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91 lines
5.4 KiB
C++
91 lines
5.4 KiB
C++
#include <quiz.h>
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#include <ion.h>
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#include <assert.h>
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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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QUIZ_CASE(poincare_reduction_target) {
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assert_parsed_expression_simplify_to("1/π+1/x", "1/x+1/π", System);
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assert_parsed_expression_simplify_to("1/π+1/x", "(x+π)/(π×x)", User);
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assert_parsed_expression_simplify_to("1/(1+𝐢)", "1/(𝐢+1)", System);
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assert_parsed_expression_simplify_to("1/(1+𝐢)", "1/2-1/2×𝐢", User);
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assert_parsed_expression_simplify_to("sin(x)/(cos(x)×cos(x))", "sin(x)/cos(x)^2", System);
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assert_parsed_expression_simplify_to("sin(x)/(cos(x)×cos(x))", "tan(x)/cos(x)", User);
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assert_parsed_expression_simplify_to("x^0", "x^0", System);
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assert_parsed_expression_simplify_to("x^0", "1", User);
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assert_parsed_expression_simplify_to("x^(2/3)", "root(x,3)^2", System);
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assert_parsed_expression_simplify_to("x^(2/3)", "x^(2/3)", User);
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assert_parsed_expression_simplify_to("x^(1/3)", "root(x,3)", System);
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assert_parsed_expression_simplify_to("x^(1/3)", "root(x,3)", System);
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assert_parsed_expression_simplify_to("x^2", "x^2", System);
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assert_parsed_expression_simplify_to("x^2", "x^2", User);
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assert_parsed_expression_simplify_to("1/(√(2)+√(3))", "1/(√(3)+√(2))", System);
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assert_parsed_expression_simplify_to("1/(√(2)+√(3))", "√(3)-√(2)", User);
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assert_parsed_expression_simplify_to("sign(abs(x))", "sign(abs(x))", System);
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assert_parsed_expression_simplify_to("sign(abs(x))", "1", User);
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assert_parsed_expression_simplify_to("atan(1/x)", "atan(1/x)", System);
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assert_parsed_expression_simplify_to("atan(1/x)", "(π×sign(x)-2×atan(x))/2", User);
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assert_parsed_expression_simplify_to("(1+x)/(1+x)", "(x+1)^0", System);
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assert_parsed_expression_simplify_to("(1+x)/(1+x)", "1", User);
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}
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QUIZ_CASE(poincare_simplify_mix) {
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// Root at denominator
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assert_parsed_expression_simplify_to("1/(√(2)+√(3))", "√(3)-√(2)");
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assert_parsed_expression_simplify_to("1/(5+√(3))", "(-√(3)+5)/22");
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assert_parsed_expression_simplify_to("1/(√(2)+4)", "(-√(2)+4)/14");
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assert_parsed_expression_simplify_to("1/(2√(2)-4)", "(-√(2)-2)/4");
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assert_parsed_expression_simplify_to("1/(-2√(2)+4)", "(√(2)+2)/4");
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assert_parsed_expression_simplify_to("45^2", "2025");
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assert_parsed_expression_simplify_to("1/(√(2)ln(3))", "√(2)/(2×ln(3))");
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assert_parsed_expression_simplify_to("√(3/2)", "√(6)/2");
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// Common operation mix
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assert_parsed_expression_simplify_to("(√(2)×π + √(2)×ℯ)/√(2)", "ℯ+π");
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assert_parsed_expression_simplify_to("π+(3√(2)-2√(3))/25", "(25×π-2×√(3)+3×√(2))/25");
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assert_parsed_expression_simplify_to("ln(2+3)", "ln(5)");
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assert_parsed_expression_simplify_to("3×A×B×C+4×cos(2)-2×A×B×C+A×B×C+ln(3)+4×A×B-5×A×B×C+cos(3)×ln(5)+cos(2)-45×cos(2)", "cos(3)×ln(5)+ln(3)-40×cos(2)+4×A×B-3×A×B×C");
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assert_parsed_expression_simplify_to("2×A+3×cos(2)+3+4×ln(5)+5×A+2×ln(5)+1+0", "6×ln(5)+3×cos(2)+7×A+4");
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assert_parsed_expression_simplify_to("2.3×A+3×cos(2)+3+4×ln(5)+5×A+2×ln(5)+1.2+0.235", "(1200×ln(5)+600×cos(2)+1460×A+887)/200");
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assert_parsed_expression_simplify_to("2×A×B×C+2.3×A×B+3×A^2+5.2×A×B×C+4×A^2", "(70×A^2+23×A×B+72×A×B×C)/10");
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assert_parsed_expression_simplify_to("(A×B)^2×A+4×A^3", "4×A^3+A^3×B^2");
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assert_parsed_expression_simplify_to("(A×3)^2×A+4×A^3", "13×A^3");
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assert_parsed_expression_simplify_to("A^2^2×A+4×A^3", "A^5+4×A^3");
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assert_parsed_expression_simplify_to("0.5+4×A×B-2.3+2×A×B-2×B×A^C-cos(4)+2×A^C×B+A×B×C×D", "(-5×cos(4)+30×A×B+5×A×B×C×D-9)/5");
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assert_parsed_expression_simplify_to("(1+√(2))/5", "(√(2)+1)/5");
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assert_parsed_expression_simplify_to("(2+√(6))^2", "4×√(6)+10");
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assert_parsed_expression_simplify_to("tan(3)ln(2)+π", "tan(3)×ln(2)+π");
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// Complex
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assert_parsed_expression_simplify_to("𝐢", "𝐢");
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assert_parsed_expression_simplify_to("√(-33)", "√(33)×𝐢");
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assert_parsed_expression_simplify_to("𝐢^(3/5)", "(√(2)×√(-√(5)+5))/4+(√(5)+1)/4×𝐢");
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assert_parsed_expression_simplify_to("𝐢𝐢𝐢𝐢", "1");
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assert_parsed_expression_simplify_to("√(-𝐢)", "√(2)/2-√(2)/2×𝐢");
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assert_parsed_expression_simplify_to("A×cos(9)𝐢𝐢ln(2)", "-A×cos(9)×ln(2)");
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assert_parsed_expression_simplify_to("(√(2)+√(2)×𝐢)/2(√(2)+√(2)×𝐢)/2(√(2)+√(2)×𝐢)/2", "√(2)/32-√(2)/32×𝐢");
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assert_parsed_expression_simplify_to("root(5^((-𝐢)3^9),𝐢)", "1/ℯ^atan(tan(19683×ln(5)))");
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assert_parsed_expression_simplify_to("𝐢^𝐢", "1/ℯ^(π/2)");
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assert_parsed_expression_simplify_to("𝐢/(1+𝐢×√(x))", "𝐢/(√(x)×𝐢+1)");
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assert_parsed_expression_simplify_to("x+𝐢/(1+𝐢×√(x))", "(x^(3/2)×𝐢+𝐢+x)/(√(x)×𝐢+1)");
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//assert_parsed_expression_simplify_to("log(cos(9)^ln(6), cos(9))", "ln(2)+ln(3)"); // TODO: for this to work, we must know the sign of cos(9)
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//assert_parsed_expression_simplify_to("log(cos(9)^ln(6), 9)", "ln(6)×log(cos(9), 9)"); // TODO: for this to work, we must know the sign of cos(9)
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assert_parsed_expression_simplify_to("(((√(6)-√(2))/4)/((√(6)+√(2))/4))+1", "-√(3)+3");
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//assert_parsed_expression_simplify_to("1/√(𝐢) × (√(2)-𝐢×√(2))", "-2𝐢"); // TODO: get rid of complex at denominator?
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}
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