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https://github.com/UpsilonNumworks/Upsilon.git
synced 2026-03-20 14:20:39 +01:00
[poincare] Fix Decimal
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@@ -14,9 +14,19 @@ namespace Poincare {
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class DecimalNode : public NumberNode {
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public:
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void setValue(native_uint_t * mantissaDigits, size_t mantissaSize, int exponent, bool negative);
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DecimalNode() :
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m_negative(false),
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m_exponent(0),
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m_numberOfDigitsInMantissa(0) {}
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virtual void setValue(native_uint_t * mantissaDigits, size_t mantissaSize, int exponent, bool negative);
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// Allocation Failure
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static DecimalNode * FailedAllocationStaticNode();
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DecimalNode * failedAllocationStaticNode() override { return FailedAllocationStaticNode(); }
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NaturalIntegerPointer mantissa() const;
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int exponent() const { return m_exponent; }
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// TreeNode
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size_t size() const override { return sizeof(DecimalNode); }
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@@ -40,13 +50,15 @@ public:
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int simplificationOrderSameType(const ExpressionNode * e, bool canBeInterrupted) const override;
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// Simplification
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Expression shallowReduce(Context& context, Preferences::AngleUnit angleUnit) override;
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Expression shallowBeautify(Context& context, Preferences::AngleUnit angleUnit) override;
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Expression shallowReduce(Context& context, Preferences::AngleUnit angleUnit) const override;
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Expression shallowBeautify(Context& context, Preferences::AngleUnit angleUnit) const override;
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// Serialization
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bool needsParenthesesWithParent(const SerializationHelperInterface * e) const override;
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int serialize(char * buffer, int bufferSize, Preferences::PrintFloatMode floatDisplayMode = Preferences::PrintFloatMode::Decimal, int numberOfSignificantDigits = 0) const override;
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// Layout
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bool needsParenthesesWithParent(SerializableNode * parentNode) const override;
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LayoutRef createLayout(Preferences::PrintFloatMode floatDisplayMode, int numberOfSignificantDigits) const override;
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int serialize(char * buffer, int bufferSize, Preferences::PrintFloatMode floatDisplayMode = Preferences::PrintFloatMode::Decimal, int numberOfSignificantDigits = 0) const override;
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private:
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// Worst case is -1.2345678901234E-1000
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constexpr static int k_maxBufferSize = PrintFloat::k_numberOfStoredSignificantDigits+1+1+1+1+4+1;
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@@ -59,20 +71,30 @@ private:
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native_uint_t m_mantissa[0];
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};
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class DecimalReference : public NumberReference {
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class AllocationFailureDecimalNode : public AllocationFailureExpressionNode<DecimalNode> {
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public:
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void setValue(native_uint_t * mantissaDigits, size_t mantissaSize, int exponent, bool negative) override {}
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};
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class Decimal : public Number {
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friend class Number;
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friend class DecimalNode;
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public:
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static int exponent(const char * integralPart, int integralPartLength, const char * fractionalPart, int fractionalPartLength, const char * exponent, int exponentLength, bool exponentNegative);
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DecimalReference(const char * integralPart, int integralPartLength, const char * fractionalPart, int fractionalPartLength, bool negative, int exponent);
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Decimal(const char * integralPart, int integralPartLength, const char * fractionalPart, int fractionalPartLength, bool negative, int exponent);
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Decimal(const DecimalNode * node) : Number(node) {}
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constexpr static int k_maxExponentLength = 4;
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private:
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DecimalReference(TreeNode * n) : NumberReference(n) {}
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template <typename T> DecimalReference(T f);
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DecimalReference(IntegerReference m, int e);
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DecimalReference(size_t size) : NumberReference() {
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DecimalNode * node() const override { return static_cast<DecimalNode *>(Number::node()); }
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template <typename T> Decimal(T f);
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Decimal(Integer m, int e);
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Decimal(size_t size) : Number(nullptr) {
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TreeNode * node = TreePool::sharedPool()->createTreeNode<DecimalNode>(size);
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m_identifier = node->identifier();
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}
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// Simplification
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Expression shallowReduce(Context& context, Preferences::AngleUnit angleUnit) const;
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Expression shallowBeautify(Context& context, Preferences::AngleUnit angleUnit) const;
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};
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}
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@@ -11,15 +11,15 @@
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namespace Poincare {
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void removeZeroAtTheEnd(IntegerReference * i) {
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void removeZeroAtTheEnd(Integer * i) {
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if (i->isZero()) {
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return;
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}
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IntegerReference base = IntegerReference(10);
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IntegerDivisionReference d = IntegerReference::Division(*i, base);
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Integer base = Integer(10);
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IntegerDivision d = Integer::Division(*i, base);
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while (d.remainder.isZero()) {
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*i = d.quotient;
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d = IntegerReference::Division(*i, base);
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d = Integer::Division(*i, base);
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}
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}
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@@ -30,6 +30,11 @@ void DecimalNode::setValue(native_uint_t * mantissaDigits, size_t mantissaSize,
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memcpy(m_mantissa, mantissaDigits, mantissaSize*sizeof(native_uint_t));
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}
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DecimalNode * DecimalNode::FailedAllocationStaticNode() {
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static AllocationFailureDecimalNode failure;
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return &failure;
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}
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NaturalIntegerPointer DecimalNode::mantissa() const {
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return NaturalIntegerPointer((native_uint_t *)m_mantissa, m_numberOfDigitsInMantissa);
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}
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@@ -58,50 +63,20 @@ int DecimalNode::simplificationOrderSameType(const ExpressionNode * e, bool canB
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return ((int)sign())*unsignedComparison;
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}
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Expression DecimalNode::shallowReduce(Context& context, Preferences::AngleUnit angleUnit) {
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Expression e = ExpressionNode::shallowReduce(context, angleUnit);
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if (e.node() != this) {
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return e;
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}
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Expression reference(this);
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NaturalIntegerPointer m = mantissa();
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IntegerReference numerator(&m);
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removeZeroAtTheEnd(&numerator);
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int numberOfDigits = IntegerReference::NumberOfBase10Digits(numerator);
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IntegerReference denominator(1);
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if (m_exponent >= numberOfDigits-1) {
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numerator = IntegerReference::Multiplication(numerator, IntegerReference::Power(IntegerReference(10), IntegerReference(m_exponent-numberOfDigits+1)));
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} else {
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denominator = IntegerReference::Power(IntegerReference(10), IntegerReference(numberOfDigits-1-m_exponent));
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}
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// Do not reduce decimal to rational if the exponent is too big or too small.
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if (numerator.isInfinity()) {
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assert(!denominator.isInfinity());
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return InfinityReference(m_negative);
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}
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if (denominator.isInfinity()) {
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assert(!denominator.isInfinity());
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return RationalReference(0);
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}
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numerator.setNegative(m_negative);
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return RationalReference(numerator, denominator);
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Expression DecimalNode::shallowReduce(Context& context, Preferences::AngleUnit angleUnit) const {
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return Decimal(this).shallowReduce(context, angleUnit);
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}
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Expression DecimalNode::shallowBeautify(Context & context, Preferences::AngleUnit angleUnit) {
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Expression reference(this);
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if (m_negative) {
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m_negative = false;
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return OppositeReference(reference);
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}
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return reference;
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Expression DecimalNode::shallowBeautify(Context & context, Preferences::AngleUnit angleUnit) const {
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return Decimal(this).shallowBeautify(context, angleUnit);
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}
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bool DecimalNode::needsParenthesesWithParent(SerializableNode * parentNode) const {
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bool DecimalNode::needsParenthesesWithParent(const SerializationHelperInterface * e) const {
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if (!m_negative) {
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return false;
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}
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Type types[] = {Type::Addition, Type::Subtraction, Type::Opposite, Type::Multiplication, Type::Division, Type::Power, Type::Factorial};
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return static_cast<ExpressionNode *>(parentNode)->isOfType(types, 7);
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return static_cast<const ExpressionNode *>(e)->isOfType(types, 7);
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}
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LayoutRef DecimalNode::createLayout(Preferences::PrintFloatMode floatDisplayMode, int numberOfSignificantDigits) const {
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@@ -130,17 +105,17 @@ int DecimalNode::convertToText(char * buffer, int bufferSize, Preferences::Print
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char tempBuffer[PrintFloat::k_numberOfStoredSignificantDigits+1];
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// Round the integer if m_mantissa > 10^numberOfSignificantDigits-1
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NaturalIntegerPointer m = mantissa();
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IntegerReference mantissaRef(&m);
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int numberOfDigitsInMantissa = IntegerReference::NumberOfBase10Digits(mantissaRef);
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Integer mantissaRef(&m);
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int numberOfDigitsInMantissa = Integer::NumberOfBase10Digits(mantissaRef);
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if (numberOfDigitsInMantissa > numberOfSignificantDigits) {
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IntegerDivisionReference d = IntegerReference::Division(mantissaRef, IntegerReference((int64_t)std::pow(10.0, numberOfDigitsInMantissa - numberOfSignificantDigits)));
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IntegerDivision d = Integer::Division(mantissaRef, Integer((int64_t)std::pow(10.0, numberOfDigitsInMantissa - numberOfSignificantDigits)));
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mantissaRef = d.quotient;
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if (IntegerReference::NaturalOrder(d.remainder, IntegerReference((int64_t)(5.0*std::pow(10.0, numberOfDigitsInMantissa-numberOfSignificantDigits-1)))) >= 0) {
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mantissaRef = IntegerReference::Addition(mantissaRef, IntegerReference(1));
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if (Integer::NaturalOrder(d.remainder, Integer((int64_t)(5.0*std::pow(10.0, numberOfDigitsInMantissa-numberOfSignificantDigits-1)))) >= 0) {
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mantissaRef = Integer::Addition(mantissaRef, Integer(1));
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// if 9999 was rounded to 10000, we need to update exponent and mantissa
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if (IntegerReference::NumberOfBase10Digits(mantissaRef) > numberOfSignificantDigits) {
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if (Integer::NumberOfBase10Digits(mantissaRef) > numberOfSignificantDigits) {
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exponent++;
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mantissaRef = IntegerReference::Division(mantissaRef, IntegerReference(10)).quotient;
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mantissaRef = Integer::Division(mantissaRef, Integer(10)).quotient;
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}
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}
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removeZeroAtTheEnd(&mantissaRef);
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@@ -184,7 +159,7 @@ int DecimalNode::convertToText(char * buffer, int bufferSize, Preferences::Print
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}
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if (currentChar >= bufferSize-1) { return bufferSize-1; }
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buffer[currentChar++] = Ion::Charset::Exponent;
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currentChar += IntegerReference(exponent).serialize(buffer+currentChar, bufferSize-currentChar, mode, numberOfSignificantDigits);
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currentChar += Integer(exponent).serialize(buffer+currentChar, bufferSize-currentChar, mode, numberOfSignificantDigits);
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return currentChar;
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}
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/* Case 1: Decimal mode */
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@@ -231,7 +206,7 @@ template<typename T> Evaluation<T> DecimalNode::templatedApproximate() const {
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return Complex<T>(m_negative ? -result : result);
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}
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int DecimalReference::exponent(const char * integralPart, int integralPartLength, const char * fractionalPart, int fractionalPartLength, const char * exponent, int exponentLength, bool exponentNegative) {
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int Decimal::exponent(const char * integralPart, int integralPartLength, const char * fractionalPart, int fractionalPartLength, const char * exponent, int exponentLength, bool exponentNegative) {
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int base = 10;
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int exp = 0;
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for (int i = 0; i < exponentLength; i++) {
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@@ -264,39 +239,72 @@ int DecimalReference::exponent(const char * integralPart, int integralPartLength
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return exp;
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}
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DecimalReference::DecimalReference(const char * integralPart, int integralPartLength, const char * fractionalPart, int fractionalPartLength, bool negative, int exponent) {
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IntegerReference zero(0);
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IntegerReference base(10);
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IntegerReference numerator(integralPart, integralPartLength, negative);
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Decimal::Decimal(const char * integralPart, int integralPartLength, const char * fractionalPart, int fractionalPartLength, bool negative, int exponent) : Number(nullptr) {
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Integer zero(0);
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Integer base(10);
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Integer numerator(integralPart, integralPartLength, negative);
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for (int i = 0; i < fractionalPartLength; i++) {
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numerator = IntegerReference::Multiplication(numerator, base);
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numerator = IntegerReference::Addition(numerator, IntegerReference(*fractionalPart-'0'));
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numerator = Integer::Multiplication(numerator, base);
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numerator = Integer::Addition(numerator, Integer(*fractionalPart-'0'));
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fractionalPart++;
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}
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*this = DecimalReference(numerator, exponent);
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*this = Decimal(numerator, exponent);
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}
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template <typename T>
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DecimalReference::DecimalReference(T f) {
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Decimal::Decimal(T f) : Number(nullptr) {
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assert(!std::isnan(f) && !std::isinf(f));
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int exp = IEEE754<T>::exponentBase10(f);
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int64_t mantissaf = std::round((double)f * std::pow((double)10.0, (double)(-exp+PrintFloat::k_numberOfStoredSignificantDigits+1)));
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IntegerReference m(mantissaf);
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*this= DecimalReference(IntegerReference(mantissaf), exp);
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Integer m(mantissaf);
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*this= Decimal(Integer(mantissaf), exp);
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}
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DecimalReference::DecimalReference(IntegerReference m, int e) {
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if (m.isAllocationFailure()) {
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*this = DecimalReference(ExpressionNode::FailedAllocationStaticNode());
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return;
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Decimal::Decimal(Integer m, int e) {
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*this = Decimal(sizeof(DecimalNode)+sizeof(native_uint_t)*m.numberOfDigits());
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node()->setValue(m.node()->digits(), m.node()->numberOfDigits(), e, m.isNegative());
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}
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Expression Decimal::shallowReduce(Context& context, Preferences::AngleUnit angleUnit) const {
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Expression e = Expression::shallowReduce(context, angleUnit);
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if (e.isUndefinedOrAllocationFailure()) {
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return e;
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}
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*this = DecimalReference(sizeof(DecimalNode)+sizeof(native_uint_t)*m.numberOfDigits());
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if (!node()->isAllocationFailure()) {
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static_cast<DecimalNode *>(node())->setValue(m.typedNode()->digits(), m.typedNode()->numberOfDigits(), e, m.isNegative());
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// this = e
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bool negative = sign() == ExpressionNode::Sign::Negative;
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int exp = node()->exponent();
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NaturalIntegerPointer m = node()->mantissa();
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Integer numerator(&m);
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removeZeroAtTheEnd(&numerator);
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int numberOfDigits = Integer::NumberOfBase10Digits(numerator);
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Integer denominator(1);
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if (exp >= numberOfDigits-1) {
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numerator = Integer::Multiplication(numerator, Integer::Power(Integer(10), Integer(exp-numberOfDigits+1)));
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} else {
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denominator = Integer::Power(Integer(10), Integer(numberOfDigits-1-exp));
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}
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// Do not reduce decimal to rational if the exponent is too big or too small.
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if (numerator.isInfinity()) {
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assert(!denominator.isInfinity());
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return Infinity(negative);
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}
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if (denominator.isInfinity()) {
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assert(!denominator.isInfinity());
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return Rational(0);
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}
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numerator.setNegative(negative);
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return Rational(numerator, denominator);
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}
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template DecimalReference::DecimalReference(double);
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template DecimalReference::DecimalReference(float);
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Expression Decimal::shallowBeautify(Context & context, Preferences::AngleUnit angleUnit) const {
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if (sign() == ExpressionNode::Sign::Negative) {
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Expression abs = setSign(ExpressionNode::Sign::Positive, context, angleUnit);
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return Opposite(abs);
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}
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return *this;
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}
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template Decimal::Decimal(double);
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template Decimal::Decimal(float);
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}
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