mirror of
https://github.com/f4exb/sdrangel.git
synced 2024-11-28 18:58:48 -05:00
378 lines
11 KiB
C++
378 lines
11 KiB
C++
/* lmath.c
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This file is part of a program that implements a Software-Defined Radio.
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Copyright (C) 2015, 2016, 2023 Warren Pratt, NR0V
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Copyright (C) 2024 Edouard Griffiths, F4EXB Adapted to SDRangel
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This program is free software; you can redistribute it and/or
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modify it under the terms of the GNU General Public License
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as published by the Free Software Foundation; either version 2
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of the License, or (at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program; if not, write to the Free Software
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Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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The author can be reached by email at
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warren@wpratt.com
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*/
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#include "comm.hpp"
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#include "bldr.hpp"
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namespace WDSP {
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BLDR::BLDR(int points, int ints)
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{
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// for the create function, 'points' and 'ints' are the MAXIMUM values that will be encountered
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catxy = new double[2 * points];
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sx.resize(points);
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sy.resize(points);
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h .resize(ints);
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p.resize(ints);
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np.resize(ints);
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taa.resize(ints);
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tab.resize(ints);
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tag.resize(ints);
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tad.resize(ints);
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tbb.resize(ints);
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tbg.resize(ints);
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tbd.resize(ints);
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tgg.resize(ints);
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tgd.resize(ints);
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tdd.resize(ints);
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int nsize = 3 * ints + 1;
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int intp1 = ints + 1;
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int intm1 = ints - 1;
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A .resize(intp1 * intp1);
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B .resize(intp1 * intp1);
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C .resize(intp1 * intp1);
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D .resize(intp1);
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E .resize(intp1 * intp1);
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F .resize(intm1 * intp1);
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G .resize(intp1);
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MAT.resize(nsize * nsize);
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RHS.resize(nsize);
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SLN.resize(nsize);
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z .resize(intp1);
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zp.resize(intp1);
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wrk.resize(nsize);
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ipiv.resize(nsize);
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}
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BLDR::~BLDR()
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{
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delete[]catxy;
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}
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void BLDR::flush(int points)
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{
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memset(catxy, 0, 2 * points * sizeof(double));
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std::fill(sx.begin(), sx.end(), 0);
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std::fill(sy.begin(), sy.end(), 0);
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std::fill(h.begin(), h.end(), 0);
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std::fill(p.begin(), p.end(), 0);
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std::fill(np.begin(), np.end(), 0);
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std::fill(taa.begin(), taa.end(), 0);
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std::fill(tab.begin(), tab.end(), 0);
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std::fill(tag.begin(), tag.end(), 0);
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std::fill(tad.begin(), tad.end(), 0);
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std::fill(tbb.begin(), tbb.end(), 0);
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std::fill(tbg.begin(), tbg.end(), 0);
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std::fill(tbd.begin(), tbd.end(), 0);
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std::fill(tgg.begin(), tgg.end(), 0);
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std::fill(tgd.begin(), tgd.end(), 0);
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std::fill(tdd.begin(), tdd.end(), 0);
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std::fill(A.begin(), A.end(), 0);
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std::fill(B.begin(), B.end(), 0);
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std::fill(C.begin(), C.end(), 0);
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std::fill(D.begin(), D.end(), 0);
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std::fill(E.begin(), E.end(), 0);
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std::fill(F.begin(), F.end(), 0);
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std::fill(G.begin(), G.end(), 0);
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std::fill(MAT.begin(), MAT.end(), 0);
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std::fill(RHS.begin(), RHS.end(), 0);
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std::fill(SLN.begin(), SLN.end(), 0);
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std::fill(z.begin(), z.end(), 0);
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std::fill(zp.begin(), zp.end(), 0);
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std::fill(wrk.begin(), wrk.end(), 0);
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std::fill(ipiv.begin(), ipiv.end(), 0);
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}
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int BLDR::fcompare(const void* a, const void* b)
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{
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if (*(double*)a < *(double*)b)
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return -1;
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else if (*(double*)a == *(double*)b)
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return 0;
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else
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return 1;
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}
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void BLDR::decomp(int n, std::vector<double>& a, std::vector<int>& piv, int* info, std::vector<double>& wrk)
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{
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int i;
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int j;
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int t_piv;
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double m_row;
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double mt_row;
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double m_col;
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double mt_col;
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*info = 0;
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for (i = 0; i < n; i++)
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{
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piv[i] = i;
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m_row = 0.0;
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for (j = 0; j < n; j++)
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{
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mt_row = a[n * i + j];
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if (mt_row < 0.0) mt_row = -mt_row;
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if (mt_row > m_row) m_row = mt_row;
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}
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if (m_row == 0.0)
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{
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*info = i;
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goto cleanup;
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}
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wrk[i] = m_row;
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}
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for (int k = 0; k < n - 1; k++)
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{
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j = k;
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m_col = a[n * piv[k] + k] / wrk[piv[k]];
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if (m_col < 0) m_col = -m_col;
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for (i = k + 1; i < n; i++)
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{
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mt_col = a[n * piv[i] + k] / wrk[piv[k]];
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if (mt_col < 0.0) mt_col = -mt_col;
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if (mt_col > m_col)
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{
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m_col = mt_col;
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j = i;
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}
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}
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if (m_col == 0)
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{
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*info = -k;
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goto cleanup;
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}
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t_piv = piv[k];
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piv[k] = piv[j];
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piv[j] = t_piv;
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for (i = k + 1; i < n; i++)
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{
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a[n * piv[i] + k] /= a[n * piv[k] + k];
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for (j = k + 1; j < n; j++)
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a[n * piv[i] + j] -= a[n * piv[i] + k] * a[n * piv[k] + j];
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}
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}
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if (a[n * n - 1] == 0.0)
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*info = -n;
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cleanup:
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return;
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}
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void BLDR::dsolve(int n, std::vector<double>& a, std::vector<int>& piv, std::vector<double>& b, std::vector<double>& x)
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{
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int j;
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int k;
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double sum;
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for (k = 0; k < n; k++)
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{
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sum = 0.0;
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for (j = 0; j < k; j++)
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sum += a[n * piv[k] + j] * x[j];
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x[k] = b[piv[k]] - sum;
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}
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for (k = n - 1; k >= 0; k--)
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{
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sum = 0.0;
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for (j = k + 1; j < n; j++)
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sum += a[n * piv[k] + j] * x[j];
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x[k] = (x[k] - sum) / a[n * piv[k] + k];
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}
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}
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void BLDR::cull(int* n, int ints, std::vector<double>& x, const double* t, double ptol)
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{
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int k = 0;
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int i = *n;
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int ntopint;
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int npx;
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while (x[i - 1] > t[ints - 1])
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i--;
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ntopint = *n - i;
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npx = (int)(ntopint * (1.0 - ptol));
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i = *n;
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while ((k < npx) && (x[--i] > t[ints]))
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k++;
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*n -= k;
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}
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void BLDR::execute(int points, const double* x, const double* y, int ints, const double* t, int* info, double* c, double ptol)
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{
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double u;
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double v;
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double alpha;
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double beta;
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double gamma;
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double delta;
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int nsize = 3 * ints + 1;
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int intp1 = ints + 1;
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int intm1 = ints - 1;
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int i;
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int j;
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int k;
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int m;
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int dinfo;
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flush(points);
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for (i = 0; i < points; i++)
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{
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catxy[2 * i + 0] = x[i];
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catxy[2 * i + 1] = y[i];
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}
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qsort(catxy, points, 2 * sizeof(double), fcompare);
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for (i = 0; i < points; i++)
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{
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sx[i] = catxy[2 * i + 0];
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sy[i] = catxy[2 * i + 1];
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}
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cull(&points, ints, sx, t, ptol);
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if (points <= 0 || sx[points - 1] > t[ints])
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{
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*info = -1000;
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goto cleanup;
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}
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else *info = 0;
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for (j = 0; j < ints; j++)
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h[j] = t[j + 1] - t[j];
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p[0] = 0;
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j = 0;
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for (i = 0; i < points; i++)
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{
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if (sx[i] <= t[j + 1])
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np[j]++;
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else
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{
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p[++j] = i;
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while (sx[i] > t[j + 1])
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p[++j] = i;
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np[j] = 1;
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}
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}
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for (i = 0; i < ints; i++)
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for (j = p[i]; j < p[i] + np[i]; j++)
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{
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u = (sx[j] - t[i]) / h[i];
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v = u - 1.0;
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alpha = (2.0 * u + 1.0) * v * v;
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beta = u * u * (1.0 - 2.0 * v);
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gamma = h[i] * u * v * v;
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delta = h[i] * u * u * v;
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taa[i] += alpha * alpha;
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tab[i] += alpha * beta;
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tag[i] += alpha * gamma;
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tad[i] += alpha * delta;
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tbb[i] += beta * beta;
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tbg[i] += beta * gamma;
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tbd[i] += beta * delta;
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tgg[i] += gamma * gamma;
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tgd[i] += gamma * delta;
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tdd[i] += delta * delta;
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D[i + 0] += 2.0 * sy[j] * alpha;
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D[i + 1] += 2.0 * sy[j] * beta;
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G[i + 0] += 2.0 * sy[j] * gamma;
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G[i + 1] += 2.0 * sy[j] * delta;
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}
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for (i = 0; i < ints; i++)
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{
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A[(i + 0) * intp1 + (i + 0)] += 2.0 * taa[i];
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A[(i + 1) * intp1 + (i + 1)] = 2.0 * tbb[i];
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A[(i + 0) * intp1 + (i + 1)] = 2.0 * tab[i];
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A[(i + 1) * intp1 + (i + 0)] = 2.0 * tab[i];
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B[(i + 0) * intp1 + (i + 0)] += 2.0 * tag[i];
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B[(i + 1) * intp1 + (i + 1)] = 2.0 * tbd[i];
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B[(i + 0) * intp1 + (i + 1)] = 2.0 * tbg[i];
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B[(i + 1) * intp1 + (i + 0)] = 2.0 * tad[i];
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E[(i + 0) * intp1 + (i + 0)] += 2.0 * tgg[i];
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E[(i + 1) * intp1 + (i + 1)] = 2.0 * tdd[i];
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E[(i + 0) * intp1 + (i + 1)] = 2.0 * tgd[i];
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E[(i + 1) * intp1 + (i + 0)] = 2.0 * tgd[i];
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}
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for (i = 0; i < intm1; i++)
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{
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C[i * intp1 + (i + 0)] = +3.0 * h[i + 1] / h[i];
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C[i * intp1 + (i + 2)] = -3.0 * h[i] / h[i + 1];
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C[i * intp1 + (i + 1)] = -C[i * intp1 + (i + 0)] - C[i * intp1 + (i + 2)];
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F[i * intp1 + (i + 0)] = h[i + 1];
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F[i * intp1 + (i + 1)] = 2.0 * (h[i] + h[i + 1]);
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F[i * intp1 + (i + 2)] = h[i];
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}
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for (i = 0, k = 0; i < intp1; i++, k++)
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{
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for (j = 0, m = 0; j < intp1; j++, m++)
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MAT[k * nsize + m] = A[i * intp1 + j];
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for (j = 0, m = intp1; j < intp1; j++, m++)
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MAT[k * nsize + m] = B[j * intp1 + i];
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for (j = 0, m = 2 * intp1; j < intm1; j++, m++)
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MAT[k * nsize + m] = C[j * intp1 + i];
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RHS[k] = D[i];
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}
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for (i = 0, k = intp1; i < intp1; i++, k++)
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{
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for (j = 0, m = 0; j < intp1; j++, m++)
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MAT[k * nsize + m] = B[i * intp1 + j];
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for (j = 0, m = intp1; j < intp1; j++, m++)
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MAT[k * nsize + m] = E[i * intp1 + j];
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for (j = 0, m = 2 * intp1; j < intm1; j++, m++)
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MAT[k * nsize + m] = F[j * intp1 + i];
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RHS[k] = G[i];
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}
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for (i = 0, k = 2 * intp1; i < intm1; i++, k++)
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{
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for (j = 0, m = 0; j < intp1; j++, m++)
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MAT[k * nsize + m] = C[i * intp1 + j];
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for (j = 0, m = intp1; j < intp1; j++, m++)
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MAT[k * nsize + m] = F[i * intp1 + j];
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for (j = 0, m = 2 * intp1; j < intm1; j++, m++)
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MAT[k * nsize + m] = 0.0;
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RHS[k] = 0.0;
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}
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decomp(nsize, MAT, ipiv, &dinfo, wrk);
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dsolve(nsize, MAT, ipiv, RHS, SLN);
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if (dinfo != 0)
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{
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*info = dinfo;
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goto cleanup;
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}
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for (i = 0; i <= ints; i++)
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{
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z[i] = SLN[i];
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zp[i] = SLN[i + ints + 1];
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}
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for (i = 0; i < ints; i++)
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{
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c[4 * i + 0] = z[i];
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c[4 * i + 1] = zp[i];
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c[4 * i + 2] = -3.0 / (h[i] * h[i]) * (z[i] - z[i + 1]) - 1.0 / h[i] * (2.0 * zp[i] + zp[i + 1]);
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c[4 * i + 3] = 2.0 / (h[i] * h[i] * h[i]) * (z[i] - z[i + 1]) + 1.0 / (h[i] * h[i]) * (zp[i] + zp[i + 1]);
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}
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cleanup:
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return;
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}
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} // namespace WDSP
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