To add Calculation Steps Register

[mariuszgromada]

A calculation is a multistep process so a register to store all the steps, also done in a recursive way, would a beneficial option for many various use cases.

[mariuszgromada]

CalcStepRecord class
Calculation is a multistep process and this class provides a container to store a single calculation step.

CalcStepsRegister class
Calculation is a multistep process and this class provides a register to store all the steps, also done in a recursive way.

Expression.calculate(CalcStepsRegister) - calculation root from expression
Argument.getArgumentValue(CalcStepsRegister) - calculation root from argument
Function.calculate(CalcStepsRegister) - calculation root from function

Example

CalcStepsRegister stepsRegister = new CalcStepsRegister();
Argument x = new Argument("x", "2*rList(2,1,3,5,4)");
Argument y = new Argument("y = 2*x", x);
Argument z = new Argument("z = 3*y/x", x, y);
Function f = new Function("f(a,b) = a*b");
Expression e = new Expression("f(x,y)+z+(x*y)/z", x, y, z, f);

double result = e.calculate(stepsRegister);
mXparser.consolePrintln(e.getExpressionString() + " = " + result);
stepsRegister.consolePrint();

Result

f(x,y)+z+(x*y)/z = 111.16666666666667
CalcStepsRegister for Expression f(x,y)+z+(x*y)/z
gr = 1, nr = 1, first = true, last = false, type = Expression, descr = f(x,y)+z+(x*y)/z, step = f(x,y)+z+(x*y)/z
gr = 2, nr = 1, first = true, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2,1,3,5,4)
gr = 2, nr = 2, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2 1 3 5 4)
gr = 2, nr = 3, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList 2 1 3 5 4
gr = 2, nr = 4, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*4
gr = 2, nr = 4, first = false, last = true, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 8
gr = 2, nr = 1, first = true, last = false, type = Argument, descr = 2*x, step = 2*x
gr = 3, nr = 1, first = true, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2,1,3,5,4)
gr = 3, nr = 2, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2 1 3 5 4)
gr = 3, nr = 3, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList 2 1 3 5 4
gr = 3, nr = 4, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*3
gr = 3, nr = 4, first = false, last = true, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 6
gr = 2, nr = 2, first = false, last = false, type = Argument, descr = 2*x, step = 2*6
gr = 2, nr = 2, first = false, last = true, type = Argument, descr = 2*x, step = 12
gr = 2, nr = 1, first = true, last = false, type = Argument, descr = 3*y/x, step = 3*y/x
gr = 3, nr = 1, first = true, last = false, type = Argument, descr = 2*x, step = 2*x
gr = 4, nr = 1, first = true, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2,1,3,5,4)
gr = 4, nr = 2, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2 1 3 5 4)
gr = 4, nr = 3, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList 2 1 3 5 4
gr = 4, nr = 4, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*3
gr = 4, nr = 4, first = false, last = true, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 6
gr = 3, nr = 2, first = false, last = false, type = Argument, descr = 2*x, step = 2*6
gr = 3, nr = 2, first = false, last = true, type = Argument, descr = 2*x, step = 12
gr = 3, nr = 1, first = true, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2,1,3,5,4)
gr = 3, nr = 2, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2 1 3 5 4)
gr = 3, nr = 3, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList 2 1 3 5 4
gr = 3, nr = 4, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*4
gr = 3, nr = 4, first = false, last = true, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 8
gr = 2, nr = 2, first = false, last = false, type = Argument, descr = 3*y/x, step = 3*12/8
gr = 2, nr = 3, first = false, last = false, type = Argument, descr = 3*y/x, step = 36/8
gr = 2, nr = 3, first = false, last = true, type = Argument, descr = 3*y/x, step = 4.5
gr = 2, nr = 1, first = true, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2,1,3,5,4)
gr = 2, nr = 2, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2 1 3 5 4)
gr = 2, nr = 3, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList 2 1 3 5 4
gr = 2, nr = 4, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*2
gr = 2, nr = 4, first = false, last = true, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 4
gr = 2, nr = 1, first = true, last = false, type = Argument, descr = 2*x, step = 2*x
gr = 3, nr = 1, first = true, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2,1,3,5,4)
gr = 3, nr = 2, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2 1 3 5 4)
gr = 3, nr = 3, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList 2 1 3 5 4
gr = 3, nr = 4, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*3
gr = 3, nr = 4, first = false, last = true, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 6
gr = 2, nr = 2, first = false, last = false, type = Argument, descr = 2*x, step = 2*6
gr = 2, nr = 2, first = false, last = true, type = Argument, descr = 2*x, step = 12
gr = 2, nr = 1, first = true, last = false, type = Argument, descr = 3*y/x, step = 3*y/x
gr = 3, nr = 1, first = true, last = false, type = Argument, descr = 2*x, step = 2*x
gr = 4, nr = 1, first = true, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2,1,3,5,4)
gr = 4, nr = 2, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2 1 3 5 4)
gr = 4, nr = 3, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList 2 1 3 5 4
gr = 4, nr = 4, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*3
gr = 4, nr = 4, first = false, last = true, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 6
gr = 3, nr = 2, first = false, last = false, type = Argument, descr = 2*x, step = 2*6
gr = 3, nr = 2, first = false, last = true, type = Argument, descr = 2*x, step = 12
gr = 3, nr = 1, first = true, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2,1,3,5,4)
gr = 3, nr = 2, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList(2 1 3 5 4)
gr = 3, nr = 3, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*rList 2 1 3 5 4
gr = 3, nr = 4, first = false, last = false, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 2*4
gr = 3, nr = 4, first = false, last = true, type = Argument, descr = x = 2*rList(2,1,3,5,4), step = 8
gr = 2, nr = 2, first = false, last = false, type = Argument, descr = 3*y/x, step = 3*12/8
gr = 2, nr = 3, first = false, last = false, type = Argument, descr = 3*y/x, step = 36/8
gr = 2, nr = 3, first = false, last = true, type = Argument, descr = 3*y/x, step = 4.5
gr = 1, nr = 2, first = false, last = false, type = Expression, descr = f(x,y)+z+(x*y)/z, step = f(8,12)+4.5+(4*12)/4.5
gr = 1, nr = 3, first = false, last = false, type = Expression, descr = f(x,y)+z+(x*y)/z, step = f(8 12)+4.5+(4*12)/4.5
gr = 1, nr = 4, first = false, last = false, type = Expression, descr = f(x,y)+z+(x*y)/z, step = f 8 12+4.5+(4*12)/4.5
gr = 2, nr = 1, first = true, last = false, type = Expression, descr = f(a,b) = a*b, step = a*b
gr = 2, nr = 1, first = false, last = true, type = Expression, descr = f(a,b) = a*b, step = 96
gr = 1, nr = 5, first = false, last = false, type = Expression, descr = f(x,y)+z+(x*y)/z, step = 96+4.5+(4*12)/4.5
gr = 1, nr = 6, first = false, last = false, type = Expression, descr = f(x,y)+z+(x*y)/z, step = 96+4.5+(48)/4.5
gr = 1, nr = 7, first = false, last = false, type = Expression, descr = f(x,y)+z+(x*y)/z, step = 96+4.5+48/4.5
gr = 1, nr = 8, first = false, last = false, type = Expression, descr = f(x,y)+z+(x*y)/z, step = 96+4.5+10.666666666666666
gr = 1, nr = 9, first = false, last = false, type = Expression, descr = f(x,y)+z+(x*y)/z, step = 100.5+10.666666666666666
gr = 1, nr = 9, first = false, last = true, type = Expression, descr = f(x,y)+z+(x*y)/z, step = 111.16666666666667