public static void Sub(Real a, Real b)
{
Console.WriteLine();
Console.WriteLine("SUBTRACTION");
Console.WriteLine("--------");
Console.WriteLine("First number = " + a.ToFloat());
Console.WriteLine("Second number = " + b.ToFloat());
Console.WriteLine();
Console.WriteLine("In two's complement:");
Console.WriteLine("First number = " + a.ToFormat());
Console.WriteLine("Second number = " + b.ToFormat());
b.Sign = (b.Sign != 0) ? 0 : 1;
Console.WriteLine("Negate second number:");
Console.WriteLine("Second number = " + b.ToFloat());
Console.WriteLine("Second number = " + b.ToFormat());
Add(a, b);
}
public static void Mul(Real a, Real b)
{
Console.WriteLine();
Console.WriteLine("MULTIPLICATION");
Console.WriteLine("--------");
Console.WriteLine("First number = " + a.ToFloat());
Console.WriteLine("Second number = " + b.ToFloat());
Console.WriteLine();
Console.WriteLine("In two's complement:");
Console.WriteLine("First number = " + a.ToFormat());
Console.WriteLine("Second number = " + b.ToFormat());
Console.WriteLine();
long SignA = (a.Sign == 1 ? -1 : 1), SignB = (b.Sign == 1 ? -1 : 1);
long ExpA = a.Exp - Real.ExpSecret, ExpB = b.Exp - Real.ExpSecret;
long MantA = a.Mant + Real.MantSecret, MantB = b.Mant + Real.MantSecret;
if (a.EqualsZero() || b.EqualsZero())
{
Real s = new Real(0.0f);
Console.WriteLine("One of the numbers equals zero:");
Console.WriteLine("Product = " + s.ToFormat());
Console.WriteLine("Product = " + s.ToFloat());
return;
}
long SignP = SignA != SignB ? -1 : 1;
long ExpP = ExpA + ExpB;
long MantP = (MantA * MantB).RoundedDivision(Real.MantSecret);
while (MantP >= (Real.MantSecret << 1))
{
MantP >>= 1;
ExpP++;
}
while (MantP < (1 << 23))
{
MantP <<= 1;
ExpP--;
}
if (ExpP <= -Real.ExpSecret)
{
Console.WriteLine("UNDERFLOW!");
return;
}
if (Real.ExpSecret < ExpP)
{
Console.WriteLine("OVERFLOW!");
return;
}
Real P = new Real(SignP, ExpP, MantP);
Console.WriteLine("Product = " + P.ToFormat());
Console.WriteLine("Product = " + P.ToFloat());
}
public static void Div(Real a, Real b)
{
Console.WriteLine();
Console.WriteLine("DIVISION");
Console.WriteLine("--------");
Console.WriteLine("First number = " + a.ToFloat());
Console.WriteLine("Second number = " + b.ToFloat());
Console.WriteLine();
Console.WriteLine("In two's complement:");
Console.WriteLine("First number = " + a.ToFormat());
Console.WriteLine("Second number = " + b.ToFormat());
Console.WriteLine();
long SignA = (a.Sign == 1 ? -1 : 1), SignB = (b.Sign == 1 ? -1 : 1);
long ExpA = a.Exp - Real.ExpSecret, ExpB = b.Exp - Real.ExpSecret;
long MantA = a.Mant + Real.MantSecret, MantB = b.Mant + Real.MantSecret;
if (b.EqualsZero())
{
Console.WriteLine("ZERO DIVISION!");
return;
}
if (a.EqualsZero())
{
Real s = new Real(0.0f);
Console.WriteLine("First number equals zero:");
Console.WriteLine("Product = " + s.ToFormat());
Console.WriteLine("Product = " + s.ToFloat());
return;
}
long SignQ = SignA != SignB ? -1 : 1;
long ExpQ = ExpA - ExpB;
long MantQ = (MantA * Real.MantSecret).RoundedDivision(MantB);
while (MantQ >= (Real.MantSecret << 1))
{
MantQ >>= 1;
ExpQ++;
}
while (MantQ < (1 << 23))
{
MantQ <<= 1;
ExpQ--;
}
if (ExpQ <= -Real.ExpSecret)
{
Console.WriteLine("UNDERFLOW!");
return;
}
if (Real.ExpSecret < ExpQ)
{
Console.WriteLine("OVERFLOW!");
return;
}
Real Q = new Real(SignQ, ExpQ, MantQ);
Console.WriteLine("Quotient = " + Q.ToFormat());
Console.WriteLine("Quotient = " + Q.ToFloat());
}
public static void Add(Real a, Real b)
{
Console.WriteLine();
Console.WriteLine("ADDITION");
Console.WriteLine("--------");
Console.WriteLine("First number = " + a.ToFloat());
Console.WriteLine("Second number = " + b.ToFloat());
Console.WriteLine();
Console.WriteLine("In two's complement:");
Console.WriteLine("First number = " + a.ToFormat());
Console.WriteLine("Second number = " + b.ToFormat());
Console.WriteLine();
long SignA = (a.Sign == 1 ? -1 : 1), SignB = (b.Sign == 1 ? -1 : 1);
long ExpA = a.Exp - Real.ExpSecret, ExpB = b.Exp - Real.ExpSecret;
long MantA = a.Mant + Real.MantSecret, MantB = b.Mant + Real.MantSecret;
if (a.EqualsZero() || b.EqualsZero())
{
Real s = a.EqualsZero() ? b : a;
Console.WriteLine("One of the numbers equals zero:");
Console.WriteLine("Summ = " + s.ToFormat());
Console.WriteLine("Summ = " + s.ToFloat());
return;
}
while (ExpA < ExpB)
{
ExpA++;
MantA >>= 1;
}
while (ExpB < ExpA)
{
ExpB++;
MantB >>= 1;
}
Console.WriteLine("After normalization:");
Console.WriteLine("First number = " + a.ToFormat());
Console.WriteLine("Second number = " + b.ToFormat());
Console.WriteLine();
if (MantA == 0 || MantB == 0)
{
Real s = MantA == 0 ? b : a;
Console.WriteLine("One of the numbers is almost zero:");
Console.WriteLine("Summ = " + s.ToFormat());
Console.WriteLine("Summ = " + s.ToFloat());
return;
}
long ExpS = ExpA;
long MantS = MantA * SignA + MantB * SignB;
long SignS = (MantS < 0 ? -1 : 1);
MantS *= SignS;
if (MantS == 0)
{
Real s = new Real(0.0f);
Console.WriteLine("Summ of the numbers is zero:");
Console.WriteLine("Summ = " + s.ToFormat());
Console.WriteLine("Summ = " + s.ToFloat());
return;
}
while (MantS >= (Real.MantSecret << 1))
{
MantS >>= 1;
ExpS++;
}
while (MantS < (1 << 23))
{
MantS <<= 1;
ExpS--;
}
if (ExpS <= -Real.ExpSecret)
{
Console.WriteLine("UNDERFLOW!");
return;
}
if (Real.ExpSecret < ExpS)
{
Console.WriteLine("OVERFLOW!");
return;
}
Real S = new Real(SignS, ExpS, MantS);
Console.WriteLine("Summ = " + S.ToFormat());
Console.WriteLine("Summ = " + S.ToFloat());
}