void ToExpressionSet(ExpressionSet es)
{
//ExpressionSet es = new ExpressionSet();
List <string> tokens = ExpressionParser.Parse(xInput.text);
es.AddExpression("X", new Expression(tokens));
tokens = ExpressionParser.Parse(yInput.text);
es.AddExpression("Y", new Expression(tokens));
tokens = ExpressionParser.Parse(zInput.text);
es.AddExpression("Z", new Expression(tokens));
if (uInput != null)
{
es.AddRange("u", ToRangePair(uInput.text));
}
if (vInput != null)
{
es.AddRange("v", ToRangePair(vInput.text));
}
if (wInput != null)
{
es.AddRange("w", ToRangePair(wInput.text));
}
if (tInput != null)
{
es.AddRange("t", ToRangePair(tInput.text));
}
//return es;
}
// Use this for initialization
void Start()
{
es = new ExpressionSet();
es.expressions["X"].tokens = new List <string>
{
//2Pz
//"(","1","/","4","*","1","/","2","^","(","1","/","2",")","*","1","/","pi","^","(","1","/","2",")",
//"*","z","*","e","^","(","-","1","*","(","x","^","2","+","y","^","2","+","z","^","2",")","/","2",")",")","^","2"
//3Pz
"(", "2", "^", "(", "1", "/", "2", ")", "*", "1", "/", "8", "1", "*", "1", "/", "pi", "^", "(", "1", "/", "2", ")", "*",
"(", "6", "-", "(", "x", "^", "2", "+", "y", "^", "2", "+", "z", "^", "2", ")", "^", "(", "1", "/", "2", ")", ")",
"*", "z", "*", "e", "^", "(", "-", "1", "*", "(", "x", "^", "2", "+", "y", "^", "2", "+", "z", "^", "2", ")", "^", "(", "1", "/", "2", ")", "/", "3", ")", ")", "^", "2"
//3Dz2
//"(","1","/","81","*","1","/","6","^","(","1","/","2",")","*","1","/","pi","^","(","1","/","2",")",
//"*","(","3","*","z","^","2","-","x","^","2","+","y","^","2","+","z","^","2",")",
//"*","e","^","(","-","1","*","(","x","^","2","+","y","^","2","+","z","^","2",")","/","3",")",")","^","2"
};
es.expressions["Y"].tokens = new List <string>
{
"0"
};
es.expressions["Z"].tokens = new List <string>
{
"0"
};
es.AddRange("x");
es.AddRange("y");
es.AddRange("z");
es.ranges["t"].Min.tokens = new List <string>
{
"-", "5", "0"
};
es.ranges["t"].Max.tokens = new List <string>
{
"5", "0"
};
densityPreset.Initialize(this);
//print("START");
// responder = new DensityKeyboardInputResponder(xInputbox, yInputbox, zInputbox, tminInput, tmaxInput);
// keyboard.RegisterResponder(responder);
//responder.initialize();
//print(responder);
}
public void initialize()
{
es = new ExpressionSet();
es.expressions["X"].tokens = new List <string>
{
"y"
};
es.expressions["Y"].tokens = new List <string>
{
"-x"
};
es.expressions["Z"].tokens = new List <string>
{
"0"
};
es.ranges["t"].Min.tokens = new List <string>
{
"-", "5", "0"
};
es.ranges["t"].Max.tokens = new List <string>
{
"5", "0"
};
es.AddRange("x");
es.AddRange("y");
es.AddRange("z");
currExpression = es.expressions["X"];
currText = xText;
index = currExpression.tokens.Count;
isReady = true;
xText.text = displayText(es.expressions["X"].tokens, es.expressions["X"].tokens.Count, false);
yText.text = displayText(es.expressions["Y"].tokens, es.expressions["Y"].tokens.Count, false);
zText.text = displayText(es.expressions["Z"].tokens, es.expressions["Z"].tokens.Count, false);
tminText.text = displayText(es.ranges["t"].Min.tokens, es.ranges["t"].Min.tokens.Count, false);
tmaxText.text = displayText(es.ranges["t"].Max.tokens, es.ranges["t"].Max.tokens.Count, false);
currText.text = displayText(currExpression.tokens, index, true);
}
protected void HandleInput(string source)
{
List <string> x;
List <string> y;
List <string> z;
List <string> umin = ExpressionParser.Parse("");
List <string> umax = ExpressionParser.Parse("");
List <string> tmin = ExpressionParser.Parse("");
List <string> tmax = ExpressionParser.Parse("");
List <string> vmin = ExpressionParser.Parse("");
List <string> vmax = ExpressionParser.Parse("");
List <string> wmin = ExpressionParser.Parse("");
List <string> wmax = ExpressionParser.Parse("");
ExpressionSet expressionSet = calcManager.expressionSet;
switch (source)
{
default:
x = ExpressionParser.Parse("0.75*sin(2*pi*v)");
y = ExpressionParser.Parse("sin(pi*u)*(1.5+0.75*cos(2*pi*v))");
z = ExpressionParser.Parse("cos(pi*u)*(1.5+0.75*cos(2*pi*v))");
umin = ExpressionParser.Parse("1.5");
umax = ExpressionParser.Parse("2.5");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("1");
List <string> x2 = ExpressionParser.Parse("0.75*cos(pi*u)");
List <string> y2 = ExpressionParser.Parse("0.75*sin(pi*u)*cos(2*pi*v)+2.4");
List <string> z2 = ExpressionParser.Parse("0.75*sin(pi*u)*sin(2*pi*v)+2.6");
List <string> umin2 = ExpressionParser.Parse("0");
List <string> umax2 = ExpressionParser.Parse("1");
List <string> vmin2 = ExpressionParser.Parse("0");
List <string> vmax2 = ExpressionParser.Parse("1");
List <string> x3 = ExpressionParser.Parse("0.75*sin(2*pi*u)");
List <string> y3 = ExpressionParser.Parse("0.75*cos(2*pi*u)+1.5*cos(pi/8*v)");
List <string> z3 = ExpressionParser.Parse("-1.5*sin(pi/8*v)");
List <string> umin3 = ExpressionParser.Parse("0");
List <string> umax3 = ExpressionParser.Parse("1");
List <string> vmin3 = ExpressionParser.Parse("0");
List <string> vmax3 = ExpressionParser.Parse("1");
List <string> x4 = ExpressionParser.Parse("0.75*sin(2*pi*u)");
List <string> y4 = ExpressionParser.Parse("0.75*cos(2*pi*u)-1.5*cos(pi/8*v)");
List <string> z4 = ExpressionParser.Parse("-1.5*sin(pi/8*v)");
List <string> umin4 = ExpressionParser.Parse("0");
List <string> umax4 = ExpressionParser.Parse("1");
List <string> vmin4 = ExpressionParser.Parse("0");
List <string> vmax4 = ExpressionParser.Parse("1");
Expression X = new Expression(x);
Expression Y = new Expression(y);
Expression Z = new Expression(z);
Expression X2 = new Expression(x2);
Expression Y2 = new Expression(y2);
Expression Z2 = new Expression(z2);
Expression X3 = new Expression(x3);
Expression Y3 = new Expression(y3);
Expression Z3 = new Expression(z3);
Expression X4 = new Expression(x4);
Expression Y4 = new Expression(y4);
Expression Z4 = new Expression(z4);
Range zeroRange = new Range(ExpressionParser.Parse("0"));
Range oneRange = new Range(ExpressionParser.Parse("1"));
Range onePointFive = new Range(ExpressionParser.Parse("1.5"));
Range twoPointFive = new Range(ExpressionParser.Parse("2.5"));
RangePair zeroToZero = new RangePair(zeroRange, zeroRange);
RangePair zeroToOne = new RangePair(zeroRange, oneRange);
List <RangePair> rangePairs = new List <RangePair>()
{
zeroToZero, new RangePair(onePointFive, twoPointFive), zeroToOne, zeroToOne
};
List <RangePair> rangePairs2 = new List <RangePair>()
{
zeroToZero, zeroToOne, zeroToOne, zeroToZero
};
ExpressionSet expSet = new ExpressionSet(new string[] { "t", "u", "v", "w" }, rangePairs, new string[] { "X", "Y", "Z" }, new List <Expression>()
{
X, Y, Z
});
ExpressionSet expSet2 = new ExpressionSet(new string[] { "t", "u", "v", "w" }, rangePairs2, new string[] { "X", "Y", "Z" }, new List <Expression>()
{
X2, Y2, Z2
});
ExpressionSet expSet3 = new ExpressionSet(new string[] { "t", "u", "v", "w" }, rangePairs2, new string[] { "X", "Y", "Z" }, new List <Expression>()
{
X3, Y3, Z3
});
ExpressionSet expSet4 = new ExpressionSet(new string[] { "t", "u", "v", "w" }, rangePairs2, new string[] { "X", "Y", "Z" }, new List <Expression>()
{
X4, Y4, Z4
});
List <ExpressionSet> nanomeLogo = new List <ExpressionSet>()
{
expSet, expSet2, expSet3, expSet4
};
CalcManager.Instance.LoadSavedExpressionSets(nanomeLogo);
print("unknown preset pressed");
return;
//R1 -> R1
case "Cinquefoil Knot":
x = ExpressionParser.Parse("cos(t)*(2-cos(2*t/5))");
y = ExpressionParser.Parse("sin(t)*(2-cos(2*t/5))");
z = ExpressionParser.Parse("-sin(2*t/5)");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("10*pi");
break;
case "Circle":
x = ExpressionParser.Parse("cos(t)");
y = ExpressionParser.Parse("sin(t)");
z = ExpressionParser.Parse("0");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("2pi");
break;
case "Sphere Outline":
x = ExpressionParser.Parse("sin(t)*cos(32*t)");
y = ExpressionParser.Parse("sin(t)*sin(32*t)");
z = ExpressionParser.Parse("cos(t)");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("pi");
break;
case "Hypocloid":
x = ExpressionParser.Parse("cos(t)^3");
y = ExpressionParser.Parse("sin(t)^3");
z = ExpressionParser.Parse("0");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("4pi");
break;
case "Hypocloid Surface":
x = ExpressionParser.Parse("10*cos(t*32)^3");
y = ExpressionParser.Parse("10*sin(t*32)^3");
z = ExpressionParser.Parse("t-2*pi");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("4pi");
break;
case "Trefoil Knot":
x = ExpressionParser.Parse("sin(t)+2*sin(2*t)");
y = ExpressionParser.Parse("cos(t)-2*cos(2*t)");
z = ExpressionParser.Parse("-sin(3*t)");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("2*pi");
break;
case "Turnip":
x = ExpressionParser.Parse("(sin(t/16)^2)*cos(8*t)*8*pi");
y = ExpressionParser.Parse("(sin(t/16))^2*sin(8*t)*8*pi");
z = ExpressionParser.Parse("8*pi-t");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("16pi");
break;
case "Wavy Surface":
x = ExpressionParser.Parse("(sin(t/2)^(1/2)*cos(256*t)*pi)");
y = ExpressionParser.Parse("(sin(t/2))^(1/2)*sin(64*t)*pi");
z = ExpressionParser.Parse("pi-t");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("2pi");
break;
case "High-res Sphere":
x = ExpressionParser.Parse("sin(t)*cos(1024*t)");
y = ExpressionParser.Parse("sin(t)*sin(1024*t)");
z = ExpressionParser.Parse("cos(t)");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("pi");
break;
//R2->R3
case "Astroidal Ellipse":
x = ExpressionParser.Parse("(2*cos(u)*cos(v))^3");
y = ExpressionParser.Parse("(2*sin(u)*cos(v))^3");
z = ExpressionParser.Parse("(2*sin(v))^3");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2*pi");
break;
case "Bumpy Sphere":
x = ExpressionParser.Parse("5*sin(u)*sin(v)+cos(30*v)*0.15");
y = ExpressionParser.Parse("5*cos(u)*sin(v)+cos(30*u)*0.15");
z = ExpressionParser.Parse("5*cos(v)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("2*pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("pi");
break;
case "Dini's Surface":
x = ExpressionParser.Parse("3*cos(u)*sin(v)");
y = ExpressionParser.Parse("3*sin(u)*sin(v)");
z = ExpressionParser.Parse("3*(cos(v)+log(tan(0.5*v)))+0.4*u");
umin = ExpressionParser.Parse("-4*pi");
umax = ExpressionParser.Parse("4*pi");
vmin = ExpressionParser.Parse("0.005");
vmax = ExpressionParser.Parse("3.135");
break;
case "Figure-8":
x = ExpressionParser.Parse("(3+cos(u/2)*sin(v)-sin(u/2)*sin(2*v))*cos(u)");
y = ExpressionParser.Parse("(3+cos(u/2)*sin(v)-sin(u/2)*sin(2*v))*sin(u)");
z = ExpressionParser.Parse("sin(u/2)*sin(v)-cos(u/2)*sin(2*v)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("2*pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2*pi");
break;
case "Gray's Surface":
x = ExpressionParser.Parse("(3+cos(3*u/2)*sin(v)-sin(3*u/2)*sin(2*v))*cos(u/2)");
y = ExpressionParser.Parse("(3+cos(3*u/2)*sin(v)-sin(3*u/2)*sin(2*v))*sin(u/2)");
z = ExpressionParser.Parse("sin(3*u/2)*sin(v)+cos(3*u/2)*sin(2*v)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("4*pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Knot":
x = ExpressionParser.Parse("3*sin(3*u)/2+cos(v)))");
y = ExpressionParser.Parse("3*(sin(u)+2*sin(2*u))/(2+cos(v+pi*2/3))");
z = ExpressionParser.Parse("3/2*(cos(u)-2*cos(2*u))*(2+cos(v))*(2+cos(v+pi*2/3))/4");
umin = ExpressionParser.Parse("-pi");
umax = ExpressionParser.Parse("2pi");
vmin = ExpressionParser.Parse("-pi");
vmax = ExpressionParser.Parse("2pi");
break;
case "Mobius":
x = ExpressionParser.Parse("(5+u*cos(0.5*v))*cos(v)");
y = ExpressionParser.Parse("(5+u*cos(0.5*v))*sin(v)");
z = ExpressionParser.Parse("u*sin(0.5*v)");
umin = ExpressionParser.Parse("-1");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2*pi");
break;
case "Radial Wave":
x = ExpressionParser.Parse("u");
y = ExpressionParser.Parse("v");
z = ExpressionParser.Parse("cos((u^2+v^2)^0.5)");
umin = ExpressionParser.Parse("-10");
umax = ExpressionParser.Parse("10");
vmin = ExpressionParser.Parse("-10");
vmax = ExpressionParser.Parse("10");
break;
case "Torus":
x = ExpressionParser.Parse("(5+cos(v))*cos(u)");
y = ExpressionParser.Parse("(5+cos(v))*sin(u)");
z = ExpressionParser.Parse("sin(v)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("2pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
//R3->R3
case "Cone":
x = ExpressionParser.Parse("ucos(v)w");
y = ExpressionParser.Parse("usin(v)w");
z = ExpressionParser.Parse("w");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("1");
break;
case "Cube":
x = ExpressionParser.Parse("u");
y = ExpressionParser.Parse("v");
z = ExpressionParser.Parse("w");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("1");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("1");
break;
case "Cylinder":
x = ExpressionParser.Parse("ucos(v)");
y = ExpressionParser.Parse("usin(v)");
z = ExpressionParser.Parse("w");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("1");
break;
case "Sphere":
x = ExpressionParser.Parse("ucos(v)sin(w)");
y = ExpressionParser.Parse("usin(v)sin(w)");
z = ExpressionParser.Parse("ucos(w)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("2pi");
break;
case "Tetrahedron":
x = ExpressionParser.Parse("u(1-v)");
y = ExpressionParser.Parse("uv(1-w)");
z = ExpressionParser.Parse("uvw");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("1");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("1");
break;
// Orbitals
case "S":
x = ExpressionParser.Parse("(1/2*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(1/2*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(1/2*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Px":
x = ExpressionParser.Parse("(3^(1/2)/2*sin(u)*1/pi^(1/2)*sin(v))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(3^(1/2)/2*sin(u)*1/pi^(1/2)*sin(v))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(3^(1/2)/2*sin(u)*1/pi^(1/2)*sin(v))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Py":
x = ExpressionParser.Parse("(3^(1/2)/2*sin(u)*1/pi^(1/2)*cos(v))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(3^(1/2)/2*sin(u)*1/pi^(1/2)*cos(v))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(3^(1/2)/2*sin(u)*1/pi^(1/2)*cos(v))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Pz":
x = ExpressionParser.Parse("(3^(1/2)/2*cos(u)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(3^(1/2)/2*cos(u)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(3^(1/2)/2*cos(u)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Dz\x00B2":
goto case "Dz2";
case "Dz2":
x = ExpressionParser.Parse("(5^(1/2)/4*(3*((cos(u))^2)-1)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(5^(1/2)/4*(3*((cos(u))^2)-1)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(5^(1/2)/4*(3*((cos(u))^2)-1)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Dxz":
x = ExpressionParser.Parse("(15^(1/2)/2*sin(u)*cos(u)*1/pi^(1/2)*sin(v))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(15^(1/2)/2*sin(u)*cos(u)*1/pi^(1/2)*sin(v))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(15^(1/2)/2*sin(u)*cos(u)*1/pi^(1/2)*sin(v))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Dyz":
x = ExpressionParser.Parse("(15^(1/2)/2*sin(u)*cos(u)*1/pi^(1/2)*cos(v))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(15^(1/2)/2*sin(u)*cos(u)*1/pi^(1/2)*cos(v))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(15^(1/2)/2*sin(u)*cos(u)*1/pi^(1/2)*cos(v))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Dxy":
x = ExpressionParser.Parse("(15^(1/2)/4*sin(u)^2*1/pi^(1/2)*sin(2v))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(15^(1/2)/4*sin(u)^2*1/pi^(1/2)*sin(2v))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(15^(1/2)/4*sin(u)^2*1/pi^(1/2)*sin(2v))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Dx\x00B2-y\x00B2":
goto case "Dx2-y2";
case "Dx2-y2":
x = ExpressionParser.Parse("(15^(1/2)/4*sin(u)^2*1/pi^(1/2)*cos(2v))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(15^(1/2)/4*sin(u)^2*1/pi^(1/2)*cos(2v))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(15^(1/2)/4*sin(u)^2*1/pi^(1/2)*cos(2v))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fz\x00B3":
goto case "Fz3";
case "Fz3":
x = ExpressionParser.Parse("(7^(1/2)/4*(5*((cos(u))^2)-3)*cos(u)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(7^(1/2)/4*(5*((cos(u))^2)-3)*cos(u)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(7^(1/2)/4*(5*((cos(u))^2)-3)*cos(u)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fxz\x00B2":
goto case "Fxz2";
case "Fxz2":
x = ExpressionParser.Parse("(42^(1/2)/8*(5*((cos(u))^2)-1)*sin(u)*sin(v)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(42^(1/2)/8*(5*((cos(u))^2)-1)*sin(u)*sin(v)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(42^(1/2)/8*(5*((cos(u))^2)-1)*sin(u)*sin(v)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fyz\x00B2":
goto case "Fyz2";
case "Fyz2":
x = ExpressionParser.Parse("(42^(1/2)/8*(5*((cos(u))^2)-1)*sin(u)*cos(v)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(42^(1/2)/8*(5*((cos(u))^2)-1)*sin(u)*cos(v)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(42^(1/2)/8*(5*((cos(u))^2)-1)*sin(u)*cos(v)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fxyz":
x = ExpressionParser.Parse("(105^(1/2)/4*sin(u)^2*cos(u)*cos(2v)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(105^(1/2)/4*sin(u)^2*cos(u)*cos(2v)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(105^(1/2)/4*sin(u)^2*cos(u)*cos(2v)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fz\x0028x\x00B2-y\x00B2\x0029":
goto case "Fzx2y2";
case "Fzx2y2":
x = ExpressionParser.Parse("(105^(1/2)/4*sin(u)^2*cos(u)*sin(2v)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(105^(1/2)/4*sin(u)^2*cos(u)*sin(2v)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(105^(1/2)/4*sin(u)^2*cos(u)*sin(2v)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fx\x0028x\x00B2-3y\x00B2\x0029":
goto case "Fxx23y2";
case "Fxx23y2":
x = ExpressionParser.Parse("(70^(1/2)/8*sin(u)^3*sin(3v)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(70^(1/2)/8*sin(u)^3*sin(3v)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(70^(1/2)/8*sin(u)^3*sin(3v)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fy\x00283x\x00B2-y\x00B2\x0029":
goto case "Fy3x2y2";
case "Fy3x2y2":
x = ExpressionParser.Parse("(70^(1/2)/8*sin(u)^3*cos(3v)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(70^(1/2)/8*sin(u)^3*cos(3v)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(70^(1/2)/8*sin(u)^3*cos(3v)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
}
expressionSet.AddExpression("X", x);
expressionSet.AddExpression("Y", y);
expressionSet.AddExpression("Z", z);
expressionSet.AddRange("t", tmin, tmax);
expressionSet.AddRange("u", umin, umax);
expressionSet.AddRange("v", vmin, vmax);
expressionSet.AddRange("w", wmin, wmax);
calcManager.PresetPressed();
}
protected void HandleInput(string source)
{
List <string> x;
List <string> y;
List <string> z;
List <string> umin = ExpressionParser.Parse("");
List <string> umax = ExpressionParser.Parse("");
List <string> tmin = ExpressionParser.Parse("");
List <string> tmax = ExpressionParser.Parse("");
List <string> vmin = ExpressionParser.Parse("");
List <string> vmax = ExpressionParser.Parse("");
List <string> wmin = ExpressionParser.Parse("");
List <string> wmax = ExpressionParser.Parse("");
ExpressionSet expressionSet = calcManager.expressionSet;
switch (source)
{
default:
x = ExpressionParser.Parse("0");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("0");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("0");
print("unknown preset pressed");
break;
//R1 -> R1
case "Cinquefoil Knot":
x = ExpressionParser.Parse("cos(t)*(2-cos(2*t/5))");
y = ExpressionParser.Parse("sin(t)*(2-cos(2*t/5))");
z = ExpressionParser.Parse("-sin(2*t/5)");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("10*pi");
break;
case "Circle":
x = ExpressionParser.Parse("cos(t)");
y = ExpressionParser.Parse("sin(t)");
z = ExpressionParser.Parse("0");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("2pi");
break;
case "Sphere Outline":
x = ExpressionParser.Parse("sin(t)*cos(32*t)");
y = ExpressionParser.Parse("sin(t)*sin(32*t)");
z = ExpressionParser.Parse("cos(t)");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("pi");
break;
case "Hypocloid":
x = ExpressionParser.Parse("cos(t)^3");
y = ExpressionParser.Parse("sin(t)^3");
z = ExpressionParser.Parse("0");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("4pi");
break;
case "Hypocloid Surface":
x = ExpressionParser.Parse("10*cos(t*32)^3");
y = ExpressionParser.Parse("10*sin(t*32)^3");
z = ExpressionParser.Parse("t-2*pi");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("4pi");
break;
case "Trefoil Knot":
x = ExpressionParser.Parse("sin(t)+2*sin(2*t)");
y = ExpressionParser.Parse("cos(t)-2*cos(2*t)");
z = ExpressionParser.Parse("-sin(3*t)");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("2*pi");
break;
case "Turnip":
x = ExpressionParser.Parse("(sin(t/16)^2)*cos(8*t)*8*pi");
y = ExpressionParser.Parse("(sin(t/16))^2*sin(8*t)*8*pi");
z = ExpressionParser.Parse("8*pi-t");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("16pi");
break;
case "Wavy Surface":
x = ExpressionParser.Parse("(sin(t/2)^(1/2)*cos(256*t)*pi)");
y = ExpressionParser.Parse("(sin(t/2))^(1/2)*sin(64*t)*pi");
z = ExpressionParser.Parse("pi-t");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("2pi");
break;
case "High-res Sphere":
x = ExpressionParser.Parse("sin(t)*cos(1024*t)");
y = ExpressionParser.Parse("sin(t)*sin(1024*t)");
z = ExpressionParser.Parse("cos(t)");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("pi");
break;
//R2->R3
case "Astroidal Ellipse":
x = ExpressionParser.Parse("(2*cos(u)*cos(v))^3");
y = ExpressionParser.Parse("(2*sin(u)*cos(v))^3");
z = ExpressionParser.Parse("(2*sin(v))^3");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2*pi");
break;
case "Bumpy Sphere":
x = ExpressionParser.Parse("5*sin(u)*sin(v)+cos(30*v)*0.15");
y = ExpressionParser.Parse("5*cos(u)*sin(v)+cos(30*u)*0.15");
z = ExpressionParser.Parse("5*cos(v)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("2*pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("pi");
break;
case "Dini's Surface":
x = ExpressionParser.Parse("3*cos(u)*sin(v)");
y = ExpressionParser.Parse("3*sin(u)*sin(v)");
z = ExpressionParser.Parse("3*(cos(v)+log(tan(0.5*v)))+0.4*u");
umin = ExpressionParser.Parse("-4*pi");
umax = ExpressionParser.Parse("4*pi");
vmin = ExpressionParser.Parse("0.005");
vmax = ExpressionParser.Parse("3.135");
break;
case "Figure-8":
x = ExpressionParser.Parse("(3+cos(u/2)*sin(v)-sin(u/2)*sin(2*v))*cos(u)");
y = ExpressionParser.Parse("(3+cos(u/2)*sin(v)-sin(u/2)*sin(2*v))*sin(u)");
z = ExpressionParser.Parse("sin(u/2)*sin(v)-cos(u/2)*sin(2*v)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("2*pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2*pi");
break;
case "Gray's Surface":
x = ExpressionParser.Parse("(3+cos(3*u/2)*sin(v)-sin(3*u/2)*sin(2*v))*cos(u/2)");
y = ExpressionParser.Parse("(3+cos(3*u/2)*sin(v)-sin(3*u/2)*sin(2*v))*sin(u/2)");
z = ExpressionParser.Parse("sin(3*u/2)*sin(v)+cos(3*u/2)*sin(2*v)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("4*pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Knot":
x = ExpressionParser.Parse("3*sin(3*u)/2+cos(v)))");
y = ExpressionParser.Parse("3*(sin(u)+2*sin(2*u))/(2+cos(v+pi*2/3))");
z = ExpressionParser.Parse("3/2*(cos(u)-2*cos(2*u))*(2+cos(v))*(2+cos(v+pi*2/3))/4");
umin = ExpressionParser.Parse("-pi");
umax = ExpressionParser.Parse("2pi");
vmin = ExpressionParser.Parse("-pi");
vmax = ExpressionParser.Parse("2pi");
break;
case "Mobius":
x = ExpressionParser.Parse("(5+u*cos(0.5*v))*cos(v)");
y = ExpressionParser.Parse("(5+u*cos(0.5*v))*sin(v)");
z = ExpressionParser.Parse("u*sin(0.5*v)");
umin = ExpressionParser.Parse("-1");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2*pi");
break;
case "Radial Wave":
x = ExpressionParser.Parse("u");
y = ExpressionParser.Parse("v");
z = ExpressionParser.Parse("cos((u^2+v^2)^0.5)");
umin = ExpressionParser.Parse("-10");
umax = ExpressionParser.Parse("10");
vmin = ExpressionParser.Parse("-10");
vmax = ExpressionParser.Parse("10");
break;
case "Torus":
x = ExpressionParser.Parse("(5+cos(v))*cos(u)");
y = ExpressionParser.Parse("(5+cos(v))*sin(u)");
z = ExpressionParser.Parse("sin(v)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("2pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
//R3->R3
case "Cone":
x = ExpressionParser.Parse("ucos(v)w");
y = ExpressionParser.Parse("usin(v)w");
z = ExpressionParser.Parse("w");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("1");
break;
case "Cube":
x = ExpressionParser.Parse("u");
y = ExpressionParser.Parse("v");
z = ExpressionParser.Parse("w");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("1");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("1");
break;
case "Cylinder":
x = ExpressionParser.Parse("ucos(v)");
y = ExpressionParser.Parse("usin(v)");
z = ExpressionParser.Parse("w");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("1");
break;
case "Sphere":
x = ExpressionParser.Parse("ucos(v)sin(w)");
y = ExpressionParser.Parse("usin(v)sin(w)");
z = ExpressionParser.Parse("ucos(w)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("2pi");
break;
case "Tetrahedron":
x = ExpressionParser.Parse("u(1-v)");
y = ExpressionParser.Parse("uv(1-w)");
z = ExpressionParser.Parse("uvw");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("1");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("1");
break;
}
expressionSet.AddExpression(ExpressionSet.ExpOptions.X, x);
expressionSet.AddExpression(ExpressionSet.ExpOptions.Y, y);
expressionSet.AddExpression(ExpressionSet.ExpOptions.Z, z);
expressionSet.AddRange("t", tmin, tmax);
expressionSet.AddRange("u", umin, umax);
expressionSet.AddRange("v", vmin, vmax);
expressionSet.AddRange("w", wmin, wmax);
calcManager.PresetPressed();
}
protected void HandleInput(string source)
{
List <string> x;
List <string> y;
List <string> z;
List <string> umin = ExpressionParser.Parse("");
List <string> umax = ExpressionParser.Parse("");
List <string> tmin = ExpressionParser.Parse("");
List <string> tmax = ExpressionParser.Parse("");
List <string> vmin = ExpressionParser.Parse("");
List <string> vmax = ExpressionParser.Parse("");
List <string> wmin = ExpressionParser.Parse("");
List <string> wmax = ExpressionParser.Parse("");
ExpressionSet expressionSet = calcManager.expressionSet;
switch (source)
{
default:
x = ExpressionParser.Parse("0");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("0");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("0");
print("unknown preset pressed");
break;
//R1 -> R1
case "Cinquefoil Knot":
x = ExpressionParser.Parse("cos(t)*(2-cos(2*t/5))");
y = ExpressionParser.Parse("sin(t)*(2-cos(2*t/5))");
z = ExpressionParser.Parse("-sin(2*t/5)");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("10*pi");
break;
case "Circle":
x = ExpressionParser.Parse("cos(t)");
y = ExpressionParser.Parse("sin(t)");
z = ExpressionParser.Parse("0");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("2pi");
break;
case "Sphere Outline":
x = ExpressionParser.Parse("sin(t)*cos(32*t)");
y = ExpressionParser.Parse("sin(t)*sin(32*t)");
z = ExpressionParser.Parse("cos(t)");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("pi");
break;
case "Hypocloid":
x = ExpressionParser.Parse("cos(t)^3");
y = ExpressionParser.Parse("sin(t)^3");
z = ExpressionParser.Parse("0");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("4pi");
break;
case "Hypocloid Surface":
x = ExpressionParser.Parse("10*cos(t*32)^3");
y = ExpressionParser.Parse("10*sin(t*32)^3");
z = ExpressionParser.Parse("t-2*pi");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("4pi");
break;
case "Trefoil Knot":
x = ExpressionParser.Parse("sin(t)+2*sin(2*t)");
y = ExpressionParser.Parse("cos(t)-2*cos(2*t)");
z = ExpressionParser.Parse("-sin(3*t)");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("2*pi");
break;
case "Turnip":
x = ExpressionParser.Parse("(sin(t/16)^2)*cos(8*t)*8*pi");
y = ExpressionParser.Parse("(sin(t/16))^2*sin(8*t)*8*pi");
z = ExpressionParser.Parse("8*pi-t");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("16pi");
break;
case "Wavy Surface":
x = ExpressionParser.Parse("(sin(t/2)^(1/2)*cos(256*t)*pi)");
y = ExpressionParser.Parse("(sin(t/2))^(1/2)*sin(64*t)*pi");
z = ExpressionParser.Parse("pi-t");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("2pi");
break;
case "High-res Sphere":
x = ExpressionParser.Parse("sin(t)*cos(1024*t)");
y = ExpressionParser.Parse("sin(t)*sin(1024*t)");
z = ExpressionParser.Parse("cos(t)");
tmin = ExpressionParser.Parse("0");
tmax = ExpressionParser.Parse("pi");
break;
//R2->R3
case "Astroidal Ellipse":
x = ExpressionParser.Parse("(2*cos(u)*cos(v))^3");
y = ExpressionParser.Parse("(2*sin(u)*cos(v))^3");
z = ExpressionParser.Parse("(2*sin(v))^3");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2*pi");
break;
case "Bumpy Sphere":
x = ExpressionParser.Parse("5*sin(u)*sin(v)+cos(30*v)*0.15");
y = ExpressionParser.Parse("5*cos(u)*sin(v)+cos(30*u)*0.15");
z = ExpressionParser.Parse("5*cos(v)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("2*pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("pi");
break;
case "Dini's Surface":
x = ExpressionParser.Parse("3*cos(u)*sin(v)");
y = ExpressionParser.Parse("3*sin(u)*sin(v)");
z = ExpressionParser.Parse("3*(cos(v)+log(tan(0.5*v)))+0.4*u");
umin = ExpressionParser.Parse("-4*pi");
umax = ExpressionParser.Parse("4*pi");
vmin = ExpressionParser.Parse("0.005");
vmax = ExpressionParser.Parse("3.135");
break;
case "Figure-8":
x = ExpressionParser.Parse("(3+cos(u/2)*sin(v)-sin(u/2)*sin(2*v))*cos(u)");
y = ExpressionParser.Parse("(3+cos(u/2)*sin(v)-sin(u/2)*sin(2*v))*sin(u)");
z = ExpressionParser.Parse("sin(u/2)*sin(v)-cos(u/2)*sin(2*v)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("2*pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2*pi");
break;
case "Gray's Surface":
x = ExpressionParser.Parse("(3+cos(3*u/2)*sin(v)-sin(3*u/2)*sin(2*v))*cos(u/2)");
y = ExpressionParser.Parse("(3+cos(3*u/2)*sin(v)-sin(3*u/2)*sin(2*v))*sin(u/2)");
z = ExpressionParser.Parse("sin(3*u/2)*sin(v)+cos(3*u/2)*sin(2*v)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("4*pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Knot":
x = ExpressionParser.Parse("3*sin(3*u)/2+cos(v)))");
y = ExpressionParser.Parse("3*(sin(u)+2*sin(2*u))/(2+cos(v+pi*2/3))");
z = ExpressionParser.Parse("3/2*(cos(u)-2*cos(2*u))*(2+cos(v))*(2+cos(v+pi*2/3))/4");
umin = ExpressionParser.Parse("-pi");
umax = ExpressionParser.Parse("2pi");
vmin = ExpressionParser.Parse("-pi");
vmax = ExpressionParser.Parse("2pi");
break;
case "Mobius":
x = ExpressionParser.Parse("(5+u*cos(0.5*v))*cos(v)");
y = ExpressionParser.Parse("(5+u*cos(0.5*v))*sin(v)");
z = ExpressionParser.Parse("u*sin(0.5*v)");
umin = ExpressionParser.Parse("-1");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2*pi");
break;
case "Radial Wave":
x = ExpressionParser.Parse("u");
y = ExpressionParser.Parse("v");
z = ExpressionParser.Parse("cos((u^2+v^2)^0.5)");
umin = ExpressionParser.Parse("-10");
umax = ExpressionParser.Parse("10");
vmin = ExpressionParser.Parse("-10");
vmax = ExpressionParser.Parse("10");
break;
case "Torus":
x = ExpressionParser.Parse("(5+cos(v))*cos(u)");
y = ExpressionParser.Parse("(5+cos(v))*sin(u)");
z = ExpressionParser.Parse("sin(v)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("2pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
//R3->R3
case "Cone":
x = ExpressionParser.Parse("ucos(v)w");
y = ExpressionParser.Parse("usin(v)w");
z = ExpressionParser.Parse("w");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("1");
break;
case "Cube":
x = ExpressionParser.Parse("u");
y = ExpressionParser.Parse("v");
z = ExpressionParser.Parse("w");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("1");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("1");
break;
case "Cylinder":
x = ExpressionParser.Parse("ucos(v)");
y = ExpressionParser.Parse("usin(v)");
z = ExpressionParser.Parse("w");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("1");
break;
case "Sphere":
x = ExpressionParser.Parse("ucos(v)sin(w)");
y = ExpressionParser.Parse("usin(v)sin(w)");
z = ExpressionParser.Parse("ucos(w)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("2pi");
break;
case "Tetrahedron":
x = ExpressionParser.Parse("u(1-v)");
y = ExpressionParser.Parse("uv(1-w)");
z = ExpressionParser.Parse("uvw");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("1");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("1");
wmin = ExpressionParser.Parse("0");
wmax = ExpressionParser.Parse("1");
break;
// Orbitals
case "S":
x = ExpressionParser.Parse("(1/2*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(1/2*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(1/2*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Px":
x = ExpressionParser.Parse("(3^(1/2)/2*sin(u)*1/pi^(1/2)*sin(v))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(3^(1/2)/2*sin(u)*1/pi^(1/2)*sin(v))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(3^(1/2)/2*sin(u)*1/pi^(1/2)*sin(v))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Py":
x = ExpressionParser.Parse("(3^(1/2)/2*sin(u)*1/pi^(1/2)*cos(v))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(3^(1/2)/2*sin(u)*1/pi^(1/2)*cos(v))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(3^(1/2)/2*sin(u)*1/pi^(1/2)*cos(v))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Pz":
x = ExpressionParser.Parse("(3^(1/2)/2*cos(u)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(3^(1/2)/2*cos(u)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(3^(1/2)/2*cos(u)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Dz\x00B2":
goto case "Dz2";
case "Dz2":
x = ExpressionParser.Parse("(5^(1/2)/4*(3*((cos(u))^2)-1)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(5^(1/2)/4*(3*((cos(u))^2)-1)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(5^(1/2)/4*(3*((cos(u))^2)-1)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Dxz":
x = ExpressionParser.Parse("(15^(1/2)/2*sin(u)*cos(u)*1/pi^(1/2)*sin(v))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(15^(1/2)/2*sin(u)*cos(u)*1/pi^(1/2)*sin(v))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(15^(1/2)/2*sin(u)*cos(u)*1/pi^(1/2)*sin(v))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Dyz":
x = ExpressionParser.Parse("(15^(1/2)/2*sin(u)*cos(u)*1/pi^(1/2)*cos(v))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(15^(1/2)/2*sin(u)*cos(u)*1/pi^(1/2)*cos(v))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(15^(1/2)/2*sin(u)*cos(u)*1/pi^(1/2)*cos(v))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Dxy":
x = ExpressionParser.Parse("(15^(1/2)/4*sin(u)^2*1/pi^(1/2)*sin(2v))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(15^(1/2)/4*sin(u)^2*1/pi^(1/2)*sin(2v))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(15^(1/2)/4*sin(u)^2*1/pi^(1/2)*sin(2v))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Dx\x00B2-y\x00B2":
goto case "Dx2-y2";
case "Dx2-y2":
x = ExpressionParser.Parse("(15^(1/2)/4*sin(u)^2*1/pi^(1/2)*cos(2v))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(15^(1/2)/4*sin(u)^2*1/pi^(1/2)*cos(2v))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(15^(1/2)/4*sin(u)^2*1/pi^(1/2)*cos(2v))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fz\x00B3":
goto case "Fz3";
case "Fz3":
x = ExpressionParser.Parse("(7^(1/2)/4*(5*((cos(u))^2)-3)*cos(u)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(7^(1/2)/4*(5*((cos(u))^2)-3)*cos(u)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(7^(1/2)/4*(5*((cos(u))^2)-3)*cos(u)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fxz\x00B2":
goto case "Fxz2";
case "Fxz2":
x = ExpressionParser.Parse("(42^(1/2)/8*(5*((cos(u))^2)-1)*sin(u)*sin(v)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(42^(1/2)/8*(5*((cos(u))^2)-1)*sin(u)*sin(v)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(42^(1/2)/8*(5*((cos(u))^2)-1)*sin(u)*sin(v)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fyz\x00B2":
goto case "Fyz2";
case "Fyz2":
x = ExpressionParser.Parse("(42^(1/2)/8*(5*((cos(u))^2)-1)*sin(u)*cos(v)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(42^(1/2)/8*(5*((cos(u))^2)-1)*sin(u)*cos(v)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(42^(1/2)/8*(5*((cos(u))^2)-1)*sin(u)*cos(v)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fxyz":
x = ExpressionParser.Parse("(105^(1/2)/4*sin(u)^2*cos(u)*cos(2v)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(105^(1/2)/4*sin(u)^2*cos(u)*cos(2v)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(105^(1/2)/4*sin(u)^2*cos(u)*cos(2v)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fz\x0028x\x00B2-y\x00B2\x0029":
goto case "Fzx2y2";
case "Fzx2y2":
x = ExpressionParser.Parse("(105^(1/2)/4*sin(u)^2*cos(u)*sin(2v)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(105^(1/2)/4*sin(u)^2*cos(u)*sin(2v)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(105^(1/2)/4*sin(u)^2*cos(u)*sin(2v)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fx\x0028x\x00B2-3y\x00B2\x0029":
goto case "Fxx23y2";
case "Fxx23y2":
x = ExpressionParser.Parse("(70^(1/2)/8*sin(u)^3*sin(3v)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(70^(1/2)/8*sin(u)^3*sin(3v)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(70^(1/2)/8*sin(u)^3*sin(3v)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
case "Fy\x00283x\x00B2-y\x00B2\x0029":
goto case "Fy3x2y2";
case "Fy3x2y2":
x = ExpressionParser.Parse("(70^(1/2)/8*sin(u)^3*cos(3v)*1/pi^(1/2))^2*sin(u)*cos(v)");
y = ExpressionParser.Parse("(70^(1/2)/8*sin(u)^3*cos(3v)*1/pi^(1/2))^2*sin(u)*sin(v)");
z = ExpressionParser.Parse("(70^(1/2)/8*sin(u)^3*cos(3v)*1/pi^(1/2))^2*cos(u)");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("pi");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("2pi");
break;
}
expressionSet.AddExpression("X", x);
expressionSet.AddExpression("Y", y);
expressionSet.AddExpression("Z", z);
expressionSet.AddRange("t", tmin, tmax);
expressionSet.AddRange("u", umin, umax);
expressionSet.AddRange("v", vmin, vmax);
expressionSet.AddRange("w", wmin, wmax);
calcManager.PresetPressed();
}
protected void HandleInput(string source)
{
List <string> x;
List <string> y;
List <string> z;
List <string> umin = ExpressionParser.Parse("");
List <string> umax = ExpressionParser.Parse("");
List <string> tmin = ExpressionParser.Parse("");
List <string> tmax = ExpressionParser.Parse("");
List <string> vmin = ExpressionParser.Parse("");
List <string> vmax = ExpressionParser.Parse("");
List <string> wmin = ExpressionParser.Parse("");
List <string> wmax = ExpressionParser.Parse("");
ExpressionSet expressionSet = densManager.es;
switch (source)
{
default:
x = ExpressionParser.Parse("0");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
umin = ExpressionParser.Parse("0");
umax = ExpressionParser.Parse("0");
vmin = ExpressionParser.Parse("0");
vmax = ExpressionParser.Parse("0");
print("unknown preset pressed");
break;
// Orbitals
case "1S":
x = ExpressionParser.Parse("(1.772454*e^(-1*(x^2+y^2+z^2)^(1/2)))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(3);
densManager.setSleepInterval(126);
break;
case "2S":
x = ExpressionParser.Parse("(0.099735*(2-(x^2+y^2+z^2)^(1/2))*e^(-1*((x^2+y^2+z^2)^(1/2))/2))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(10);
densManager.setSleepInterval(63);
break;
case "2Pz":
x = ExpressionParser.Parse("(0.099735*z*e^(-1*((x^2+y^2+z^2)^(1/2))/2))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(12);
densManager.setSleepInterval(63);
break;
case "3S":
x = ExpressionParser.Parse("(0.004021*(27-18*(x^2+y^2+z^2)^(1/2)+2*(x^2+y^2+z^2))*e^(-1*((x^2+y^2+z^2)^(1/2))/3))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(20);
densManager.setSleepInterval(42);
break;
case "3Pz":
x = ExpressionParser.Parse("(0.004925*(6-(x^2+y^2+z^2)^(1/2))*z*e^(-1*((x^2+y^2+z^2)^(1/2))/3))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(22);
densManager.setSleepInterval(63);
break;
case "3Dz\x00B2":
goto case "3Dz2";
case "3Dz2":
x = ExpressionParser.Parse("(0.002844*(3*z^2-(x^2+y^2+z^2))*e^(-1*((x^2+y^2+z^2)^(1/2))/3))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(24);
densManager.setSleepInterval(63);
break;
case "3Dxy":
x = ExpressionParser.Parse("(0.009850*x*y*e^(-1*((x^2+y^2+z^2)^(1/2))/3))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(24);
densManager.setSleepInterval(63);
break;
case "4S":
x = ExpressionParser.Parse("(0.006965*(1-0.75*(x^2+y^2+z^2)^(1/2)+0.125*(x^2+y^2+z^2)-0.005208*(x^2+y^2+z^2)^(3/2))*e^(-1*((x^2+y^2+z^2)^(1/2))/4))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(30);
densManager.setSleepInterval(42);
break;
case "4Pz":
x = ExpressionParser.Parse("(0.039424*(1-0.25*(x^2+y^2+z^2)^(1/2)+0.0125*(x^2+y^2+z^2))*z*e^(-1*((x^2+y^2+z^2)^(1/2))/4))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(34);
densManager.setSleepInterval(42);
break;
case "4Dz\x00B2":
goto case "4Dz2";
case "4Dz2":
x = ExpressionParser.Parse("(0.002204*(3*z^2-0.25*z^2*(x^2+y^2+z^2)^(1/2)-(x^2+y^2+z^2)+0.083333*(x^2+y^2+z^2)^(3/2))*e^(-1*((x^2+y^2+z^2)^(1/2))/4))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(40);
densManager.setSleepInterval(21);
break;
case "4Dxy":
x = ExpressionParser.Parse("(0.003817*x*y*(1-0.083333*(x^2+y^2+z^2)^(1/2))*e^(-1*((x^2+y^2+z^2)^(1/2))/4))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(40);
densManager.setSleepInterval(42);
break;
case "4Fz\x00B3":
goto case "4Fz3";
case "4Fz3":
x = ExpressionParser.Parse("(0.000082*z*(5*z^2-3*(x^2+y^2+z^2))*e^(-1*((x^2+y^2+z^2)^(1/2))/4))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(40);
densManager.setSleepInterval(63);
break;
case "4Fxz\x00B2":
goto case "4Fxz2";
case "4Fxz2":
x = ExpressionParser.Parse("(0.000101*x*(5*z^2-(x^2+y^2+z^2))*e^(-1*((x^2+y^2+z^2)^(1/2))/4))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(40);
densManager.setSleepInterval(63);
break;
case "4Fxyz":
x = ExpressionParser.Parse("(0.000636*x*y*z*e^(-1*((x^2+y^2+z^2)^(1/2))/4))^2");
y = ExpressionParser.Parse("0");
z = ExpressionParser.Parse("0");
densManager.setRange(40);
densManager.setSleepInterval(63);
break;
}
expressionSet.AddExpression("X", x);
expressionSet.AddExpression("Y", y);
expressionSet.AddExpression("Z", z);
expressionSet.AddRange("t", tmin, tmax);
expressionSet.AddRange("u", umin, umax);
expressionSet.AddRange("v", vmin, vmax);
expressionSet.AddRange("w", wmin, wmax);
densManager.PresetPressed();
}
