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https://github.com/UpsilonNumworks/Upsilon.git
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[apps/sequence] In model, use float buffers to avoid recomputing all the
sequence to find a recurrent sequence value at an abscissa n Change-Id: Ic476a5065bbf7aa45c06aa3e9b4d3caa79dd18af
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@@ -21,7 +21,11 @@ Sequence::Sequence(const char * text, KDColor color) :
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m_nameLayout(nullptr),
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m_definitionName(nullptr),
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m_firstInitialConditionName(nullptr),
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m_secondInitialConditionName(nullptr)
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m_secondInitialConditionName(nullptr),
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m_indexBuffer1(-1),
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m_indexBuffer2(-1),
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m_buffer1(NAN),
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m_buffer2(NAN)
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{
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}
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@@ -104,6 +108,8 @@ void Sequence::setType(Type type) {
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m_firstInitialConditionName = new BaselineRelativeLayout(new StringLayout(name(), 1), new StringLayout("0", 1, KDText::FontSize::Small), BaselineRelativeLayout::Type::Subscript);
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m_secondInitialConditionName = new BaselineRelativeLayout(new StringLayout(name(), 1), new StringLayout("1", 1, KDText::FontSize::Small), BaselineRelativeLayout::Type::Subscript);
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}
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m_indexBuffer1 = -1;
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m_indexBuffer2 = -1;
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}
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Poincare::Expression * Sequence::firstInitialConditionExpression() {
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@@ -122,6 +128,12 @@ Poincare::ExpressionLayout * Sequence::secondInitialConditionLayout() {
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return m_secondInitialConditionLayout;
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}
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void Sequence::setContent(const char * c) {
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Function::setContent(c);
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m_indexBuffer1 = -1;
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m_indexBuffer2 = -1;
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}
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void Sequence::setFirstInitialConditionContent(const char * c) {
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strlcpy(m_firstInitialConditionText, c, sizeof(m_firstInitialConditionText));
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if (m_firstInitialConditionExpression != nullptr) {
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@@ -135,6 +147,8 @@ void Sequence::setFirstInitialConditionContent(const char * c) {
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if (m_firstInitialConditionExpression) {
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m_firstInitialConditionLayout = m_firstInitialConditionExpression->createLayout(Expression::FloatDisplayMode::Decimal);
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}
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m_indexBuffer1 = -1;
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m_indexBuffer2 = -1;
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}
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void Sequence::setSecondInitialConditionContent(const char * c) {
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@@ -150,6 +164,8 @@ void Sequence::setSecondInitialConditionContent(const char * c) {
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if (m_secondInitialConditionExpression) {
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m_secondInitialConditionLayout = m_secondInitialConditionExpression->createLayout(Expression::FloatDisplayMode::Decimal);
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}
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m_indexBuffer1 = -1;
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m_indexBuffer2 = -1;
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}
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char Sequence::symbol() const {
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@@ -197,39 +213,49 @@ float Sequence::evaluateAtAbscissa(float x, Poincare::Context * context) const {
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return Shared::Function::evaluateAtAbscissa(n, context);
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case Type::SingleRecurrence:
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{
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if (n < 0) {
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if (n < 0 || n > k_maxRecurrentRank) {
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return NAN;
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}
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if (n == 0) {
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return m_firstInitialConditionExpression->approximate(*context);
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m_indexBuffer1 = 0;
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m_buffer1 = m_firstInitialConditionExpression->approximate(*context);
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return m_buffer1;
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}
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float un = m_firstInitialConditionExpression->approximate(*context);
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LocalContext subContext = LocalContext(context);
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Poincare::Symbol nSymbol = Poincare::Symbol(symbol());
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for (int i = 0; i < n; i++) {
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int start = m_indexBuffer1 < 0 || m_indexBuffer1 > n ? 0 : m_indexBuffer1;
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float un = m_indexBuffer1 < 0 || m_indexBuffer1 > n ? m_firstInitialConditionExpression->approximate(*context) : m_buffer1;
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for (int i = start; i < n; i++) {
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subContext.setSequenceRankValue(un, 0);
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Poincare::Complex e = Poincare::Complex::Float(i);
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subContext.setExpressionForSymbolName(&e, &nSymbol);
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un = m_expression->approximate(subContext);
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}
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m_buffer1 = un;
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m_indexBuffer1 = n;
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return un;
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}
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default:
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{
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if (n < 0) {
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if (n < 0 || n > k_maxRecurrentRank) {
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return NAN;
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}
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if (n == 0) {
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return m_firstInitialConditionExpression->approximate(*context);
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}
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if (n == 1) {
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return m_secondInitialConditionExpression->approximate(*context);
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m_indexBuffer1 = 0;
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m_buffer1 = m_firstInitialConditionExpression->approximate(*context);
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m_indexBuffer2 = 1;
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m_buffer2 = m_secondInitialConditionExpression->approximate(*context);
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return m_buffer2;
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}
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float un = m_firstInitialConditionExpression->approximate(*context);
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float un1 = m_secondInitialConditionExpression->approximate(*context);
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LocalContext subContext = LocalContext(context);
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Poincare::Symbol nSymbol = Poincare::Symbol(symbol());
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for (int i = 0; i < n-1; i++) {
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int start = m_indexBuffer1 >= 0 && m_indexBuffer1 < n && m_indexBuffer2 > 0 && m_indexBuffer2 <= n && m_indexBuffer1 + 1 == m_indexBuffer2 ? m_indexBuffer1 : 0;
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float un = m_indexBuffer1 >= 0 && m_indexBuffer1 < n && m_indexBuffer2 > 0 && m_indexBuffer2 <= n && m_indexBuffer1 + 1 == m_indexBuffer2 ? m_buffer1 : m_firstInitialConditionExpression->approximate(*context);
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float un1 = m_indexBuffer1 >= 0 && m_indexBuffer1 < n && m_indexBuffer2 > 0 && m_indexBuffer2 <= n && m_indexBuffer1 + 1 == m_indexBuffer2 ? m_buffer2 : m_secondInitialConditionExpression->approximate(*context);
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for (int i = start; i < n-1; i++) {
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subContext.setSequenceRankValue(un, 0);
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subContext.setSequenceRankValue(un1, 1);
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Poincare::Complex e = Poincare::Complex::Float(i);
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@@ -237,6 +263,10 @@ float Sequence::evaluateAtAbscissa(float x, Poincare::Context * context) const {
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un = un1;
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un1 = m_expression->approximate(subContext);
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}
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m_buffer1 = un;
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m_indexBuffer1 = n-1;
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m_buffer2 = un1;
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m_indexBuffer2 = n;
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return un1;
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}
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}
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