📄 tricoef.cc
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//// tricoef.cc//// Copyright (C) 1996 Limit Point Systems, Inc.//// Author: Curtis Janssen <cljanss@limitpt.com>// Maintainer: LPS//// This file is part of the SC Toolkit.//// The SC Toolkit is free software; you can redistribute it and/or modify// it under the terms of the GNU Library General Public License as published by// the Free Software Foundation; either version 2, or (at your option)// any later version.//// The SC Toolkit is distributed in the hope that it will be useful,// but WITHOUT ANY WARRANTY; without even the implied warranty of// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the// GNU Library General Public License for more details.//// You should have received a copy of the GNU Library General Public License// along with the SC Toolkit; see the file COPYING.LIB. If not, write to// the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.//// The U.S. Government is granted a limited license as per AL 91-7.//#ifdef __GNUC__#pragma implementation#endif#include <math/isosurf/triangle.h>#include <math/isosurf/tricoef.h>using namespace sc;/////////////////////////////////////////////////////////////////////////// Utility functionsstatic inline voidinit_coef_deriv(double L, int order, double *Lcoef, double *Lcoefderiv){ int i; Lcoef[0] = 1.0; Lcoefderiv[0] = 0.0; double spacing = 1.0/order; for (i=1; i<=order; i++) { Lcoef[i] = Lcoef[i-1] * (L - (i-1)*spacing)/(i*spacing); Lcoefderiv[i] = Lcoefderiv[i-1] * (L - (i-1)*spacing)/(i*spacing) + Lcoef[i-1]/(i*spacing); }}/////////////////////////////////////////////////////////////////////////// The TriInterpCoef Utility ClassTriInterpCoef::TriInterpCoef(const TriInterpCoefKey& key){ int i,j,k; int order = key.order(); double L1 = key.L1(); double L2 = key.L2(); double L3 = key.L3(); int n = order_to_nvertex(order); coef_ = new double[n]; rderiv_ = new double[n]; sderiv_ = new double[n]; double L1coef[Triangle::max_order+1]; double L2coef[Triangle::max_order+1]; double L3coef[Triangle::max_order+1]; double L1coefderiv[Triangle::max_order+1]; double L2coefderiv[Triangle::max_order+1]; double L3coefderiv[Triangle::max_order+1]; init_coef_deriv(L1, order, L1coef, L1coefderiv); init_coef_deriv(L2, order, L2coef, L2coefderiv); init_coef_deriv(L3, order, L3coef, L3coefderiv); // the r derivatives double L1coef_r[Triangle::max_order+1]; double L2coef_r[Triangle::max_order+1]; double L3coef_r[Triangle::max_order+1]; // the s derivatives double L1coef_s[Triangle::max_order+1]; double L2coef_s[Triangle::max_order+1]; double L3coef_s[Triangle::max_order+1]; // convert into r and s derivatives for (i=0; i<=order; i++) { L1coef_r[i] = -L1coefderiv[i]; L1coef_s[i] = -L1coefderiv[i]; L2coef_r[i] = L2coefderiv[i]; L2coef_s[i] = 0.0; L3coef_r[i] = 0.0; L3coef_s[i] = L3coefderiv[i]; } for (i=0; i<=order; i++) { for (j=0; j <= order-i; j++) { k = order - i - j; coef(i,j,k) = L1coef[i]*L2coef[j]*L3coef[k]; sderiv(i,j,k) = L1coef_s[i]*L2coef[j]*L3coef[k] +L1coef[i]*L2coef_s[j]*L3coef[k] +L1coef[i]*L2coef[j]*L3coef_s[k]; rderiv(i,j,k) = L1coef_r[i]*L2coef[j]*L3coef[k] +L1coef[i]*L2coef_r[j]*L3coef[k] +L1coef[i]*L2coef[j]*L3coef_r[k]; } }}TriInterpCoef::~TriInterpCoef(){ delete[] coef_; delete[] rderiv_; delete[] sderiv_;}/////////////////////////////////////////////////////////////////////////////// Local Variables:// mode: c++// c-file-style: "CLJ"// End:
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