| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | // -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- | ||
| 2 | // vi: set et ts=4 sw=4 sts=4: | ||
| 3 | // | ||
| 4 | // SPDX-FileCopyrightInfo: Copyright © DuMux Project contributors, see AUTHORS.md in root folder | ||
| 5 | // SPDX-License-Identifier: GPL-3.0-or-later | ||
| 6 | // | ||
| 7 | /*! | ||
| 8 | * \file | ||
| 9 | * \ingroup Core | ||
| 10 | * \brief The cubic hermite spline basis | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_COMMON_CUBIC_SPLINE_HERMITE_BASIS_HH | ||
| 13 | #define DUMUX_COMMON_CUBIC_SPLINE_HERMITE_BASIS_HH | ||
| 14 | |||
| 15 | namespace Dumux { | ||
| 16 | |||
| 17 | /*! | ||
| 18 | * \ingroup Core | ||
| 19 | * \brief The cubic spline hermite basis | ||
| 20 | * \note see https://en.wikipedia.org/wiki/Cubic_Hermite_spline | ||
| 21 | */ | ||
| 22 | template<class Scalar = double> | ||
| 23 | struct CubicSplineHermiteBasis | ||
| 24 | { | ||
| 25 | static constexpr Scalar h00(const Scalar t) | ||
| 26 | 53002962 | { return t*(2.0*t*t - 3.0*t) + 1.0; } | |
| 27 | |||
| 28 | static constexpr Scalar h10(const Scalar t) | ||
| 29 | 53002962 | { return t*(t*t - 2.0*t + 1.0); } | |
| 30 | |||
| 31 | static constexpr Scalar h01(const Scalar t) | ||
| 32 | 53002962 | { return t*t*(3.0 - 2.0*t); } | |
| 33 | |||
| 34 | static constexpr Scalar h11(const Scalar t) | ||
| 35 | 53002962 | { return t*t*(t - 1.0); } | |
| 36 | |||
| 37 | static constexpr Scalar dh00(const Scalar t) | ||
| 38 | 4007320 | { return 6.0*t*(t - 1.0); } | |
| 39 | |||
| 40 | static constexpr Scalar dh10(const Scalar t) | ||
| 41 | 4007320 | { return t*(3.0*t - 4.0) + 1.0; } | |
| 42 | |||
| 43 | static constexpr Scalar dh01(const Scalar t) | ||
| 44 | 4007320 | { return 6.0*t*(1.0 - t); } | |
| 45 | |||
| 46 | static constexpr Scalar dh11(const Scalar t) | ||
| 47 | 4007320 | { return t*(3.0*t - 2.0); } | |
| 48 | }; | ||
| 49 | |||
| 50 | } // end namespace Dumux | ||
| 51 | |||
| 52 | #endif | ||
| 53 |