Implements a Gaussian function.
The functor class with type "Gaussian" returns
\[
f(t) = A e^{-[(t - t_0)/\tau]^2}
\]
where \( \tau = \mathrm{fwhm} / (2 \sqrt{\ln 2}) \).
- Parameters
-
| A | peak value |
| t0 | offset |
| fwhm | full width at half max |
- Since
- New in Cantera 3.0.
Definition at line 765 of file Func1.h.
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| | Gaussian1 (double A, double t0, double fwhm) |
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| | Gaussian1 (const vector< double > ¶ms) |
| | Constructor uses 3 parameters in the following order: \( [A, t_0, \mathrm{fwhm}] \).
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| string | type () const override |
| | Returns a string describing the type of the function.
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| double | eval (double t) const override |
| | Evaluate the function.
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| | Func1 (shared_ptr< Func1 > f1, shared_ptr< Func1 > f2) |
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| | Func1 (shared_ptr< Func1 > f1, double A) |
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| Func1 (const Func1 &right)=delete |
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Func1 & | operator= (const Func1 &right)=delete |
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| virtual string | type () const |
| | Returns a string describing the type of the function.
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| string | typeName () const |
| | Returns a string with the class name of the functor.
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| double | operator() (double t) const |
| | Calls method eval to evaluate the function.
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| virtual double | eval (double t) const |
| | Evaluate the function.
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| virtual shared_ptr< Func1 > | derivative () const |
| | Creates a derivative to the current function.
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| shared_ptr< Func1 > | derivative3 () const |
| | Creates a derivative to the current function.
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| bool | isIdentical (Func1 &other) const |
| | Routine to determine if two functions are the same.
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| virtual double | isProportional (TimesConstant1 &other) |
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| virtual double | isProportional (Func1 &other) |
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| virtual string | write (const string &arg) const |
| | Write LaTeX string describing function.
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| double | c () const |
| | Accessor function for the stored constant.
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| shared_ptr< Func1 > | func1_shared () const |
| | Accessor function for m_f1_shared.
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| shared_ptr< Func1 > | func2_shared () const |
| | Accessor function for m_f2_shared.
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| virtual int | order () const |
| | Return the order of the function, if it makes sense.
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Public Member Functions inherited from Func1
1.9.7