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-28 223.2 moveto
-12 f0
-(which is basically an ) show
-131.3 223.2 moveto
-12 f0
-(STL) show
-152.6 223.2 moveto
-12 f0
-( ) show
-155.5 223.2 moveto
-10 f5
-(vector) show
-227.5 223.2 moveto
-12 f0
-(, then fill it with Indi's.) show
-339.1 223.2 moveto
-12 f0
-( And remember that) show
-28 209.9 moveto
-10 f5
-(v.push_back) show
-94 209.9 moveto
-12 f0
-( simply appends its argument at the end of ) show
-300.3 209.9 moveto
-12 f0
-(STL) show
-321.6 209.9 moveto
-12 f0
-( vector ) show
-357.5 209.9 moveto
-10 f5
-(v.) show
-369.5 209.9 moveto
-12 f0
-( ) show
-46.1 198.9 moveto
-3.3 3.3 c stroke
-56 194.8 moveto
-12 f0
-(Bit) show
-70.6 194.8 moveto
-12 f0
-( ) show
-73.5 194.8 moveto
-10 f5
-(rng.flip\(\)) show
-133.5 194.8 moveto
-12 f0
-( return a ) show
-176.4 194.8 moveto
-14 f0
-(random boolean) show
-266.9 194.8 moveto
-12 f0
-( ) show
-46.1 183.4 moveto
-3.3 3.3 c stroke
-56 179.3 moveto
-12 f0
-(Real) show
-77.9 179.3 moveto
-12 f0
-( ) show
-80.8 179.3 moveto
-10 f5
-(rng.uniform\(\)) show
-158.8 179.3 moveto
-12 f0
-( returns a ) show
-206.4 179.3 moveto
-14 f0
-(real value uniformly drawn in [0,1].) show
-407.4 179.3 moveto
-12 f0
-( ) show
-56 165.6 moveto
-12 f0
-( ) show
-18.1 155.9 moveto
-3.3 3.3 c fill
-28 151.8 moveto
-12 f1
-(Output) show
-65.3 151.8 moveto
-12 f0
-(: take a snapshot at the initial population \() show
-266.6 151.8 moveto
-12 f0
-(Bit) show
-281.2 151.8 moveto
-12 f0
-( - ) show
-291.1 151.8 moveto
-12 f0
-(Real) show
-313 151.8 moveto
-12 f0
-(\). Sort it first, so the best) show
-28 138.5 moveto
-12 f0
-(individuals are first, and display it. Note that an eoPop has a ) show
-319.9 138.5 moveto
-10 f5
-(<<) show
-331.9 138.5 moveto
-12 f0
-( method, which means that a) show
-28 125.2 moveto
-12 f0
-(simple ) show
-63 125.2 moveto
-10 f5
-(os << pop ) show
-123 125.2 moveto
-12 f0
-(streams the ) show
-180.3 125.2 moveto
-10 f5
-(pop) show
-198.3 125.2 moveto
-12 f0
-( onto the ostream ) show
-284.2 125.2 moveto
-10 f5
-(os) show
-296.2 125.2 moveto
-12 f0
-(. This is true for ) show
-376.1 125.2 moveto
-12 f0
-(all objects of of class) show
-28 109.6 moveto
-14 f1
-(eoPrintable) show
-97.2 109.6 moveto
-12 f0
-( \(most EO objects\) through the method ) show
-287.5 109.6 moveto
-10 f5
-(printOn) show
-329.5 109.6 moveto
-12 f0
-( \(which is then called by the ) show
-467.8 109.6 moveto
-10 f5
-(<<) show
-28 95.9 moveto
-12 f0
-(operator\).) show
-74.9 95.9 moveto
-12 f0
-( ) show
-28 82.6 moveto
-12 f0
-( ) show
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-18.1 753.8 moveto
-3.3 3.3 c fill
-28 749.7 moveto
-12 f1
-(Evolution engine:) show
-118.3 749.7 moveto
-12 f0
-( The selection/replacement mechanism \() show
-312.2 749.7 moveto
-12 f0
-(Bit) show
-326.8 749.7 moveto
-12 f0
-( - ) show
-336.7 749.7 moveto
-12 f0
-(Real) show
-358.6 749.7 moveto
-12 f0
-(\) is a simple generational) show
-28 734.1 moveto
-12 f0
-(GA here: a simple selector, and a generational replacement. The ) show
-339.2 734.1 moveto
-14 f1
-(eoDetTournament) show
-448.8 734.1 moveto
-12 f0
-( has) show
-28 720.4 moveto
-12 f0
-(been chosen as a robust selection, and the generational replacement \(all parents are replaced) show
-28 707.1 moveto
-12 f0
-(by the offspring\) is hard-coded in the eoSGA ) show
-247.9 707.1 moveto
-12 f0
-(algorithm) show
-294.5 707.1 moveto
-12 f0
-(.) show
-297.4 707.1 moveto
-12 f0
-( ) show
-28 693.8 moveto
-12 f0
-( ) show
-18.1 684.1 moveto
-3.3 3.3 c fill
-28 680 moveto
-12 f1
-(Variation operators) show
-129.6 680 moveto
-12 f0
-(:) show
-132.9 680 moveto
-12 f0
-( in the simple algorithm considered here, individuals undergo ) show
-430.8 680 moveto
-12 f0
-(crossover) show
-28 664.4 moveto
-12 f0
-(and ) show
-48.3 664.4 moveto
-12 f0
-(mutation) show
-90.9 664.4 moveto
-12 f0
-(. In EO, these operators are \() show
-228.8 664.4 moveto
-12 f0
-(functor) show
-263.4 664.4 moveto
-12 f0
-(\) objects of class) show
-343.7 664.4 moveto
-12 f0
-( ) show
-346.6 664.4 moveto
-14 f1
-(eoQuadOp) show
-411.9 664.4 moveto
-12 f0
-( \(binary) show
-28 648.4 moveto
-12 f0
-(operator that modifies both its arguments\) and ) show
-252.9 648.4 moveto
-14 f1
-(eoMonOp) show
-312.7 648.4 moveto
-12 f0
-( \(unary operator\). These operators) show
-28 634.7 moveto
-12 f0
-(are applied in turn to all selected parents, according to user-defined probabilities. These) show
-28 621.4 moveto
-12 f0
-(probabilities are defined with all other ) show
-214.6 621.4 moveto
-12 f0
-(parameters) show
-267.2 621.4 moveto
-12 f0
-(, and will be passed to the ) show
-394.5 621.4 moveto
-12 f5
-(eoSGA) show
-430.6 621.4 moveto
-12 f0
-(algorithm) show
-477.2 621.4 moveto
-12 f0
-(.) show
-46.1 609.6 moveto
-3.3 3.3 c stroke
-56 605.5 moveto
-12 f0
-(Bit) show
-70.6 605.5 moveto
-12 f0
-( The crossover ) show
-144.2 605.5 moveto
-14 f1
-(eoBinCrossover) show
-239 605.5 moveto
-12 f0
-( is the standard ) show
-314.3 605.5 moveto
-12 f0
-(1-point crossover) show
-397.9 605.5 moveto
-12 f0
-(, and) show
-56 589.5 moveto
-14 f1
-(eoBinMutation) show
-146.2 589.5 moveto
-12 f0
-( is the standard ) show
-221.5 589.5 moveto
-12 f0
-(bit-flip mutation) show
-300.5 589.5 moveto
-12 f0
-( that randomly flips all bits with a) show
-56 575.8 moveto
-12 f0
-(given probability ) show
-141.3 575.8 moveto
-10 f5
-(P_MUT_PER_BIT.) show
-225.3 575.8 moveto
-12 f0
-( ) show
-56 562 moveto
-12 f1
-(Warning) show
-102 562 moveto
-12 f0
-(: the ) show
-125.9 562 moveto
-10 f5
-(P_MUT_PER_BIT) show
-203.9 562 moveto
-12 f0
-( probability is an ) show
-287.8 562 moveto
-12 f0
-(internal parameter) show
-375.4 562 moveto
-12 f0
-( of the) show
-56 548.2 moveto
-12 f5
-(eoBinMutation) show
-149.5 548.2 moveto
-12 f0
-(, it is ) show
-176.1 548.2 moveto
-12 f1
-(NOT) show
-202.1 548.2 moveto
-12 f0
-( the probability of mutation at the individual level. EO) show
-56 534.6 moveto
-12 f0
-(corrects what can be viewed as an inconsistency in Holland's original work, further) show
-56 521.3 moveto
-12 f0
-(used in Goldberg's book by separating the probability of mutation for each individual) show
-56 508 moveto
-12 f0
-(\(independent of the type of mutation that will be applied\) from the probability of) show
-56 494.7 moveto
-12 f0
-(flipping each bit, which is specific of the bit-flip mutation. Hence, to run the same) show
-56 481.4 moveto
-12 f0
-(algorithm as Goldberg's SGA, the mutation probability \(at individual level\) is 1, and the) show
-56 468.1 moveto
-12 f0
-(probability of flipping each bit is ) show
-217.3 468.1 moveto
-10 f5
-(P_MUT_PER_BIT.) show
-301.3 468.1 moveto
-12 f0
-( ) show
-46.1 456.6 moveto
-3.3 3.3 c stroke
-56 452.5 moveto
-12 f0
-(Real) show
-77.9 452.5 moveto
-12 f0
-( The crossover ) show
-151.5 452.5 moveto
-14 f1
-(eoArithmeticCrossover) show
-290.6 452.5 moveto
-12 f0
-( is the standard ) show
-365.9 452.5 moveto
-12 f0
-(arithmetic crossover) show
-463.5 452.5 moveto
-12 f0
-( for) show
-56 438.8 moveto
-12 f0
-(real-valued vectors, that chooses a point randomly on the segment between both parents) show
-56 423.2 moveto
-12 f0
-(\(also termed ) show
-118.6 423.2 moveto
-12 f0
-(BLX-0) show
-152.5 423.2 moveto
-12 f0
-(\). ) show
-162.4 423.2 moveto
-14 f1
-(eoUniformMutation) show
-282.9 423.2 moveto
-12 f0
-( is the ) show
-314.5 423.2 moveto
-12 f0
-(uniform mutation) show
-398.8 423.2 moveto
-12 f0
-( for real-valued) show
-56 409.5 moveto
-12 f0
-(vectors that choses a new value for each variable uniformly on an interval centered on) show
-56 396.2 moveto
-12 f0
-(the parent value. The width of the interval is an ) show
-286.2 396.2 moveto
-12 f0
-(internal parameter) show
-373.8 396.2 moveto
-12 f0
-( of the object, here) show
-56 382.9 moveto
-12 f0
-(called ) show
-87.6 382.9 moveto
-10 f5
-(EPSILON) show
-129.7 382.9 moveto
-12 f0
-(.) show
-132.6 382.9 moveto
-12 f0
-( ) show
-56 369.6 moveto
-12 f0
-( ) show
-18.1 359.9 moveto
-3.3 3.3 c fill
-28 355.8 moveto
-12 f1
-(Stopping criterion:) show
-125.6 355.8 moveto
-12 f0
-( Specify a ) show
-176.5 355.8 moveto
-12 f0
-(maximum number of generations) show
-336.1 355.8 moveto
-12 f0
-( to run \() show
-374.4 355.8 moveto
-12 f0
-(Bit) show
-389 355.8 moveto
-12 f0
-( - ) show
-398.9 355.8 moveto
-12 f0
-(Real) show
-420.8 355.8 moveto
-12 f0
-(\): the) show
-28 342.5 moveto
-12 f0
-(simplest of all stopping criteria at the moment, using an object of a sub-class of class) show
-28 326.9 moveto
-14 f1
-(eoContinue) show
-96.4 326.9 moveto
-12 f0
-(.) show
-99.3 326.9 moveto
-12 f0
-( ) show
-28 313.2 moveto
-12 f0
-( ) show
-18.1 303.5 moveto
-3.3 3.3 c fill
-28 299.4 moveto
-12 f1
-(The algorithm: ) show
-108.6 299.4 moveto
-12 f0
-(the simple algorithm that is used here, called ) show
-329.2 299.4 moveto
-12 f5
-(eoSGA ) show
-372.3 299.4 moveto
-12 f0
-(requires as parameters) show
-28 285.8 moveto
-12 f0
-(a ) show
-36.3 285.8 moveto
-12 f0
-(selector) show
-73.6 285.8 moveto
-12 f0
-(, a ) show
-87.9 285.8 moveto
-12 f0
-(crossover) show
-133.9 285.8 moveto
-12 f0
-( and the associated ) show
-227.2 285.8 moveto
-12 f0
-(crossover rate) show
-294.1 285.8 moveto
-12 f0
-(, a ) show
-308.4 285.8 moveto
-12 f0
-(mutation) show
-351 285.8 moveto
-12 f0
-( and the associated) show
-28 272.5 moveto
-12 f0
-(mutation rate,) show
-94.6 272.5 moveto
-12 f0
-( and a ) show
-126.2 272.5 moveto
-12 f0
-(stopping criterion) show
-211.1 272.5 moveto
-12 f0
-(. Take a look at the corresponding ) show
-377.7 272.5 moveto
-12 f0
-(constructor) show
-431.7 272.5 moveto
-12 f0
-( of the) show
-28 259.2 moveto
-12 f0
-(class ) show
-54.3 259.2 moveto
-12 f5
-(eoSGA) show
-90.4 259.2 moveto
-12 f0
-(: it only initializes its ) show
-194.7 259.2 moveto
-12 f0
-(private data) show
-251 259.2 moveto
-12 f0
-( with the parameters. Now look at the) show
-28 245.6 moveto
-12 f0
-(operator\(\)) show
-75.9 245.6 moveto
-12 f0
-( method - the one that is called in the code for ) show
-299.1 245.6 moveto
-12 f0
-(FirstBitGA) show
-353.1 245.6 moveto
-12 f0
-( or ) show
-369 245.6 moveto
-12 f0
-(FirstRealGA) show
-430.3 245.6 moveto
-12 f0
-( - and) show
-28 232.3 moveto
-12 f0
-(you'll find out that is is as simple as it sounds.) show
-250.3 232.3 moveto
-12 f0
-( ) show
-28 219 moveto
-12 f0
-( ) show
-18.1 209.3 moveto
-3.3 3.3 c fill
-28 205.2 moveto
-12 f1
-(Output) show
-65.3 205.2 moveto
-12 f0
-(: After running the algorithm, output the sorted final population \() show
-377.6 205.2 moveto
-12 f0
-(Bit) show
-392.2 205.2 moveto
-12 f0
-( - ) show
-402.1 205.2 moveto
-12 f0
-(Real) show
-424 205.2 moveto
-12 f0
-(\) - and look) show
-28 191.9 moveto
-12 f0
-(at the best individual: this is the result of the algorithm.) show
-293.6 191.9 moveto
-12 f0
-( ) show
-28 178.6 moveto
-12 f0
-( ) show
-18.1 168.9 moveto
-3.3 3.3 c fill
-28 164.8 moveto
-12 f1
-(Main body:) show
-87.6 164.8 moveto
-12 f0
-( for technical reasons \(intercepting the exceptions\), we need a main like this one) show
-28 151.5 moveto
-12 f0
-(\() show
-31.9 151.5 moveto
-12 f0
-(Bit) show
-46.5 151.5 moveto
-12 f0
-( - ) show
-56.4 151.5 moveto
-12 f0
-(Real) show
-78.3 151.5 moveto
-12 f0
-(\)., and you should not touch it unless you know what you are doing. Simply note) show
-28 138.2 moveto
-12 f0
-(that this main calls the function main_function, which we have been discussing up to now!) show
-463.6 138.2 moveto
-12 f0
-( ) show
-0 109.3 moveto
-14 f1
-(Exercise 1: maximize your own function) show
-0 82.3 moveto
-12 f0
-(This is very easy - if your search space is that of bitstring or of unbounded real numbers. ) show
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-18.1 748.8 moveto
-3.3 3.3 c fill
-28 744.7 moveto
-12 f0
-(Go to the tutorial directory, and ) show
-182.9 744.7 moveto
-12 f0
-(copy) show
-206.2 744.7 moveto
-12 f0
-( the program you want to modify onto ) show
-392.3 744.7 moveto
-10 f5
-(mytest.cpp.) show
-458.3 744.7 moveto
-12 f0
-( ) show
-18.1 735.5 moveto
-3.3 3.3 c fill
-28 731.4 moveto
-12 f0
-(Edit) show
-48 731.4 moveto
-12 f0
-( ) show
-51.1 731.4 moveto
-10 f5
-(mytest.cpp) show
-111.1 731.4 moveto
-12 f0
-( with any text editor:) show
-211 731.4 moveto
-12 f0
-( ) show
-18.1 722.2 moveto
-3.3 3.3 c fill
-28 718.1 moveto
-12 f0
-(Modify) show
-63.9 718.1 moveto
-12 f0
-( the fitness function itself \() show
-192.8 718.1 moveto
-12 f0
-(binary_value) show
-255.4 718.1 moveto
-12 f0
-( in ) show
-270.7 718.1 moveto
-10 f5
-(FirstBitGA) show
-330.7 718.1 moveto
-12 f0
-(,) show
-333.6 718.1 moveto
-12 f0
-(real_value) show
-383.5 718.1 moveto
-12 f0
-( in ) show
-401.8 718.1 moveto
-10 f5
-(FirstRealGA) show
-467.8 718.1 moveto
-12 f0
-(\)) show
-471.7 718.1 moveto
-12 f0
-( ) show
-18.1 708.9 moveto
-3.3 3.3 c fill
-28 704.8 moveto
-12 f0
-(Compile) show
-69.3 704.8 moveto
-12 f0
-( the program by typing ) show
-182.4 704.8 moveto
-10 f5
-(make mytest) show
-248.4 704.8 moveto
-12 f0
-( at system prompt) show
-334 704.8 moveto
-12 f0
-( ) show
-18.1 695.6 moveto
-3.3 3.3 c fill
-28 691.5 moveto
-12 f0
-(Run) show
-48 691.5 moveto
-12 f0
-( the new program by entering the command ) show
-260.8 691.5 moveto
-10 f5
-(mytest) show
-296.8 691.5 moveto
-12 f0
-( at system prompt.) show
-385.4 691.5 moveto
-12 f0
-( ) show
-0 662.6 moveto
-14 f1
-(Exercise 2: check the differences between both programs) show
-0 635.6 moveto
-12 f0
-(Go and take a look at the code for these programs ) show
-241.6 635.6 moveto
-12 f0
-(\() show
-245.5 635.6 moveto
-12 f0
-(Bit) show
-260.1 635.6 moveto
-12 f0
-( - ) show
-270 635.6 moveto
-12 f0
-(Real) show
-291.9 635.6 moveto
-12 f0
-(\)) show
-295.8 635.6 moveto
-12 f0
-(. Use the symbolic representation of) show
-0 622.3 moveto
-12 f0
-(an Evolutionary Algorithm \(you should understand that figure now, otherwise go ) show
-392.6 622.3 moveto
-12 f0
-(there) show
-416.5 622.3 moveto
-12 f0
-( and come) show
-0 609 moveto
-12 f0
-(back\) to understand how each part of the EA is coded. Try to spot the differences between both) show
-0 595.7 moveto
-12 f0
-(codes: there are not so many! ) show
-0 582.4 moveto
-12 f0
-(After you've tried that alone, take a look at the ) show
-227.6 582.4 moveto
-12 f0
-(solution) show
-266.2 582.4 moveto
-12 f0
-( :-\) ) show
-0 569.1 moveto
-12 f0
-( ) show
-0 540.2 moveto
-14 f1
-(Exercise 3: change the selection procedure) show
-0 513.2 moveto
-12 f0
-(This is rather straightforward ... if you know what other types of selection are available! ) show
-0 499.9 moveto
-12 f0
-(At the moment, let's only consider only the following simple ones: ) show
-18.1 477.4 moveto
-3.3 3.3 c fill
-28 473.3 moveto
-12 f0
-(You already know the ) show
-137.3 473.3 moveto
-12 f0
-(tournament selection) show
-237.6 473.3 moveto
-12 f0
-( ) show
-28 460 moveto
-12 f0
-(Syntax: ) show
-70.6 460 moveto
-10 f5
-(eoDetTournament select\(T_SIZE\); ) show
-310.6 460 moveto
-10 f4
-(// T_SIZE in [2,POP_SIZE\)) show
-460.6 460 moveto
-12 f0
-( ) show
-18.1 450.8 moveto
-3.3 3.3 c fill
-28 446.7 moveto
-12 f0
-(Try the well-known ) show
-126.3 446.7 moveto
-12 f0
-(roulette wheel) show
-194.6 446.7 moveto
-12 f0
-( ) show
-28 433.4 moveto
-12 f0
-( ) show
-30.9 433.4 moveto
-12 f0
-(Syntax: ) show
-70.5 433.4 moveto
-12 f0
-( ) show
-79.4 433.4 moveto
-10 f5
-(eoProportional select;) show
-247.4 433.4 moveto
-12 f0
-( ) show
-18.1 424.2 moveto
-3.3 3.3 c fill
-28 420.1 moveto
-12 f0
-(Or the ) show
-61.3 420.1 moveto
-12 f0
-(stochastic binary tournament) show
-199.9 420.1 moveto
-12 f0
-( ) show
-28 406.8 moveto
-12 f0
-(Syntax: ) show
-70.6 406.8 moveto
-10 f5
-(eoStochTournament select\(RATE\); ) show
-298.6 406.8 moveto
-10 f4
-( // RATE in ]0.5,1]) show
-430.6 406.8 moveto
-12 f0
-( ) show
-18.1 397.6 moveto
-3.3 3.3 c fill
-28 393.5 moveto
-12 f0
-(and of course the ) show
-113.3 393.5 moveto
-12 f0
-(random) show
-149.9 393.5 moveto
-12 f0
-( selection should give bad results!) show
-312.8 393.5 moveto
-12 f0
-( ) show
-28 380.2 moveto
-12 f0
-(Syntax: ) show
-70.6 380.2 moveto
-10 f5
-(eoSelectRandom select;) show
-0 354.1 moveto
-12 f0
-(Note that all these classes of eoObjects are derived from the abstract class ) show
-357.5 354.1 moveto
-14 f1
-(eoSelectOne.) show
-434 354.1 moveto
-12 f0
-( ) show
-0 321 moveto
-18 f1
-(Lessons:) show
-66 321 moveto
-12 f0
-( ) show
-18.1 297.2 moveto
-3.3 3.3 c fill
-28 293.1 moveto
-12 f0
-(in EO, all actions are performed by ) show
-199.9 293.1 moveto
-12 f0
-(functor objects) show
-271.5 293.1 moveto
-12 f0
-( \(this section is the last time in this tutorial) show
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