Implements a Fourier cosine/sine series.
The functor class with type "Fourier" returns
\[
f(t) = \frac{a_0}{2} + \sum_{n=1}^N a_n \cos (n \omega t) + b_n \sin (n \omega t)
\]
Definition at line 768 of file Func1.h.
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| | Fourier1 (size_t n, double omega, double a0, const double *a, const double *b) |
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| | Fourier1 (const vector< double > ¶ms) |
| | Constructor uses \( 2 n + 2 \) parameters in the following order: \( [a_0, a_1, \dots, a_n, \omega, b_1, \dots, b_n] \).
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| string | type () const override |
| | Returns a string describing the type of the function.
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| bool | isIdentical (shared_ptr< Func1 > other) const override |
| | Routine to determine if two functions are the same.
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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 & | 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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| virtual bool | isIdentical (shared_ptr< Func1 > other) const |
| | Routine to determine if two functions are the same.
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| virtual 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 m_c.
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| shared_ptr< Func1 > | func1_shared () const |
| | Accessor function for m_f1.
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| shared_ptr< Func1 > | func2_shared () const |
| | Accessor function for m_f2.
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| virtual int | order () const |
| | Return the order of the function, if it makes sense.
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| Fourier1 |
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const vector< double > & |
params | ) |
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Constructor uses \( 2 n + 2 \) parameters in the following order: \( [a_0, a_1, \dots, a_n, \omega, b_1, \dots, b_n] \).
Definition at line 269 of file Func1.cpp.
| bool isIdentical |
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shared_ptr< Func1 > |
other | ) |
const |
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inlineoverridevirtual |
Routine to determine if two functions are the same.
Two functions are the same if they are the same function. For example, either ID and stored constant are the same, or the m_f1 and m_f2 are identical if they are non-null. Functors of the base class Func1 are by default not identical, as they are used by callback functions that cannot be differentiated. In instances where exact comparisons are not implemented, false is returned to prevent false positives that could lead to incorrect simplifications of compound functors.
Reimplemented from Func1.
Definition at line 788 of file Func1.h.
Public Member Functions inherited from Func1
1.9.7