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approximation encouters a complex value All approximation methods take the complex format into account.
224 lines
10 KiB
C++
224 lines
10 KiB
C++
#include <apps/shared/global_context.h>
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#include <string.h>
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#include <ion.h>
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#include <stdlib.h>
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#include <assert.h>
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#include <cmath>
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#include "helper.h"
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#if POINCARE_TESTS_PRINT_EXPRESSIONS
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#include "../src/expression_debug.h"
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#include <iostream>
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using namespace std;
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#endif
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using namespace Poincare;
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const char * MaxIntegerString() {
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static const char * s = "179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137215"; // (2^32)^k_maxNumberOfDigits-1
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return s;
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}
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const char * OverflowedIntegerString() {
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static const char * s = "179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216"; // (2^32)^k_maxNumberOfDigits
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return s;
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}
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const char * BigOverflowedIntegerString() {
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static const char * s = "279769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216"; // OverflowedIntegerString() with a 2 on first digit
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return s;
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}
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bool expressions_are_equal(Poincare::Expression expected, Poincare::Expression got) {
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bool identical = expected.isIdenticalTo(got);
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#if POINCARE_TREE_LOG
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if (!identical) {
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std::cout << "Expecting" << std::endl;
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expected.log();
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std::cout << "Got" << std::endl;
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got.log();
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}
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#endif
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return identical;
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}
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void translate_in_special_chars(char * expression) {
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for (char *c = expression; *c; c++) {
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switch (*c) {
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case 'E': *c = Ion::Charset::Exponent; break;
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case 'X': *c = Ion::Charset::Exponential; break;
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case 'I': *c = Ion::Charset::IComplex; break;
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case 'R': *c = Ion::Charset::Root; break;
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case 'P': *c = Ion::Charset::SmallPi; break;
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case '*': *c = Ion::Charset::MultiplicationSign; break;
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case '>': *c = Ion::Charset::Sto; break;
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case '?': *c = Poincare::Symbol::SpecialSymbols::UnknownX; break;
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case '$': *c = Ion::Charset::LeftSuperscript; break;
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case '#': *c = Ion::Charset::RightSuperscript; break;
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}
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}
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}
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void translate_in_ASCII_chars(char * expression) {
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for (char *c = expression; *c; c++) {
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switch (*c) {
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case Ion::Charset::Exponent: *c = 'E'; break;
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case Ion::Charset::Exponential: *c = 'X'; break;
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case Ion::Charset::IComplex: *c = 'I'; break;
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case Ion::Charset::Root: *c = 'R'; break;
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case Ion::Charset::SmallPi: *c = 'P'; break;
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case Ion::Charset::MultiplicationSign: *c = '*'; break;
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case Ion::Charset::MiddleDot: *c = '*'; break;
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case Ion::Charset::Sto: *c = '>'; break;
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case Poincare::Symbol::SpecialSymbols::UnknownX: *c = '?'; break;
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case Ion::Charset::LeftSuperscript: *c = '$'; break;
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case Ion::Charset::RightSuperscript: *c = '#'; break;
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}
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}
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}
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Expression parse_expression(const char * expression, bool canBeUnparsable) {
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quiz_print(expression);
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char buffer[500];
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strlcpy(buffer, expression, sizeof(buffer));
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translate_in_special_chars(buffer);
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Expression result = Expression::Parse(buffer);
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if (!canBeUnparsable) {
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quiz_assert(!result.isUninitialized());
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}
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return result;
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}
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void assert_expression_not_parsable(const char * expression) {
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Expression e = parse_expression(expression, true);
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quiz_assert(e.isUninitialized());
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}
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void assert_parsed_expression_type(const char * expression, Poincare::ExpressionNode::Type type) {
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Expression e = parse_expression(expression);
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quiz_assert(e.type() == type);
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}
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void assert_parsed_expression_is(const char * expression, Poincare::Expression r) {
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Expression e = parse_expression(expression);
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quiz_assert(expressions_are_equal(r, e));
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}
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void assert_parsed_expression_polynomial_degree(const char * expression, int degree, const char * symbolName, Preferences::ComplexFormat complexFormat) {
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Shared::GlobalContext globalContext;
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Expression e = parse_expression(expression);
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Expression result = e.clone().reduce(globalContext, complexFormat, Radian);
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if (result.isUninitialized()) {
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result = e;
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}
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quiz_assert(result.polynomialDegree(globalContext, symbolName) == degree);
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}
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void assert_simplify(const char * expression) {
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Shared::GlobalContext globalContext;
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Expression e = parse_expression(expression);
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quiz_assert(!e.isUninitialized());
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e = e.simplify(globalContext, Cartesian, Radian);
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quiz_assert(!e.isUninitialized());
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}
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typedef Expression (*ProcessExpression)(Expression, Context & context, Preferences::ComplexFormat complexFormat, Preferences::AngleUnit angleUnit);
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void assert_parsed_expression_process_to(const char * expression, const char * result, Preferences::ComplexFormat complexFormat, Preferences::AngleUnit angleUnit, ProcessExpression process, int numberOfSignifiantDigits = PrintFloat::k_numberOfStoredSignificantDigits) {
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Shared::GlobalContext globalContext;
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Expression e = parse_expression(expression);
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#if POINCARE_TESTS_PRINT_EXPRESSIONS
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cout << " Entry expression: " << expression << "----" << endl;
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print_expression(e, 0);
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#endif
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Expression m = process(e, globalContext, complexFormat, angleUnit);
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char buffer[500];
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m.serialize(buffer, sizeof(buffer), DecimalMode, numberOfSignifiantDigits);
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translate_in_ASCII_chars(buffer);
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#if POINCARE_TESTS_PRINT_EXPRESSIONS
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cout << "---- serialize to: " << buffer << " ----" << endl;
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cout << "----- compared to: " << result << " ----\n" << endl;
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#endif
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quiz_assert(strcmp(buffer, result) == 0);
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}
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template<typename T>
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void assert_parsed_expression_evaluates_to(const char * expression, const char * approximation, Preferences::AngleUnit angleUnit, Preferences::ComplexFormat complexFormat, int numberOfSignificantDigits) {
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#if POINCARE_TESTS_PRINT_EXPRESSIONS
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cout << "--------- Approximation ---------" << endl;
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#endif
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int numberOfDigits = sizeof(T) == sizeof(double) ? PrintFloat::k_numberOfStoredSignificantDigits : PrintFloat::k_numberOfPrintedSignificantDigits;
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numberOfDigits = numberOfSignificantDigits > 0 ? numberOfSignificantDigits : numberOfDigits;
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assert_parsed_expression_process_to(expression, approximation, complexFormat, angleUnit, [](Expression e, Context & context, Preferences::ComplexFormat complexFormat, Preferences::AngleUnit angleUnit) {
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Expression result = e.clone().simplify(context, complexFormat, angleUnit);
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if (result.isUninitialized()) {
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result = e;
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}
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return result.approximate<T>(context, complexFormat, angleUnit);
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}, numberOfDigits);
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}
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template<typename T>
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void assert_parsed_expression_approximates_with_value_for_symbol(Expression expression, const char * symbol, T value, T approximation, Poincare::Preferences::ComplexFormat complexFormat, Poincare::Preferences::AngleUnit angleUnit) {
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Shared::GlobalContext globalContext;
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T result = expression.approximateWithValueForSymbol(symbol, value, globalContext, complexFormat, angleUnit);
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quiz_assert((std::isnan(result) && std::isnan(approximation)) || std::fabs(result - approximation) < 10.0*Expression::epsilon<T>());
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}
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void assert_parsed_expression_simplify_to(const char * expression, const char * simplifiedExpression, Preferences::AngleUnit angleUnit, Preferences::ComplexFormat complexFormat) {
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#if POINCARE_TESTS_PRINT_EXPRESSIONS
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cout << "--------- Simplification ---------" << endl;
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#endif
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assert_parsed_expression_process_to(expression, simplifiedExpression, complexFormat, angleUnit, [](Expression e, Context & context, Preferences::ComplexFormat complexFormat, Preferences::AngleUnit angleUnit) {
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Expression copy = e.clone();
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copy.simplifyAndApproximate(©, nullptr, context, complexFormat, angleUnit);
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if (copy.isUninitialized()) {
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return e;
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}
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return copy;
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});
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}
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void assert_parsed_expression_serialize_to(Expression expression, const char * serializedExpression, Preferences::PrintFloatMode mode, int numberOfSignifiantDigits) {
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#if POINCARE_TESTS_PRINT_EXPRESSIONS
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cout << "--------- Serialization ---------" << endl;
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#endif
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char buffer[500];
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expression.serialize(buffer, sizeof(buffer), mode, numberOfSignifiantDigits);
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translate_in_ASCII_chars(buffer);
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quiz_assert(strcmp(buffer, serializedExpression) == 0);
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}
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void assert_parsed_expression_layout_serialize_to_self(const char * expressionLayout) {
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Expression e = parse_expression(expressionLayout);
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#if POINCARE_TESTS_PRINT_EXPRESSIONS
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cout << "---- Serialize: " << expressionLayout << "----" << endl;
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#endif
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Layout el = e.createLayout(DecimalMode, PrintFloat::k_numberOfStoredSignificantDigits);
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constexpr int bufferSize = 255;
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char buffer[bufferSize];
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el.serializeForParsing(buffer, bufferSize);
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#if POINCARE_TESTS_PRINT_EXPRESSIONS
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cout << "---- serialized to: " << buffer << " ----\n" << endl;
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#endif
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quiz_assert(strcmp(expressionLayout, buffer) == 0);
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}
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void assert_expression_layout_serialize_to(Poincare::Layout layout, const char * serialization) {
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constexpr int bufferSize = 255;
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char buffer[bufferSize];
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layout.serializeForParsing(buffer, bufferSize);
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translate_in_ASCII_chars(buffer);
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#if POINCARE_TESTS_PRINT_EXPRESSIONS
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cout << "---- Serialize: " << serialization << "----" << endl;
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cout << "---- serialized to: " << buffer << " ----" << endl;
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cout << "----- compared to: " << serialization << " ----\n" << endl;
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#endif
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quiz_assert(strcmp(serialization, buffer) == 0);
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}
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template void assert_parsed_expression_evaluates_to<float>(char const*, char const *, Poincare::Preferences::AngleUnit, Poincare::Preferences::ComplexFormat, int);
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template void assert_parsed_expression_evaluates_to<double>(char const*, char const *, Poincare::Preferences::AngleUnit, Poincare::Preferences::ComplexFormat, int);
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template void assert_parsed_expression_approximates_with_value_for_symbol(Poincare::Expression, const char *, float, float, Poincare::Preferences::ComplexFormat, Poincare::Preferences::AngleUnit);
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template void assert_parsed_expression_approximates_with_value_for_symbol(Poincare::Expression, const char *, double, double, Poincare::Preferences::ComplexFormat, Poincare::Preferences::AngleUnit);
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