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build4/epsilon-master/poincare/src/great_common_divisor.cpp 2.27 KB
6663b6c9   adorian   projet complet av...
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  #include <poincare/great_common_divisor.h>
  #include <poincare/undefined.h>
  #include <poincare/rational.h>
  #include <poincare/arithmetic.h>
  
  extern "C" {
  #include <assert.h>
  }
  #include <cmath>
  
  namespace Poincare {
  
  Expression::Type GreatCommonDivisor::type() const {
    return Type::GreatCommonDivisor;
  }
  
  Expression * GreatCommonDivisor::clone() const {
    GreatCommonDivisor * a = new GreatCommonDivisor(m_operands, true);
    return a;
  }
  
  Expression * GreatCommonDivisor::shallowReduce(Context& context, AngleUnit angleUnit) {
    Expression * e = Expression::shallowReduce(context, angleUnit);
    if (e != this) {
      return e;
    }
    Expression * op0 = editableOperand(0);
    Expression * op1 = editableOperand(1);
  #if MATRIX_EXACT_REDUCING
    if (op0->type() == Type::Matrix || op1->type() == Type::Matrix) {
      return replaceWith(new Undefined(), true);
    }
  #endif
    if (op0->type() == Type::Rational) {
      Rational * r0 = static_cast<Rational *>(op0);
      if (!r0->denominator().isOne()) {
        return replaceWith(new Undefined(), true);
      }
    }
    if (op1->type() == Type::Rational) {
      Rational * r1 = static_cast<Rational *>(op1);
      if (!r1->denominator().isOne()) {
        return replaceWith(new Undefined(), true);
      }
    }
    if (op0->type() != Type::Rational || op1->type() != Type::Rational) {
      return this;
    }
    Rational * r0 = static_cast<Rational *>(op0);
    Rational * r1 = static_cast<Rational *>(op1);
  
    Integer a = r0->numerator();
    Integer b = r1->numerator();
    Integer gcd = Arithmetic::GCD(&a, &b);
    return replaceWith(new Rational(gcd), true);
  }
  
  template<typename T>
  Complex<T> * GreatCommonDivisor::templatedApproximate(Context& context, AngleUnit angleUnit) const {
    Evaluation<T> * f1Input = operand(0)->privateApproximate(T(), context, angleUnit);
    Evaluation<T> * f2Input = operand(1)->privateApproximate(T(), context, angleUnit);
    T f1 = f1Input->toScalar();
    T f2 = f2Input->toScalar();
    delete f1Input;
    delete f2Input;
    if (std::isnan(f1) || std::isnan(f2) || f1 != (int)f1 || f2 != (int)f2) {
      return new Complex<T>(Complex<T>::Undefined());
    }
    int a = (int)f2;
    int b = (int)f1;
    if (f1 > f2) {
      b = a;
      a = (int)f1;
    }
    int r = 0;
    while((int)b!=0){
      r = a - ((int)(a/b))*b;
      a = b;
      b = r;
    }
    return new Complex<T>(std::round((T)a));
  }
  
  }