Polynomial templated on size (order): More...
Public Types | |
typedef Polynomial< PolySize > | polyType |
typedef Polynomial< PolySize+1 > | intPolyType |
Public Types inherited from VectorSpace< Polynomial< PolySize >, scalar, PolySize > | |
typedef VectorSpace< Polynomial< PolySize >, scalar, Ncmpts > | vsType |
VectorSpace type. More... | |
typedef scalar | cmptType |
Component type. More... | |
Public Member Functions | |
Polynomial () | |
Construct null, with all coefficients = 0.0. More... | |
Polynomial (const scalar coeffs[PolySize]) | |
Construct from C-array of coefficients. More... | |
Polynomial (const UList< scalar > &coeffs) | |
Construct from a list of coefficients. More... | |
Polynomial (Istream &) | |
Construct from Istream. More... | |
Polynomial (const word &name, Istream &) | |
Construct from name and Istream. More... | |
bool | logActive () const |
Return true if the log term is active. More... | |
scalar | logCoeff () const |
Return the log coefficient. More... | |
scalar | value (const scalar x) const |
Return polynomial value. More... | |
scalar | derivative (const scalar x) const |
Return derivative of the polynomial at the given x. More... | |
scalar | integral (const scalar x1, const scalar x2) const |
Return integral between two values. More... | |
intPolyType | integral (const scalar intConstant=0.0) const |
Return integral coefficients. More... | |
polyType | integralMinus1 (const scalar intConstant=0.0) const |
Return integral coefficients when lowest order is -1. More... | |
Public Member Functions inherited from VectorSpace< Polynomial< PolySize >, scalar, PolySize > | |
VectorSpace () | |
Construct null. More... | |
VectorSpace (const Foam::zero) | |
Construct initialised to zero. More... | |
VectorSpace (Istream &) | |
Construct from Istream. More... | |
VectorSpace (const VectorSpace< Form2, Cmpt2, Ncmpts > &) | |
Construct as copy of a VectorSpace with the same size. More... | |
const scalar & | component (const direction) const |
scalar & | component (const direction) |
void | component (scalar &, const direction) const |
void | replace (const direction, const scalar &) |
const ConstBlock< SubVector, BStart > | block () const |
const VectorSpace< Polynomial< PolySize >, scalar, Ncmpts >::template ConstBlock< SubVector, BStart > | block () const |
const scalar & | operator[] (const direction) const |
scalar & | operator[] (const direction) |
void | operator+= (const VectorSpace< Polynomial< PolySize >, scalar, Ncmpts > &) |
void | operator-= (const VectorSpace< Polynomial< PolySize >, scalar, Ncmpts > &) |
void | operator= (const Foam::zero) |
void | operator*= (const Type) |
void | operator/= (const Type) |
Friends | |
Ostream & | operator (Ostream &, const Polynomial &) |
Ostream Operator. More... | |
Additional Inherited Members | |
Static Public Member Functions inherited from VectorSpace< Polynomial< PolySize >, scalar, PolySize > | |
static direction | size () |
Return the number of elements in the VectorSpace = Ncmpts. More... | |
static Polynomial< PolySize > | uniform (const scalar &s) |
Return a VectorSpace with all elements = s. More... | |
Public Attributes inherited from VectorSpace< Polynomial< PolySize >, scalar, PolySize > | |
scalar | v_ [Ncmpts] |
The components of this vector space. More... | |
Static Public Attributes inherited from VectorSpace< Polynomial< PolySize >, scalar, PolySize > | |
static const direction | dim |
Dimensionality of space. More... | |
static const direction | nComponents |
Number of components in this vector space. More... | |
static const direction | mRows |
static const direction | nCols |
static const char *const | typeName |
static const char *const | componentNames [] |
static const Polynomial< PolySize > | zero |
static const Polynomial< PolySize > | one |
static const Polynomial< PolySize > | max |
static const Polynomial< PolySize > | min |
static const Polynomial< PolySize > | rootMax |
static const Polynomial< PolySize > | rootMin |
static const Polynomial< PolySize > | nan |
Polynomial templated on size (order):
poly = sum(coeffs[i]*x^i) + logCoeff*log(x)
where 0 <= i <= N
value(x)
to evaluate the poly for a given valuederivative(x)
returns derivative at valueintegral(x1, x2)
returns integral between two scalar valuesintegral()
to return a new, integral coeff polynomialintegralMinus1()
to return a new, integral coeff polynomial where the base poly starts at order -1Definition at line 81 of file Polynomial.H.
typedef Polynomial<PolySize> polyType |
Definition at line 98 of file Polynomial.H.
typedef Polynomial<PolySize+1> intPolyType |
Definition at line 100 of file Polynomial.H.
Construct null, with all coefficients = 0.0.
Definition at line 31 of file Polynomial.C.
References VectorSpace< Polynomial< PolySize >, scalar, PolySize >::v_.
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explicit |
Construct from C-array of coefficients.
Definition at line 45 of file Polynomial.C.
References VectorSpace< Polynomial< PolySize >, scalar, PolySize >::v_.
|
explicit |
Construct from a list of coefficients.
Definition at line 59 of file Polynomial.C.
References Foam::exit(), Foam::FatalError, FatalErrorInFunction, Foam::nl, UList< T >::size(), and VectorSpace< Polynomial< PolySize >, scalar, PolySize >::v_.
Polynomial | ( | Istream & | is | ) |
Construct from Istream.
Definition at line 81 of file Polynomial.C.
Polynomial | ( | const word & | name, |
Istream & | is | ||
) |
Construct from name and Istream.
Definition at line 90 of file Polynomial.C.
References Foam::exit(), Foam::FatalError, FatalErrorInFunction, Foam::name(), and Foam::nl.
bool logActive |
Return true if the log term is active.
Definition at line 120 of file Polynomial.C.
Foam::scalar logCoeff |
Return the log coefficient.
Definition at line 127 of file Polynomial.C.
Foam::scalar value | ( | const scalar | x | ) | const |
Return polynomial value.
Definition at line 134 of file Polynomial.C.
Foam::scalar derivative | ( | const scalar | x | ) | const |
Return derivative of the polynomial at the given x.
Definition at line 155 of file Polynomial.C.
References x.
Foam::scalar integral | ( | const scalar | x1, |
const scalar | x2 | ||
) | const |
Return integral between two values.
Definition at line 181 of file Polynomial.C.
References Foam::log().
Foam::Polynomial< PolySize >::intPolyType integral | ( | const scalar | intConstant = 0.0 | ) | const |
Return integral coefficients.
Argument becomes zero'th element (constant of integration)
Definition at line 209 of file Polynomial.C.
References forAll.
Foam::Polynomial< PolySize >::polyType integralMinus1 | ( | const scalar | intConstant = 0.0 | ) | const |
Return integral coefficients when lowest order is -1.
Argument becomes zero'th element (constant of integration)
Definition at line 225 of file Polynomial.C.
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friend |
Ostream Operator.