VectorFraction<Domain> is a vector of rational elements with common reduced denominator. More...
#include <vector-fraction.h>
Collaboration diagram for VectorFraction< Domain >:
Public Member Functions | |
| VectorFraction (const Domain &D, FVector &frac) | |
| constructor from vector of rational numbers reduces individual pairs in-place first unless alreadyReduced=true | |
| VectorFraction (const Domain &D, size_t n) | |
| allocating constructor, returns [0, 0, ... More... | |
| VectorFraction (const VectorFraction< Domain > &VF) | |
| copy constructor | |
| void | copy (const VectorFraction< Domain > &VF) |
| copy without construction | |
| void | clearAndResize (size_t size) |
| clear and resize without construction | |
| bool | combineSolution (const VectorFraction< Domain > &other) |
| Replaces *this with a linear combination of *this and other such that the result has denominator == gcd(this->denom, other.denom) see Mulders+Storjohann : 'Certified Dense Linear System Solving' Lemma 2.1 return value of true means that there was some improvement (ie denom was reduced) | |
| bool | boundedCombineSolution (const VectorFraction< Domain > &other, const Element &denBound, Element &g) |
| Adds in-place to *this a multiple of other such that the result has gcd(denominator, denBound) == gcd(this->denom, other.denom, denBound) see Mulders+Storjohann : 'Certified Dense Linear System Solving' Lemma 6.1 return value of true means that there was some improvement (ie gcd(denom, denBound) was reduced) g is gcd(denom, denBound), and is updated by this function when there is improvement. | |
| bool | combineCertificate (const VectorFraction< Domain > &other, Element &n1, Element &d1, const Element &n2, const Element d2) |
| Adds in-place to *this a multiple of other to create an improved certificate ("z") n1/d1 = *this . More... | |
| VectorFraction< Domain > & | axpyin (Element &a, const VectorFraction< Domain > &x) |
| this += a * x. More... | |
| std::ostream & | write (std::ostream &os) const |
| write to a stream | |
| FVector & | toFVector (FVector &result) const |
| convert to 'answer' type of lifting container | |
| VectorFraction< Domain > & | simplify () |
| reduces to simplest form, returns (*this) | |
Detailed Description
template<class Domain>
class LinBox::VectorFraction< Domain >
VectorFraction<Domain> is a vector of rational elements with common reduced denominator.
Here Domain is a ring supporting the gcd, eg NTL_ZZ or Givaro::ZRing<Integer> For compatability with the return type of rationalSolver, it allows conversion from/to std::vector<std::pair<Domain::Element> >. All functions will return the fraction in reduced form, calling reduce() if necessary.
Constructor & Destructor Documentation
◆ VectorFraction()
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inline |
allocating constructor, returns [0, 0, ...
0]/1
Member Function Documentation
◆ combineCertificate()
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inline |
Adds in-place to *this a multiple of other to create an improved certificate ("z") n1/d1 = *this .
b, n2/d2 = other . b in reduced form n1/d1 are updated so that new denominator is lcm(d1, d2); see Mulders+Storjohann : 'Certified Dense Linear System Solving' Lemma 6.2 return value of true means that there was some improvement (ie d1 was increased)
◆ axpyin()
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inline |
this += a * x.
performs a rational axpy with an integer multiplier returns (*this)
The documentation for this class was generated from the following file:
- vector-fraction.h
