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Beautiful output for DivExpression(Rational * Expression)
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| Original file line number | Diff line number | Diff line change |
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| @@ -1,123 +1,123 @@ | ||
| #include <gtest/gtest.h> | ||
| // #include <gtest/gtest.h> | ||
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| #include "fintamath/expressions/Expression.hpp" | ||
| #include "fintamath/expressions/ExpressionFunctions.hpp" | ||
| #include "fintamath/literals/Variable.hpp" | ||
| #include "fintamath/literals/constants/E.hpp" | ||
| #include "fintamath/literals/constants/Pi.hpp" | ||
| #include "fintamath/numbers/Real.hpp" | ||
| // #include "fintamath/expressions/Expression.hpp" | ||
| // #include "fintamath/expressions/ExpressionFunctions.hpp" | ||
| // #include "fintamath/literals/Variable.hpp" | ||
| // #include "fintamath/literals/constants/E.hpp" | ||
| // #include "fintamath/literals/constants/Pi.hpp" | ||
| // #include "fintamath/numbers/Real.hpp" | ||
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| using namespace fintamath; | ||
| // using namespace fintamath; | ||
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| TEST(FintamathTests, fintamathTests) { | ||
| Expression expr; | ||
| // TEST(FintamathTests, fintamathTests) { | ||
| // Expression expr; | ||
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| expr = add(e(), pi(), Variable("a"), Variable("b")); | ||
| EXPECT_EQ(expr.toString(), "a + b + E + Pi"); | ||
| // expr = add(e(), pi(), Variable("a"), Variable("b")); | ||
| // EXPECT_EQ(expr.toString(), "a + b + E + Pi"); | ||
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| expr = mul(e(), pi(), Variable("a"), Variable("b")); | ||
| EXPECT_EQ(expr.toString(), "E Pi a b"); | ||
| // expr = mul(e(), pi(), Variable("a"), Variable("b")); | ||
| // EXPECT_EQ(expr.toString(), "E Pi a b"); | ||
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| expr = pow(Variable("a"), Variable("b")) * Variable("c"); | ||
| EXPECT_EQ(expr.toString(), "a^b c"); | ||
| // expr = pow(Variable("a"), Variable("b")) * Variable("c"); | ||
| // EXPECT_EQ(expr.toString(), "a^b c"); | ||
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| Variable x("x"); | ||
| Variable y("y"); | ||
| // Variable x("x"); | ||
| // Variable y("y"); | ||
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| // TODO: sin^2(x) + cos^2(x) & tan(x) * cot(x) | ||
| // expr = pow(sin(x), 2) + pow(cos(x), 2) + tan(x) * cot(x); | ||
| // EXPECT_EQ(expr.toString(), "2"); | ||
| // // TODO: sin^2(x) + cos^2(x) & tan(x) * cot(x) | ||
| // // expr = pow(sin(x), 2) + pow(cos(x), 2) + tan(x) * cot(x); | ||
| // // EXPECT_EQ(expr.toString(), "2"); | ||
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| // TODO: trigonometric constants simplify | ||
| // expr = sin(asin(x)) + sin(Expression("-3Pi/2")) + cos(Expression("Pi/4")); | ||
| // EXPECT_EQ(expr.toString(), "x + 1/sqrt(2) + 1"); | ||
| // // TODO: trigonometric constants simplify | ||
| // // expr = sin(asin(x)) + sin(Expression("-3Pi/2")) + cos(Expression("Pi/4")); | ||
| // // EXPECT_EQ(expr.toString(), "x + 1/sqrt(2) + 1"); | ||
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| expr = log(2, 256) + ln(pow(E(), 2)); | ||
| EXPECT_EQ(expr.toString(), "10"); | ||
| // expr = log(2, 256) + ln(pow(E(), 2)); | ||
| // EXPECT_EQ(expr.toString(), "10"); | ||
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| expr = sqrt(Expression(8)); | ||
| EXPECT_EQ(expr.toString(), "2 sqrt(2)"); | ||
| // expr = sqrt(Expression(8)); | ||
| // EXPECT_EQ(expr.toString(), "2 sqrt(2)"); | ||
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| expr = pow(Expression("244706656946119777797996531655819747089832578"), Rational(1, 4)); | ||
| EXPECT_EQ(expr.toString(), "root(2022369065670411386760301914510907000742418, 4) sqrt(11)"); | ||
| // expr = pow(Expression("244706656946119777797996531655819747089832578"), Rational(1, 4)); | ||
| // EXPECT_EQ(expr.toString(), "root(2022369065670411386760301914510907000742418, 4) sqrt(11)"); | ||
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| expr = Expression("(4x^4 + 1 + 3x^3 + 2x) / (x^2 + x + 2)"); | ||
| EXPECT_EQ(expr.toString(), "4 x^2 - x - 7 + (11 x + 15)/(x^2 + x + 2)"); | ||
| // expr = Expression("(4x^4 + 1 + 3x^3 + 2x) / (x^2 + x + 2)"); | ||
| // EXPECT_EQ(expr.toString(), "4 x^2 - x - 7 + (11 x + 15)/(x^2 + x + 2)"); | ||
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| expr = x * x * x * y + 10 * x; | ||
| EXPECT_EQ(expr.toString(), "x^3 y + 10 x"); | ||
| // expr = x * x * x * y + 10 * x; | ||
| // EXPECT_EQ(expr.toString(), "x^3 y + 10 x"); | ||
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| expr = x + 10 * x / 10 + (sqrt(x) * 2); | ||
| EXPECT_EQ(expr.toString(), "2 sqrt(x) + 2 x"); | ||
| // expr = x + 10 * x / 10 + (sqrt(x) * 2); | ||
| // EXPECT_EQ(expr.toString(), "2 sqrt(x) + 2 x"); | ||
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| expr = eqv(x * x + y * y * y, x * y); | ||
| EXPECT_EQ(expr.toString(), "x^2 - x y + y^3 = 0"); | ||
| // expr = eqv(x * x + y * y * y, x * y); | ||
| // EXPECT_EQ(expr.toString(), "x^2 - x y + y^3 = 0"); | ||
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| expr = eqv(x * x + y * y, x * y); | ||
| EXPECT_EQ(expr.toString(), "x^2 - x y + y^2 = 0"); | ||
| // expr = eqv(x * x + y * y, x * y); | ||
| // EXPECT_EQ(expr.toString(), "x^2 - x y + y^2 = 0"); | ||
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| expr = eqv(x / x - y / y, x / y); | ||
| EXPECT_EQ(expr.toString(), "x/y = 0"); | ||
| // expr = eqv(x / x - y / y, x / y); | ||
| // EXPECT_EQ(expr.toString(), "x/y = 0"); | ||
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| expr = eqv(pow(x, 2) - 10, 39); | ||
| EXPECT_EQ(solve(expr).toString(), "x = -7 | x = 7"); | ||
| // expr = eqv(pow(x, 2) - 10, 39); | ||
| // EXPECT_EQ(solve(expr).toString(), "x = -7 | x = 7"); | ||
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| expr = Expression("-4x^2 + 28x - 49 = 0"); | ||
| EXPECT_EQ(solve(expr).toString(), "x = 7/2"); | ||
| // expr = Expression("-4x^2 + 28x - 49 = 0"); | ||
| // EXPECT_EQ(solve(expr).toString(), "x = 7/2"); | ||
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| // TODO: cubic equations and complex numbers | ||
| // expr = Expression("x^3 + x^2 + x + 1 = 0"); | ||
| // EXPECT_EQ(solve(expr).toString(), "x = -I | x = I | x = -1"); | ||
| // // TODO: cubic equations and complex numbers | ||
| // // expr = Expression("x^3 + x^2 + x + 1 = 0"); | ||
| // // EXPECT_EQ(solve(expr).toString(), "x = -I | x = I | x = -1"); | ||
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| // TODO: quadratic inequations | ||
| // expr = Expression("x^2 + x - 1 < 0"); | ||
| // EXPECT_EQ(solve(expr).toString(), "x > -sqrt(2) - 1 & x < sqrt(2) - 1"); | ||
| // // TODO: quadratic inequations | ||
| // // expr = Expression("x^2 + x - 1 < 0"); | ||
| // // EXPECT_EQ(solve(expr).toString(), "x > -sqrt(2) - 1 & x < sqrt(2) - 1"); | ||
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| expr = Expression("-3x^2 + 28x - 49 = 0"); | ||
| EXPECT_EQ(solve(expr).precise(2).toString(), "x = 2.3 | x = 7"); | ||
| // expr = Expression("-3x^2 + 28x - 49 = 0"); | ||
| // EXPECT_EQ(solve(expr).precise(2).toString(), "x = 2.3 | x = 7"); | ||
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| // TODO: derivative | ||
| // expr = derivative(sin(pow(x, 2)) + cos(pow(x, 3)), x); | ||
| // EXPECT_EQ(expr.toString(), "2 x cos(x^2) - 3 x^2 sin(x^3)"); | ||
| // // TODO: derivative | ||
| // // expr = derivative(sin(pow(x, 2)) + cos(pow(x, 3)), x); | ||
| // // EXPECT_EQ(expr.toString(), "2 x cos(x^2) - 3 x^2 sin(x^3)"); | ||
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| // TODO: integral | ||
| // expr = integral(2 * pow(x, 2) + 10 / x, x); | ||
| // EXPECT_EQ(expr.toString(), "(2 x^3)/3 + 10 ln(x)"); | ||
| // // TODO: integral | ||
| // // expr = integral(2 * pow(x, 2) + 10 / x, x); | ||
| // // EXPECT_EQ(expr.toString(), "(2 x^3)/3 + 10 ln(x)"); | ||
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| expr = Expression("~a & b | ~c -> a <-> b !<-> c"); | ||
| EXPECT_EQ(expr.toString(), "(a & b & ~c) | (~a & ~b & ~c) | (~a & c) | (~b & c)"); | ||
| // expr = Expression("~a & b | ~c -> a <-> b !<-> c"); | ||
| // EXPECT_EQ(expr.toString(), "(a & b & ~c) | (~a & ~b & ~c) | (~a & c) | (~b & c)"); | ||
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| { | ||
| Expression expr1("(x+1)^6"); | ||
| EXPECT_EQ(expr1.toString(), "x^6 + 6 x^5 + 15 x^4 + 20 x^3 + 15 x^2 + 6 x + 1"); | ||
| // { | ||
| // Expression expr1("(x+1)^6"); | ||
| // EXPECT_EQ(expr1.toString(), "x^6 + 6 x^5 + 15 x^4 + 20 x^3 + 15 x^2 + 6 x + 1"); | ||
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| Expression expr2 = solve(expr1); | ||
| EXPECT_EQ(expr2.toString(), "x^6 + 6 x^5 + 15 x^4 + 20 x^3 + 15 x^2 + 6 x + 1"); | ||
| // Expression expr2 = solve(expr1); | ||
| // EXPECT_EQ(expr2.toString(), "x^6 + 6 x^5 + 15 x^4 + 20 x^3 + 15 x^2 + 6 x + 1"); | ||
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| Expression expr3 = expr2.precise(10); | ||
| EXPECT_EQ(expr3.toString(), "x^6 + 6 x^5 + 15 x^4 + 20 x^3 + 15 x^2 + 6 x + 1"); | ||
| } | ||
| // Expression expr3 = expr2.precise(10); | ||
| // EXPECT_EQ(expr3.toString(), "x^6 + 6 x^5 + 15 x^4 + 20 x^3 + 15 x^2 + 6 x + 1"); | ||
| // } | ||
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| { | ||
| Expression expr1("(x+1)^7"); | ||
| EXPECT_EQ(expr1.toString(), "x^7 + 7 x^6 + 21 x^5 + 35 x^4 + 35 x^3 + 21 x^2 + 7 x + 1"); | ||
| // { | ||
| // Expression expr1("(x+1)^7"); | ||
| // EXPECT_EQ(expr1.toString(), "x^7 + 7 x^6 + 21 x^5 + 35 x^4 + 35 x^3 + 21 x^2 + 7 x + 1"); | ||
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| Expression expr2 = solve(expr1); | ||
| EXPECT_EQ(expr2.toString(), "x^7 + 7 x^6 + 21 x^5 + 35 x^4 + 35 x^3 + 21 x^2 + 7 x + 1"); | ||
| // Expression expr2 = solve(expr1); | ||
| // EXPECT_EQ(expr2.toString(), "x^7 + 7 x^6 + 21 x^5 + 35 x^4 + 35 x^3 + 21 x^2 + 7 x + 1"); | ||
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| Expression expr3 = expr2.precise(10); | ||
| EXPECT_EQ(expr3.toString(), "x^7 + 7 x^6 + 21 x^5 + 35 x^4 + 35 x^3 + 21 x^2 + 7 x + 1"); | ||
| } | ||
| // Expression expr3 = expr2.precise(10); | ||
| // EXPECT_EQ(expr3.toString(), "x^7 + 7 x^6 + 21 x^5 + 35 x^4 + 35 x^3 + 21 x^2 + 7 x + 1"); | ||
| // } | ||
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| // TODO trigonometry | ||
| // expr = Expression("sin2^2 + cos2^2 = 1"); | ||
| // EXPECT_EQ(solve(expr).toString(), "True"); | ||
| // // TODO trigonometry | ||
| // // expr = Expression("sin2^2 + cos2^2 = 1"); | ||
| // // EXPECT_EQ(solve(expr).toString(), "True"); | ||
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| // TODO: function minimization | ||
| // EXPECT_ANY_THROW(1 / (ln(pow(e(), pow(e(), e()))) - pow(e(), e()))); | ||
| // EXPECT_ANY_THROW(1 / (ln(ln(pow(e(), pow(e(), e())))) - e())); | ||
| // // TODO: function minimization | ||
| // // EXPECT_ANY_THROW(1 / (ln(pow(e(), pow(e(), e()))) - pow(e(), e()))); | ||
| // // EXPECT_ANY_THROW(1 / (ln(ln(pow(e(), pow(e(), e())))) - e())); | ||
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| // TODO: function minimization | ||
| // EXPECT_ANY_THROW(1 / (pow(sin(Real(2)), 2) + pow(cos(Real(2)), 2) - 1)); | ||
| // EXPECT_ANY_THROW(1 / (tan(Real(2)) * cot(Real(2)) - 1)); | ||
| } | ||
| // // TODO: function minimization | ||
| // // EXPECT_ANY_THROW(1 / (pow(sin(Real(2)), 2) + pow(cos(Real(2)), 2) - 1)); | ||
| // // EXPECT_ANY_THROW(1 / (tan(Real(2)) * cot(Real(2)) - 1)); | ||
| // } |
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