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-rw-r--r--lib/catalan.c54
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;
+}
+
+
+