Class representing the current Mobius transformation applied to a Polynomial. More...
#include <polynomial.hpp>
Public Types | |
| typedef std::array< Coeff_t, 4 > | Base |
Public Member Functions | |
| MobiusTransform (Coeff_t a, Coeff_t b, Coeff_t c, Coeff_t d) | |
| Constructor for the Mobius transformation. More... | |
| Coeff_t | eval (Coeff_t x) |
Evaluate the Mobius transformation at the transformed  . More... | |
| void | invert_taylor_shift () |
| Add the effect of a scale_poly operation to the Mobius transform. More... | |
| void | scale (Coeff_t x) |
| Add the effect of a scale_poly operation to the Mobius transform. More... | |
| void | shift (Coeff_t x) |
| Add the effect of a shift_poly operation to the Mobius transform. More... | |
Detailed Description
template<class Coeff_t>
struct sym::MobiusTransform< Coeff_t >
This class is used in the implementation of the sym::VAS_real_root_bounds_worker function. A mobius transformation is the following function:
![\[ M(x) = \frac{a\,x+b}{c\,x+d} \]](form_84.png)
This allows a polynomial to be transformed and (provided the Mobius transformation has the same operations applied to it) we can map between the original polynomial and the transformed .
Definition at line 1402 of file polynomial.hpp.
Member Typedef Documentation
◆ Base
| typedef std::array<Coeff_t, 4> sym::MobiusTransform< Coeff_t >::Base |
Definition at line 1403 of file polynomial.hpp.
Constructor & Destructor Documentation
◆ MobiusTransform()
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inline |
Definition at line 1406 of file polynomial.hpp.
Member Function Documentation
◆ eval()
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inline |
Definition at line 1413 of file polynomial.hpp.
◆ invert_taylor_shift()
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inline |
Definition at line 1453 of file polynomial.hpp.
◆ scale()
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inline |
Definition at line 1445 of file polynomial.hpp.
◆ shift()
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inline |
Definition at line 1437 of file polynomial.hpp.
The documentation for this struct was generated from the following file:
- /home/mjki2mb2/stator/stator/symbolic/polynomial.hpp
