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build2/epsilon-master/poincare/src/confidence_interval.cpp 2.77 KB
6663b6c9   adorian   projet complet av...
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  #include <poincare/confidence_interval.h>
  #include <poincare/matrix.h>
  #include <poincare/addition.h>
  #include <poincare/multiplication.h>
  #include <poincare/power.h>
  #include <poincare/undefined.h>
  extern "C" {
  #include <assert.h>
  }
  #include <cmath>
  
  namespace Poincare {
  
  Expression::Type ConfidenceInterval::type() const {
    return Type::ConfidenceInterval;
  }
  
  Expression * ConfidenceInterval::clone() const {
    ConfidenceInterval * a = new ConfidenceInterval(m_operands, true);
    return a;
  }
  
  int ConfidenceInterval::polynomialDegree(char symbolName) const {
    return -1;
  }
  
  Expression * ConfidenceInterval::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->numerator().isNegative() || Integer::NaturalOrder(r0->numerator(), r0->denominator()) > 0) {
        return replaceWith(new Undefined(), true);
      }
    }
    if (op1->type() == Type::Rational) {
      Rational * r1 = static_cast<Rational *>(op1);
      if (!r1->denominator().isOne() || r1->numerator().isNegative()) {
        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);
    detachOperands();
    // Compute [r0-1/sqr(r1), r0+1/sqr(r1)]
    Expression * sqr = new Power(r1, new Rational(-1, 2), false);
    const Expression * newOperands[2] = {new Addition(r0, new Multiplication(new Rational(-1), sqr, false), false), new Addition(r0, sqr, true)};
    Expression * matrix = replaceWith(new Matrix(newOperands, 1, 2, false), true);
    return matrix->deepReduce(context, angleUnit);
  }
  
  template<typename T>
  Evaluation<T> * ConfidenceInterval::templatedApproximate(Context& context, AngleUnit angleUnit) const {
    Evaluation<T> * fInput = operand(0)->privateApproximate(T(), context, angleUnit);
    Evaluation<T> * nInput = operand(1)->privateApproximate(T(), context, angleUnit);
    T f = static_cast<Complex<T> *>(fInput)->toScalar();
    T n = static_cast<Complex<T> *>(nInput)->toScalar();
    delete fInput;
    delete nInput;
    if (std::isnan(f) || std::isnan(n) || n != (int)n || n < 0 || f < 0 || f > 1) {
      return new Complex<T>(Complex<T>::Undefined());
    }
    std::complex<T> operands[2];
    operands[0] = std::complex<T>(f - 1/std::sqrt(n));
    operands[1] = std::complex<T>(f + 1/std::sqrt(n));
    return new MatrixComplex<T>(operands, 1, 2);
  }
  
  }