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build6/epsilon-master/poincare/src/square_root.cpp 2.07 KB
6663b6c9   adorian   projet complet av...
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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);
  }
  
  }