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std.complex: Document special values of exp() and log()

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Iain Buclaw 2020-05-03 02:26:46 +02:00
parent 81da0dc458
commit 013e94b4e7
1 changed files with 42 additions and 0 deletions
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42
std/complex.d
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@ -8,6 +8,15 @@
the built-in types `cfloat`, `cdouble`, `creal`, `ifloat`,
`idouble`, and `ireal`.
Macros:
TABLE_SV = <table border="1" cellpadding="4" cellspacing="0">
<caption>Special Values</caption>
$0</table>
PLUSMN = &plusmn;
NAN = $(RED NAN)
INFIN = &infin;
PI = &pi;
Authors: Lars Tandle Kyllingstad, Don Clugston
Copyright: Copyright (c) 2010, Lars T. Kyllingstad.
License: $(HTTP boost.org/LICENSE_1_0.txt, Boost License 1.0)
@ -1054,6 +1063,23 @@ Complex!T sqrt(T)(Complex!T z) @safe pure nothrow @nogc
* x = A complex number
* Returns:
* The complex base e exponential of `x`
*
* $(TABLE_SV
* $(TR $(TH x) $(TH exp(x)))
* $(TR $(TD ($(PLUSMN)0, +0)) $(TD (1, +0)))
* $(TR $(TD (any, +$(INFIN))) $(TD ($(NAN), $(NAN))))
* $(TR $(TD (any, $(NAN)) $(TD ($(NAN), $(NAN)))))
* $(TR $(TD (+$(INFIN), +0)) $(TD (+$(INFIN), +0)))
* $(TR $(TD (-$(INFIN), any)) $(TD ($(PLUSMN)0, cis(x.im))))
* $(TR $(TD (+$(INFIN), any)) $(TD ($(PLUSMN)$(INFIN), cis(x.im))))
* $(TR $(TD (-$(INFIN), +$(INFIN))) $(TD ($(PLUSMN)0, $(PLUSMN)0)))
* $(TR $(TD (+$(INFIN), +$(INFIN))) $(TD ($(PLUSMN)$(INFIN), $(NAN))))
* $(TR $(TD (-$(INFIN), $(NAN))) $(TD ($(PLUSMN)0, $(PLUSMN)0)))
* $(TR $(TD (+$(INFIN), $(NAN))) $(TD ($(PLUSMN)$(INFIN), $(NAN))))
* $(TR $(TD ($(NAN), +0)) $(TD ($(NAN), +0)))
* $(TR $(TD ($(NAN), any)) $(TD ($(NAN), $(NAN))))
* $(TR $(TD ($(NAN), $(NAN))) $(TD ($(NAN), $(NAN))))
* )
*/
Complex!T exp(T)(Complex!T x) @trusted pure nothrow @nogc // TODO: @safe
{
@ -1186,6 +1212,22 @@ Complex!T exp(T)(Complex!T x) @trusted pure nothrow @nogc // TODO: @safe
* x = A complex number
* Returns:
* The complex natural logarithm of `x`
*
* $(TABLE_SV
* $(TR $(TH x) $(TH log(x)))
* $(TR $(TD (-0, +0)) $(TD (-$(INFIN), $(PI))))
* $(TR $(TD (+0, +0)) $(TD (-$(INFIN), +0)))
* $(TR $(TD (any, +$(INFIN))) $(TD (+$(INFIN), $(PI)/2)))
* $(TR $(TD (any, $(NAN))) $(TD ($(NAN), $(NAN))))
* $(TR $(TD (-$(INFIN), any)) $(TD (+$(INFIN), $(PI))))
* $(TR $(TD (+$(INFIN), any)) $(TD (+$(INFIN), +0)))
* $(TR $(TD (-$(INFIN), +$(INFIN))) $(TD (+$(INFIN), 3$(PI)/4)))
* $(TR $(TD (+$(INFIN), +$(INFIN))) $(TD (+$(INFIN), $(PI)/4)))
* $(TR $(TD ($(PLUSMN)$(INFIN), $(NAN))) $(TD (+$(INFIN), $(NAN))))
* $(TR $(TD ($(NAN), any)) $(TD ($(NAN), $(NAN))))
* $(TR $(TD ($(NAN), +$(INFIN))) $(TD (+$(INFIN), $(NAN))))
* $(TR $(TD ($(NAN), $(NAN))) $(TD ($(NAN), $(NAN))))
* )
*/
Complex!T log(T)(Complex!T x) @safe pure nothrow @nogc
{