lib/cotangent_hyperbolic.c


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// Hyperbolic Cotangent
//
// cotangent_hyperbolic - coth
//
// f( x ) = coth( x )
//        = 1 / tanh( x )
//        = cosh( x ) / sinh( x )
//        = ( e^2x + 1 ) / ( e^2x - 1 )
//
// X_n - 1
// Y_n - 1
// C_n - 0


#include <math.h>
#include "ts.h"


ts_parameter_t const ts_cotangent_hyperbolic_p = { .n_inputs = 1, .n_outputs = 1, .n_constants = 0, .params_size = 0 };


uint_t ts_cotangent_hyperbolic_offset( ts_constant_t const *c )
{
	( void )c;
	return ( 0 );
}

int ts_cotangent_hyperbolic(
	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_cotangent_hyperbolic_p );
	(void)c;
	for( uint_t i = 0; i < n; ++i )
	{
		fp_t t = tanh( x[0][i] );
		y[0][i] = ( fabs( t ) > 1e-15 ) ? _ts_reciprocal( t ) : ( t > 0 ? (fp_t)INFINITY : (fp_t)-INFINITY );
	}
	return 0;
}