12#ifndef DUMUX_COMMON_CUBIC_SPLINE_HERMITE_BASIS_HH 
   13#define DUMUX_COMMON_CUBIC_SPLINE_HERMITE_BASIS_HH 
   22template<
class Scalar = 
double>
 
   25    static constexpr Scalar 
h00(
const Scalar t)
 
   26    { 
return t*(2.0*t*t - 3.0*t) + 1.0; }
 
 
   28    static constexpr Scalar 
h10(
const Scalar t)
 
   29    { 
return t*(t*t - 2.0*t + 1.0); }
 
 
   31    static constexpr Scalar 
h01(
const Scalar t)
 
   32    { 
return t*t*(3.0 - 2.0*t); }
 
 
   34    static constexpr Scalar 
h11(
const Scalar t)
 
   35    { 
return t*t*(t - 1.0); }
 
 
   37    static constexpr Scalar 
dh00(
const Scalar t)
 
   38    { 
return 6.0*t*(t - 1.0); }
 
 
   40    static constexpr Scalar 
dh10(
const Scalar t)
 
   41    { 
return t*(3.0*t - 4.0) + 1.0; }
 
 
   43    static constexpr Scalar 
dh01(
const Scalar t)
 
   44    { 
return 6.0*t*(1.0 - t); }
 
 
   46    static constexpr Scalar 
dh11(
const Scalar t)
 
   47    { 
return t*(3.0*t - 2.0); }
 
 
 
The cubic spline hermite basis.
Definition cubicsplinehermitebasis.hh:24
static constexpr Scalar h01(const Scalar t)
Definition cubicsplinehermitebasis.hh:31
static constexpr Scalar dh01(const Scalar t)
Definition cubicsplinehermitebasis.hh:43
static constexpr Scalar dh11(const Scalar t)
Definition cubicsplinehermitebasis.hh:46
static constexpr Scalar h11(const Scalar t)
Definition cubicsplinehermitebasis.hh:34
static constexpr Scalar h00(const Scalar t)
Definition cubicsplinehermitebasis.hh:25
static constexpr Scalar dh10(const Scalar t)
Definition cubicsplinehermitebasis.hh:40
static constexpr Scalar h10(const Scalar t)
Definition cubicsplinehermitebasis.hh:28
static constexpr Scalar dh00(const Scalar t)
Definition cubicsplinehermitebasis.hh:37