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// Inverse Hyperbolic Secant
//
// secant_hyperbolic_inverse - asech
//
// f( x ) = asech( x )
// = ln( ( 1 / x ) + √( ( 1 / x^2 ) - 1 ) ) 0 < x ≤ 1
//
// X_n - 1
// Y_n - 1
// C_n - 0
#include <math.h>
#include "ts.h"
ts_parameter_t const ts_secant_hyperbolic_inverse_p = { .n_inputs = 1, .n_outputs = 1, .n_constants = 0, .params_size = 0 };
uint_t ts_secant_hyperbolic_inverse_offset( ts_constant_t const *c )
{
( void )c;
return ( 0 );
}
int ts_secant_hyperbolic_inverse(
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_secant_hyperbolic_inverse_p );
(void)c;
for( uint_t i = 0; i < n; ++i )
{
fp_t xi = x[0][i];
y[0][i] = ( xi > 0 && xi <= 1.0 ) ? acosh( _ts_reciprocal( xi ) ) : 0;
}
return 0;
}
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