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Geant4.10
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Geant4.10
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Provides function composition (nesting)This allows evaluation of f(g(x)) where f and g are c2_function objects. More...
#include <c2_function.hh>
Public Member Functions | |
| c2_composed_function_p (const c2_function< float_type > &outer, const c2_function< float_type > &inner) | |
| construct outer( inner (x)) More... | |
| c2_composed_function_p () | |
| Create a stub just for the combiner to avoid statics. More... | |
 Public Member Functions inherited from c2_binary_function< float_type > | |
| virtual float_type | value_with_derivatives (float_type x, float_type *yprime, float_type *yprime2) const throw (c2_exception) |
| function to manage the binary operation, used by c2_binary_function::value_with_derivatives() More... | |
| virtual | ~c2_binary_function () |
| destructor releases ownership of member functions More... | |
| Public Member Functions inherited from c2_function< float_type > | |
| const std::string | cvs_header_vers () const |
| get versioning information for the header file More... | |
| const std::string | cvs_file_vers () const |
| get versioning information for the source file More... | |
| virtual | ~c2_function () |
| destructor More... | |
| float_type | operator() (float_type x) const throw (c2_exception) |
| evaluate the function in the classic way, ignoring derivatives. More... | |
| float_type | operator() (float_type x, float_type *yprime, float_type *yprime2) const throw (c2_exception) |
| get the value and derivatives. More... | |
| float_type | find_root (float_type lower_bracket, float_type upper_bracket, float_type start, float_type value, int *error=0, float_type *final_yprime=0, float_type *final_yprime2=0) const throw (c2_exception) |
| solve f(x)==value very efficiently, with explicit knowledge of derivatives of the function More... | |
| float_type | partial_integrals (std::vector< float_type > xgrid, std::vector< float_type > *partials=0, float_type abs_tol=1e-12, float_type rel_tol=1e-12, int derivs=2, bool adapt=true, bool extrapolate=true) const throw (c2_exception) |
| for points in xgrid, adaptively return Integral[f(x),{x,xgrid[i],xgrid[i+1]}] and return in vector, along with sum More... | |
| float_type | integral (float_type amin, float_type amax, std::vector< float_type > *partials=0, float_type abs_tol=1e-12, float_type rel_tol=1e-12, int derivs=2, bool adapt=true, bool extrapolate=true) const throw (c2_exception) |
| a fully-automated integrator which uses the information provided by the get_sampling_grid() function to figure out what to do. More... | |
| c2_piecewise_function_p < float_type > * | adaptively_sample (float_type amin, float_type amax, float_type abs_tol=1e-12, float_type rel_tol=1e-12, int derivs=2, std::vector< float_type > *xvals=0, std::vector< float_type > *yvals=0) const throw (c2_exception) |
| create a c2_piecewise_function_p from c2_connector_function_p segments which is a representation of the parent function to the specified accuracy, but maybe much cheaper to evaluate More... | |
| float_type | xmin () const |
| return the lower bound of the domain for this function as set by set_domain() More... | |
| float_type | xmax () const |
| return the upper bound of the domain for this function as set by set_domain() More... | |
| void | set_domain (float_type amin, float_type amax) |
| set the domain for this function. More... | |
| size_t | get_evaluations () const |
| this is a counter owned by the function but which can be used to monitor efficiency of algorithms. More... | |
| void | reset_evaluations () const |
| reset the counter More... | |
| void | increment_evaluations () const |
| count evaluations More... | |
| bool | check_monotonicity (const std::vector< float_type > &data, const char message[]) const throw (c2_exception) |
| check that a vector is monotonic, throw an exception if not, and return a flag if it is reversed More... | |
| virtual void | set_sampling_grid (const std::vector< float_type > &grid) throw (c2_exception) |
| establish a grid of 'interesting' points on the function. More... | |
| std::vector< float_type > * | get_sampling_grid_pointer () const |
| get the sampling grid, which may be a null pointer More... | |
| virtual void | get_sampling_grid (float_type amin, float_type amax, std::vector< float_type > &grid) const |
| return the grid of 'interesting' points along this function which lie in the region requested More... | |
| void | preen_sampling_grid (std::vector< float_type > *result) const |
| clean up endpoints on a grid of points More... | |
| void | refine_sampling_grid (std::vector< float_type > &grid, size_t refinement) const |
| refine a grid by splitting each interval into more intervals More... | |
| c2_function< float_type > & | normalized_function (float_type amin, float_type amax, float_type norm=1.0) const throw (c2_exception) |
| create a new c2_function from this one which is normalized on the interval More... | |
| c2_function< float_type > & | square_normalized_function (float_type amin, float_type amax, float_type norm=1.0) const throw (c2_exception) |
| create a new c2_function from this one which is square-normalized on the interval More... | |
| c2_function< float_type > & | square_normalized_function (float_type amin, float_type amax, const c2_function< float_type > &weight, float_type norm=1.0) const throw (c2_exception) |
| create a new c2_function from this one which is square-normalized with the provided weight on the interval More... | |
| c2_sum_p< float_type > & | operator+ (const c2_function< float_type > &rhs) const |
| factory function to create a c2_sum_p from a regular algebraic expression. More... | |
| c2_diff_p< float_type > & | operator- (const c2_function< float_type > &rhs) const |
| factory function to create a c2_diff_p from a regular algebraic expression. More... | |
| c2_product_p< float_type > & | operator* (const c2_function< float_type > &rhs) const |
| factory function to create a c2_product_p from a regular algebraic expression. More... | |
| c2_ratio_p< float_type > & | operator/ (const c2_function< float_type > &rhs) const |
| factory function to create a c2_ratio_p from a regular algebraic expression. More... | |
| c2_composed_function_p < float_type > & | operator() (const c2_function< float_type > &inner) const |
| compose this function outside another. More... | |
| float_type | get_trouble_point () const |
| Find out where a calculation ran into trouble, if it got a nan. If the most recent computation did not return a nan, this is undefined. More... | |
| void | claim_ownership () const |
| increment our reference count. Destruction is only legal if the count is zero. More... | |
| size_t | release_ownership_for_return () const throw (c2_exception) |
| decrement our reference count. Do not destroy at zero. More... | |
| void | release_ownership () const throw (c2_exception) |
| decrement our reference count. If the count reaches zero, destroy ourself. More... | |
| size_t | count_owners () const |
| get the reference count, mostly for debugging More... | |
| void | fill_fblock (c2_fblock< float_type > &fb) const throw (c2_exception) |
| fill in a c2_fblock<float_type>... a shortcut for the integrator & sampler More... | |
Static Public Member Functions | |
| static float_type | combine (const c2_function< float_type > &left, const c2_function< float_type > &right, float_type x, float_type *yprime, float_type *yprime2) throw (c2_exception) |
| execute math necessary to do composition More... | |
Additional Inherited Members | |
| Data Fields inherited from c2_binary_function< float_type > | |
| float_type(*const | combine )(const c2_function< float_type > &left, const c2_function< float_type > &right, float_type x, float_type *yprime, float_type *yprime2) |
| Protected Member Functions inherited from c2_binary_function< float_type > | |
| c2_binary_function (float_type(*combiner)(const c2_function< float_type > &left, const c2_function< float_type > &right, float_type x, float_type *yprime, float_type *yprime2), const c2_function< float_type > &left, const c2_function< float_type > &right) | |
| construct the binary function More... | |
| c2_binary_function (float_type(*combiner)(const c2_function< float_type > &left, const c2_function< float_type > &right, float_type x, float_type *yprime, float_type *yprime2)) | |
| construct a 'stub' c2_binary_function, which provides access to the combine() function More... | |
| Protected Member Functions inherited from c2_function< float_type > | |
| c2_function (const c2_function< float_type > &src) | |
| c2_function () | |
| virtual void | set_sampling_grid_pointer (std::vector< float_type > &grid) |
| Protected Attributes inherited from c2_binary_function< float_type > | |
| const c2_const_ptr< float_type > | Left |
| const c2_const_ptr< float_type > | Right |
| bool | stub |
| if true, we don't own any functions, we are just a source of a combining function. More... | |
| Protected Attributes inherited from c2_function< float_type > | |
| std::vector< float_type > * | sampling_grid |
| bool | no_overwrite_grid |
| float_type | fXMin |
| float_type | fXMax |
| size_t | evaluations |
| float_type | bad_x_point |
| this point may be used to record where a calculation ran into trouble More... | |
Provides function composition (nesting)
This allows evaluation of f(g(x)) where f and g are c2_function objects.
This should always be constructed using c2_function::operator()
Definition at line 79 of file c2_function.hh.
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inline |
construct outer( inner (x))
| outer | the outer function |
| inner | the inner function |
Definition at line 980 of file c2_function.hh.
References c2_function< float_type >::set_domain(), c2_function< float_type >::xmax(), and c2_function< float_type >::xmin().
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inline |
Create a stub just for the combiner to avoid statics.
Definition at line 983 of file c2_function.hh.
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inlinestatic | ||||||||||||||||||||||||||||||||
execute math necessary to do composition
Definition at line 986 of file c2_function.hh.
References left, right, and test::x.
1.8.7