/**
* Variance from sample function values - iterative operator
* vari(i,m,n,f(i),b) --> var f(i) from i=m to i=n by delta
* i - index (argument)
* m, n - numbers or expressions
* f(i) - function string
* by delta
*
* @param pos the token position
*/
private void VAR(int pos)
{
IterativeOperatorParameters iterParams = new IterativeOperatorParameters(getFunctionParameters(pos, tokensList));
ArgumentParameter index = getParamArgument(iterParams.indexParam.paramStr);
updateMissingTokens(index, iterParams);
evalFromToDeltaParameters(index, iterParams);
double var = Statistics.var(iterParams.funExp, index.argument, iterParams.from, iterParams.to, iterParams.delta);
clearParamArgument(index);
calcSetDecreaseRemove(pos, var, true);
}
/**
* Summation operator (SIGMA by)
* sum(i,m,n,f(i),b) --> sum f(i) from i=m to i=n by delta
* i - index (argument)
* m, n - numbers or expressions
* f(i) - function string
* by delta
*
* @param pos the token position
*/
private void SUM(int pos)
{
IterativeOperatorParameters iterParams = new IterativeOperatorParameters(getFunctionParameters(pos, tokensList));
ArgumentParameter index = getParamArgument(iterParams.indexParam.paramStr);
updateMissingTokens(index, iterParams);
evalFromToDeltaParameters(index, iterParams);
double sigma = NumberTheory.sigmaSummation(iterParams.funExp, index.argument, iterParams.from, iterParams.to, iterParams.delta);
clearParamArgument(index);
calcSetDecreaseRemove(pos, sigma, true);
}
/**
* Update missing tokens in expression related
* to iterative operators.
*
* @param index Index parameter of the iterative operator
* @param iterParams Parameters list of the iterative operator
*/
private void updateMissingTokens(ArgumentParameter index, IterativeOperatorParameters iterParams)
{
if (index.presence == Argument.NOT_FOUND) {
updateMissingTokens(iterParams.indexParam.tokens, iterParams.indexParam.paramStr, index.index, Argument.TYPE_ID);
updateMissingTokens(iterParams.fromParam.tokens, iterParams.indexParam.paramStr, index.index, Argument.TYPE_ID);
updateMissingTokens(iterParams.toParam.tokens, iterParams.indexParam.paramStr, index.index, Argument.TYPE_ID);
updateMissingTokens(iterParams.funParam.tokens, iterParams.indexParam.paramStr, index.index, Argument.TYPE_ID);
}
}
/**
* Evaluates ranges 'from', 'to', 'delta' for the iterative operator
*
* @param index Index parameter of the iterative operator
* @param iterParams Parameters list of the iterative operator
*/
private void evalFromToDeltaParameters(ArgumentParameter index, IterativeOperatorParameters iterParams)
{
/*
* Create from, to, fun expression
* based on the from string
* expressions will use the same arguments list
* as used in the main expression (this.argumentsList)
*/
iterParams.fromExp = new Expression(iterParams.fromParam.paramStr, iterParams.fromParam.tokens, argumentsList, functionsList, constantsList, KEEP_ULP_ROUNDING_SETTINGS);
iterParams.toExp = new Expression(iterParams.toParam.paramStr, iterParams.toParam.tokens, argumentsList, functionsList, constantsList, KEEP_ULP_ROUNDING_SETTINGS);
iterParams.funExp = new Expression(iterParams.funParam.paramStr, iterParams.funParam.tokens, argumentsList, functionsList, constantsList, DISABLE_ULP_ROUNDING);
iterParams.deltaExp = null;
if (verboseMode == true) {
iterParams.fromExp.setVerboseMode();
iterParams.toExp.setVerboseMode();
iterParams.funExp.setVerboseMode();
}
/*
* Evaluate range
*/
iterParams.from = iterParams.fromExp.calculate();
iterParams.to = iterParams.toExp.calculate();
iterParams.delta = 1;
if (iterParams.to < iterParams.from) iterParams.delta = -1;
if (iterParams.withDelta == true) {
iterParams.deltaExp = new Expression(iterParams.deltaParam.paramStr, iterParams.deltaParam.tokens, argumentsList, functionsList, constantsList, DISABLE_ULP_ROUNDING);
if (index.presence == Argument.NOT_FOUND) {
updateMissingTokens(iterParams.deltaParam.tokens, iterParams.indexParam.paramStr, index.index, Argument.TYPE_ID);
}
if (verboseMode == true)
iterParams.deltaExp.setVerboseMode();
iterParams.delta = iterParams.deltaExp.calculate();
}
}