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//Coded entirely by Terence Cox
#include <iostream> 
#include <string>
#include <cstdlib> 
#include <math.h>
#include <iomanip>
 
using namespace std;
 
string substitute(double,double,string);
string simplify(bool,char, string);
double** fill2Ddyrow(int, int, double, double, double, double**);
 
double evaluator(string p_equ,bool debug)
	{
	start1:
	int fp=-1, lp=-1;
	//Search for Paraenthesis
	for (int c = 0; c < p_equ.size(); c++)
		{
		if (p_equ.at(c) == '(')
			fp = c;
		if (p_equ.at(c) == ')')
			{
			lp = c;
			break;
			}
		}
		//if parenthesis exist extract the expression within them
	if (fp < 0 && lp < 0)
		{
		if (debug == true)
			cout << "no more parentheses" << endl;
		}
 
	else
		{
		//extract from parenthesis and start the evauluation with the rest, then replaces solution in primary equ
		string s_equ (p_equ,fp+1, (lp-1) - fp);
		//solves what's in the parenthesis and eliminates the ()'s
		p_equ.replace(fp, (lp+1) - fp, to_string(evaluator(s_equ,debug)));
		goto start1;
		}
	//perform PEMDAS
	p_equ= simplify(debug,'-', simplify(debug,'+', simplify(debug,'*', simplify(debug,'/', simplify(debug,'^', p_equ)))));
 
	//string fsresult(p_equ, fp + 1, lp - fp);
   	double fresult = stod(p_equ);
	return fresult;
	}
 
 
string simplify(bool debug,char oper, string expr)
{
start2:
	int p, fnfp = -1, snlp = -1, reader = 1, runs = 0;
	double num1, num2, result;
	bool single_neg = false;
 
	p = -1;
	for (int c = 0; c < expr.size(); c++)
	{
		if (expr.at(c) == oper)
		{
			if (c>0) //prevents error when a negative number is first in the expression
				{
				//assigns the position of the operator to p
				p = c;
				break;
				}
 
		}
	}
	if (p < 0)
		{
		if (debug == true)
			cout << "no " << oper << endl;
		}
 
	else
	{
		runs++;
		while (expr.at(p - reader) == '-' ||expr.at(p - reader) == '.' || isdigit(expr.at(p - reader)))
		{
			fnfp = p - reader;
			reader++;
			if (p - reader < 0) //handles exception where this reads outside of memory
				break;
			if (expr.at(fnfp) == '-')//hnadles a runtime error which causes negative numbers to be omitted
				{
				break;
				}
		}
		reader = 1;
		while (expr.at(p + reader) == '-' || expr.at(p + reader) == '.' || isdigit(expr.at(p + reader)))
		{
			snlp = p + reader;
			//This code checks to make sure only one negative symbol is allowed, will break if another is found.
			if (expr.at(snlp) == '-')
			{
				if (single_neg == true)
					break;
				else
					single_neg=true;
			}
			reader++;
			if (p + reader > expr.size() - 1) //handles exception where this reads outside of memory
				break;
		}
		string strnum1(expr, fnfp, p - fnfp);
		string strnum2(expr, p + 1, snlp - p);
		double num1 = stod(strnum1);
		double num2 = stod(strnum2);
 
 
		switch (oper)
		{
		case '^':
			result = pow(num1, num2);
			break;
		case '/':
			result = num1 / num2;
			break;
		case '*':
			result = num1*num2;
			break;
		case '+':
			result = num1 + num2;
			break;
		case '-':
			result = num1 - num2;
			break;
		}
		//result = (int)(result * 10000.0) / 10000.0;
		if (debug==true)
			cout << "after performing " << oper << " the result is " << result << endl;
		//replace the solve part of the expression into the entire expression
		expr.replace(fnfp, (snlp + 1) - fnfp, to_string(result));
		goto start2;
	}
	if(debug==true)
		cout << "solved " << runs << " " << oper << " operations" << endl;
	return expr;
}
 
string substitute(double X,double Y,string equ)
{
	//checks each character for X or Y to replace them with actual values
	for (int c = 0; c < equ.size(); c++)
	{
		if (equ.at(c) == 'X'||equ.at(c)=='x')
			equ.replace(c, 1, to_string(X));
		if (equ.at(c) == 'Y' || equ.at(c) == 'y')
			equ.replace(c, 1, to_string(Y));
	}
	return equ;
}
 
 
 
int main()
{
Begin:
	cout.precision(5);
	string equation;
	int steps;
	float X1, X2, Y1, K, h, d;
	double change;
	bool debug = false, use_table = true, userres;
	cout << "What is the differential equation you want to use Euler's method on?\ny'= ";
	cin >> equation;
	cout << "Fill this in\n (y(x) = ___)\n    |     \n    v     \nx= ";
	cin >> X1;
	cout << "and this\n (y(" << X1 << ") = __)\n           |\n           v\n        y= ";
	cin >> Y1;
	cout << "How many steps of accuracy do you want to use: ";
	cin >> steps;
	cout << "Last question, what is the value of X you want to use to solve Y" << endl;
	cin >> X2;
	h = (X2 - X1) / steps;
	cout << "The size of h is " << h << "." << endl;
 
	//create a new 2D Dynamic Array
	double** table = new double*[steps + 1];
	for (int i = 0; i < steps + 1; ++i)
		table[i] = new double[4];
 
	//fill in table with obtained information
	table = fill2Ddyrow(0,0,X1,Y1,0,table);
 
		//perform the Euler's process for the inputted amount of steps
		for (int t = 0; t < steps; t++)
		{
			K = evaluator(substitute(table[t][1], table[t][2], equation),debug);
			table[t][3] = K;
			d = K * h;
			table=fill2Ddyrow(t + 1, t + 1,X1+(h*(t + 1)),d + (table[t][2]),0,table);
		}
 
	//outputs the values in the table into the console
		cout << left << setw(11) << "step i" << setw(11) << "X1" << setw(11) << "Y1" << setw(11) << "K" << endl;
		for (int row = 0; row < steps + 1; row++)
		{
			cout << endl;
			for (int column = 0; column < 4; column++)
			{
				cout << setw(11) << table[row][column];
			}
		}
	cout << endl;
	cout << "The Final Answer is " << table[steps][2] << endl;
	cout << "Done" << endl;
	cout << "Do you want to enter another Diffy-Q?, 1(True) or 0(False)" << endl;
	cin >> userres;
	if (userres == 1)
		goto Begin;
	system("pause");
}
 
double** fill2Ddyrow(int row,int step, double X, double Y, double K,double** tablef)
	{
	tablef[row][0] = step;
	tablef[row][1] = X;
	tablef[row][2] = Y;
	tablef[row][3] = K;
	return tablef;
	}

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

Runtime error #stdin #stdout 0.02s 15376KB

stdin

(x^2)/(y-1)
-1
-.5
4500
2
0

stdout

What is the differential equation you want to use Euler's method on?
y'= Fill this in
 (y(x) = ___)
    |     
    v     
x= and this
 (y(-1) = __)
           |
           v
        y= How many steps of accuracy do you want to use: Last question, what is the value of X you want to use to solve Y
The size of h is 0.00066667.
step i     X1         Y1         K          

0          -1         -0.5       -0.66667   
1          -0.99933   -0.50044   -0.66558   
2          -0.99867   -0.50089   -0.6645    
3          -0.998     -0.50133   -0.66341   
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864        -0.424     -0.69306   -0.10618   
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869        -0.42067   -0.69341   -0.1045    
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872        -0.41867   -0.69362   -0.1035    
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878        -0.41467   -0.69403   -0.1015    
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881        -0.41267   -0.69423   -0.10051   
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883        -0.41133   -0.69437   -0.099857  
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889        -0.40733   -0.69476   -0.097902  
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892        -0.40533   -0.69496   -0.096932  
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898        -0.40133   -0.69534   -0.095006  
899        -0.40067   -0.69541   -0.094688  
900        -0.4       -0.69547   -0.094369  
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902        -0.39867   -0.69559   -0.093734  
903        -0.398     -0.69566   -0.093417  
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913        -0.39133   -0.69627   -0.090282  
914        -0.39067   -0.69633   -0.089971  
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916        -0.38933   -0.69645   -0.089351  
917        -0.38867   -0.69651   -0.089043  
918        -0.388     -0.69657   -0.088734  
919        -0.38733   -0.69663   -0.088427  
920        -0.38667   -0.69669   -0.088119  
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923        -0.38467   -0.69686   -0.087202  
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925        -0.38333   -0.69698   -0.086592  
926        -0.38267   -0.69704   -0.086288  
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928        -0.38133   -0.69715   -0.085682  
929        -0.38067   -0.69721   -0.08538   
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931        -0.37933   -0.69732   -0.084777  
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933        -0.378     -0.69743   -0.084176  
934        -0.37733   -0.69749   -0.083877  
935        -0.37667   -0.69755   -0.083578  
936        -0.376     -0.6976    -0.08328   
937        -0.37533   -0.69766   -0.082982  
938        -0.37467   -0.69771   -0.082685  
939        -0.374     -0.69777   -0.082388  
940        -0.37333   -0.69782   -0.082092  
941        -0.37267   -0.69788   -0.081797  
942        -0.372     -0.69793   -0.081501  
943        -0.37133   -0.69799   -0.081207  
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961        -0.35933   -0.69893   -0.076001  
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967        -0.35533   -0.69923   -0.074305  
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972        -0.352     -0.69948   -0.072907  
973        -0.35133   -0.69953   -0.072629  
974        -0.35067   -0.69958   -0.072352  
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976        -0.34933   -0.69967   -0.071799  
977        -0.34867   -0.69972   -0.071523  
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979        -0.34733   -0.69982   -0.070972  
980        -0.34667   -0.69986   -0.070699  
981        -0.346     -0.69991   -0.070425  
982        -0.34533   -0.69996   -0.070152  
983        -0.34467   -0.7       -0.069879  
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985        -0.34333   -0.7001    -0.069336  
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988        -0.34133   -0.70023   -0.068525  
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990        -0.34      -0.70033   -0.067987  
991        -0.33933   -0.70037   -0.067719  
992        -0.33867   -0.70042   -0.067451  
993        -0.338     -0.70046   -0.067184  
994        -0.33733   -0.70051   -0.066918  
995        -0.33667   -0.70055   -0.066652  
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997        -0.33533   -0.70064   -0.066121  
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999        -0.334     -0.70073   -0.065593  
1000       -0.33333   -0.70077   -0.06533   
1001       -0.33267   -0.70081   -0.065067  
1002       -0.332     -0.70086   -0.064805  
1003       -0.33133   -0.7009    -0.064543  
1004       -0.33067   -0.70094   -0.064283  
1005       -0.33      -0.70099   -0.064022  
1006       -0.32933   -0.70103   -0.063761  
1007       -0.32867   -0.70107   -0.063502  
1008       -0.328     -0.70111   -0.063243  
1009       -0.32733   -0.70116   -0.062985  
1010       -0.32667   -0.7012    -0.062727  
1011       -0.326     -0.70124   -0.06247   
1012       -0.32533   -0.70128   -0.062213  
1013       -0.32467   -0.70132   -0.061957  
1014       -0.324     -0.70136   -0.061701  
1015       -0.32333   -0.70141   -0.061446  
1016       -0.32267   -0.70145   -0.061191  
1017       -0.322     -0.70149   -0.060937  
1018       -0.32133   -0.70153   -0.060684  
1019       -0.32067   -0.70157   -0.060431  
1020       -0.32      -0.70161   -0.060178  
1021       -0.31933   -0.70165   -0.059927  
1022       -0.31867   -0.70169   -0.059675  
1023       -0.318     -0.70173   -0.059424  
1024       -0.31733   -0.70177   -0.059174  
1025       -0.31667   -0.70181   -0.058924  
1026       -0.316     -0.70185   -0.058675  
1027       -0.31533   -0.70189   -0.058426  
1028       -0.31467   -0.70193   -0.058178  
1029       -0.314     -0.70196   -0.057931  
1030       -0.31333   -0.702     -0.057684  
1031       -0.31267   -0.70204   -0.057438  
1032       -0.312     -0.70208   -0.057191  
1033       -0.31133   -0.70212   -0.056946  
1034       -0.31067   -0.70216   -0.056701  
1035       -0.31      -0.70219   -0.056457  
1036       -0.30933   -0.70223   -0.056213  
1037       -0.30867   -0.70227   -0.055969  
1038       -0.308     -0.70231   -0.055727  
1039       -0.30733   -0.70234   -0.055485  
1040       -0.30667   -0.70238   -0.055243  
1041       -0.306     -0.70242   -0.055002  
1042       -0.30533   -0.70245   -0.054761  
1043       -0.30467   -0.70249   -0.054521  
1044       -0.304     -0.70253   -0.054282  
1045       -0.30333   -0.70256   -0.054043  
1046       -0.30267   -0.7026    -0.053804  
1047       -0.302     -0.70263   -0.053566  
1048       -0.30133   -0.70267   -0.053329  
1049       -0.30067   -0.70271   -0.053093  
1050       -0.3       -0.70274   -0.052856  
1051       -0.29933   -0.70278   -0.05262   
1052       -0.29867   -0.70281   -0.052385  
1053       -0.298     -0.70285   -0.05215   
1054       -0.29733   -0.70288   -0.051916  
1055       -0.29667   -0.70292   -0.051683  
1056       -0.296     -0.70295   -0.05145   
1057       -0.29533   -0.70298   -0.051217  
1058       -0.29467   -0.70302   -0.050985  
1059       -0.294     -0.70305   -0.050754  
1060       -0.29333   -0.70309   -0.050522  
1061       -0.29267   -0.70312   -0.050292  
1062       -0.292     -0.70315   -0.050062  
1063       -0.29133   -0.70319   -0.049833  
1064       -0.29067   -0.70322   -0.049604  
1065       -0.29      -0.70325   -0.049376  
1066       -0.28933   -0.70329   -0.049149  
1067       -0.28867   -0.70332   -0.048922  
1068       -0.288     -0.70335   -0.048695  
1069       -0.28733   -0.70338   -0.048468  
1070       -0.28667   -0.70342   -0.048243  
1071       -0.286     -0.70345   -0.048018  
1072       -0.28533   -0.70348   -0.047793  
1073       -0.28467   -0.70351   -0.047569  
1074       -0.284     -0.70354   -0.047346  
1075       -0.28333   -0.70358   -0.047123  
1076       -0.28267   -0.70361   -0.046901  
1077       -0.282     -0.70364   -0.046679  
1078       -0.28133   -0.70367   -0.046457  
1079       -0.28067   -0.7037    -0.046237  
1080       -0.28      -0.70373   -0.046017  
1081       -0.27933   -0.70376   -0.045797  
1082       -0.27867   -0.70379   -0.045578  
1083       -0.278     -0.70382   -0.045359  
1084       -0.27733   -0.70385   -0.045141  
1085       -0.27667   -0.70388   -0.044924  
1086       -0.276     -0.70391   -0.044707  
1087       -0.27533   -0.70394   -0.04449   
1088       -0.27467   -0.70397   -0.044274  
1089       -0.274     -0.704     -0.044059  
1090       -0.27333   -0.70403   -0.043844  
1091       -0.27267   -0.70406   -0.043629  
1092       -0.272     -0.70409   -0.043416  
1093       -0.27133   -0.70412   -0.043202  
1094       -0.27067   -0.70415   -0.04299   
1095       -0.27      -0.70418   -0.042777  
1096       -0.26933   -0.7042    -0.042565  
1097       -0.26867   -0.70423   -0.042355  
1098       -0.268     -0.70426   -0.042144  
1099       -0.26733   -0.70429   -0.041934  
1100       -0.26667   -0.70432   -0.041724  
1101       -0.266     -0.70435   -0.041515  
1102       -0.26533   -0.70437   -0.041307  
1103       -0.26467   -0.7044    -0.041099  
1104       -0.264     -0.70443   -0.040891  
1105       -0.26333   -0.70446   -0.040684  
1106       -0.26267   -0.70448   -0.040478  
1107       -0.262     -0.70451   -0.040272  
1108       -0.26133   -0.70454   -0.040067  
1109       -0.26067   -0.70456   -0.039862  
1110       -0.26      -0.70459   -0.039658  
1111       -0.25933   -0.70462   -0.039454  
1112       -0.25867   -0.70464   -0.039251  
1113       -0.258     -0.70467   -0.039048  
1114       -0.25733   -0.70469   -0.038846  
1115       -0.25667   -0.70472   -0.038644  
1116       -0.256     -0.70475   -0.038443  
1117       -0.25533   -0.70477   -0.038243  
1118       -0.25467   -0.7048    -0.038043  
1119       -0.254     -0.70482   -0.037843  
1120       -0.25333   -0.70485   -0.037644  
1121       -0.25267   -0.70487   -0.037446  
1122       -0.252     -0.7049    -0.037248  
1123       -0.25133   -0.70492   -0.03705   
1124       -0.25067   -0.70495   -0.036854  
1125       -0.25      -0.70497   -0.036657  
1126       -0.24933   -0.705     -0.036462  
1127       -0.24867   -0.70502   -0.036266  
1128       -0.248     -0.70504   -0.036072  
1129       -0.24733   -0.70507   -0.035878  
1130       -0.24667   -0.70509   -0.035684  
1131       -0.246     -0.70512   -0.035491  
1132       -0.24533   -0.70514   -0.035298  
1133       -0.24467   -0.70516   -0.035106  
1134       -0.244     -0.70519   -0.034915  
1135       -0.24333   -0.70521   -0.034724  
1136       -0.24267   -0.70523   -0.034533  
1137       -0.242     -0.70526   -0.034343  
1138       -0.24133   -0.70528   -0.034154  
1139       -0.24067   -0.7053    -0.033965  
1140       -0.24      -0.70532   -0.033777  
1141       -0.23933   -0.70535   -0.033588  
1142       -0.23867   -0.70537   -0.033402  
1143       -0.238     -0.70539   -0.033215  
1144       -0.23733   -0.70541   -0.033028  
1145       -0.23667   -0.70544   -0.032843  
1146       -0.236     -0.70546   -0.032658  
1147       -0.23533   -0.70548   -0.032473  
1148       -0.23467   -0.7055    -0.032289  
1149       -0.234     -0.70552   -0.032105  
1150       -0.23333   -0.70554   -0.031922  
1151       -0.23267   -0.70557   -0.03174   
1152       -0.232     -0.70559   -0.031557  
1153       -0.23133   -0.70561   -0.031376  
1154       -0.23067   -0.70563   -0.031195  
1155       -0.23      -0.70565   -0.031015  
1156       -0.22933   -0.70567   -0.030835  
1157       -0.22867   -0.70569   -0.030656  
1158       -0.228     -0.70571   -0.030476  
1159       -0.22733   -0.70573   -0.030298  
1160       -0.22667   -0.70575   -0.03012   
1161       -0.226     -0.70577   -0.029943  
1162       -0.22533   -0.70579   -0.029766  
1163       -0.22467   -0.70581   -0.02959   
1164       -0.224     -0.70583   -0.029414  
1165       -0.22333   -0.70585   -0.029239  
1166       -0.22267   -0.70587   -0.029065  
1167       -0.222     -0.70589   -0.02889   
1168       -0.22133   -0.70591   -0.028717  
1169       -0.22067   -0.70593   -0.028544  
1170       -0.22      -0.70595   -0.028371  
1171       -0.21933   -0.70597   -0.028199  
1172       -0.21867   -0.70599   -0.028028  
1173       -0.218     -0.706     -0.027857  
1174       -0.21733   -0.70602   -0.027687  
1175       -0.21667   -0.70604   -0.027517  
1176       -0.216     -0.70606   -0.027347  
1177       -0.21533   -0.70608   -0.027178  
1178       -0.21467   -0.7061    -0.02701   
1179       -0.214     -0.70611   -0.026842  
1180       -0.21333   -0.70613   -0.026675  
1181       -0.21267   -0.70615   -0.026508  
1182       -0.212     -0.70617   -0.026342  
1183       -0.21133   -0.70618   -0.026177  
1184       -0.21067   -0.7062    -0.026012  
1185       -0.21      -0.70622   -0.025847  
1186       -0.20933   -0.70624   -0.025682  
1187       -0.20867   -0.70625   -0.025519  
1188       -0.208     -0.70627   -0.025356  
1189       -0.20733   -0.70629   -0.025193  
1190       -0.20667   -0.7063    -0.025031  
1191       -0.206     -0.70632   -0.02487   
1192       -0.20533   -0.70634   -0.024709  
1193       -0.20467   -0.70635   -0.024549  
1194       -0.204     -0.70637   -0.024389  
1195       -0.20333   -0.70639   -0.024229  
1196       -0.20267   -0.7064    -0.024071  
1197       -0.202     -0.70642   -0.023912  
1198       -0.20133   -0.70643   -0.023754  
1199       -0.20067   -0.70645   -0.023597  
1200       -0.2       -0.70647   -0.02344   
1201       -0.19933   -0.70648   -0.023284  
1202       -0.19867   -0.7065    -0.023129  
1203       -0.198     -0.70651   -0.022973  
1204       -0.19733   -0.70653   -0.022818  
1205       -0.19667   -0.70654   -0.022665  
1206       -0.196     -0.70656   -0.022511  
1207       -0.19533   -0.70657   -0.022358  
1208       -0.19467   -0.70659   -0.022205  
1209       -0.194     -0.7066    -0.022053  
1210       -0.19333   -0.70662   -0.021902  
1211       -0.19267   -0.70663   -0.021751  
1212       -0.192     -0.70665   -0.0216    
1213       -0.19133   -0.70666   -0.02145   
1214       -0.19067   -0.70668   -0.021301  
1215       -0.19      -0.70669   -0.021152  
1216       -0.18933   -0.7067    -0.021004  
1217       -0.18867   -0.70672   -0.020856  
1218       -0.188     -0.70673   -0.020709  
1219       -0.18733   -0.70675   -0.020562  
1220       -0.18667   -0.70676   -0.020416  
1221       -0.186     -0.70677   -0.02027   
1222       -0.18533   -0.70679   -0.020124  
1223       -0.18467   -0.7068    -0.01998   
1224       -0.184     -0.70681   -0.019836  
1225       -0.18333   -0.70683   -0.019692  
1226       -0.18267   -0.70684   -0.019549  
1227       -0.182     -0.70685   -0.019406  
1228       -0.18133   -0.70687   -0.019265  
1229       -0.18067   -0.70688   -0.019123  
1230       -0.18      -0.70689   -0.018982  
1231       -0.17933   -0.7069    -0.018841  
1232       -0.17867   -0.70692   -0.018702  
1233       -0.178     -0.70693   -0.018562  
1234       -0.17733   -0.70694   -0.018423  
1235       -0.17667   -0.70695   -0.018285  
1236       -0.176     -0.70697   -0.018147  
1237       -0.17533   -0.70698   -0.01801   
1238       -0.17467   -0.70699   -0.017873  
1239       -0.174     -0.707     -0.017736  
1240       -0.17333   -0.70701   -0.0176    
1241       -0.17267   -0.70703   -0.017465  
1242       -0.172     -0.70704   -0.017331  
1243       -0.17133   -0.70705   -0.017196  
1244       -0.17067   -0.70706   -0.017063  
1245       -0.17      -0.70707   -0.01693   
1246       -0.16933   -0.70708   -0.016797  
1247       -0.16867   -0.70709   -0.016665  
1248       -0.168     -0.7071    -0.016533  
1249       -0.16733   -0.70712   -0.016402  
1250       -0.16667   -0.70713   -0.016272  
1251       -0.166     -0.70714   -0.016142  
1252       -0.16533   -0.70715   -0.016012  
1253       -0.16467   -0.70716   -0.015883  
1254       -0.164     -0.70717   -0.015755  
1255       -0.16333   -0.70718   -0.015627  
1256       -0.16267   -0.70719   -0.0155    
1257       -0.162     -0.7072    -0.015373  
1258       -0.16133   -0.70721   -0.015246  
1259       -0.16067   -0.70722   -0.01512   
1260       -0.16      -0.70723   -0.014995  
1261       -0.15933   -0.70724   -0.01487   
1262       -0.15867   -0.70725   -0.014746  
1263       -0.158     -0.70726   -0.014622  
1264       -0.15733   -0.70727   -0.014499  
1265       -0.15667   -0.70728   -0.014377  
1266       -0.156     -0.70729   -0.014254  
1267       -0.15533   -0.7073    -0.014132  
1268       -0.15467   -0.70731   -0.014012  
1269       -0.154     -0.70732   -0.013891  
1270       -0.15333   -0.70733   -0.013771  
1271       -0.15267   -0.70734   -0.013651  
1272       -0.152     -0.70735   -0.013532  
1273       -0.15133   -0.70736   -0.013414  
1274       -0.15067   -0.70736   -0.013296  
1275       -0.15      -0.70737   -0.013178  
1276       -0.14933   -0.70738   -0.013061  
1277       -0.14867   -0.70739   -0.012945  
1278       -0.148     -0.7074    -0.012829  
1279       -0.14733   -0.70741   -0.012713  
1280       -0.14667   -0.70742   -0.012599  
1281       -0.146     -0.70742   -0.012484  
1282       -0.14533   -0.70743   -0.012371  
1283       -0.14467   -0.70744   -0.012258  
1284       -0.144     -0.70745   -0.012144  
1285       -0.14333   -0.70746   -0.012032  
1286       -0.14267   -0.70747   -0.011921  
1287       -0.142     -0.70747   -0.011809  
1288       -0.14133   -0.70748   -0.011699  
1289       -0.14067   -0.70749   -0.011588  
1290       -0.14      -0.7075    -0.011479  
1291       -0.13933   -0.7075    -0.01137   
1292       -0.13867   -0.70751   -0.011261  
1293       -0.138     -0.70752   -0.011153  
1294       -0.13733   -0.70753   -0.011045  
1295       -0.13667   -0.70753   -0.010939  
1296       -0.136     -0.70754   -0.010832  
1297       -0.13533   -0.70755   -0.010726  
1298       -0.13467   -0.70756   -0.01062   
1299       -0.134     -0.70756   -0.010516  
1300       -0.13333   -0.70757   -0.010411  
1301       -0.13267   -0.70758   -0.010308  
1302       -0.132     -0.70758   -0.010204  
1303       -0.13133   -0.70759   -0.010101  
1304       -0.13067   -0.7076    -0.009999  
1305       -0.13      -0.7076    -0.009897  
1306       -0.12933   -0.70761   -0.009796  
1307       -0.12867   -0.70762   -0.009695  
1308       -0.128     -0.70762   -0.009595  
1309       -0.12733   -0.70763   -0.009495  
1310       -0.12667   -0.70764   -0.009396  
1311       -0.126     -0.70764   -0.009297  
1312       -0.12533   -0.70765   -0.009199  
1313       -0.12467   -0.70765   -0.009101  
1314       -0.124     -0.70766   -0.009004  
1315       -0.12333   -0.70767   -0.008907  
1316       -0.12267   -0.70767   -0.008811  
1317       -0.122     -0.70768   -0.008716  
1318       -0.12133   -0.70768   -0.008621  
1319       -0.12067   -0.70769   -0.008527  
1320       -0.12      -0.7077    -0.008432  
1321       -0.11933   -0.7077    -0.008339  
1322       -0.11867   -0.70771   -0.008246  
1323       -0.118     -0.70771   -0.008154  
1324       -0.11733   -0.70772   -0.008062  
1325       -0.11667   -0.70772   -0.00797   
1326       -0.116     -0.70773   -0.007879  
1327       -0.11533   -0.70773   -0.007789  
1328       -0.11467   -0.70774   -0.0077    
1329       -0.114     -0.70774   -0.00761   
1330       -0.11333   -0.70775   -0.007521  
1331       -0.11267   -0.70775   -0.007433  
1332       -0.112     -0.70776   -0.007345  
1333       -0.11133   -0.70776   -0.007258  
1334       -0.11067   -0.70777   -0.007171  
1335       -0.11      -0.70777   -0.007085  
1336       -0.10933   -0.70778   -0.007     
1337       -0.10867   -0.70778   -0.006915  
1338       -0.108     -0.70779   -0.00683   
1339       -0.10733   -0.70779   -0.006746  
1340       -0.10667   -0.7078    -0.006662  
1341       -0.106     -0.7078    -0.006579  
1342       -0.10533   -0.70781   -0.006497  
1343       -0.10467   -0.70781   -0.006415  
1344       -0.104     -0.70781   -0.006333  
1345       -0.10333   -0.70782   -0.006252  
1346       -0.10267   -0.70782   -0.006172  
1347       -0.102     -0.70783   -0.006092  
1348       -0.10133   -0.70783   -0.006012  
1349       -0.10067   -0.70783   -0.005934  
1350       -0.1       -0.70784   -0.005855  
1351       -0.099333  -0.70784   -0.005777  
1352       -0.098667  -0.70785   -0.0057    
1353       -0.098     -0.70785   -0.005623  
1354       -0.097333  -0.70785   -0.005547  
1355       -0.096667  -0.70786   -0.005472  
1356       -0.096     -0.70786   -0.005396  
1357       -0.095333  -0.70787   -0.005321  
1358       -0.094667  -0.70787   -0.005247  
1359       -0.094     -0.70787   -0.005174  
1360       -0.093333  -0.70788   -0.0051    
1361       -0.092667  -0.70788   -0.005028  
1362       -0.092     -0.70788   -0.004956  
1363       -0.091333  -0.70789   -0.004884  
1364       -0.090667  -0.70789   -0.004814  
1365       -0.09      -0.70789   -0.004743  
1366       -0.089333  -0.7079    -0.004672  
1367       -0.088667  -0.7079    -0.004603  
1368       -0.088     -0.7079    -0.004534  
1369       -0.087333  -0.7079    -0.004466  
1370       -0.086667  -0.70791   -0.004398  
1371       -0.086     -0.70791   -0.00433   
1372       -0.085333  -0.70791   -0.004264  
1373       -0.084667  -0.70792   -0.004198  
1374       -0.084     -0.70792   -0.004131  
1375       -0.083333  -0.70792   -0.004066  
1376       -0.082667  -0.70792   -0.004001  
1377       -0.082     -0.70793   -0.003937  
1378       -0.081333  -0.70793   -0.003873  
1379       -0.080667  -0.70793   -0.00381   
1380       -0.08      -0.70793   -0.003747  
1381       -0.079333  -0.70794   -0.003685  
1382       -0.078667  -0.70794   -0.003623  
1383       -0.078     -0.70794   -0.003562  
1384       -0.077333  -0.70794   -0.003501  
1385       -0.076667  -0.70795   -0.003442  
1386       -0.076     -0.70795   -0.003382  
1387       -0.075333  -0.70795   -0.003323  
1388       -0.074667  -0.70795   -0.003264  
1389       -0.074     -0.70796   -0.003206  
1390       -0.073333  -0.70796   -0.003149  
1391       -0.072667  -0.70796   -0.003091  
1392       -0.072     -0.70796   -0.003035  
1393       -0.071333  -0.70796   -0.002979  
1394       -0.070667  -0.70797   -0.002924  
1395       -0.07      -0.70797   -0.002869  
1396       -0.069333  -0.70797   -0.002814  
1397       -0.068667  -0.70797   -0.002761  
1398       -0.068     -0.70797   -0.002707  
1399       -0.067333  -0.70798   -0.002655  
1400       -0.066667  -0.70798   -0.002602  
1401       -0.066     -0.70798   -0.00255   
1402       -0.065333  -0.70798   -0.002499  
1403       -0.064667  -0.70798   -0.002449  
1404       -0.064     -0.70798   -0.002398  
1405       -0.063333  -0.70799   -0.002348  
1406       -0.062667  -0.70799   -0.002299  
1407       -0.062     -0.70799   -0.002251  
1408       -0.061333  -0.70799   -0.002203  
1409       -0.060667  -0.70799   -0.002155  
1410       -0.06      -0.70799   -0.002108  
1411       -0.059333  -0.70799   -0.002061  
1412       -0.058667  -0.708     -0.002015  
1413       -0.058     -0.708     -0.00197   
1414       -0.057333  -0.708     -0.001924  
1415       -0.056667  -0.708     -0.00188   
1416       -0.056     -0.708     -0.001836  
1417       -0.055333  -0.708     -0.001793  
1418       -0.054667  -0.708     -0.001749  
1419       -0.054     -0.708     -0.001707  
1420       -0.053333  -0.70801   -0.001665  
1421       -0.052667  -0.70801   -0.001624  
1422       -0.052     -0.70801   -0.001583  
1423       -0.051333  -0.70801   -0.001543  
1424       -0.050667  -0.70801   -0.001503  
1425       -0.05      -0.70801   -0.001464  
1426       -0.049333  -0.70801   -0.001425  
1427       -0.048667  -0.70801   -0.001386  
1428       -0.048     -0.70801   -0.001349  
1429       -0.047333  -0.70801   -0.001311  
1430       -0.046667  -0.70802   -0.001275  
1431       -0.046     -0.70802   -0.001239  
1432       -0.045333  -0.70802   -0.001203  
1433       -0.044667  -0.70802   -0.001168  
1434       -0.044     -0.70802   -0.001133  
1435       -0.043333  -0.70802   -0.0011    
1436       -0.042667  -0.70802   -0.001066  
1437       -0.042     -0.70802   -0.001033  
1438       -0.041333  -0.70802   -0.001     
1439       -0.040667  -0.70802   -0.000968  
1440       -0.04      -0.70802   -0.000937  
1441       -0.039333  -0.70802   -0.000906  
1442       -0.038667  -0.70802   -0.000875  
1443       -0.038     -0.70803   -0.000845  
1444       -0.037333  -0.70803   -0.000816  
1445       -0.036667  -0.70803   -0.000787  
1446       -0.036     -0.70803   -0.000759  
1447       -0.035333  -0.70803   -0.000731  
1448

https://ideone.com/XoPU6m

language:

C++ (gcc 8.3)

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visibility:

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