/**
* Computes (a+b)^2 in two different ways and compares the result.
* For correct results, a and b should be integers.
*
* @param a
* @param b
*/
private static void CheckBinomialSquare(double a, double b)
{
// binomial square
var add = new DD(a);
var bdd = new DD(b);
var aPlusb = add.Add(bdd);
var abSq = aPlusb.Multiply(aPlusb);
// System.out.println("(a+b)^2 = " + abSq);
// expansion
var a2DD = add.Multiply(add);
var b2DD = bdd.Multiply(bdd);
var ab = add.Multiply(bdd);
var sum = b2DD.Add(ab).Add(ab);
// System.out.println("2ab+b^2 = " + sum);
var diff = abSq.Subtract(a2DD);
// System.out.println("(a+b)^2 - a^2 = " + diff);
var delta = diff.Subtract(sum);
Console.WriteLine("\nA = " + a + ", B = " + b);
Console.WriteLine("[DD] 2ab+b^2 = " + sum
+ " (a+b)^2 - a^2 = " + diff
+ " delta = " + delta);
PrintBinomialSquareDouble(a, b);
var isSame = diff.Equals(sum);
Assert.IsTrue(isSame);
var isDeltaZero = delta.IsZero;
Assert.IsTrue(isDeltaZero);
}
private static void CheckBinomial2(double a, double b)
{
// binomial product
var add = new DD(a);
var bdd = new DD(b);
var aPlusb = add.Add(bdd);
var aSubb = add.Subtract(bdd);
var abProd = aPlusb.Multiply(aSubb);
// System.out.println("(a+b)^2 = " + abSq);
// expansion
var a2DD = add.Multiply(add);
var b2DD = bdd.Multiply(bdd);
// System.out.println("2ab+b^2 = " + sum);
// this should equal b^2
var diff = abProd.Subtract(a2DD).Negate();
// System.out.println("(a+b)^2 - a^2 = " + diff);
var delta = diff.Subtract(b2DD);
Console.WriteLine("\nA = " + a + ", B = " + b);
Console.WriteLine("[DD] (a+b)(a-b) = " + abProd
+ " -((a^2 - b^2) - a^2) = " + diff
+ " delta = " + delta);
// printBinomialSquareDouble(a,b);
var isSame = diff.Equals(b2DD);
Assert.IsTrue(isSame);
var isDeltaZero = delta.IsZero;
Assert.IsTrue(isDeltaZero);
}
private static void CheckAddMult2(DD dd)
{
DD sum = dd.Add(dd);
DD prod = dd.Multiply(new DD(2.0));
CheckErrorBound("AddMult2", sum, prod, 0.0);
}
public CStatTestFixture(int slotMax)
{
for (int i = 0; i < slotMax; i++)
{
SerialNo.Add("");
ResultName.Add("");
ResultId.Add(0);
Result.Add(0);
Value.Add("");
Volt.Add(0);
Cur.Add(0);
DD.Add("");
}
}
/// <summary>
/// Computes the arctangent based on the Taylor series expansion
/// <para/>
/// arctan(x) = x - x^3 / 3 + x^5 / 5 - x^7 / 7 + ...
/// </summary>
/// <param name="x">The argument</param>
/// <returns>An approximation to the arctangent of the input</returns>
private static DD ArcTan(DD x)
{
var t = x;
var t2 = t.Sqr();
var at = new DD(0.0);
var two = new DD(2.0);
var k = 0;
var d = new DD(1.0);
var sign = 1;
while (t.ToDoubleValue() > DD.Epsilon)
{
k++;
at = sign < 0 ? at.Subtract(t.Divide(d)) : at.Add(t.Divide(d));
d = d.Add(two);
t = t.Multiply(t2);
sign = -sign;
}
Console.WriteLine("Computed DD.atan(): " + at
+ " Math.atan = " + Math.Atan(x.ToDoubleValue()));
return(at);
}
/// <summary>
/// Computes the arctangent based on the Taylor series expansion
/// <para/>
/// arctan(x) = x - x^3 / 3 + x^5 / 5 - x^7 / 7 + ...
/// </summary>
/// <param name="x">The argument</param>
/// <returns>An approximation to the arctangent of the input</returns>
private static DD ArcTan(DD x)
{
var t = x;
var t2 = t.Sqr();
var at = new DD(0.0);
var two = new DD(2.0);
var k = 0;
var d = new DD(1.0);
var sign = 1;
while (t.ToDoubleValue() > DD.Epsilon)
{
k++;
at = sign < 0 ? at.Subtract(t.Divide(d)) : at.Add(t.Divide(d));
d = d.Add(two);
t = t.Multiply(t2);
sign = -sign;
}
Console.WriteLine("Computed DD.atan(): " + at
+ " Math.atan = " + Math.Atan(x.ToDoubleValue()));
return at;
}
private static void CheckBinomial2(double a, double b)
{
// binomial product
var add = new DD(a);
var bdd = new DD(b);
var aPlusb = add.Add(bdd);
var aSubb = add.Subtract(bdd);
var abProd = aPlusb.Multiply(aSubb);
// System.out.println("(a+b)^2 = " + abSq);
// expansion
var a2DD = add.Multiply(add);
var b2DD = bdd.Multiply(bdd);
// System.out.println("2ab+b^2 = " + sum);
// this should equal b^2
var diff = abProd.Subtract(a2DD).Negate();
// System.out.println("(a+b)^2 - a^2 = " + diff);
var delta = diff.Subtract(b2DD);
Console.WriteLine("\nA = " + a + ", B = " + b);
Console.WriteLine("[DD] (a+b)(a-b) = " + abProd
+ " -((a^2 - b^2) - a^2) = " + diff
+ " delta = " + delta);
// printBinomialSquareDouble(a,b);
var isSame = diff.Equals(b2DD);
Assert.IsTrue(isSame);
var isDeltaZero = delta.IsZero;
Assert.IsTrue(isDeltaZero);
}
/**
* Computes (a+b)^2 in two different ways and compares the result.
* For correct results, a and b should be integers.
*
* @param a
* @param b
*/
private static void CheckBinomialSquare(double a, double b)
{
// binomial square
var add = new DD(a);
var bdd = new DD(b);
var aPlusb = add.Add(bdd);
var abSq = aPlusb.Multiply(aPlusb);
// System.out.println("(a+b)^2 = " + abSq);
// expansion
var a2DD = add.Multiply(add);
var b2DD = bdd.Multiply(bdd);
var ab = add.Multiply(bdd);
var sum = b2DD.Add(ab).Add(ab);
// System.out.println("2ab+b^2 = " + sum);
var diff = abSq.Subtract(a2DD);
// System.out.println("(a+b)^2 - a^2 = " + diff);
var delta = diff.Subtract(sum);
Console.WriteLine("\nA = " + a + ", B = " + b);
Console.WriteLine("[DD] 2ab+b^2 = " + sum
+ " (a+b)^2 - a^2 = " + diff
+ " delta = " + delta);
PrintBinomialSquareDouble(a, b);
var isSame = diff.Equals(sum);
Assert.IsTrue(isSame);
var isDeltaZero = delta.IsZero;
Assert.IsTrue(isDeltaZero);
}
private static void CheckAddMult2(DD dd)
{
DD sum = dd.Add(dd);
DD prod = dd.Multiply(new DD(2.0));
CheckErrorBound("AddMult2", sum, prod, 0.0);
}