math.nbtheory: Implement natural logarithm

This commit is contained in:
2017-10-02 14:55:30 +02:00
parent 74b085b88d
commit e4cd57a615
4 changed files with 143 additions and 33 deletions

View File

@ -17,6 +17,15 @@ module tanya.math.nbtheory;
import tanya.math.mp;
import tanya.meta.trait;
version (TanyaNative)
{
}
else
{
import core.math : fabs;
import std.math : log;
}
/**
* Calculates the absolute value of a number.
*
@ -57,21 +66,19 @@ version (D_Ddoc)
I abs(I)(I x)
if (isFloatingPoint!I);
}
else version (TanyaPhobos)
else version (TanyaNative)
{
extern I abs(I)(I number) pure nothrow @safe @nogc
if (isFloatingPoint!I);
}
else
{
import core.math;
I abs(I)(I x)
if (isFloatingPoint!I)
{
return fabs(cast(real) x);
}
}
else
{
extern I abs(I)(I number) pure nothrow @safe @nogc
if (isFloatingPoint!I);
}
///
pure nothrow @safe @nogc unittest
@ -103,3 +110,56 @@ I abs(I : Integer)(I x)
x.sign = Sign.positive;
return x;
}
version (D_Ddoc)
{
/**
* Calculates natural logarithm of $(D_PARAM x).
*
* Params:
* x = Argument.
*
* Returns: Natural logarithm of $(D_PARAM x).
*/
float ln(float x) pure nothrow @safe @nogc;
/// ditto
double ln(double x) pure nothrow @safe @nogc;
/// ditto
real ln(real x) pure nothrow @safe @nogc;
}
else version (TanyaNative)
{
extern float ln(float x) pure nothrow @safe @nogc;
extern double ln(double x) pure nothrow @safe @nogc;
extern real ln(real x) pure nothrow @safe @nogc;
}
else
{
float ln(float x) pure nothrow @safe @nogc
{
return log(x);
}
double ln(double x) pure nothrow @safe @nogc
{
return log(x);
}
alias ln = log;
}
///
pure nothrow @safe @nogc unittest
{
import tanya.math;
assert(isNaN(ln(-7.389f)));
assert(isNaN(ln(-7.389)));
assert(isNaN(ln(-7.389L)));
assert(isInfinity(ln(0.0f)));
assert(isInfinity(ln(0.0)));
assert(isInfinity(ln(0.0L)));
assert(ln(1.0f) == 0.0f);
assert(ln(1.0) == 0.0);
assert(ln(1.0L) == 0.0L);
}