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#include <poincare/nth_root.h>
#include <poincare/complex.h>
#include <poincare/fraction.h>
#include <poincare/power.h>
#include "layout/nth_root_layout.h"
extern "C" {
#include <assert.h>
}
#include <cmath>
namespace Poincare {
NthRoot::NthRoot() :
Function("root", 2)
{
}
Expression::Type NthRoot::type() const {
return Type::NthRoot;
}
Expression * NthRoot::cloneWithDifferentOperands(Expression** newOperands,
int numberOfOperands, bool cloneOperands) const {
assert(newOperands != nullptr);
NthRoot * r = new NthRoot();
r->setArgument(newOperands, numberOfOperands, cloneOperands);
return r;
}
ExpressionLayout * NthRoot::privateCreateLayout(FloatDisplayMode floatDisplayMode, ComplexFormat complexFormat) const {
assert(floatDisplayMode != FloatDisplayMode::Default);
assert(complexFormat != ComplexFormat::Default);
return new NthRootLayout(m_args[0]->createLayout(floatDisplayMode, complexFormat), m_args[1]->createLayout(floatDisplayMode, complexFormat));
}
template<typename T>
Evaluation<T> * NthRoot::templatedEvaluate(Context& context, AngleUnit angleUnit) const {
Evaluation<T> * base = m_args[0]->evaluate<T>(context, angleUnit);
Evaluation<T> * index = m_args[1]->evaluate<T>(context, angleUnit);
Complex<T> result = Complex<T>::Float(NAN);
if (base->numberOfOperands() == 1 || index->numberOfOperands() == 1) {
result = compute(*(base->complexOperand(0)), *(index->complexOperand(0)));
}
delete base;
delete index;
return new Complex<T>(result);
}
template<typename T>
Complex<T> NthRoot::compute(const Complex<T> c, const Complex<T> d) const {
if (c.a() >= 0 && c.b() == 0 && d.b() == 0) {
return Complex<T>::Float(std::pow(c.a(), 1/d.a()));
}
Complex<T> invIndex = Fraction::compute(Complex<T>::Float(1), d);
return Power::compute(c, invIndex);
}
}
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