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Diffstat (limited to 'gsl-1.9/statistics/lag1_source.c')
-rw-r--r-- | gsl-1.9/statistics/lag1_source.c | 51 |
1 files changed, 51 insertions, 0 deletions
diff --git a/gsl-1.9/statistics/lag1_source.c b/gsl-1.9/statistics/lag1_source.c new file mode 100644 index 0000000..117e6d8 --- /dev/null +++ b/gsl-1.9/statistics/lag1_source.c @@ -0,0 +1,51 @@ +/* statistics/lag1_source.c + * + * Copyright (C) 1996, 1997, 1998, 1999, 2000 Jim Davies, Brian Gough + * + * This program is free software; you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation; either version 2 of the License, or (at + * your option) any later version. + * + * This program 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 + * General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. + */ + + +double +FUNCTION(gsl_stats,lag1_autocorrelation) (const BASE data[], const size_t stride, const size_t n) +{ + const double mean = FUNCTION(gsl_stats,mean) (data, stride, n); + return FUNCTION(gsl_stats,lag1_autocorrelation_m)(data, stride, n, mean); +} + +double +FUNCTION(gsl_stats,lag1_autocorrelation_m) (const BASE data[], const size_t stride, const size_t size, const double mean) +{ + /* Compute the lag-1 autocorrelation of a dataset using the + recurrence relation */ + + size_t i; + + long double r1 ; + long double q = 0 ; + long double v = (data[0 * stride] - mean) * (data[0 * stride] - mean) ; + + for (i = 1; i < size ; i++) + { + const long double delta0 = (data[(i-1) * stride] - mean); + const long double delta1 = (data[i * stride] - mean); + q += (delta0 * delta1 - q)/(i + 1); + v += (delta1 * delta1 - v)/(i + 1); + } + + r1 = q / v ; + + return r1; +} |