Reference Hyperbolic functions
lz_archypersine
The number whose hyperbolic sine is the operand.
long lz_archypersine( CLZNumber* leftOperand, CLZNumber* targetNumber = nullptr );
ln(x + √(x² + 1)), defined for every x, correctly rounded. The inverse hyperbolic functions come from the logarithm and the square root, with a series where those would lose digits.
Examples
| Call | Answer |
|---|---|
lz_archypersine( 1 ) | 0.881373587019543025232609324979792309 |
lz_archypersine( −1 ) | −0.881373587019543025232609324979792309 |
lz_archypersine( 0.5 ) | 0.481211825059603447497758913424368423 |
Each answer is what Addaptic printed for the call, at 36 places unless a setting is shown.
Returns
kNoError (0) when the answer is written. Otherwise an error code, with the answer flagged infinite or not-a-number; see Errors and flags.
See also
lz_hypersineThe hyperbolic sine.lzc_archypersineThe principal inverse hyperbolic sine of a complex number.