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prometeo_metric_coeffs_macros.h
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prometeo_metric_coeffs_macros.h
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// Copyright (c) "2019, by Stanford University
// Developer: Mario Di Renzo
// Affiliation: Center for Turbulence Research, Stanford University
// URL: https://ctr.stanford.edu
// Citation: Di Renzo, M., Lin, F., and Urzay, J. (2020).
// HTR solver: An open-source exascale-oriented task-based
// multi-GPU high-order code for hypersonic aerothermodynamics.
// Computer Physics Communications 255, 107262"
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
// * Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
// ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
// WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
// DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER BE LIABLE FOR ANY
// DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
// (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
// LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
// ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#ifndef __PROMETEO_METRIC_COEFFS_MACROS_H__
#define __PROMETEO_METRIC_COEFFS_MACROS_H__
//-----------------------------------------------------------------------------
// STANDARD NODE
//-----------------------------------------------------------------------------
//
// dxm2: |-----------------------------------------|
// dxm1: |---------------------------|
// dx: |-------------|
// dxp1: |-------------|
// dxp2: |---------------------------|
// dxp3: |-----------------------------------------|
// c-2 c-1 c x=0 c+1 c+2 c+3
// |------x------|------x------|------x------|------x------|------x------|------x------|
//
// Plus reconstruction:
// 1st: o-------------o-----> <-----o
// 2nd: o-----> <-----o-------------o
// 3rd: o-------------o-------------o----->
// 4th: o-----> <-----o-------------o-------------o
//
// Minus reconstruction:
// 1st: o-----> <-----o-------------o
// 2nd: o-------------o-----> <-----o
// 3rd: <-----o-------------o-------------o
// 4th: o-------------o-------------o-----> <-----o
#define Std_Cp { -2, -1, 1, 2, 3}
#define Std_Recon_Plus { \
0.0, -1.0/6.0, 5.0/6.0, 2.0/6.0, 0.0, 0.0, \
0.0, 0.0, 2.0/6.0, 5.0/6.0, -1.0/6.0, 0.0, \
2.0/6.0, -7.0/6.0, 11.0/6.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 3.0/12.0, 13.0/12.0, -5.0/12.0, 1.0/12.0}
#define Std_Recon_Minus { \
0.0, 0.0, 2.0/6.0, 5.0/6.0, -1.0/6.0, 0.0, \
0.0, -1.0/6.0, 5.0/6.0, 2.0/6.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 11.0/6.0, -7.0/6.0, 2.0/6.0, \
1.0/12.0, -5.0/12.0, 13.0/12.0, 3.0/12.0, 0.0, 0.0}
#define Std_Coeffs_Plus {9.0/20.0, 6.0/20.0, 1.0/20.0, 4.0/20.0}
#define Std_Coeffs_Minus {9.0/20.0, 6.0/20.0, 1.0/20.0, 4.0/20.0}
//const double Std_Recon = terralib.newlist({0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
//for i=1,6 do
// for St =1,nStencils do
// Std_Recon[i] = Std_Recon[i] + Std_Recon_Plus[(St-1)*6+i]*Std_Coeffs_Plus[St]
// end
//end
#define Std_KennedyOrder 3 // Sixth-order
#define Std_KennedyCoeff {3.0/4.0, -3.0/20.0, 1.0/60.0}
//-----------------------------------------------------------------------------
// STAGGERED LEFT BC
//-----------------------------------------------------------------------------
// Boundary node is staggered on the face so we do not need any reconstruction
#define L_S_Recon_Plus { 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 1.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 1.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 1.0, 0.0, 0.0, 0.0}
#define L_S_Recon_Minus { 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 1.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 1.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 1.0, 0.0, 0.0, 0.0}
#define L_S_Cp {0,0,1,1,1}
#define L_S_Coeffs_Plus {9.0/20.0, 6.0/20.0, 1.0/20.0, 4.0/20.0}
#define L_S_Coeffs_Minus {9.0/20.0, 6.0/20.0, 1.0/20.0, 4.0/20.0}
//local L_S_Recon = terralib.newlist({0.0, 0.0, 0.0, 0.0, 0.0, 0.0})
//for i=1,6 do
// for St =1,nStencils do
// L_S_Recon[i] = L_S_Recon[i] + L_S_Recon_Plus[(St-1)*6+i]*L_S_Coeffs_Plus[St]
// end
//end
#define L_S_KennedyOrder 0 // Zero-order
#define L_S_KennedyCoeff {0.0, 0.0, 0.0}
// dx: |-------------|
// dxp1: |-------------|
// dxp2: |---------------------------|
// dxp3: |-----------------------------------------|
// c-0.5 c x=0 c+1 c+2 c+3
// x------x------|------x------|------x------|------x------|
//
// Plus reconstruction:
// 1st: o------o-----> <-----o
// 2nd: o-----> <-----o-------------o
// 3rd: does not exist
// 4th: o-----> <-----o-------------o-------------o
//
// Minus reconstruction:
// 1st: o-----> <-----o-------------o
// 2nd: o------o-----> <-----o
// 3rd: <-----o-------------o-------------o
// 4th: does not exist
#define Lp1_S_Cp { -1, -1, 1, 2, 3}
#define Lp1_S_Recon_Plus { \
0.0, -2.0/4.0, 5.0/4.0, 1.0/4.0, 0.0, 0.0, \
0.0, 0.0, 2.0/6.0, 5.0/6.0, -1.0/6.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 3.0/12.0, 13.0/12.0, -5.0/12.0, 1.0/12.0}
#define Lp1_S_Recon_Minus { \
0.0, 0.0, 2.0/6.0, 5.0/6.0, -1.0/6.0, 0.0, \
0.0, -2.0/4.0, 5.0/4.0, 1.0/4.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 11.0/6.0, -7.0/6.0, 2.0/6.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define Lp1_S_Coeffs_Plus {2.0/4.0, 1.0/4.0, 0.0, 1.0/4.0}
#define Lp1_S_Coeffs_Minus {7.0/16.0, 8.0/16.0, 1.0/16.0, 0.0 }
//local Lp1_S_Recon = terralib.newlist({0.0, 0.0, 0.0, 0.0, 0.0, 0.0})
//for i=1,6 do
// for St =1,nStencils do
// Lp1_S_Recon[i] = Lp1_S_Recon[i] + Lp1_S_Recon_Plus[(St-1)*6+i]*Lp1_S_Coeffs_Plus[St]
// end
//end
#define Lp1_S_KennedyOrder 1 // Second-order
#define Lp1_S_KennedyCoeff {0.5, 0.0, 0.0}
// dxm1: |---------------------------|
// dx: |-------------|
// dxp1: |-------------|
// dxp2: |---------------------------|
// dxp3: |-----------------------------------------|
// c-1.5 c-1 c x=0 c+1 c+2 c+3
// x------x------|------x------|------x------|------x------|------x------|
//
// Plus reconstruction:
// 1st: o-------------o-----> <-----o
// 2nd: o-----> <-----o-------------o
// 3rd: o------o-------------o----->
// 4th: o-----> <-----o-------------o-------------o
//
// Minus reconstruction:
// 1st: o-----> <-----o-------------o
// 2nd: o-------------o-----> <-----o
// 3rd: <-----o-------------o-------------o
// 4th: o------o-------------o-----> <-----o
#define Lp2_S_Cp { -2, -1, 1, 2, 3}
#define Lp2_S_Recon_Plus { \
0.0, -1.0/6.0, 5.0/6.0, 2.0/6.0, 0.0, 0.0, \
0.0, 0.0, 2.0/6.0, 5.0/6.0, -1.0/6.0, 0.0, \
1.0, -2.0, 2.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 3.0/12.0, 13.0/12.0, -5.0/12.0, 1.0/12.0}
#define Lp2_S_Recon_Minus { \
0.0, 0.0, 2.0/6.0, 5.0/6.0, -1.0/6.0, 0.0, \
0.0, -1.0/6.0, 5.0/6.0, 2.0/6.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 11.0/6.0, -7.0/6.0, 2.0/6.0, \
3.0/9.0, -7.0/9.0, 11.0/9.0, 2.0/9.0, 0.0, 0.0} \
#define Lp2_S_Coeffs_Plus {47.0/100.0, 27.0/100.0, 10.0/100.0, 16.0/100.0}
#define Lp2_S_Coeffs_Minus {39.0/100.0, 27.0/100.0, 4.0/100.0, 30.0/100.0}
//local Lp2_S_Recon = terralib.newlist({0.0, 0.0, 0.0, 0.0, 0.0, 0.0})
//for i=1,6 do
// for St =1,nStencils do
// Lp2_S_Recon[i] = Lp2_S_Recon[i] + Lp2_S_Recon_Plus[(St-1)*6+i]*Lp2_S_Coeffs_Plus[St]
// end
//end
#define Lp2_S_KennedyOrder 2 // Fourth-order
#define Lp2_S_KennedyCoeff {2.0/3.0, -1.0/12.0, 0.0}
//-------------------------------------------------------------------------------
//-- COLLOCATED LEFT BC
//-------------------------------------------------------------------------------
// dx: |-------------|
// dxp1: |-------------|
// c x=0 c+1
// |------x------|------x------|
//
// Plus reconstruction:
// 1st: o----->
// 2nd: does not exist
// 3rd: does not exist
// 4th: does not exist
//
// Minus reconstruction:
// 1st: <-----o
// 2nd: does not exist
// 3rd: does not exist
// 4th: does not exist
#define L_C_Cp { 0, 0, 1, 2, 2}
#define L_C_Recon_Plus { 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define L_C_Recon_Minus { 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define L_C_Coeffs_Plus {1.0, 0.0, 0.0, 0.0}
#define L_C_Coeffs_Minus {1.0, 0.0, 0.0, 0.0}
#define L_C_Recon {0.0, 0.0, 0.5, 0.5, 0.0, 0.0}
#define L_C_KennedyOrder 1 // Second-order
#define L_C_KennedyCoeff {0.5, 0.0, 0.0}
// dxm1: |---------------------------|
// dx: |-------------|
// dxp1: |-------------|
// dxp2: |---------------------------|
// dxp3: |-----------------------------------------|
// c-1 c x=0 c+1 c+2 c+3
// |------x------|------x------|------x------|------x------|------x------|
//
// Plus reconstruction:
// 1st: o-------------o-----> <-----o
// 2nd: o-----> <-----o-------------o
// 3rd: does not exist
// 4th: does not exist
//
// Minus reconstruction:
// 1st: o-----> <-----o-------------o
// 2nd: o-------------o-----> <-----o
// 3rd: does not exist
// 4th: does not exist
#define Lp1_C_Cp { -1, -1, 1, 2, 2}
#define Lp1_C_Recon_Plus { \
0.0, -1.0/6.0, 5.0/6.0, 2.0/6.0, 0.0, 0.0, \
0.0, 0.0, 2.0/6.0, 5.0/6.0, -1.0/6.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define Lp1_C_Recon_Minus { \
0.0, 0.0, 2.0/6.0, 5.0/6.0, -1.0/6.0, 0.0, \
0.0, -1.0/6.0, 5.0/6.0, 2.0/6.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define Lp1_C_Coeffs_Plus {1.0/2.0, 1.0/2.0, 0.0, 0.0}
#define Lp1_C_Coeffs_Minus {1.0/2.0, 1.0/2.0, 0.0, 0.0}
//local Lp1_C_Recon = terralib.newlist({0.0, 0.0, 0.0, 0.0, 0.0, 0.0})
//for i=1,6 do
// for St =1,nStencils do
// Lp1_C_Recon[i] = Lp1_C_Recon[i] + Lp1_C_Recon_Plus[(St-1)*6+i]*Lp1_C_Coeffs_Plus[St]
// end
//end
#define Lp1_C_KennedyOrder 2 // Fourth-order
#define Lp1_C_KennedyCoeff {2.0/3.0, -1.0/12.0, 0.0}
//-----------------------------------------------------------------------------
// STAGGERED RIGHT BC
//-----------------------------------------------------------------------------
#define R_S_Cp {-1, -1, 0, 0, 0}
#define R_S_Recon_Plus { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define R_S_Recon_Minus { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define R_S_Coeffs_Plus {0.0, 0.0, 0.0, 0.0}
#define R_S_Coeffs_Minus {0.0, 0.0, 0.0, 0.0}
//local R_S_Recon = terralib.newlist({0.0, 0.0, 0.0, 0.0, 0.0, 0.0})
#define R_S_KennedyOrder 0 // Zero-order
#define R_S_KennedyCoeff {0.0, 0.0, 0.0}
// Boundary node is staggered on the face so we do not need any reconstruction
#define Rm1_S_Cp {-1, -1, 1, 1, 1}
#define Rm1_S_Recon_Plus {0.0, 0.0, 0.0, 1.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 1.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 1.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 1.0, 0.0, 0.0}
#define Rm1_S_Recon_Minus {0.0, 0.0, 0.0, 1.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 1.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 1.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 1.0, 0.0, 0.0}
#define Rm1_S_Coeffs_Plus {9.0/20.0, 6.0/20.0, 1.0/20.0, 4.0/20.0}
#define Rm1_S_Coeffs_Minus {9.0/20.0, 6.0/20.0, 1.0/20.0, 4.0/20.0}
//local Rm1_S_Recon = terralib.newlist({0.0, 0.0, 0.0, 0.0, 0.0, 0.0})
//for i=1,6 do
// for St =1,nStencils do
// Rm1_S_Recon[i] = Rm1_S_Recon[i] + Rm1_S_Recon_Plus[(St-1)*6+i]*Rm1_S_Coeffs_Plus[St]
// end
//end
#define Rm1_S_KennedyOrder 0 // Zero-order
#define Rm1_S_KennedyCoeff {0.0, 0.0, 0.0}
// dxm2: |-----------------------------------------|
// dxm1: |---------------------------|
// dx: |-------------|
// dxp1: |-------------|
// c-2 c-1 c x=0 c+1 c+1.5
// |------x------|------x------|------x------|------x------x
//
// Plus reconstruction:
// 1st: o-------------o-----> <-----o
// 2nd: o-----> <-----o------o
// 3rd: o-------------o-------------o----->
// 4th: does not exist
//
// Minus reconstruction:
// 1st: o-----> <-----o------o
// 2nd: o-------------o-----> <-----o
// 3rd: does not exist
// 4th: o-------------o-------------o-----> <-----o
#define Rm2_S_Cp { -2, -1, 1, 2, 2}
#define Rm2_S_Recon_Plus { \
0.0, -1.0/6.0, 5.0/6.0, 2.0/6.0, 0.0, 0.0, \
0.0, 0.0, 1.0/4.0, 5.0/4.0, -2.0/4.0, 0.0, \
2.0/6.0, -7.0/6.0, 11.0/6.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define Rm2_S_Recon_Minus { \
0.0, 0.0, 1.0/4.0, 5.0/4.0, -2.0/4.0, 0.0, \
0.0, -1.0/6.0, 5.0/6.0, 2.0/6.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
1.0/12.0, -5.0/12.0, 13.0/12.0, 3.0/12.0, 0.0, 0.0}
#define Rm2_S_Coeffs_Plus {7.0/16.0, 8.0/16.0, 1.0/16.0, 0.0 }
#define Rm2_S_Coeffs_Minus {2.0/4.0, 1.0/4.0, 0.0, 1.0/4.0}
//local Rm2_S_Recon = terralib.newlist({0.0, 0.0, 0.0, 0.0, 0.0, 0.0})
//for i=1,6 do
// for St =1,nStencils do
// Rm2_S_Recon[i] = Rm2_S_Recon[i] + Rm2_S_Recon_Plus[(St-1)*6+i]*Rm2_S_Coeffs_Plus[St]
// end
//end
#define Rm2_S_KennedyOrder 1 // Second-order
#define Rm2_S_KennedyCoeff {0.5, 0.0, 0.0}
// dxm2: |-----------------------------------------|
// dxm1: |---------------------------|
// dx: |-------------|
// dxp1: |-------------|
// dxp2: |---------------------------|
// c-2 c-1 c x=0 c+1 c+2 c+2.5
// |------x------|------x------|------x------|------x------|------x------x
//
// Plus reconstruction:
// 1st: o-------------o-----> <-----o
// 2nd: o-----> <-----o-------------o
// 3rd: o-------------o-------------o----->
// 4th: o-----> <-----o-------------o------o
//
// Minus reconstruction:
// 1st: o-----> <-----o-------------o
// 2nd: o-------------o-----> <-----o
// 3rd: <-----o-------------o------o
// 4th: o-------------o-------------o-----> <-----o
#define Rm3_S_Cp { -2, -1, 1, 2, 3}
#define Rm3_S_Recon_Plus { \
0.0, -1.0/6.0, 5.0/6.0, 2.0/6.0, 0.0, 0.0, \
0.0, 0.0, 2.0/6.0, 5.0/6.0, -1.0/6.0, 0.0, \
2.0/6.0, -7.0/6.0, 11.0/6.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 2.0/9.0, 11.0/9.0, -7.0/9.0, 3.0/9.0}
#define Rm3_S_Recon_Minus { \
0.0, 0.0, 2.0/6.0, 5.0/6.0, -1.0/6.0, 0.0, \
0.0, -1.0/6.0, 5.0/6.0, 2.0/6.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 2.0, -2.0, 1.0, \
1.0/12.0, -5.0/12.0, 13.0/12.0, 3.0/12.0, 0.0, 0.0}
#define Rm3_S_Coeffs_Plus {39.0/100.0, 27.0/100.0, 4.0/100.0, 30.0/100.0}
#define Rm3_S_Coeffs_Minus {47.0/100.0, 27.0/100.0, 10.0/100.0, 16.0/100.0}
//local Rm3_S_Recon = terralib.newlist({0.0, 0.0, 0.0, 0.0, 0.0, 0.0})
//for i=1,6 do
// for St =1,nStencils do
// Rm3_S_Recon[i] = Rm3_S_Recon[i] + Rm3_S_Recon_Plus[(St-1)*6+i]*Rm3_S_Coeffs_Plus[St]
// end
//end
#define Rm3_S_KennedyOrder 2 // Fourth-order
#define Rm3_S_KennedyCoeff {2.0/3.0, -1.0/12.0, 0.0}
//-----------------------------------------------------------------------------
// COLLOCATED RIGHT BC
//-----------------------------------------------------------------------------
#define R_C_Cp {-1, -1, 0, 0, 0}
#define R_C_Recon_Plus { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define R_C_Recon_Minus { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define R_C_Coeffs_Plus {0.0, 0.0, 0.0, 0.0}
#define R_C_Coeffs_Minus {0.0, 0.0, 0.0, 0.0}
//local R_C_Recon = terralib.newlist({0.0, 0.0, 0.0, 0.0, 0.0, 0.0})
#define R_C_KennedyOrder 0 // Zero-order
#define R_C_KennedyCoeff {0.0, 0.0, 0.0}
// dxm2: |-----------------------------------------|
// dxm1: |---------------------------|
// dx: |-------------|
// dxp1: |-------------|
// c-2 c-1 c x=0 c+1
// |------x------|------x------|------x------|------x------|
//
// Plus reconstruction:
// 1st: o----->
// 2nd: does not exist
// 3rd: does not exist
// 4th: does not exist
//
// Minus reconstruction:
// 1st: <-----o
// 2nd: does not exist
// 3rd: does not exist
// 4th: does not exist
#define Rm1_C_Cp { -1, -1, 1, 1, 1}
#define Rm1_C_Recon_Plus {0.0, 0.0, 1.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define Rm1_C_Recon_Minus {0.0, 0.0, 0.0, 1.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define Rm1_C_Coeffs_Plus {1.0, 0.0, 0.0, 0.0}
#define Rm1_C_Coeffs_Minus {1.0, 0.0, 0.0, 0.0}
//local Rm1_C_Recon = terralib.newlist({0.0, 0.0, 0.5, 0.5, 0.0, 0.0})
#define Rm1_C_KennedyOrder 1 // Second-order
#define Rm1_C_KennedyCoeff {0.5, 0.0, 0.0}
// dxm2: |-----------------------------------------|
// dxm1: |---------------------------|
// dx: |-------------|
// dxp1: |-------------|
// dxp2: |---------------------------|
// c-2 c-1 c x=0 c+1 c+2
// |------x------|------x------|------x------|------x------|------x------|
//
// Plus reconstruction:
// 1st: o-------------o-----> <-----o
// 2nd: o-----> <-----o-------------o
// 3rd: does not exist
// 4th: does not exist
//
// Minus reconstruction:
// 1st: o-----> <-----o-------------o
// 2nd: o-------------o-----> <-----o
// 3rd: does not exist
// 4th: does not exist
#define Rm2_C_Cp { -1, -1, 1, 2, 2}
#define Rm2_C_Recon_Plus { \
0.0, -1.0/6.0, 5.0/6.0, 2.0/6.0, 0.0, 0.0, \
0.0, 0.0, 2.0/6.0, 5.0/6.0, -1.0/6.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define Rm2_C_Recon_Minus { \
0.0, 0.0, 2.0/6.0, 5.0/6.0, -1.0/6.0, 0.0, \
0.0, -1.0/6.0, 5.0/6.0, 2.0/6.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, \
0.0, 0.0, 0.0, 0.0, 0.0, 0.0}
#define Rm2_C_Coeffs_Plus {1.0/2.0, 1.0/2.0, 0.0, 0.0}
#define Rm2_C_Coeffs_Minus {1.0/2.0, 1.0/2.0, 0.0, 0.0}
//local Rm2_C_Recon = terralib.newlist({0.0, 0.0, 0.0, 0.0, 0.0, 0.0})
//for i=1,6 do
// for St =1,nStencils do
// Rm2_C_Recon[i] = Rm2_C_Recon[i] + Rm2_C_Recon_Plus[(St-1)*6+i]*Rm2_C_Coeffs_Plus[St]
// end
//end
#define Rm2_C_KennedyOrder 2 // Fourth-order
#define Rm2_C_KennedyCoeff {2.0/3.0, -1.0/12.0, 0.0}
#endif // __PROMETEO_METRIC_COEFFS_MACROS_H__