double d)

Element-wise power function. Replaces each element with its power of d.Note that this is an in-place operation.

Parameters:

d - the exponent

Returns:

this matrix

See Also:

pow(DoubleMatrix,double)

powi

public static DoubleMatrix powi(double base,
                                DoubleMatrix x)

powi

public static DoubleMatrix powi(DoubleMatrix x,
                                DoubleMatrix e)

signumi

public static DoubleMatrix signumi(DoubleMatrix x)

sini

public static DoubleMatrix sini(DoubleMatrix x)

sinhi

public static DoubleMatrix sinhi(DoubleMatrix x)

sqrti

public static DoubleMatrix sqrti(DoubleMatrix x)

tani

public static DoubleMatrix tani(DoubleMatrix x)

tanhi

public static DoubleMatrix tanhi(DoubleMatrix x)

abs

public static DoubleMatrix abs(DoubleMatrix x)

Returns a copy of this matrix where all elements are set to their absolute values.

Returns:

copy of this matrix

See Also:

absi(DoubleMatrix)

acos

public static DoubleMatrix acos(DoubleMatrix x)

Returns a copy of this matrix where the trigonometric acos function is applied element wise.

Returns:

copy of this matrix

See Also:

acosi(DoubleMatrix)

asin

public static DoubleMatrix asin(DoubleMatrix x)

atan

public static DoubleMatrix atan(DoubleMatrix x)

cbrt

public static DoubleMatrix cbrt(DoubleMatrix x)

ceil

public static DoubleMatrix ceil(DoubleMatrix x)

cos

public static DoubleMatrix cos(DoubleMatrix x)

cosh

public static DoubleMatrix cosh(DoubleMatrix x)

exp

public static DoubleMatrix exp(DoubleMatrix x)

floor

public static DoubleMatrix floor(DoubleMatrix x)

log

public static DoubleMatrix log(DoubleMatrix x)

log10

public static DoubleMatrix log10(DoubleMatrix x)

pow

public static double pow(double x,
                         double y)

pow

public static DoubleMatrix pow(DoubleMatrix x,
                               double e)

pow

public static DoubleMatrix pow(double b,
                               DoubleMatrix x)

pow

public static DoubleMatrix pow(DoubleMatrix x,
                               DoubleMatrix e)

signum

public static DoubleMatrix signum(DoubleMatrix x)

sin

public static DoubleMatrix sin(DoubleMatrix x)

sinh

public static DoubleMatrix sinh(DoubleMatrix x)

sqrt

public static DoubleMatrix sqrt(DoubleMatrix x)

tan

public static DoubleMatrix tan(DoubleMatrix x)

tanh

public static DoubleMatrix tanh(DoubleMatrix x)

abs

public static double abs(double x)

acos

public static double acos(double x)

asin

public static double asin(double x)

atan

public static double atan(double x)

cbrt

public static double cbrt(double x)

ceil

public static double ceil(double x)

cos

public static double cos(double x)

cosh

public static double cosh(double x)

exp

public static double exp(double x)

floor

public static double floor(double x)

log

public static double log(double x)

log10

public static double log10(double x)

signum

public static double signum(double x)

sin

public static double sin(double x)

sinh

public static double sinh(double x)

sqrt

public static double sqrt(double x)

tan

public static double tan(double x)

tanh

public static double tanh(double x)

expm

public static DoubleMatrix expm(DoubleMatrix A)

Calculate matrix exponential of a square matrix. A scaled Pade approximation algorithm is used. The algorithm has been directly translated from Golub & Van Loan "Matrix Computations", algorithm 11.3.1. Special Horner techniques from 11.2 are also used to minimize the number of matrix multiplications.

Parameters:

A - square matrix

Returns:

matrix exponential of A

floatToDouble

public static DoubleMatrix floatToDouble(FloatMatrix fm)

doubleToFloat

public static FloatMatrix doubleToFloat(DoubleMatrix dm)

absi

public static FloatMatrix absi(FloatMatrix x)

Sets all elements in this matrix to their absolute values. Note that this operation is in-place.

Returns:

this matrix

See Also:

abs(FloatMatrix)

absi

public static ComplexFloatMatrix absi(ComplexFloatMatrix x)

acosi

public static FloatMatrix acosi(FloatMatrix x)

Applies the trigonometric arccosine function element wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

acos(FloatMatrix)

asini

public static FloatMatrix asini(FloatMatrix x)

Applies the trigonometric arcsine function element wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

asin(FloatMatrix)

atani

public static FloatMatrix atani(FloatMatrix x)

Applies the trigonometric arctangend function element wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

atan(FloatMatrix)

cbrti

public static FloatMatrix cbrti(FloatMatrix x)

Applies the cube root function element wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

cbrt(FloatMatrix)

ceili

public static FloatMatrix ceili(FloatMatrix x)

Element-wise round up by applying the ceil function on each element. Note that this is an in-place operation.

Returns:

this matrix

See Also:

ceil(FloatMatrix)

cosi

public static FloatMatrix cosi(FloatMatrix x)

Applies the cosine function element-wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

cos(FloatMatrix)

coshi

public static FloatMatrix coshi(FloatMatrix x)

Applies the hyperbolic cosine function element-wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

cosh(FloatMatrix)

expi

public static FloatMatrix expi(FloatMatrix x)

Applies the exponential function element-wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

exp(FloatMatrix)

floori

public static FloatMatrix floori(FloatMatrix x)

Element-wise round down by applying the floor function on each element. Note that this is an in-place operation.

Returns:

this matrix

See Also:

floor(FloatMatrix)

logi

public static FloatMatrix logi(FloatMatrix x)

Applies the natural logarithm function element-wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

log(FloatMatrix)

log10i

public static FloatMatrix log10i(FloatMatrix x)

Applies the logarithm with basis to 10 element-wise on this matrix. Note that this is an in-place operation.

Returns:

this matrix

See Also:

log10(FloatMatrix)

powi

public static FloatMatrix powi(FloatMatrix x,
                               float d)

Element-wise power function. Replaces each element with its power of d.Note that this is an in-place operation.

Parameters:

d - the exponent

Returns:

this matrix

See Also:

pow(FloatMatrix,float)

powi

public static FloatMatrix powi(float base,
                               FloatMatrix x)

powi

public static FloatMatrix powi(FloatMatrix x,
                               FloatMatrix e)

signumi

public static FloatMatrix signumi(FloatMatrix x)

sini

public static FloatMatrix sini(FloatMatrix x)

sinhi

public static FloatMatrix sinhi(FloatMatrix x)

sqrti

public static FloatMatrix sqrti(FloatMatrix x)

tani

public static FloatMatrix tani(FloatMatrix x)

tanhi

public static FloatMatrix tanhi(FloatMatrix x)

abs

public static FloatMatrix abs(FloatMatrix x)

Returns a copy of this matrix where all elements are set to their absolute values.

Returns:

copy of this matrix

See Also:

absi(FloatMatrix)

acos

public static FloatMatrix acos(FloatMatrix x)

Returns a copy of this matrix where the trigonometric acos function is applied element wise.

Returns:

copy of this matrix

See Also:

acosi(FloatMatrix)

asin

public static FloatMatrix asin(FloatMatrix x)

atan

public static FloatMatrix atan(FloatMatrix x)

cbrt

public static FloatMatrix cbrt(FloatMatrix x)

ceil

public static FloatMatrix ceil(FloatMatrix x)

cos

public static FloatMatrix cos(FloatMatrix x)

cosh

public static FloatMatrix cosh(FloatMatrix x)

exp

public static FloatMatrix exp(FloatMatrix x)

floor

public static FloatMatrix floor(FloatMatrix x)

log

public static FloatMatrix log(FloatMatrix x)

log10

public static FloatMatrix log10(FloatMatrix x)

pow

public static float pow(float x,
                        float y)

pow

public static FloatMatrix pow(FloatMatrix x,
                              float e)

pow

public static FloatMatrix pow(float b,
                              FloatMatrix x)

pow

public static FloatMatrix pow(FloatMatrix x,
                              FloatMatrix e)

signum

public static FloatMatrix signum(FloatMatrix x)

sin

public static FloatMatrix sin(FloatMatrix x)

sinh

public static FloatMatrix sinh(FloatMatrix x)

sqrt

public static FloatMatrix sqrt(FloatMatrix x)

tan

public static FloatMatrix tan(FloatMatrix x)

tanh

public static FloatMatrix tanh(FloatMatrix x)

abs

public static float abs(float x)

acos

public static float acos(float x)

asin

public static float asin(float x)

atan

public static float atan(float x)

cbrt

public static float cbrt(float x)

ceil

public static float ceil(float x)

cos

public static float cos(float x)

cosh

public static float cosh(float x)

exp

public static float exp(float x)

floor

public static float floor(float x)

log

public static float log(float x)

log10

public static float log10(float x)

signum

public static float signum(float x)

sin

public static float sin(float x)

sinh

public static float sinh(float x)

sqrt

public static float sqrt(float x)

tan

public static float tan(float x)

tanh

public static float tanh(float x)

expm

public static FloatMatrix expm(FloatMatrix A)

Calculate matrix exponential of a square matrix. A scaled Pade approximation algorithm is used. The algorithm has been directly translated from Golub & Van Loan "Matrix Computations", algorithm 11.3f.1. Special Horner techniques from 11.2f are also used to minimize the number of matrix multiplications.

Parameters:

A - square matrix

Returns:

matrix exponential of A