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Function std.complex.log
Calculate the natural logarithm of x. The branch cut is along the negative axis.
Parameters
Name | Description |
---|---|
x | A complex number |
Returns
The complex natural logarithm of x
x | log(x) |
---|---|
(-0, +0) | (-∞, π ) |
(+0, +0) | (-∞, +0) |
(any, +∞) | (+∞, π /2) |
(any, NAN) | (NAN, NAN) |
(-∞, any) | (+∞, π ) |
(+∞, any) | (+∞, +0) |
(-∞, +∞) | (+∞, 3π /4) |
(+∞, +∞) | (+∞, π /4) |
(±∞, NAN) | (+∞, NAN) |
(NAN, any) | (NAN, NAN) |
(NAN, +∞) | (+∞, NAN) |
(NAN, NAN) | (NAN, NAN) |
Example
import core .math : sqrt;
import std .math .constants : PI;
import std .math .operations : isClose;
auto a = complex(2.0, 1.0);
writeln(log(conj(a))); // conj(log(a))
auto b = 2.0 * log10(complex(0.0, 1.0));
auto c = 4.0 * log10(complex(sqrt(2.0) / 2, sqrt(2.0) / 2));
assert(isClose(b, c, 0.0, 1e-15));
writeln(log(complex(-1.0L, 0.0L))); // complex(0.0L, PI)
writeln(log(complex(-1.0L, -0.0L))); // complex(0.0L, -PI)
Authors
Lars Tandle Kyllingstad, Don Clugston
License
Copyright © 1999-2022 by the D Language Foundation | Page generated by ddox.