#include #include #include #include #include "helper.h" using namespace Poincare; constexpr Poincare::Expression::Sign Positive = Poincare::Expression::Sign::Positive; constexpr Poincare::Expression::Sign Negative = Poincare::Expression::Sign::Negative; constexpr Poincare::Expression::Sign Unknown = Poincare::Expression::Sign::Unknown; void assert_parsed_expression_sign(const char * expression, Poincare::Expression::Sign sign) { GlobalContext globalContext; Expression * e = parse_expression(expression); Expression::Simplify(&e, globalContext); assert(e->sign() == sign); delete e; } QUIZ_CASE(poincare_sign) { assert_parsed_expression_sign("abs(-cos(2))", Positive); assert_parsed_expression_sign("2.345E-23", Positive); assert_parsed_expression_sign("-2.345E-23", Negative); assert_parsed_expression_sign("2*(-3)*abs(-32)", Negative); assert_parsed_expression_sign("2*(-3)*abs(-32)*cos(3)", Unknown); assert_parsed_expression_sign("2^(-abs(3))", Positive); assert_parsed_expression_sign("(-2)^4", Positive); assert_parsed_expression_sign("(-2)^3", Negative); assert_parsed_expression_sign("random()", Positive); assert_parsed_expression_sign("42/3", Positive); assert_parsed_expression_sign("-23/32", Negative); assert_parsed_expression_sign("P", Positive); assert_parsed_expression_sign("X", Positive); } QUIZ_CASE(poincare_polynomial_degree) { assert_parsed_expression_polynomial_degree("x+1", 1); assert_parsed_expression_polynomial_degree("cos(2)+1", 0); assert_parsed_expression_polynomial_degree("confidence(0.2,10)+1", -1); assert_parsed_expression_polynomial_degree("diff(3*x+x,2)", 0); assert_parsed_expression_polynomial_degree("diff(3*x+x,x)", -1); assert_parsed_expression_polynomial_degree("(3*x+2)/3", 1); assert_parsed_expression_polynomial_degree("(3*x+2)/x", -1); assert_parsed_expression_polynomial_degree("int(2*x, 0, 1)", 0); assert_parsed_expression_polynomial_degree("[[1,2][3,4]]", -1); assert_parsed_expression_polynomial_degree("(x^2+2)*(x+1)", 3); assert_parsed_expression_polynomial_degree("-(x+1)", 1); assert_parsed_expression_polynomial_degree("(x^2+2)^(3/2)", 3); assert_parsed_expression_polynomial_degree("prediction(0.2,10)+1", -1); assert_parsed_expression_polynomial_degree("2-x-x^3", 3); assert_parsed_expression_polynomial_degree("P*x", 1); } void assert_parsed_expression_has_characteristic_range(const char * expression, float range, Expression::AngleUnit angleUnit = Expression::AngleUnit::Degree) { GlobalContext globalContext; Expression * e = parse_expression(expression); Expression::Simplify(&e, globalContext, angleUnit); if (std::isnan(range)) { assert(std::isnan(e->characteristicXRange(globalContext, angleUnit))); } else { assert(std::fabs(e->characteristicXRange(globalContext, angleUnit) - range) < 0.0000001f); } delete e; } QUIZ_CASE(poincare_characteristic_range) { assert_parsed_expression_has_characteristic_range("cos(x)", 360.0f); assert_parsed_expression_has_characteristic_range("sin(9*x+10)", 40.0f); assert_parsed_expression_has_characteristic_range("sin(9*x+10)+cos(x/2)", 720.0f); assert_parsed_expression_has_characteristic_range("sin(9*x+10)+cos(x/2)", 4.0f*M_PI, Expression::AngleUnit::Radian); assert_parsed_expression_has_characteristic_range("x", NAN); assert_parsed_expression_has_characteristic_range("cos(3)+2", 0.0f); assert_parsed_expression_has_characteristic_range("log(cos(40*x))", 9.0f); }