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Geant4.10
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Geant4.10
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A spline with X in reciprocal space and Y transformed in log space.Most useful for thermodynamic types of data where Y is roughly A*exp(-B/x). Typical examples are reaction rate data, and thermistor calibration data. More...
#include <c2_function.hh>
Public Member Functions | |
| arrhenius_interpolating_function_p () | |
| an empty arrhenius cubic-spline interpolating_function_p More... | |
| virtual interpolating_function_p < float_type > & | clone () const throw (c2_exception) |
| create a new, empty interpolating function of this type (virtual constructor) More... | |
 Public Member Functions inherited from interpolating_function_p< float_type > | |
| interpolating_function_p () | |
| an empty linear-linear cubic-spline interpolating_function_p More... | |
| interpolating_function_p (const c2_function_transformation< float_type > &transform) | |
| an empty cubic-spline interpolating_function_p with a specific transform More... | |
| interpolating_function_p < float_type > & | load (const std::vector< float_type > &x, const std::vector< float_type > &f, bool lowerSlopeNatural, float_type lowerSlope, bool upperSlopeNatural, float_type upperSlope, bool splined=true) throw (c2_exception) |
| do the dirty work of constructing the spline from a function. More... | |
| interpolating_function_p < float_type > & | load_pairs (std::vector< std::pair< float_type, float_type > > &data, bool lowerSlopeNatural, float_type lowerSlope, bool upperSlopeNatural, float_type upperSlope, bool splined=true) throw (c2_exception) |
| do the dirty work of constructing the spline from a function. More... | |
| interpolating_function_p < float_type > & | sample_function (const c2_function< float_type > &func, float_type amin, float_type amax, float_type abs_tol, float_type rel_tol, bool lowerSlopeNatural, float_type lowerSlope, bool upperSlopeNatural, float_type upperSlope) throw (c2_exception) |
| do the dirty work of constructing the spline from a function. More... | |
| interpolating_function_p < float_type > & | load_random_generator_function (const std::vector< float_type > &bincenters, const c2_function< float_type > &binheights) throw (c2_exception) |
| initialize from a grid of points and a c2_function (un-normalized) to an interpolator which, when evaluated with a uniform random variate on [0,1] returns random numbers distributed as the input function. More... | |
| interpolating_function_p < float_type > & | load_random_generator_bins (const std::vector< float_type > &bins, const std::vector< float_type > &binheights, bool splined=true) throw (c2_exception) |
| initialize from a grid of points and an std::vector of probability densities (un-normalized) to an interpolator which, when evaluated with a uniform random variate on [0,1] returns random numbers distributed as the input histogram. More... | |
| virtual float_type | value_with_derivatives (float_type x, float_type *yprime, float_type *yprime2) const throw (c2_exception) |
| get the value and derivatives. More... | |
| virtual | ~interpolating_function_p () |
| destructor More... | |
| void | get_data (std::vector< float_type > &xvals, std::vector< float_type > &yvals) const throw () |
| retrieve copies of the x & y tables from which this was built More... | |
| void | get_internal_data (std::vector< float_type > &xvals, std::vector< float_type > &yvals, std::vector< float_type > &y2vals) const |
| retrieve copies of the transformed x, y and y2 tables from which this was built More... | |
| void | set_lower_extrapolation (float_type bound) |
| enable extrapolation of the function below the tabulated data. More... | |
| void | set_upper_extrapolation (float_type bound) |
| enable extrapolation of the function above the tabulated data. More... | |
| interpolating_function_p < float_type > & | unary_operator (const c2_function< float_type > &source) const |
| create a new interpolating_function_p which is the source function applied to every point in the interpolating tables More... | |
| interpolating_function_p < float_type > & | binary_operator (const c2_function< float_type > &rhs, const c2_binary_function< float_type > *combining_stub) const |
| create a new interpolating_function_p which is the parent interpolating_function_p combined with rhs using combiner at every point in the interpolating tables More... | |
| interpolating_function_p < float_type > & | add_pointwise (const c2_function< float_type > &rhs) const |
| produce a newly resampled interpolating_function_p which is the specified sum. More... | |
| interpolating_function_p < float_type > & | subtract_pointwise (const c2_function< float_type > &rhs) const |
| produce a newly resampled interpolating_function_p which is the specified difference. More... | |
| interpolating_function_p < float_type > & | multiply_pointwise (const c2_function< float_type > &rhs) const |
| produce a newly resampled interpolating_function_p which is the specified product. More... | |
| interpolating_function_p < float_type > & | divide_pointwise (const c2_function< float_type > &rhs) const |
| produce a newly resampled interpolating_function_p which is the specified ratio. More... | |
| void | clone_data (const interpolating_function_p< float_type > &rhs) |
| copy data from another interpolating function. This only makes sense if the source 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... | |
Additional Inherited Members | |
| Data Fields inherited from interpolating_function_p< float_type > | |
| const c2_function_transformation < float_type > & | fTransform |
| Protected Member Functions inherited from interpolating_function_p< float_type > | |
| void | spline (bool lowerSlopeNatural, float_type lowerSlope, bool upperSlopeNatural, float_type upperSlope) throw (c2_exception) |
| create the spline coefficients 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) |
| Static Protected Member Functions inherited from interpolating_function_p< float_type > | |
| static bool | comp_pair (std::pair< float_type, float_type > const &i, std::pair< float_type, float_type > const &j) |
| Protected Attributes inherited from interpolating_function_p< float_type > | |
| std::vector< float_type > | Xraw |
| std::vector< float_type > | X |
| std::vector< float_type > | F |
| std::vector< float_type > | y2 |
| c2_const_ptr< float_type > | sampler_function |
| bool | xInverted |
| size_t | lastKLow |
| 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... | |
A spline with X in reciprocal space and Y transformed in log space.
Most useful for thermodynamic types of data where Y is roughly A*exp(-B/x). Typical examples are reaction rate data, and thermistor calibration data.
The factory function c2_factory::arrhenius_interpolating_function() creates *new arrhenius_interpolating_function_p()
Definition at line 1649 of file c2_function.hh.
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an empty arrhenius cubic-spline interpolating_function_p
Definition at line 1653 of file c2_function.hh.
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create a new, empty interpolating function of this type (virtual constructor)
Reimplemented from interpolating_function_p< float_type >.
Definition at line 1656 of file c2_function.hh.
1.8.7