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build5/epsilon-master/poincare/src/decimal.cpp 10.5 KB
6663b6c9   adorian   projet complet av...
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  #include <poincare/decimal.h>
  #include <poincare/rational.h>
  #include <poincare/opposite.h>
  #include <poincare/ieee754.h>
  #include <assert.h>
  #include <ion.h>
  #include <cmath>
  extern "C" {
  #include <assert.h>
  }
  
  namespace Poincare {
  
  static inline int max(int x, int y) { return (x>y ? x : y); }
  
  int Decimal::exponent(const char * integralPart, int integralPartLength, const char * fractionalPart, int fractionalPartLength, const char * exponent, int exponentLength, bool exponentNegative) {
    int base = 10;
    int exp = 0;
    for (int i = 0; i < exponentLength; i++) {
      exp *= base;
      exp += *exponent-'0';
      exponent++;
    }
    if (exponentNegative) {
      exp = -exp;
    }
    const char * integralPartEnd = integralPart + integralPartLength;
    if (integralPart != nullptr) {
      while (*integralPart == '0' && integralPart < integralPartEnd) {
        integralPart++;
      }
    }
    exp += integralPartEnd-integralPart-1;
    if (integralPart == integralPartEnd) {
      const char * fractionalPartEnd = fractionalPart + fractionalPartLength;
      if (fractionalPart != nullptr) {
        while (*fractionalPart == '0' && fractionalPart < fractionalPartEnd) {
          fractionalPart++;
          exp--;
        }
      }
      if (fractionalPart == fractionalPartEnd) {
        exp += fractionalPartLength+1;
      }
    }
    return exp;
  }
  
  void removeZeroAtTheEnd(Integer & i) {
    if (i.isZero()) {
      return;
    }
    Integer base = Integer(10);
    IntegerDivision d = Integer::Division(i, base);
    while (d.remainder.isZero()) {
      i = d.quotient;
      d = Integer::Division(i, base);
    }
  }
  
  Integer Decimal::mantissa(const char * integralPart, int integralPartLength, const char * fractionalPart, int fractionalPartLength, bool negative) {
    Integer zero = Integer(0);
    Integer base = Integer(10);
    Integer numerator = Integer(integralPart, negative);
    for (int i = 0; i < fractionalPartLength; i++) {
      numerator = Integer::Multiplication(numerator, base);
      numerator = Integer::Addition(numerator, Integer(*fractionalPart-'0'));
      fractionalPart++;
    }
    return numerator;
  }
  
  Decimal::Decimal(Integer mantissa, int exponent) :
    m_mantissa(mantissa),
    m_exponent(exponent)
  {
  }
  
  template <typename T>
  Decimal::Decimal(T f) {
    m_exponent = IEEE754<T>::exponentBase10(f);
    int64_t mantissaf = std::round((double)f * std::pow((double)10.0, (double)(-m_exponent+PrintFloat::k_numberOfStoredSignificantDigits+1)));
    m_mantissa = Integer(mantissaf);
  }
  
  Expression::Type Decimal::type() const {
    return Type::Decimal;
  }
  
  Expression * Decimal::clone() const {
    return new Decimal(m_mantissa, m_exponent);
  }
  
  template<typename T> Evaluation<T> * Decimal::templatedApproximate(Context& context, Expression::AngleUnit angleUnit) const {
    T m = m_mantissa.approximate<T>();
    int numberOfDigits = Integer::numberOfDigitsWithoutSign(m_mantissa);
    return new Complex<T>(m*std::pow((T)10.0, (T)(m_exponent-numberOfDigits+1)));
  }
  
  int Decimal::convertToText(char * buffer, int bufferSize, PrintFloat::Mode mode, int numberOfSignificantDigits) const {
    if (bufferSize == 0) {
      return -1;
    }
    buffer[bufferSize-1] = 0;
    int currentChar = 0;
    if (currentChar >= bufferSize-1) { return bufferSize-1; }
    if (m_mantissa.isZero()) {
      buffer[currentChar++] = '0';
      buffer[currentChar] = 0;
      return currentChar;
    }
    int exponent = m_exponent;
    char tempBuffer[PrintFloat::k_numberOfStoredSignificantDigits+1];
    // Round the integer if m_mantissa > 10^numberOfSignificantDigits-1
    Integer absMantissa = m_mantissa;
    absMantissa.setNegative(false);
    int numberOfDigitsInMantissa = Integer::numberOfDigitsWithoutSign(m_mantissa);
    if (numberOfDigitsInMantissa > numberOfSignificantDigits) {
      IntegerDivision d = Integer::Division(absMantissa, Integer((int64_t)std::pow(10.0, numberOfDigitsInMantissa - numberOfSignificantDigits)));
      absMantissa = d.quotient;
      if (Integer::NaturalOrder(d.remainder, Integer((int64_t)(5.0*std::pow(10.0, numberOfDigitsInMantissa-numberOfSignificantDigits-1)))) >= 0) {
        absMantissa = Integer::Addition(absMantissa, Integer(1));
        // if 9999 was rounded to 10000, we need to update exponent and mantissa
        if (Integer::numberOfDigitsWithoutSign(absMantissa) > numberOfSignificantDigits) {
          exponent++;
          absMantissa = Integer::Division(absMantissa, Integer(10)).quotient;
        }
      }
      removeZeroAtTheEnd(absMantissa);
    }
    int mantissaLength = absMantissa.writeTextInBuffer(tempBuffer, PrintFloat::k_numberOfStoredSignificantDigits+1);
    if (strcmp(tempBuffer, "undef") == 0) {
      currentChar = strlcpy(buffer, tempBuffer, bufferSize);
      return currentChar;
    }
    /* We force scientific mode if the number of digits before the dot is superior
     * to the number of significant digits (ie with 4 significant digits,
     * 12345 -> 1.235E4 or 12340 -> 1.234E4). */
    bool forceScientificMode = mode == PrintFloat::Mode::Scientific || exponent >= numberOfSignificantDigits;
    int numberOfRequiredDigits = mantissaLength;
    if (!forceScientificMode) {
      numberOfRequiredDigits = mantissaLength > exponent ? mantissaLength : exponent;
      numberOfRequiredDigits = exponent < 0 ? mantissaLength-exponent : numberOfRequiredDigits;
    }
    if (currentChar >= bufferSize-1) { return bufferSize-1; }
    if (m_mantissa.isNegative()) {
      buffer[currentChar++] = '-';
      if (currentChar >= bufferSize-1) { return bufferSize-1; }
    }
    /* Case 0: Scientific mode. Three cases:
     * - the user chooses the scientific mode
     * - the exponent is too big compared to the number of significant digits, so
     *   we force the scientific mode to avoid inventing digits
     * - the number would be too long if we print it as a natural decimal */
    if (numberOfRequiredDigits > PrintFloat::k_numberOfStoredSignificantDigits || forceScientificMode) {
      if (mantissaLength == 1) {
        currentChar += strlcpy(buffer+currentChar, tempBuffer, bufferSize-currentChar);
      } else {
        currentChar++;
        int decimalMarkerPosition = currentChar;
        if (currentChar >= bufferSize-1) { return bufferSize-1; }
        currentChar += strlcpy(buffer+currentChar, tempBuffer, bufferSize-currentChar);
        buffer[decimalMarkerPosition-1] = buffer[decimalMarkerPosition];
        buffer[decimalMarkerPosition] = '.';
      }
      if (exponent == 0) {
        return currentChar;
      }
      if (currentChar >= bufferSize-1) { return bufferSize-1; }
      buffer[currentChar++] = Ion::Charset::Exponent;
      currentChar += Integer(exponent).writeTextInBuffer(buffer+currentChar, bufferSize-currentChar);
      return currentChar;
    }
    /* Case 1: Decimal mode */
    int deltaCharMantissa = exponent < 0 ? -exponent+1 : 0;
    strlcpy(buffer+currentChar+deltaCharMantissa, tempBuffer, max(0, bufferSize-deltaCharMantissa-currentChar));
    if (exponent < 0) {
      for (int i = 0; i <= -exponent; i++) {
        if (currentChar >= bufferSize-1) { return bufferSize-1; }
        if (i == 1) {
          buffer[currentChar++] = '.';
          continue;
        }
        buffer[currentChar++] = '0';
      }
    }
    currentChar += mantissaLength;
    if (exponent >= 0 && exponent < mantissaLength-1) {
      if (currentChar+1 >= bufferSize-1) { return bufferSize-1; }
      int decimalMarkerPosition = m_mantissa.isNegative() ? exponent + 1 : exponent;
      for (int i = currentChar-1; i > decimalMarkerPosition; i--) {
        buffer[i+1] = buffer[i];
      }
      if (currentChar >= bufferSize-1) { return bufferSize-1; }
      buffer[decimalMarkerPosition+1] = '.';
      currentChar++;
    }
    if (exponent >= 0 && exponent > mantissaLength-1) {
      int endMarkerPosition = m_mantissa.isNegative() ? exponent+1 : exponent;
      for (int i = currentChar-1; i < endMarkerPosition; i++) {
        if (currentChar+1 >= bufferSize-1) { return bufferSize-1; }
        buffer[currentChar++] = '0';
      }
    }
    if (currentChar >= bufferSize-1) { return bufferSize-1; }
    buffer[currentChar] = 0;
    return currentChar;
  }
  
  int Decimal::writeTextInBuffer(char * buffer, int bufferSize, PrintFloat::Mode floatDisplayMode, int numberOfSignificantDigits) const {
    return convertToText(buffer, bufferSize, floatDisplayMode, numberOfSignificantDigits);
  }
  
  bool Decimal::needParenthesisWithParent(const Expression * e) const {
    if (sign() == Sign::Positive) {
      return false;
    }
    Type types[] = {Type::Addition, Type::Subtraction, Type::Opposite, Type::Multiplication, Type::Division, Type::Power, Type::Factorial};
    return e->isOfType(types, 7);
  }
  
  ExpressionLayout * Decimal::createLayout(PrintFloat::Mode floatDisplayMode, int numberOfSignificantDigits) const {
    char buffer[k_maxBufferSize];
    int numberOfChars = convertToText(buffer, k_maxBufferSize, floatDisplayMode, numberOfSignificantDigits);
    return LayoutEngine::createStringLayout(buffer, numberOfChars);
  }
  
  Expression * Decimal::shallowReduce(Context& context, AngleUnit angleUnit) {
    Expression * e = Expression::shallowReduce(context, angleUnit);
    if (e != this) {
      return e;
    }
    // Do not reduce decimal to rational if the exponent is too big or too small.
    if (m_exponent > k_maxDoubleExponent || m_exponent < -k_maxDoubleExponent) {
      return this; // TODO: return new Infinite() ? new Rational(0) ?
    }
    Integer numerator = m_mantissa;
    removeZeroAtTheEnd(numerator);
    int numberOfDigits = Integer::numberOfDigitsWithoutSign(numerator);
    Integer denominator = Integer(1);
    if (m_exponent >= numberOfDigits-1) {
      numerator = Integer::Multiplication(numerator, Integer::Power(Integer(10), Integer(m_exponent-numberOfDigits+1)));
    } else {
      denominator = Integer::Power(Integer(10), Integer(numberOfDigits-1-m_exponent));
    }
    return replaceWith(new Rational(numerator, denominator), true);
  }
  
  Expression * Decimal::shallowBeautify(Context & context, AngleUnit angleUnit) {
    if (m_mantissa.isNegative()) {
      m_mantissa.setNegative(false);
      Opposite * o = new Opposite(this, true);
      return replaceWith(o, true);
    }
    return this;
  }
  
  int Decimal::simplificationOrderSameType(const Expression * e, bool canBeInterrupted) const {
    assert(e->type() == Type::Decimal);
    const Decimal * other = static_cast<const Decimal *>(e);
    if (sign() == Sign::Negative && other->sign() == Sign::Positive) {
      return -1;
    }
    if (sign() == Sign::Positive && other->sign() == Sign::Negative) {
      return 1;
    }
    assert(sign() == other->sign());
    int unsignedComparison = 0;
    if (exponent() < other->exponent()) {
      unsignedComparison = -1;
    } else if (exponent() > other->exponent()) {
      unsignedComparison = 1;
    } else {
      assert(exponent() == other->exponent());
      unsignedComparison = Integer::NaturalOrder(mantissa(), other->mantissa());
    }
    return ((int)sign())*unsignedComparison;
  }
  
  template Decimal::Decimal(double);
  template Decimal::Decimal(float);
  
  }