Notation used in Ruby API documentation
Module: db
Description: A 3d matrix object used mainly for representing rotation, shear, displacement and perspective transformations (integer coordinate version).
This object represents a 3x3 matrix. This matrix is used to implement generic geometrical transformations in the 2d space mainly. It can be decomposed into basic transformations: mirroring, rotation, shear, displacement and perspective distortion. In that case, the assumed execution order of the basic transformations is mirroring at the x axis, rotation, magnification, shear, displacement and perspective distortion.
The integer variant was introduced in version 0.27.
new IMatrix3d ptr | new | Create a new Matrix3d representing a unit transformation | |
new IMatrix3d ptr | new | (double m) | Create a new Matrix3d representing a magnification |
new IMatrix3d ptr | new | (const ICplxTrans t) | Create a new Matrix3d from the given complex transformation@param t The transformation from which to create the matrix |
new IMatrix3d ptr | new | (double m11, double m12, double m21, double m22) | Create a new Matrix3d from the four coefficients of a Matrix2d |
new IMatrix3d ptr | new | (double m11, double m12, double m21, double m22, double dx, double dy) | Create a new Matrix3d from the four coefficients of a Matrix2d plus a displacement |
new IMatrix3d ptr | new | (double m11, double m12, double m13, double m21, double m22, double m23, double m31, double m32, double m33) | Create a new Matrix3d from the nine matrix coefficients |
[const] | IMatrix3d | * | (const IMatrix3d m) | Product of two matrices. |
[const] | Point | * | (const Point p) | Transforms a point with this matrix. |
[const] | Vector | * | (const Vector v) | Transforms a vector with this matrix. |
[const] | Edge | * | (const Edge e) | Transforms an edge with this matrix. |
[const] | Box | * | (const Box box) | Transforms a box with this matrix. |
[const] | SimplePolygon | * | (const SimplePolygon p) | Transforms a simple polygon with this matrix. |
[const] | Polygon | * | (const Polygon p) | Transforms a polygon with this matrix. |
[const] | IMatrix3d | + | (const IMatrix3d m) | Sum of two matrices. |
[const] | IMatrix3d ptr | _const_cast | Returns a non-const reference to self. | |
void | _create | Ensures the C++ object is created | ||
void | _destroy | Explicitly destroys the object | ||
[const] | bool | _destroyed? | Returns a value indicating whether the object was already destroyed | |
[const] | bool | _is_const_object? | Returns a value indicating whether the reference is a const reference | |
void | _manage | Marks the object as managed by the script side. | ||
void | _unmanage | Marks the object as no longer owned by the script side. | ||
[const] | double | angle | Returns the rotation angle of the rotation component of this matrix. | |
void | assign | (const IMatrix3d other) | Assigns another object to self | |
[const] | DCplxTrans | cplx_trans | Converts this matrix to a complex transformation (if possible). | |
[const] | Vector | disp | Returns the displacement vector of this transformation. | |
[const] | new IMatrix3d ptr | dup | Creates a copy of self | |
[const] | IMatrix3d | inverted | The inverse of this matrix. | |
[const] | bool | is_mirror? | Returns the mirror flag of this matrix. | |
[const] | double | m | (int i, int j) | Gets the m coefficient with the given index. |
[const] | double | mag_x | Returns the x magnification of the magnification component of this matrix. | |
[const] | double | mag_y | Returns the y magnification of the magnification component of this matrix. | |
[const] | double | shear_angle | Returns the magnitude of the shear component of this matrix. | |
[const] | string | to_s | Convert the matrix to a string. | |
[const] | Point | trans | (const Point p) | Transforms a point with this matrix. |
[const] | double | tx | (double z) | Returns the perspective tilt angle tx. |
[const] | double | ty | (double z) | Returns the perspective tilt angle ty. |
new IMatrix3d ptr | newc | (double mag, double rotation, bool mirrx) | Create a new Matrix3d representing a isotropic magnification, rotation and mirroring | |
new IMatrix3d ptr | newc | (double shear, double mx, double my, double rotation, bool mirrx) | Create a new Matrix3d representing a shear, anisotropic magnification, rotation and mirroring | |
new IMatrix3d ptr | newc | (const Vector u, double shear, double mx, double my, double rotation, bool mirrx) | Create a new Matrix3d representing a displacement, shear, anisotropic magnification, rotation and mirroring | |
new IMatrix3d ptr | newc | (double tx, double ty, double z, const Vector u, double shear, double mx, double my, double rotation, bool mirrx) | Create a new Matrix3d representing a perspective distortion, displacement, shear, anisotropic magnification, rotation and mirroring |
void | create | Use of this method is deprecated. Use _create instead | ||
void | destroy | Use of this method is deprecated. Use _destroy instead | ||
[const] | bool | destroyed? | Use of this method is deprecated. Use _destroyed? instead | |
[const] | bool | is_const_object? | Use of this method is deprecated. Use _is_const_object? instead |
* | (1) Signature: [const] IMatrix3d * (const IMatrix3d m) Description: Product of two matrices.
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(2) Signature: [const] Point * (const Point p) Description: Transforms a point with this matrix.
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(3) Signature: [const] Vector * (const Vector v) Description: Transforms a vector with this matrix.
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(4) Signature: [const] Edge * (const Edge e) Description: Transforms an edge with this matrix.
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(5) Signature: [const] Box * (const Box box) Description: Transforms a box with this matrix.
Please note that the box remains a box, even though the matrix supports shear and rotation. The returned box will be the bounding box of the sheared and rotated rectangle. Python specific notes: | ||||||||||||||||||
(6) Signature: [const] SimplePolygon * (const SimplePolygon p) Description: Transforms a simple polygon with this matrix.
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(7) Signature: [const] Polygon * (const Polygon p) Description: Transforms a polygon with this matrix.
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+ | Signature: [const] IMatrix3d + (const IMatrix3d m) Description: Sum of two matrices.
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_const_cast | Signature: [const] IMatrix3d ptr _const_cast Description: Returns a non-const reference to self. Basically, this method allows turning a const object reference to a non-const one. This method is provided as last resort to remove the constness from an object. Usually there is a good reason for a const object reference, so using this method may have undesired side effects. This method has been introduced in version 0.29.6. | |||||||||||||||||
_create | Signature: void _create Description: Ensures the C++ object is created Use this method to ensure the C++ object is created, for example to ensure that resources are allocated. Usually C++ objects are created on demand and not necessarily when the script object is created. | |||||||||||||||||
_destroy | Signature: void _destroy Description: Explicitly destroys the object Explicitly destroys the object on C++ side if it was owned by the script interpreter. Subsequent access to this object will throw an exception. If the object is not owned by the script, this method will do nothing. | |||||||||||||||||
_destroyed? | Signature: [const] bool _destroyed? Description: Returns a value indicating whether the object was already destroyed This method returns true, if the object was destroyed, either explicitly or by the C++ side. The latter may happen, if the object is owned by a C++ object which got destroyed itself. | |||||||||||||||||
_is_const_object? | Signature: [const] bool _is_const_object? Description: Returns a value indicating whether the reference is a const reference This method returns true, if self is a const reference. In that case, only const methods may be called on self. | |||||||||||||||||
_manage | Signature: void _manage Description: Marks the object as managed by the script side. After calling this method on an object, the script side will be responsible for the management of the object. This method may be called if an object is returned from a C++ function and the object is known not to be owned by any C++ instance. If necessary, the script side may delete the object if the script's reference is no longer required. Usually it's not required to call this method. It has been introduced in version 0.24. | |||||||||||||||||
_unmanage | Signature: void _unmanage Description: Marks the object as no longer owned by the script side. Calling this method will make this object no longer owned by the script's memory management. Instead, the object must be managed in some other way. Usually this method may be called if it is known that some C++ object holds and manages this object. Technically speaking, this method will turn the script's reference into a weak reference. After the script engine decides to delete the reference, the object itself will still exist. If the object is not managed otherwise, memory leaks will occur. Usually it's not required to call this method. It has been introduced in version 0.24. | |||||||||||||||||
angle | Signature: [const] double angle Description: Returns the rotation angle of the rotation component of this matrix.
See the description of this class for details about the basic transformations. | |||||||||||||||||
assign | Signature: void assign (const IMatrix3d other) Description: Assigns another object to self | |||||||||||||||||
cplx_trans | Signature: [const] DCplxTrans cplx_trans Description: Converts this matrix to a complex transformation (if possible).
This method is successful only if the matrix does not contain shear or perspective distortion components and the magnification must be isotropic. | |||||||||||||||||
create | Signature: void create Description: Ensures the C++ object is created Use of this method is deprecated. Use _create instead Use this method to ensure the C++ object is created, for example to ensure that resources are allocated. Usually C++ objects are created on demand and not necessarily when the script object is created. | |||||||||||||||||
destroy | Signature: void destroy Description: Explicitly destroys the object Use of this method is deprecated. Use _destroy instead Explicitly destroys the object on C++ side if it was owned by the script interpreter. Subsequent access to this object will throw an exception. If the object is not owned by the script, this method will do nothing. | |||||||||||||||||
destroyed? | Signature: [const] bool destroyed? Description: Returns a value indicating whether the object was already destroyed Use of this method is deprecated. Use _destroyed? instead This method returns true, if the object was destroyed, either explicitly or by the C++ side. The latter may happen, if the object is owned by a C++ object which got destroyed itself. | |||||||||||||||||
disp | Signature: [const] Vector disp Description: Returns the displacement vector of this transformation.
Starting with version 0.25 this method returns a vector type instead of a point. | |||||||||||||||||
dup | Signature: [const] new IMatrix3d ptr dup Description: Creates a copy of self Python specific notes: | |||||||||||||||||
inverted | Signature: [const] IMatrix3d inverted Description: The inverse of this matrix.
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is_const_object? | Signature: [const] bool is_const_object? Description: Returns a value indicating whether the reference is a const reference Use of this method is deprecated. Use _is_const_object? instead This method returns true, if self is a const reference. In that case, only const methods may be called on self. | |||||||||||||||||
is_mirror? | Signature: [const] bool is_mirror? Description: Returns the mirror flag of this matrix.
See the description of this class for details about the basic transformations. | |||||||||||||||||
m | Signature: [const] double m (int i, int j) Description: Gets the m coefficient with the given index.
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mag_x | Signature: [const] double mag_x Description: Returns the x magnification of the magnification component of this matrix.
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mag_y | Signature: [const] double mag_y Description: Returns the y magnification of the magnification component of this matrix.
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new | (1) Signature: [static] new IMatrix3d ptr new Description: Create a new Matrix3d representing a unit transformation Python specific notes: | |||||||||||||||||
(2) Signature: [static] new IMatrix3d ptr new (double m) Description: Create a new Matrix3d representing a magnification
Python specific notes: | ||||||||||||||||||
(3) Signature: [static] new IMatrix3d ptr new (const ICplxTrans t) Description: Create a new Matrix3d from the given complex transformation@param t The transformation from which to create the matrix Python specific notes: | ||||||||||||||||||
(4) Signature: [static] new IMatrix3d ptr new (double m11, double m12, double m21, double m22) Description: Create a new Matrix3d from the four coefficients of a Matrix2d Python specific notes: | ||||||||||||||||||
(5) Signature: [static] new IMatrix3d ptr new (double m11, double m12, double m21, double m22, double dx, double dy) Description: Create a new Matrix3d from the four coefficients of a Matrix2d plus a displacement Python specific notes: | ||||||||||||||||||
(6) Signature: [static] new IMatrix3d ptr new (double m11, double m12, double m13, double m21, double m22, double m23, double m31, double m32, double m33) Description: Create a new Matrix3d from the nine matrix coefficients Python specific notes: | ||||||||||||||||||
newc | (1) Signature: [static] new IMatrix3d ptr newc (double mag, double rotation, bool mirrx) Description: Create a new Matrix3d representing a isotropic magnification, rotation and mirroring
The order of execution of the operations is mirror, magnification and rotation. This constructor is called 'newc' to distinguish it from the constructors taking coefficients ('c' is for composite). | |||||||||||||||||
(2) Signature: [static] new IMatrix3d ptr newc (double shear, double mx, double my, double rotation, bool mirrx) Description: Create a new Matrix3d representing a shear, anisotropic magnification, rotation and mirroring
The order of execution of the operations is mirror, magnification, rotation and shear. This constructor is called 'newc' to distinguish it from the constructor taking the four matrix coefficients ('c' is for composite). | ||||||||||||||||||
(3) Signature: [static] new IMatrix3d ptr newc (const Vector u, double shear, double mx, double my, double rotation, bool mirrx) Description: Create a new Matrix3d representing a displacement, shear, anisotropic magnification, rotation and mirroring
The order of execution of the operations is mirror, magnification, rotation, shear and displacement. This constructor is called 'newc' to distinguish it from the constructor taking the four matrix coefficients ('c' is for composite). Starting with version 0.25 the displacement is of vector type. | ||||||||||||||||||
(4) Signature: [static] new IMatrix3d ptr newc (double tx, double ty, double z, const Vector u, double shear, double mx, double my, double rotation, bool mirrx) Description: Create a new Matrix3d representing a perspective distortion, displacement, shear, anisotropic magnification, rotation and mirroring
The order of execution of the operations is mirror, magnification, rotation, shear, perspective distortion and displacement. This constructor is called 'newc' to distinguish it from the constructor taking the four matrix coefficients ('c' is for composite). The tx and ty parameters represent the perspective distortion. They denote a tilt of the xy plane around the y axis (tx) or the x axis (ty) in degree. The same effect is achieved for different tilt angles for different observer distances. Hence, the observer distance must be given at which the tilt angles are given. If the magnitude of the tilt angle is not important, z can be set to 1. Starting with version 0.25 the displacement is of vector type. | ||||||||||||||||||
shear_angle | Signature: [const] double shear_angle Description: Returns the magnitude of the shear component of this matrix.
The shear basic transformation will tilt the x axis towards the y axis and vice versa. The shear angle gives the tilt angle of the axes towards the other one. The possible range for this angle is -45 to 45 degree.See the description of this class for details about the basic transformations. | |||||||||||||||||
to_s | Signature: [const] string to_s Description: Convert the matrix to a string.
Python specific notes: | |||||||||||||||||
trans | Signature: [const] Point trans (const Point p) Description: Transforms a point with this matrix.
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tx | Signature: [const] double tx (double z) Description: Returns the perspective tilt angle tx.
The tx and ty parameters represent the perspective distortion. They denote a tilt of the xy plane around the y axis (tx) or the x axis (ty) in degree. The same effect is achieved for different tilt angles at different observer distances. Hence, the observer distance must be specified at which the tilt angle is computed. If the magnitude of the tilt angle is not important, z can be set to 1. | |||||||||||||||||
ty | Signature: [const] double ty (double z) Description: Returns the perspective tilt angle ty.
The tx and ty parameters represent the perspective distortion. They denote a tilt of the xy plane around the y axis (tx) or the x axis (ty) in degree. The same effect is achieved for different tilt angles at different observer distances. Hence, the observer distance must be specified at which the tilt angle is computed. If the magnitude of the tilt angle is not important, z can be set to 1. |