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/* permutation/test.c
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*
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* Copyright (C) 2000, 2007 Brian Gough
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 3 of the License, or (at
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* your option) any later version.
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*
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* This program is distributed in the hope that it will be useful, but
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* WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* General Public License for more details.
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*
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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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*/
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#include <config.h>
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#include <stdlib.h>
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#include <stdio.h>
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#include <math.h>
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#include <gsl/gsl_permutation.h>
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#include <gsl/gsl_permute_double.h>
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#include <gsl/gsl_test.h>
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#include <gsl/gsl_ieee_utils.h>
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unsigned int p5[120][5] = {
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{0, 1, 2, 3, 4}, {0, 1, 2, 4, 3}, {0, 1, 3, 2, 4}, {0, 1, 3, 4, 2},
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{0, 1, 4, 2, 3}, {0, 1, 4, 3, 2}, {0, 2, 1, 3, 4}, {0, 2, 1, 4, 3},
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{0, 2, 3, 1, 4}, {0, 2, 3, 4, 1}, {0, 2, 4, 1, 3}, {0, 2, 4, 3, 1},
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{0, 3, 1, 2, 4}, {0, 3, 1, 4, 2}, {0, 3, 2, 1, 4}, {0, 3, 2, 4, 1},
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{0, 3, 4, 1, 2}, {0, 3, 4, 2, 1}, {0, 4, 1, 2, 3}, {0, 4, 1, 3, 2},
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{0, 4, 2, 1, 3}, {0, 4, 2, 3, 1}, {0, 4, 3, 1, 2}, {0, 4, 3, 2, 1},
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{1, 0, 2, 3, 4}, {1, 0, 2, 4, 3}, {1, 0, 3, 2, 4}, {1, 0, 3, 4, 2},
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{1, 0, 4, 2, 3}, {1, 0, 4, 3, 2}, {1, 2, 0, 3, 4}, {1, 2, 0, 4, 3},
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{1, 2, 3, 0, 4}, {1, 2, 3, 4, 0}, {1, 2, 4, 0, 3}, {1, 2, 4, 3, 0},
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{1, 3, 0, 2, 4}, {1, 3, 0, 4, 2}, {1, 3, 2, 0, 4}, {1, 3, 2, 4, 0},
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{1, 3, 4, 0, 2}, {1, 3, 4, 2, 0}, {1, 4, 0, 2, 3}, {1, 4, 0, 3, 2},
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{1, 4, 2, 0, 3}, {1, 4, 2, 3, 0}, {1, 4, 3, 0, 2}, {1, 4, 3, 2, 0},
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{2, 0, 1, 3, 4}, {2, 0, 1, 4, 3}, {2, 0, 3, 1, 4}, {2, 0, 3, 4, 1},
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{2, 0, 4, 1, 3}, {2, 0, 4, 3, 1}, {2, 1, 0, 3, 4}, {2, 1, 0, 4, 3},
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{2, 1, 3, 0, 4}, {2, 1, 3, 4, 0}, {2, 1, 4, 0, 3}, {2, 1, 4, 3, 0},
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{2, 3, 0, 1, 4}, {2, 3, 0, 4, 1}, {2, 3, 1, 0, 4}, {2, 3, 1, 4, 0},
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{2, 3, 4, 0, 1}, {2, 3, 4, 1, 0}, {2, 4, 0, 1, 3}, {2, 4, 0, 3, 1},
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{2, 4, 1, 0, 3}, {2, 4, 1, 3, 0}, {2, 4, 3, 0, 1}, {2, 4, 3, 1, 0},
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{3, 0, 1, 2, 4}, {3, 0, 1, 4, 2}, {3, 0, 2, 1, 4}, {3, 0, 2, 4, 1},
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{3, 0, 4, 1, 2}, {3, 0, 4, 2, 1}, {3, 1, 0, 2, 4}, {3, 1, 0, 4, 2},
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{3, 1, 2, 0, 4}, {3, 1, 2, 4, 0}, {3, 1, 4, 0, 2}, {3, 1, 4, 2, 0},
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{3, 2, 0, 1, 4}, {3, 2, 0, 4, 1}, {3, 2, 1, 0, 4}, {3, 2, 1, 4, 0},
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{3, 2, 4, 0, 1}, {3, 2, 4, 1, 0}, {3, 4, 0, 1, 2}, {3, 4, 0, 2, 1},
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{3, 4, 1, 0, 2}, {3, 4, 1, 2, 0}, {3, 4, 2, 0, 1}, {3, 4, 2, 1, 0},
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{4, 0, 1, 2, 3}, {4, 0, 1, 3, 2}, {4, 0, 2, 1, 3}, {4, 0, 2, 3, 1},
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{4, 0, 3, 1, 2}, {4, 0, 3, 2, 1}, {4, 1, 0, 2, 3}, {4, 1, 0, 3, 2},
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{4, 1, 2, 0, 3}, {4, 1, 2, 3, 0}, {4, 1, 3, 0, 2}, {4, 1, 3, 2, 0},
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{4, 2, 0, 1, 3}, {4, 2, 0, 3, 1}, {4, 2, 1, 0, 3}, {4, 2, 1, 3, 0},
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{4, 2, 3, 0, 1}, {4, 2, 3, 1, 0}, {4, 3, 0, 1, 2}, {4, 3, 0, 2, 1},
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{4, 3, 1, 0, 2}, {4, 3, 1, 2, 0}, {4, 3, 2, 0, 1}, {4, 3, 2, 1, 0}
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} ;
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unsigned int c5[120][5] = {
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{4, 3, 2, 1, 0}, {3, 4, 2, 1, 0}, {4, 2, 3, 1, 0}, {2, 3, 4, 1, 0},
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{2, 4, 3, 1, 0}, {3, 2, 4, 1, 0}, {4, 3, 1, 2, 0}, {3, 4, 1, 2, 0},
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{4, 1, 2, 3, 0}, {1, 2, 3, 4, 0}, {1, 2, 4, 3, 0}, {3, 1, 2, 4, 0},
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{4, 1, 3, 2, 0}, {1, 3, 4, 2, 0}, {4, 2, 1, 3, 0}, {2, 1, 3, 4, 0},
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{2, 4, 1, 3, 0}, {1, 3, 2, 4, 0}, {1, 4, 3, 2, 0}, {3, 1, 4, 2, 0},
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{2, 1, 4, 3, 0}, {3, 2, 1, 4, 0}, {1, 4, 2, 3, 0}, {2, 3, 1, 4, 0},
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{4, 3, 2, 0, 1}, {3, 4, 2, 0, 1}, {4, 2, 3, 0, 1}, {2, 3, 4, 0, 1},
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{2, 4, 3, 0, 1}, {3, 2, 4, 0, 1}, {4, 3, 0, 1, 2}, {3, 4, 0, 1, 2},
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{4, 0, 1, 2, 3}, {0, 1, 2, 3, 4}, {0, 1, 2, 4, 3}, {3, 0, 1, 2, 4},
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{4, 0, 1, 3, 2}, {0, 1, 3, 4, 2}, {4, 2, 0, 1, 3}, {2, 0, 1, 3, 4},
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{2, 4, 0, 1, 3}, {0, 1, 3, 2, 4}, {0, 1, 4, 3, 2}, {3, 0, 1, 4, 2},
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{2, 0, 1, 4, 3}, {3, 2, 0, 1, 4}, {0, 1, 4, 2, 3}, {2, 3, 0, 1, 4},
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{4, 3, 0, 2, 1}, {3, 4, 0, 2, 1}, {4, 0, 2, 3, 1}, {0, 2, 3, 4, 1},
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{0, 2, 4, 3, 1}, {3, 0, 2, 4, 1}, {4, 3, 1, 0, 2}, {3, 4, 1, 0, 2},
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{4, 1, 0, 2, 3}, {1, 0, 2, 3, 4}, {1, 0, 2, 4, 3}, {3, 1, 0, 2, 4},
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{4, 1, 3, 0, 2}, {1, 3, 4, 0, 2}, {4, 0, 2, 1, 3}, {0, 2, 1, 3, 4},
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{0, 2, 4, 1, 3}, {1, 3, 0, 2, 4}, {1, 4, 3, 0, 2}, {3, 1, 4, 0, 2},
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{0, 2, 1, 4, 3}, {3, 0, 2, 1, 4}, {1, 4, 0, 2, 3}, {0, 2, 3, 1, 4},
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{4, 0, 3, 2, 1}, {0, 3, 4, 2, 1}, {4, 2, 0, 3, 1}, {2, 0, 3, 4, 1},
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{2, 4, 0, 3, 1}, {0, 3, 2, 4, 1}, {4, 1, 0, 3, 2}, {1, 0, 3, 4, 2},
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{4, 2, 1, 0, 3}, {2, 1, 0, 3, 4}, {2, 4, 1, 0, 3}, {1, 0, 3, 2, 4},
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{4, 0, 3, 1, 2}, {0, 3, 4, 1, 2}, {4, 1, 2, 0, 3}, {1, 2, 0, 3, 4},
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{1, 2, 4, 0, 3}, {0, 3, 1, 2, 4}, {0, 3, 1, 4, 2}, {1, 4, 0, 3, 2},
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{1, 4, 2, 0, 3}, {0, 3, 2, 1, 4}, {2, 1, 4, 0, 3}, {2, 0, 3, 1, 4},
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{0, 4, 3, 2, 1}, {3, 0, 4, 2, 1}, {2, 0, 4, 3, 1}, {3, 2, 0, 4, 1},
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{0, 4, 2, 3, 1}, {2, 3, 0, 4, 1}, {1, 0, 4, 3, 2}, {3, 1, 0, 4, 2},
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{2, 1, 0, 4, 3}, {3, 2, 1, 0, 4}, {1, 0, 4, 2, 3}, {2, 3, 1, 0, 4},
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{0, 4, 3, 1, 2}, {3, 0, 4, 1, 2}, {1, 2, 0, 4, 3}, {3, 1, 2, 0, 4},
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{0, 4, 1, 2, 3}, {1, 2, 3, 0, 4}, {1, 3, 0, 4, 2}, {0, 4, 1, 3, 2},
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{0, 4, 2, 1, 3}, {1, 3, 2, 0, 4}, {2, 0, 4, 1, 3}, {2, 1, 3, 0, 4}
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} ;
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unsigned int cycles[120] = {
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5, 4, 4, 3, 3, 4, 4, 3, 3, 2,
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2, 3, 3, 2, 4, 3, 3, 2, 2, 3,
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3, 4, 2, 3, 4, 3, 3, 2, 2, 3,
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3, 2, 2, 1, 1, 2, 2, 1, 3, 2,
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2, 1, 1, 2, 2, 3, 1, 2, 3, 2,
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2, 1, 1, 2, 4, 3, 3, 2, 2, 3,
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3, 2, 2, 1, 1, 2, 2, 3, 1, 2,
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2, 1, 2, 1, 3, 2, 2, 1, 3, 2,
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4, 3, 3, 2, 2, 1, 3, 2, 2, 1,
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1, 2, 2, 1, 3, 2, 1, 2, 2, 3,
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1, 2, 2, 3, 3, 4, 2, 3, 1, 2,
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2, 3, 1, 2, 2, 1, 1, 2, 2, 3
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} ;
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unsigned int inversions[120] = {
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0, 1, 1, 2, 2, 3, 1, 2, 2, 3,
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3, 4, 2, 3, 3, 4, 4, 5, 3, 4,
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4, 5, 5, 6, 1, 2, 2, 3, 3, 4,
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2, 3, 3, 4, 4, 5, 3, 4, 4, 5,
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5, 6, 4, 5, 5, 6, 6, 7, 2, 3,
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3, 4, 4, 5, 3, 4, 4, 5, 5, 6,
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4, 5, 5, 6, 6, 7, 5, 6, 6, 7,
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7, 8, 3, 4, 4, 5, 5, 6, 4, 5,
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5, 6, 6, 7, 5, 6, 6, 7, 7, 8,
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6, 7, 7, 8, 8, 9, 4, 5, 5, 6,
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6, 7, 5, 6, 6, 7, 7, 8, 6, 7,
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7, 8, 8, 9, 7, 8, 8, 9, 9, 10
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} ;
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int
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main (void)
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{
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gsl_ieee_env_setup ();
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{
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int i = 0, j, status = 0;
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gsl_permutation * p ;
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p = gsl_permutation_alloc (5);
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gsl_permutation_init (p);
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do
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{
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for (j = 0; j < 5; j++)
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{
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status |= (p->data[j] != p5[i][j]);
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}
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i++;
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}
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while (gsl_permutation_next(p) == GSL_SUCCESS);
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gsl_test(status, "gsl_permutation_next, 5-th order permutation, 120 steps");
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do
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{
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i--;
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for (j = 0; j < 5; j++)
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{
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status |= (p->data[j] != p5[i][j]);
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}
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}
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while (gsl_permutation_prev(p) == GSL_SUCCESS);
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gsl_test(status, "gsl_permutation_prev, 5-th order permutation, 120 steps");
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gsl_permutation_free (p);
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}
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#ifdef JUNK
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{
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int i;
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int status = 0 ;
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gsl_permutation * p1 = gsl_permutation_alloc (5);
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gsl_permutation * p2 = gsl_permutation_alloc (5);
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gsl_permutation * p = gsl_permutation_alloc (5);
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double v[5] = { 100.0, 101.0, 102.0, 103.0, 104.0 } ;
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gsl_permutation_init (p1);
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do
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{
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gsl_permutation_init (p2);
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do
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{
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double x[5], y[5];
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/* Compute x= p1 p2 v */
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memcpy (x, v, 5 * sizeof(double));
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gsl_permute (p2->data, x, 1, 5);
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gsl_permute (p1->data, x, 1, 5);
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/* Compute P= p1 p2, y = P v */
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gsl_permutation_mul (p, p1, p2);
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memcpy (y, v, 5 * sizeof(double));
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gsl_permute (p->data, y, 1, 5);
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for (i = 0; i < 5; i++)
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{
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if (x[i] != y[i])
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status = 1;
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}
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if (status == 1)
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break;
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}
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while (gsl_permutation_next(p2) == GSL_SUCCESS);
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if (status == 1)
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break;
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}
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while (gsl_permutation_next(p1) == GSL_SUCCESS);
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gsl_permutation_free (p1);
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gsl_permutation_free (p2);
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gsl_permutation_free (p);
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gsl_test(status, "gsl_permutation_mul, all 5-th order combinations");
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}
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#endif
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/* testing cycles representations */
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{
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int i = 0, j, status = 0;
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gsl_permutation * p = gsl_permutation_alloc (5);
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gsl_permutation * plin = gsl_permutation_alloc (5);
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gsl_permutation * pcan = gsl_permutation_alloc (5);
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gsl_permutation_init (p);
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do
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{
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gsl_permutation_memcpy (plin, p);
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for (j = 0; j < 5; j++)
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{
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pcan->data[j] = 0;
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}
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gsl_permutation_linear_to_canonical (pcan, plin);
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for (j = 0; j < 5; j++)
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{
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status |= (pcan->data[j] != c5[i][j]);
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}
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status |= (gsl_permutation_canonical_cycles (pcan) != cycles[i]);
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status |= (gsl_permutation_linear_cycles (plin) != cycles[i]);
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for (j = 0; j < 5; j++)
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{
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plin->data[j] = 0;
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}
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gsl_permutation_canonical_to_linear (plin, pcan);
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for (j = 0; j < 5; j++)
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{
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status |= (plin->data[j] != p5[i][j]);
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}
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i++;
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}
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while (gsl_permutation_next(p) == GSL_SUCCESS);
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gsl_permutation_free (p);
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gsl_permutation_free (plin);
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gsl_permutation_free (pcan);
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gsl_test (status, "gsl_permutation canonical conversion, 5-th order permutation, 120 steps");
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}
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/* testing number of inversions */
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{
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int i = 0, status = 0;
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gsl_permutation * p = gsl_permutation_alloc (5);
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gsl_permutation_init (p);
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do
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{
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status |= gsl_permutation_inversions (p) != inversions[i];
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i++;
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}
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while (gsl_permutation_next(p) == GSL_SUCCESS);
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gsl_permutation_free (p);
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gsl_test (status, "gsl_permutation_inversions, 5-th order permutation, 120 steps");
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}
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exit (gsl_test_summary());
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}
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|