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ecf3f2ea0f
approximation encouters a complex value All approximation methods take the complex format into account.
194 lines
7.8 KiB
C++
194 lines
7.8 KiB
C++
#include <quiz.h>
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#include <ion.h>
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#include <assert.h>
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#include <apps/shared/global_context.h>
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#include "helper.h"
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using namespace Poincare;
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QUIZ_CASE(poincare_user_variable_simple) {
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// Fill variable
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assert_parsed_expression_simplify_to("1+2>Adadas", "1+2");
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assert_parsed_expression_simplify_to("Adadas", "3");
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// Fill f1
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assert_parsed_expression_simplify_to("1+x>f1(x)", "1+x");
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assert_parsed_expression_simplify_to("f1(4)", "5");
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assert_parsed_expression_simplify_to("f1(Adadas)", "4");
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// Fill f2
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assert_parsed_expression_simplify_to("x-1>f2(x)", "x-1");
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assert_parsed_expression_simplify_to("f2(4)", "3");
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assert_parsed_expression_simplify_to("f2(Adadas)", "2");
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// Define fBoth with f1 and f2
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assert_parsed_expression_simplify_to("f1(x)+f2(x)>fBoth(x)", "f1(x)+f2(x)");
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assert_parsed_expression_simplify_to("fBoth(4)", "8");
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assert_parsed_expression_simplify_to("fBoth(Adadas)", "6");
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// Change f2
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assert_parsed_expression_simplify_to("x>f2(x)", "x");
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assert_parsed_expression_simplify_to("f2(4)", "4");
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assert_parsed_expression_simplify_to("f2(Adadas)", "3");
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// Make sure fBoth has changed
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assert_parsed_expression_simplify_to("fBoth(4)", "9");
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assert_parsed_expression_simplify_to("fBoth(Adadas)", "7");
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// Clean the storage for other tests
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Ion::Storage::sharedStorage()->recordNamed("Adadas.exp").destroy();
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Ion::Storage::sharedStorage()->recordNamed("f1.func").destroy();
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Ion::Storage::sharedStorage()->recordNamed("f2.func").destroy();
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Ion::Storage::sharedStorage()->recordNamed("funcBoth.func").destroy();
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}
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QUIZ_CASE(poincare_user_variable_2_circular_variables) {
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assert_simplify("a>b");
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assert_simplify("b>a");
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assert_parsed_expression_evaluates_to<double>("a", Undefined::Name());
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assert_parsed_expression_evaluates_to<double>("b", Undefined::Name());
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// Clean the storage for other tests
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Ion::Storage::sharedStorage()->recordNamed("a.exp").destroy();
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Ion::Storage::sharedStorage()->recordNamed("b.exp").destroy();
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}
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QUIZ_CASE(poincare_user_variable_3_circular_variables) {
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assert_simplify("a>b");
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assert_simplify("b>c");
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assert_simplify("c>a");
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assert_parsed_expression_evaluates_to<double>("a", Undefined::Name());
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assert_parsed_expression_evaluates_to<double>("b", Undefined::Name());
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assert_parsed_expression_evaluates_to<double>("c", Undefined::Name());
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// Clean the storage for other tests
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Ion::Storage::sharedStorage()->recordNamed("a.exp").destroy();
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Ion::Storage::sharedStorage()->recordNamed("b.exp").destroy();
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Ion::Storage::sharedStorage()->recordNamed("c.exp").destroy();
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}
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QUIZ_CASE(poincare_user_variable_1_circular_function) {
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// g: x -> f(x)+1
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assert_simplify("f(x)+1>g(x)");
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assert_parsed_expression_evaluates_to<double>("g(1)", Undefined::Name());
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// f: x -> x+1
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assert_simplify("x+1>f(x)");
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assert_parsed_expression_evaluates_to<double>("g(1)", "3");
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assert_parsed_expression_evaluates_to<double>("f(1)", "2");
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// h: x -> h(x)
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assert_simplify("h(x)>h(x)");
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assert_parsed_expression_evaluates_to<double>("f(1)", "2");
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assert_parsed_expression_evaluates_to<double>("g(1)", "3");
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assert_parsed_expression_evaluates_to<double>("h(1)", Undefined::Name());
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// Clean the storage for other tests
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Ion::Storage::sharedStorage()->recordNamed("f.func").destroy();
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Ion::Storage::sharedStorage()->recordNamed("g.func").destroy();
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Ion::Storage::sharedStorage()->recordNamed("h.func").destroy();
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}
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QUIZ_CASE(poincare_user_variable_2_circular_functions) {
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assert_simplify("f(x)>g(x)");
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assert_simplify("g(x)>f(x)");
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assert_parsed_expression_evaluates_to<double>("f(1)", Undefined::Name());
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assert_parsed_expression_evaluates_to<double>("g(1)", Undefined::Name());
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// Clean the storage for other tests
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Ion::Storage::sharedStorage()->recordNamed("f.func").destroy();
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Ion::Storage::sharedStorage()->recordNamed("g.func").destroy();
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}
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QUIZ_CASE(poincare_user_variable_3_circular_functions) {
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assert_simplify("f(x)>g(x)");
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assert_simplify("g(x)>h(x)");
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assert_simplify("h(x)>f(x)");
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assert_parsed_expression_evaluates_to<double>("f(1)", Undefined::Name());
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assert_parsed_expression_evaluates_to<double>("g(1)", Undefined::Name());
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assert_parsed_expression_evaluates_to<double>("h(1)", Undefined::Name());
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// Clean the storage for other tests
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Ion::Storage::sharedStorage()->recordNamed("f.func").destroy();
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Ion::Storage::sharedStorage()->recordNamed("g.func").destroy();
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Ion::Storage::sharedStorage()->recordNamed("h.func").destroy();
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}
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QUIZ_CASE(poincare_user_variable_circular_variables_and_functions) {
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assert_simplify("a>b");
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assert_simplify("b>a");
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assert_simplify("a>f(x)");
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assert_parsed_expression_evaluates_to<double>("f(1)", Undefined::Name());
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assert_parsed_expression_evaluates_to<double>("a", Undefined::Name());
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assert_parsed_expression_evaluates_to<double>("b", Undefined::Name());
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// Clean the storage for other tests
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Ion::Storage::sharedStorage()->recordNamed("f.func").destroy();
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Ion::Storage::sharedStorage()->recordNamed("a.exp").destroy();
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Ion::Storage::sharedStorage()->recordNamed("b.exp").destroy();
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}
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QUIZ_CASE(poincare_user_variable_composed_functions) {
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// f: x->x^2
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assert_simplify("x^2>f(x)");
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// g: x->f(x-2)
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assert_simplify("f(x-2)>g(x)");
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assert_parsed_expression_evaluates_to<double>("f(2)", "4");
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assert_parsed_expression_evaluates_to<double>("g(3)", "1");
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assert_parsed_expression_evaluates_to<double>("g(5)", "9");
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// g: x->f(x-2)+f(x+1)
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assert_simplify("f(x-2)+f(x+1)>g(x)");
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// Add a matrix to bypass simplification
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assert_parsed_expression_evaluates_to<double>("g(3)+[[1]]", "[[18]]");
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assert_parsed_expression_evaluates_to<double>("g(5)", "45");
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// g: x->x+1
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assert_simplify("x+1>g(x)");
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assert_parsed_expression_evaluates_to<double>("f(g(4))", "25");
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// Add a matrix to bypass simplification
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assert_parsed_expression_evaluates_to<double>("f(g(4))+[[1]]", "[[26]]");
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// Clean the storage for other tests
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Ion::Storage::sharedStorage()->recordNamed("f.func").destroy();
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Ion::Storage::sharedStorage()->recordNamed("g.func").destroy();
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}
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QUIZ_CASE(poincare_user_variable_functions_with_context) {
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// f: x->x^2
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assert_simplify("x^2>f(x)");
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// Approximate f(?-2) with ? = 5
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const char x[] = {Symbol::SpecialSymbols::UnknownX, 0};
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assert_parsed_expression_approximates_with_value_for_symbol(Function("f", 1, Subtraction(Symbol(Symbol::SpecialSymbols::UnknownX), Rational(2))), x, 5.0, 9.0);
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// Approximate f(?-1)+f(?+1) with ? = 3
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assert_parsed_expression_approximates_with_value_for_symbol(Addition(Function("f", 1, Subtraction(Symbol(Symbol::SpecialSymbols::UnknownX), Rational(1))), Function("f", 1, Addition(Symbol(Symbol::SpecialSymbols::UnknownX), Rational(1)))), x, 3.0, 20.0);
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// Clean the storage for other tests
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Ion::Storage::sharedStorage()->recordNamed("f.func").destroy();
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// f: x->R(-1)
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assert_simplify("R(-1)*R(-1)>f(x)");
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// Approximate f(?) with ? = 5
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// Cartesian
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assert_parsed_expression_approximates_with_value_for_symbol(Function("f", 1, Symbol(Symbol::SpecialSymbols::UnknownX)), x, 1.0, -1.0);
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// Real
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assert_parsed_expression_approximates_with_value_for_symbol(Function("f", 1, Symbol(Symbol::SpecialSymbols::UnknownX)), x, 1.0, (double)NAN, Real);
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// Clean the storage for other tests
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Ion::Storage::sharedStorage()->recordNamed("f.func").destroy();
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}
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QUIZ_CASE(poincare_user_variable_properties) {
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Shared::GlobalContext context;
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assert_simplify("[[1]]>a");
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assert(Symbol('a').isApproximate(context));
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assert(Poincare::Expression::IsMatrix(Symbol('a'), context, true));
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assert_simplify("[[x]]>f(x)");
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assert(Function("f", 1, Rational(2)).isApproximate(context));
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assert(Poincare::Expression::IsMatrix(Function("f", 1, Symbol('x')), context, true));
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// Clean the storage for other tests
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Ion::Storage::sharedStorage()->recordNamed("a.exp").destroy();
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Ion::Storage::sharedStorage()->recordNamed("f.func").destroy();
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}
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