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LSST Data Management Base Package
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MatrixMap is a form of Mapping which performs a general linear transformation. More...
#include <MatrixMap.h>
Public Types | |
using | ObjectPtr = std::unique_ptr<AstObject, Deleter> |
unique pointer holding an AST raw pointer | |
Public Member Functions | |
MatrixMap (ConstArray2D const &matrix, std::string const &options="") | |
Construct a MatrixMap from a 2-d matrix. | |
MatrixMap (std::vector< double > const &diag, std::string const &options="") | |
Construct a MatrixMap from a 1-d vector of diagonal elements of a diagonal matrix. | |
virtual | ~MatrixMap () |
MatrixMap (MatrixMap const &)=default | |
Copy constructor: make a deep copy. | |
MatrixMap (MatrixMap &&)=default | |
MatrixMap & | operator= (MatrixMap const &)=delete |
MatrixMap & | operator= (MatrixMap &&)=default |
std::shared_ptr< MatrixMap > | copy () const |
Return a deep copy of this object. | |
int | getNIn () const |
Get NIn: the number of input axes. | |
int | getNOut () const |
Get NOut: the number of output axes. | |
bool | getIsSimple () const |
Get IsSimple: has the mapping been simplified? | |
bool | isInverted () const |
Is this an inverted mapping? | |
bool | getIsLinear () const |
Get IsLinear: is the Mapping linear? | |
bool | getReport () const |
Get Report: report transformed coordinates to stdout? | |
bool | hasForward () const |
Is the forward transform available? | |
bool | hasInverse () const |
Is the inverse transform available? | |
std::shared_ptr< Mapping > | inverted () const |
Get an inverse mapping. | |
Array2D | linearApprox (PointD const &lbnd, PointD const &ubnd, double tol) const |
Compute a linear approximation to the forward transformation. | |
SeriesMap | then (Mapping const &next) const |
Return a series compound mapping this(first(input)) containing shallow copies of the original. | |
ParallelMap | under (Mapping const &next) const |
Return a parallel compound mapping containing shallow copies of the original. | |
double | rate (PointD const &at, int ax1, int ax2) const |
Evaluate the rate of change of the Mapping with respect to a specified input, at a specified position. | |
void | setReport (bool report) |
Set Report: report transformed coordinates to stdout? | |
std::shared_ptr< Mapping > | simplified () const |
Return a simplied version of the mapping (which may be a compound Mapping such as a CmpMap). | |
void | applyForward (ConstArray2D const &from, Array2D const &to) const |
Perform a forward transformation on 2-D array, putting the results into a pre-allocated 2-D array. | |
Array2D | applyForward (ConstArray2D const &from) const |
Perform a forward transformation on a 2-D array, returning the results as a new array. | |
std::vector< double > | applyForward (std::vector< double > const &from) const |
Perform a forward transformation on a vector, returning the results as a new vector. | |
void | applyInverse (ConstArray2D const &from, Array2D const &to) const |
Perform an inverse transformation on a 2-D array, putting the results into a pre-allocated 2-D array. | |
Array2D | applyInverse (ConstArray2D const &from) const |
Perform an inverse transformation on a 2-D array, returning the results as a new 2-D array. | |
std::vector< double > | applyInverse (std::vector< double > const &from) const |
Perform an inverse transformation on a vector, returning the results as a new vector. | |
void | tranGridForward (PointI const &lbnd, PointI const &ubnd, double tol, int maxpix, Array2D const &to) const |
Transform a grid of points in the forward direction. | |
Array2D | tranGridForward (PointI const &lbnd, PointI const &ubnd, double tol, int maxpix, int nPts) const |
Transform a grid of points in the inverse direction, returning the results as a new Array2D. | |
void | tranGridInverse (PointI const &lbnd, PointI const &ubnd, double tol, int maxpix, Array2D const &to) const |
Transform a grid of points in the inverse direction. | |
Array2D | tranGridInverse (PointI const &lbnd, PointI const &ubnd, double tol, int maxpix, int nPts) const |
Transform a grid of points in the inverse direction. | |
bool | operator== (Object const &rhs) const |
Return True if this and rhs are the equal. | |
bool | operator!= (Object const &rhs) const |
Return True if this and rhs are not equal. | |
void | clear (std::string const &attrib) |
Clear the values of a specified set of attributes for an Object. | |
bool | hasAttribute (std::string const &attrib) const |
Does this object have an attribute with the specified name? | |
std::string | getClassName () const |
Get Class: the name of the class (e.g. | |
std::string | getID () const |
Get ID: object identification string that is not copied. | |
std::string | getIdent () const |
Get Ident: object identification string that is copied. | |
int | getNObject () const |
Get NObject: number of AST objects in existence of the same type as the underlying AST class. | |
int | getObjSize () const |
Get ObjSize: the in-memory size of the AST object in bytes. | |
int | getRefCount () const |
Get RefCount: number of active pointers to the underlying AST object. | |
bool | getUseDefs () const |
Get UseDefs: allow use of default values for Object attributes? | |
void | lock (bool wait) |
Lock this object for exclusive use by the calling thread. | |
bool | same (Object const &other) const |
Does this contain the same AST object as another? | |
void | setID (std::string const &id) |
Set ID: object identification string that is not copied. | |
void | setIdent (std::string const &ident) |
Set Ident: object identification string that is copied. | |
void | setUseDefs (bool usedefs) |
Set UseDefs: allow use of default values for Object attributes? | |
void | show (std::ostream &os, bool showComments=true) const |
Print a textual description the object to an ostream. | |
std::string | show (bool showComments=true) const |
Return a textual description the object as a string. | |
bool | test (std::string const &attrib) const |
Has this attribute been explicitly set (and not subsequently cleared)? | |
void | unlock (bool report=false) |
Unlock this object previously locked using lock, so that other threads can use this object. | |
AstObject const * | getRawPtr () const |
Get the raw AST pointer. | |
AstObject * | getRawPtr () |
Get the raw AST pointer. | |
Static Public Member Functions | |
static std::shared_ptr< Object > | fromString (std::string const &str) |
Construct an Object from a string, using astFromString. | |
template<typename Class > | |
static std::shared_ptr< Class > | fromAstObject (AstObject *rawObj, bool copy) |
Given a bare AST object pointer return a shared pointer to an ast::Object of the correct type. | |
Protected Member Functions | |
virtual std::shared_ptr< Object > | copyPolymorphic () const override |
Return a deep copy of this object. | |
MatrixMap (AstMatrixMap *rawptr) | |
Construct a MatrixMap from a raw AST pointer. | |
template<typename Class > | |
std::shared_ptr< Class > | decompose (int i, bool copy) const |
Return a deep copy of one of the two component mappings. | |
template<typename T , typename AstT > | |
std::shared_ptr< T > | copyImpl () const |
Implementation of deep copy. | |
bool | getB (std::string const &attrib) const |
Get the value of an attribute as a bool. | |
std::string const | getC (std::string const &attrib) const |
Get the value of an attribute as a string. | |
double | getD (std::string const &attrib) const |
Get the value of an attribute as a double. | |
float | getF (std::string const &attrib) const |
Get the value of an attribute as a float. | |
int | getI (std::string const &attrib) const |
Get the value of an attribute as an int. | |
long int | getL (std::string const &attrib) const |
Get the value of an attribute as a long int. | |
void | set (std::string const &setting) |
Assign a set of attribute values, over-riding any previous values. | |
void | setB (std::string const &attrib, bool value) |
Set the value of an attribute as a bool. | |
void | setC (std::string const &attrib, std::string const &value) |
Set the value of an attribute as a string. | |
void | setD (std::string const &attrib, double value) |
Set the value of an attribute as a double. | |
void | setF (std::string const &attrib, float value) |
Set the value of an attribute as a float. | |
void | setI (std::string const &attrib, int value) |
Set the value of an attribute as an int. | |
void | setL (std::string const &attrib, long int value) |
Set the value of an attribute as a long int. | |
Static Protected Member Functions | |
template<typename ShimT , typename AstT > | |
static std::shared_ptr< ShimT > | makeShim (AstObject *p) |
Functor to make an astshim instance from a raw AST pointer of the corresponding type. | |
Friends | |
class | Object |
MatrixMap is a form of Mapping which performs a general linear transformation.
Each set of input coordinates, regarded as a column-vector, are pre-multiplied by a matrix (whose elements are specified when the MatrixMap is created) to give a new column-vector containing the output coordinates. If appropriate, the inverse transformation may also be performed.
Definition at line 42 of file MatrixMap.h.
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inherited |
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inlineexplicit |
Construct a MatrixMap from a 2-d matrix.
matrix
is square and non-singular.[in] | matrix | The transformation matrix, where:
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[in] | options | Comma-separated list of attribute assignments. |
Definition at line 56 of file MatrixMap.h.
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inlineexplicit |
Construct a MatrixMap from a 1-d vector of diagonal elements of a diagonal matrix.
[in] | diag | The diagonal elements of a diagonal matrix as a vector; the number of input and output coordinates is the length of the vector. |
[in] | options | Comma-separated list of attribute assignments. |
Definition at line 73 of file MatrixMap.h.
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inlinevirtual |
Definition at line 80 of file MatrixMap.h.
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default |
Copy constructor: make a deep copy.
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default |
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inlineexplicitprotected |
Construct a MatrixMap from a raw AST pointer.
Definition at line 97 of file MatrixMap.h.
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inlineinherited |
Perform a forward transformation on a 2-D array, returning the results as a new array.
[in] | from | input coordinates, with dimensions (nPts, nIn) |
Definition at line 268 of file Mapping.h.
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inlineinherited |
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inlineinherited |
Perform a forward transformation on a vector, returning the results as a new vector.
[in] | from | input coordinates as a vector, with axes adjacent, e.g. x0, y0, x1, y1...xn, yn |
Definition at line 280 of file Mapping.h.
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inlineinherited |
Perform an inverse transformation on a 2-D array, returning the results as a new 2-D array.
[in] | from | output coordinates, with dimensions (nPts, nOut) |
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inlineinherited |
Perform an inverse transformation on a 2-D array, putting the results into a pre-allocated 2-D array.
[in] | from | input coordinates, with dimensions (nPts, nOut) |
[out] | to | transformed coordinates, with dimensions (nPts, nIn) |
Definition at line 294 of file Mapping.h.
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inlineinherited |
Perform an inverse transformation on a vector, returning the results as a new vector.
[in] | from | input coordinates as a vector, with axes adjacent, e.g. x0, y0, x1, y1...xn, yn |
Definition at line 314 of file Mapping.h.
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inlineinherited |
Clear the values of a specified set of attributes for an Object.
Clearing an attribute cancels any value that has previously been explicitly set for it, so that the standard default attribute value will subsequently be used instead. This also causes the astTest function to return the value zero for the attribute, indicating that no value has been set.
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inline |
Return a deep copy of this object.
Definition at line 89 of file MatrixMap.h.
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inlineprotectedinherited |
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inlineoverrideprotectedvirtual |
Return a deep copy of this object.
This is called by copy.
Each subclass must override this method. The standard implementation is:
for example Frame implements this as:
Reimplemented from ast::Mapping.
Definition at line 92 of file MatrixMap.h.
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protectedinherited |
Return a deep copy of one of the two component mappings.
This is intended to be exposed by classes that need it (e.g. CmpMap, CmpFrame and TranMap) as operator[]
.
[in] | i | Index: 0 for the first mapping, 1 for the second |
[in] | copy | If true make a deep copy, else a shallow copy |
std::invalid_argument | if i is not 0 or 1. |
std::runtime_error | if this mapping is not a compound mapping. |
Definition at line 64 of file Mapping.cc.
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staticinherited |
Given a bare AST object pointer return a shared pointer to an ast::Object of the correct type.
The returned object takes ownership of the pointer. This is almost always what you want, for instance astDecompose returns shallow copies of the internal pointers.
Class | The class of the returned shared pointer. (The actual class will be the correct class of rawPtr.) |
[in] | rawObj | A bare AST object pointer |
[in] | copy | If True then make a deep copy of the pointer (and free the original) |
Definition at line 138 of file Object.cc.
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inlinestaticinherited |
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inlineprotectedinherited |
Get the value of an attribute as a bool.
If possible, the attribute value is converted to the type you request.
std::runtime_error | if the attribute does not exist or the value cannot be converted |
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inlineprotectedinherited |
Get the value of an attribute as a string.
If possible, the attribute value is converted to the type you request.
std::runtime_error | if the attribute does not exist or the value cannot be converted |
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inlineinherited |
Get Class: the name of the class (e.g.
Note: if AST returns "CmpMap" then the name will be changed to "SeriesMap" or "ParallelMap", as appropriate.
Definition at line 139 of file Object.h.
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inlineprotectedinherited |
Get the value of an attribute as a double.
If possible, the attribute value is converted to the type you request.
std::runtime_error | if the attribute does not exist or the value cannot be converted |
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inlineprotectedinherited |
Get the value of an attribute as a float.
If possible, the attribute value is converted to the type you request.
std::runtime_error | if the attribute does not exist or the value cannot be converted |
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protectedinherited |
Get the value of an attribute as an int.
If possible, the attribute value is converted to the type you request.
std::runtime_error | if the attribute does not exist or the value cannot be converted |
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inlineinherited |
Get ID: object identification string that is not copied.
Definition at line 142 of file Object.h.
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inlineinherited |
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inlineinherited |
Get IsLinear: is the Mapping linear?
Definition at line 100 of file Mapping.h.
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inlineinherited |
Get IsSimple: has the mapping been simplified?
Definition at line 87 of file Mapping.h.
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inlineprotectedinherited |
Get the value of an attribute as a long int.
If possible, the attribute value is converted to the type you request.
std::runtime_error | if the attribute does not exist or the value cannot be converted |
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inlineinherited |
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inlineinherited |
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inlineinherited |
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inlineinherited |
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inlineinherited |
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inlineinherited |
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inlineinherited |
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inlineinherited |
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inlineinherited |
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inlineinherited |
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inlineinherited |
Is the forward transform available?
hasForward
instead of getTranForward
for clarity, since it does not return a transform. Definition at line 114 of file Mapping.h.
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inlineinherited |
Is the inverse transform available?
hasInverse
instead of getTranInverse
for clarity, since it does not return a transform. Definition at line 123 of file Mapping.h.
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inherited |
Get an inverse mapping.
An inverse mapping is a deep copy of a mapping whose Invert attribute has been toggled, as indicated by isInverted. This swaps the meaning of "input" and "output", and of "forward" and "inverse". Thus it swaps the behavior of applyForward and applyInverse, getNIn and getNOut, hasForward and hasInverse and so on.
Note that the inverse mapping contains exactly the same model coefficients as the original, but they are used by applyInverse instead of applyForward. Thus for example if a ZoomMap has a zoom factor of 4.0 then its inverse also reports a zoom factor of 4.0 (despite behaving like an uninverted ZoomMap with zoom factor of 0.25).
Definition at line 41 of file Mapping.cc.
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inlineinherited |
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inherited |
Compute a linear approximation to the forward transformation.
[in] | lbnd | Input point defining the lower bounds of the box over which the linear approximation is computed. |
[in] | ubnd | Input point defining the upper bounds of the box over which the linear approximation is computed. |
[in] | tol | The maximum permitted deviation from linearity, expressed as apositive Cartesian displacement in the output coordinate space. If a linear fit to the forward transformation of the Mapping deviates from the true transformation by more than this amount at any point which is tested, then raise an exception. |
X_out = fit[0, 0] + fit[1, 0] X_in + fit[2, 0] Y_in Y_out = fit[0, 1] + fit[1, 1] X_in + fit[2, 1] Y_in Z_out = fit[0, 2] + fit[1, 2] X_in + fit[2, 2] Y_in
std::runtime_error | if the forward transformation cannot be modeled to within the specified tol . |
Definition at line 49 of file Mapping.cc.
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inlineinherited |
Lock this object for exclusive use by the calling thread.
The thread-safe public interface to AST is designed so that an error is reported if any thread attempts to use an Object that it has not previously locked for its own exclusive use using this function. When an Object is created, it is initially locked by the thread that creates it, so newly created objects do not need to be explicitly locked. However, if an Object pointer is passed to another thread, the original thread must first unlock it (using astUnlock) and the new thread must then lock it (using astLock) before the new thread can use the Object.
[in] | wait | If the Object is curently locked by another thread then this function will either report an error or block. If a non-zero value is supplied for "wait", the calling thread waits until the object is available for it to use. Otherwise, an error is reported and the function returns immediately without locking the Object. |
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inlinestaticprotectedinherited |
Functor to make an astshim instance from a raw AST pointer of the corresponding type.
ShimT | Output astshim class |
AstT | Output AST class |
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inlineinherited |
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inherited |
Return True if this and rhs
are the equal.
For two objects be equal, they both must have the same attributes and all contained objects must be equal.
Definition at line 85 of file Object.cc.
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inlineinherited |
Evaluate the rate of change of the Mapping with respect to a specified input, at a specified position.
The result is estimated by interpolating the function using a fourth order polynomial in the neighbourhood of the specified position. The size of the neighbourhood used is chosen to minimise the RMS residual per unit length between the interpolating polynomial and the supplied Mapping function. This method produces good accuracy but can involve evaluating the Mapping 100 or more times.
[in] | at | The input position at which the rate of change is to be evaluated. |
[in] | ax1 | The index of the output for which the rate of change is to be found (1 for first output). |
[in] | ax2 | The index of the input which is to be varied in order to find the rate of change (1 for the first input). |
ax1
with respect to input ax2
, evaluated at at
, or nan
if the value cannot be calculated.
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inlineinherited |
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inlineprotectedinherited |
Assign a set of attribute values, over-riding any previous values.
The attributes and their new values are specified via a character string, which should contain a comma-separated list of the form: "attribute_1 = value_1, attribute_2 = value_2, ... " where "attribute_n" specifies an attribute name, and the value to the right of each " =" sign should be a suitable textual representation of the value to be assigned. This value will be interpreted according to the attribute's data type.
std::runtime_error | if the attribute is read-only |
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inlineprotectedinherited |
Set the value of an attribute as a bool.
If possible, the type you provide is converted to the actual type of the attribute.
std::runtime_error | if the attribute does not exist or the value cannot be converted |
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inlineprotectedinherited |
Set the value of an attribute as a string.
If possible, the type you provide is converted to the actual type of the attribute.
std::runtime_error | if the attribute does not exist or the value cannot be converted |
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inlineprotectedinherited |
Set the value of an attribute as a double.
If possible, the type you provide is converted to the actual type of the attribute.
std::runtime_error | if the attribute does not exist or the value cannot be converted |
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inlineprotectedinherited |
Set the value of an attribute as a float.
If possible, the type you provide is converted to the actual type of the attribute.
std::runtime_error | if the attribute does not exist or the value cannot be converted |
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inlineprotectedinherited |
Set the value of an attribute as an int.
If possible, the type you provide is converted to the actual type of the attribute.
std::runtime_error | if the attribute does not exist or the value cannot be converted |
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inlineinherited |
Set ID: object identification string that is not copied.
Definition at line 215 of file Object.h.
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inlineinherited |
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inlineprotectedinherited |
Set the value of an attribute as a long int.
If possible, the type you provide is converted to the actual type of the attribute.
std::runtime_error | if the attribute does not exist or the value cannot be converted |
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inlineinherited |
Set Report: report transformed coordinates to stdout?
Definition at line 225 of file Mapping.h.
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inlineinherited |
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inherited |
Return a textual description the object as a string.
[in] | showComments | Show comments? |
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inherited |
Print a textual description the object to an ostream.
[in,out] | os | The stream to which to write the string representation. |
[in] | showComments | Show comments? |
Definition at line 158 of file Object.cc.
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inlineinherited |
Return a simplied version of the mapping (which may be a compound Mapping such as a CmpMap).
Simplification eliminates redundant computational steps and merges separate steps which can be performed more efficiently in a single operation. As a simple example, a Mapping which multiplied coordinates by 5, and then multiplied the result by 10, could be simplified to a single step which multiplied by 50. Similarly, a Mapping which multiplied by 5, and then divided by 5, could be reduced to a simple copying operation.
This function should typically be applied to Mappings which have undergone substantial processing or have been formed by merging other Mappings. It is of potential benefit, for example, in reducing execution time if applied before using a Mapping to transform a large number of coordinates.
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inlineinherited |
Has this attribute been explicitly set (and not subsequently cleared)?
false
.std::runtime_error | if an error results. |
Return a series compound mapping this(first(input)) containing shallow copies of the original.
[in] | next | the mapping whose input is the output of this mapping |
std::invalid_argument | if the number of input axes of next does not match the number of output axes of this mapping. |
Definition at line 37 of file Mapping.cc.
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inlineinherited |
Transform a grid of points in the forward direction.
[in] | lbnd | The coordinates of the centre of the first pixel in the input grid along each dimension, size = nIn |
[in] | ubnd | The coordinates of the centre of the last pixel in the input grid along each dimension, size = nIn |
[in] | tol | The maximum tolerable geometrical distortion which may be introduced as a result of approximating non-linear Mappings by a set of piece-wise linear transformations. This should be expressed as a displacement within the output coordinate system of the Mapping. |
If piece-wise linear approximation is not required, a value of zero may be given. This will ensure that the Mapping is used without any approximation, but may increase execution time.
If the value is too high, discontinuities between the linear approximations used in adjacent panel will be higher. If this is a problem, reduce the tolerance value used.
[in] | maxpix | A value which specifies an initial scale size (in input grid points) for the adaptive algorithm which approximates non-linear Mappings with piece-wise linear transformations. Normally, this should be a large value (larger than any dimension of the region of the input grid being used). In this case, a first attempt to approximate the Mapping by a linear transformation will be made over the entire input region. If a smaller value is used, the input region will first be divided into sub-regions whose size does not exceed " maxpix" grid points in any dimension. Only at this point will attempts at approximation commence. This value may occasionally be useful in preventing false convergence of the adaptive algorithm in cases where the Mapping appears approximately linear on large scales, but has irregularities (e.g. holes) on smaller scales. A value of, say, 50 to 100 grid points can also be employed as a safeguard in general-purpose software, since the effect on performance is minimal. If too small a value is given, it will have the effect of inhibiting linear approximation altogether (equivalent to setting " tol" to zero). Although this may degrade performance, accurate results will still be obtained. |
[in] | to | Computed points, with dimensions (nPts, nOut), where nPts the desired number of points |
Definition at line 358 of file Mapping.h.
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inlineinherited |
Transform a grid of points in the inverse direction, returning the results as a new Array2D.
See the overload of tranGridForward that outputs the data as the last argument for more information
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inherited |
Return a parallel compound mapping containing shallow copies of the original.
The resulting mapping has getNIn() + next.getNIn()
inputs and getNOut() + next.getNOut()
outputs. The first getNIn()
axes of input are transformed by this mapping, producing the first getNOut()
axes of output. The remaining axes of input are processed by next
, resulting in the remaining axes of output.
The name comes the way vectors are sometimes shown for matrix multiplication: vertically, with the first axis at the bottom and the last axis at the top.
[in] | next | the mapping that processes the final next.getNin() axes of input to produce the final next.getNout() axes of output. |
Definition at line 39 of file Mapping.cc.
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inlineinherited |
Unlock this object previously locked using lock, so that other threads can use this object.
See lock for further details.
[in] | report | If true, an error will be reported if the supplied Object, or any Object contained within the supplied Object, is not currently locked by the running thread. If false, such Objects will be left unchanged, and no error will be reported. |
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friend |
Definition at line 43 of file MatrixMap.h.