#include "sequence.h" #include "sequence_store.h" #include "cache_context.h" #include "../../poincare/src/layout/string_layout.h" #include "../../poincare/src/layout/baseline_relative_layout.h" #include #include using namespace Shared; using namespace Poincare; namespace Sequence { Sequence::Sequence(const char * text, KDColor color) : Function(text, color), m_type(Type::Explicit), m_firstInitialConditionText(), m_secondInitialConditionText(), m_firstInitialConditionExpression(nullptr), m_secondInitialConditionExpression(nullptr), m_firstInitialConditionLayout(nullptr), m_secondInitialConditionLayout(nullptr), m_nameLayout(nullptr), m_definitionName(nullptr), m_firstInitialConditionName(nullptr), m_secondInitialConditionName(nullptr), m_initialRank(0) { } Sequence::~Sequence() { if (m_firstInitialConditionLayout != nullptr) { delete m_firstInitialConditionLayout; m_firstInitialConditionLayout = nullptr; } if (m_secondInitialConditionLayout != nullptr) { delete m_secondInitialConditionLayout; m_secondInitialConditionLayout = nullptr; } if (m_firstInitialConditionExpression != nullptr) { delete m_firstInitialConditionExpression; m_firstInitialConditionExpression = nullptr; } if (m_secondInitialConditionExpression != nullptr) { delete m_secondInitialConditionExpression; m_secondInitialConditionExpression = nullptr; } if (m_nameLayout != nullptr) { delete m_nameLayout; m_nameLayout = nullptr; } if (m_definitionName != nullptr) { delete m_definitionName; m_definitionName = nullptr; } if (m_firstInitialConditionName != nullptr) { delete m_firstInitialConditionName; m_firstInitialConditionName = nullptr; } if (m_secondInitialConditionName != nullptr) { delete m_secondInitialConditionName; m_secondInitialConditionName = nullptr; } } Sequence& Sequence::operator=(const Sequence& other) { /* We temporarely store other's required features to be able to access them * after setType (which erase all contents and index buffer) even in case of * self assignement */ const char * contentText = other.text(); const char * firstInitialText = other.m_firstInitialConditionText; const char * secondInitialText = other.m_secondInitialConditionText; Function::operator=(other); setType(other.m_type); setInitialRank(other.m_initialRank); setContent(contentText); setFirstInitialConditionContent(firstInitialText); setSecondInitialConditionContent(secondInitialText); return *this; } uint32_t Sequence::checksum() { char data[k_dataLengthInBytes/sizeof(char)] = {}; strlcpy(data, text(), TextField::maxBufferSize()); strlcpy(data+TextField::maxBufferSize(), firstInitialConditionText(), TextField::maxBufferSize()); strlcpy(data+2*TextField::maxBufferSize(), secondInitialConditionText(), TextField::maxBufferSize()); int * intAdress = (int *)(&data[3*TextField::maxBufferSize()]); *intAdress = m_initialRank; data[k_dataLengthInBytes-3] = (char)m_type; data[k_dataLengthInBytes-2] = name()!= nullptr ? name()[0] : 0; data[k_dataLengthInBytes-1] = (char)(isActive() ? 1 : 0); return Ion::crc32((uint32_t *)data, k_dataLengthInBytes/sizeof(uint32_t)); } const char * Sequence::firstInitialConditionText() { return m_firstInitialConditionText; } const char * Sequence::secondInitialConditionText() { return m_secondInitialConditionText; } Sequence::Type Sequence::type() { return m_type; } void Sequence::setType(Type type) { if (m_type == Type::Explicit) { setInitialRank(0); } m_type = type; tidy(); /* Reset all contents */ switch (m_type) { case Type::Explicit: setContent(""); break; case Type::SingleRecurrence: { char ex[5] = "u(n)"; ex[0] = name()[0]; setContent(ex); break; } case Type::DoubleRecurrence: { char ex[12] = "u(n+1)+u(n)"; ex[0] = name()[0]; ex[7] = name()[0]; setContent(ex); break; } } setFirstInitialConditionContent(""); setSecondInitialConditionContent(""); } void Sequence::setInitialRank(int rank) { m_initialRank = rank; if (m_firstInitialConditionName != nullptr) { delete m_firstInitialConditionName; m_firstInitialConditionName = nullptr; } if (m_secondInitialConditionName != nullptr) { delete m_secondInitialConditionName; m_secondInitialConditionName = nullptr; } } Poincare::Expression * Sequence::firstInitialConditionExpression(Context * context) const { if (m_firstInitialConditionExpression == nullptr) { m_firstInitialConditionExpression = Poincare::Expression::ParseAndSimplify(m_firstInitialConditionText, *context); } return m_firstInitialConditionExpression; } Poincare::Expression * Sequence::secondInitialConditionExpression(Context * context) const { if (m_secondInitialConditionExpression == nullptr) { m_secondInitialConditionExpression = Poincare::Expression::ParseAndSimplify(m_secondInitialConditionText, *context); } return m_secondInitialConditionExpression; } Poincare::ExpressionLayout * Sequence::firstInitialConditionLayout() { if (m_firstInitialConditionLayout == nullptr) { Expression * nonSimplifedExpression = Expression::parse(m_firstInitialConditionText); if (nonSimplifedExpression) { m_firstInitialConditionLayout = nonSimplifedExpression->createLayout(Expression::FloatDisplayMode::Decimal); delete nonSimplifedExpression; } } return m_firstInitialConditionLayout; } Poincare::ExpressionLayout * Sequence::secondInitialConditionLayout() { if (m_secondInitialConditionLayout == nullptr) { Expression * nonSimplifedExpression = Expression::parse(m_secondInitialConditionText); if (nonSimplifedExpression) { m_secondInitialConditionLayout = nonSimplifedExpression->createLayout(Expression::FloatDisplayMode::Decimal); delete nonSimplifedExpression; } } return m_secondInitialConditionLayout; } void Sequence::setContent(const char * c) { Function::setContent(c); } void Sequence::setFirstInitialConditionContent(const char * c) { strlcpy(m_firstInitialConditionText, c, sizeof(m_firstInitialConditionText)); if (m_firstInitialConditionExpression != nullptr) { delete m_firstInitialConditionExpression; m_firstInitialConditionExpression = nullptr; } if (m_firstInitialConditionLayout != nullptr) { delete m_firstInitialConditionLayout; m_firstInitialConditionLayout = nullptr; } } void Sequence::setSecondInitialConditionContent(const char * c) { strlcpy(m_secondInitialConditionText, c, sizeof(m_secondInitialConditionText)); if (m_secondInitialConditionExpression != nullptr) { delete m_secondInitialConditionExpression; m_secondInitialConditionExpression = nullptr; } if (m_secondInitialConditionLayout != nullptr) { delete m_secondInitialConditionLayout; m_secondInitialConditionLayout = nullptr; } } char Sequence::symbol() const { return 'n'; } int Sequence::numberOfElements() { return (int)m_type + 1; } Poincare::ExpressionLayout * Sequence::nameLayout() { if (m_nameLayout == nullptr) { m_nameLayout = new BaselineRelativeLayout(new StringLayout(name(), 1), new StringLayout("n", 1, KDText::FontSize::Small), BaselineRelativeLayout::Type::Subscript); } return m_nameLayout; } Poincare::ExpressionLayout * Sequence::definitionName() { if (m_definitionName == nullptr) { if (m_type == Type::Explicit) { m_definitionName = new BaselineRelativeLayout(new StringLayout(name(), 1), new StringLayout("n ", 2, KDText::FontSize::Small), BaselineRelativeLayout::Type::Subscript); } if (m_type == Type::SingleRecurrence) { m_definitionName = new BaselineRelativeLayout(new StringLayout(name(), 1), new StringLayout("n+1 ", 4, KDText::FontSize::Small), BaselineRelativeLayout::Type::Subscript); } if (m_type == Type::DoubleRecurrence) { m_definitionName = new BaselineRelativeLayout(new StringLayout(name(), 1), new StringLayout("n+2 ", 4, KDText::FontSize::Small), BaselineRelativeLayout::Type::Subscript); } } return m_definitionName; } Poincare::ExpressionLayout * Sequence::firstInitialConditionName() { char buffer[k_initialRankNumberOfDigits+1]; Integer(m_initialRank).writeTextInBuffer(buffer, k_initialRankNumberOfDigits+1); if (m_firstInitialConditionName == nullptr) { if (m_type == Type::SingleRecurrence) { m_firstInitialConditionName = new BaselineRelativeLayout(new StringLayout(name(), 1), new StringLayout(buffer, strlen(buffer), KDText::FontSize::Small), BaselineRelativeLayout::Type::Subscript); } if (m_type == Type::DoubleRecurrence) { m_firstInitialConditionName = new BaselineRelativeLayout(new StringLayout(name(), 1), new StringLayout(buffer, strlen(buffer), KDText::FontSize::Small), BaselineRelativeLayout::Type::Subscript); } } return m_firstInitialConditionName; } Poincare::ExpressionLayout * Sequence::secondInitialConditionName() { char buffer[k_initialRankNumberOfDigits+1]; Integer(m_initialRank+1).writeTextInBuffer(buffer, k_initialRankNumberOfDigits+1); if (m_secondInitialConditionName == nullptr) { if (m_type == Type::DoubleRecurrence) { m_secondInitialConditionName = new BaselineRelativeLayout(new StringLayout(name(), 1), new StringLayout(buffer, strlen(buffer), KDText::FontSize::Small), BaselineRelativeLayout::Type::Subscript); } } return m_secondInitialConditionName; } bool Sequence::isDefined() { switch (m_type) { case Type::Explicit: return strlen(text()) != 0; case Type::SingleRecurrence: return strlen(text()) != 0 && strlen(firstInitialConditionText()) != 0; default: return strlen(text()) != 0 && strlen(firstInitialConditionText()) != 0 && strlen(secondInitialConditionText()) != 0; } } bool Sequence::isEmpty() { switch (m_type) { case Type::Explicit: return Function::isEmpty(); case Type::SingleRecurrence: return Function::isEmpty() && strlen(m_firstInitialConditionText) == 0; default: return Function::isEmpty() && strlen(m_firstInitialConditionText) == 0 && strlen(m_secondInitialConditionText) == 0; } } template T Sequence::templatedApproximateAtAbscissa(T x, SequenceContext * sqctx) const { T n = std::round(x); int sequenceIndex = name()[0] == SequenceStore::k_sequenceNames[0][0] ? 0 : 1; if (sqctx->iterateUntilRank(n)) { return sqctx->valueOfSequenceAtPreviousRank(sequenceIndex, 0); } return NAN; } template T Sequence::approximateToNextRank(int n, SequenceContext * sqctx) const { if (n < m_initialRank || n < 0) { return NAN; } CacheContext ctx = CacheContext(sqctx); T un = sqctx->valueOfSequenceAtPreviousRank(0, 0); T unm1 = sqctx->valueOfSequenceAtPreviousRank(0, 1); T unm2 = sqctx->valueOfSequenceAtPreviousRank(0, 2); T vn = sqctx->valueOfSequenceAtPreviousRank(1, 0); T vnm1 = sqctx->valueOfSequenceAtPreviousRank(1, 1); T vnm2 = sqctx->valueOfSequenceAtPreviousRank(1, 2); Poincare::Symbol nSymbol(symbol()); Poincare::Symbol vnSymbol(Symbol::SpecialSymbols::vn); Poincare::Symbol vn1Symbol(Symbol::SpecialSymbols::vn1); Poincare::Symbol unSymbol(Symbol::SpecialSymbols::un); Poincare::Symbol un1Symbol(Symbol::SpecialSymbols::un1); switch (m_type) { case Type::Explicit: { ctx.setValueForSymbol(un, &unSymbol); ctx.setValueForSymbol(vn, &vnSymbol); Poincare::Complex e = Poincare::Complex::Float(n); ctx.setExpressionForSymbolName(&e, &nSymbol, *sqctx); return expression(sqctx)->template approximateToScalar(ctx); } case Type::SingleRecurrence: { if (n == m_initialRank) { return firstInitialConditionExpression(sqctx)->template approximateToScalar(*sqctx); } ctx.setValueForSymbol(un, &un1Symbol); ctx.setValueForSymbol(unm1, &unSymbol); ctx.setValueForSymbol(vn, &vn1Symbol); ctx.setValueForSymbol(vnm1, &vnSymbol); Poincare::Complex e = Poincare::Complex::Float(n-1); ctx.setExpressionForSymbolName(&e, &nSymbol, *sqctx); return expression(sqctx)->template approximateToScalar(ctx); } default: { if (n == m_initialRank) { return firstInitialConditionExpression(sqctx)->template approximateToScalar(*sqctx); } if (n == m_initialRank+1) { return secondInitialConditionExpression(sqctx)->template approximateToScalar(*sqctx); } ctx.setValueForSymbol(unm1, &un1Symbol); ctx.setValueForSymbol(unm2, &unSymbol); ctx.setValueForSymbol(vnm1, &vn1Symbol); ctx.setValueForSymbol(vnm2, &vnSymbol); Poincare::Complex e = Poincare::Complex::Float(n-2); ctx.setExpressionForSymbolName(&e, &nSymbol, *sqctx); return expression(sqctx)->template approximateToScalar(ctx); } } } double Sequence::sumBetweenBounds(double start, double end, Context * context) const { double result = 0.0; if (end-start > k_maxNumberOfTermsInSum || start + 1.0 == start) { return NAN; } for (double i = std::round(start); i <= std::round(end); i = i + 1.0) { /* When |start| >> 1.0, start + 1.0 = start. In that case, quit the * infinite loop. */ if (i == i-1.0 || i == i+1.0) { return NAN; } result += evaluateAtAbscissa(i, context); } return result; } void Sequence::tidy() { Function::tidy(); if (m_firstInitialConditionLayout != nullptr) { delete m_firstInitialConditionLayout; m_firstInitialConditionLayout = nullptr; } if (m_secondInitialConditionLayout != nullptr) { delete m_secondInitialConditionLayout; m_secondInitialConditionLayout = nullptr; } if (m_firstInitialConditionExpression != nullptr) { delete m_firstInitialConditionExpression; m_firstInitialConditionExpression = nullptr; } if (m_secondInitialConditionExpression != nullptr) { delete m_secondInitialConditionExpression; m_secondInitialConditionExpression = nullptr; } if (m_nameLayout != nullptr) { delete m_nameLayout; m_nameLayout = nullptr; } if (m_definitionName != nullptr) { delete m_definitionName; m_definitionName = nullptr; } if (m_firstInitialConditionName != nullptr) { delete m_firstInitialConditionName; m_firstInitialConditionName = nullptr; } if (m_secondInitialConditionName != nullptr) { delete m_secondInitialConditionName; m_secondInitialConditionName = nullptr; } } template double Sequence::templatedApproximateAtAbscissa(double, SequenceContext*) const; template float Sequence::templatedApproximateAtAbscissa(float, SequenceContext*) const; template double Sequence::approximateToNextRank(int, SequenceContext*) const; template float Sequence::approximateToNextRank(int, SequenceContext*) const; }