WENO2.h

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/*
**  WENO2.h
**
**  This is part of Shiokaze, a research-oriented fluid solver for computer graphics.
**  Created by Ryoichi Ando <rand@nii.ac.jp> on Feb 7, 2017.
**
**  Permission is hereby granted, free of charge, to any person obtaining a copy of
**  this software and associated documentation files (the "Software"), to deal in
**  the Software without restriction, including without limitation the rights to use,
**  copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the
**  Software, and to permit persons to whom the Software is furnished to do so,
**  subject to the following conditions:
**
**  The above copyright notice and this permission notice shall be included in all copies
**  or substantial portions of the Software.
**
**  THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED,
**  INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
**  PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
**  HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF
**  CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE
**  OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*/
//
#ifndef SHKZ_WENO2_H
#define SHKZ_WENO2_H
//
#include "WENO.h"
#include <shiokaze/math/vec.h>
#include <shiokaze/array/array2.h>
//
SHKZ_BEGIN_NAMESPACE
//
class WENO2 {
public:
    static vec2d interpolate( const array2<vec2r> &array, const vec2d &p, unsigned order=6 ) {
        //
        const auto shape = array.shape();
        double x = std::max(0.0,std::min(shape.w-1.,p[0]));
        double y = std::max(0.0,std::min(shape.h-1.,p[1]));
        //
        int i = std::min(x,shape.w-2.);
        int j = std::min(y,shape.h-2.);
        //
        vec2d result;
        for( int dim : DIMS2 ) {
            if( order == 6 ) {
                double vv[6];
                for( int jj=0; jj<6; ++jj ) {
                    double v[6];
                    for( int ii=0; ii<6; ++ii ) v[ii] = array(shape.clamp(i+ii-2,j+jj-2))[dim];
                    vv[jj] = WENO::interp6(x-i,v);
                }
                result[dim] = WENO::interp6(y-j,vv);
            } else if( order == 4 ) {
                double vv[4];
                for( int jj=0; jj<4; ++jj ) {
                    double hv[4];
                    for( int ii=0; ii<4; ++ii ) hv[ii] = array(shape.clamp(i+ii-1,j+jj-1))[dim];
                    vv[jj] = WENO::interp4(x-i,hv);
                }
                result[dim] = WENO::interp4(y-j,vv);
            } else {
                printf( "Unsupported order (order=%d)\n", order );
                exit(0);
            }
        }
        return result;
    }
    static double interpolate( const array2<Real> &array, const vec2d &p, unsigned order=6 ) {
        //
        const auto shape = array.shape();
        double x = std::max(0.0,std::min(shape.w-1.,p[0]));
        double y = std::max(0.0,std::min(shape.h-1.,p[1]));
        //
        int i = std::min(x,shape.w-2.);
        int j = std::min(y,shape.h-2.);
        //
        if( order == 6 ) {
            double vv[6];
            for( int jj=0; jj<6; ++jj ) {
                double v[6];
                for( int ii=0; ii<6; ++ii ) v[ii] = array(shape.clamp(i+ii-2,j+jj-2));
                vv[jj] = WENO::interp6(x-i,v);
            }
            return WENO::interp6(y-j,vv);
        } else if( order == 4 ) {
            double vv[4];
            for( int jj=0; jj<4; ++jj ) {
                double v[4];
                for( int ii=0; ii<4; ++ii ) v[ii] = array(shape.clamp(i+ii-1,j+jj-1));
                vv[jj] = WENO::interp4(x-i,v);
            }
            return WENO::interp4(y-j,vv);
        } else {
            printf( "Unsupported order (order=%d)\n", order );
            exit(0);
        }
    }
};
//
SHKZ_END_NAMESPACE
//
#endif