diff options
Diffstat (limited to 'lib/catalan.c')
| -rw-r--r-- | lib/catalan.c | 54 |
1 files changed, 54 insertions, 0 deletions
diff --git a/lib/catalan.c b/lib/catalan.c new file mode 100644 index 0000000..4a6ed9e --- /dev/null +++ b/lib/catalan.c @@ -0,0 +1,54 @@ +// Catalan Number +// +// catalan - C(n) +// +// nth Catalan number: C(n) = (2n)! / ((n+1)! * n!) +// +// Inputs: 1 (n) +// Outputs: 1 (Catalan number) +// Constants: 0 + +#include <math.h> +#include "ts.h" + + + +ts_parameter_t const ts_catalan_p = { .n_inputs = 1, .n_outputs = 1, .n_constants = 0, .params_size = 0 }; + + +uint_t ts_catalan_offset( ts_constant_t const *c ) +{ + ( void )c; + return ( 0 ); +} + +int ts_catalan( + 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_catalan_p ); + (void)c; + for( uint_t i = 0; i < n; ++i ) + { + fp_t xv = x[0][i]; + if (isnan(xv) || isinf(xv) || xv < 0 || xv != (fp_t)(uint_t)xv) { + y[0][i] = 0; + continue; + } + uint_t n_val = (uint_t)xv; + fp_t result = 1.0; + for( uint_t j = 0; j < n_val; ++j ) + { + result *= (fp_t)(j + n_val + 1); + result /= (fp_t)(j + 1); + } + result /= (fp_t)(n_val + 1); + y[0][i] = result; + } + return 0; +} + + + |