expression.cpp
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#include <poincare/expression.h>
#include <poincare/preferences.h>
#include <poincare/symbol.h>
#include <poincare/dynamic_hierarchy.h>
#include <poincare/static_hierarchy.h>
#include <poincare/list_data.h>
#include <poincare/matrix_data.h>
#include <poincare/undefined.h>
#include <poincare/simplification_root.h>
#include <poincare/rational.h>
#include <poincare/matrix.h>
#include <poincare/complex.h>
#include <cmath>
#include "expression_parser.hpp"
#include "expression_lexer.hpp"
int poincare_expression_yyparse(Poincare::Expression ** expressionOutput);
namespace Poincare {
#include <stdio.h>
/* Constructor & Destructor */
Expression * Expression::parse(char const * string) {
if (string[0] == 0) {
return nullptr;
}
YY_BUFFER_STATE buf = poincare_expression_yy_scan_string(string);
Expression * expression = 0;
if (poincare_expression_yyparse(&expression) != 0) {
// Parsing failed because of invalid input or memory exhaustion
if (expression != nullptr) {
delete expression;
expression = nullptr;
}
}
poincare_expression_yy_delete_buffer(buf);
return expression;
}
void Expression::ReplaceSymbolWithExpression(Expression ** expressionAddress, char symbol, Expression * expression) {
SimplificationRoot root(*expressionAddress);
root.editableOperand(0)->replaceSymbolWithExpression(symbol, expression);
*expressionAddress = root.editableOperand(0);
}
Expression * Expression::replaceSymbolWithExpression(char symbol, Expression * expression) {
for (int i = 0; i < numberOfOperands(); i++) {
editableOperand(i)->replaceSymbolWithExpression(symbol, expression);
}
return this;
}
/* Circuit breaker */
static Expression::CircuitBreaker sCircuitBreaker = nullptr;
static bool sSimplificationHasBeenInterrupted = false;
void Expression::setCircuitBreaker(CircuitBreaker cb) {
sCircuitBreaker = cb;
}
bool Expression::shouldStopProcessing() {
if (sCircuitBreaker == nullptr) {
return false;
}
if (sCircuitBreaker()) {
sSimplificationHasBeenInterrupted = true;
return true;
}
return false;
}
/* Hierarchy */
const Expression * Expression::operand(int i) const {
assert(i >= 0);
assert(i < numberOfOperands());
assert(operands()[i]->parent() == nullptr || operands()[i]->parent() == this);
return operands()[i];
}
Expression * Expression::replaceWith(Expression * newOperand, bool deleteAfterReplace) {
assert(m_parent != nullptr);
m_parent->replaceOperand(this, newOperand, deleteAfterReplace);
return newOperand;
}
void Expression::replaceOperand(const Expression * oldOperand, Expression * newOperand, bool deleteOldOperand) {
assert(newOperand != nullptr);
// Caution: handle the case where we replace an operand with a descendant of ours.
if (newOperand->hasAncestor(this)) {
newOperand->parent()->detachOperand(newOperand);
}
Expression ** op = const_cast<Expression **>(operands());
for (int i=0; i<numberOfOperands(); i++) {
if (op[i] == oldOperand) {
if (oldOperand != nullptr && oldOperand->parent() == this) {
const_cast<Expression *>(oldOperand)->setParent(nullptr);
}
if (deleteOldOperand) {
delete oldOperand;
}
if (newOperand != nullptr) {
const_cast<Expression *>(newOperand)->setParent(this);
}
op[i] = newOperand;
break;
}
}
}
void Expression::detachOperand(const Expression * e) {
Expression ** op = const_cast<Expression **>(operands());
for (int i=0; i<numberOfOperands(); i++) {
if (op[i] == e) {
detachOperandAtIndex(i);
}
}
}
void Expression::detachOperands() {
for (int i=0; i<numberOfOperands(); i++) {
detachOperandAtIndex(i);
}
}
void Expression::detachOperandAtIndex(int i) {
Expression ** op = const_cast<Expression **>(operands());
// When detachOperands is called, it's very likely that said operands have been stolen
if (op[i] != nullptr && op[i]->parent() == this) {
const_cast<Expression *>(op[i])->setParent(nullptr);
}
op[i] = nullptr;
}
void Expression::swapOperands(int i, int j) {
assert(i >= 0 && i < numberOfOperands());
assert(j >= 0 && j < numberOfOperands());
Expression ** op = const_cast<Expression **>(operands());
Expression * temp = op[i];
op[i] = op[j];
op[j] = temp;
}
bool Expression::hasAncestor(const Expression * e) const {
assert(m_parent != this);
if (m_parent == e) {
return true;
}
if (m_parent == nullptr) {
return false;
}
return m_parent->hasAncestor(e);
}
/* Properties */
bool Expression::recursivelyMatches(ExpressionTest test, Context & context) const {
if (test(this, context)) {
return true;
}
for (int i = 0; i < numberOfOperands(); i++) {
if (operand(i)->recursivelyMatches(test, context)) {
return true;
}
}
return false;
}
bool Expression::isApproximate(Context & context) const {
return recursivelyMatches([](const Expression * e, Context & context) {
return e->type() == Expression::Type::Decimal || e->type() == Expression::Type::Complex || Expression::IsMatrix(e, context) || (e->type() == Expression::Type::Symbol && static_cast<const Symbol *>(e)->isApproximate(context));
}, context);
}
bool Expression::IsMatrix(const Expression * e, Context & context) {
return e->type() == Type::Matrix || e->type() == Type::ConfidenceInterval || e->type() == Type::MatrixDimension || e->type() == Type::PredictionInterval || e->type() == Type::MatrixInverse || e->type() == Type::MatrixTranspose || (e->type() == Type::Symbol && static_cast<const Symbol *>(e)->isMatrixSymbol());
}
bool Expression::isOfType(Type * types, int length) const {
for (int i = 0; i < length; i++) {
if (type() == types[i]) {
return true;
}
}
return false;
}
bool Expression::needParenthesisWithParent(const Expression * e) const {
return false;
}
/* Comparison */
int Expression::SimplificationOrder(const Expression * e1, const Expression * e2, bool canBeInterrupted) {
if (e1->type() > e2->type()) {
if (canBeInterrupted && shouldStopProcessing()) {
return 1;
}
return -(e2->simplificationOrderGreaterType(e1, canBeInterrupted));
} else if (e1->type() == e2->type()) {
return e1->simplificationOrderSameType(e2, canBeInterrupted);
} else {
if (canBeInterrupted && shouldStopProcessing()) {
return -1;
}
return e1->simplificationOrderGreaterType(e2, canBeInterrupted);
}
}
/* Layout */
ExpressionLayout * Expression::createLayout(FloatDisplayMode floatDisplayMode, ComplexFormat complexFormat) const {
switch (floatDisplayMode) {
case FloatDisplayMode::Default:
switch (complexFormat) {
case ComplexFormat::Default:
return privateCreateLayout(Preferences::sharedPreferences()->displayMode(), Preferences::sharedPreferences()->complexFormat());
default:
return privateCreateLayout(Preferences::sharedPreferences()->displayMode(), complexFormat);
}
default:
switch (complexFormat) {
case ComplexFormat::Default:
return privateCreateLayout(floatDisplayMode, Preferences::sharedPreferences()->complexFormat());
default:
return privateCreateLayout(floatDisplayMode, complexFormat);
}
}
}
/* Simplification */
Expression * Expression::ParseAndSimplify(const char * text, Context & context, AngleUnit angleUnit) {
Expression * exp = parse(text);
if (exp == nullptr) {
return new Undefined();
}
Simplify(&exp, context, angleUnit);
if (exp == nullptr) {
return parse(text);
}
return exp;
}
void Expression::Simplify(Expression ** expressionAddress, Context & context, AngleUnit angleUnit) {
sSimplificationHasBeenInterrupted = false;
if (angleUnit == AngleUnit::Default) {
angleUnit = Preferences::sharedPreferences()->angleUnit();
}
#if MATRIX_EXACT_REDUCING
#else
if ((*expressionAddress)->recursivelyMatches(IsMatrix, context)) {
return;
}
#endif
SimplificationRoot root(*expressionAddress);
root.editableOperand(0)->deepReduce(context, angleUnit);
root.editableOperand(0)->deepBeautify(context, angleUnit);
*expressionAddress = root.editableOperand(0);
if (sSimplificationHasBeenInterrupted) {
root.detachOperands();
delete *expressionAddress;
*expressionAddress = nullptr;
}
}
void Expression::Reduce(Expression ** expressionAddress, Context & context, AngleUnit angleUnit, bool recursively) {
SimplificationRoot root(*expressionAddress);
if (recursively) {
root.editableOperand(0)->deepReduce(context, angleUnit);
} else {
root.editableOperand(0)->shallowReduce(context,angleUnit);
}
*expressionAddress = root.editableOperand(0);
}
Expression * Expression::deepReduce(Context & context, AngleUnit angleUnit) {
assert(parent() != nullptr);
for (int i = 0; i < numberOfOperands(); i++) {
editableOperand(i)->deepReduce(context, angleUnit);
}
return shallowReduce(context, angleUnit);
}
Expression * Expression::shallowReduce(Context & context, AngleUnit angleUnit) {
for (int i = 0; i < numberOfOperands(); i++) {
if (editableOperand(i)->type() == Type::Undefined && this->type() != Type::SimplificationRoot) {
return replaceWith(new Undefined(), true);
}
}
return this;
}
Expression * Expression::deepBeautify(Context & context, AngleUnit angleUnit) {
assert(parent() != nullptr);
Expression * e = shallowBeautify(context, angleUnit);
for (int i = 0; i < e->numberOfOperands(); i++) {
e->editableOperand(i)->deepBeautify(context, angleUnit);
}
return e;
}
/* Evaluation */
template<typename T> Expression * Expression::approximate(Context& context, AngleUnit angleUnit) const {
switch (angleUnit) {
case AngleUnit::Default:
return privateApproximate(T(), context, Preferences::sharedPreferences()->angleUnit());
default:
return privateApproximate(T(), context, angleUnit);
}
}
template<typename T> T Expression::approximateToScalar(Context& context, AngleUnit angleUnit) const {
Expression * evaluation = approximate<T>(context, angleUnit);
assert(evaluation->type() == Type::Complex || evaluation->type() == Type::Matrix);
T result = NAN;
if (evaluation->type() == Type::Complex) {
result = static_cast<const Complex<T> *>(evaluation)->toScalar();
}
/*if (evaluation->type() == Type::Matrix) {
if (numberOfOperands() == 1) {
result = static_cast<const Complex<T> *>(operand(0))->toScalar();
}
}*/
delete evaluation;
return result;
}
template<typename T> T Expression::approximateToScalar(const char * text, Context& context, AngleUnit angleUnit) {
Expression * exp = ParseAndSimplify(text, context, angleUnit);
T result = exp->approximateToScalar<T>(context, angleUnit);
delete exp;
return result;
}
template<typename T> T Expression::epsilon() {
static T epsilon = sizeof(T) == sizeof(double) ? 1E-15 : 1E-7f;
return epsilon;
}
}
template Poincare::Expression * Poincare::Expression::approximate<double>(Context& context, AngleUnit angleUnit) const;
template Poincare::Expression * Poincare::Expression::approximate<float>(Context& context, AngleUnit angleUnit) const;
template double Poincare::Expression::approximateToScalar<double>(char const*, Poincare::Context&, Poincare::Expression::AngleUnit);
template float Poincare::Expression::approximateToScalar<float>(char const*, Poincare::Context&, Poincare::Expression::AngleUnit);
template double Poincare::Expression::approximateToScalar<double>(Poincare::Context&, Poincare::Expression::AngleUnit) const;
template float Poincare::Expression::approximateToScalar<float>(Poincare::Context&, Poincare::Expression::AngleUnit) const;
template double Poincare::Expression::epsilon<double>();
template float Poincare::Expression::epsilon<float>();