Module vecmath
Package javax.vecmath

Class Matrix3d

java.lang.Object
javax.vecmath.Matrix3d
All Implemented Interfaces:
Serializable, Cloneable
Direct Known Subclasses:
TMatrix3d

public class Matrix3d extends Object implements Serializable, Cloneable
A double precision floating point 3 by 3 matrix. Primarily to support rotations
Version:
specification 1.1, implementation $Revision: 1.14 $, $Date: 1999/10/05 07:03:50 $
Author:
Kenji hiranabe
See Also:
  • Field Summary

    Fields
    Modifier and Type
    Field
    Description
    double
    The first element of the first row.
    double
    The second element of the first row.
    double
    third element of the first row.
    double
    The first element of the second row.
    double
    The second element of the second row.
    double
    The third element of the second row.
    double
    The first element of the third row.
    double
    The second element of the third row.
    double
    The third element of the third row.
  • Constructor Summary

    Constructors
    Constructor
    Description
    Constructs and initializes a Matrix3d to all zeros.
    Matrix3d(double[] v)
    Constructs and initializes a Matrix3d from the specified 9 element array.
    Matrix3d(double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22)
    Constructs and initializes a Matrix3d from the specified nine values.
    Constructs a new matrix with the same values as the Matrix3d parameter.
    Constructs a new matrix with the same values as the Matrix3f parameter.
  • Method Summary

    Modifier and Type
    Method
    Description
    final void
    add(double scalar)
    Adds a scalar to each component of this matrix.
    final void
    add(double scalar, Matrix3d m1)
    Adds a scalar to each component of the matrix m1 and places the result into this.
    final void
    Sets the value of this matrix to sum of itself and matrix m1.
    final void
    Sets the value of this matrix to the matrix sum of matrices m1 and m2.
     
    final double
    Computes the determinant of this matrix.
    boolean
    epsilonEquals(Matrix3d m1, double epsilon)
    Returns true if the L-infinite distance between this matrix and matrix m1 is less than or equal to the epsilon parameter, otherwise returns false.
    boolean
    Returns true if the Object o1 is of type Matrix3d and all of the data members of t1 are equal to the corresponding data members in this Matrix3d.
    boolean
    Returns true if all of the data members of Matrix3d m1 are equal to the corresponding data members in this Matrix3d.
    final void
    getColumn(int column, double[] v)
    Copies the matrix values in the specified column into the array parameter.
    final void
    getColumn(int column, Vector3d v)
    Copies the matrix values in the specified column into the vector parameter.
    final double
    getElement(int row, int column)
    Retrieves the value at the specified row and column of this matrix.
    final void
    getRow(int row, double[] v)
    Copies the matrix values in the specified row into the array parameter.
    final void
    getRow(int row, Vector3d v)
    Copies the matrix values in the specified row into the vector parameter.
    final double
    Performs an SVD normalization of this matrix to calculate and return the uniform scale factor.
    int
    Returns a hash number based on the data values in this object.
    final void
    Sets the value of this matrix to its inverse.
    final void
    Sets the value of this matrix to the matrix inverse of the passed matrix m1.
    final void
    mul(double scalar)
    Multiplies each element of this matrix by a scalar.
    final void
    mul(double scalar, Matrix3d m1)
    Multiplies each element of matrix m1 by a scalar and places the result into this.
    final void
    Sets the value of this matrix to the result of multiplying itself with matrix m1.
    final void
    Sets the value of this matrix to the result of multiplying the two argument matrices together.
    final void
    Multiplies this matrix by matrix m1, does an SVD normalization of the result, and places the result back into this matrix this = SVDnorm(this*m1).
    final void
    Multiplies matrix m1 by matrix m2, does an SVD normalization of the result, and places the result into this matrix this = SVDnorm(m1*m2).
    final void
    Multiplies the transpose of matrix m1 times the transpose of matrix m2, and places the result into this.
    final void
    Multiplies the transpose of matrix m1 times matrix m2, and places the result into this.
    final void
    Multiplies matrix m1 times the transpose of matrix m2, and places the result into this.
    final void
    Negates the value of this matrix: this = -this.
    final void
    Sets the value of this matrix equal to the negation of of the Matrix3d parameter.
    final void
    Performs singular value decomposition normalization of this matrix.
    final void
    Perform singular value decomposition normalization of matrix m1 and place the normalized values into this.
    final void
    Perform cross product normalization of this matrix.
    final void
    Perform cross product normalization of matrix m1 and place the normalized values into this.
    final void
    rotX(double angle)
    Sets the value of this matrix to a rotation matrix about the x axis by the passed angle.
    final void
    rotY(double angle)
    Sets the value of this matrix to a rotation matrix about the y axis by the passed angle.
    final void
    rotZ(double angle)
    Sets the value of this matrix to a rotation matrix about the z axis by the passed angle.
    final void
    set(double scale)
    Sets the value of this matrix to a scale matrix with the passed scale amount.
    final void
    set(double[] m)
    Sets the values in this Matrix3d equal to the row-major array parameter (ie, the first four elements of the array will be copied into the first row of this matrix, etc.).
    final void
    Sets the value of this matrix to the matrix conversion of the double precision axis and angle argument.
    final void
    Sets the value of this matrix to the matrix conversion of the single precision axis and angle argument.
    final void
    Sets the value of this matrix to the value of the Matrix3d argument.
    final void
    Sets the value of this matrix to the double value of the Matrix3f argument.
    final void
    set(Quat4d q1)
    Sets the value of this matrix to the matrix conversion of the (double precision) quaternion argument.
    final void
    set(Quat4f q1)
    Sets the value of this matrix to the matrix conversion of the single precision quaternion argument.
    final void
    setColumn(int column, double[] v)
    Sets the specified column of this matrix3d to the four values provided.
    final void
    setColumn(int column, double x, double y, double z)
    Sets the specified column of this matrix3d to the three values provided.
    final void
    setColumn(int column, Vector3d v)
    Sets the specified column of this matrix3d to the vector provided.
    final void
    setElement(int row, int column, double value)
    Sets the specified element of this matrix3d to the value provided.
    final void
    Sets this Matrix3d to identity.
    final void
    setRow(int row, double[] v)
    Sets the specified row of this matrix3d to the four values provided.
    final void
    setRow(int row, double x, double y, double z)
    Sets the specified row of this matrix3d to the three values provided.
    final void
    setRow(int row, Vector3d v)
    Sets the specified row of this matrix3d to the Vector provided.
    final void
    setScale(double scale)
    Sets the scale component of the current matrix by factoring out the current scale (by doing an SVD) from the rotational component and multiplying by the new scale.
    final void
    Sets this matrix to all zeros.
    final void
    Sets the value of this matrix to the matrix difference of itself and matrix m1 (this = this - m1).
    final void
    Sets the value of this matrix to the matrix difference of matrices m1 and m2.
    Returns a string that contains the values of this Matrix3d.
    final void
    Transform the vector vec using this Matrix3d and place the result back into vec.
    final void
    Transform the vector vec using this Matrix3d and place the result into vecOut.
    final void
    Sets the value of this matrix to its transpose.
    final void
    Sets the value of this matrix to the transpose of the argument matrix

    Methods inherited from class java.lang.Object

    finalize, getClass, notify, notifyAll, wait, wait, wait
  • Field Details

    • m00

      public double m00
      The first element of the first row.
    • m01

      public double m01
      The second element of the first row.
    • m02

      public double m02
      third element of the first row.
    • m10

      public double m10
      The first element of the second row.
    • m11

      public double m11
      The second element of the second row.
    • m12

      public double m12
      The third element of the second row.
    • m20

      public double m20
      The first element of the third row.
    • m21

      public double m21
      The second element of the third row.
    • m22

      public double m22
      The third element of the third row.
  • Constructor Details

    • Matrix3d

      public Matrix3d(double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22)
      Constructs and initializes a Matrix3d from the specified nine values.
      Parameters:
      m00 - the [0][0] element
      m01 - the [0][1] element
      m02 - the [0][2] element
      m10 - the [1][0] element
      m11 - the [1][1] element
      m12 - the [1][2] element
      m20 - the [2][0] element
      m21 - the [2][1] element
      m22 - the [2][2] element
    • Matrix3d

      public Matrix3d(double[] v)
      Constructs and initializes a Matrix3d from the specified 9 element array. this.m00 =v[0], this.m01=v[1], etc.
      Parameters:
      v - the array of length 9 containing in order
    • Matrix3d

      public Matrix3d(Matrix3d m1)
      Constructs a new matrix with the same values as the Matrix3d parameter.
      Parameters:
      m1 - The source matrix.
    • Matrix3d

      public Matrix3d(Matrix3f m1)
      Constructs a new matrix with the same values as the Matrix3f parameter.
      Parameters:
      m1 - The source matrix.
    • Matrix3d

      public Matrix3d()
      Constructs and initializes a Matrix3d to all zeros.
  • Method Details

    • toString

      public String toString()
      Returns a string that contains the values of this Matrix3d.
      Overrides:
      toString in class Object
      Returns:
      the String representation
    • setIdentity

      public final void setIdentity()
      Sets this Matrix3d to identity.
    • setScale

      public final void setScale(double scale)
      Sets the scale component of the current matrix by factoring out the current scale (by doing an SVD) from the rotational component and multiplying by the new scale.
      Parameters:
      scale - the new scale amount
    • setElement

      public final void setElement(int row, int column, double value)
      Sets the specified element of this matrix3d to the value provided.
      Parameters:
      row - the row number to be modified (zero indexed)
      column - the column number to be modified (zero indexed)
      value - the new value
    • getElement

      public final double getElement(int row, int column)
      Retrieves the value at the specified row and column of this matrix.
      Parameters:
      row - the row number to be retrieved (zero indexed)
      column - the column number to be retrieved (zero indexed)
      Returns:
      the value at the indexed element
    • setRow

      public final void setRow(int row, double x, double y, double z)
      Sets the specified row of this matrix3d to the three values provided.
      Parameters:
      row - the row number to be modified (zero indexed)
      x - the first column element
      y - the second column element
      z - the third column element
    • setRow

      public final void setRow(int row, Vector3d v)
      Sets the specified row of this matrix3d to the Vector provided.
      Parameters:
      row - the row number to be modified (zero indexed)
      v - the replacement row
    • setRow

      public final void setRow(int row, double[] v)
      Sets the specified row of this matrix3d to the four values provided.
      Parameters:
      row - the row number to be modified (zero indexed)
      v - the replacement row
    • getRow

      public final void getRow(int row, double[] v)
      Copies the matrix values in the specified row into the array parameter.
      Parameters:
      row - the matrix row
      v - The array into which the matrix row values will be copied
    • getRow

      public final void getRow(int row, Vector3d v)
      Copies the matrix values in the specified row into the vector parameter.
      Parameters:
      row - the matrix row
      v - The vector into which the matrix row values will be copied
    • setColumn

      public final void setColumn(int column, double x, double y, double z)
      Sets the specified column of this matrix3d to the three values provided.
      Parameters:
      column - the column number to be modified (zero indexed)
      x - the first row element
      y - the second row element
      z - the third row element
    • setColumn

      public final void setColumn(int column, Vector3d v)
      Sets the specified column of this matrix3d to the vector provided.
      Parameters:
      column - the column number to be modified (zero indexed)
      v - the replacement column
    • setColumn

      public final void setColumn(int column, double[] v)
      Sets the specified column of this matrix3d to the four values provided.
      Parameters:
      column - the column number to be modified (zero indexed)
      v - the replacement column
    • getColumn

      public final void getColumn(int column, Vector3d v)
      Copies the matrix values in the specified column into the vector parameter.
      Parameters:
      column - the matrix column
      v - The vector into which the matrix row values will be copied
    • getColumn

      public final void getColumn(int column, double[] v)
      Copies the matrix values in the specified column into the array parameter.
      Parameters:
      column - the matrix column
      v - The array into which the matrix row values will be copied
    • getScale

      public final double getScale()
      Performs an SVD normalization of this matrix to calculate and return the uniform scale factor. This matrix is not modified.
      Returns:
      the scale factor of this matrix
    • add

      public final void add(double scalar)
      Adds a scalar to each component of this matrix.
      Parameters:
      scalar - The scalar adder.
    • add

      public final void add(double scalar, Matrix3d m1)
      Adds a scalar to each component of the matrix m1 and places the result into this. Matrix m1 is not modified.
      Parameters:
      scalar - The scalar adder.
    • add

      public final void add(Matrix3d m1, Matrix3d m2)
      Sets the value of this matrix to the matrix sum of matrices m1 and m2.
      Parameters:
      m1 - the first matrix
      m2 - the second matrix
    • add

      public final void add(Matrix3d m1)
      Sets the value of this matrix to sum of itself and matrix m1.
      Parameters:
      m1 - the other matrix
    • sub

      public final void sub(Matrix3d m1, Matrix3d m2)
      Sets the value of this matrix to the matrix difference of matrices m1 and m2.
      Parameters:
      m1 - the first matrix
      m2 - the second matrix
    • sub

      public final void sub(Matrix3d m1)
      Sets the value of this matrix to the matrix difference of itself and matrix m1 (this = this - m1).
      Parameters:
      m1 - the other matrix
    • transpose

      public final void transpose()
      Sets the value of this matrix to its transpose.
    • transpose

      public final void transpose(Matrix3d m1)
      Sets the value of this matrix to the transpose of the argument matrix
      Parameters:
      m1 - the matrix to be transposed
    • set

      public final void set(Quat4d q1)
      Sets the value of this matrix to the matrix conversion of the (double precision) quaternion argument.
      Parameters:
      q1 - the quaternion to be converted
    • set

      public final void set(AxisAngle4d a1)
      Sets the value of this matrix to the matrix conversion of the double precision axis and angle argument.
      Parameters:
      a1 - the axis and angle to be converted
    • set

      public final void set(Quat4f q1)
      Sets the value of this matrix to the matrix conversion of the single precision quaternion argument.
      Parameters:
      q1 - the quaternion to be converted
    • set

      public final void set(AxisAngle4f a1)
      Sets the value of this matrix to the matrix conversion of the single precision axis and angle argument.
      Parameters:
      a1 - the axis and angle to be converted
    • set

      public final void set(Matrix3d m1)
      Sets the value of this matrix to the value of the Matrix3d argument.
    • set

      public final void set(Matrix3f m1)
      Sets the value of this matrix to the double value of the Matrix3f argument.
      Parameters:
      m1 - the matrix3f to be converted to double
    • set

      public final void set(double[] m)
      Sets the values in this Matrix3d equal to the row-major array parameter (ie, the first four elements of the array will be copied into the first row of this matrix, etc.).
    • invert

      public final void invert(Matrix3d m1)
      Sets the value of this matrix to the matrix inverse of the passed matrix m1.
      Parameters:
      m1 - the matrix to be inverted
    • invert

      public final void invert()
      Sets the value of this matrix to its inverse.
    • determinant

      public final double determinant()
      Computes the determinant of this matrix.
      Returns:
      the determinant of the matrix
    • set

      public final void set(double scale)
      Sets the value of this matrix to a scale matrix with the passed scale amount.
      Parameters:
      scale - the scale factor for the matrix
    • rotX

      public final void rotX(double angle)
      Sets the value of this matrix to a rotation matrix about the x axis by the passed angle.
      Parameters:
      angle - the angle to rotate about the X axis in radians
    • rotY

      public final void rotY(double angle)
      Sets the value of this matrix to a rotation matrix about the y axis by the passed angle.
      Parameters:
      angle - the angle to rotate about the Y axis in radians
    • rotZ

      public final void rotZ(double angle)
      Sets the value of this matrix to a rotation matrix about the z axis by the passed angle.
      Parameters:
      angle - the angle to rotate about the Z axis in radians
    • mul

      public final void mul(double scalar)
      Multiplies each element of this matrix by a scalar.
      Parameters:
      scalar - The scalar multiplier.
    • mul

      public final void mul(double scalar, Matrix3d m1)
      Multiplies each element of matrix m1 by a scalar and places the result into this. Matrix m1 is not modified.
      Parameters:
      scalar - The scalar multiplier.
      m1 - The original matrix.
    • mul

      public final void mul(Matrix3d m1)
      Sets the value of this matrix to the result of multiplying itself with matrix m1.
      Parameters:
      m1 - the other matrix
    • mul

      public final void mul(Matrix3d m1, Matrix3d m2)
      Sets the value of this matrix to the result of multiplying the two argument matrices together.
      Parameters:
      m1 - the first matrix
      m2 - the second matrix
    • mulNormalize

      public final void mulNormalize(Matrix3d m1)
      Multiplies this matrix by matrix m1, does an SVD normalization of the result, and places the result back into this matrix this = SVDnorm(this*m1).
      Parameters:
      m1 - the matrix on the right hand side of the multiplication
    • mulNormalize

      public final void mulNormalize(Matrix3d m1, Matrix3d m2)
      Multiplies matrix m1 by matrix m2, does an SVD normalization of the result, and places the result into this matrix this = SVDnorm(m1*m2).
      Parameters:
      m1 - the matrix on the left hand side of the multiplication
      m2 - the matrix on the right hand side of the multiplication
    • mulTransposeBoth

      public final void mulTransposeBoth(Matrix3d m1, Matrix3d m2)
      Multiplies the transpose of matrix m1 times the transpose of matrix m2, and places the result into this.
      Parameters:
      m1 - The matrix on the left hand side of the multiplication
      m2 - The matrix on the right hand side of the multiplication
    • mulTransposeRight

      public final void mulTransposeRight(Matrix3d m1, Matrix3d m2)
      Multiplies matrix m1 times the transpose of matrix m2, and places the result into this.
      Parameters:
      m1 - The matrix on the left hand side of the multiplication
      m2 - The matrix on the right hand side of the multiplication
    • mulTransposeLeft

      public final void mulTransposeLeft(Matrix3d m1, Matrix3d m2)
      Multiplies the transpose of matrix m1 times matrix m2, and places the result into this.
      Parameters:
      m1 - The matrix on the left hand side of the multiplication
      m2 - The matrix on the right hand side of the multiplication
    • normalize

      public final void normalize()
      Performs singular value decomposition normalization of this matrix.
    • normalize

      public final void normalize(Matrix3d m1)
      Perform singular value decomposition normalization of matrix m1 and place the normalized values into this.
      Parameters:
      m1 - Provides the matrix values to be normalized
    • normalizeCP

      public final void normalizeCP()
      Perform cross product normalization of this matrix.
    • normalizeCP

      public final void normalizeCP(Matrix3d m1)
      Perform cross product normalization of matrix m1 and place the normalized values into this.
      Parameters:
      m1 - Provides the matrix values to be normalized
    • equals

      public boolean equals(Matrix3d m1)
      Returns true if all of the data members of Matrix3d m1 are equal to the corresponding data members in this Matrix3d.
      Parameters:
      m1 - The matrix with which the comparison is made.
      Returns:
      true or false
    • equals

      public boolean equals(Object o1)
      Returns true if the Object o1 is of type Matrix3d and all of the data members of t1 are equal to the corresponding data members in this Matrix3d.
      Overrides:
      equals in class Object
      Parameters:
      o1 - the object with which the comparison is made.
    • epsilonEquals

      public boolean epsilonEquals(Matrix3d m1, double epsilon)
      Returns true if the L-infinite distance between this matrix and matrix m1 is less than or equal to the epsilon parameter, otherwise returns false. The L-infinite distance is equal to MAX[i=0,1,2,3 ; j=0,1,2,3 ; abs(this.m(i,j) - m1.m(i,j)]
      Parameters:
      m1 - The matrix to be compared to this matrix
      epsilon - the threshold value
    • hashCode

      public int hashCode()
      Returns a hash number based on the data values in this object. Two different Matrix3d objects with identical data values (ie, returns true for equals(Matrix3d) ) will return the same hash number. Two objects with different data members may return the same hash value, although this is not likely.
      Overrides:
      hashCode in class Object
      Returns:
      the integer hash value
    • setZero

      public final void setZero()
      Sets this matrix to all zeros.
    • negate

      public final void negate()
      Negates the value of this matrix: this = -this.
    • negate

      public final void negate(Matrix3d m1)
      Sets the value of this matrix equal to the negation of of the Matrix3d parameter.
      Parameters:
      m1 - The source matrix
    • transform

      public final void transform(Tuple3d t)
      Transform the vector vec using this Matrix3d and place the result back into vec.
      Parameters:
      vec - the double precision vector to be transformed
    • transform

      public final void transform(Tuple3d t, Tuple3d result)
      Transform the vector vec using this Matrix3d and place the result into vecOut.
      Parameters:
      result - the vector into which the transformed values are placed
    • clone

      public Object clone()
      Overrides:
      clone in class Object