square_root.cpp
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#include <poincare/square_root.h>
#include <poincare/power.h>
#include <poincare/simplification_engine.h>
#include "layout/nth_root_layout.h"
extern "C" {
#include <assert.h>
}
#include <cmath>
#include <ion.h>
namespace Poincare {
Expression::Type SquareRoot::type() const {
return Type::SquareRoot;
}
Expression * SquareRoot::clone() const {
SquareRoot * a = new SquareRoot(m_operands, true);
return a;
}
static_assert('\x91' == Ion::Charset::Root, "Unicode error");
int SquareRoot::writeTextInBuffer(char * buffer, int bufferSize, PrintFloat::Mode floatDisplayMode, int numberOfSignificantDigits) const {
return LayoutEngine::writePrefixExpressionTextInBuffer(this, buffer, bufferSize, floatDisplayMode, numberOfSignificantDigits, "\x91");
}
template<typename T>
std::complex<T> SquareRoot::computeOnComplex(const std::complex<T> c, AngleUnit angleUnit) {
std::complex<T> result = std::sqrt(c);
/* Openbsd trigonometric functions are numerical implementation and thus are
* approximative.
* The error epsilon is ~1E-7 on float and ~1E-15 on double. In order to
* avoid weird results as sqrt(-1) = 6E-16+i, we compute the argument of
* the result of sqrt(c) and if arg ~ 0 [Pi], we discard the residual imaginary
* part and if arg ~ Pi/2 [Pi], we discard the residual real part. */
return ApproximationEngine::truncateRealOrImaginaryPartAccordingToArgument(result);
}
Expression * SquareRoot::shallowReduce(Context& context, AngleUnit angleUnit) {
Expression * e = Expression::shallowReduce(context, angleUnit);
if (e != this) {
return e;
}
#if MATRIX_EXACT_REDUCING
if (operand(0)->type() == Type::Matrix) {
return SimplificationEngine::map(this, context, angleUnit);
}
#endif
Power * p = new Power(operand(0), new Rational(1, 2), false);
detachOperands();
replaceWith(p, true);
return p->shallowReduce(context, angleUnit);
}
ExpressionLayout * SquareRoot::createLayout(PrintFloat::Mode floatDisplayMode, int numberOfSignificantDigits) const {
return new NthRootLayout(operand(0)->createLayout(floatDisplayMode, numberOfSignificantDigits), false);
}
}