/// <summary>
/// constructor accepts quantities and qs functions also
/// </summary>
/// <param name="x"></param>
/// <param name="y"></param>
/// <param name="radius"></param>
public Circle(QsScalar x, QsScalar y, QsScalar radius)
{
if (x.ScalarType == ScalarTypes.FunctionQuantity)
{
xfunc = x.FunctionQuantity.Value;
}
else
{
_x = x.NumericalQuantity;
}
if (y.ScalarType == ScalarTypes.FunctionQuantity)
{
yfunc = y.FunctionQuantity.Value;
}
else
{
_y = y.NumericalQuantity;
}
if (radius.ScalarType == ScalarTypes.FunctionQuantity)
{
radfunc = radius.FunctionQuantity.Value;
}
else
{
_radius = radius.NumericalQuantity;
}
}
/// <summary>
/// Returns Quantity of the symbolic variable based on the unit
/// </summary>
/// <param name="sv"></param>
/// <param name="unit"></param>
/// <returns></returns>
public static AnyQuantity <SymbolicVariable> ToQuantity(this SymbolicVariable sv, string unit = "1")
{
Unit sunit = Unit.Parse(unit);
AnyQuantity <SymbolicVariable> SymbolicQuantity = sunit.GetThisUnitQuantity <SymbolicVariable>(sv);
return(SymbolicQuantity);
}
/// <summary>
/// Wrap Complex Quantity into Scalar.
/// </summary>
/// <param name="qty"></param>
/// <returns></returns>
public static QsScalar ToScalar(this AnyQuantity <Complex> qty)
{
return(new QsScalar(ScalarTypes.ComplexNumberQuantity)
{
ComplexQuantity = qty
});
}
public static bool TryParseQuantity(string quantity, out AnyQuantity <double> qty)
{
double val;
Match um = UnitizedNumberRegex.Match(quantity.Trim());
if (um.Success)
{
string varUnit = um.Groups["unit"].Value;
val = double.Parse(um.Groups["num"].Value, CultureInfo.InvariantCulture);
Unit un = Unit.Parse(varUnit);
qty = un.GetThisUnitQuantity <double>(val);
return(true);
}
else if (double.TryParse(quantity, NumberStyles.Any, CultureInfo.InvariantCulture, out val))
{
qty = Unit.DiscoverUnit(QuantityDimension.Dimensionless).GetThisUnitQuantity <double>(val);
return(true);
}
else
{
qty = default(AnyQuantity <double>);
return(false);
}
}
/// <summary>
/// Wrap Complex Quantity into Scalar.
/// </summary>
/// <param name="qty"></param>
/// <returns></returns>
public static QsScalar ToScalar(this AnyQuantity <Rational> qty)
{
return(new QsScalar(ScalarTypes.RationalNumberQuantity)
{
RationalQuantity = qty
});
}
/// <summary>
/// Return a scalar object from quaternion quantity.
/// </summary>
/// <param name="qty"></param>
/// <returns></returns>
public static QsScalar ToScalar(this AnyQuantity <Quaternion> qty)
{
return(new QsScalar(ScalarTypes.QuaternionNumberQuantity)
{
QuaternionQuantity = qty
});
}
/// <summary>
/// Returns a quantity from function
/// </summary>
/// <param name="fn"></param>
/// <param name="unit"></param>
/// <returns></returns>
public static AnyQuantity <QsFunction> ToQuantity(this QsFunction fn, string unit = "1")
{
Unit sunit = Unit.Parse(unit);
AnyQuantity <QsFunction> FunctionQuantity = sunit.GetThisUnitQuantity <QsFunction>(fn);
return(FunctionQuantity);
}
public Circle(AnyQuantity <double> x, AnyQuantity <double> y, AnyQuantity <double> radius)
{
_x = x;
_y = y;
_radius = radius;
var t = new System.Timers.Timer();
}
/// <summary>
/// Wrap AnyQuantity of Symbolic Variable object into qs scalar object.
/// </summary>
/// <param name="qty"></param>
/// <returns></returns>
public static QsScalar ToScalar(this AnyQuantity <SymbolicVariable> qty)
{
QsScalar symscalar = new QsScalar(ScalarTypes.SymbolicQuantity)
{
SymbolicQuantity = qty
};
return(symscalar);
}
/// <summary>
/// Returns a scalar object from function quantity.
/// </summary>
/// <param name="functionQuantity"></param>
/// <returns></returns>
public static QsScalar ToScalar(this AnyQuantity <QsFunction> functionQuantity)
{
QsScalar fnScalar = new QsScalar(ScalarTypes.FunctionQuantity)
{
FunctionQuantity = functionQuantity
};
return(fnScalar);
}
public static QsVector Func(QsFunction f, DimensionlessQuantity <double> from, DimensionlessQuantity <double> to)
{
var increment = (to - from) / (40).ToQuantity();
QsVector v = new QsVector(40);
for (AnyQuantity <double> dt = from; dt <= to; dt += increment)
{
v.AddComponent(f.Invoke(dt).ToScalar());
}
return(v);
}
/// <summary>
/// Draw a circle on the screen.
/// </summary>
/// <param name="x"></param>
/// <param name="y"></param>
/// <param name="radius"></param>
public Shape BareCircle(AnyQuantity <double> x, AnyQuantity <double> y, AnyQuantity <double> radius)
{
Shape s;
lock (Shapes)
{
s = new Circle(x, y, radius);
Shapes.Add(s);
}
return(s);
}
/// <summary>
/// Returns quantity based on current unit instance.
/// </summary>
/// <typeparam name="T">Quatntity Storage Type</typeparam>
/// <param name="value"></param>
/// <returns></returns>
internal AnyQuantity <T> MakeQuantity <T>(T value)
{
//create the corresponding quantity
AnyQuantity <T> qty = this.GetThisUnitQuantity <T>();
//assign the unit to the created quantity
qty.Unit = this;
//assign the value to the quantity
qty.Value = value;
return(qty);
}
public static AnyQuantity <double> GetUnitizedQuantityOf <TQuantity>(double value) where TQuantity : BaseQuantity, new()
{
MetricUnit unit = UnitOf <TQuantity>();
AnyQuantity <double> aq = unit.GetThisUnitQuantity <double>();
aq.Value = value;
return(aq);
}
private static AnyQuantity <double> MakeQuantity(MetricUnit unit, MetricPrefix siPrefix, double value)
{
//assign its prefix
unit.UnitPrefix = siPrefix;
//create the corresponding quantity
AnyQuantity <double> qty = unit.GetThisUnitQuantity <double>();
//assign the unit to the created quantity
qty.Unit = unit;
//assign the value to the quantity
qty.Value = value;
return(qty);
}
private void button1_Click(object sender, EventArgs e)
{
//equation of friction head is
// h = f * l/d * v^2/2g
//where f in laminar is 64/reynolds
// in turbulent from moody chart.
AnyQuantity rn = CalcReynolds();
AnyQuantity head = CalcHead();
lblReynolds.Text = rn.ToString();
lblHead.Text = head.ToString();
}
public static QsValue FromName(QsParameter name, QsParameter value)
{
string ss = name.ParameterRawText;
if (name.QsNativeValue is QsText)
{
ss = ((QsText)name.QsNativeValue).Text;
}
var qval = AnyQuantity <double> .Parse(ss);
qval.Unit = Unit.DiscoverUnit(qval);
qval.Value = double.Parse(value.ParameterRawText, CultureInfo.InvariantCulture);
var qs = new QsScalar(ScalarTypes.NumericalQuantity)
{
NumericalQuantity = qval
};
return(qs);
}
/// <summary>
/// Invert the derived quantity by inverting every inner quantity in its internal quantities.
/// </summary>
/// <returns></returns>
public override BaseQuantity Invert()
{
List <AnyQuantity <T> > lq = new List <AnyQuantity <T> >();
foreach (AnyQuantity <T> qty in InternalQuantities)
{
lq.Add((AnyQuantity <T>)qty.Invert());
}
DerivedQuantity <T> dq = (DerivedQuantity <T>) this.Clone();
dq.SetInternalQuantities(lq.ToArray());
dq.Value = AnyQuantity <T> .DivideScalarByGeneric(1.0, dq.Value);
if (this.Unit != null)
{
dq.Unit = this.Unit.Invert();
}
return(dq);
}
/// <summary>
/// Cache all quantities with their Dimensions.
/// </summary>
static QuantityDimension()
{
Assembly CurrentAssembly = Assembly.GetExecutingAssembly();
Type[] types = CurrentAssembly.GetTypes();
var QuantityTypes = from QuantityType in types
where QuantityType.IsSubclassOf(typeof(BaseQuantity))
select QuantityType;
CurrentQuantityTypes.AddRange(QuantityTypes);
//storing the quantity types with thier dimensions
foreach (Type QuantityType in CurrentQuantityTypes)
{
//cach the quantities that is not abstract types
if (QuantityType.IsAbstract == false && QuantityType != typeof(DerivedQuantity <>))
{
//make sure not to include Dimensionless quantities due to they are F0L0T0
if (QuantityType.BaseType.Name != typeof(DimensionlessQuantity <>).Name)
{
//store dimension as key and Quantity Type .
//create AnyQuantity<Object> Object container used just for instantiation
AnyQuantity <Object> Quantity = (AnyQuantity <Object>)Activator.CreateInstance(QuantityType.MakeGenericType(typeof(object)));
//store the Dimension and the corresponding Type;
CurrentQuantitiesDictionary.Add(Quantity.Dimension, QuantityType);
//store quantity type as key and corresponding dimension as value.
CurrentDimensionsDictionary.Add(QuantityType, Quantity.Dimension);
//store the quantity name and type with insensitive names
CurrentQuantitiesNamesDictionary.Add(QuantityType.Name.Substring(0, QuantityType.Name.Length - 2), QuantityType);
}
}
}
}
/// <summary>
/// Get the factorial of quantity
/// </summary>
/// <param name="number"></param>
/// <returns></returns>
public static AnyQuantity <double> QuantityFactorial(AnyQuantity <double> number)
{
int v = (int)number.Value;
//if (v > 170) throw new ArgumentOutOfRangeException("Number", number, "Number is greater than 170");
if (v < 0)
{
throw new ArgumentOutOfRangeException("Number", "Number is less than 0");
}
AnyQuantity <double> num = (AnyQuantity <double>)number.Clone();
num.Value = System.Math.Floor(num.Value);
double Total = num.Value == 0 ? 1 : num.Value;
//I am calculating the value part first for fast calculation
for (int i = v; i > 1; i--)
{
num.Value--;
Total = Total * num.Value;
}
// Raise the power of the unit.
// I think 3.5<kg>! = 11.631728<kg^3> is wrong and of course not <kg^4> but it is <kg^3.5>
QuantitySystem.Units.Unit TotalUnit = num.Unit.RaiseUnitPower((float)number.Value);
// if we have fraction correct the calculation with Gamma Factorial.
if (number.Value > v)
{
Total = GammaFactorial(number.Value);
}
AnyQuantity <double> TotalQuantity = TotalUnit.GetThisUnitQuantity <double>(Total);
return(TotalQuantity);
}
/// <summary>
/// Gets the quantity of this unit based on the desired container.
/// <see cref="QuantityType"/>
/// </summary>
/// <typeparam name="T"></typeparam>
/// <returns></returns>
public AnyQuantity <T> GetThisUnitQuantity <T>()
{
AnyQuantity <T> Quantity = null;
Type qt = QuantityType.MakeGenericType(typeof(T));
object j;
if (Qcach.TryGetValue(qt, out j))
{
Quantity = (AnyQuantity <T>)((AnyQuantity <T>)j).Clone(); //optimization for created quantities before
}
else
{
Quantity = (AnyQuantity <T>)Activator.CreateInstance(QuantityType.MakeGenericType(typeof(T)));
Qcach.Add(qt, Quantity);
}
Quantity.Unit = this;
return(Quantity);
}
public AnyQuantity <T> GetThisUnitQuantity <T>(T value)
{
AnyQuantity <T> Quantity = null;
if (QuantityType != typeof(DerivedQuantity <>) && QuantityType != null)
{
Type qt = QuantityType.MakeGenericType(typeof(T));
object j;
if (Qcach.TryGetValue(qt, out j))
{
Quantity = (AnyQuantity <T>)((AnyQuantity <T>)j).Clone(); //optimization for created quantities before
}
else
{
Quantity = (AnyQuantity <T>)Activator.CreateInstance(qt);
Qcach.Add(qt, Quantity);
}
}
else
{
//create it from the unit dimension
Quantity = new DerivedQuantity <T>(UnitDimension);
}
Quantity.Unit = this;
Quantity.Value = value;
if (this.IsOverflowed)
{
Quantity.Value =
AnyQuantity <T> .MultiplyScalarByGeneric(this.GetUnitOverflow(), value);
}
return(Quantity);
}
/// <summary>
/// Force to return integer value from <see cref="AnyQuantity<double>"/>
/// used mainly for calculated indexes for sequences.
/// </summary>
/// <param name="val"></param>
/// <returns></returns>
public static int IntegerFromQuantity(AnyQuantity <double> val)
{
Debug.Assert(val is QuantitySystem.Quantities.DimensionlessQuantities.DimensionlessQuantity <double>);
return((int)val.Value);
}
public static AnyQuantity <double> Square(AnyQuantity <double> x)
{
return(x * x);
}
public static QsValue Log(QsParameter val, QsParameter newBase)
{
if (val.IsQsValue)
{
if (val.ParameterValue is QsScalar)
{
AnyQuantity <double> q = ((QsScalar)val.ParameterValue).NumericalQuantity;
if (q.Dimension.IsDimensionless)
{
double r = System.Math.Log(q.Value, ((QsScalar)newBase.ParameterValue).NumericalQuantity.Value);
return(r.ToQuantity().ToScalarValue());
}
else
{
throw new QsInvalidInputException("Non dimensionless number");
}
}
else if (val.ParameterValue is QsVector)
{
QsVector vec = (QsVector)val.ParameterValue;
QsVector rv = new QsVector(vec.Count);
foreach (QsScalar var in vec)
{
if (var.NumericalQuantity.Dimension.IsDimensionless)
{
double r = System.Math.Log(var.NumericalQuantity.Value, ((QsScalar)newBase.ParameterValue).NumericalQuantity.Value);
rv.AddComponent(r.ToQuantity().ToScalar());
}
else
{
throw new QsInvalidInputException("Non dimensionless component");
}
}
return(rv);
}
else if (val.ParameterValue is QsMatrix)
{
QsMatrix mat = (QsMatrix)val.ParameterValue;
QsMatrix rm = new QsMatrix();
foreach (var vec in mat.Rows)
{
rm.AddVector((QsVector)Log(QsParameter.MakeParameter(vec, string.Empty)));
}
return(rm);
}
else
{
return(null);
}
}
else
{
//not known may be ordinary string
return(null);
}
}
/// <summary>
/// Get factorial for the <see>QsValue</see> whether it is Scalar, Vector, Matrix, and later Tensor.
/// </summary>
/// <param name="value"></param>
/// <returns></returns>
public static QsValue Factorial(QsValue value)
{
if (value is QsBoolean)
{
var b = (QsBoolean)value;
return(new QsBoolean {
Value = !b.Value
});
}
if (value is QsScalar)
{
QsScalar sv = (QsScalar)value;
if (sv.ScalarType == ScalarTypes.NumericalQuantity)
{
AnyQuantity <double> number = sv.NumericalQuantity;
return(new QsScalar {
NumericalQuantity = QuantityFactorial(number)
});
}
else
{
throw new QsException("Unsupported scalar object");
}
}
else if (value is QsVector)
{
var vec = value as QsVector;
QsVector rvec = new QsVector(vec.Count);
foreach (var v in vec)
{
rvec.AddComponent((QsScalar)Factorial(v));
}
return(rvec);
}
else if (value is QsMatrix)
{
var mat = value as QsMatrix;
QsMatrix Total = new QsMatrix();
for (int IY = 0; IY < mat.RowsCount; IY++)
{
List <QsScalar> row = new List <QsScalar>(mat.ColumnsCount);
for (int IX = 0; IX < mat.ColumnsCount; IX++)
{
row.Add((QsScalar)Factorial(mat[IY, IX]));
}
Total.AddRow(row.ToArray());
}
return(Total);
}
else
{
throw new NotSupportedException();
}
}
/// <summary>
/// Returns Quaternion Quantity from Complex Quantity.
/// </summary>
/// <param name="qty"></param>
/// <returns></returns>
public static AnyQuantity <Quaternion> ToQuaternion(this AnyQuantity <Complex> qty)
{
AnyQuantity <Quaternion> converted = qty.Unit.GetThisUnitQuantity <Quaternion>(qty.Value);
return(converted);
}
public static AnyQuantity <Rational> ToRational(this AnyQuantity <double> qty)
{
AnyQuantity <Rational> converted = qty.Unit.GetThisUnitQuantity <Rational>(new Rational((float)qty.Value, 1));
return(converted);
}
/// <summary>
/// Returns Complex quantity from Double Quantity
/// </summary>
/// <param name="qty"></param>
/// <returns></returns>
public static AnyQuantity <Complex> ToComplex(this AnyQuantity <double> qty)
{
AnyQuantity <Complex> converted = qty.Unit.GetThisUnitQuantity <Complex>(qty.Value);
return(converted);
}
public static QsValue ToScalarValue(this AnyQuantity <double> qty)
{
return(new QsScalar {
NumericalQuantity = qty
});
}