public static Expr Create(BigInteger value)
{
if (value == 0) return new Zero();
if (value == 1) return new One();
if (value < 0) NegativeOp.Create(Create(-value));
return new Literal(value);
}
public void ExprTest()
{
const string input = "12 * 3 + foo(-3, x)() * (2 + 1)";
var actual = AddOp.Create(
MultiplyOp.Create(
Literal.Create(12),
Literal.Create(3)
),
MultiplyOp.Create(
Call.Create(
Call.Create(
new Identifier("foo"),
NegativeOp.Create(Literal.Create(3)),
new Identifier("x")
)
),
AddOp.Create(
new Two(),
new One()
)
)
).Simplify();
var expected = ExprParser.ParseOrThrow(input);
Assert.AreEqual(expected.Simplify(), actual);
}
public void CreateNegativeZeroTest()
{
var zero = new Zero();
var negativezero = NegativeOp.Create(0);
Assert.AreEqual(zero, negativezero);
}
public void Test4()
{
var d = ExprParser.ParseOrThrow("2*4/3-4");
var dsimped = d.Simplify();
Assert.AreEqual(dsimped, NegativeOp.Create(DivideOp.Create(4, 3)));
}
public void AddToNegativeLiteralTest()
{
var actual1 = SubtractOp.Create(new Identifier("x"), 1);
var actual2 = SubtractOp.Create(1, new Identifier("x"));
Assert.AreEqual(X + new NegativeOne(), actual1);
Assert.AreEqual(One + NegativeOp.Create(X), actual2);
}
public static Expr ToExpr(this BigInteger i)
{
if (i < 0)
{
return(NegativeOp.Create(Literal.Create(BigInteger.Abs(i))));
}
return(Literal.Create(i));
}
public void Test1()
{
const string input = "-(2-a)^1+3";
var actual = AddOp.Create(NegativeOp.Create(PowerOp.Create(SubtractOp.Create(new Two(), new Identifier("a")), new One())), Literal.Create(3)).Simplify();
var expected = ExprParser.ParseOrThrow(input);
Assert.AreEqual(expected.Simplify(), actual);
}
public void SubtractToNegativeLiteralTest()
{
var num = new One();
var actual1 = AddOp.Create(new Identifier("x"), 1);
var actual2 = AddOp.Create(1, new Identifier("x"));
Assert.AreEqual(X - NegativeOp.Create(num), actual1);
Assert.AreEqual(num - NegativeOp.Create(X), actual2);
}
public void SqrtN16()
{
var NegSixteen = NegativeOp.Create(Literal.Create(16));
var sqrt = NegSixteen.Sqrt();
var four = Literal.Create(4);
var sqrtOfNegOne = SqrtOp.Create(-1).Simplify();
var expected = four * sqrtOfNegOne;
Assert.AreEqual(sqrt, expected);
}
public void NegateDivideTest()
{
const string input = "- (1/3)";
var actual = NegativeOp.Create(
DivideOp.Create(new One(), Literal.Create(3))
).Simplify();
var expected = ExprParser.ParseOrThrow(input);
Assert.AreEqual(expected, actual);
}
public void NegativeBeforeMultiplyTest()
{
const string input = "-12*3";
var actual = MultiplyOp.Create(
NegativeOp.Create(Literal.Create(12)),
Literal.Create(3)
).Simplify();
var expected = ExprParser.ParseOrThrow(input);
Assert.AreEqual(expected.Simplify(), actual);
}
public void NegativeBeforeSubtractTest()
{
const string input = "-12 - 3";
var actual = SubtractOp.Create(
NegativeOp.Create(Literal.Create(12)),
Literal.Create(3)
).Simplify();
var expected = ExprParser.ParseOrThrow(input).Simplify();
Assert.AreEqual(expected, actual);
}
public void Test3()
{
const string input = "-a/b^1+3-a/b^1";
var term1 = DivideOp.Create(NegativeOp.Create(new Identifier("a")), PowerOp.Create(new Identifier("b"), new One()));
var term2 = Literal.Create(3);
var term3 = DivideOp.Create(new Identifier("a"), PowerOp.Create(new Identifier("b"), new One()));
var actual = SubtractOp.Create(AddOp.Create(term1, term2), term3).Simplify();
var expected = ExprParser.ParseOrThrow(input);
Assert.AreEqual(expected.Simplify(), actual);
}
public void FunctionMethodNegateParamTest()
{
const string input = "foo(-3, x)()";
var actual =
Call.Create(
Call.Create(
new Identifier("foo"),
NegativeOp.Create(Literal.Create(3)),
new Identifier("x")
)).Simplify();
var expected = ExprParser.ParseOrThrow(input);
Assert.AreEqual(expected, actual);
}
public static Expr Create(BigInteger value)
{
if (value == 0)
{
return(new Zero());
}
if (value == 1)
{
return(new One());
}
if (value < 0)
{
NegativeOp.Create(Create(-value));
}
return(new Literal(value));
}
public static Expr Create(decimal value)
{
if (value == 0)
{
return(new Zero());
}
if (value == 1)
{
return(new One());
}
if (value < 0)
{
NegativeOp.Create(Create(-value));
}
return(new Dec(value));
}
public void InvertDivisionOpTest()
{
var a = new Identifier("a");
var b = new Identifier("b");
var actual1 = new One() / a;
Assert.AreEqual(actual1.Invert(), a);
var actual2 = DivideOp.Create(-new One(), a);
Assert.AreEqual(actual2.Invert(), -a);
var actual3 = DivideOp.Create(a, b);
Assert.AreEqual(actual3.Invert(), DivideOp.Create(b, a));
var actual4 = DivideOp.Create(NegativeOp.Create(a), b);
Assert.AreEqual(actual4.Invert(), DivideOp.Create(-b, a));
}
public void NegativeFractionRootOfFive()
{
var d = ExprParser.ParseOrThrow("-(1/2)^5").Simplify();
Assert.AreEqual(d, NegativeOp.Create(DivideOp.Create(1, 32)));
}