#include #include #include #include #include #include "helper.h" using namespace Poincare; QUIZ_CASE(poincare_user_variable_simple) { // Fill variable assert_parsed_expression_simplify_to("1+2→Adadas", "3"); assert_parsed_expression_simplify_to("Adadas", "3"); // Fill f1 assert_parsed_expression_simplify_to("1+x→f1(x)", "x+1"); assert_parsed_expression_simplify_to("f1(4)", "5"); assert_parsed_expression_simplify_to("f1(Adadas)", "4"); // Fill f2 assert_parsed_expression_simplify_to("x-1→f2(x)", "x-1"); assert_parsed_expression_simplify_to("f2(4)", "3"); assert_parsed_expression_simplify_to("f2(Adadas)", "2"); // Define fBoth with f1 and f2 assert_parsed_expression_simplify_to("f1(x)+f2(x)→fBoth(x)", "2×x"); assert_parsed_expression_simplify_to("fBoth(4)", "8"); assert_parsed_expression_simplify_to("fBoth(Adadas)", "6"); // Change f2 assert_parsed_expression_simplify_to("x→f2(x)", "x"); assert_parsed_expression_simplify_to("f2(4)", "4"); assert_parsed_expression_simplify_to("f2(Adadas)", "3"); // Make sure fBoth has changed assert_parsed_expression_simplify_to("fBoth(4)", "9"); assert_parsed_expression_simplify_to("fBoth(Adadas)", "7"); // Clean the storage for other tests Ion::Storage::sharedStorage()->recordNamed("Adadas.exp").destroy(); Ion::Storage::sharedStorage()->recordNamed("f1.func").destroy(); Ion::Storage::sharedStorage()->recordNamed("f2.func").destroy(); Ion::Storage::sharedStorage()->recordNamed("fBoth.func").destroy(); } QUIZ_CASE(poincare_user_variable_2_circular_variables) { assert_simplify("a→b"); assert_simplify("b→a"); assert_parsed_expression_evaluates_to("a", Undefined::Name()); assert_parsed_expression_evaluates_to("b", Undefined::Name()); // Clean the storage for other tests Ion::Storage::sharedStorage()->recordNamed("a.exp").destroy(); Ion::Storage::sharedStorage()->recordNamed("b.exp").destroy(); } QUIZ_CASE(poincare_user_variable_3_circular_variables) { assert_simplify("a→b"); assert_simplify("b→c"); assert_simplify("c→a"); assert_parsed_expression_evaluates_to("a", Undefined::Name()); assert_parsed_expression_evaluates_to("b", Undefined::Name()); assert_parsed_expression_evaluates_to("c", Undefined::Name()); // Clean the storage for other tests Ion::Storage::sharedStorage()->recordNamed("a.exp").destroy(); Ion::Storage::sharedStorage()->recordNamed("b.exp").destroy(); Ion::Storage::sharedStorage()->recordNamed("c.exp").destroy(); } QUIZ_CASE(poincare_user_variable_1_circular_function) { // g: x → f(x)+1 assert_simplify("f(x)+1→g(x)"); assert_parsed_expression_evaluates_to("g(1)", Undefined::Name()); // f: x → x+1 assert_simplify("x+1→f(x)"); assert_parsed_expression_evaluates_to("g(1)", "3"); assert_parsed_expression_evaluates_to("f(1)", "2"); // h: x → h(x) assert_simplify("h(x)→h(x)"); assert_parsed_expression_evaluates_to("f(1)", "2"); assert_parsed_expression_evaluates_to("g(1)", "3"); assert_parsed_expression_evaluates_to("h(1)", Undefined::Name()); // Clean the storage for other tests Ion::Storage::sharedStorage()->recordNamed("f.func").destroy(); Ion::Storage::sharedStorage()->recordNamed("g.func").destroy(); Ion::Storage::sharedStorage()->recordNamed("h.func").destroy(); } QUIZ_CASE(poincare_user_variable_2_circular_functions) { assert_simplify("f(x)→g(x)"); assert_simplify("g(x)→f(x)"); assert_parsed_expression_evaluates_to("f(1)", Undefined::Name()); assert_parsed_expression_evaluates_to("g(1)", Undefined::Name()); // Clean the storage for other tests Ion::Storage::sharedStorage()->recordNamed("f.func").destroy(); Ion::Storage::sharedStorage()->recordNamed("g.func").destroy(); } QUIZ_CASE(poincare_user_variable_3_circular_functions) { assert_simplify("f(x)→g(x)"); assert_simplify("g(x)→h(x)"); assert_simplify("h(x)→f(x)"); assert_parsed_expression_evaluates_to("f(1)", Undefined::Name()); assert_parsed_expression_evaluates_to("g(1)", Undefined::Name()); assert_parsed_expression_evaluates_to("h(1)", Undefined::Name()); // Clean the storage for other tests Ion::Storage::sharedStorage()->recordNamed("f.func").destroy(); Ion::Storage::sharedStorage()->recordNamed("g.func").destroy(); Ion::Storage::sharedStorage()->recordNamed("h.func").destroy(); } QUIZ_CASE(poincare_user_variable_circular_variables_and_functions) { assert_simplify("a→b"); assert_simplify("b→a"); assert_simplify("a→f(x)"); assert_parsed_expression_evaluates_to("f(1)", Undefined::Name()); assert_parsed_expression_evaluates_to("a", Undefined::Name()); assert_parsed_expression_evaluates_to("b", Undefined::Name()); // Clean the storage for other tests Ion::Storage::sharedStorage()->recordNamed("f.func").destroy(); Ion::Storage::sharedStorage()->recordNamed("a.exp").destroy(); Ion::Storage::sharedStorage()->recordNamed("b.exp").destroy(); } QUIZ_CASE(poincare_user_variable_composed_functions) { // f: x→x^2 assert_simplify("x^2→f(x)"); // g: x→f(x-2) assert_simplify("f(x-2)→g(x)"); assert_parsed_expression_evaluates_to("f(2)", "4"); assert_parsed_expression_evaluates_to("g(3)", "1"); assert_parsed_expression_evaluates_to("g(5)", "9"); // g: x→f(x-2)+f(x+1) assert_simplify("f(x-2)+f(x+1)→g(x)"); // Add a matrix to bypass simplification assert_parsed_expression_evaluates_to("g(3)+[[1]]", "[[18]]"); assert_parsed_expression_evaluates_to("g(5)", "45"); // g: x→x+1 assert_simplify("x+1→g(x)"); assert_parsed_expression_evaluates_to("f(g(4))", "25"); // Add a matrix to bypass simplification assert_parsed_expression_evaluates_to("f(g(4))+[[1]]", "[[26]]"); // Clean the storage for other tests Ion::Storage::sharedStorage()->recordNamed("f.func").destroy(); Ion::Storage::sharedStorage()->recordNamed("g.func").destroy(); } QUIZ_CASE(poincare_user_variable_functions_with_context) { // f : x→ x^2 assert_simplify("x^2→f(x)"); // Approximate f(?-2) with ? = 5 constexpr int bufferSize = CodePoint::MaxCodePointCharLength + 1; char x[bufferSize]; Poincare::SerializationHelper::CodePoint(x, bufferSize, UCodePointUnknownX); assert_parsed_expression_approximates_with_value_for_symbol(Function::Builder("f", 1, Subtraction::Builder(Symbol::Builder(UCodePointUnknownX), Rational::Builder(2))), x, 5.0, 9.0); // Approximate f(?-1)+f(?+1) with ? = 3 assert_parsed_expression_approximates_with_value_for_symbol(Addition::Builder(Function::Builder("f", 1, Subtraction::Builder(Symbol::Builder(UCodePointUnknownX), Rational::Builder(1))), Function::Builder("f", 1, Addition::Builder(Symbol::Builder(UCodePointUnknownX), Rational::Builder(1)))), x, 3.0, 20.0); // Clean the storage for other tests Ion::Storage::sharedStorage()->recordNamed("f.func").destroy(); // f : x → √(-1) assert_simplify("√(-1)×√(-1)→f(x)"); // Approximate f(?) with ? = 5 // Cartesian assert_parsed_expression_approximates_with_value_for_symbol(Function::Builder("f", 1, Symbol::Builder(UCodePointUnknownX)), x, 1.0, -1.0); // Real assert_parsed_expression_approximates_with_value_for_symbol(Function::Builder("f", 1, Symbol::Builder(UCodePointUnknownX)), x, 1.0, (double)NAN, Real); // Clean the storage for other tests Ion::Storage::sharedStorage()->recordNamed("f.func").destroy(); } QUIZ_CASE(poincare_user_variable_properties) { Shared::GlobalContext context; assert_parsed_expression_evaluates_to("[[1]]→a", "[[1]]"); quiz_assert(Symbol::Builder('a').isApproximate(context)); quiz_assert(Poincare::Expression::IsMatrix(Symbol::Builder('a'), context, true)); /* [[x]]→f(x) expression contains a matrix, so its simplification is going * to be interrupted. We thus rather approximate it instead of simplifying it. * TODO: use parse_and_simplify when matrix are simplified. */ assert_parsed_expression_evaluates_to("[[x]]→f(x)", "[[undef]]"); quiz_assert(Function::Builder("f", 1, Rational::Builder(2)).isApproximate(context)); quiz_assert(Poincare::Expression::IsMatrix(Function::Builder("f", 1, Symbol::Builder('x')), context, true)); // Clean the storage for other tests Ion::Storage::sharedStorage()->recordNamed("a.exp").destroy(); Ion::Storage::sharedStorage()->recordNamed("f.func").destroy(); }