java.lang.Object

org.scictrl.mp.orbitcorrect.DBMath

public final class DBMath extends Object

This class was generated by a SmartGuide.

Author:: igor@scictrl.com

Field Summary

Fields

Modifier and Type

Field

Description

static final int

BOTH

Tells to assamble whole matrix.

static final double

C

Speed of light in vacum.

static final double

CHARGE

Charge of electron in As.

static byte

K_CONVENTION

Constant K_CONVENTION=K_MAD

static final int

K_MAD

Constant K_MAD=-1

static final int

K_WILLE

Constant K_WILLE=1

static final double

MC2

m*DBMath.C^2 where m is mass of electron.

static final int

X_PART

Tells to assamble matrix only elements concerning X axis.

static final int

Z_PART

Tells to assamble matrix only elements concerning Z axis.
Method Summary

Modifier and Type

Method

Description

static final void

checkDimension(double[][] matrix)

checkDimension.

static double[][]

clone(double[][] m)

Returns copy of double[][] matrix.

static double

cosh(double a)

Returns the hyperbolic cosine of double value.

static void

defocussing(double k, double length, double[][] m, int how)

Assembles defocusing transfere matrix for magnet with quadrupole field.

static void

focussing(double k, double length, double[][] m, int how)

Assambles focusing matrix for magnet with quadrupole momentum.

static double[][]

identity()

Returns 5x5 dimensional identity matrix.

static double[][]

identity(double[][] m)

Returns identity matrix.

static double[][]

makeBetaMatrix(double betaX, double betaZ, double alphaX, double alphaZ)

Creates 5x5 matrix with beta function.

static double[][]

makeBetaMatrix(double betaX, double betaZ, double alphaX, double alphaZ, double[][] m)

Creates 5x5 matrix with beta function.

static double[][]

makeBetaMatrix(PositionedData beta, PositionedData alpha)

Creates 5x5 matrix with beta function.

static double[][]

makeDipole(double r, double length)

Creates matrix representing bending magnet.

static double[][]

makeDipole(double r, double k, double length)

Creates matrix representing bending magnet.

static double[][]

makeDipole(double r, double length, double[][] m)

Creates matrix representing bending magnet.

static double[][]

makeDipole(double r, double k, double length, double[][] matrix)

Creates matrix representing bending magnet.

static double[]

makeDispersionVector(double d, double dp)

Creates 5x5 matrix with beta function.

static double[]

makeDispersionVector(DispersionData d)

Creates 5x5 matrix with beta function.

static double[][]

makeDrift(double length)

Creates matrix representing enpty drift space.

static double[][]

makeDrift(double length, double[][] matrix)

Creates matrix representing enpty drift space.

static double[][]

makeQuadrupole(double k, double length)

Creates matrix representing quadrupole magnet.

static double[][]

makeQuadrupole(double k, double length, double[][] matrix)

Creates matrix representing quadrupole magnet.

static double[][]

makeWedge(double angle, double r)

Creates 5x5 matrix representing wedge foccusing correction on rectangular bending magnet.

static double

matrixPhase(double[][] m, double beta, double alpha, int which)

Return calculated phase shift of transfer matrix.

static double[]

multiply(double[][] a, double[] x)

Multiplies matrix and vector.

static double[][]

multiply(double[][] b, double[][] a)

Multiplies two matrices.

static double[][]

multiply(double[][] b, double[][] a, double[][] c)

Multiplies two matrices.

static double

sinh(double a)

Returns the hyperbolic sinus of double value.

static double

sqr(double a)

Returns the sqare of double value.

static double[][]

transpond(double[][] m)

Returns transpnder matrix.

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Details
- X_PART
  
  public static final int X_PART
  
  Tells to assamble matrix only elements concerning X axis.
  See Also:
  
  Constant Field Values
- Z_PART
  
  public static final int Z_PART
  
  Tells to assamble matrix only elements concerning Z axis.
  See Also:
  
  Constant Field Values
- BOTH
  
  public static final int BOTH
  
  Tells to assamble whole matrix.
  See Also:
  
  Constant Field Values
- CHARGE
  
  public static final double CHARGE
  
  Charge of electron in As.
  See Also:
  
  Constant Field Values
- MC2
  
  public static final double MC2
  
  m*DBMath.C^2 where m is mass of electron.
  See Also:
  
  Constant Field Values
- C
  
  public static final double C
  
  Speed of light in vacum.
  See Also:
  
  Constant Field Values
- K_MAD
  
  public static final int K_MAD
  
  Constant K_MAD=-1
  See Also:
  
  Constant Field Values
- K_WILLE
  
  public static final int K_WILLE
  
  Constant K_WILLE=1
  See Also:
  
  Constant Field Values
- K_CONVENTION
  
  public static byte K_CONVENTION
  
  Constant K_CONVENTION=K_MAD
Method Details
- checkDimension
  
  public static final void checkDimension(double[][] matrix) throws ArrayIndexOutOfBoundsException
  
  checkDimension.
  Parameters:
  
  matrix - an array of
  
  invalid reference
  
  double
  
  objects
  
  Throws:
  
  ArrayIndexOutOfBoundsException - if any.
- clone
  
  public static double[][] clone(double[][] m)
  
  Returns copy of double[][] matrix. All sub-arrays must be the same length.
  
  Parameters:
  
  m - a double[][] matrix
  
  Returns:
  
  the copy of argument
- cosh
  
  public static double cosh(double a)
  
  Returns the hyperbolic cosine of double value.
  
  Parameters:
  
  a - double value
  
  Returns:
  
  the hyperbolic cosine of argument
- defocussing
  
  public static void defocussing(double k, double length, double[][] m, int how)
  
  Assembles defocusing transfere matrix for magnet with quadrupole field. Defocussing part is in upper left corner and focussing in bottom right.
  
  Parameters:
  
  k - the double quadrupole stength of magnet
  
  length - the double length of magnet
  
  m - the double[][] matrix to be edited
  
  how - it specifies which part of quadrupole matrix is to be assembeled: RingMath.X_PART, RingMath.Z_PART, RingMath.BOTH
- focussing
  
  public static void focussing(double k, double length, double[][] m, int how)
  
  Assambles focusing matrix for magnet with quadrupole momentum. Docussing part is in upper left corner and defocussing in bottom right.
  
  Parameters:
  
  k - the double quadrupole stength of magnet
  
  length - the double length of magnet
  
  m - the double[5][5] matrix to be edited
  
  how - it specifies which part of quadrupole matrix is to be assambeled: RingMath.X_PART, RingMath.Z_PART, RingMath.BOTH.
- identity
  
  public static double[][] identity()
  
  Returns 5x5 dimensional identity matrix.
  
  Returns:
  
  the double[5][5] identity matrix
- identity
  
  public static double[][] identity(double[][] m)
  
  Returns identity matrix.
  Parameters:
  
  m - an array of
  
  invalid reference
  
  double
  
  objects
  
  Returns:
  
  the identity matrix
- makeBetaMatrix
  
  public static double[][] makeBetaMatrix(double betaX, double betaZ, double alphaX, double alphaZ)
  
  Creates 5x5 matrix with beta function. Its used to transfer beta values throu system.
  
  Parameters:
  
  betaX - a double
  
  betaZ - a double
  
  alphaX - a double
  
  alphaZ - a double
  
  Returns:
  
  the double[5][5] beta matrix
- makeBetaMatrix
  
  public static double[][] makeBetaMatrix(double betaX, double betaZ, double alphaX, double alphaZ, double[][] m)
  
  Creates 5x5 matrix with beta function. Its used to transfer beta values throu system.
  Parameters:
  
  betaX - a double
  
  betaZ - a double
  
  alphaX - a double
  
  alphaZ - a double
  
  m - an array of
  
  invalid reference
  
  double
  
  objects
  
  Returns:
  
  the double[5][5] beta matrix
- makeBetaMatrix
  
  public static double[][] makeBetaMatrix(PositionedData beta, PositionedData alpha)
  
  Creates 5x5 matrix with beta function. Its used to transfer beta values throu system.
  
  Parameters:
  
  beta - a PositionedData object
  
  alpha - a PositionedData object
  
  Returns:
  
  the double[5][5] beta matrix
- makeDipole
  
  public static double[][] makeDipole(double r, double length)
  
  Creates matrix representing bending magnet.
  
  Parameters:
  
  r - a double
  
  length - a double
  
  Returns:
  
  the double[5][5] bending matrix
- makeDipole
  
  public static double[][] makeDipole(double r, double length, double[][] m)
  
  Creates matrix representing bending magnet.
  Parameters:
  
  r - a double
  
  length - a double
  
  m - an array of
  
  invalid reference
  
  double
  
  objects
  
  Returns:
  
  the double[5][5] bending matrix
- makeDipole
  
  public static double[][] makeDipole(double r, double k, double length)
  
  Creates matrix representing bending magnet.
  
  Parameters:
  
  r - a double
  
  k - a double
  
  length - a double
  
  Returns:
  
  the double[5][5] bending matrix
- makeDipole
  
  public static double[][] makeDipole(double r, double k, double length, double[][] matrix)
  
  Creates matrix representing bending magnet.
  Parameters:
  
  r - a double
  
  k - a double
  
  length - a double
  
  matrix - an array of
  
  invalid reference
  
  double
  
  objects
  
  Returns:
  
  the double[5][5] bending matrix
- makeDispersionVector
  
  public static double[] makeDispersionVector(double d, double dp)
  
  Creates 5x5 matrix with beta function. Its used to transfer beta values throu system.
  
  Parameters:
  
  d - a double
  
  dp - a double
  
  Returns:
  
  the double[5][5] beta matrix
- makeDispersionVector
  
  public static double[] makeDispersionVector(DispersionData d)
  
  Creates 5x5 matrix with beta function. Its used to transfer beta values throu system.
  
  Parameters:
  
  d - a DispersionData object
  
  Returns:
  
  the double[5][5] beta matrix
- makeDrift
  
  public static double[][] makeDrift(double length)
  
  Creates matrix representing enpty drift space.
  
  Parameters:
  
  length - a double
  
  Returns:
  
  the double[5][5] drift matrix
- makeDrift
  
  public static double[][] makeDrift(double length, double[][] matrix)
  
  Creates matrix representing enpty drift space.
  Parameters:
  
  length - a double
  
  matrix - an array of
  
  invalid reference
  
  double
  
  objects
  
  Returns:
  
  the double[5][5] drift matrix
- makeQuadrupole
  
  public static double[][] makeQuadrupole(double k, double length)
  
  Creates matrix representing quadrupole magnet.
  
  Parameters:
  
  k - a double
  
  length - a double
  
  Returns:
  
  the double[5][5] quadrupole matrix
- makeQuadrupole
  
  public static double[][] makeQuadrupole(double k, double length, double[][] matrix)
  
  Creates matrix representing quadrupole magnet.
  Parameters:
  
  k - a double
  
  length - a double
  
  matrix - an array of
  
  invalid reference
  
  double
  
  objects
  
  Returns:
  
  the double[5][5] quadrupole matrix
- makeWedge
  
  public static double[][] makeWedge(double angle, double r)
  
  Creates 5x5 matrix representing wedge foccusing correction on rectangular bending magnet. If dipole magnet is rectangular, it's matrix is multiplyed from left and right with this matrix.
  
  Parameters:
  
  angle - a double
  
  r - a double
  
  Returns:
  
  the double[5][5] wedge focussing matrix
- matrixPhase
  
  public static double matrixPhase(double[][] m, double beta, double alpha, int which)
  
  Return calculated phase shift of transfer matrix. which tells wich space axsis to calculate. Valid values are X_PART and Z_PART.
  
  Parameters:
  
  m - double[5][5] transfer matrix
  
  beta - double beta function
  
  alpha - double optical function
  
  which - axsis to be calculated
  
  Returns:
  
  double calculated phase shift
- multiply
  
  public static double[][] multiply(double[][] b, double[][] a)
  
  Multiplies two matrices. b matrix is multiplied with a matrix from right. Dimensions of matrices are not important, except the width of b must be the same as height of a matrix.
  
  Parameters:
  
  b - the left double[][] matrix
  
  a - the right double[][] matrix
  
  Returns:
  
  double[][] product of b*a
- multiply
  
  public static double[][] multiply(double[][] b, double[][] a, double[][] c)
  
  Multiplies two matrices. b matrix is multiplied with a matrix from right. Dimensions of matrices are not important, except the width of b must be the same as height of a matrix.
  
  Parameters:
  
  b - the left double[][] matrix
  
  a - the right double[][] matrix
  
  c - result double[][] matrix
  
  Returns:
  
  double[][] product of c=b*a
- multiply
  
  public static double[] multiply(double[][] a, double[] x)
  
  Multiplies matrix and vector. b matrix is multiplied with a vector from right. The width of b must be the same as length of a vector. Returned vector has the same length as b matrix height.
  Parameters:
  
  a - the right double[] vector
  
  x - an array of
  
  invalid reference
  
  double
  
  objects
  
  Returns:
  
  double[] vector product of b*a
- sinh
  
  public static double sinh(double a)
  
  Returns the hyperbolic sinus of double value.
  
  Parameters:
  
  a - double value
  
  Returns:
  
  the hyperbolic sinus of argument
- sqr
  
  public static double sqr(double a)
  
  Returns the sqare of double value.
  
  Parameters:
  
  a - double value
  
  Returns:
  
  the square of argument
- transpond
  
  public static double[][] transpond(double[][] m)
  
  Returns transpnder matrix.
  
  Parameters:
  
  m - double[][] argument matrix
  
  Returns:
  
  double[][] transponded matrix

Class DBMath

Field Summary

Method Summary

Methods inherited from class java.lang.Object

Field Details

X_PART

Z_PART

BOTH

CHARGE

MC2

C

K_MAD

K_WILLE

K_CONVENTION

Method Details

checkDimension

clone

cosh

defocussing

focussing

identity

identity

makeBetaMatrix

makeBetaMatrix

makeBetaMatrix

makeDipole

makeDipole

makeDipole

makeDipole

makeDispersionVector

makeDispersionVector

makeDrift

makeDrift

makeQuadrupole

makeQuadrupole

makeWedge

matrixPhase

multiply

multiply

multiply

sinh

sqr

transpond