Matrix2d

Contains the definition of a 2x2 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<br> m01 m11<br>

@author Joseph Burton

struct Matrix2d {

this(Matrix2d mat);

this(Matrix3d mat);

this(double m00, double m01, double m10, double m11);

this(Vector2d col0, Vector2d col1);

Matrix2d setm00(double m00);

Matrix2d setm01(double m01);

Matrix2d setm10(double m10);

Matrix2d setm11(double m11);

Matrix2d _m00(double m00);

Matrix2d _m01(double m01);

Matrix2d _m10(double m10);

Matrix2d _m11(double m11);

Matrix2d set(Matrix2d m);

Matrix2d set(Matrix3x2d m);

Matrix2d set(Matrix3d m);

Matrix2d mul(Matrix2d right);

Matrix2d mul(Matrix2d right, Matrix2d dest);

Matrix2d mulLocal(Matrix2d left);

Matrix2d mulLocal(Matrix2d left, Matrix2d dest);

Matrix2d set(double m00, double m01, double m10, double m11);

Matrix2d set(Vector2d col0, Vector2d col1);

double determinant();

Matrix2d invert();

Matrix2d invert(Matrix2d dest);

Matrix2d transpose();

Matrix2d transpose(Matrix2d dest);

Matrix2d get(Matrix2d dest);

Matrix3x2d get(Matrix3x2d dest);

Matrix3d get(Matrix3d dest);

double getRotation();

Matrix2d zero();

Matrix2d identity();

Matrix2d scale(Vector2d xy, Matrix2d dest);

Matrix2d scale(Vector2d xy);

Matrix2d scale(double x, double y, Matrix2d dest);

Matrix2d scale(double x, double y);

Matrix2d scale(double xy, Matrix2d dest);

Matrix2d scale(double xy);

Matrix2d scaleLocal(double x, double y, Matrix2d dest);

Matrix2d scaleLocal(double x, double y);

Matrix2d scaling(double factor);

Matrix2d scaling(double x, double y);

Matrix2d scaling(Vector2d xy);

Matrix2d rotation(double angle);

Vector2d transform(Vector2d v);

Vector2d transform(Vector2d v, Vector2d dest);

Vector2d transform(double x, double y, Vector2d dest);

Vector2d transformTranspose(Vector2d v);

Vector2d transformTranspose(Vector2d v, Vector2d dest);

Vector2d transformTranspose(double x, double y, Vector2d dest);

Matrix2d rotate(double angle);

Matrix2d rotate(double angle, Matrix2d dest);

Matrix2d rotateLocal(double angle);

Matrix2d rotateLocal(double angle, Matrix2d dest);

Vector2d getRow(int row, Vector2d dest);

Matrix2d setRow(int row, Vector2d src);

Matrix2d setRow(int row, double x, double y);

Vector2d getColumn(int column, Vector2d dest);

Matrix2d setColumn(int column, Vector2d src);

Matrix2d setColumn(int column, double x, double y);

double get(int column, int row);

Matrix2d set(int column, int row, double value);

Matrix2d normal();

Matrix2d normal(Matrix2d dest);

Vector2d getScale(Vector2d dest);

Vector2d positiveX(Vector2d dir);

Vector2d normalizedPositiveX(Vector2d dir);

Vector2d positiveY(Vector2d dir);

Vector2d normalizedPositiveY(Vector2d dir);

int hashCode();

bool equals(Matrix2d m, double delta);

Matrix2d swap(Matrix2d other);

Matrix2d add(Matrix2d other);

Matrix2d add(Matrix2d other, Matrix2d dest);

Matrix2d sub(Matrix2d subtrahend);

Matrix2d sub(Matrix2d other, Matrix2d dest);

Matrix2d mulComponentWise(Matrix2d other);

Matrix2d mulComponentWise(Matrix2d other, Matrix2d dest);

Matrix2d lerp(Matrix2d other, double t);

Matrix2d lerp(Matrix2d other, double t, Matrix2d dest);

bool isFinite();

}

Constructors

this this(Matrix2d mat): Create a new {@link Matrix2d} and make it a copy of the given matrix.
this this(Matrix3d mat): Create a new {@link Matrix2d} and make it a copy of the upper left 2x2 of the given {@link Matrix3d}.
this this(double m00, double m01, double m10, double m11): Create a new 2x2 matrix using the supplied double values. The order of the parameter is column-major, so the first two parameters specify the two elements of the first column.
this this(Vector2d col0, Vector2d col1): Create a new {@link Matrix2d} and initialize its two columns using the supplied vectors.

Members

Functions

_m00 Matrix2d _m00(double m00): Set the value of the matrix element at column 0 and row 0.
_m01 Matrix2d _m01(double m01): Set the value of the matrix element at column 0 and row 1.
_m10 Matrix2d _m10(double m10): Set the value of the matrix element at column 1 and row 0.
_m11 Matrix2d _m11(double m11): Set the value of the matrix element at column 1 and row 1.
add Matrix2d add(Matrix2d other): Component-wise add <code>this</code> and <code>other</code>.
add Matrix2d add(Matrix2d other, Matrix2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
determinant double determinant(): Undocumented in source. Be warned that the author may not have intended to support it.
equals bool equals(Matrix2d m, double delta): Undocumented in source. Be warned that the author may not have intended to support it.
get Matrix2d get(Matrix2d 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(Matrix2d)} and allows to obtain intermediate calculation results when chaining multiple transformations.
get Matrix3x2d get(Matrix3x2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
get Matrix3d get(Matrix3d dest): 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.
getColumn Vector2d getColumn(int column, Vector2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
getRotation double getRotation(): Undocumented in source. Be warned that the author may not have intended to support it.
getRow Vector2d getRow(int row, Vector2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
getScale Vector2d getScale(Vector2d 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 Matrix2d identity(): Set this matrix to the identity.
invert Matrix2d invert(): Invert this matrix.
invert Matrix2d invert(Matrix2d 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 Matrix2d lerp(Matrix2d 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>.
lerp Matrix2d lerp(Matrix2d other, double t, Matrix2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mul Matrix2d mul(Matrix2d right): Multiply this matrix by the supplied <code>right</code> matrix. <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 Matrix2d mul(Matrix2d right, Matrix2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mulComponentWise Matrix2d mulComponentWise(Matrix2d other): Component-wise multiply <code>this</code> by <code>other</code>.
mulComponentWise Matrix2d mulComponentWise(Matrix2d other, Matrix2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
mulLocal Matrix2d mulLocal(Matrix2d 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 Matrix2d mulLocal(Matrix2d left, Matrix2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
normal Matrix2d normal(): Set <code>this</code> matrix to its own normal matrix. <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(Matrix2d)} to set a given Matrix2d to this matrix.
normal Matrix2d normal(Matrix2d dest): Compute a normal matrix from <code>this</code> matrix and store it into <code>dest</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(Matrix2d)} to set a given Matrix2d to this matrix.
normalizedPositiveX Vector2d normalizedPositiveX(Vector2d dir): Undocumented in source. Be warned that the author may not have intended to support it.
normalizedPositiveY Vector2d normalizedPositiveY(Vector2d dir): Undocumented in source. Be warned that the author may not have intended to support it.
positiveX Vector2d positiveX(Vector2d dir): Undocumented in source. Be warned that the author may not have intended to support it.
positiveY Vector2d positiveY(Vector2d dir): Undocumented in source. Be warned that the author may not have intended to support it.
rotate Matrix2d rotate(double angle): Apply rotation about the origin to this matrix by rotating the given amount of radians. <p> The produced rotation will rotate a vector counter-clockwise around the origin. <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="https://en.wikipedia.org/wiki/Rotation_matrix#In_two_dimensions">http://en.wikipedia.org</a>
rotate Matrix2d rotate(double angle, Matrix2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
rotateLocal Matrix2d rotateLocal(double angle): Pre-multiply a rotation to this matrix by rotating the given amount of radians about the origin. <p> The produced rotation will rotate a vector counter-clockwise around the origin. <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) rotation()}. <p> Reference: <a href="https://en.wikipedia.org/wiki/Rotation_matrix#In_two_dimensions">http://en.wikipedia.org</a>
rotateLocal Matrix2d rotateLocal(double angle, Matrix2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
rotation Matrix2d rotation(double angle): Set this matrix to a rotation matrix which rotates the given radians about the origin. <p> The produced rotation will rotate a vector counter-clockwise around the origin. <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) rotate()} instead.
scale Matrix2d scale(Vector2d xy, Matrix2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
scale Matrix2d scale(Vector2d xy): Apply scaling to this matrix by scaling the base axes by the given <code>xy.x</code> and <code>xy.y</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 Matrix2d scale(double x, double y, Matrix2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
scale Matrix2d scale(double x, double y): Apply scaling to this matrix by scaling the base axes by the given x and y 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 Matrix2d scale(double xy, Matrix2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
scale Matrix2d scale(double xy): Apply scaling to this matrix by uniformly scaling all base axes by the given <code>xy</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!
scaleLocal Matrix2d scaleLocal(double x, double y, Matrix2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
scaleLocal Matrix2d scaleLocal(double x, double y): Pre-multiply scaling to this matrix by scaling the base axes by the given x and y 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!
scaling Matrix2d 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.
scaling Matrix2d scaling(double x, double y): Set this matrix to be a simple scale matrix.
scaling Matrix2d scaling(Vector2d xy): Set this matrix to be a simple scale matrix which scales the base axes by <code>xy.x</code> and <code>xy.y</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(Vector2d) scale()} instead.
set Matrix2d set(Matrix2d m): Set the elements of this matrix to the ones in <code>m</code>.
set Matrix2d set(Matrix3x2d m): Set the elements of this matrix to the left 2x2 submatrix of <code>m</code>.
set Matrix2d set(Matrix3d m): Set the elements of this matrix to the upper left 2x2 of the given {@link Matrix3d}.
set Matrix2d set(double m00, double m01, double m10, double m11): Set the values within this matrix to the supplied double values. The result looks like this: <p> m00, m10<br> m01, m11<br>
set Matrix2d set(Vector2d col0, Vector2d col1): Set the two columns of this matrix to the supplied vectors, respectively.
set Matrix2d set(int column, int row, double value): Set the matrix element at the given column and row to the specified value.
setColumn Matrix2d setColumn(int column, Vector2d src): Set the column at the given <code>column</code> index, starting with <code>0</code>.
setColumn Matrix2d setColumn(int column, double x, double y): Set the column at the given <code>column</code> index, starting with <code>0</code>.
setRow Matrix2d setRow(int row, Vector2d src): Set the row at the given <code>row</code> index, starting with <code>0</code>.
setRow Matrix2d setRow(int row, double x, double y): Set the row at the given <code>row</code> index, starting with <code>0</code>.
setm00 Matrix2d setm00(double m00): Set the value of the matrix element at column 0 and row 0.
setm01 Matrix2d setm01(double m01): Set the value of the matrix element at column 0 and row 1.
setm10 Matrix2d setm10(double m10): Set the value of the matrix element at column 1 and row 0.
setm11 Matrix2d setm11(double m11): Set the value of the matrix element at column 1 and row 1.
sub Matrix2d sub(Matrix2d subtrahend): Component-wise subtract <code>subtrahend</code> from <code>this</code>.
sub Matrix2d sub(Matrix2d other, Matrix2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
swap Matrix2d swap(Matrix2d other): Exchange the values of <code>this</code> matrix with the given <code>other</code> matrix.
transform Vector2d transform(Vector2d v): Undocumented in source. Be warned that the author may not have intended to support it.
transform Vector2d transform(Vector2d v, Vector2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
transform Vector2d transform(double x, double y, Vector2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
transformTranspose Vector2d transformTranspose(Vector2d v): Undocumented in source. Be warned that the author may not have intended to support it.
transformTranspose Vector2d transformTranspose(Vector2d v, Vector2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
transformTranspose Vector2d transformTranspose(double x, double y, Vector2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
transpose Matrix2d transpose(): Transpose this matrix.
transpose Matrix2d transpose(Matrix2d dest): Undocumented in source. Be warned that the author may not have intended to support it.
zero Matrix2d zero(): Set all values within this matrix to zero.

Variables

m00 double m00;: Undocumented in source.
m01 double m01;: Undocumented in source.
m10 double m10;: Undocumented in source.
m11 double m11;: Undocumented in source.

Meta

Source

See Implementation

matrix_2d structs

Matrix2d