base_oid_from_temporal base_type_byvalue base_type_continuous base_type_length call_function1 call_function2 call_function3 call_function4 call_input call_output call_recv call_send CallerFInfoFunctionCall4 datum2_eq2 datum2_ge2 datum2_gt2 datum2_le2 datum2_lt2 datum2_ne2 datum_add datum_copy datum_div datum_double datum_eq datum_eq2 datum_ge datum_ge2 datum_gt datum_gt2 datum_le datum_le2 datum_lt datum_lt2 datum_mult datum_ne datum_ne2 datum_sub datumarr_extract datumarr_remove_duplicates datumarr_sort datumarr_to_array double2arr_sort double3arr_sort double_pad ensure_base_type_continuous ensure_temporal_base_type ensure_tgeo_base_type ensure_tnumber_base_type ensure_tnumber_range_type hypot3d hypot4d periodarr_extract periodarr_sort periodarr_to_array pfree_array pfree_datumarr range_oid_from_base rangearr_extract rangearr_sort rangearr_to_array stboxarr_to_array stringarr_to_string talpha_base_type temporal_bbox_size temporal_oid_from_base temporal_type temporalarr_extract temporalarr_to_array text2cstring text_cmp textarr_to_array tgeo_base_type timestamparr_extract timestamparr_remove_duplicates timestamparr_sort timestamparr_to_array tinstantarr_remove_duplicates tinstantarr_sort tnumber_base_type tnumber_range_type tnumber_type tsequencearr_sort tspatial_base_type tspatial_type type_has_precomputed_trajectory

hypot3d() double hypot3d ( double  x, double  y, double  z  ) Determine the 3D hypotenuse. If required, x, y, and z are swapped to make x the larger number. The traditional formula of x^2+y^2+z^2 is rearranged to factor x outside the sqrt. This allows computation of the hypotenuse for significantly larger values, and with a higher precision than when using the naive formula. In particular, this cannot overflow unless the final result would be out-of-range. sqrt( x^2 + y^2 + z^2 ) = sqrt( x^2( 1 + y^2/x^2 + z^2/x^2) ) = x * sqrt( 1 + y^2/x^2 + z^2/x^2) = x * sqrt( 1 + y/x * y/x + z/x * z/x)