Efficient calculations in the loops

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The tutorial consists of more than 200 live examples from 50 sections. Each of the examples can be copied and run on your own environment. In addition, mXparser provides an extensive collection of over 500 built-in math functions, expressions and symbols. Familiarize yourself with the scope and the syntax. Live testing is the best way to learn. Good luck! 🙂

Tutorial Math Collection API spec Download

Below is the code for JAVA, the code for C# is almost identical.

Case 1: User expression in the loop + output

import org.mariuszgromada.math.mxparser.*;
...
Argument x = new Argument("x");
Expression e = new Expression("2sin(x)", x);
for (int i = 0; i <= 10; i++) {
	x.setArgumentValue(i/10.0);
	mXparser.consolePrintln("x = " + x.getArgumentValue() + ", " + e.getExpressionString() + " = " + e.calculate());
}

[mXparser-v.5.0.4] x = 0.0, 2sin(x) = 0.0
[mXparser-v.5.0.4] x = 0.1, 2sin(x) = 0.1996668332936563
[mXparser-v.5.0.4] x = 0.2, 2sin(x) = 0.39733866159012243
[mXparser-v.5.0.4] x = 0.3, 2sin(x) = 0.5910404133226791
[mXparser-v.5.0.4] x = 0.4, 2sin(x) = 0.778836684617301
[mXparser-v.5.0.4] x = 0.5, 2sin(x) = 0.958851077208406
[mXparser-v.5.0.4] x = 0.6, 2sin(x) = 1.1292849467900707
[mXparser-v.5.0.4] x = 0.7, 2sin(x) = 1.288435374475382
[mXparser-v.5.0.4] x = 0.8, 2sin(x) = 1.4347121817990456
[mXparser-v.5.0.4] x = 0.9, 2sin(x) = 1.5666538192549668
[mXparser-v.5.0.4] x = 1.0, 2sin(x) = 1.682941969615793

Case 2: User function in the loop + output

import org.mariuszgromada.math.mxparser.*;
...
Function f = new Function("f(i) = 2sin(i/10)");
for (int i = 0; i <= 10; i++) {
	mXparser.consolePrintln("i = " + i + ", f(i) = " + f.calculate(i));
}

[mXparser-v.5.0.4] i = 0, f(i) = 0.0
[mXparser-v.5.0.4] i = 1, f(i) = 0.1996668332936563
[mXparser-v.5.0.4] i = 2, f(i) = 0.39733866159012243
[mXparser-v.5.0.4] i = 3, f(i) = 0.5910404133226791
[mXparser-v.5.0.4] i = 4, f(i) = 0.778836684617301
[mXparser-v.5.0.4] i = 5, f(i) = 0.958851077208406
[mXparser-v.5.0.4] i = 6, f(i) = 1.1292849467900707
[mXparser-v.5.0.4] i = 7, f(i) = 1.288435374475382
[mXparser-v.5.0.4] i = 8, f(i) = 1.4347121817990456
[mXparser-v.5.0.4] i = 9, f(i) = 1.5666538192549668
[mXparser-v.5.0.4] i = 10, f(i) = 1.682941969615793

Case 3: User argument (dependent) in the loop + output

import org.mariuszgromada.math.mxparser.*;
...
Argument x = new Argument("x");
Argument y = new Argument("y = 2sin(x)", x);
for (int i = 0; i <= 10; i++) {
	x.setArgumentValue(i/10.0);
	mXparser.consolePrintln("x = " + x.getArgumentValue() + ", y = " + y.getArgumentValue());
}

[mXparser-v.5.0.4] x = 0.0, y = 0.0
[mXparser-v.5.0.4] x = 0.1, y = 0.1996668332936563
[mXparser-v.5.0.4] x = 0.2, y = 0.39733866159012243
[mXparser-v.5.0.4] x = 0.3, y = 0.5910404133226791
[mXparser-v.5.0.4] x = 0.4, y = 0.778836684617301
[mXparser-v.5.0.4] x = 0.5, y = 0.958851077208406
[mXparser-v.5.0.4] x = 0.6, y = 1.1292849467900707
[mXparser-v.5.0.4] x = 0.7, y = 1.288435374475382
[mXparser-v.5.0.4] x = 0.8, y = 1.4347121817990456
[mXparser-v.5.0.4] x = 0.9, y = 1.5666538192549668
[mXparser-v.5.0.4] x = 1.0, y = 1.682941969615793

Case 4: User expression in the loop – Performance

import org.mariuszgromada.math.mxparser.*;
...
Argument x = new Argument("x");
Expression e = new Expression("2sin(x)", x);
long startTimeMills = System.currentTimeMillis();
int numOfIter = 10000000;
for (double xv = 0; xv <= numOfIter; xv++) {
	x.setArgumentValue(xv);
	double result = e.calculate();
}
long endTimeMills = System.currentTimeMillis();
double computingTimeSec = (endTimeMills - startTimeMills)/1000.0;
int iterPerSec = (int)(numOfIter / computingTimeSec);
mXparser.consolePrintln("Case A: User Expression in the loop");
mXparser.consolePrintln("-----------------");
mXparser.consolePrintln("Number of iterations = " + numOfIter);
mXparser.consolePrintln("Computing time = " + computingTimeSec + "s");
mXparser.consolePrintln("Number of iterations / s = " + iterPerSec);

[mXparser-v.5.0.4] Case A: User Expression in the loop
[mXparser-v.5.0.4] -----------------
[mXparser-v.5.0.4] Number of iterations = 10000000
[mXparser-v.5.0.4] Computing time = 23.445s
[mXparser-v.5.0.4] Number of iterations / s = 426530

Case 5: Speed up calculations by turning off the smart rounding options

mXparser.disableCanonicalRounding();
mXparser.disableUlpRounding();
mXparser.disableAlmostIntRounding();
Argument x = new Argument("x");
Expression e = new Expression("2sin(x)", x);
long startTimeMills = System.currentTimeMillis();
int numOfIter = 10000000;
for (double xv = 0; xv <= numOfIter; xv++) {
	x.setArgumentValue(xv);
	double result = e.calculate();
}
long endTimeMills = System.currentTimeMillis();
double computingTimeSec = (endTimeMills - startTimeMills)/1000.0;
int iterPerSec = (int)(numOfIter / computingTimeSec);
mXparser.consolePrintln("Case A: User Expression in the loop");
mXparser.consolePrintln("-----------------");
mXparser.consolePrintln("Number of iterations = " + numOfIter);
mXparser.consolePrintln("Computing time = " + computingTimeSec + "s");
mXparser.consolePrintln("Number of iterations / s = " + iterPerSec);

[mXparser-v.5.0.4] Case A: User Expression in the loop
[mXparser-v.5.0.4] -----------------
[mXparser-v.5.0.4] Number of iterations = 10000000
[mXparser-v.5.0.4] Computing time = 10.987s
[mXparser-v.5.0.4] Number of iterations / s = 910166

Case 6: User function in the loop – Performance

import org.mariuszgromada.math.mxparser.*;
...
Function f = new Function("f(x) = 2sin(x)");
long startTimeMills = System.currentTimeMillis();
int numOfIter = 10000000;
for (double xv = 0; xv <= numOfIter; xv++) {
	double result = f.calculate(xv);
}
long endTimeMills = System.currentTimeMillis();
double computingTimeSec = (endTimeMills - startTimeMills)/1000.0;
int iterPerSec = (int)(numOfIter / computingTimeSec);
mXparser.consolePrintln("Case B: User Function in the loop");
mXparser.consolePrintln("-----------------");
mXparser.consolePrintln("Number of iterations = " + numOfIter);
mXparser.consolePrintln("Computing time = " + computingTimeSec + "s");
mXparser.consolePrintln("Number of iterations / s = " + iterPerSec);

[mXparser-v.5.0.4] Case B: User Function in the loop
[mXparser-v.5.0.4] -----------------
[mXparser-v.5.0.4] Number of iterations = 10000000
[mXparser-v.5.0.4] Computing time = 24.335s
[mXparser-v.5.0.4] Number of iterations / s = 410930

Case 7: User argument (dependent) in the loop – Performance

import org.mariuszgromada.math.mxparser.*;
...
Argument x = new Argument("x");
Argument y = new Argument("y = 2sin(x)", x);
long startTimeMills = System.currentTimeMillis();
int numOfIter = 10000000;
for (double xv = 0; xv <= numOfIter; xv++) {
	x.setArgumentValue(xv);
	double result = y.getArgumentValue();
}
long endTimeMills = System.currentTimeMillis();
double computingTimeSec = (endTimeMills - startTimeMills)/1000.0;
int iterPerSec = (int)(numOfIter / computingTimeSec);
mXparser.consolePrintln("Case C: User Argument (dependent) in the loop");
mXparser.consolePrintln("-----------------");
mXparser.consolePrintln("Number of iterations = " + numOfIter);
mXparser.consolePrintln("Computing time = " + computingTimeSec + "s");
mXparser.consolePrintln("Number of iterations / s = " + iterPerSec);

[mXparser-v.5.0.4] Case C: User Argument (dependent) in the loop
[mXparser-v.5.0.4] -----------------
[mXparser-v.5.0.4] Number of iterations = 10000000
[mXparser-v.5.0.4] Computing time = 23.588s
[mXparser-v.5.0.4] Number of iterations / s = 423944