confidence_interval.cpp
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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);
}
}