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Function `std.complex.log10`

Calculate the base-10 logarithm of x.


						
				Complex!T log10(T)
				(
				

				  Complex!T x
				

				) pure nothrow @nogc @safe;

Parameters

Name	Description
x	A complex number

Returns

The complex base 10 logarithm of x

Example

import core.math : sqrt;
import std.math.constants : LN10, PI;
import std.math.operations : isClose;

auto a = complex(2.0, 1.0);
writeln(log10(a)); // log(a) / log(complex(10.0))

auto b = log10(complex(0.0, 1.0)) * 2.0;
auto c = log10(complex(sqrt(2.0) / 2, sqrt(2.0) / 2)) * 4.0;
assert(isClose(b, c, 0.0, 1e-15));

assert(ceqrel(log10(complex(-100.0L, 0.0L)), complex(2.0L, PI / LN10)) >= real.mant_dig - 1);
assert(ceqrel(log10(complex(-100.0L, -0.0L)), complex(2.0L, -PI / LN10)) >= real.mant_dig - 1);

Authors

Lars Tandle Kyllingstad, Don Clugston

License

Boost License 1.0