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Upsilon/poincare/test/parsing.cpp

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#include <poincare/init.h>
#include <poincare/exception_checkpoint.h>
#include <poincare/src/parsing/parser.h>
#include <apps/shared/global_context.h>
#include "tree/helpers.h"
#include "helper.h"
using namespace Poincare;
void assert_tokenizes_as(const Token::Type * tokenTypes, const char * string) {
Tokenizer tokenizer(string);
while (true) {
Token token = tokenizer.popToken();
quiz_assert_print_if_failure(token.type() == *tokenTypes, string);
if (token.type() == Token::EndOfStream) {
return;
}
tokenTypes++;
}
}
void assert_tokenizes_as_number(const char * string) {
const Token::Type types[] = {Token::Number, Token::EndOfStream};
assert_tokenizes_as(types, string);
}
void assert_tokenizes_as_unit(const char * string) {
const Token::Type types[] = {Token::Unit, Token::EndOfStream};
assert_tokenizes_as(types, string);
}
void assert_tokenizes_as_undefined_token(const char * string) {
Tokenizer tokenizer(string);
while (true) {
Token token = tokenizer.popToken();
if (token.type() == Token::Undefined) {
return;
}
quiz_assert_print_if_failure(token.type() != Token::EndOfStream, string);
}
}
void assert_text_not_parsable(const char * text) {
Expression result = Expression::Parse(text, nullptr);
quiz_assert_print_if_failure(result.isUninitialized(), text);
}
void assert_parsed_expression_is(const char * expression, Poincare::Expression r, bool addParentheses = false) {
Shared::GlobalContext context;
Expression e = parse_expression(expression, &context, addParentheses);
quiz_assert_print_if_failure(e.isIdenticalTo(r), expression);
}
void assert_parsed_expression_with_user_parentheses_is(const char * expression, Poincare::Expression r) { return assert_parsed_expression_is(expression, r, true); }
QUIZ_CASE(poincare_parsing_tokenize_numbers) {
assert_tokenizes_as_number("1");
assert_tokenizes_as_number("12");
assert_tokenizes_as_number("123");
assert_tokenizes_as_number("1.3");
assert_tokenizes_as_number(".3");
assert_tokenizes_as_number("1.3ᴇ3");
assert_tokenizes_as_number("12.34ᴇ56");
assert_tokenizes_as_number(".3ᴇ-32");
assert_tokenizes_as_number("12.");
assert_tokenizes_as_number(".999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999");
assert_tokenizes_as_number("0.");
assert_tokenizes_as_number("1.ᴇ-4");
assert_tokenizes_as_number("1.ᴇ9999");
const Token::Type binaryType[] = {Token::BinaryNumber, Token::EndOfStream};
assert_tokenizes_as(binaryType, "0b0011010101");
const Token::Type hexadecimalType[] = {Token::HexadecimalNumber, Token::EndOfStream};
assert_tokenizes_as(hexadecimalType, "0x1234567890ABCDEF");
assert_tokenizes_as_undefined_token("1ᴇ");
assert_tokenizes_as_undefined_token("1..");
assert_tokenizes_as_undefined_token("..");
assert_tokenizes_as_undefined_token("1.ᴇᴇ");
assert_tokenizes_as_undefined_token("1.ᴇ");
assert_tokenizes_as_undefined_token("1ᴇ--4");
assert_tokenizes_as_undefined_token("1.ᴇᴇ4");
assert_tokenizes_as_undefined_token("1ᴇ2ᴇ4");
assert_tokenizes_as_undefined_token("0b2");
assert_tokenizes_as_undefined_token("0xG");
}
QUIZ_CASE(poincare_parsing_memory_exhaustion) {
int initialPoolSize = pool_size();
assert_parsed_expression_is("2+3",Addition::Builder(BasedInteger::Builder(2), BasedInteger::Builder(3)));
assert_pool_size(initialPoolSize);
int memoryFailureHasBeenHandled = false;
{
Poincare::ExceptionCheckpoint ecp;
if (ExceptionRun(ecp)) {
Addition a = Addition::Builder();
while (true) {
Expression e = Expression::Parse("1+2+3+4+5+6+7+8+9+10", nullptr);
a.addChildAtIndexInPlace(e, 0, a.numberOfChildren());
}
} else {
Poincare::Tidy();
memoryFailureHasBeenHandled = true;
}
}
quiz_assert(memoryFailureHasBeenHandled);
assert_pool_size(initialPoolSize);
Expression e = Expression::Parse("1+1", nullptr);
/* Stupid check to make sure the global variable generated by Bison is not
* ruining everything */
}
QUIZ_CASE(poincare_parsing_parse_numbers) {
// Parse decimal
assert_parsed_expression_is("0", BasedInteger::Builder(0));
assert_parsed_expression_is("0.1", Decimal::Builder(0.1));
assert_parsed_expression_is("1.", BasedInteger::Builder(1));
assert_parsed_expression_is(".1", Decimal::Builder(0.1));
assert_parsed_expression_is("0ᴇ2", Decimal::Builder(0.0));
assert_parsed_expression_is("0.1ᴇ2", Decimal::Builder(10.0));
assert_parsed_expression_is("1.ᴇ2", Decimal::Builder(100.0));
assert_parsed_expression_is(".1ᴇ2", Decimal::Builder(10.0));
assert_parsed_expression_is("0ᴇ-2", Decimal::Builder(0.0));
assert_parsed_expression_is("0.1ᴇ-2", Decimal::Builder(0.001));
assert_parsed_expression_is("1.ᴇ-2", Decimal::Builder(0.01));
assert_parsed_expression_is(".1ᴇ-2", Decimal::Builder(0.001));
// Decimal with rounding when digits are above 14
assert_parsed_expression_is("0.0000012345678901234", Decimal::Builder(Integer("12345678901234"), -6));
assert_parsed_expression_is("0.00000123456789012345", Decimal::Builder(Integer("12345678901235"), -6));
assert_parsed_expression_is("0.00000123456789012341", Decimal::Builder(Integer("12345678901234"), -6));
assert_parsed_expression_is("1234567890123.4", Decimal::Builder(Integer("12345678901234"), 12));
assert_parsed_expression_is("123456789012345.2", Decimal::Builder(Integer("12345678901235"), 14));
assert_parsed_expression_is("123456789012341.2", Decimal::Builder(Integer("12345678901234"), 14));
assert_parsed_expression_is("12.34567", Decimal::Builder(Integer("1234567"), 1));
assert_parsed_expression_is(".999999999999990", Decimal::Builder(Integer("99999999999999"), -1));
assert_parsed_expression_is("9.99999999999994", Decimal::Builder(Integer("99999999999999"), 0));
assert_parsed_expression_is("99.9999999999995", Decimal::Builder(Integer("100000000000000"), 2));
assert_parsed_expression_is("999.999999999999", Decimal::Builder(Integer("100000000000000"), 3));
assert_parsed_expression_is("9999.99199999999", Decimal::Builder(Integer("99999920000000"), 3));
assert_parsed_expression_is("99299.9999999999", Decimal::Builder(Integer("99300000000000"), 4));
// Parse integer
assert_parsed_expression_is("123456789012345678765434567", BasedInteger::Builder("123456789012345678765434567"));
assert_parsed_expression_is(MaxIntegerString(), BasedInteger::Builder(MaxIntegerString()));
// Parsed Based integer
assert_parsed_expression_is("0b1011", BasedInteger::Builder("1011", 4, Integer::Base::Binary));
assert_parsed_expression_is("0x12AC", BasedInteger::Builder("12AC", 4, Integer::Base::Hexadecimal));
// Integer parsed in Decimal because they overflow Integer
assert_parsed_expression_is(OverflowedIntegerString(), Decimal::Builder(Integer("17976931348623"), 308));
assert_parsed_expression_is("179769313486235590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216", Decimal::Builder(Integer("17976931348624"), 308));
// Infinity
assert_parsed_expression_is("23ᴇ1000", Infinity::Builder(false));
assert_parsed_expression_is("2.3ᴇ1000", Decimal::Builder(Integer(23), 1000));
// Zero
assert_parsed_expression_is("0.23ᴇ-1000", Decimal::Builder(Integer(0), 0));
assert_parsed_expression_is("0.23ᴇ-999", Decimal::Builder(Integer(23), -1000));
}
QUIZ_CASE(poincare_parsing_parse) {
assert_parsed_expression_is("1", BasedInteger::Builder(1));
assert_parsed_expression_is("(1)", Parenthesis::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("((1))", Parenthesis::Builder((Expression)Parenthesis::Builder(BasedInteger::Builder(1))));
assert_parsed_expression_is("1+2", Addition::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("(1)+2", Addition::Builder(Parenthesis::Builder(BasedInteger::Builder(1)),BasedInteger::Builder(2)));
assert_parsed_expression_is("(1+2)", Parenthesis::Builder(Addition::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2))));
Expression::Tuple one_two_three = {BasedInteger::Builder(1),BasedInteger::Builder(2),BasedInteger::Builder(3)};
assert_parsed_expression_is("1+2+3", Addition::Builder(one_two_three));
assert_parsed_expression_is("1+2+(3+4)", Addition::Builder({BasedInteger::Builder(1), BasedInteger::Builder(2), Parenthesis::Builder(Addition::Builder(BasedInteger::Builder(3),BasedInteger::Builder(4)))}));
assert_parsed_expression_is("1×2", Multiplication::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("1×2×3", Multiplication::Builder(one_two_three));
assert_parsed_expression_is("1+2×3", Addition::Builder(BasedInteger::Builder(1), Multiplication::Builder(BasedInteger::Builder(2), BasedInteger::Builder(3))));
assert_parsed_expression_is("1/2", Division::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("(1/2)", Parenthesis::Builder(Division::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2))));
assert_parsed_expression_is("1/2/3", Division::Builder(Division::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)),BasedInteger::Builder(3)));
assert_parsed_expression_is("1/2×3", Multiplication::Builder(Division::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)),BasedInteger::Builder(3)));
assert_parsed_expression_is("(1/2×3)", Parenthesis::Builder(Multiplication::Builder(Division::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)),BasedInteger::Builder(3))));
assert_parsed_expression_is("1×2/3", Multiplication::Builder(BasedInteger::Builder(1),Division::Builder(BasedInteger::Builder(2),BasedInteger::Builder(3))));
assert_parsed_expression_is("(1×2/3)", Parenthesis::Builder(Multiplication::Builder(BasedInteger::Builder(1),Division::Builder(BasedInteger::Builder(2),BasedInteger::Builder(3)))));
assert_parsed_expression_is("(1/2/3)", Parenthesis::Builder(Division::Builder(Division::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)),BasedInteger::Builder(3))));
assert_parsed_expression_is("1^2", Power::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("1^2^3", Power::Builder(BasedInteger::Builder(1),Power::Builder(BasedInteger::Builder(2),BasedInteger::Builder(3))));
assert_parsed_expression_is("1=2", Equal::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_text_not_parsable("=5");
assert_text_not_parsable("1=2=3");
assert_parsed_expression_is("-1", Opposite::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("(-1)", Parenthesis::Builder(Opposite::Builder(BasedInteger::Builder(1))));
assert_parsed_expression_is("1-2", Subtraction::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("-1-2", Subtraction::Builder(Opposite::Builder(BasedInteger::Builder(1)),BasedInteger::Builder(2)));
assert_parsed_expression_is("1-2-3", Subtraction::Builder(Subtraction::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)),BasedInteger::Builder(3)));
assert_parsed_expression_is("(1-2)", Parenthesis::Builder(Subtraction::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2))));
assert_parsed_expression_is("1+-2", Addition::Builder(BasedInteger::Builder(1),Opposite::Builder(BasedInteger::Builder(2))));
assert_parsed_expression_is("--1", Opposite::Builder((Expression)Opposite::Builder(BasedInteger::Builder(1))));
assert_parsed_expression_is("(1+2)-3", Subtraction::Builder(Parenthesis::Builder(Addition::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2))),BasedInteger::Builder(3)));
assert_parsed_expression_is("(2×-3)", Parenthesis::Builder(Multiplication::Builder(BasedInteger::Builder(2),Opposite::Builder(BasedInteger::Builder(3)))));
assert_parsed_expression_is("1^(2)-3", Subtraction::Builder(Power::Builder(BasedInteger::Builder(1),Parenthesis::Builder(BasedInteger::Builder(2))),BasedInteger::Builder(3)));
assert_parsed_expression_is("1^2-3", Subtraction::Builder(Power::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)),BasedInteger::Builder(3)));
assert_parsed_expression_is("2^-3", Power::Builder(BasedInteger::Builder(2),Opposite::Builder(BasedInteger::Builder(3))));
assert_parsed_expression_is("2--2+-1", Addition::Builder(Subtraction::Builder(BasedInteger::Builder(2),Opposite::Builder(BasedInteger::Builder(2))),Opposite::Builder(BasedInteger::Builder(1))));
assert_parsed_expression_is("2--2×-1", Subtraction::Builder(BasedInteger::Builder(2),Opposite::Builder(Multiplication::Builder(BasedInteger::Builder(2),Opposite::Builder(BasedInteger::Builder(1))))));
assert_parsed_expression_is("-1^2", Opposite::Builder(Power::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2))));
assert_parsed_expression_is("2ℯ^(3)", Multiplication::Builder(BasedInteger::Builder(2),Power::Builder(Constant::Builder(UCodePointScriptSmallE),Parenthesis::Builder(BasedInteger::Builder(3)))));
assert_parsed_expression_is("2/-3/-4", Division::Builder(Division::Builder(BasedInteger::Builder(2),Opposite::Builder(BasedInteger::Builder(3))),Opposite::Builder(BasedInteger::Builder(4))));
assert_parsed_expression_is("1×2-3×4", Subtraction::Builder(Multiplication::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)),Multiplication::Builder(BasedInteger::Builder(3),BasedInteger::Builder(4))));
assert_parsed_expression_is("-1×2", Opposite::Builder(Multiplication::Builder(BasedInteger::Builder(1), BasedInteger::Builder(2))));
assert_parsed_expression_is("1!", Factorial::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("1+2!", Addition::Builder(BasedInteger::Builder(1),Factorial::Builder(BasedInteger::Builder(2))));
assert_parsed_expression_is("1!+2", Addition::Builder(Factorial::Builder(BasedInteger::Builder(1)),BasedInteger::Builder(2)));
assert_parsed_expression_is("1!+2!", Addition::Builder(Factorial::Builder(BasedInteger::Builder(1)),Factorial::Builder(BasedInteger::Builder(2))));
assert_parsed_expression_is("1×2!", Multiplication::Builder(BasedInteger::Builder(1),Factorial::Builder(BasedInteger::Builder(2))));
assert_parsed_expression_is("1!×2", Multiplication::Builder(Factorial::Builder(BasedInteger::Builder(1)),BasedInteger::Builder(2)));
assert_parsed_expression_is("1!×2!", Multiplication::Builder(Factorial::Builder(BasedInteger::Builder(1)),Factorial::Builder(BasedInteger::Builder(2))));
assert_parsed_expression_is("1-2!", Subtraction::Builder(BasedInteger::Builder(1),Factorial::Builder(BasedInteger::Builder(2))));
assert_parsed_expression_is("1!-2", Subtraction::Builder(Factorial::Builder(BasedInteger::Builder(1)),BasedInteger::Builder(2)));
assert_parsed_expression_is("1!-2!", Subtraction::Builder(Factorial::Builder(BasedInteger::Builder(1)),Factorial::Builder(BasedInteger::Builder(2))));
assert_parsed_expression_is("1/2!", Division::Builder(BasedInteger::Builder(1),Factorial::Builder(BasedInteger::Builder(2))));
assert_parsed_expression_is("1!/2", Division::Builder(Factorial::Builder(BasedInteger::Builder(1)),BasedInteger::Builder(2)));
assert_parsed_expression_is("1!/2!", Division::Builder(Factorial::Builder(BasedInteger::Builder(1)),Factorial::Builder(BasedInteger::Builder(2))));
assert_parsed_expression_is("1^2!", Power::Builder(BasedInteger::Builder(1),Factorial::Builder(BasedInteger::Builder(2))));
assert_parsed_expression_is("1!^2", Power::Builder(Factorial::Builder(BasedInteger::Builder(1)),BasedInteger::Builder(2)));
assert_parsed_expression_is("1!^2!", Power::Builder(Factorial::Builder(BasedInteger::Builder(1)),Factorial::Builder(BasedInteger::Builder(2))));
assert_parsed_expression_is("(1)!", Factorial::Builder(Parenthesis::Builder(BasedInteger::Builder(1))));
assert_text_not_parsable("1+");
assert_text_not_parsable(")");
assert_text_not_parsable(")(");
assert_text_not_parsable("()");
assert_text_not_parsable("(1");
assert_text_not_parsable("1)");
assert_text_not_parsable("1++2");
assert_text_not_parsable("1//2");
assert_text_not_parsable("×1");
assert_text_not_parsable("1^^2");
assert_text_not_parsable("^1");
assert_text_not_parsable("t0000000");
assert_text_not_parsable("[[t0000000[");
assert_text_not_parsable("0→x=0");
assert_text_not_parsable("0→3=0");
assert_text_not_parsable("0=0→x");
assert_text_not_parsable("1ᴇ2ᴇ3");
assert_text_not_parsable("0b001112");
assert_text_not_parsable("0x123G");
}
Matrix BuildMatrix(int rows, int columns, Expression entries[]) {
Matrix m = Matrix::Builder();
int position = 0;
for (int i = 0; i < rows; i++) {
for (int j = 0; j < columns; j++) {
m.addChildAtIndexInPlace(entries[position], position, position);
position++;
}
}
m.setDimensions(rows, columns);
return m;
}
QUIZ_CASE(poincare_parsing_matrices) {
Expression m1[] = {BasedInteger::Builder(1)};
assert_parsed_expression_is("[[1]]", BuildMatrix(1,1,m1));
Expression m2[] = {BasedInteger::Builder(1),BasedInteger::Builder(2),BasedInteger::Builder(3)};
assert_parsed_expression_is("[[1,2,3]]", BuildMatrix(1,3,m2));
Expression m3[] = {BasedInteger::Builder(1),BasedInteger::Builder(2),BasedInteger::Builder(3),BasedInteger::Builder(4),BasedInteger::Builder(5),BasedInteger::Builder(6)};
assert_parsed_expression_is("[[1,2,3][4,5,6]]", BuildMatrix(2,3,m3));
Expression m4[] = {BasedInteger::Builder(1), BuildMatrix(1,1,m1)};
assert_parsed_expression_is("[[1,[[1]]]]", BuildMatrix(1,2,m4));
assert_text_not_parsable("[");
assert_text_not_parsable("]");
assert_text_not_parsable("[[");
assert_text_not_parsable("][");
assert_text_not_parsable("[]");
assert_text_not_parsable("[1]");
assert_text_not_parsable("[[1,2],[3]]");
assert_text_not_parsable("[[]");
assert_text_not_parsable("[[1]");
assert_text_not_parsable("[1]]");
assert_text_not_parsable("[[,]]");
assert_text_not_parsable("[[1,]]");
assert_text_not_parsable(",");
assert_text_not_parsable("[,]");
}
QUIZ_CASE(poincare_parsing_units) {
// Units
for (int i = 0; i < Unit::Representative::k_numberOfDimensions; i++) {
const Unit::Representative * dim = Unit::Representative::DefaultRepresentatives()[i];
for (int j = 0; j < dim->numberOfRepresentatives(); j++) {
const Unit::Representative * rep = dim->representativesOfSameDimension() + j;
static constexpr size_t bufferSize = 10;
char buffer[bufferSize];
Unit::Builder(rep, Unit::Prefix::EmptyPrefix()).serialize(buffer, bufferSize, Preferences::PrintFloatMode::Decimal, Preferences::VeryShortNumberOfSignificantDigits);
Expression unit = parse_expression(buffer, nullptr, false);
quiz_assert_print_if_failure(unit.type() == ExpressionNode::Type::Unit, "Should be parsed as a Unit");
if (rep->isInputPrefixable()) {
for (size_t i = 0; i < Unit::Prefix::k_numberOfPrefixes; i++) {
const Unit::Prefix * pre = Unit::Prefix::Prefixes();
Unit::Builder(rep, pre).serialize(buffer, bufferSize, Preferences::PrintFloatMode::Decimal, Preferences::VeryShortNumberOfSignificantDigits);
Expression unit = parse_expression(buffer, nullptr, false);
quiz_assert_print_if_failure(unit.type() == ExpressionNode::Type::Unit, "Should be parsed as a Unit");
}
}
}
}
// Non-existing units are not parsable
assert_text_not_parsable("_n");
assert_text_not_parsable("_a");
// Any identifier starting with '_' is tokenized as a unit
assert_tokenizes_as_unit("_m");
assert_tokenizes_as_unit("_A");
// Can parse implicit multiplication with units
Expression kilometer = Expression::Parse("_km", nullptr);
Expression second = Expression::Parse("_s", nullptr);
assert_parsed_expression_is("_kmπ", Multiplication::Builder(kilometer, Constant::Builder(UCodePointGreekSmallLetterPi)));
assert_parsed_expression_is("π_km", Multiplication::Builder(Constant::Builder(UCodePointGreekSmallLetterPi), kilometer));
assert_parsed_expression_is("_s_km", Multiplication::Builder(second, kilometer));
assert_parsed_expression_is("3_s", Multiplication::Builder(BasedInteger::Builder(3), second));
}
QUIZ_CASE(poincare_parsing_identifiers) {
// User-defined symbols
assert_parsed_expression_is("a", Symbol::Builder("a", 1));
assert_parsed_expression_is("x", Symbol::Builder("x", 1));
assert_parsed_expression_is("toot", Symbol::Builder("toot", 4));
assert_parsed_expression_is("toto_", Symbol::Builder("toto_", 5));
assert_parsed_expression_is("t_toto", Symbol::Builder("t_toto", 6));
assert_parsed_expression_is("tot12", Symbol::Builder("tot12", 5));
assert_parsed_expression_is("TOto", Symbol::Builder("TOto", 4));
assert_parsed_expression_is("TO12_Or", Symbol::Builder("TO12_Or", 7));
assert_parsed_expression_is("f(f)", Multiplication::Builder(Symbol::Builder("f", 1), Parenthesis::Builder(Symbol::Builder("f", 1))));
assert_parsed_expression_is("f((1))", Multiplication::Builder(Symbol::Builder("f", 1), Parenthesis::Builder( Parenthesis::Builder(BasedInteger::Builder(1)))));
assert_text_not_parsable("_a");
assert_text_not_parsable("abcdefgh");
assert_text_not_parsable("f(1,2)");
// User-defined functions
assert_parsed_expression_is("1→f(x)", Store::Builder(BasedInteger::Builder(1), Function::Builder("f", 1, Symbol::Builder("x",1))));
assert_parsed_expression_is("1→ab12AB_(x)", Store::Builder(BasedInteger::Builder(1), Function::Builder("ab12AB_", 7, Symbol::Builder("x",1))));
// Reserved symbols
assert_parsed_expression_is("ans", Symbol::Builder("ans", 3));
assert_parsed_expression_is("𝐢", Constant::Builder(UCodePointMathematicalBoldSmallI));
assert_parsed_expression_is("π", Constant::Builder(UCodePointGreekSmallLetterPi));
assert_parsed_expression_is("ℯ", Constant::Builder(UCodePointScriptSmallE));
assert_parsed_expression_is(Infinity::Name(), Infinity::Builder(false));
assert_parsed_expression_is(Undefined::Name(), Undefined::Builder());
assert_text_not_parsable("u");
assert_text_not_parsable("v");
// Reserved functions
assert_parsed_expression_is("acos(1)", ArcCosine::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("acosh(1)", HyperbolicArcCosine::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("abs(1)", AbsoluteValue::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("arg(1)", ComplexArgument::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("asin(1)", ArcSine::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("asinh(1)", HyperbolicArcSine::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("atan(1)", ArcTangent::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("atanh(1)", HyperbolicArcTangent::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("binomial(2,1)", BinomialCoefficient::Builder(BasedInteger::Builder(2),BasedInteger::Builder(1)));
assert_parsed_expression_is("ceil(1)", Ceiling::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("confidence(1,2)", ConfidenceInterval::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("cross(1,1)", VectorCross::Builder(BasedInteger::Builder(1),BasedInteger::Builder(1)));
assert_text_not_parsable("diff(1,2,3)");
assert_text_not_parsable("diff(0,_s,0)");
assert_parsed_expression_is("diff(1,x,3)", Derivative::Builder(BasedInteger::Builder(1),Symbol::Builder("x",1),BasedInteger::Builder(3)));
assert_parsed_expression_is("dim(1)", MatrixDimension::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("conj(1)", Conjugate::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("det(1)", Determinant::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("dot(1,1)", VectorDot::Builder(BasedInteger::Builder(1),BasedInteger::Builder(1)));
assert_parsed_expression_is("cos(1)", Cosine::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("cosh(1)", HyperbolicCosine::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("factor(1)", Factor::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("floor(1)", Floor::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("frac(1)", FracPart::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("gcd(1,2,3)", GreatCommonDivisor::Builder({BasedInteger::Builder(1),BasedInteger::Builder(2),BasedInteger::Builder(3)}));
assert_text_not_parsable("gcd(1)");
assert_text_not_parsable("gcd()");
assert_parsed_expression_is("im(1)", ImaginaryPart::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("int(1,x,2,3)", Integral::Builder(BasedInteger::Builder(1),Symbol::Builder("x",1),BasedInteger::Builder(2),BasedInteger::Builder(3)));
assert_text_not_parsable("int(1,2,3,4)");
assert_text_not_parsable("int(1,_s,3,4)");
assert_parsed_expression_is("inverse(1)", MatrixInverse::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("lcm(1,2,3)", LeastCommonMultiple::Builder({BasedInteger::Builder(1),BasedInteger::Builder(2),BasedInteger::Builder(3)}));
assert_text_not_parsable("lcm(1)");
assert_text_not_parsable("lcm()");
assert_parsed_expression_is("ln(1)", NaperianLogarithm::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("log(1)", CommonLogarithm::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("log(1,2)", Logarithm::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("log{2}(1)", Logarithm::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("permute(2,1)", PermuteCoefficient::Builder(BasedInteger::Builder(2),BasedInteger::Builder(1)));
assert_parsed_expression_is("prediction95(1,2)", PredictionInterval::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("norm(1)", VectorNorm::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("prediction(1,2)", SimplePredictionInterval::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("product(1,n,2,3)", Product::Builder(BasedInteger::Builder(1),Symbol::Builder("n",1),BasedInteger::Builder(2),BasedInteger::Builder(3)));
assert_text_not_parsable("product(1,2,3,4)");
assert_text_not_parsable("product(1,_s,3,4)");
assert_parsed_expression_is("quo(1,2)", DivisionQuotient::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("random()", Random::Builder());
assert_parsed_expression_is("randint(1,2)", Randint::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("re(1)", RealPart::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("ref(1)", MatrixRowEchelonForm::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("rem(1,2)", DivisionRemainder::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("root(1,2)", NthRoot::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("round(1,2)", Round::Builder(BasedInteger::Builder(1),BasedInteger::Builder(2)));
assert_parsed_expression_is("rref(1)", MatrixReducedRowEchelonForm::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("sin(1)", Sine::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("sign(1)", SignFunction::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("sinh(1)", HyperbolicSine::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("sum(1,n,2,3)", Sum::Builder(BasedInteger::Builder(1),Symbol::Builder("n",1),BasedInteger::Builder(2),BasedInteger::Builder(3)));
assert_text_not_parsable("sum(1,2,3,4)");
assert_text_not_parsable("sum(1,_s,3,4)");
assert_parsed_expression_is("tan(1)", Tangent::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("tanh(1)", HyperbolicTangent::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("trace(1)", MatrixTrace::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("transpose(1)", MatrixTranspose::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("√(1)", SquareRoot::Builder(BasedInteger::Builder(1)));
assert_text_not_parsable("cos(1,2)");
assert_text_not_parsable("log(1,2,3)");
assert_parsed_expression_is("and(1,1)", And::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("or(1,1)", Or::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("not(1)", Not::Builder(BasedInteger::Builder(1)));
assert_parsed_expression_is("not(1,1)", NotExplicit::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("xor(1,1)", Xor::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("bclr(1,1)", BitClear::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("bflp(1,1)", BitFlip::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("bit(1,1)", BitGet::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("bset(1,1)", BitSet::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("bic(1,1)", BitsClear::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("bic(1,1,1)", BitsClearExplicit::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("rol(1,1)", RotateLeft::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("rol(1,1,1)", RotateLeftExplicit::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("ror(1,1)", RotateRight::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("ror(1,1,1)", RotateRightExplicit::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("sra(1,1)", ShiftArithmeticRight::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("sra(1,1,1)", ShiftArithmeticRightExplicit::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("sll(1,1)", ShiftLogicLeft::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("srl(1,1)", ShiftLogicRight::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
assert_parsed_expression_is("tc(1,1)", TwosComplement::Builder(BasedInteger::Builder(1), BasedInteger::Builder(1)));
}
QUIZ_CASE(poincare_parsing_parse_store) {
assert_parsed_expression_is("1→a", Store::Builder(BasedInteger::Builder(1),Symbol::Builder("a",1)));
assert_parsed_expression_is("1→e", Store::Builder(BasedInteger::Builder(1),Symbol::Builder("e",1)));
assert_parsed_expression_is("1→f(x)", Store::Builder(BasedInteger::Builder(1),Function::Builder("f",1,Symbol::Builder("x",1))));
assert_parsed_expression_is("x→f(x)", Store::Builder(Symbol::Builder("x",1),Function::Builder("f",1,Symbol::Builder("x",1))));
assert_parsed_expression_is("n→f(x)", Store::Builder(Symbol::Builder("n",1),Function::Builder("f",1,Symbol::Builder("x",1))));
Expression m0[] = {Symbol::Builder('x')};
assert_parsed_expression_is("[[x]]→f(x)", Store::Builder(BuildMatrix(1,1,m0), Function::Builder("f", 1, Symbol::Builder('x'))));
assert_text_not_parsable("a→b→c");
assert_text_not_parsable("0→0→c");
assert_text_not_parsable("1→");
assert_text_not_parsable("→2");
assert_text_not_parsable("(1→a)");
assert_text_not_parsable("1→\1"); // UnknownX
assert_text_not_parsable("1→\2"); // UnknownN
assert_text_not_parsable("1→acos");
assert_text_not_parsable("1→f(f)");
}
QUIZ_CASE(poincare_parsing_parse_unit_convert) {
Expression meter = Expression::Parse("_m", nullptr);
assert_parsed_expression_is("1→_m", UnitConvert::Builder(BasedInteger::Builder(1), meter));
Expression kilometer = Expression::Parse("_km", nullptr);
assert_parsed_expression_is("1→_m/_km", UnitConvert::Builder(BasedInteger::Builder(1), Division::Builder(meter, kilometer)));
}
QUIZ_CASE(poincare_parsing_implicit_multiplication) {
assert_text_not_parsable(".1.2");
assert_text_not_parsable("1 2");
assert_parsed_expression_is("1x", Multiplication::Builder(BasedInteger::Builder(1),Symbol::Builder("x", 1)));
assert_parsed_expression_is("1ans", Multiplication::Builder(BasedInteger::Builder(1),Symbol::Builder("ans", 3)));
assert_parsed_expression_is("x1", Symbol::Builder("x1", 2));
assert_parsed_expression_is("1x+2", Addition::Builder(Multiplication::Builder(BasedInteger::Builder(1),Symbol::Builder("x", 1)),BasedInteger::Builder(2)));
assert_parsed_expression_is("1π", Multiplication::Builder(BasedInteger::Builder(1),Constant::Builder(UCodePointGreekSmallLetterPi)));
assert_parsed_expression_is("1x-2", Subtraction::Builder(Multiplication::Builder(BasedInteger::Builder(1),Symbol::Builder("x", 1)),BasedInteger::Builder(2)));
assert_parsed_expression_is("-1x", Opposite::Builder(Multiplication::Builder(BasedInteger::Builder(1),Symbol::Builder("x", 1))));
assert_parsed_expression_is("2×1x", Multiplication::Builder(BasedInteger::Builder(2),Multiplication::Builder(BasedInteger::Builder(1),Symbol::Builder("x", 1))));
assert_parsed_expression_is("2^1x", Multiplication::Builder(Power::Builder(BasedInteger::Builder(2),BasedInteger::Builder(1)),Symbol::Builder("x", 1)));
assert_parsed_expression_is("1x^2", Multiplication::Builder(BasedInteger::Builder(1),Power::Builder(Symbol::Builder("x", 1),BasedInteger::Builder(2))));
assert_parsed_expression_is("2/1x", Division::Builder(BasedInteger::Builder(2),Multiplication::Builder(BasedInteger::Builder(1),Symbol::Builder("x", 1))));
assert_parsed_expression_is("1x/2", Division::Builder(Multiplication::Builder(BasedInteger::Builder(1),Symbol::Builder("x", 1)),BasedInteger::Builder(2)));
assert_parsed_expression_is("(1)2", Multiplication::Builder(Parenthesis::Builder(BasedInteger::Builder(1)),BasedInteger::Builder(2)));
assert_parsed_expression_is("1(2)", Multiplication::Builder(BasedInteger::Builder(1),Parenthesis::Builder(BasedInteger::Builder(2))));
assert_parsed_expression_is("sin(1)2", Multiplication::Builder(Sine::Builder(BasedInteger::Builder(1)),BasedInteger::Builder(2)));
assert_parsed_expression_is("1cos(2)", Multiplication::Builder(BasedInteger::Builder(1),Cosine::Builder(BasedInteger::Builder(2))));
assert_parsed_expression_is("1!2", Multiplication::Builder(Factorial::Builder(BasedInteger::Builder(1)),BasedInteger::Builder(2)));
assert_parsed_expression_is("2ℯ^(3)", Multiplication::Builder(BasedInteger::Builder(2),Power::Builder(Constant::Builder(UCodePointScriptSmallE),Parenthesis::Builder(BasedInteger::Builder(3)))));
assert_parsed_expression_is("\u00122^3\u00133", Multiplication::Builder(Power::Builder(BasedInteger::Builder(2),BasedInteger::Builder(3)), BasedInteger::Builder(3)));
Expression m1[] = {BasedInteger::Builder(1)}; Matrix M1 = BuildMatrix(1,1,m1);
Expression m2[] = {BasedInteger::Builder(2)}; Matrix M2 = BuildMatrix(1,1,m2);
assert_parsed_expression_is("[[1]][[2]]", Multiplication::Builder(M1,M2));
}
QUIZ_CASE(poincare_parsing_adding_missing_parentheses) {
assert_parsed_expression_with_user_parentheses_is("1+-2", Addition::Builder(BasedInteger::Builder(1),Parenthesis::Builder(Opposite::Builder(BasedInteger::Builder(2)))));
assert_parsed_expression_with_user_parentheses_is("1--2", Subtraction::Builder(BasedInteger::Builder(1),Parenthesis::Builder(Opposite::Builder(BasedInteger::Builder(2)))));
assert_parsed_expression_with_user_parentheses_is("1+conj(-2)", Addition::Builder(BasedInteger::Builder(1),Parenthesis::Builder(Conjugate::Builder(Opposite::Builder(BasedInteger::Builder(2))))));
assert_parsed_expression_with_user_parentheses_is("1-conj(-2)", Subtraction::Builder(BasedInteger::Builder(1),Parenthesis::Builder(Conjugate::Builder(Opposite::Builder(BasedInteger::Builder(2))))));
assert_parsed_expression_with_user_parentheses_is("3conj(1+𝐢)", Multiplication::Builder(BasedInteger::Builder(3), Parenthesis::Builder(Conjugate::Builder(Addition::Builder(BasedInteger::Builder(1), Constant::Builder(UCodePointMathematicalBoldSmallI))))));
assert_parsed_expression_with_user_parentheses_is("2×-3", Multiplication::Builder(BasedInteger::Builder(2), Parenthesis::Builder(Opposite::Builder(BasedInteger::Builder(3)))));
assert_parsed_expression_with_user_parentheses_is("2×-3", Multiplication::Builder(BasedInteger::Builder(2), Parenthesis::Builder(Opposite::Builder(BasedInteger::Builder(3)))));
assert_parsed_expression_with_user_parentheses_is("--2", Opposite::Builder(Parenthesis::Builder(Opposite::Builder(BasedInteger::Builder(2)))));
assert_parsed_expression_with_user_parentheses_is("\u00122/3\u0013^2", Power::Builder(Parenthesis::Builder(Division::Builder(BasedInteger::Builder(2), BasedInteger::Builder(3))), BasedInteger::Builder(2)));
assert_parsed_expression_with_user_parentheses_is("log(1+-2)", CommonLogarithm::Builder(Addition::Builder(BasedInteger::Builder(1),Parenthesis::Builder(Opposite::Builder(BasedInteger::Builder(2))))));
// Conjugate expressions
assert_parsed_expression_with_user_parentheses_is("conj(-3)+2", Addition::Builder(Conjugate::Builder(Opposite::Builder(BasedInteger::Builder(3))), BasedInteger::Builder(2)));
assert_parsed_expression_with_user_parentheses_is("2+conj(-3)", Addition::Builder(BasedInteger::Builder(2), Parenthesis::Builder(Conjugate::Builder(Opposite::Builder(BasedInteger::Builder(3))))));
assert_parsed_expression_with_user_parentheses_is("conj(-3)×2", Multiplication::Builder(Conjugate::Builder(Opposite::Builder(BasedInteger::Builder(3))), BasedInteger::Builder(2)));
assert_parsed_expression_with_user_parentheses_is("2×conj(-3)", Multiplication::Builder(BasedInteger::Builder(2), Parenthesis::Builder(Conjugate::Builder(Opposite::Builder(BasedInteger::Builder(3))))));
assert_parsed_expression_with_user_parentheses_is("conj(-3)-2", Subtraction::Builder(Conjugate::Builder(Opposite::Builder(BasedInteger::Builder(3))), BasedInteger::Builder(2)));
assert_parsed_expression_with_user_parentheses_is("2-conj(-3)", Subtraction::Builder(BasedInteger::Builder(2), Parenthesis::Builder(Conjugate::Builder(Opposite::Builder(BasedInteger::Builder(3))))));
assert_parsed_expression_with_user_parentheses_is("conj(2+3)^2", Power::Builder(Parenthesis::Builder(Conjugate::Builder(Addition::Builder(BasedInteger::Builder(2), BasedInteger::Builder(3)))), BasedInteger::Builder(2)));
assert_parsed_expression_with_user_parentheses_is("-conj(2+3)", Opposite::Builder(Parenthesis::Builder(Conjugate::Builder(Addition::Builder(BasedInteger::Builder(2), BasedInteger::Builder(3))))));
assert_parsed_expression_with_user_parentheses_is("conj(2+3)!", Factorial::Builder(Parenthesis::Builder(Conjugate::Builder(Addition::Builder(BasedInteger::Builder(2), BasedInteger::Builder(3))))));
}
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