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// Harmonic Number
//
// harmonic
//
// Harmonic number H(n) = Σ(1/k) for k=1..n
//
// H(n) = 1 + 1/2 + 1/3 + ... + 1/n
//
// Inputs: 1
// Outputs: 1
// Constants: 0
#include <math.h>
#include "ts.h"
ts_parameter_t const ts_harmonic_p = { .n_inputs = 1, .n_outputs = 1, .n_constants = 0, .params_size = 0 };
uint_t ts_harmonic_offset( ts_constant_t const *c )
{
( void )c;
return ( 0 );
}
int ts_harmonic(
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_harmonic_p );
(void)c;
for( uint_t i = 0; i < n; ++i )
{
if (x[0][i] < 0) { y[0][i] = NAN; continue; }
uint_t n_val = (uint_t)x[0][i];
if (n_val > 10000000) n_val = 10000000;
fp_t sum = 0.0;
for( uint_t k = 1; k <= n_val; ++k )
{
sum += 1.0 / (fp_t)k;
}
y[0][i] = sum;
}
return 0;
}
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