diff options
Diffstat (limited to 'lib/standard_error.c')
| -rw-r--r-- | lib/standard_error.c | 67 |
1 files changed, 67 insertions, 0 deletions
diff --git a/lib/standard_error.c b/lib/standard_error.c new file mode 100644 index 0000000..9b0ac3b --- /dev/null +++ b/lib/standard_error.c @@ -0,0 +1,67 @@ +// Standard Error +// +// standard_error +// +// Standard Error of the Mean +// +// +// +// Inputs: 1 +// Outputs: 1 +// Constants: 1 + + +#include <math.h> +#include "ts.h" + +typedef struct { + uint_t k; +} ts_standard_error_params_t; + +ts_parameter_t const ts_standard_error_p = { .n_inputs = 1, .n_outputs = 1, .n_constants = 1, .params_size = sizeof(ts_standard_error_params_t) }; + +uint_t ts_standard_error_offset( ts_constant_t const *c ) +{ + ( void )c; + return ( c ? ((ts_standard_error_params_t *)c)->k > 0 ? ((ts_standard_error_params_t *)c)->k - 1 : 0 : 0 ); +} + +int ts_standard_error( + fp_t * const *y, uint_t y_n, + fp_t const * const *x, uint_t x_n, + uint_t n, ts_constant_t const *c +) +{ + TS_PROLOGUE( ts_standard_error_p ); + if ( !c ) return -1; + uint_t k = ((ts_standard_error_params_t *)c)->k; + if (k < 2) return -1; + + for( uint_t i = k - 1; i < n; ++i ) + { + fp_t sum_x = 0, sum_y = 0, sum_xy = 0, sum_x2 = 0, sum_y2 = 0; + for( uint_t j = 0; j < k; ++j ) + { + fp_t xv = (fp_t)j; + fp_t yv = x[0][i - k + 1 + j]; + sum_x += xv; + sum_y += yv; + sum_xy += xv * yv; + sum_x2 += xv * xv; + sum_y2 += yv * yv; + } + fp_t nk = (fp_t)k; + fp_t denom = nk * sum_x2 - sum_x * sum_x; + if( denom == 0 ) + { + y[0][i] = 0; + } + else + { + fp_t ss_res = sum_y2 - (sum_y * sum_y) / nk - ((nk * sum_xy - sum_x * sum_y) * (nk * sum_xy - sum_x * sum_y)) / (nk * denom); + y[0][i] = ss_res > 0 ? sqrt( ss_res / (nk - 2) ) : 0; + } + } + return 0; +} + |