public void ReduceMultiplyingTest()
{
EvalSettings evalSettings = new EvalSettings();
evalSettings.EvalFuncs = false;
// 14 + 0 * sin ( 0.3 + 0.5 )
E expr = E.Sum(E.NumConst(14), E.Mul(E.NumConst(0), E.Sin(E.Sum(E.NumConst(0.3), E.NumConst(0.5)))));
E r = expr.Evaluate(evalSettings);
Assert.IsTrue(r is NumericConstant);
Assert.IsTrue((r as NumericConstant).Value == 14);
// 1988 + 0.5 * cos ( a ) * 2
expr = E.Sum(E.NumConst(1988), E.Mul(E.NumConst(0.5), E.Cos(E.Num("a")), E.NumConst(2)));
r = expr.Evaluate(evalSettings);
Assert.IsTrue(r is MultipleOp);
Assert.IsTrue((r as MultipleOp).OpKind == MultipleOpKind.Sum);
Assert.IsTrue((r as MultipleOp).Operands [1] is FuncCall);
}
public void MatrixEvaluationTest()
{
EvalSettings evalSettings = new EvalSettings();
evalSettings.EvalFuncs = false;
Mat4 rotX30 = Mat4.RotX(30);
Mat4 trans = Mat4.Trans(new double3(2, 3, 4));
Mat4 r = rotX30 * trans;
r = r.Evaluate(evalSettings);
//evalSettings = new EvalSettings ( "phi", 30, "theta", 60, "psi", 90.0 );
Mat4 rotX = Mat4.RotX(E.Num("phi"));
Mat4 rotY = Mat4.RotY(E.Num("theta"));
Mat4 rotZ = Mat4.RotZ(E.Num("psi"));
r = rotX * rotY * rotZ;
r = r.Evaluate(evalSettings);
r = r.Transposed;
}
public void EvaluateTest()
{
E numExpr = E.Num("a", 14.0);
E vecExpr = E.Vec("v", new double4(2, 3, 4, 5));
EvalSettings evalSettings = new EvalSettings(true);
E r = numExpr.Evaluate(evalSettings);
Assert.IsTrue(r is NumericConstant);
// -a
E negatedExpr = E.Negate(numExpr);
r = negatedExpr.Evaluate(evalSettings);
Assert.IsTrue(r is NumericConstant);
Assert.IsTrue((r as NumericConstant).Value == -14);
// -v
negatedExpr = E.Negate(vecExpr);
r = negatedExpr.Evaluate(evalSettings);
Assert.IsTrue(r is Variable);
Assert.IsTrue((r as Variable).Value is double4);
Assert.IsTrue(( double4 )(r as Variable).Value == new double4(-2, -3, -4, -5));
// sin ( a )
E funcExpr = E.Sin(numExpr);
r = funcExpr.Evaluate(evalSettings);
Assert.IsTrue(r is NumericConstant);
Assert.IsTrue((r as NumericConstant).Value == Math.Sin(14.0));
// cos ( b )
E varExpr = E.Num("b");
funcExpr = E.Cos(varExpr);
r = funcExpr.Evaluate(evalSettings);
Assert.IsFalse(r is NumericConstant);
// v.y
E propAccess = vecExpr.Prop("y");
r = propAccess.Evaluate(evalSettings);
Assert.IsTrue(r is NumericConstant);
Assert.IsTrue((r as NumericConstant).Value == 3);
// a = 1988, b = numeric unknown
// 14 + a + b
E sumExpr = E.Sum(E.NumConst(14.0), E.Num("a", 1988), E.Num("b"));
r = sumExpr.Evaluate(evalSettings);
Assert.IsTrue(r is MultipleOp);
Assert.IsTrue((r as MultipleOp).OpKind == MultipleOpKind.Sum);
Assert.IsTrue((r as MultipleOp).Operands [0] is NumericConstant);
Assert.IsTrue(((r as MultipleOp).Operands [0] as NumericConstant).Value == 2002);
// v = { 1, 0, 0, 0 }
// v2 = { 0, 1, 0, 0 }
// n = vector unknown
// v + v2 + n
E vSumExpr = E.Sum(E.Vec("v", new double4(1, 0, 0, 0)), E.Vec("v2", double4.UnitY), E.Vec("n"));
r = vSumExpr.Evaluate(evalSettings);
Assert.IsTrue(r is MultipleOp);
Assert.IsTrue((r as MultipleOp).OpKind == MultipleOpKind.Sum);
Assert.IsTrue((r as MultipleOp).Operands [0] is Variable);
Assert.IsTrue(( double4 )((r as MultipleOp).Operands [0] as Variable).Value == new double4(1, 1, 0, 1));
// a = 14, b = numeric unknown
// 1988 - a - b
E subExpr = E.Sub(E.NumConst(1988), E.Num("a", 14.0), E.Num("b"));
r = subExpr.Evaluate(evalSettings);
Assert.IsTrue(r is MultipleOp);
Assert.IsTrue((r as MultipleOp).OpKind == MultipleOpKind.Sum);
Assert.IsTrue((r as MultipleOp).Operands [0] is NumericConstant);
Assert.IsTrue(((r as MultipleOp).Operands [0] as NumericConstant).Value == 1974);
// v = { 1, 0, 0, 0 }
// v2 = { 0, 1, 0, 0 }
// n = vector unknown
// v - v2 - n
E vSubExpr = E.Sub(E.Vec("v", new double4(1, 0, 0, 0)), E.Vec("v2", double4.UnitY), E.Vec("n"));
r = vSubExpr.Evaluate(evalSettings);
Assert.IsTrue(r is MultipleOp);
Assert.IsTrue((r as MultipleOp).OpKind == MultipleOpKind.Sum);
Assert.IsTrue((r as MultipleOp).Operands [0] is Variable);
Assert.IsTrue(( double4 )((r as MultipleOp).Operands [0] as Variable).Value == new double4(1, -1, 0, 1));
// a = 14, b = numeric unknown
// 1988 % a % b
E modExpr = E.Mod(E.NumConst(1988), E.Num("a", 14.0), E.Num("b"));
r = modExpr.Evaluate(evalSettings);
Assert.IsTrue(r is MultipleOp);
Assert.IsTrue((r as MultipleOp).OpKind == MultipleOpKind.Mod);
Assert.IsTrue((r as MultipleOp).Operands [0] is NumericConstant);
Assert.IsTrue(((r as MultipleOp).Operands [0] as NumericConstant).Value == 0);
// a = 14, b = numeric unknown
// 1988 * a * b
E mulExpr = E.Mul(E.NumConst(1988), E.Num("a", 14.0), E.Num("b"));
r = mulExpr.Evaluate(evalSettings);
Assert.IsTrue(r is MultipleOp);
Assert.IsTrue((r as MultipleOp).OpKind == MultipleOpKind.Mul);
Assert.IsTrue((r as MultipleOp).Operands [0] is NumericConstant);
Assert.IsTrue(((r as MultipleOp).Operands [0] as NumericConstant).Value == 27832);
// v = { 1, 2, 3, 1 }, b = numeric unknown
// v * 14 * b
E vMulExpr = E.Mul(E.Vec("v", new double4(1, 2, 3, 1)), E.NumConst(14), E.Num("b"));
r = vMulExpr.Evaluate(evalSettings);
Assert.IsTrue(r is MultipleOp);
Assert.IsTrue((r as MultipleOp).OpKind == MultipleOpKind.Mul);
Assert.IsTrue((r as MultipleOp).Operands [0] is Variable);
Assert.IsTrue(( double4 )((r as MultipleOp).Operands [0] as Variable).Value == new double4(14, 28, 42, 1));
// a = 14
// 1988 / a
E divExpr = E.Div(E.NumConst(1988), E.Num("a", 14.0));
r = divExpr.Evaluate(evalSettings);
Assert.IsTrue(r is NumericConstant);
Assert.IsTrue((r as NumericConstant).Value == 142);
// a = 14, b = numeric unknown
// a / b
divExpr = E.Div(E.Num("a", 14.0), E.Num("b"));
r = divExpr.Evaluate(evalSettings);
Assert.IsTrue(r is MultipleOp);
Assert.IsTrue((r as MultipleOp).OpKind == MultipleOpKind.Div);
Assert.IsTrue((r as MultipleOp).Operands [0] is NumericConstant);
Assert.IsTrue(((r as MultipleOp).Operands [0] as NumericConstant).Value == 14);
// v = { 1, 2, 3, 1 }
// v / 14
E vDivExpr = E.Div(E.Vec("v", new double4(1, 2, 3, 1)), E.NumConst(14));
r = vDivExpr.Evaluate(evalSettings);
Assert.IsTrue(r is Variable);
Assert.IsTrue(( double4 )(r as Variable).Value == new double4(1.0 / 14, 2.0 / 14, 3.0 / 14, 1));
// v = { 1, 2, 3, 1 }, b = numeric unknown
// v / b
vDivExpr = E.Div(E.Vec("v", new double4(1, 2, 3, 1)), E.Num("b"));
r = vDivExpr.Evaluate(evalSettings);
Assert.IsTrue(r is MultipleOp);
Assert.IsTrue((r as MultipleOp).OpKind == MultipleOpKind.Div);
Assert.IsTrue((r as MultipleOp).Operands [0] is Variable);
Assert.IsTrue(( double4 )((r as MultipleOp).Operands [0] as Variable).Value == new double4(1.0, 2.0, 3.0, 1));
// v1 = { 1, 2, 3, 1 }
// v2 = { 3, 2, 1, 1 }
// v1 & v2
E vDotExpr = E.Dot(E.Vec("v1", new double4(1, 2, 3, 1)), E.Vec("v2", new double4(3, 2, 1, 1)));
r = vDotExpr.Evaluate(evalSettings);
Assert.IsTrue(r is NumericConstant);
Assert.IsTrue((r as NumericConstant).Value == 10);
// v1 = { 1, 2, 3, 1 }
// v2 = { 3, 2, 1, 1 }
// v1 x v2
E vCrossExpr = E.Cross(E.Vec("v1", new double4(1, 2, 3, 1)), E.Vec("v2", new double4(3, 2, 1, 1)));
r = vCrossExpr.Evaluate(evalSettings);
Assert.IsTrue((r is Variable));
Assert.IsTrue(( double4 )(r as Variable).Value == new double4(-4, 8, -4, 1));
}