Package javax.vecmath

Class Matrix4d

  • All Implemented Interfaces:
    java.io.Serializable, java.lang.Cloneable

    public class Matrix4d
    extends java.lang.Object
    implements java.io.Serializable, java.lang.Cloneable
    A double precision floating point 4 by 4 matrix. Primarily to support 3D rotations.
    See Also:
    Serialized Form
    • Field Summary

      Fields 
      Modifier and Type Field Description
      double m00
      The first element of the first row.
      double m01
      The second element of the first row.
      double m02
      The third element of the first row.
      double m03
      The fourth element of the first row.
      double m10
      The first element of the second row.
      double m11
      The second element of the second row.
      double m12
      The third element of the second row.
      double m13
      The fourth element of the second row.
      double m20
      The first element of the third row.
      double m21
      The second element of the third row.
      double m22
      The third element of the third row.
      double m23
      The fourth element of the third row.
      double m30
      The first element of the fourth row.
      double m31
      The second element of the fourth row.
      double m32
      The third element of the fourth row.
      double m33
      The fourth element of the fourth row.
    • Constructor Summary

      Constructors 
      Constructor Description
      Matrix4d()
      Constructs and initializes a Matrix4d to all zeros.
      Matrix4d​(double[] v)
      Constructs and initializes a Matrix4d from the specified 16 element array.
      Matrix4d​(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33)
      Constructs and initializes a Matrix4d from the specified 16 values.
      Matrix4d​(Matrix3d m1, Vector3d t1, double s)
      Constructs and initializes a Matrix4f from the rotation matrix, translation, and scale values; the scale is applied only to the rotational components of the matrix (upper 3x3) and not to the translational components of the matrix.
      Matrix4d​(Matrix3f m1, Vector3d t1, double s)
      Constructs and initializes a Matrix4d from the rotation matrix, translation, and scale values; the scale is applied only to the rotational components of the matrix (upper 3x3) and not to the translational components of the matrix.
      Matrix4d​(Matrix4d m1)
      Constructs a new matrix with the same values as the Matrix4d parameter.
      Matrix4d​(Matrix4f m1)
      Constructs a new matrix with the same values as the Matrix4f parameter.
      Matrix4d​(Quat4d q1, Vector3d t1, double s)
      Constructs and initializes a Matrix4d from the quaternion, translation, and scale values; the scale is applied only to the rotational components of the matrix (upper 3x3) and not to the translational components.
      Matrix4d​(Quat4f q1, Vector3d t1, double s)
      Constructs and initializes a Matrix4d from the quaternion, translation, and scale values; the scale is applied only to the rotational components of the matrix (upper 3x3) and not to the translational components.
    • Method Summary

      All Methods Instance Methods Concrete Methods Deprecated Methods 
      Modifier and Type Method Description
      void add​(double scalar)
      Adds a scalar to each component of this matrix.
      void add​(double scalar, Matrix4d m1)
      Adds a scalar to each component of the matrix m1 and places the result into this.
      void add​(Matrix4d m1)
      Sets the value of this matrix to sum of itself and matrix m1.
      void add​(Matrix4d m1, Matrix4d m2)
      Sets the value of this matrix to the matrix sum of matrices m1 and m2.
      java.lang.Object clone()
      Creates a new object of the same class as this object.
      double determinant()
      Computes the determinant of this matrix.
      boolean epsilonEquals​(Matrix4d 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 epsilonEquals​(Matrix4d m1, float epsilon)
      Deprecated.
      Use epsilonEquals(Matrix4d,double) instead
      boolean equals​(java.lang.Object t1)
      Returns true if the Object t1 is of type Matrix4d and all of the data members of t1 are equal to the corresponding data members in this Matrix4d.
      boolean equals​(Matrix4d m1)
      Returns true if all of the data members of Matrix4d m1 are equal to the corresponding data members in this Matrix4d.
      void get​(Matrix3d m1)
      Performs an SVD normalization of this matrix in order to acquire the normalized rotational component; the values are placed into the Matrix3d parameter.
      double get​(Matrix3d m1, Vector3d t1)
      Performs an SVD normalization of this matrix to calculate the rotation as a 3x3 matrix, the translation, and the scale.
      void get​(Matrix3f m1)
      Performs an SVD normalization of this matrix in order to acquire the normalized rotational component; the values are placed into the Matrix3f parameter.
      double get​(Matrix3f m1, Vector3d t1)
      Performs an SVD normalization of this matrix to calculate the rotation as a 3x3 matrix, the translation, and the scale.
      void get​(Quat4d q1)
      Performs an SVD normalization of q1 matrix in order to acquire the normalized rotational component; the values are placed into the Quat4d parameter.
      void get​(Quat4f q1)
      Performs an SVD normalization of this matrix in order to acquire the normalized rotational component; the values are placed into the Quat4f parameter.
      void get​(Vector3d trans)
      Retrieves the translational components of this matrix.
      void getColumn​(int column, double[] v)
      Copies the matrix values in the specified column into the array parameter.
      void getColumn​(int column, Vector4d v)
      Copies the matrix values in the specified column into the vector parameter.
      double getElement​(int row, int column)
      Retrieves the value at the specified row and column of this matrix.
      double getM00()
      Get the first matrix element in the first row.
      double getM01()
      Get the second matrix element in the first row.
      double getM02()
      Get the third matrix element in the first row.
      double getM03()
      Get the fourth element of the first row.
      double getM10()
      Get first matrix element in the second row.
      double getM11()
      Get second matrix element in the second row.
      double getM12()
      Get the third matrix element in the second row.
      double getM13()
      Get the fourth element of the second row.
      double getM20()
      Get the first matrix element in the third row.
      double getM21()
      Get the second matrix element in the third row.
      double getM22()
      Get the third matrix element in the third row.
      double getM23()
      Get the fourth element of the third row.
      double getM30()
      Get the first element of the fourth row.
      double getM31()
      Get the second element of the fourth row.
      double getM32()
      Get the third element of the fourth row.
      double getM33()
      Get the fourth element of the fourth row.
      void getRotationScale​(Matrix3d m1)
      Gets the upper 3x3 values of this matrix and places them into the matrix m1.
      void getRotationScale​(Matrix3f m1)
      Gets the upper 3x3 values of this matrix and places them into the matrix m1.
      void getRow​(int row, double[] v)
      Copies the matrix values in the specified row into the array parameter.
      void getRow​(int row, Vector4d v)
      Copies the matrix values in the specified row into the vector parameter.
      double getScale()
      Performs an SVD normalization of this matrix to calculate and return the uniform scale factor.
      int hashCode()
      Returns a hash code value based on the data values in this object.
      void invert()
      Inverts this matrix in place.
      void invert​(Matrix4d m1)
      Sets the value of this matrix to the matrix inverse of the passed (user declared) matrix m1.
      void mul​(double scalar)
      Multiplies each element of this matrix by a scalar.
      void mul​(double scalar, Matrix4d m1)
      Multiplies each element of matrix m1 by a scalar and places the result into this.
      void mul​(Matrix4d m1)
      Sets the value of this matrix to the result of multiplying itself with matrix m1.
      void mul​(Matrix4d m1, Matrix4d m2)
      Sets the value of this matrix to the result of multiplying the two argument matrices together.
      void mulTransposeBoth​(Matrix4d m1, Matrix4d m2)
      Multiplies the transpose of matrix m1 times the transpose of matrix m2, and places the result into this.
      void mulTransposeLeft​(Matrix4d m1, Matrix4d m2)
      Multiplies the transpose of matrix m1 times matrix m2, and places the result into this.
      void mulTransposeRight​(Matrix4d m1, Matrix4d m2)
      Multiplies matrix m1 times the transpose of matrix m2, and places the result into this.
      void negate()
      Negates the value of this matrix: this = -this.
      void negate​(Matrix4d m1)
      Sets the value of this matrix equal to the negation of of the Matrix4d parameter.
      void rotX​(double angle)
      Sets the value of this matrix to a counter-clockwise rotation about the x axis.
      void rotY​(double angle)
      Sets the value of this matrix to a counter-clockwise rotation about the y axis.
      void rotZ​(double angle)
      Sets the value of this matrix to a counter-clockwise rotation about the z axis.
      void set​(double scale)
      Sets the value of this matrix to a scale matrix with the passed scale amount.
      void set​(double[] m)
      Sets the values in this Matrix4d 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.).
      void set​(double scale, Vector3d v1)
      Sets the value of this transform to a scale and translation matrix; the scale is not applied to the translation and all of the matrix values are modified.
      void set​(AxisAngle4d a1)
      Sets the value of this matrix to the matrix conversion of the double precision axis and angle argument.
      void set​(AxisAngle4f a1)
      Sets the value of this matrix to the matrix conversion of the single precision axis and angle argument.
      void set​(Matrix3d m1)
      Sets the rotational component (upper 3x3) of this matrix to the matrix values in the double precision Matrix3d argument; the other elements of this matrix are initialized as if this were an identity matrix (i.e., affine matrix with no translational component).
      void set​(Matrix3d m1, Vector3d t1, double scale)
      Sets the value of this matrix from the rotation expressed by the rotation matrix m1, the translation t1, and the scale factor.
      void set​(Matrix3f m1)
      Sets the rotational component (upper 3x3) of this matrix to the matrix values in the single precision Matrix3f argument; the other elements of this matrix are initialized as if this were an identity matrix (i.e., affine matrix with no translational component).
      void set​(Matrix3f m1, Vector3f t1, float scale)
      Sets the value of this matrix from the rotation expressed by the rotation matrix m1, the translation t1, and the scale factor.
      void set​(Matrix4d m1)
      Sets the value of this matrix to a copy of the passed matrix m1.
      void set​(Matrix4f m1)
      Sets the value of this matrix to a copy of the passed matrix m1.
      void set​(Quat4d q1)
      Sets the value of this matrix to the matrix conversion of the (double precision) quaternion argument.
      void set​(Quat4d q1, Vector3d t1, double s)
      Sets the value of this matrix from the rotation expressed by the quaternion q1, the translation t1, and the scale s.
      void set​(Quat4f q1)
      Sets the value of this matrix to the matrix conversion of the single precision quaternion argument.
      void set​(Quat4f q1, Vector3d t1, double s)
      Sets the value of this matrix from the rotation expressed by the quaternion q1, the translation t1, and the scale s.
      void set​(Quat4f q1, Vector3f t1, float s)
      Sets the value of this matrix from the rotation expressed by the quaternion q1, the translation t1, and the scale s.
      void set​(Vector3d v1)
      Sets the value of this matrix to a translate matrix by the passed translation value.
      void set​(Vector3d v1, double scale)
      Sets the value of this transform to a scale and translation matrix; the translation is scaled by the scale factor and all of the matrix values are modified.
      void setColumn​(int column, double[] v)
      Sets the specified column of this matrix4d to the four values provided.
      void setColumn​(int column, double x, double y, double z, double w)
      Sets the specified column of this matrix4d to the four values provided.
      void setColumn​(int column, Vector4d v)
      Sets the specified column of this matrix4d to the vector provided.
      void setElement​(int row, int column, double value)
      Sets the specified element of this matrix4f to the value provided.
      void setIdentity()
      Sets this Matrix4d to identity.
      void setM00​(double m00)
      Set the first matrix element in the first row.
      void setM01​(double m01)
      Set the second matrix element in the first row.
      void setM02​(double m02)
      Set the third matrix element in the first row.
      void setM03​(double m03)
      Set the fourth element of the first row.
      void setM10​(double m10)
      Set first matrix element in the second row.
      void setM11​(double m11)
      Set the second matrix element in the second row.
      void setM12​(double m12)
      Set the third matrix element in the second row.
      void setM13​(double m13)
      Set the fourth element of the second row.
      void setM20​(double m20)
      Set the first matrix element in the third row.
      void setM21​(double m21)
      Set the second matrix element in the third row.
      void setM22​(double m22)
      Set the third matrix element in the third row.
      void setM23​(double m23)
      Set the fourth element of the third row.
      void setM30​(double m30)
      Set the first element of the fourth row.
      void setM31​(double m31)
      Set the second element of the fourth row.
      void setM32​(double m32)
      Set the third element of the fourth row.
      void setM33​(double m33)
      Set the fourth element of the fourth row.
      void setRotation​(AxisAngle4d a1)
      Sets the rotational component (upper 3x3) of this matrix to the matrix equivalent values of the axis-angle argument; the other elements of this matrix are unchanged; a singular value decomposition is performed on this object's upper 3x3 matrix to factor out the scale, then this object's upper 3x3 matrix components are replaced by the matrix equivalent of the axis-angle, and then the scale is reapplied to the rotational components.
      void setRotation​(Matrix3d m1)
      Sets the rotational component (upper 3x3) of this matrix to the matrix values in the double precision Matrix3d argument; the other elements of this matrix are unchanged; a singular value decomposition is performed on this object's upper 3x3 matrix to factor out the scale, then this object's upper 3x3 matrix components are replaced by the passed rotation components, and then the scale is reapplied to the rotational components.
      void setRotation​(Matrix3f m1)
      Sets the rotational component (upper 3x3) of this matrix to the matrix values in the single precision Matrix3f argument; the other elements of this matrix are unchanged; a singular value decomposition is performed on this object's upper 3x3 matrix to factor out the scale, then this object's upper 3x3 matrix components are replaced by the passed rotation components, and then the scale is reapplied to the rotational components.
      void setRotation​(Quat4d q1)
      Sets the rotational component (upper 3x3) of this matrix to the matrix equivalent values of the quaternion argument; the other elements of this matrix are unchanged; a singular value decomposition is performed on this object's upper 3x3 matrix to factor out the scale, then this object's upper 3x3 matrix components are replaced by the matrix equivalent of the quaternion, and then the scale is reapplied to the rotational components.
      void setRotation​(Quat4f q1)
      Sets the rotational component (upper 3x3) of this matrix to the matrix equivalent values of the quaternion argument; the other elements of this matrix are unchanged; a singular value decomposition is performed on this object's upper 3x3 matrix to factor out the scale, then this object's upper 3x3 matrix components are replaced by the matrix equivalent of the quaternion, and then the scale is reapplied to the rotational components.
      void setRotationScale​(Matrix3d m1)
      Replaces the upper 3x3 matrix values of this matrix with the values in the matrix m1.
      void setRotationScale​(Matrix3f m1)
      Replaces the upper 3x3 matrix values of this matrix with the values in the matrix m1.
      void setRow​(int row, double[] v)
      Sets the specified row of this matrix4d to the four values provided.
      void setRow​(int row, double x, double y, double z, double w)
      Sets the specified row of this matrix4d to the four values provided.
      void setRow​(int row, Vector4d v)
      Sets the specified row of this matrix4d to the Vector provided.
      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.
      void setTranslation​(Vector3d trans)
      Modifies the translational components of this matrix to the values of the Vector3d argument; the other values of this matrix are not modified.
      void setZero()
      Sets this matrix to all zeros.
      void sub​(Matrix4d m1)
      Sets the value of this matrix to the matrix difference of itself and matrix m1 (this = this - m1).
      void sub​(Matrix4d m1, Matrix4d m2)
      Sets the value of this matrix to the matrix difference of matrices m1 and m2.
      java.lang.String toString()
      Returns a string that contains the values of this Matrix4d.
      void transform​(Point3d point)
      Transforms the point parameter with this Matrix4d and places the result back into point.
      void transform​(Point3d point, Point3d pointOut)
      Transforms the point parameter with this Matrix4d and places the result into pointOut.
      void transform​(Point3f point)
      Transforms the point parameter with this Matrix4d and places the result back into point.
      void transform​(Point3f point, Point3f pointOut)
      Transforms the point parameter with this Matrix4d and places the result into pointOut.
      void transform​(Tuple4d vec)
      Transform the vector vec using this Matrix4d and place the result back into vec.
      void transform​(Tuple4d vec, Tuple4d vecOut)
      Transform the vector vec using this Matrix4d and place the result into vecOut.
      void transform​(Tuple4f vec)
      Transform the vector vec using this Transform and place the result back into vec.
      void transform​(Tuple4f vec, Tuple4f vecOut)
      Transform the vector vec using this Matrix4d and place the result into vecOut.
      void transform​(Vector3d normal)
      Transforms the normal parameter by this transform and places the value back into normal.
      void transform​(Vector3d normal, Vector3d normalOut)
      Transforms the normal parameter by this Matrix4d and places the value into normalOut.
      void transform​(Vector3f normal)
      Transforms the normal parameter by this transform and places the value back into normal.
      void transform​(Vector3f normal, Vector3f normalOut)
      Transforms the normal parameter by this Matrix4d and places the value into normalOut.
      void transpose()
      Sets the value of this matrix to its transpose.
      void transpose​(Matrix4d m1)
      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 Detail

      • 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
        The third element of the first row.
      • m03

        public double m03
        The fourth 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.
      • m13

        public double m13
        The fourth 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.
      • m23

        public double m23
        The fourth element of the third row.
      • m30

        public double m30
        The first element of the fourth row.
      • m31

        public double m31
        The second element of the fourth row.
      • m32

        public double m32
        The third element of the fourth row.
      • m33

        public double m33
        The fourth element of the fourth row.
    • Constructor Detail

      • Matrix4d

        public Matrix4d​(double m00,
                        double m01,
                        double m02,
                        double m03,
                        double m10,
                        double m11,
                        double m12,
                        double m13,
                        double m20,
                        double m21,
                        double m22,
                        double m23,
                        double m30,
                        double m31,
                        double m32,
                        double m33)
        Constructs and initializes a Matrix4d from the specified 16 values.
        Parameters:
        m00 - the [0][0] element
        m01 - the [0][1] element
        m02 - the [0][2] element
        m03 - the [0][3] element
        m10 - the [1][0] element
        m11 - the [1][1] element
        m12 - the [1][2] element
        m13 - the [1][3] element
        m20 - the [2][0] element
        m21 - the [2][1] element
        m22 - the [2][2] element
        m23 - the [2][3] element
        m30 - the [3][0] element
        m31 - the [3][1] element
        m32 - the [3][2] element
        m33 - the [3][3] element
      • Matrix4d

        public Matrix4d​(double[] v)
        Constructs and initializes a Matrix4d from the specified 16 element array. this.m00 =v[0], this.m01=v[1], etc.
        Parameters:
        v - the array of length 16 containing in order
      • Matrix4d

        public Matrix4d​(Quat4d q1,
                        Vector3d t1,
                        double s)
        Constructs and initializes a Matrix4d from the quaternion, translation, and scale values; the scale is applied only to the rotational components of the matrix (upper 3x3) and not to the translational components.
        Parameters:
        q1 - the quaternion value representing the rotational component
        t1 - the translational component of the matrix
        s - the scale value applied to the rotational components
      • Matrix4d

        public Matrix4d​(Quat4f q1,
                        Vector3d t1,
                        double s)
        Constructs and initializes a Matrix4d from the quaternion, translation, and scale values; the scale is applied only to the rotational components of the matrix (upper 3x3) and not to the translational components.
        Parameters:
        q1 - the quaternion value representing the rotational component
        t1 - the translational component of the matrix
        s - the scale value applied to the rotational components
      • Matrix4d

        public Matrix4d​(Matrix4d m1)
        Constructs a new matrix with the same values as the Matrix4d parameter.
        Parameters:
        m1 - the source matrix
      • Matrix4d

        public Matrix4d​(Matrix4f m1)
        Constructs a new matrix with the same values as the Matrix4f parameter.
        Parameters:
        m1 - the source matrix
      • Matrix4d

        public Matrix4d​(Matrix3f m1,
                        Vector3d t1,
                        double s)
        Constructs and initializes a Matrix4d from the rotation matrix, translation, and scale values; the scale is applied only to the rotational components of the matrix (upper 3x3) and not to the translational components of the matrix.
        Parameters:
        m1 - the rotation matrix representing the rotational components
        t1 - the translational components of the matrix
        s - the scale value applied to the rotational components
      • Matrix4d

        public Matrix4d​(Matrix3d m1,
                        Vector3d t1,
                        double s)
        Constructs and initializes a Matrix4f from the rotation matrix, translation, and scale values; the scale is applied only to the rotational components of the matrix (upper 3x3) and not to the translational components of the matrix.
        Parameters:
        m1 - the rotation matrix representing the rotational components
        t1 - the translational components of the matrix
        s - the scale value applied to the rotational components
      • Matrix4d

        public Matrix4d()
        Constructs and initializes a Matrix4d to all zeros.
    • Method Detail

      • toString

        public java.lang.String toString()
        Returns a string that contains the values of this Matrix4d.
        Overrides:
        toString in class java.lang.Object
        Returns:
        the String representation
      • setIdentity

        public final void setIdentity()
        Sets this Matrix4d to identity.
      • setElement

        public final void setElement​(int row,
                                     int column,
                                     double value)
        Sets the specified element of this matrix4f 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
      • getRow

        public final void getRow​(int row,
                                 Vector4d 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
      • 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
      • getColumn

        public final void getColumn​(int column,
                                    Vector4d 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 column 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 column values will be copied
      • get

        public final void get​(Matrix3d m1)
        Performs an SVD normalization of this matrix in order to acquire the normalized rotational component; the values are placed into the Matrix3d parameter.
        Parameters:
        m1 - the matrix into which the rotational component is placed
      • get

        public final void get​(Matrix3f m1)
        Performs an SVD normalization of this matrix in order to acquire the normalized rotational component; the values are placed into the Matrix3f parameter.
        Parameters:
        m1 - the matrix into which the rotational component is placed
      • get

        public final double get​(Matrix3d m1,
                                Vector3d t1)
        Performs an SVD normalization of this matrix to calculate the rotation as a 3x3 matrix, the translation, and the scale. None of the matrix values are modified.
        Parameters:
        m1 - the normalized matrix representing the rotation
        t1 - the translation component
        Returns:
        the scale component of this transform
      • get

        public final double get​(Matrix3f m1,
                                Vector3d t1)
        Performs an SVD normalization of this matrix to calculate the rotation as a 3x3 matrix, the translation, and the scale. None of the matrix values are modified.
        Parameters:
        m1 - the normalized matrix representing the rotation
        t1 - the translation component
        Returns:
        the scale component of this transform
      • get

        public final void get​(Quat4f q1)
        Performs an SVD normalization of this matrix in order to acquire the normalized rotational component; the values are placed into the Quat4f parameter.
        Parameters:
        q1 - quaternion into which the rotation component is placed
      • get

        public final void get​(Quat4d q1)
        Performs an SVD normalization of q1 matrix in order to acquire the normalized rotational component; the values are placed into the Quat4d parameter.
        Parameters:
        q1 - the quaternion into which the rotation component is placed
      • get

        public final void get​(Vector3d trans)
        Retrieves the translational components of this matrix.
        Parameters:
        trans - the vector that will receive the translational component
      • getRotationScale

        public final void getRotationScale​(Matrix3f m1)
        Gets the upper 3x3 values of this matrix and places them into the matrix m1.
        Parameters:
        m1 - the matrix that will hold the values
      • getRotationScale

        public final void getRotationScale​(Matrix3d m1)
        Gets the upper 3x3 values of this matrix and places them into the matrix m1.
        Parameters:
        m1 - the matrix that will hold the values
      • getScale

        public final double getScale()
        Performs an SVD normalization of this matrix to calculate and return the uniform scale factor. If the matrix has non-uniform scale factors, the largest of the x, y, and z scale factors will be returned. This matrix is not modified.
        Returns:
        the scale factor of this matrix
      • setRotationScale

        public final void setRotationScale​(Matrix3d m1)
        Replaces the upper 3x3 matrix values of this matrix with the values in the matrix m1.
        Parameters:
        m1 - the matrix that will be the new upper 3x3
      • setRotationScale

        public final void setRotationScale​(Matrix3f m1)
        Replaces the upper 3x3 matrix values of this matrix with the values in the matrix m1.
        Parameters:
        m1 - the matrix that will be the new upper 3x3
      • 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
      • setRow

        public final void setRow​(int row,
                                 double x,
                                 double y,
                                 double z,
                                 double w)
        Sets the specified row of this matrix4d to the four 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
        w - the fourth column element
      • setRow

        public final void setRow​(int row,
                                 Vector4d v)
        Sets the specified row of this matrix4d 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 matrix4d to the four values provided.
        Parameters:
        row - the row number to be modified (zero indexed)
        v - the replacement row
      • setColumn

        public final void setColumn​(int column,
                                    double x,
                                    double y,
                                    double z,
                                    double w)
        Sets the specified column of this matrix4d to the four 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
        w - the fourth row element
      • setColumn

        public final void setColumn​(int column,
                                    Vector4d v)
        Sets the specified column of this matrix4d 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 matrix4d to the four values provided.
        Parameters:
        column - the column number to be modified (zero indexed)
        v - the replacement column
      • 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,
                              Matrix4d 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
        m1 - the original matrix values
      • add

        public final void add​(Matrix4d m1,
                              Matrix4d 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​(Matrix4d m1)
        Sets the value of this matrix to sum of itself and matrix m1.
        Parameters:
        m1 - the other matrix
      • sub

        public final void sub​(Matrix4d m1,
                              Matrix4d 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​(Matrix4d 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​(Matrix4d 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​(double[] m)
        Sets the values in this Matrix4d 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.).
        Parameters:
        m - the double precision array of length 16
      • set

        public final void set​(Matrix3f m1)
        Sets the rotational component (upper 3x3) of this matrix to the matrix values in the single precision Matrix3f argument; the other elements of this matrix are initialized as if this were an identity matrix (i.e., affine matrix with no translational component).
        Parameters:
        m1 - the double precision 3x3 matrix
      • set

        public final void set​(Matrix3d m1)
        Sets the rotational component (upper 3x3) of this matrix to the matrix values in the double precision Matrix3d argument; the other elements of this matrix are initialized as if this were an identity matrix (i.e., affine matrix with no translational component).
        Parameters:
        m1 - the double precision 3x3 matrix
      • 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​(Quat4d q1,
                              Vector3d t1,
                              double s)
        Sets the value of this matrix from the rotation expressed by the quaternion q1, the translation t1, and the scale s.
        Parameters:
        q1 - the rotation expressed as a quaternion
        t1 - the translation
        s - the scale value
      • set

        public final void set​(Quat4f q1,
                              Vector3d t1,
                              double s)
        Sets the value of this matrix from the rotation expressed by the quaternion q1, the translation t1, and the scale s.
        Parameters:
        q1 - the rotation expressed as a quaternion
        t1 - the translation
        s - the scale value
      • set

        public final void set​(Quat4f q1,
                              Vector3f t1,
                              float s)
        Sets the value of this matrix from the rotation expressed by the quaternion q1, the translation t1, and the scale s.
        Parameters:
        q1 - the rotation expressed as a quaternion
        t1 - the translation
        s - the scale value
      • set

        public final void set​(Matrix4f m1)
        Sets the value of this matrix to a copy of the passed matrix m1.
        Parameters:
        m1 - the matrix4f
      • set

        public final void set​(Matrix4d m1)
        Sets the value of this matrix to a copy of the passed matrix m1.
        Parameters:
        m1 - the matrix to be copied
      • invert

        public final void invert​(Matrix4d m1)
        Sets the value of this matrix to the matrix inverse of the passed (user declared) matrix m1.
        Parameters:
        m1 - the matrix to be inverted
      • invert

        public final void invert()
        Inverts this matrix in place.
      • 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
      • set

        public final void set​(Vector3d v1)
        Sets the value of this matrix to a translate matrix by the passed translation value.
        Parameters:
        v1 - the translation amount
      • set

        public final void set​(double scale,
                              Vector3d v1)
        Sets the value of this transform to a scale and translation matrix; the scale is not applied to the translation and all of the matrix values are modified.
        Parameters:
        scale - the scale factor for the matrix
        v1 - the translation amount
      • set

        public final void set​(Vector3d v1,
                              double scale)
        Sets the value of this transform to a scale and translation matrix; the translation is scaled by the scale factor and all of the matrix values are modified.
        Parameters:
        v1 - the translation amount
        scale - the scale factor for the matrix
      • set

        public final void set​(Matrix3f m1,
                              Vector3f t1,
                              float scale)
        Sets the value of this matrix from the rotation expressed by the rotation matrix m1, the translation t1, and the scale factor. The translation is not modified by the scale.
        Parameters:
        m1 - the rotation component
        t1 - the translation component
        scale - the scale component
      • set

        public final void set​(Matrix3d m1,
                              Vector3d t1,
                              double scale)
        Sets the value of this matrix from the rotation expressed by the rotation matrix m1, the translation t1, and the scale factor. The translation is not modified by the scale.
        Parameters:
        m1 - the rotation component
        t1 - the translation component
        scale - the scale component
      • setTranslation

        public final void setTranslation​(Vector3d trans)
        Modifies the translational components of this matrix to the values of the Vector3d argument; the other values of this matrix are not modified.
        Parameters:
        trans - the translational component
      • rotX

        public final void rotX​(double angle)
        Sets the value of this matrix to a counter-clockwise rotation about the x axis.
        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 counter-clockwise rotation about the y axis.
        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 counter-clockwise rotation about the z axis.
        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,
                              Matrix4d 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​(Matrix4d 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​(Matrix4d m1,
                              Matrix4d 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
      • mulTransposeBoth

        public final void mulTransposeBoth​(Matrix4d m1,
                                           Matrix4d 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​(Matrix4d m1,
                                            Matrix4d 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​(Matrix4d m1,
                                           Matrix4d 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
      • equals

        public boolean equals​(Matrix4d m1)
        Returns true if all of the data members of Matrix4d m1 are equal to the corresponding data members in this Matrix4d.
        Parameters:
        m1 - the matrix with which the comparison is made
        Returns:
        true or false
      • equals

        public boolean equals​(java.lang.Object t1)
        Returns true if the Object t1 is of type Matrix4d and all of the data members of t1 are equal to the corresponding data members in this Matrix4d.
        Overrides:
        equals in class java.lang.Object
        Parameters:
        t1 - the matrix with which the comparison is made
        Returns:
        true or false
      • epsilonEquals

        public boolean epsilonEquals​(Matrix4d m1,
                                     float epsilon)
        Deprecated.
        Use epsilonEquals(Matrix4d,double) instead
      • epsilonEquals

        public boolean epsilonEquals​(Matrix4d 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 code value based on the data values in this object. Two different Matrix4d objects with identical data values (i.e., Matrix4d.equals returns true) will return the same hash code value. Two objects with different data members may return the same hash value, although this is not likely.
        Overrides:
        hashCode in class java.lang.Object
        Returns:
        the integer hash code value
      • transform

        public final void transform​(Tuple4d vec,
                                    Tuple4d vecOut)
        Transform the vector vec using this Matrix4d and place the result into vecOut.
        Parameters:
        vec - the double precision vector to be transformed
        vecOut - the vector into which the transformed values are placed
      • transform

        public final void transform​(Tuple4d vec)
        Transform the vector vec using this Matrix4d and place the result back into vec.
        Parameters:
        vec - the double precision vector to be transformed
      • transform

        public final void transform​(Tuple4f vec,
                                    Tuple4f vecOut)
        Transform the vector vec using this Matrix4d and place the result into vecOut.
        Parameters:
        vec - the single precision vector to be transformed
        vecOut - the vector into which the transformed values are placed
      • transform

        public final void transform​(Tuple4f vec)
        Transform the vector vec using this Transform and place the result back into vec.
        Parameters:
        vec - the single precision vector to be transformed
      • transform

        public final void transform​(Point3d point,
                                    Point3d pointOut)
        Transforms the point parameter with this Matrix4d and places the result into pointOut. The fourth element of the point input parameter is assumed to be one.
        Parameters:
        point - the input point to be transformed.
        pointOut - the transformed point
      • transform

        public final void transform​(Point3d point)
        Transforms the point parameter with this Matrix4d and places the result back into point. The fourth element of the point input parameter is assumed to be one.
        Parameters:
        point - the input point to be transformed.
      • transform

        public final void transform​(Point3f point,
                                    Point3f pointOut)
        Transforms the point parameter with this Matrix4d and places the result into pointOut. The fourth element of the point input parameter is assumed to be one.
        Parameters:
        point - the input point to be transformed.
        pointOut - the transformed point
      • transform

        public final void transform​(Point3f point)
        Transforms the point parameter with this Matrix4d and places the result back into point. The fourth element of the point input parameter is assumed to be one.
        Parameters:
        point - the input point to be transformed.
      • transform

        public final void transform​(Vector3d normal,
                                    Vector3d normalOut)
        Transforms the normal parameter by this Matrix4d and places the value into normalOut. The fourth element of the normal is assumed to be zero.
        Parameters:
        normal - the input normal to be transformed.
        normalOut - the transformed normal
      • transform

        public final void transform​(Vector3d normal)
        Transforms the normal parameter by this transform and places the value back into normal. The fourth element of the normal is assumed to be zero.
        Parameters:
        normal - the input normal to be transformed.
      • transform

        public final void transform​(Vector3f normal,
                                    Vector3f normalOut)
        Transforms the normal parameter by this Matrix4d and places the value into normalOut. The fourth element of the normal is assumed to be zero.
        Parameters:
        normal - the input normal to be transformed.
        normalOut - the transformed normal
      • transform

        public final void transform​(Vector3f normal)
        Transforms the normal parameter by this transform and places the value back into normal. The fourth element of the normal is assumed to be zero.
        Parameters:
        normal - the input normal to be transformed.
      • setRotation

        public final void setRotation​(Matrix3d m1)
        Sets the rotational component (upper 3x3) of this matrix to the matrix values in the double precision Matrix3d argument; the other elements of this matrix are unchanged; a singular value decomposition is performed on this object's upper 3x3 matrix to factor out the scale, then this object's upper 3x3 matrix components are replaced by the passed rotation components, and then the scale is reapplied to the rotational components.
        Parameters:
        m1 - double precision 3x3 matrix
      • setRotation

        public final void setRotation​(Matrix3f m1)
        Sets the rotational component (upper 3x3) of this matrix to the matrix values in the single precision Matrix3f argument; the other elements of this matrix are unchanged; a singular value decomposition is performed on this object's upper 3x3 matrix to factor out the scale, then this object's upper 3x3 matrix components are replaced by the passed rotation components, and then the scale is reapplied to the rotational components.
        Parameters:
        m1 - single precision 3x3 matrix
      • setRotation

        public final void setRotation​(Quat4f q1)
        Sets the rotational component (upper 3x3) of this matrix to the matrix equivalent values of the quaternion argument; the other elements of this matrix are unchanged; a singular value decomposition is performed on this object's upper 3x3 matrix to factor out the scale, then this object's upper 3x3 matrix components are replaced by the matrix equivalent of the quaternion, and then the scale is reapplied to the rotational components.
        Parameters:
        q1 - the quaternion that specifies the rotation
      • setRotation

        public final void setRotation​(Quat4d q1)
        Sets the rotational component (upper 3x3) of this matrix to the matrix equivalent values of the quaternion argument; the other elements of this matrix are unchanged; a singular value decomposition is performed on this object's upper 3x3 matrix to factor out the scale, then this object's upper 3x3 matrix components are replaced by the matrix equivalent of the quaternion, and then the scale is reapplied to the rotational components.
        Parameters:
        q1 - the quaternion that specifies the rotation
      • setRotation

        public final void setRotation​(AxisAngle4d a1)
        Sets the rotational component (upper 3x3) of this matrix to the matrix equivalent values of the axis-angle argument; the other elements of this matrix are unchanged; a singular value decomposition is performed on this object's upper 3x3 matrix to factor out the scale, then this object's upper 3x3 matrix components are replaced by the matrix equivalent of the axis-angle, and then the scale is reapplied to the rotational components.
        Parameters:
        a1 - the axis-angle to be converted (x, y, z, angle)
      • 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​(Matrix4d m1)
        Sets the value of this matrix equal to the negation of of the Matrix4d parameter.
        Parameters:
        m1 - the source matrix
      • clone

        public java.lang.Object clone()
        Creates a new object of the same class as this object.
        Overrides:
        clone in class java.lang.Object
        Returns:
        a clone of this instance.
        Throws:
        java.lang.OutOfMemoryError - if there is not enough memory.
        Since:
        vecmath 1.3
        See Also:
        Cloneable
      • getM00

        public final double getM00()
        Get the first matrix element in the first row.
        Returns:
        Returns the m00.
        Since:
        vecmath 1.5
      • setM00

        public final void setM00​(double m00)
        Set the first matrix element in the first row.
        Parameters:
        m00 - The m00 to set.
        Since:
        vecmath 1.5
      • getM01

        public final double getM01()
        Get the second matrix element in the first row.
        Returns:
        Returns the m01.
        Since:
        vecmath 1.5
      • setM01

        public final void setM01​(double m01)
        Set the second matrix element in the first row.
        Parameters:
        m01 - The m01 to set.
        Since:
        vecmath 1.5
      • getM02

        public final double getM02()
        Get the third matrix element in the first row.
        Returns:
        Returns the m02.
        Since:
        vecmath 1.5
      • setM02

        public final void setM02​(double m02)
        Set the third matrix element in the first row.
        Parameters:
        m02 - The m02 to set.
        Since:
        vecmath 1.5
      • getM10

        public final double getM10()
        Get first matrix element in the second row.
        Returns:
        Returns the m10.
        Since:
        vecmath 1.5
      • setM10

        public final void setM10​(double m10)
        Set first matrix element in the second row.
        Parameters:
        m10 - The m10 to set.
        Since:
        vecmath 1.5
      • getM11

        public final double getM11()
        Get second matrix element in the second row.
        Returns:
        Returns the m11.
        Since:
        vecmath 1.5
      • setM11

        public final void setM11​(double m11)
        Set the second matrix element in the second row.
        Parameters:
        m11 - The m11 to set.
        Since:
        vecmath 1.5
      • getM12

        public final double getM12()
        Get the third matrix element in the second row.
        Returns:
        Returns the m12.
        Since:
        vecmath 1.5
      • setM12

        public final void setM12​(double m12)
        Set the third matrix element in the second row.
        Parameters:
        m12 - The m12 to set.
        Since:
        vecmath 1.5
      • getM20

        public final double getM20()
        Get the first matrix element in the third row.
        Returns:
        Returns the m20.
        Since:
        vecmath 1.5
      • setM20

        public final void setM20​(double m20)
        Set the first matrix element in the third row.
        Parameters:
        m20 - The m20 to set.
        Since:
        vecmath 1.5
      • getM21

        public final double getM21()
        Get the second matrix element in the third row.
        Returns:
        Returns the m21.
        Since:
        vecmath 1.5
      • setM21

        public final void setM21​(double m21)
        Set the second matrix element in the third row.
        Parameters:
        m21 - The m21 to set.
        Since:
        vecmath 1.5
      • getM22

        public final double getM22()
        Get the third matrix element in the third row.
        Returns:
        Returns the m22.
        Since:
        vecmath 1.5
      • setM22

        public final void setM22​(double m22)
        Set the third matrix element in the third row.
        Parameters:
        m22 - The m22 to set.
        Since:
        vecmath 1.5
      • getM03

        public final double getM03()
        Get the fourth element of the first row.
        Returns:
        Returns the m03.
        Since:
        vecmath 1.5
      • setM03

        public final void setM03​(double m03)
        Set the fourth element of the first row.
        Parameters:
        m03 - The m03 to set.
        Since:
        vecmath 1.5
      • getM13

        public final double getM13()
        Get the fourth element of the second row.
        Returns:
        Returns the m13.
        Since:
        vecmath 1.5
      • setM13

        public final void setM13​(double m13)
        Set the fourth element of the second row.
        Parameters:
        m13 - The m13 to set.
        Since:
        vecmath 1.5
      • getM23

        public final double getM23()
        Get the fourth element of the third row.
        Returns:
        Returns the m23.
        Since:
        vecmath 1.5
      • setM23

        public final void setM23​(double m23)
        Set the fourth element of the third row.
        Parameters:
        m23 - The m23 to set.
        Since:
        vecmath 1.5
      • getM30

        public final double getM30()
        Get the first element of the fourth row.
        Returns:
        Returns the m30.
        Since:
        vecmath 1.5
      • setM30

        public final void setM30​(double m30)
        Set the first element of the fourth row.
        Parameters:
        m30 - The m30 to set.
        Since:
        vecmath 1.5
      • getM31

        public final double getM31()
        Get the second element of the fourth row.
        Returns:
        Returns the m31.
        Since:
        vecmath 1.5
      • setM31

        public final void setM31​(double m31)
        Set the second element of the fourth row.
        Parameters:
        m31 - The m31 to set.
        Since:
        vecmath 1.5
      • getM32

        public final double getM32()
        Get the third element of the fourth row.
        Returns:
        Returns the m32.
        Since:
        vecmath 1.5
      • setM32

        public final void setM32​(double m32)
        Set the third element of the fourth row.
        Parameters:
        m32 - The m32 to set.
        Since:
        vecmath 1.5
      • getM33

        public final double getM33()
        Get the fourth element of the fourth row.
        Returns:
        Returns the m33.
        Since:
        vecmath 1.5
      • setM33

        public final void setM33​(double m33)
        Set the fourth element of the fourth row.
        Parameters:
        m33 - The m33 to set.
        Since:
        vecmath 1.5