Matrix3d

Contains the definition of a 3x3 matrix of doubles, and associated functions to transform it. The matrix is column-major to match OpenGL's interpretation, and it looks like this: <p> m00 m10 m20<br> m01 m11 m21<br> m02 m12 m22<br>

@author Richard Greenlees @author Kai Burjack

struct Matrix3d {

this(Matrix2d mat);

this(Matrix3d mat);

this(Matrix4d mat);

this(double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22);

this(Vector3d col0, Vector3d col1, Vector3d col2);

Matrix3d setm00(double m00);

Matrix3d setm01(double m01);

Matrix3d setm02(double m02);

Matrix3d setm10(double m10);

Matrix3d setm11(double m11);

Matrix3d setm12(double m12);

Matrix3d setm20(double m20);

Matrix3d setm21(double m21);

Matrix3d setm22(double m22);

Matrix3d _m00(double m00);

Matrix3d _m01(double m01);

Matrix3d _m02(double m02);

Matrix3d _m10(double m10);

Matrix3d _m11(double m11);

Matrix3d _m12(double m12);

Matrix3d _m20(double m20);

Matrix3d _m21(double m21);

Matrix3d _m22(double m22);

Matrix3d set(Matrix3d m);

Matrix3d setTransposed(Matrix3d m);

Matrix3d set(Matrix4x3d m);

Matrix3d set(Matrix4d mat);

Matrix3d set(Matrix2d mat);

Matrix3d set(AxisAngle4d axisAngle);

Matrix3d set(Quaterniond q);

Matrix3d mul(Matrix3d right);

Matrix3d mul(Matrix3d right, Matrix3d dest);

Matrix3d mulLocal(Matrix3d left);

Matrix3d mulLocal(Matrix3d left, Matrix3d dest);

Matrix3d set(double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22);

Matrix3d set(double[] m);

Matrix3d set(float[] m);

double determinant();

Matrix3d invert();

Matrix3d invert(Matrix3d dest);

Matrix3d transpose();

Matrix3d transpose(Matrix3d dest);

Matrix3d get(Matrix3d dest);

Quaterniond getUnnormalizedRotation(Quaterniond dest);

Quaterniond getNormalizedRotation(Quaterniond dest);

double[] get(double[] arr, int offset);

double[] get(double[] arr);

float[] get(float[] arr, int offset);

float[] get(float[] arr);

Matrix3d set(Vector3d col0, Vector3d col1, Vector3d col2);

Matrix3d zero();

Matrix3d identity();

Matrix3d scaling(double factor);

Matrix3d scaling(double x, double y, double z);

Matrix3d scaling(Vector3d xyz);

Matrix3d scale(Vector3d xyz, Matrix3d dest);

Matrix3d scale(Vector3d xyz);

Matrix3d scale(double x, double y, double z, Matrix3d dest);

Matrix3d scale(double x, double y, double z);

Matrix3d scale(double xyz, Matrix3d dest);

Matrix3d scale(double xyz);

Matrix3d scaleLocal(double x, double y, double z, Matrix3d dest);

Matrix3d scaleLocal(double x, double y, double z);

Matrix3d rotation(double angle, Vector3d axis);

Matrix3d rotation(AxisAngle4d axisAngle);

Matrix3d rotation(double angle, double x, double y, double z);

Matrix3d rotationX(double ang);

Matrix3d rotationY(double ang);

Matrix3d rotationZ(double ang);

Matrix3d rotationXYZ(double angleX, double angleY, double angleZ);

Matrix3d rotationZYX(double angleZ, double angleY, double angleX);

Matrix3d rotationYXZ(double angleY, double angleX, double angleZ);

Matrix3d rotation(Quaterniond quat);

Vector3d transform(Vector3d v);

Vector3d transform(Vector3d v, Vector3d dest);

Vector3d transform(double x, double y, double z, Vector3d dest);

Vector3d transformTranspose(Vector3d v);

Vector3d transformTranspose(Vector3d v, Vector3d dest);

Vector3d transformTranspose(double x, double y, double z, Vector3d dest);

Matrix3d rotateX(double ang, Matrix3d dest);

Matrix3d rotateX(double ang);

Matrix3d rotateY(double ang, Matrix3d dest);

Matrix3d rotateY(double ang);

Matrix3d rotateZ(double ang, Matrix3d dest);

Matrix3d rotateZ(double ang);

Matrix3d rotateXYZ(double angleX, double angleY, double angleZ);

Matrix3d rotateXYZ(double angleX, double angleY, double angleZ, Matrix3d dest);

Matrix3d rotateZYX(double angleZ, double angleY, double angleX);

Matrix3d rotateZYX(double angleZ, double angleY, double angleX, Matrix3d dest);

Matrix3d rotateYXZ(Vector3d angles);

Matrix3d rotateYXZ(double angleY, double angleX, double angleZ);

Matrix3d rotateYXZ(double angleY, double angleX, double angleZ, Matrix3d dest);

Matrix3d rotate(double ang, double x, double y, double z);

Matrix3d rotate(double ang, double x, double y, double z, Matrix3d dest);

Matrix3d rotateLocal(double ang, double x, double y, double z, Matrix3d dest);

Matrix3d rotateLocal(double ang, double x, double y, double z);

Matrix3d rotateLocalX(double ang, Matrix3d dest);

Matrix3d rotateLocalX(double ang);

Matrix3d rotateLocalY(double ang, Matrix3d dest);

Matrix3d rotateLocalY(double ang);

Matrix3d rotateLocalZ(double ang, Matrix3d dest);

Matrix3d rotateLocalZ(double ang);

Matrix3d rotateLocal(Quaterniond quat, Matrix3d dest);

Matrix3d rotateLocal(Quaterniond quat);

Matrix3d rotate(Quaterniond quat);

Matrix3d rotate(Quaterniond quat, Matrix3d dest);

Matrix3d rotate(AxisAngle4d axisAngle);

Matrix3d rotate(AxisAngle4d axisAngle, Matrix3d dest);

Matrix3d rotate(double angle, Vector3d axis);

Matrix3d rotate(double angle, Vector3d axis, Matrix3d dest);

Vector3d getRow(int row, Vector3d dest);

Matrix3d setRow(int row, Vector3d src);

Matrix3d setRow(int row, double x, double y, double z);

Vector3d getColumn(int column, Vector3d dest);

Matrix3d setColumn(int column, Vector3d src);

Matrix3d setColumn(int column, double x, double y, double z);

double get(int column, int row);

Matrix3d set(int column, int row, double value);

double getRowColumn(int row, int column);

Matrix3d setRowColumn(int row, int column, double value);

Matrix3d normal();

Matrix3d normal(Matrix3d dest);

Matrix3d cofactor();

Matrix3d cofactor(Matrix3d dest);

Matrix3d lookAlong(Vector3d dir, Vector3d up);

Matrix3d lookAlong(Vector3d dir, Vector3d up, Matrix3d dest);

Matrix3d lookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ, Matrix3d dest);

Matrix3d lookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ);

Matrix3d setLookAlong(Vector3d dir, Vector3d up);

Matrix3d setLookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ);

Vector3d getScale(Vector3d dest);

Vector3d positiveZ(Vector3d dir);

Vector3d normalizedPositiveZ(Vector3d dir);

Vector3d positiveX(Vector3d dir);

Vector3d normalizedPositiveX(Vector3d dir);

Vector3d positiveY(Vector3d dir);

Vector3d normalizedPositiveY(Vector3d dir);

int hashCode();

bool equals(Matrix3d m, double delta);

Matrix3d swap(Matrix3d other);

Matrix3d add(Matrix3d other);

Matrix3d add(Matrix3d other, Matrix3d dest);

Matrix3d sub(Matrix3d subtrahend);

Matrix3d sub(Matrix3d subtrahend, Matrix3d dest);

Matrix3d mulComponentWise(Matrix3d other);

Matrix3d mulComponentWise(Matrix3d other, Matrix3d dest);

Matrix3d setSkewSymmetric(double a, double b, double c);

Matrix3d lerp(Matrix3d other, double t);

Matrix3d lerp(Matrix3d other, double t, Matrix3d dest);

Matrix3d rotateTowards(Vector3d direction, Vector3d up, Matrix3d dest);

Matrix3d rotateTowards(Vector3d direction, Vector3d up);

Matrix3d rotateTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ);

Matrix3d rotateTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ, Matrix3d dest);

Matrix3d rotationTowards(Vector3d dir, Vector3d up);

Matrix3d rotationTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ);

Vector3d getEulerAnglesZYX(Vector3d dest);

Vector3d getEulerAnglesXYZ(Vector3d dest);

Matrix3d obliqueZ(double a, double b);

Matrix3d obliqueZ(double a, double b, Matrix3d dest);

Matrix3d reflect(double nx, double ny, double nz, Matrix3d dest);

Matrix3d reflect(double nx, double ny, double nz);

Matrix3d reflect(Vector3d normal);

Matrix3d reflect(Quaterniond orientation);

Matrix3d reflect(Quaterniond orientation, Matrix3d dest);

Matrix3d reflect(Vector3d normal, Matrix3d dest);

Matrix3d reflection(double nx, double ny, double nz);

Matrix3d reflection(Vector3d normal);

Matrix3d reflection(Quaterniond orientation);

bool isFinite();

double quadraticFormProduct(double x, double y, double z);

double quadraticFormProduct(Vector3d v);

Matrix3d mapXZy();

Matrix3d mapXZY(Matrix3d dest);

Matrix3d mapXZny();

Matrix3d mapXZnY(Matrix3d dest);

Matrix3d mapXnYnz();

Matrix3d mapXnYnZ(Matrix3d dest);

Matrix3d mapXnZy();

Matrix3d mapXnZY(Matrix3d dest);

Matrix3d mapXnZny();

Matrix3d mapXnZnY(Matrix3d dest);

Matrix3d mapYXz();

Matrix3d mapYXZ(Matrix3d dest);

Matrix3d mapYXnz();

Matrix3d mapYXnZ(Matrix3d dest);

Matrix3d mapYZx();

Matrix3d mapYZX(Matrix3d dest);

Matrix3d mapYZnx();

Matrix3d mapYZnX(Matrix3d dest);

Matrix3d mapYnXz();

Matrix3d mapYnXZ(Matrix3d dest);

Matrix3d mapYnXnz();

Matrix3d mapYnXnZ(Matrix3d dest);

Matrix3d mapYnZx();

Matrix3d mapYnZX(Matrix3d dest);

Matrix3d mapYnZnx();

Matrix3d mapYnZnX(Matrix3d dest);

Matrix3d mapZXy();

Matrix3d mapZXY(Matrix3d dest);

Matrix3d mapZXny();

Matrix3d mapZXnY(Matrix3d dest);

Matrix3d mapZYx();

Matrix3d mapZYX(Matrix3d dest);

Matrix3d mapZYnx();

Matrix3d mapZYnX(Matrix3d dest);

Matrix3d mapZnXy();

Matrix3d mapZnXY(Matrix3d dest);

Matrix3d mapZnXny();

Matrix3d mapZnXnY(Matrix3d dest);

Matrix3d mapZnYx();

Matrix3d mapZnYX(Matrix3d dest);

Matrix3d mapZnYnx();

Matrix3d mapZnYnX(Matrix3d dest);

Matrix3d mapnXYnz();

Matrix3d mapnXYnZ(Matrix3d dest);

Matrix3d mapnXZy();

Matrix3d mapnXZY(Matrix3d dest);

Matrix3d mapnXZny();

Matrix3d mapnXZnY(Matrix3d dest);

Matrix3d mapnXnYz();

Matrix3d mapnXnYZ(Matrix3d dest);

Matrix3d mapnXnYnz();

Matrix3d mapnXnYnZ(Matrix3d dest);

Matrix3d mapnXnZy();

Matrix3d mapnXnZY(Matrix3d dest);

Matrix3d mapnXnZny();

Matrix3d mapnXnZnY(Matrix3d dest);

Matrix3d mapnYXz();

Matrix3d mapnYXZ(Matrix3d dest);

Matrix3d mapnYXnz();

Matrix3d mapnYXnZ(Matrix3d dest);

Matrix3d mapnYZx();

Matrix3d mapnYZX(Matrix3d dest);

Matrix3d mapnYZnx();

Matrix3d mapnYZnX(Matrix3d dest);

Matrix3d mapnYnXz();

Matrix3d mapnYnXZ(Matrix3d dest);

Matrix3d mapnYnXnz();

Matrix3d mapnYnXnZ(Matrix3d dest);

Matrix3d mapnYnZx();

Matrix3d mapnYnZX(Matrix3d dest);

Matrix3d mapnYnZnx();

Matrix3d mapnYnZnX(Matrix3d dest);

Matrix3d mapnZXy();

Matrix3d mapnZXY(Matrix3d dest);

Matrix3d mapnZXny();

Matrix3d mapnZXnY(Matrix3d dest);

Matrix3d mapnZYx();

Matrix3d mapnZYX(Matrix3d dest);

Matrix3d mapnZYnx();

Matrix3d mapnZYnX(Matrix3d dest);

Matrix3d mapnZnXy();

Matrix3d mapnZnXY(Matrix3d dest);

Matrix3d mapnZnXny();

Matrix3d mapnZnXnY(Matrix3d dest);

Matrix3d mapnZnYx();

Matrix3d mapnZnYX(Matrix3d dest);

Matrix3d mapnZnYnx();

Matrix3d mapnZnYnX(Matrix3d dest);

Matrix3d negatex();

Matrix3d negateX(Matrix3d dest);

Matrix3d negatey();

Matrix3d negateY(Matrix3d dest);

Matrix3d negatez();

Matrix3d negateZ(Matrix3d dest);

}

Constructors

this this(Matrix2d mat): Create a new {@link Matrix3d} by setting its uppper left 2x2 submatrix to the values of the given {@link Matrix2d} and the rest to identity.
this this(Matrix3d mat): Create a new {@link Matrix3d} and initialize it with the values from the given matrix.
this this(Matrix4d mat): Create a new {@link Matrix3d} and make it a copy of the upper left 3x3 of the given {@link Matrix4d}.
this this(double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22): Create a new {@link Matrix3d} and initialize its elements with the given values.
this this(Vector3d col0, Vector3d col1, Vector3d col2): Create a new {@link Matrix3d} and initialize its three columns using the supplied vectors.

Members

Functions

_m00 Matrix3d _m00(double m00): Set the value of the matrix element at column 0 and row 0.
_m01 Matrix3d _m01(double m01): Set the value of the matrix element at column 0 and row 1.
_m02 Matrix3d _m02(double m02): Set the value of the matrix element at column 0 and row 2.
_m10 Matrix3d _m10(double m10): Set the value of the matrix element at column 1 and row 0.
_m11 Matrix3d _m11(double m11): Set the value of the matrix element at column 1 and row 1.
_m12 Matrix3d _m12(double m12): Set the value of the matrix element at column 1 and row 2.
_m20 Matrix3d _m20(double m20): Set the value of the matrix element at column 2 and row 0.
_m21 Matrix3d _m21(double m21): Set the value of the matrix element at column 2 and row 1.
_m22 Matrix3d _m22(double m22): Set the value of the matrix element at column 2 and row 2.
add Matrix3d add(Matrix3d other): Component-wise add <code>this</code> and <code>other</code>.
add Matrix3d add(Matrix3d other, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
cofactor Matrix3d cofactor(Matrix3d dest): Compute the cofactor matrix of <code>this</code> and store it into <code>dest</code>. <p> The cofactor matrix can be used instead of {@link #normal(Matrix3d)} to transform normals when the orientation of the normals with respect to the surface should be preserved.
cofactor Matrix3d cofactor(): Compute the cofactor matrix of <code>this</code>. <p> The cofactor matrix can be used instead of {@link #normal()} to transform normals when the orientation of the normals with respect to the surface should be preserved.
determinant double determinant(): Undocumented in source. Be warned that the author may not have intended to support it.
equals bool equals(Matrix3d m, double delta): Undocumented in source. Be warned that the author may not have intended to support it.
get double get(int column, int row): Undocumented in source. Be warned that the author may not have intended to support it.
get float[] get(float[] arr): Undocumented in source. Be warned that the author may not have intended to support it.
get float[] get(float[] arr, int offset): Undocumented in source. Be warned that the author may not have intended to support it.
get double[] get(double[] arr): Undocumented in source. Be warned that the author may not have intended to support it.
get double[] get(double[] arr, int offset): Undocumented in source. Be warned that the author may not have intended to support it.
get Matrix3d get(Matrix3d dest): Get the current values of <code>this</code> matrix and store them into <code>dest</code>. <p> This is the reverse method of {@link #set(Matrix3d)} and allows to obtain intermediate calculation results when chaining multiple transformations.
getColumn Vector3d getColumn(int column, Vector3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
getEulerAnglesXYZ Vector3d getEulerAnglesXYZ(Vector3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
getEulerAnglesZYX Vector3d getEulerAnglesZYX(Vector3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
getNormalizedRotation Quaterniond getNormalizedRotation(Quaterniond dest): Undocumented in source. Be warned that the author may not have intended to support it.
getRow Vector3d getRow(int row, Vector3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
getRowColumn double getRowColumn(int row, int column): Undocumented in source. Be warned that the author may not have intended to support it.
getScale Vector3d getScale(Vector3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
getUnnormalizedRotation Quaterniond getUnnormalizedRotation(Quaterniond dest): Undocumented in source. Be warned that the author may not have intended to support it.
hashCode int hashCode(): Undocumented in source. Be warned that the author may not have intended to support it.
identity Matrix3d identity(): Set this matrix to the identity.
invert Matrix3d invert(): Invert this matrix.
invert Matrix3d invert(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
isFinite bool isFinite(): Undocumented in source. Be warned that the author may not have intended to support it.
lerp Matrix3d lerp(Matrix3d other, double t, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
lerp Matrix3d lerp(Matrix3d other, double t): Linearly interpolate <code>this</code> and <code>other</code> using the given interpolation factor <code>t</code> and store the result in <code>this</code>. <p> If <code>t</code> is <code>0.0</code> then the result is <code>this</code>. If the interpolation factor is <code>1.0</code> then the result is <code>other</code>.
lookAlong Matrix3d lookAlong(Vector3d dir, Vector3d up): Apply a rotation transformation to this matrix to make <code>-z</code> point along <code>dir</code>. <p> If <code>M</code> is <code>this</code> matrix and <code>L</code> the lookalong rotation matrix, then the new matrix will be <code>M * L</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * L * v</code>, the lookalong rotation transformation will be applied first! <p> In order to set the matrix to a lookalong transformation without post-multiplying it, use {@link #setLookAlong(Vector3d, Vector3d) setLookAlong()}.
lookAlong Matrix3d lookAlong(Vector3d dir, Vector3d up, Matrix3d dest): Apply a rotation transformation to this matrix to make <code>-z</code> point along <code>dir</code> and store the result in <code>dest</code>. <p> If <code>M</code> is <code>this</code> matrix and <code>L</code> the lookalong rotation matrix, then the new matrix will be <code>M * L</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * L * v</code>, the lookalong rotation transformation will be applied first! <p> In order to set the matrix to a lookalong transformation without post-multiplying it, use {@link #setLookAlong(Vector3d, Vector3d) setLookAlong()}.
lookAlong Matrix3d lookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ, Matrix3d dest): Apply a rotation transformation to this matrix to make <code>-z</code> point along <code>dir</code> and store the result in <code>dest</code>. <p> If <code>M</code> is <code>this</code> matrix and <code>L</code> the lookalong rotation matrix, then the new matrix will be <code>M * L</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * L * v</code>, the lookalong rotation transformation will be applied first! <p> In order to set the matrix to a lookalong transformation without post-multiplying it, use {@link #setLookAlong(double, double, double, double, double, double) setLookAlong()}
lookAlong Matrix3d lookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ): Apply a rotation transformation to this matrix to make <code>-z</code> point along <code>dir</code>. <p> If <code>M</code> is <code>this</code> matrix and <code>L</code> the lookalong rotation matrix, then the new matrix will be <code>M * L</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * L * v</code>, the lookalong rotation transformation will be applied first! <p> In order to set the matrix to a lookalong transformation without post-multiplying it, use {@link #setLookAlong(double, double, double, double, double, double) setLookAlong()}
mapXZY Matrix3d mapXZY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapXZnY Matrix3d mapXZnY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapXZny Matrix3d mapXZny(): Multiply <code>this</code> by the matrix <pre> 1 0 0 0 0 -1 0 1 0 </pre>
mapXZy Matrix3d mapXZy(): Multiply <code>this</code> by the matrix <pre> 1 0 0 0 0 1 0 1 0 </pre>
mapXnYnZ Matrix3d mapXnYnZ(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapXnYnz Matrix3d mapXnYnz(): Multiply <code>this</code> by the matrix <pre> 1 0 0 0 -1 0 0 0 -1 </pre>
mapXnZY Matrix3d mapXnZY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapXnZnY Matrix3d mapXnZnY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapXnZny Matrix3d mapXnZny(): Multiply <code>this</code> by the matrix <pre> 1 0 0 0 0 -1 0 -1 0 </pre>
mapXnZy Matrix3d mapXnZy(): Multiply <code>this</code> by the matrix <pre> 1 0 0 0 0 1 0 -1 0 </pre>
mapYXZ Matrix3d mapYXZ(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapYXnZ Matrix3d mapYXnZ(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapYXnz Matrix3d mapYXnz(): Multiply <code>this</code> by the matrix <pre> 0 1 0 1 0 0 0 0 -1 </pre>
mapYXz Matrix3d mapYXz(): Multiply <code>this</code> by the matrix <pre> 0 1 0 1 0 0 0 0 1 </pre>
mapYZX Matrix3d mapYZX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapYZnX Matrix3d mapYZnX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapYZnx Matrix3d mapYZnx(): Multiply <code>this</code> by the matrix <pre> 0 0 -1 1 0 0 0 1 0 </pre>
mapYZx Matrix3d mapYZx(): Multiply <code>this</code> by the matrix <pre> 0 0 1 1 0 0 0 1 0 </pre>
mapYnXZ Matrix3d mapYnXZ(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapYnXnZ Matrix3d mapYnXnZ(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapYnXnz Matrix3d mapYnXnz(): Multiply <code>this</code> by the matrix <pre> 0 -1 0 1 0 0 0 0 -1 </pre>
mapYnXz Matrix3d mapYnXz(): Multiply <code>this</code> by the matrix <pre> 0 -1 0 1 0 0 0 0 1 </pre>
mapYnZX Matrix3d mapYnZX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapYnZnX Matrix3d mapYnZnX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapYnZnx Matrix3d mapYnZnx(): Multiply <code>this</code> by the matrix <pre> 0 0 -1 1 0 0 0 -1 0 </pre>
mapYnZx Matrix3d mapYnZx(): Multiply <code>this</code> by the matrix <pre> 0 0 1 1 0 0 0 -1 0 </pre>
mapZXY Matrix3d mapZXY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapZXnY Matrix3d mapZXnY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapZXny Matrix3d mapZXny(): Multiply <code>this</code> by the matrix <pre> 0 1 0 0 0 -1 1 0 0 </pre>
mapZXy Matrix3d mapZXy(): Multiply <code>this</code> by the matrix <pre> 0 1 0 0 0 1 1 0 0 </pre>
mapZYX Matrix3d mapZYX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapZYnX Matrix3d mapZYnX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapZYnx Matrix3d mapZYnx(): Multiply <code>this</code> by the matrix <pre> 0 0 -1 0 1 0 1 0 0 </pre>
mapZYx Matrix3d mapZYx(): Multiply <code>this</code> by the matrix <pre> 0 0 1 0 1 0 1 0 0 </pre>
mapZnXY Matrix3d mapZnXY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapZnXnY Matrix3d mapZnXnY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapZnXny Matrix3d mapZnXny(): Multiply <code>this</code> by the matrix <pre> 0 -1 0 0 0 -1 1 0 0 </pre>
mapZnXy Matrix3d mapZnXy(): Multiply <code>this</code> by the matrix <pre> 0 -1 0 0 0 1 1 0 0 </pre>
mapZnYX Matrix3d mapZnYX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapZnYnX Matrix3d mapZnYnX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapZnYnx Matrix3d mapZnYnx(): Multiply <code>this</code> by the matrix <pre> 0 0 -1 0 -1 0 1 0 0 </pre>
mapZnYx Matrix3d mapZnYx(): Multiply <code>this</code> by the matrix <pre> 0 0 1 0 -1 0 1 0 0 </pre>
mapnXYnZ Matrix3d mapnXYnZ(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnXYnz Matrix3d mapnXYnz(): Multiply <code>this</code> by the matrix <pre> -1 0 0 0 1 0 0 0 -1 </pre>
mapnXZY Matrix3d mapnXZY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnXZnY Matrix3d mapnXZnY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnXZny Matrix3d mapnXZny(): Multiply <code>this</code> by the matrix <pre> -1 0 0 0 0 -1 0 1 0 </pre>
mapnXZy Matrix3d mapnXZy(): Multiply <code>this</code> by the matrix <pre> -1 0 0 0 0 1 0 1 0 </pre>
mapnXnYZ Matrix3d mapnXnYZ(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnXnYnZ Matrix3d mapnXnYnZ(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnXnYnz Matrix3d mapnXnYnz(): Multiply <code>this</code> by the matrix <pre> -1 0 0 0 -1 0 0 0 -1 </pre>
mapnXnYz Matrix3d mapnXnYz(): Multiply <code>this</code> by the matrix <pre> -1 0 0 0 -1 0 0 0 1 </pre>
mapnXnZY Matrix3d mapnXnZY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnXnZnY Matrix3d mapnXnZnY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnXnZny Matrix3d mapnXnZny(): Multiply <code>this</code> by the matrix <pre> -1 0 0 0 0 -1 0 -1 0 </pre>
mapnXnZy Matrix3d mapnXnZy(): Multiply <code>this</code> by the matrix <pre> -1 0 0 0 0 1 0 -1 0 </pre>
mapnYXZ Matrix3d mapnYXZ(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnYXnZ Matrix3d mapnYXnZ(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnYXnz Matrix3d mapnYXnz(): Multiply <code>this</code> by the matrix <pre> 0 1 0 -1 0 0 0 0 -1 </pre>
mapnYXz Matrix3d mapnYXz(): Multiply <code>this</code> by the matrix <pre> 0 1 0 -1 0 0 0 0 1 </pre>
mapnYZX Matrix3d mapnYZX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnYZnX Matrix3d mapnYZnX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnYZnx Matrix3d mapnYZnx(): Multiply <code>this</code> by the matrix <pre> 0 0 -1 -1 0 0 0 1 0 </pre>
mapnYZx Matrix3d mapnYZx(): Multiply <code>this</code> by the matrix <pre> 0 0 1 -1 0 0 0 1 0 </pre>
mapnYnXZ Matrix3d mapnYnXZ(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnYnXnZ Matrix3d mapnYnXnZ(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnYnXnz Matrix3d mapnYnXnz(): Multiply <code>this</code> by the matrix <pre> 0 -1 0 -1 0 0 0 0 -1 </pre>
mapnYnXz Matrix3d mapnYnXz(): Multiply <code>this</code> by the matrix <pre> 0 -1 0 -1 0 0 0 0 1 </pre>
mapnYnZX Matrix3d mapnYnZX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnYnZnX Matrix3d mapnYnZnX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnYnZnx Matrix3d mapnYnZnx(): Multiply <code>this</code> by the matrix <pre> 0 0 -1 -1 0 0 0 -1 0 </pre>
mapnYnZx Matrix3d mapnYnZx(): Multiply <code>this</code> by the matrix <pre> 0 0 1 -1 0 0 0 -1 0 </pre>
mapnZXY Matrix3d mapnZXY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnZXnY Matrix3d mapnZXnY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnZXny Matrix3d mapnZXny(): Multiply <code>this</code> by the matrix <pre> 0 1 0 0 0 -1 -1 0 0 </pre>
mapnZXy Matrix3d mapnZXy(): Multiply <code>this</code> by the matrix <pre> 0 1 0 0 0 1 -1 0 0 </pre>
mapnZYX Matrix3d mapnZYX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnZYnX Matrix3d mapnZYnX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnZYnx Matrix3d mapnZYnx(): Multiply <code>this</code> by the matrix <pre> 0 0 -1 0 1 0 -1 0 0 </pre>
mapnZYx Matrix3d mapnZYx(): Multiply <code>this</code> by the matrix <pre> 0 0 1 0 1 0 -1 0 0 </pre>
mapnZnXY Matrix3d mapnZnXY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnZnXnY Matrix3d mapnZnXnY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnZnXny Matrix3d mapnZnXny(): Multiply <code>this</code> by the matrix <pre> 0 -1 0 0 0 -1 -1 0 0 </pre>
mapnZnXy Matrix3d mapnZnXy(): Multiply <code>this</code> by the matrix <pre> 0 -1 0 0 0 1 -1 0 0 </pre>
mapnZnYX Matrix3d mapnZnYX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnZnYnX Matrix3d mapnZnYnX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mapnZnYnx Matrix3d mapnZnYnx(): Multiply <code>this</code> by the matrix <pre> 0 0 -1 0 -1 0 -1 0 0 </pre>
mapnZnYx Matrix3d mapnZnYx(): Multiply <code>this</code> by the matrix <pre> 0 0 1 0 -1 0 -1 0 0 </pre>
mul Matrix3d mul(Matrix3d right): Multiply this matrix by the supplied matrix. This matrix will be the left one. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the <code>right</code> matrix, then the new matrix will be <code>M * R</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * R * v</code>, the transformation of the right matrix will be applied first!
mul Matrix3d mul(Matrix3d right, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mulComponentWise Matrix3d mulComponentWise(Matrix3d other, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mulComponentWise Matrix3d mulComponentWise(Matrix3d other): Component-wise multiply <code>this</code> by <code>other</code>.
mulLocal Matrix3d mulLocal(Matrix3d left): Pre-multiply this matrix by the supplied <code>left</code> matrix and store the result in <code>this</code>. <p> If <code>M</code> is <code>this</code> matrix and <code>L</code> the <code>left</code> matrix, then the new matrix will be <code>L * M</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>L * M * v</code>, the transformation of <code>this</code> matrix will be applied first!
mulLocal Matrix3d mulLocal(Matrix3d left, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
negateX Matrix3d negateX(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
negateY Matrix3d negateY(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
negateZ Matrix3d negateZ(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
negatex Matrix3d negatex(): Multiply <code>this</code> by the matrix <pre> -1 0 0 0 1 0 0 0 1 </pre>
negatey Matrix3d negatey(): Multiply <code>this</code> by the matrix <pre> 1 0 0 0 -1 0 0 0 1 </pre>
negatez Matrix3d negatez(): Multiply <code>this</code> by the matrix <pre> 1 0 0 0 1 0 0 0 -1 </pre>
normal Matrix3d normal(Matrix3d dest): Compute a normal matrix from <code>this</code> matrix and store it into <code>dest</code>. <p> The normal matrix of <code>m</code> is the transpose of the inverse of <code>m</code>. <p> Please note that, if <code>this</code> is an orthogonal matrix or a matrix whose columns are orthogonal vectors, then this method <i>need not</i> be invoked, since in that case <code>this</code> itself is its normal matrix. In this case, use {@link #set(Matrix3d)} to set a given Matrix3d to this matrix.
normal Matrix3d normal(): Set <code>this</code> matrix to its own normal matrix. <p> The normal matrix of <code>m</code> is the transpose of the inverse of <code>m</code>. <p> Please note that, if <code>this</code> is an orthogonal matrix or a matrix whose columns are orthogonal vectors, then this method <i>need not</i> be invoked, since in that case <code>this</code> itself is its normal matrix. In this case, use {@link #set(Matrix3d)} to set a given Matrix3f to this matrix.
normalizedPositiveX Vector3d normalizedPositiveX(Vector3d dir): Undocumented in source. Be warned that the author may not have intended to support it.
normalizedPositiveY Vector3d normalizedPositiveY(Vector3d dir): Undocumented in source. Be warned that the author may not have intended to support it.
normalizedPositiveZ Vector3d normalizedPositiveZ(Vector3d dir): Undocumented in source. Be warned that the author may not have intended to support it.
obliqueZ Matrix3d obliqueZ(double a, double b, Matrix3d dest): Apply an oblique projection transformation to this matrix with the given values for <code>a</code> and <code>b</code> and store the result in <code>dest</code>. <p> If <code>M</code> is <code>this</code> matrix and <code>O</code> the oblique transformation matrix, then the new matrix will be <code>M * O</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * O * v</code>, the oblique transformation will be applied first! <p> The oblique transformation is defined as: <pre> x' = x + a*z y' = y + a*z z' = z </pre> or in matrix form: <pre> 1 0 a 0 1 b 0 0 1 </pre>
obliqueZ Matrix3d obliqueZ(double a, double b): Apply an oblique projection transformation to this matrix with the given values for <code>a</code> and <code>b</code>. <p> If <code>M</code> is <code>this</code> matrix and <code>O</code> the oblique transformation matrix, then the new matrix will be <code>M * O</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * O * v</code>, the oblique transformation will be applied first! <p> The oblique transformation is defined as: <pre> x' = x + a*z y' = y + a*z z' = z </pre> or in matrix form: <pre> 1 0 a 0 1 b 0 0 1 </pre>
positiveX Vector3d positiveX(Vector3d dir): Undocumented in source. Be warned that the author may not have intended to support it.
positiveY Vector3d positiveY(Vector3d dir): Undocumented in source. Be warned that the author may not have intended to support it.
positiveZ Vector3d positiveZ(Vector3d dir): Undocumented in source. Be warned that the author may not have intended to support it.
quadraticFormProduct double quadraticFormProduct(double x, double y, double z): Undocumented in source. Be warned that the author may not have intended to support it.
quadraticFormProduct double quadraticFormProduct(Vector3d v): Undocumented in source. Be warned that the author may not have intended to support it.
reflect Matrix3d reflect(double nx, double ny, double nz, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
reflect Matrix3d reflect(double nx, double ny, double nz): Apply a mirror/reflection transformation to this matrix that reflects through the given plane specified via the plane normal. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the reflection matrix, then the new matrix will be <code>M * R</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * R * v</code>, the reflection will be applied first!
reflect Matrix3d reflect(Vector3d normal): Apply a mirror/reflection transformation to this matrix that reflects through the given plane specified via the plane normal. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the reflection matrix, then the new matrix will be <code>M * R</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * R * v</code>, the reflection will be applied first!
reflect Matrix3d reflect(Quaterniond orientation): Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation. <p> This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is <code>(0, 0, 1)</code>. So, if the given {@link Quaterniond} is the identity (does not apply any additional rotation), the reflection plane will be <code>z=0</code>. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the reflection matrix, then the new matrix will be <code>M * R</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * R * v</code>, the reflection will be applied first!
reflect Matrix3d reflect(Quaterniond orientation, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
reflect Matrix3d reflect(Vector3d normal, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
reflection Matrix3d reflection(double nx, double ny, double nz): Set this matrix to a mirror/reflection transformation that reflects through the given plane specified via the plane normal.
reflection Matrix3d reflection(Vector3d normal): Set this matrix to a mirror/reflection transformation that reflects through the given plane specified via the plane normal.
reflection Matrix3d reflection(Quaterniond orientation): Set this matrix to a mirror/reflection transformation that reflects through a plane specified via the plane orientation. <p> This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is <code>(0, 0, 1)</code>. So, if the given {@link Quaterniond} is the identity (does not apply any additional rotation), the reflection plane will be <code>z=0</code>, offset by the given <code>point</code>.
rotate Matrix3d rotate(double angle, Vector3d axis, Matrix3d dest): Apply a rotation transformation, rotating the given radians about the specified axis and store the result in <code>dest</code>. <p> The axis described by the <code>axis</code> vector needs to be a unit vector. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>A</code> the rotation matrix obtained from the given axis and angle, then the new matrix will be <code>M * A</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * A * v</code>, the axis-angle rotation will be applied first! <p> In order to set the matrix to a rotation transformation without post-multiplying, use {@link #rotation(double, Vector3d)}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Axis_and_angle">http://en.wikipedia.org</a>
rotate Matrix3d rotate(double angle, Vector3d axis): Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix. <p> The axis described by the <code>axis</code> vector needs to be a unit vector. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>A</code> the rotation matrix obtained from the given angle and axis, then the new matrix will be <code>M * A</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * A * v</code>, the axis-angle rotation will be applied first! <p> In order to set the matrix to a rotation transformation without post-multiplying, use {@link #rotation(double, Vector3d)}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Axis_and_angle">http://en.wikipedia.org</a>
rotate Matrix3d rotate(AxisAngle4d axisAngle, Matrix3d dest): Apply a rotation transformation, rotating about the given {@link AxisAngle4d} and store the result in <code>dest</code>. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>A</code> the rotation matrix obtained from the given {@link AxisAngle4d}, then the new matrix will be <code>M * A</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * A * v</code>, the {@link AxisAngle4d} rotation will be applied first! <p> In order to set the matrix to a rotation transformation without post-multiplying, use {@link #rotation(AxisAngle4d)}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Axis_and_angle">http://en.wikipedia.org</a>
rotate Matrix3d rotate(AxisAngle4d axisAngle): Apply a rotation transformation, rotating about the given {@link AxisAngle4d}, to this matrix. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>A</code> the rotation matrix obtained from the given {@link AxisAngle4d}, then the new matrix will be <code>M * A</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * A * v</code>, the {@link AxisAngle4d} rotation will be applied first! <p> In order to set the matrix to a rotation transformation without post-multiplying, use {@link #rotation(AxisAngle4d)}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Axis_and_angle">http://en.wikipedia.org</a>
rotate Matrix3d rotate(Quaterniond quat, Matrix3d dest): Apply the rotation - and possibly scaling - transformation of the given {@link Quaterniond} to this matrix and store the result in <code>dest</code>. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>Q</code> the rotation matrix obtained from the given quaternion, then the new matrix will be <code>M * Q</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * Q * v</code>, the quaternion rotation will be applied first! <p> In order to set the matrix to a rotation transformation without post-multiplying, use {@link #rotation(Quaterniond)}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Quaternion">http://en.wikipedia.org</a>
rotate Matrix3d rotate(Quaterniond quat): Apply the rotation - and possibly scaling - transformation of the given {@link Quaterniond} to this matrix. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>Q</code> the rotation matrix obtained from the given quaternion, then the new matrix will be <code>M * Q</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * Q * v</code>, the quaternion rotation will be applied first! <p> In order to set the matrix to a rotation transformation without post-multiplying, use {@link #rotation(Quaterniond)}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Quaternion">http://en.wikipedia.org</a>
rotate Matrix3d rotate(double ang, double x, double y, double z, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
rotate Matrix3d rotate(double ang, double x, double y, double z): Apply rotation to this matrix by rotating the given amount of radians about the given axis specified as x, y and z components. <p> The axis described by the three components needs to be a unit vector. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>M * R</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * R * v</code> , the rotation will be applied first! <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Rotation_matrix_from_axis_and_angle">http://en.wikipedia.org</a>
rotateLocal Matrix3d rotateLocal(Quaterniond quat): Pre-multiply the rotation - and possibly scaling - transformation of the given {@link Quaterniond} to this matrix. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>Q</code> the rotation matrix obtained from the given quaternion, then the new matrix will be <code>Q * M</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>Q * M * v</code>, the quaternion rotation will be applied last! <p> In order to set the matrix to a rotation transformation without pre-multiplying, use {@link #rotation(Quaterniond)}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Quaternion">http://en.wikipedia.org</a>
rotateLocal Matrix3d rotateLocal(Quaterniond quat, Matrix3d dest): Pre-multiply the rotation - and possibly scaling - transformation of the given {@link Quaterniond} to this matrix and store the result in <code>dest</code>. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>Q</code> the rotation matrix obtained from the given quaternion, then the new matrix will be <code>Q * M</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>Q * M * v</code>, the quaternion rotation will be applied last! <p> In order to set the matrix to a rotation transformation without pre-multiplying, use {@link #rotation(Quaterniond)}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Quaternion">http://en.wikipedia.org</a>
rotateLocal Matrix3d rotateLocal(double ang, double x, double y, double z): Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified <code>(x, y, z)</code> axis. <p> The axis described by the three components needs to be a unit vector. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>R * M</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>R * M * v</code>, the rotation will be applied last! <p> In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use {@link #rotation(double, double, double, double) rotation()}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Rotation_matrix_from_axis_and_angle">http://en.wikipedia.org</a>
rotateLocal Matrix3d rotateLocal(double ang, double x, double y, double z, Matrix3d dest): Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified <code>(x, y, z)</code> axis and store the result in <code>dest</code>. <p> The axis described by the three components needs to be a unit vector. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>R * M</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>R * M * v</code>, the rotation will be applied last! <p> In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use {@link #rotation(double, double, double, double) rotation()}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Rotation_matrix_from_axis_and_angle">http://en.wikipedia.org</a>
rotateLocalX Matrix3d rotateLocalX(double ang): Pre-multiply a rotation to this matrix by rotating the given amount of radians about the X axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>R * M</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>R * M * v</code>, the rotation will be applied last! <p> In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use {@link #rotationX(double) rotationx}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Rotation_matrix_from_axis_and_angle">http://en.wikipedia.org</a>
rotateLocalX Matrix3d rotateLocalX(double ang, Matrix3d dest): Pre-multiply a rotation around the X axis to this matrix by rotating the given amount of radians about the X axis and store the result in <code>dest</code>. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>R * M</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>R * M * v</code>, the rotation will be applied last! <p> In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use {@link #rotationX(double) rotationx}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Rotation_matrix_from_axis_and_angle">http://en.wikipedia.org</a>
rotateLocalY Matrix3d rotateLocalY(double ang): Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Y axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>R * M</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>R * M * v</code>, the rotation will be applied last! <p> In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use {@link #rotationY(double) rotationy}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Rotation_matrix_from_axis_and_angle">http://en.wikipedia.org</a>
rotateLocalY Matrix3d rotateLocalY(double ang, Matrix3d dest): Pre-multiply a rotation around the Y axis to this matrix by rotating the given amount of radians about the Y axis and store the result in <code>dest</code>. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>R * M</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>R * M * v</code>, the rotation will be applied last! <p> In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use {@link #rotationY(double) rotationy}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Rotation_matrix_from_axis_and_angle">http://en.wikipedia.org</a>
rotateLocalZ Matrix3d rotateLocalZ(double ang): Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Z axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>R * M</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>R * M * v</code>, the rotation will be applied last! <p> In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use {@link #rotationZ(double) rotationy}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Rotation_matrix_from_axis_and_angle">http://en.wikipedia.org</a>
rotateLocalZ Matrix3d rotateLocalZ(double ang, Matrix3d dest): Pre-multiply a rotation around the Z axis to this matrix by rotating the given amount of radians about the Z axis and store the result in <code>dest</code>. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>R * M</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>R * M * v</code>, the rotation will be applied last! <p> In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use {@link #rotationZ(double) rotationz}. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Rotation_matrix_from_axis_and_angle">http://en.wikipedia.org</a>
rotateTowards Matrix3d rotateTowards(Vector3d direction, Vector3d up, Matrix3d dest): Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local <code>+Z</code> axis with <code>direction</code> and store the result in <code>dest</code>. <p> If <code>M</code> is <code>this</code> matrix and <code>L</code> the lookat matrix, then the new matrix will be <code>M * L</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * L * v</code>, the lookat transformation will be applied first! <p> In order to set the matrix to a rotation transformation without post-multiplying it, use {@link #rotationTowards(Vector3d, Vector3d) rotationTowards()}. <p> This method is equivalent to calling: <code>mul(new Matrix3d().lookAlong(new Vector3d(dir).negate(), up).invert(), dest)</code>
rotateTowards Matrix3d rotateTowards(Vector3d direction, Vector3d up): Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local <code>+Z</code> axis with <code>direction</code>. <p> If <code>M</code> is <code>this</code> matrix and <code>L</code> the lookat matrix, then the new matrix will be <code>M * L</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * L * v</code>, the lookat transformation will be applied first! <p> In order to set the matrix to a rotation transformation without post-multiplying it, use {@link #rotationTowards(Vector3d, Vector3d) rotationTowards()}. <p> This method is equivalent to calling: <code>mul(new Matrix3d().lookAlong(new Vector3d(dir).negate(), up).invert())</code>
rotateTowards Matrix3d rotateTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ): Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local <code>+Z</code> axis with <code>direction</code>. <p> If <code>M</code> is <code>this</code> matrix and <code>L</code> the lookat matrix, then the new matrix will be <code>M * L</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * L * v</code>, the lookat transformation will be applied first! <p> In order to set the matrix to a rotation transformation without post-multiplying it, use {@link #rotationTowards(double, double, double, double, double, double) rotationTowards()}. <p> This method is equivalent to calling: <code>mul(new Matrix3d().lookAlong(-dirX, -dirY, -dirZ, upX, upY, upZ).invert())</code>
rotateTowards Matrix3d rotateTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ, Matrix3d dest): Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local <code>+Z</code> axis with <code>dir</code> and store the result in <code>dest</code>. <p> If <code>M</code> is <code>this</code> matrix and <code>L</code> the lookat matrix, then the new matrix will be <code>M * L</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * L * v</code>, the lookat transformation will be applied first! <p> In order to set the matrix to a rotation transformation without post-multiplying it, use {@link #rotationTowards(double, double, double, double, double, double) rotationTowards()}. <p> This method is equivalent to calling: <code>mul(new Matrix3d().lookAlong(-dirX, -dirY, -dirZ, upX, upY, upZ).invert(), dest)</code>
rotateX Matrix3d rotateX(double ang): Apply rotation about the X axis to this matrix by rotating the given amount of radians. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>M * R</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * R * v</code> , the rotation will be applied first! <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Basic_rotations">http://en.wikipedia.org</a>
rotateX Matrix3d rotateX(double ang, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
rotateXYZ Matrix3d rotateXYZ(double angleX, double angleY, double angleZ, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
rotateXYZ Matrix3d rotateXYZ(double angleX, double angleY, double angleZ): Apply rotation of <code>angleX</code> radians about the X axis, followed by a rotation of <code>angleY</code> radians about the Y axis and followed by a rotation of <code>angleZ</code> radians about the Z axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>M * R</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * R * v</code>, the rotation will be applied first! <p> This method is equivalent to calling: <code>rotateX(angleX).rotateY(angleY).rotateZ(angleZ)</code>
rotateY Matrix3d rotateY(double ang): Apply rotation about the Y axis to this matrix by rotating the given amount of radians. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>M * R</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * R * v</code> , the rotation will be applied first! <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Basic_rotations">http://en.wikipedia.org</a>
rotateY Matrix3d rotateY(double ang, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
rotateYXZ Matrix3d rotateYXZ(double angleY, double angleX, double angleZ, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
rotateYXZ Matrix3d rotateYXZ(double angleY, double angleX, double angleZ): Apply rotation of <code>angleY</code> radians about the Y axis, followed by a rotation of <code>angleX</code> radians about the X axis and followed by a rotation of <code>angleZ</code> radians about the Z axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>M * R</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * R * v</code>, the rotation will be applied first! <p> This method is equivalent to calling: <code>rotateY(angleY).rotateX(angleX).rotateZ(angleZ)</code>
rotateYXZ Matrix3d rotateYXZ(Vector3d angles): Apply rotation of <code>angles.y</code> radians about the Y axis, followed by a rotation of <code>angles.x</code> radians about the X axis and followed by a rotation of <code>angles.z</code> radians about the Z axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>M * R</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * R * v</code>, the rotation will be applied first! <p> This method is equivalent to calling: <code>rotateY(angles.y).rotateX(angles.x).rotateZ(angles.z)</code>
rotateZ Matrix3d rotateZ(double ang): Apply rotation about the Z axis to this matrix by rotating the given amount of radians. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>M * R</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * R * v</code> , the rotation will be applied first! <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Basic_rotations">http://en.wikipedia.org</a>
rotateZ Matrix3d rotateZ(double ang, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
rotateZYX Matrix3d rotateZYX(double angleZ, double angleY, double angleX, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
rotateZYX Matrix3d rotateZYX(double angleZ, double angleY, double angleX): Apply rotation of <code>angleZ</code> radians about the Z axis, followed by a rotation of <code>angleY</code> radians about the Y axis and followed by a rotation of <code>angleX</code> radians about the X axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> If <code>M</code> is <code>this</code> matrix and <code>R</code> the rotation matrix, then the new matrix will be <code>M * R</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * R * v</code>, the rotation will be applied first! <p> This method is equivalent to calling: <code>rotateZ(angleZ).rotateY(angleY).rotateX(angleX)</code>
rotation Matrix3d rotation(Quaterniond quat): Set this matrix to the rotation - and possibly scaling - transformation of the given {@link Quaterniond}. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation. <p> In order to apply the rotation transformation to an existing transformation, use {@link #rotate(Quaterniond) rotate()} instead. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Quaternion">http://en.wikipedia.org</a>
rotation Matrix3d rotation(double angle, double x, double y, double z): Set this matrix to a rotation matrix which rotates the given radians about a given axis. <p> The axis described by the three components needs to be a unit vector. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation. <p> In order to apply the rotation transformation to an existing transformation, use {@link #rotate(double, double, double, double) rotate()} instead. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Rotation_matrix_from_axis_and_angle">http://en.wikipedia.org</a>
rotation Matrix3d rotation(AxisAngle4d axisAngle): Set this matrix to a rotation transformation using the given {@link AxisAngle4d}. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation. <p> In order to apply the rotation transformation to an existing transformation, use {@link #rotate(AxisAngle4d) rotate()} instead. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Axis_and_angle">http://en.wikipedia.org</a>
rotation Matrix3d rotation(double angle, Vector3d axis): Set this matrix to a rotation matrix which rotates the given radians about a given axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation. <p> In order to post-multiply a rotation transformation directly to a matrix, use {@link #rotate(double, Vector3d) rotate()} instead.
rotationTowards Matrix3d rotationTowards(Vector3d dir, Vector3d up): Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local <code>-z</code> axis with <code>center - eye</code>. <p> In order to apply the rotation transformation to a previous existing transformation, use {@link #rotateTowards(double, double, double, double, double, double) rotateTowards}. <p> This method is equivalent to calling: <code>setLookAlong(new Vector3d(dir).negate(), up).invert()</code>
rotationTowards Matrix3d rotationTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ): Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local <code>-z</code> axis with <code>center - eye</code>. <p> In order to apply the rotation transformation to a previous existing transformation, use {@link #rotateTowards(double, double, double, double, double, double) rotateTowards}. <p> This method is equivalent to calling: <code>setLookAlong(-dirX, -dirY, -dirZ, upX, upY, upZ).invert()</code>
rotationX Matrix3d rotationX(double ang): Set this matrix to a rotation transformation about the X axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Basic_rotations">http://en.wikipedia.org</a>
rotationXYZ Matrix3d rotationXYZ(double angleX, double angleY, double angleZ): Set this matrix to a rotation of <code>angleX</code> radians about the X axis, followed by a rotation of <code>angleY</code> radians about the Y axis and followed by a rotation of <code>angleZ</code> radians about the Z axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> This method is equivalent to calling: <code>rotationX(angleX).rotateY(angleY).rotateZ(angleZ)</code>
rotationY Matrix3d rotationY(double ang): Set this matrix to a rotation transformation about the Y axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Basic_rotations">http://en.wikipedia.org</a>
rotationYXZ Matrix3d rotationYXZ(double angleY, double angleX, double angleZ): Set this matrix to a rotation of <code>angleY</code> radians about the Y axis, followed by a rotation of <code>angleX</code> radians about the X axis and followed by a rotation of <code>angleZ</code> radians about the Z axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> This method is equivalent to calling: <code>rotationY(angleY).rotateX(angleX).rotateZ(angleZ)</code>
rotationZ Matrix3d rotationZ(double ang): Set this matrix to a rotation transformation about the Z axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> Reference: <a href="http://en.wikipedia.org/wiki/Rotation_matrix#Basic_rotations">http://en.wikipedia.org</a>
rotationZYX Matrix3d rotationZYX(double angleZ, double angleY, double angleX): Set this matrix to a rotation of <code>angleZ</code> radians about the Z axis, followed by a rotation of <code>angleY</code> radians about the Y axis and followed by a rotation of <code>angleX</code> radians about the X axis. <p> When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise. <p> This method is equivalent to calling: <code>rotationZ(angleZ).rotateY(angleY).rotateX(angleX)</code>
scale Matrix3d scale(double xyz): Apply scaling to this matrix by uniformly scaling all base axes by the given <code>xyz</code> factor. <p> If <code>M</code> is <code>this</code> matrix and <code>S</code> the scaling matrix, then the new matrix will be <code>M * S</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * S * v</code> , the scaling will be applied first!
scale Matrix3d scale(double xyz, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
scale Matrix3d scale(double x, double y, double z): Apply scaling to this matrix by scaling the base axes by the given x, y and z factors. <p> If <code>M</code> is <code>this</code> matrix and <code>S</code> the scaling matrix, then the new matrix will be <code>M * S</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * S * v</code> , the scaling will be applied first!
scale Matrix3d scale(double x, double y, double z, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
scale Matrix3d scale(Vector3d xyz): Apply scaling to this matrix by scaling the base axes by the given <code>xyz.x</code>, <code>xyz.y</code> and <code>xyz.z</code> factors, respectively. <p> If <code>M</code> is <code>this</code> matrix and <code>S</code> the scaling matrix, then the new matrix will be <code>M * S</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>M * S * v</code>, the scaling will be applied first!
scale Matrix3d scale(Vector3d xyz, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
scaleLocal Matrix3d scaleLocal(double x, double y, double z): Pre-multiply scaling to this matrix by scaling the base axes by the given x, y and z factors. <p> If <code>M</code> is <code>this</code> matrix and <code>S</code> the scaling matrix, then the new matrix will be <code>S * M</code>. So when transforming a vector <code>v</code> with the new matrix by using <code>S * M * v</code>, the scaling will be applied last!
scaleLocal Matrix3d scaleLocal(double x, double y, double z, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
scaling Matrix3d scaling(Vector3d xyz): Set this matrix to be a simple scale matrix which scales the base axes by <code>xyz.x</code>, <code>xyz.y</code> and <code>xyz.z</code> respectively. <p> The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling. <p> In order to post-multiply a scaling transformation directly to a matrix use {@link #scale(Vector3d) scale()} instead.
scaling Matrix3d scaling(double x, double y, double z): Set this matrix to be a simple scale matrix.
scaling Matrix3d scaling(double factor): Set this matrix to be a simple scale matrix, which scales all axes uniformly by the given factor. <p> The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling. <p> In order to post-multiply a scaling transformation directly to a matrix, use {@link #scale(double) scale()} instead.
set Matrix3d set(int column, int row, double value): Set the matrix element at the given column and row to the specified value.
set Matrix3d set(Vector3d col0, Vector3d col1, Vector3d col2): Set the three columns of this matrix to the supplied vectors, respectively.
set Matrix3d set(float[] m): Set the values in this matrix based on the supplied double array. The result looks like this: <p> 0, 3, 6<br> 1, 4, 7<br> 2, 5, 8<br> <p> Only uses the first 9 values, all others are ignored
set Matrix3d set(double[] m): Set the values in this matrix based on the supplied double array. The result looks like this: <p> 0, 3, 6<br> 1, 4, 7<br> 2, 5, 8<br> <p> Only uses the first 9 values, all others are ignored.
set Matrix3d set(double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22): Set the values within this matrix to the supplied double values. The result looks like this: <p> m00, m10, m20<br> m01, m11, m21<br> m02, m12, m22<br>
set Matrix3d set(Quaterniond q): Set this matrix to a rotation - and possibly scaling - equivalent to the given quaternion. <p> This method is equivalent to calling: <code>rotation(q)</code> <p> Reference: <a href="http://www.euclideanspace.com/maths/geometry/rotations/conversions/quaternionToMatrix/">http://www.euclideanspace.com/</a>
set Matrix3d set(AxisAngle4d axisAngle): Set this matrix to be equivalent to the rotation specified by the given {@link AxisAngle4d}.
set Matrix3d set(Matrix2d mat): Set the upper left 2x2 submatrix of this {@link Matrix3d} to the given {@link Matrix2d} and the rest to identity.
set Matrix3d set(Matrix4d mat): Set the elements of this matrix to the upper left 3x3 of the given {@link Matrix4d}.
set Matrix3d set(Matrix4x3d m): Set the elements of this matrix to the left 3x3 submatrix of <code>m</code>.
set Matrix3d set(Matrix3d m): Set the values in this matrix to the ones in m.
setColumn Matrix3d setColumn(int column, double x, double y, double z): Set the column at the given <code>column</code> index, starting with <code>0</code>.
setColumn Matrix3d setColumn(int column, Vector3d src): Set the column at the given <code>column</code> index, starting with <code>0</code>.
setLookAlong Matrix3d setLookAlong(Vector3d dir, Vector3d up): Set this matrix to a rotation transformation to make <code>-z</code> point along <code>dir</code>. <p> In order to apply the lookalong transformation to any previous existing transformation, use {@link #lookAlong(Vector3d, Vector3d)}.
setLookAlong Matrix3d setLookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ): Set this matrix to a rotation transformation to make <code>-z</code> point along <code>dir</code>. <p> In order to apply the lookalong transformation to any previous existing transformation, use {@link #lookAlong(double, double, double, double, double, double) lookAlong()}
setRow Matrix3d setRow(int row, double x, double y, double z): Set the row at the given <code>row</code> index, starting with <code>0</code>.
setRow Matrix3d setRow(int row, Vector3d src): Set the row at the given <code>row</code> index, starting with <code>0</code>.
setRowColumn Matrix3d setRowColumn(int row, int column, double value): Set the matrix element at the given row and column to the specified value.
setSkewSymmetric Matrix3d setSkewSymmetric(double a, double b, double c): Set this matrix to a skew-symmetric matrix using the following layout: <pre> 0, a, -b -a, 0, c b, -c, 0 </pre>
setTransposed Matrix3d setTransposed(Matrix3d m): Store the values of the transpose of the given matrix <code>m</code> into <code>this</code> matrix.
setm00 Matrix3d setm00(double m00): Set the value of the matrix element at column 0 and row 0.
setm01 Matrix3d setm01(double m01): Set the value of the matrix element at column 0 and row 1.
setm02 Matrix3d setm02(double m02): Set the value of the matrix element at column 0 and row 2.
setm10 Matrix3d setm10(double m10): Set the value of the matrix element at column 1 and row 0.
setm11 Matrix3d setm11(double m11): Set the value of the matrix element at column 1 and row 1.
setm12 Matrix3d setm12(double m12): Set the value of the matrix element at column 1 and row 2.
setm20 Matrix3d setm20(double m20): Set the value of the matrix element at column 2 and row 0.
setm21 Matrix3d setm21(double m21): Set the value of the matrix element at column 2 and row 1.
setm22 Matrix3d setm22(double m22): Set the value of the matrix element at column 2 and row 2.
sub Matrix3d sub(Matrix3d subtrahend): Component-wise subtract <code>subtrahend</code> from <code>this</code>.
sub Matrix3d sub(Matrix3d subtrahend, Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
swap Matrix3d swap(Matrix3d other): Exchange the values of <code>this</code> matrix with the given <code>other</code> matrix.
transform Vector3d transform(double x, double y, double z, Vector3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
transform Vector3d transform(Vector3d v, Vector3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
transform Vector3d transform(Vector3d v): Undocumented in source. Be warned that the author may not have intended to support it.
transformTranspose Vector3d transformTranspose(double x, double y, double z, Vector3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
transformTranspose Vector3d transformTranspose(Vector3d v, Vector3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
transformTranspose Vector3d transformTranspose(Vector3d v): Undocumented in source. Be warned that the author may not have intended to support it.
transpose Matrix3d transpose(Matrix3d dest): Undocumented in source. Be warned that the author may not have intended to support it.
transpose Matrix3d transpose(): Transpose this matrix.
zero Matrix3d zero(): Set all the values within this matrix to 0.

Variables

m00 double m00;: Undocumented in source.
m01 double m01;: Undocumented in source.
m02 double m02;: Undocumented in source.
m10 double m10;: Undocumented in source.
m11 double m11;: Undocumented in source.
m12 double m12;: Undocumented in source.
m20 double m20;: Undocumented in source.
m21 double m21;: Undocumented in source.
m22 double m22;: Undocumented in source.

Meta

Source

See Implementation

matrix_3d structs

Matrix3d