Reference Complex inverse functions
lzc_arctangent
The principal arctangent of a complex number.
long lzc_arctangent( CLZComplex* leftOperand, CLZComplex* targetNumber = nullptr );The principal value, each part correctly rounded, the whole angle written in the thread's unit. On a cut it takes the operand's +0 side: arctan 2i is π/2 + i artanh ½. In degrees arctan(0.6 + 0.8i) has a real part of exactly 45. ±i are poles: kUndefinedResult, the point at infinity.
Examples
| Call | Answer | Returns |
|---|---|---|
lzc_arctangent( 0 + 2i ) | 1.570796326794896619231321691639751442 + 0.549306144334054845697622618461262852i | kNoError |
lzc_arctangent( 0.6 + 0.8i ) degrees | 45 + 31.472923730945380019772415390685888252i | kNoError |
lzc_arctangent( 0 + 1i ) | the point at infinity | kUndefinedResult |
Each answer is what Addaptic printed for the call, in radians, 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
lzc_tangentThe tangent of a complex angle.lzc_arccotangentThe principal arccotangent of a complex number, arctan(1/z).lz_arctangentThe angle whose tangent is the number.