MATH-1625: Add callback to generate debugging output (unit test).

Debugging output is activated through specifying a file prefix in the CSV input file.
This commit is contained in:
Gilles Sadowski 2021-08-14 01:36:44 +02:00
parent 310b21e4d7
commit 5f36bf970a
4 changed files with 182 additions and 81 deletions

View File

@ -17,10 +17,12 @@
package org.apache.commons.math4.legacy.optim.nonlinear.scalar.noderiv;
import java.util.Arrays;
import java.util.List;
import java.io.PrintWriter;
import java.io.IOException;
import java.nio.file.Files;
import java.nio.file.Paths;
import java.nio.file.StandardOpenOption;
import org.junit.jupiter.api.Assertions;
import org.junit.jupiter.api.Test;
import org.junit.jupiter.api.extension.ParameterContext;
@ -132,6 +134,8 @@ public class SimplexOptimizerTest {
private final double jitter;
/** Whether to perform simulated annealing. */
private final boolean withSA;
/** File prefix (for saving debugging info). */
private final String tracePrefix;
/**
* @param function Test function.
@ -143,6 +147,8 @@ public class SimplexOptimizerTest {
* @param simplexSideLength Side length of initial simplex.
* @param jitter Size of random jitter.
* @param withSA Whether to perform simulated annealing.
* @param tracePrefix Prefix of the file where to save simplex
* transformations during the optimization.
*/
Task(MultivariateFunction function,
double[] start,
@ -151,7 +157,8 @@ public class SimplexOptimizerTest {
int functionEvaluations,
double simplexSideLength,
double jitter,
boolean withSA) {
boolean withSA,
String tracePrefix) {
this.function = function;
this.start = start;
this.optimum = optimum;
@ -160,6 +167,7 @@ public class SimplexOptimizerTest {
this.simplexSideLength = simplexSideLength;
this.jitter = jitter;
this.withSA = withSA;
this.tracePrefix = tracePrefix;
}
@Override
@ -170,7 +178,7 @@ public class SimplexOptimizerTest {
/**
* @param factory Simplex transform factory.
*/
public void run(Simplex.TransformFactory factory) {
/* package-private */ void run(Simplex.TransformFactory factory) {
// Let run with a maximum number of evaluations larger than expected
// (as specified by "functionEvaluations") in order to have the unit
// test failure message (see assertion below) report the actual number
@ -199,6 +207,10 @@ public class SimplexOptimizerTest {
}
final SimplexOptimizer optim = new SimplexOptimizer(-1, CONVERGENCE_CHECK);
if (tracePrefix != null) {
optim.addObserver(createCallback(factory));
}
final Simplex initialSimplex =
Simplex.alongAxes(OptimTestUtils.point(dim,
simplexSideLength,
@ -227,6 +239,76 @@ public class SimplexOptimizerTest {
name + ": nEval=" + nEval);
}
/**
* @param factory Simplex transform factory.
* @return a function to save the simplex's states to file.
*/
private SimplexOptimizer.Observer createCallback(Simplex.TransformFactory factory) {
if (tracePrefix == null) {
throw new IllegalArgumentException("Missing file prefix");
}
final String sep = "__";
final String name = tracePrefix + sanitizeBasename(function + sep +
factory + sep);
// Create file; write first data block (optimum) and columns header.
try (PrintWriter out = new PrintWriter(Files.newBufferedWriter(Paths.get(name)))) {
out.println("# Function: " + function);
out.println("# Transform: " + factory);
out.println("#");
out.println("# Optimum");
for (double c : optimum) {
out.print(c + " ");
}
out.println();
out.println();
out.println("#");
out.print("# <1: evaluations> <2: objective>");
for (int i = 0; i < start.length; i++) {
out.print(" <" + (i + 3) + ": coordinate " + i + ">");
}
out.println();
} catch (IOException e) {
Assertions.fail(e.getMessage());
}
// Return callback function.
return (simplex, isInit, numEval) -> {
try (PrintWriter out = new PrintWriter(Files.newBufferedWriter(Paths.get(name),
StandardOpenOption.APPEND))) {
if (isInit) {
// Blank line indicating the start of an optimization
// (new data block).
out.println();
out.println("# [init]"); // Initial simplex.
}
final String fieldSep = " ";
// 1 line per simplex point.
final List<PointValuePair> points = simplex.asList();
// Repeat first point on output (for plotting).
points.add(points.get(0));
for (PointValuePair p : points) {
out.print(numEval + fieldSep +
p.getValue() + fieldSep);
final double[] coord = p.getPoint();
for (int i = 0; i < coord.length; i++) {
out.print(coord[i] + fieldSep);
}
out.println();
}
// Blank line between simplexes.
out.println();
} catch (IOException e) {
Assertions.fail(e.getMessage());
}
};
}
/**
* Asserts that the lowest function value (along a line starting at
* {@link #start} is reached at the {@link #optimum}.
@ -305,9 +387,6 @@ public class SimplexOptimizerTest {
/**
* Generates a string suitable as a file name.
* <p>
* Brackets are removed; space, slash, "=" sign and comma
* characters are converted to underscores.
*
* @param f Function.
* @param start Start point.
@ -319,17 +398,33 @@ public class SimplexOptimizerTest {
double[] end) {
final String s = f.toString() + "__" +
Arrays.toString(start) + "__" +
Arrays.toString(end) + ".dat";
Arrays.toString(end);
return sanitizeBasename(s) + ".dat";
}
/**
* Generates a string suitable as a file name:
* Brackets and parentheses are removed; space, slash, "=" sign and
* comma characters are converted to underscores.
*
* @param str String.
* @return a string.
*/
private static String sanitizeBasename(String str) {
final String repl = "_";
return s
return str
.replaceAll("\\(", "")
.replaceAll("\\)", "")
.replaceAll("\\[", "")
.replaceAll("\\]", "")
.replaceAll("=", repl)
.replaceAll(",\\s+", repl)
.replaceAll(",", repl)
.replaceAll("\\s", repl)
.replaceAll("/", repl);
.replaceAll("/", repl)
.replaceAll("^_+", "")
.replaceAll("_+$", "");
}
}
@ -353,6 +448,7 @@ public class SimplexOptimizerTest {
final double sideLength = a.getDouble(index++);
final double jitter = a.getDouble(index++);
final boolean withSA = a.getBoolean(index++);
final String tracePrefix = a.getString(index++);
return new Task(funcGen.withDimension(dim),
start,
@ -361,7 +457,8 @@ public class SimplexOptimizerTest {
funcEval,
sideLength,
jitter,
withSA);
withSA,
tracePrefix);
}
/**

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@ -26,30 +26,32 @@
# 6: length of the sides of the initial simplex
# 7: size of the random noise (to generate slightly different initial conditions)
# 8: whether to perform simulated annealing
# 9: File prefix for debugging (or empty slot for no debugging)
#
# Caveat: Some tests are commented out (cf. JIRA: MATH-1552).
#
PARABOLA, 4, 2.5 3.1 4.6 5.8, 0 0 0 0, 1e-4, 820, 3, 2e-1, true
ROSENBROCK, 2, -1.2 1, 1 1, 1e-4, 380, 3, 1e-1, true
ROSENBROCK, 5, -4.4 -3.5 -2.6 -1.7 -0.8, 1 1 1 1 1, 1e-4, 3800, 5e-1, 1e-1, true
ROSENBROCK, 10, -0.1 0.1 0.2 -0.1 -0.2 0.3 0.2 -0.1 0.2 -0.3, 1 1 1 1 1 1 1 1 1 1, 5e-5, 38000, 3, 5e-2, true
POWELL, 4, 3 -1 -2 1, 0 0 0 0, 5e-3, 1100, 3, 1e-1, true
CIGAR, 13, -1.2 2.3 -3.2 2.1 1.2 -2.3 3.2 -2.1 -1.2 2.3 -3.2 2.1 -1.2, 0 0 0 0 0 0 0 0 0 0 0 0 0, 5e-5, 75000, 3, 1e-1, true
SPHERE, 13, -1.2 2.3 -3.2 2.1 1.2 -2.3 3.2 -2.1 -1.2 2.3 -3.2 2.1 -1.2, 0 0 0 0 0 0 0 0 0 0 0 0 0, 5e-4, 47000, 3, 1e-1, true
ELLI, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 25000, 3, 1e-1, true
#TWO_AXES, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 1000, 3, 1e-1, true
#CIG_TAB, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 1000, 3, 1e-1, true
TABLET, 11, 2 3 4 -3 -2 -1 2 3 4 3 -1, 0 0 0 0 0 0 0 0 0 0 0, 2e-4, 41000, 3, 1e-1, true
#DIFF_POW, 7, 1 -1 1 -1 1 -1 1, 0 0 0 0 0 0 0, 1e-2, 2500, 3, 1e-1, true
SS_DIFF_POW, 6, -3.2 2.1 1.2 -2.3 3.2 -2.1, 0 0 0 0 0 0, 1e-3, 10500, 3, 1e-1, true
#ACKLEY, 4, 3 4 -3 -2, 0 0 0 0, 1e-6, 1100, 3, 5e-1, true
#RASTRIGIN, 4, 3 4 -3 -2, 0 0 0 0, 1e-6, 10000, 3, 5e-1, true
#GRIEWANK, 3, -210 123 -456, 0 0 0, 1e-1, 1000, 50, 100, true
#LEVY, 4, 4 -6 -2 8, 1 1 1 1, 1e-3, 3000, 1, 1, true
#SCHWEFEL, 2, 100 -200, 420.9687 420.9687, 1, 300, 100, 100, true
ZAKHAROV, 5, -4 -2 3 5 7, 0 0 0 0 0, 1e-4, 2200, 1.5, 1, true
PERM, 2, -2 -1, 1 2, 2e-3, 210, 5e-1, 1e-1, true
#PERM, 3, -2 -3 -1, 1 2 3, 5e-5, 200, 5e-1, 1e-1, true
#PERM, 4, -2 -3 -4 -1, 1 2 3 4, 5e-4, 2200, 5e-1, 1e-1, true
#PERM, 5, -2 -3 -4 -5 -1, 1 2 3 4 5, 5e-4, 200, 5e-1, 1e-1, true
#STYBLINSKI_TANG, 4, 1 2 3 4, -2.903534 -2.903534 -2.903534 -2.903534, 1e-4, 500, 1, 5e-1, true
PARABOLA, 2, 4.6 5.8, 0 0, 1e-4, 820, 1, 2e-1, true,
PARABOLA, 4, 2.5 3.1 4.6 5.8, 0 0 0 0, 1e-4, 820, 1, 2e-1, true,
ROSENBROCK, 2, -1.2 1, 1 1, 1e-4, 380, 1, 1e-1, true,
ROSENBROCK, 5, -4.4 -3.5 -2.6 -1.7 -0.8, 1 1 1 1 1, 1e-4, 3800, 5e-1, 1e-1, true,
ROSENBROCK, 10, -0.1 0.1 0.2 -0.1 -0.2 0.3 0.2 -0.1 0.2 -0.3, 1 1 1 1 1 1 1 1 1 1, 5e-5, 38000, 3, 5e-2, true,
POWELL, 4, 3 -1 -2 1, 0 0 0 0, 5e-3, 1100, 3, 1e-1, true,
CIGAR, 13, -1.2 2.3 -3.2 2.1 1.2 -2.3 3.2 -2.1 -1.2 2.3 -3.2 2.1 -1.2, 0 0 0 0 0 0 0 0 0 0 0 0 0, 5e-5, 75000, 3, 1e-1, true,
SPHERE, 13, -1.2 2.3 -3.2 2.1 1.2 -2.3 3.2 -2.1 -1.2 2.3 -3.2 2.1 -1.2, 0 0 0 0 0 0 0 0 0 0 0 0 0, 5e-4, 47000, 3, 1e-1, true,
ELLI, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 25000, 3, 1e-1, true,
#TWO_AXES, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 1000, 3, 1e-1, true,
#CIG_TAB, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 1000, 3, 1e-1, true,
TABLET, 11, 2 3 4 -3 -2 -1 2 3 4 3 -1, 0 0 0 0 0 0 0 0 0 0 0, 2e-4, 41000, 3, 1e-1, true,
#DIFF_POW, 7, 1 -1 1 -1 1 -1 1, 0 0 0 0 0 0 0, 1e-2, 2500, 3, 1e-1, true,
SS_DIFF_POW, 6, -3.2 2.1 1.2 -2.3 3.2 -2.1, 0 0 0 0 0 0, 1e-3, 10500, 3, 1e-1, true,
#ACKLEY, 4, 3 4 -3 -2, 0 0 0 0, 1e-6, 1100, 3, 5e-1, true,
#RASTRIGIN, 4, 3 4 -3 -2, 0 0 0 0, 1e-6, 10000, 3, 5e-1, true,
#GRIEWANK, 3, -210 123 -456, 0 0 0, 1e-1, 1000, 50, 100, true,
#LEVY, 4, 4 -6 -2 8, 1 1 1 1, 1e-3, 3000, 1, 1, true,
#SCHWEFEL, 2, 100 -200, 420.9687 420.9687, 1, 300, 100, 100, true,
ZAKHAROV, 5, -4 -2 3 5 7, 0 0 0 0 0, 1e-4, 2200, 1.5, 1, true,
PERM, 2, -2 -1, 1 2, 2e-3, 210, 5e-1, 1e-1, true,
#PERM, 3, -2 -3 -1, 1 2 3, 5e-5, 200, 5e-1, 1e-1, true,
#PERM, 4, -2 -3 -4 -1, 1 2 3 4, 5e-4, 2200, 5e-1, 1e-1, true,
#PERM, 5, -2 -3 -4 -5 -1, 1 2 3 4 5, 5e-4, 200, 5e-1, 1e-1, true,
#STYBLINSKI_TANG, 4, 1 2 3 4, -2.903534 -2.903534 -2.903534 -2.903534, 1e-4, 500, 1, 5e-1, true,

Can't render this file because it contains an unexpected character in line 6 and column 8.

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@ -26,30 +26,31 @@
# 6: length of the sides of the initial simplex
# 7: size of the random noise (to generate slightly different initial conditions)
# 8: whether to perform simulated annealing
# 9: File prefix for debugging (or empty slot for no debugging)
#
# Caveat: Some tests are commented out (cf. JIRA: MATH-1552).
#
PARABOLA, 4, 2.5 3.1 4.6 5.8, 0 0 0 0, 1e-4, 380, 1, 2e-1, false
ROSENBROCK, 2, -1.2 1, 1 1, 2e-3, 11100, 1, 1e-1, false
#ROSENBROCK, 5, -4.4 -3.5 -2.6 -1.7 -0.8, 1 1 1 1 1, 1e-4, 180, 5e-1, 1e-1, false
ROSENBROCK, 10, -0.1 0.1 0.2 -0.1 -0.2 0.3 0.2 -0.1 0.2 -0.3, 1 1 1 1 1 1 1 1 1 1, 3e-3, 100000, 1, 5e-2, false
#POWELL, 4, 3 -1 -2 1, 0 0 0 0, 5e-3, 420, 1, 1e-1, false
CIGAR, 13, -1.2 2.3 -3.2 2.1 1.2 -2.3 3.2 -2.1 -1.2 2.3 -3.2 2.1 -1.2, 0 0 0 0 0 0 0 0 0 0 0 0 0, 5e-6, 7000, 1, 1e-1, false
SPHERE, 13, -1.2 2.3 -3.2 2.1 1.2 -2.3 3.2 -2.1 -1.2 2.3 -3.2 2.1 -1.2, 0 0 0 0 0 0 0 0 0 0 0 0 0, 5e-5, 3600, 1, 1e-1, false
ELLI, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 50000, 1, 1e-1, false
TWO_AXES, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-6, 3200, 1, 1e-1, false
CIG_TAB, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 5e-6, 2900, 1, 1e-1, false
TABLET, 11, 2 3 4 -3 -2 -1 2 3 4 3 -1, 0 0 0 0 0 0 0 0 0 0 0, 5e-6, 3200, 1, 1e-1, false
DIFF_POW, 7, 1 -1 1 -1 1 -1 1, 0 0 0 0 0 0 0, 5e-4, 2500, 1, 1e-1, false
SS_DIFF_POW, 6, -3.2 2.1 1.2 -2.3 3.2 -2.1, 0 0 0 0 0 0, 1e-3, 4000, 1, 1e-1, false
ACKLEY, 4, 3 4 -3 -2, 0 0 0 0, 1e-6, 770, 1, 5e-1, false
#RASTRIGIN, 4, 3 4 -3 -2, 0 0 0 0, 1e-6, 10000, 1, 5e-1, false
#GRIEWANK, 3, -210 123 -456, 0 0 0, 1e-1, 1000, 50, 100, false
#LEVY, 4, 4 -6 -2 8, 1 1 1 1, 1e-3, 3000, 1, 1, false
#SCHWEFEL, 2, 100 -200, 420.9687 420.9687, 1, 300, 100, 100, false
ZAKHAROV, 5, -4 -2 3 5 7, 0 0 0 0 0, 1e-4, 3100, 1.5, 1, false
PERM, 2, -2 -1, 1 2, 3e-2, 25000, 5e-1, 1e-1, false
#PERM, 3, -2 -3 -1, 1 2 3, 5e-5, 200, 5e-1, 1e-1, false
#PERM, 4, -2 -3 -4 -1, 1 2 3 4, 5e-4, 2200, 5e-1, 1e-1, false
#PERM, 5, -2 -3 -4 -5 -1, 1 2 3 4 5, 5e-4, 200, 5e-1, 1e-1, false
#STYBLINSKI_TANG, 4, 1 2 3 4, -2.903534 -2.903534 -2.903534 -2.903534, 1e-4, 500, 1, 5e-1, false
PARABOLA, 4, 2.5 3.1 4.6 5.8, 0 0 0 0, 1e-4, 380, 1, 2e-1, false,
ROSENBROCK, 2, -1.2 1, 1 1, 2e-3, 11100, 1, 1e-1, false,
#ROSENBROCK, 5, -4.4 -3.5 -2.6 -1.7 -0.8, 1 1 1 1 1, 1e-4, 180, 5e-1, 1e-1, false,
ROSENBROCK, 10, -0.1 0.1 0.2 -0.1 -0.2 0.3 0.2 -0.1 0.2 -0.3, 1 1 1 1 1 1 1 1 1 1, 3e-3, 100000, 1, 5e-2, false,
#POWELL, 4, 3 -1 -2 1, 0 0 0 0, 5e-3, 420, 1, 1e-1, false,
CIGAR, 13, -1.2 2.3 -3.2 2.1 1.2 -2.3 3.2 -2.1 -1.2 2.3 -3.2 2.1 -1.2, 0 0 0 0 0 0 0 0 0 0 0 0 0, 5e-6, 7000, 1, 1e-1, false,
SPHERE, 13, -1.2 2.3 -3.2 2.1 1.2 -2.3 3.2 -2.1 -1.2 2.3 -3.2 2.1 -1.2, 0 0 0 0 0 0 0 0 0 0 0 0 0, 5e-5, 3600, 1, 1e-1, false,
ELLI, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 50000, 1, 1e-1, false,
TWO_AXES, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-6, 3200, 1, 1e-1, false,
CIG_TAB, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 5e-6, 2900, 1, 1e-1, false,
TABLET, 11, 2 3 4 -3 -2 -1 2 3 4 3 -1, 0 0 0 0 0 0 0 0 0 0 0, 5e-6, 3200, 1, 1e-1, false,
DIFF_POW, 7, 1 -1 1 -1 1 -1 1, 0 0 0 0 0 0 0, 5e-4, 2500, 1, 1e-1, false,
SS_DIFF_POW, 6, -3.2 2.1 1.2 -2.3 3.2 -2.1, 0 0 0 0 0 0, 1e-3, 4000, 1, 1e-1, false,
ACKLEY, 4, 3 4 -3 -2, 0 0 0 0, 1e-6, 770, 1, 5e-1, false,
#RASTRIGIN, 4, 3 4 -3 -2, 0 0 0 0, 1e-6, 10000, 1, 5e-1, false,
#GRIEWANK, 3, -210 123 -456, 0 0 0, 1e-1, 1000, 50, 100, false,
#LEVY, 4, 4 -6 -2 8, 1 1 1 1, 1e-3, 3000, 1, 1, false,
#SCHWEFEL, 2, 100 -200, 420.9687 420.9687, 1, 300, 100, 100, false,
ZAKHAROV, 5, -4 -2 3 5 7, 0 0 0 0 0, 1e-4, 3100, 1.5, 1, false,
PERM, 2, -2 -1, 1 2, 3e-2, 25000, 5e-1, 1e-1, false,
#PERM, 3, -2 -3 -1, 1 2 3, 5e-5, 200, 5e-1, 1e-1, false,
#PERM, 4, -2 -3 -4 -1, 1 2 3 4, 5e-4, 2200, 5e-1, 1e-1, false,
#PERM, 5, -2 -3 -4 -5 -1, 1 2 3 4 5, 5e-4, 200, 5e-1, 1e-1, false,
#STYBLINSKI_TANG, 4, 1 2 3 4, -2.903534 -2.903534 -2.903534 -2.903534, 1e-4, 500, 1, 5e-1, false,

Can't render this file because it contains an unexpected character in line 6 and column 8.

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@ -26,30 +26,31 @@
# 6: length of the sides of the initial simplex
# 7: size of the random noise (to generate slightly different initial conditions)
# 8: whether to perform simulated annealing
# 9: File prefix for debugging (or empty slot for no debugging)
#
# Caveat: Some tests are commented out (cf. JIRA: MATH-1552).
#
PARABOLA, 4, 2.5 3.1 4.6 5.8, 0 0 0 0, 1e-4, 200, 1, 2e-1, false
ROSENBROCK, 2, -1.2 1, 1 1, 1e-4, 180, 1, 1e-1, false
ROSENBROCK, 5, -4.4 -3.5 -2.6 -1.7 -0.8, 1 1 1 1 1, 1e-4, 800, 5e-1, 1e-1, false
ROSENBROCK, 10, -0.1 0.1 0.2 -0.1 -0.2 0.3 0.2 -0.1 0.2 -0.3, 1 1 1 1 1 1 1 1 1 1, 5e-5, 9000, 1, 5e-2, false
POWELL, 4, 3 -1 -2 1, 0 0 0 0, 5e-3, 420, 1, 1e-1, false
CIGAR, 13, -1.2 2.3 -3.2 2.1 1.2 -2.3 3.2 -2.1 -1.2 2.3 -3.2 2.1 -1.2, 0 0 0 0 0 0 0 0 0 0 0 0 0, 5e-5, 7000, 1, 1e-1, false
SPHERE, 13, -1.2 2.3 -3.2 2.1 1.2 -2.3 3.2 -2.1 -1.2 2.3 -3.2 2.1 -1.2, 0 0 0 0 0 0 0 0 0 0 0 0 0, 5e-4, 3000, 1, 1e-1, false
ELLI, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 50000, 1, 1e-1, false
#TWO_AXES, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 5000, 1, 1e-1, false
#CIG_TAB, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 7000, 1, 1e-1, false
TABLET, 11, 2 3 4 -3 -2 -1 2 3 4 3 -1, 0 0 0 0 0 0 0 0 0 0 0, 2e-4, 3600, 1, 1e-1, false
#DIFF_POW, 7, 1 -1 1 -1 1 -1 1, 0 0 0 0 0 0 0, 5e-4, 2500, 1, 1e-1, false
SS_DIFF_POW, 6, -3.2 2.1 1.2 -2.3 3.2 -2.1, 0 0 0 0 0 0, 1e-3, 4000, 1, 1e-1, false
ACKLEY, 4, 3 4 -3 -2, 0 0 0 0, 1e-6, 430, 1, 5e-1, false
#RASTRIGIN, 4, 3 4 -3 -2, 0 0 0 0, 1e-6, 10000, 1, 5e-1, false
#GRIEWANK, 3, -210 123 -456, 0 0 0, 1e-1, 1000, 50, 100, false
#LEVY, 4, 4 -6 -2 8, 1 1 1 1, 1e-3, 3000, 1, 1, false
#SCHWEFEL, 2, 100 -200, 420.9687 420.9687, 1, 300, 100, 100, false
ZAKHAROV, 5, -4 -2 3 5 7, 0 0 0 0 0, 5e-5, 500, 1.5, 1, false
PERM, 2, -2 -1, 1 2, 5e-5, 200, 5e-1, 1e-1, false
#PERM, 3, -2 -3 -1, 1 2 3, 5e-5, 200, 5e-1, 1e-1, false
PERM, 4, -2 -3 -4 -1, 1 2 3 4, 5e-3, 2800, 5e-1, 1e-1, false
#PERM, 5, -2 -3 -4 -5 -1, 1 2 3 4 5, 5e-4, 200, 5e-1, 1e-1, false
#STYBLINSKI_TANG, 4, 1 2 3 4, -2.903534 -2.903534 -2.903534 -2.903534, 1e-4, 500, 1, 5e-1, false
PARABOLA, 4, 2.5 3.1 4.6 5.8, 0 0 0 0, 1e-4, 200, 1, 2e-1, false,
ROSENBROCK, 2, -1.2 1, 1 1, 1e-4, 180, 1, 1e-1, false,
ROSENBROCK, 5, -4.4 -3.5 -2.6 -1.7 -0.8, 1 1 1 1 1, 1e-4, 800, 5e-1, 1e-1, false,
ROSENBROCK, 10, -0.1 0.1 0.2 -0.1 -0.2 0.3 0.2 -0.1 0.2 -0.3, 1 1 1 1 1 1 1 1 1 1, 5e-5, 9000, 1, 5e-2, false,
POWELL, 4, 3 -1 -2 1, 0 0 0 0, 5e-3, 420, 1, 1e-1, false,
CIGAR, 13, -1.2 2.3 -3.2 2.1 1.2 -2.3 3.2 -2.1 -1.2 2.3 -3.2 2.1 -1.2, 0 0 0 0 0 0 0 0 0 0 0 0 0, 5e-5, 7000, 1, 1e-1, false,
SPHERE, 13, -1.2 2.3 -3.2 2.1 1.2 -2.3 3.2 -2.1 -1.2 2.3 -3.2 2.1 -1.2, 0 0 0 0 0 0 0 0 0 0 0 0 0, 5e-4, 3000, 1, 1e-1, false,
ELLI, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 50000, 1, 1e-1, false,
#TWO_AXES, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 5000, 1, 1e-1, false,
#CIG_TAB, 10, 2 3 4 -3 -2 -1 2 3 4 3, 0 0 0 0 0 0 0 0 0 0, 1e-4, 7000, 1, 1e-1, false,
TABLET, 11, 2 3 4 -3 -2 -1 2 3 4 3 -1, 0 0 0 0 0 0 0 0 0 0 0, 2e-4, 3600, 1, 1e-1, false,
#DIFF_POW, 7, 1 -1 1 -1 1 -1 1, 0 0 0 0 0 0 0, 5e-4, 2500, 1, 1e-1, false,
SS_DIFF_POW, 6, -3.2 2.1 1.2 -2.3 3.2 -2.1, 0 0 0 0 0 0, 1e-3, 4000, 1, 1e-1, false,
ACKLEY, 4, 3 4 -3 -2, 0 0 0 0, 1e-6, 430, 1, 5e-1, false,
#RASTRIGIN, 4, 3 4 -3 -2, 0 0 0 0, 1e-6, 10000, 1, 5e-1, false,
#GRIEWANK, 3, -210 123 -456, 0 0 0, 1e-1, 1000, 50, 100, false,
#LEVY, 4, 4 -6 -2 8, 1 1 1 1, 1e-3, 3000, 1, 1, false,
#SCHWEFEL, 2, 100 -200, 420.9687 420.9687, 1, 300, 100, 100, false,
ZAKHAROV, 5, -4 -2 3 5 7, 0 0 0 0 0, 5e-5, 500, 1.5, 1, false,
PERM, 2, -2 -1, 1 2, 5e-5, 200, 5e-1, 1e-1, false,
#PERM, 3, -2 -3 -1, 1 2 3, 5e-5, 200, 5e-1, 1e-1, false,
PERM, 4, -2 -3 -4 -1, 1 2 3 4, 5e-3, 2800, 5e-1, 1e-1, false,
#PERM, 5, -2 -3 -4 -5 -1, 1 2 3 4 5, 5e-4, 200, 5e-1, 1e-1, false,
#STYBLINSKI_TANG, 4, 1 2 3 4, -2.903534 -2.903534 -2.903534 -2.903534, 1e-4, 500, 1, 5e-1, false,

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