GwyNLFitPreset — NL fitter preset functions
GwyNLFitPresetBuiltin | |
struct | GwyNLFitPreset |
struct | GwyNLFitPresetClass |
GObject ╰── GwyResource ╰── GwyNLFitPreset ╰── GwyFDCurvePreset
#include <libgwyddion/gwyddion.h>
fitting functions, with guessing, weighting, etc. to ease fitting of common functions. Most of those currently implemented are related to one-dimensional statistical characteristics of randomly rough surfaces, however, several general-purpose fitting functions are also available.
The presets are identified by name and can be obtained from the
corresponding GwyInventory, see gwy_nlfit_presets()
. All their properties
can be queried with methods such as gwy_nlfit_preset_get_nparams()
or
gwy_nlfit_preset_get_formula()
. A generic method to derive units of
fitting parameters from units of fitted data is also available:
gwy_nlfit_preset_get_param_units()
.
As of version 2.7 the defined functions include:
"Gaussian" |
"Gaussian (PSDF)" |
"Gaussian (ACF)" |
"Gaussian (HHCF)" |
"Gaussian (RPSDF)" |
"Exponential" |
"Exponential (PSDF)" |
"Exponential (ACF)" |
"Exponential (HHCF)" |
"Exponential (RPSDF)" |
"Polynomial (order 0)" |
"Polynomial (order 1)" |
"Polynomial (order 2)" |
"Polynomial (order 3)" |
"Square wave" |
"Power" |
"Lorentzian" |
"Sinc" |
The following presets are available since version 2.40:
"Parabolic step" |
"Two Gaussians (PSDF)" |
The following presets are available since version 2.41:
"Smooth bent step" |
"Smooth slanted step" |
The following presets are available since version 2.48:
"K-correlated (PSDF)" |
The following presets are available since version 2.49:
"Boltzmann bent step" |
The result of the fitting is stored in a normal GwyNLFitter, therefore the typical use is:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 |
GwyNLFitPreset *preset; GwyNLFitter *fitter; gdouble *params, *errors; preset = gwy_inventory_get_item(gwy_nlfit_presets(), "Gaussian"); params = g_new(gdouble, gwy_nlfit_preset_get_nparams(preset)); errors = g_new(gdouble, gwy_nlfit_preset_get_nparams(preset)); /* Use a priori parameter value information, or: */ gwy_nlfit_preset_guess(preset, ndata, xdata, ydata, params, &ok); fitter = gwy_nlfit_preset_fit(preset, NULL, ndata, xdata, ydata, params, params, errors, NULL); /* Examine fitting status, parameters and errors... */ g_free(params); g_free(errors); gwy_math_nlfit_free(fitter); |
gdouble gwy_nlfit_preset_get_value (GwyNLFitPreset *preset
,gdouble x
,const gdouble *params
,gboolean *fres
);
Calculates preset function value in a single point with given parameters.
x |
The point to compute value at. |
|
preset |
A NL fitter function preset. |
|
params |
Preset parameter values. |
|
fres |
The function value.
const gchar *
gwy_nlfit_preset_get_formula (GwyNLFitPreset *preset
);
Gets function formula of preset
(with Pango markup).
preset |
A NL fitter function preset. |
The preset function formula.
gint
gwy_nlfit_preset_get_nparams (GwyNLFitPreset *preset
);
Return the number of parameters of preset
.
preset |
A NL fitter function preset. |
The number of function parameters.
const gchar * gwy_nlfit_preset_get_param_name (GwyNLFitPreset *preset
,gint param
);
Gets the name of a fitting parameter of a fitter preset.
The name may contain Pango markup.
preset |
A NL fitter function preset. |
|
param |
A parameter number. |
The name of parameter param
.
GwySIUnit * gwy_nlfit_preset_get_param_units (GwyNLFitPreset *preset
,gint param
,GwySIUnit *siunit_x
,GwySIUnit *siunit_y
);
Derives the SI unit of a fitting parameter from the units of abscissa and ordinate.
preset |
A NL fitter function preset. |
|
param |
A parameter number. |
|
siunit_x |
SI unit of abscissa. |
|
siunit_y |
SI unit of ordinate. |
A newly created GwySIUnit with the units of the parameter param
.
If the units of param
are not representable as GwySIUnit,
the result is unitless (i.e. it will be presented as a mere
number).
Since: 2.5
void gwy_nlfit_preset_guess (GwyNLFitPreset *preset
,gint n_dat
,const gdouble *x
,const gdouble *y
,gdouble *params
,gboolean *fres
);
Performs initial parameter estimate for a NL fitter.
The initial estimate method depends on the function used. There is no absolute guarantee of quality, however if the data points approximately match the fitted function the fit will typically converge from the returned estimate.
The parameters are filled also on failure, though just with some neutral values that should not give raise to NaNs and infinities.
preset |
A NL fitter function preset. |
|
n_dat |
The number of data points (number of items in |
|
x |
Abscissa points. |
|
y |
Ordinate points. |
|
params |
The array to fill with estimated parameter values. It has to be
at least |
|
fres |
GwyNLFitter *
gwy_nlfit_preset_create_fitter (GwyNLFitPreset *preset
);
Creates a non-linear least-squares fitter for a preset function.
The created fitter will be of the function data type, as created with
gwy_math_nlfit_new()
.
If you do not need to modify the fitter settings you can use
gwy_nlfit_preset_fit()
directly with NULL
fitter.
preset |
A NL fitter function preset. |
A newly created fitter for preset
.
Since: 2.47
GwyNLFitter * gwy_nlfit_preset_fit (GwyNLFitPreset *preset
,GwyNLFitter *fitter
,gint n_dat
,const gdouble *x
,const gdouble *y
,gdouble *params
,gdouble *err
,const gboolean *fixed_param
);
Performs a nonlinear fit with a preset.
See gwy_math_nlfit_fit_full()
for details.
preset |
A NL fitter function preset. |
|
fitter |
A Marquardt-Levenberg nonlinear fitter already initialized for
|
|
n_dat |
The number of data points (number of items in |
|
x |
Abscissa points. |
|
y |
Ordinate points. |
|
params |
Initial parameter estimate (the number of parameters depends on
the fitted preset and it can be obtained with
|
|
err |
Array to store parameter errros to, may be |
|
fixed_param |
Which parameters should be treated as fixed (set
corresponding element to |
Either fitter
itself, or a newly created fitter if it was NULL
.
GwyInventory *
gwy_nlfit_presets (void
);
Gets inventory with all the NLFit presets.
NLFit preset inventory.
typedef struct _GwyNLFitPresetBuiltin GwyNLFitPresetBuiltin;
struct GwyNLFitPreset;
struct GwyNLFitPresetClass { GwyResourceClass parent_class; };