public function testFiniteAbs()
{
$this->assertTrue(DecimalConstants::pi()->equals(Decimal::fromString("3.14159265358979323846264338327950")));
$this->assertTrue(DecimalConstants::eulerMascheroni()->equals(Decimal::fromString("0.57721566490153286060651209008240")));
$this->assertTrue(DecimalConstants::goldenRatio()->equals(Decimal::fromString("1.61803398874989484820458683436564")));
$this->assertTrue(DecimalConstants::lightSpeed()->equals(Decimal::fromInteger(299792458)));
}
/**
* Calculates the arccotangente of this with the highest possible accuracy
*
* @param integer $scale
* @return Decimal
*/
public function arccot($scale = null)
{
$scale = $scale === null ? 32 : $scale;
$piOverTwo = DecimalConstants::pi()->div(Decimal::fromInteger(2), $scale + 2);
if ($this->round($scale)->isZero()) {
return $piOverTwo->round($scale);
}
$piOverFour = DecimalConstants::pi()->div(Decimal::fromInteger(4), $scale + 2);
if ($this->round($scale)->equals(DecimalConstants::one())) {
return $piOverFour->round($scale);
}
if ($this->round($scale)->equals(DecimalConstants::negativeOne())) {
return DecimalConstants::negativeOne()->mul($piOverFour, $scale + 2)->round($scale);
}
return $piOverTwo->sub(self::simplePowerSerie($this, DecimalConstants::zero(), $scale + 2))->round($scale);
}
/**
* Calculates the arccosecant of this with the highest possible accuracy
*
* @param integer $scale
* @return Decimal
*/
public function arccsc($scale = null)
{
if ($this->comp(DecimalConstants::one(), $scale + 2) === -1 && $this->comp(DecimalConstants::negativeOne(), $scale + 2) === 1) {
throw new \DomainException("The arccosecant of this number is undefined.");
}
$scale = $scale === null ? 32 : $scale;
if ($this->round($scale)->equals(DecimalConstants::one())) {
return DecimalConstants::pi()->div(Decimal::fromInteger(2), $scale + 2)->round($scale);
}
if ($this->round($scale)->equals(DecimalConstants::negativeOne())) {
return DecimalConstants::pi()->div(Decimal::fromInteger(-2), $scale + 2)->round($scale);
}
return self::powerSerie(DecimalConstants::one()->div($this, $scale + 2), DecimalConstants::zero(), $scale + 2)->round($scale);
}
